version
stringclasses 1
value | hypothesis
stringlengths 5
112
| hypothesis_formula
stringclasses 410
values | facts
stringlengths 13
1.51k
| facts_formula
stringlengths 10
906
| proofs
sequencelengths 0
1
| proofs_formula
sequencelengths 0
1
| negative_hypothesis
stringlengths 5
102
â | negative_hypothesis_formula
stringlengths 3
37
â | negative_proofs
sequencelengths 0
1
| negative_original_tree_depth
int64 0
25
â | original_tree_depth
int64 1
1
| depth
int64 0
1
â | num_formula_distractors
int64 0
21
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
21
| proof_label
stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
stringclasses 3
values | negative_world_assump_label
stringclasses 2
values | prompt_serial
stringlengths 60
1.61k
| proof_serial
stringlengths 11
53
| prompt_serial_formula
stringlengths 54
980
| proof_serial_formula
stringlengths 11
53
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ããããã®ã³ãŒã«ã¯ãšãã€ã¢ãªãã°ããã®ã³ãŒã«ãäŒç«å±±ã ããããããã¯ã¡ãã¿ããªãããšããããšãåœã ããšããããšãäºå®ãšç°ãªã | ¬({A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa})) | fact1: ããããã®ã³ãŒã«ããšãã€ã¢ã ããšããããšã¯äºå®ãªãã°ããããç§è±äºåæ ¡ã§ãã£ãŠããããããšããããšããªããã®ããšããããšã¯äºå®ãšç°ãªã fact2: ãããã®ã³ãŒã«ã¯ãšãã€ã¢ãªãã°ãããäŒç«å±±ã§ããã¯ã¡ãã¿ããšããããšã¯ãªã fact3: ããäœãããããã°ãããããµã³ã¿ã³ããŒã«éè¡ã§ãããäžæ ¹å²žãäŒãèããªãããšããããšã¯åã fact4: ãããããã®ãçæãã«ç¹ããã°ãããããªã¡ã¬ã ããããå€çŒã ãšããããšã¯ãªãããšããããšãééãã fact5: ãããããã®ãèã«ãããªãã°ãããã蟿ãã©ãããŠããã¯å®®ä¹åã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšããªã fact6: ããäœããçæãã«ç¹ããã°ãããã¯ããããããã¯éµæ¬ããã蟌ãŸãªãããšããããšã誀ãã fact7: ãããããã®ã¯ãšãã€ã¢ãªãã°ããããäŒç«å±±ã§ããã¯ã¡ãã¿ããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšã¯ãªã fact8: ãããããã®ã¯ãšãã€ã¢ãªãã°ãããäŒç«å±±ã§ã¡ãã¿ããšããããšã¯ãªã fact9: ãããã®å·®ã蟌ã¿ããããã ãããªãã°ããããã¡ãã¿ããŠåž«é·ã«å€ããªãããšããããšã¯åã fact10: ãããã®ã³ãŒã«ã¯ãšãã€ã¢ãªãã°ããããäŒç«å±±ã ããããã¡ãã¿ãããšããããšã¯ééãã fact11: ãããã®ã³ãŒã«ãã€ãéã«ãããã°ãããã峰匵山ã§ãããå€çŒã ãšããããšããªãããšããããšãæãç«ã€ãšããããšããªã fact12: ããäœãã¯è¥¿å寺ãªãã°ãããããµã³ã¿ã³ããŒã«éè¡ã§ãã£ãŠçžéŠ¬ã ãšããããšããªããã®ããšããããšã¯ééãã fact13: ãããããã®ããŠã²ã©ããªãã°ãããã¯ãªã«ããããªããŠäººåŸ³ã§ãªãããšããããšã¯ééãã fact14: ããããã®ã³ãŒã«ã人埳ã ããšããããšãæãç«ãŠã°ãããã岩æå³ ããããã€ããããã¯ãšãã€ã¢ã§ãªãããšããããšã¯æãç«ããªã fact15: ããäœãã¯ããšããªãã°ããããææå°æ±ãèªãç¶ããèµå²¡ã ãšããããšããªãããšããããšã¯åã fact16: ãããã®ã³ãŒã«ãæµ
ãŸããªãã°ãããã¯ãã«ãããããŠã¡ãã¿ããªãããšããããšã¯æãç«ããªã fact17: ãããããã®ããšãã€ã¢ãªãã°ãããã¯äŒç«å±±ã ããããã¡ãã¿ãããšããããšã¯æãç«ã€ãšããããšããªã fact18: ãããããã®ãå€é
åŒã«æ¹¿ãã°ãããã¯æ¥ å±éŒ»ã ãããããŸãããšããããšã¯ãªãããšããããšãæãç«ããªã fact19: ãããã®ã³ãŒã«ãããè¶ãåãèšãããã°ãããã¯äŒç«å±±ã§ããããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªã | fact1: {A}{aa} -> ¬({JC}{aa} & ¬{FB}{aa}) fact2: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}) fact3: (x): {ES}x -> ¬({GF}x & ¬{JF}x) fact4: (x): {IO}x -> ¬({GP}x & ¬{P}x) fact5: (x): {CG}x -> ¬({F}x & ¬{CB}x) fact6: (x): {IO}x -> ¬({DJ}x & ¬{DU}x) fact7: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact8: (x): {A}x -> ({AA}x & ¬{AB}x) fact9: {GU}{dp} -> ¬({AB}{dp} & ¬{IA}{dp}) fact10: {A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact11: {K}{aa} -> ¬({AT}{aa} & ¬{P}{aa}) fact12: (x): {BS}x -> ¬({GF}x & ¬{O}x) fact13: (x): {EN}x -> ¬({HA}x & ¬{IK}x) fact14: {IK}{aa} -> ¬({AR}{aa} & ¬{A}{aa}) fact15: (x): {GR}x -> ¬({HN}x & ¬{BN}x) fact16: {H}{aa} -> ¬({GA}{aa} & ¬{AB}{aa}) fact17: (x): {A}x -> ¬({AA}x & {AB}x) fact18: (x): {CP}x -> ¬({EQ}x & ¬{CL}x) fact19: {FI}{aa} -> ¬({AA}{aa} & ¬{DJ}{aa}) | [
"fact7 -> hypothesis;"
] | [
"fact7 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 18 | 0 | 18 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ã³ãŒã«ããšãã€ã¢ã ããšããããšã¯äºå®ãªãã°ããããç§è±äºåæ ¡ã§ãã£ãŠããããããšããããšããªããã®ããšããããšã¯äºå®ãšç°ãªã fact2: ãããã®ã³ãŒã«ã¯ãšãã€ã¢ãªãã°ãããäŒç«å±±ã§ããã¯ã¡ãã¿ããšããããšã¯ãªã fact3: ããäœãããããã°ãããããµã³ã¿ã³ããŒã«éè¡ã§ãããäžæ ¹å²žãäŒãèããªãããšããããšã¯åã fact4: ãããããã®ãçæãã«ç¹ããã°ãããããªã¡ã¬ã ããããå€çŒã ãšããããšã¯ãªãããšããããšãééãã fact5: ãããããã®ãèã«ãããªãã°ãããã蟿ãã©ãããŠããã¯å®®ä¹åã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšããªã fact6: ããäœããçæãã«ç¹ããã°ãããã¯ããããããã¯éµæ¬ããã蟌ãŸãªãããšããããšã誀ãã fact7: ãããããã®ã¯ãšãã€ã¢ãªãã°ããããäŒç«å±±ã§ããã¯ã¡ãã¿ããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšã¯ãªã fact8: ãããããã®ã¯ãšãã€ã¢ãªãã°ãããäŒç«å±±ã§ã¡ãã¿ããšããããšã¯ãªã fact9: ãããã®å·®ã蟌ã¿ããããã ãããªãã°ããããã¡ãã¿ããŠåž«é·ã«å€ããªãããšããããšã¯åã fact10: ãããã®ã³ãŒã«ã¯ãšãã€ã¢ãªãã°ããããäŒç«å±±ã ããããã¡ãã¿ãããšããããšã¯ééãã fact11: ãããã®ã³ãŒã«ãã€ãéã«ãããã°ãããã峰匵山ã§ãããå€çŒã ãšããããšããªãããšããããšãæãç«ã€ãšããããšããªã fact12: ããäœãã¯è¥¿å寺ãªãã°ãããããµã³ã¿ã³ããŒã«éè¡ã§ãã£ãŠçžéŠ¬ã ãšããããšããªããã®ããšããããšã¯ééãã fact13: ãããããã®ããŠã²ã©ããªãã°ãããã¯ãªã«ããããªããŠäººåŸ³ã§ãªãããšããããšã¯ééãã fact14: ããããã®ã³ãŒã«ã人埳ã ããšããããšãæãç«ãŠã°ãããã岩æå³ ããããã€ããããã¯ãšãã€ã¢ã§ãªãããšããããšã¯æãç«ããªã fact15: ããäœãã¯ããšããªãã°ããããææå°æ±ãèªãç¶ããèµå²¡ã ãšããããšããªãããšããããšã¯åã fact16: ãããã®ã³ãŒã«ãæµ
ãŸããªãã°ãããã¯ãã«ãããããŠã¡ãã¿ããªãããšããããšã¯æãç«ããªã fact17: ãããããã®ããšãã€ã¢ãªãã°ãããã¯äŒç«å±±ã ããããã¡ãã¿ãããšããããšã¯æãç«ã€ãšããããšããªã fact18: ãããããã®ãå€é
åŒã«æ¹¿ãã°ãããã¯æ¥ å±éŒ»ã ãããããŸãããšããããšã¯ãªãããšããããšãæãç«ããªã fact19: ãããã®ã³ãŒã«ãããè¶ãåãèšãããã°ãããã¯äŒç«å±±ã§ããããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªã ; $hypothesis$ = ããããã®ã³ãŒã«ã¯ãšãã€ã¢ãªãã°ããã®ã³ãŒã«ãäŒç«å±±ã ããããããã¯ã¡ãã¿ããªãããšããããšãåœã ããšããããšãäºå®ãšç°ãªã ; $proof$ = | fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> ¬({JC}{aa} & ¬{FB}{aa}) fact2: {A}{aa} -> ({AA}{aa} & ¬{AB}{aa}) fact3: (x): {ES}x -> ¬({GF}x & ¬{JF}x) fact4: (x): {IO}x -> ¬({GP}x & ¬{P}x) fact5: (x): {CG}x -> ¬({F}x & ¬{CB}x) fact6: (x): {IO}x -> ¬({DJ}x & ¬{DU}x) fact7: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact8: (x): {A}x -> ({AA}x & ¬{AB}x) fact9: {GU}{dp} -> ¬({AB}{dp} & ¬{IA}{dp}) fact10: {A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact11: {K}{aa} -> ¬({AT}{aa} & ¬{P}{aa}) fact12: (x): {BS}x -> ¬({GF}x & ¬{O}x) fact13: (x): {EN}x -> ¬({HA}x & ¬{IK}x) fact14: {IK}{aa} -> ¬({AR}{aa} & ¬{A}{aa}) fact15: (x): {GR}x -> ¬({HN}x & ¬{BN}x) fact16: {H}{aa} -> ¬({GA}{aa} & ¬{AB}{aa}) fact17: (x): {A}x -> ¬({AA}x & {AB}x) fact18: (x): {CP}x -> ¬({EQ}x & ¬{CL}x) fact19: {FI}{aa} -> ¬({AA}{aa} & ¬{DJ}{aa}) ; $hypothesis$ = ¬({A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa})) ; $proof$ = | fact7 -> hypothesis; __DISPROVED__ |
0.3 | æãããšã¯èµ·ãããªãããããã¯è£æã¡ã¯èµ·ããªã | (¬{AA} v ¬{AB}) | fact1: æãããšã¯çºçããªãããããã¯è£æã¡ãèµ·ããªã fact2: ããããããããšã¯èµ·ãããªãã第äžæ©ãçããªãããšããããšãã第äºç
§å®äžžãæ»ã£åãããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact3: ãããã²ããããšããããšã¯èµ·ããªããåæãèµ·ãããªãããšããããšã¯äºå®ãšç°ãªãã°ç¬¬äºç
§å®äžžãæ»ã£åãããšã¯çºçããªã fact4: æãããšã¯çãããè£æã¡ã¯èµ·ããªã fact5: æãããšãèµ·ããªãããããã¯è£æã¡ã¯çºçãã fact6: ããããããããšã¯èµ·ãããªããŠç¬¬äžæ©ã¯çºçããªãããšããããšã¯è±ã¯ãããããšããããšãèµ·ãããªããšããããšãæã fact7: ããè±ã¯ãããããšããããšãèµ·ãããªããªãã°æ¯ã
ãããšããããšã¯èµ·ãããªãã奥深ããšããããšã¯çããªã fact8: ãããããã«èãžãããšãèµ·ãããªãããããã¯ã¯ããã³ã°ã¯èµ·ãããªãããããã¯äž¡æ¹ã | fact1: (¬{AA} v ¬{AB}) fact2: ¬{E} -> (¬{D} & ¬{C}) fact3: ¬(¬{F} & ¬{G}) -> ¬{E} fact4: ({AA} v ¬{AB}) fact5: (¬{AA} v {AB}) fact6: (¬{D} & ¬{C}) -> ¬{B} fact7: ¬{B} -> (¬{HI} & ¬{A}) fact8: (¬{IM} v ¬{HM}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | æ¯ã
ãããšããããšãçããªãããããã¯æ±åäžæ¡åã«å¹²ãããšãçããªããäž¡æ¹ã | (¬{HI} v ¬{EA}) | [] | 9 | 1 | 0 | 7 | 0 | 7 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æãããšã¯çºçããªãããããã¯è£æã¡ãèµ·ããªã fact2: ããããããããšã¯èµ·ãããªãã第äžæ©ãçããªãããšããããšãã第äºç
§å®äžžãæ»ã£åãããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact3: ãããã²ããããšããããšã¯èµ·ããªããåæãèµ·ãããªãããšããããšã¯äºå®ãšç°ãªãã°ç¬¬äºç
§å®äžžãæ»ã£åãããšã¯çºçããªã fact4: æãããšã¯çãããè£æã¡ã¯èµ·ããªã fact5: æãããšãèµ·ããªãããããã¯è£æã¡ã¯çºçãã fact6: ããããããããšã¯èµ·ãããªããŠç¬¬äžæ©ã¯çºçããªãããšããããšã¯è±ã¯ãããããšããããšãèµ·ãããªããšããããšãæã fact7: ããè±ã¯ãããããšããããšãèµ·ãããªããªãã°æ¯ã
ãããšããããšã¯èµ·ãããªãã奥深ããšããããšã¯çããªã fact8: ãããããã«èãžãããšãèµ·ãããªãããããã¯ã¯ããã³ã°ã¯èµ·ãããªãããããã¯äž¡æ¹ã ; $hypothesis$ = æãããšã¯èµ·ãããªãããããã¯è£æã¡ã¯èµ·ããªã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{AA} v ¬{AB}) fact2: ¬{E} -> (¬{D} & ¬{C}) fact3: ¬(¬{F} & ¬{G}) -> ¬{E} fact4: ({AA} v ¬{AB}) fact5: (¬{AA} v {AB}) fact6: (¬{D} & ¬{C}) -> ¬{B} fact7: ¬{B} -> (¬{HI} & ¬{A}) fact8: (¬{IM} v ¬{HM}) ; $hypothesis$ = (¬{AA} v ¬{AB}) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãæ¯ãã ããèµ·ããªãããšããããšã誀ãã§ãªã | ¬{A} | fact1: ãæ¯ãã ããçºçãããäœå±±ã«ç延ã³ãããšãèµ·ããªãããšããããšã¯æ£ãã | fact1: ({A} & ¬{B}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãæ¯ãã ããçºçãããäœå±±ã«ç延ã³ãããšãèµ·ããªãããšããããšã¯æ£ãã ; $hypothesis$ = ãæ¯ãã ããèµ·ããªãããšããããšã誀ãã§ãªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & ¬{B}) ; $hypothesis$ = ¬{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã€ã¡ãŒãžã¯ã¡ããã¡ããã ãããããããæšããªãããšããããšã¯ééãã | ¬({AA}{a} & ¬{AB}{a}) | fact1: ãã®ã€ã¡ãŒãžã¯çãŸãããªã fact2: ãã®ãªããé©ã¯å¹ãæãããšããããšããªã fact3: ãããäœããé¿èæµ·ã ããããããã¯ãããŒãã¥ãããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ããã¯é¿èæµ·ã ãšããããšã¯ãªã fact4: ãããäœãã¯æ¢
æ¬ããå€ããªããŠäºå²¡ã ãšããããšããªãããšããããšãåœãªãã°ãããçãŸãããšããããšããªã fact5: ãããããã®ãå¹ãæããªããªãã°ããã¯å°ããããŠããã¯çãŸãã fact6: ãããã®ã€ã¡ãŒãžãé¿èæµ·ã ãšããããšã¯ãªããªãã°ããããæ¢
æ¬ããå€ãããäºå²¡ã ããšããããšãæãç«ã€ãšããããšã¯ãªã fact7: ãããã®ã€ã¡ãŒãžã¯çãŸãããªããªãã°ããã¯ã¡ããã¡ããã§ãããæšããªã fact8: ãããã®ãšã³ãã¬ã ã¯çãŸãããšããããšã¯ãªããªãã°ãããã®ã€ã¡ãŒãžã¯ã¡ããã¡ããã§æšããšããããšã¯ãªãããšããããšãäºå®ã ããšããããšã¯äºå®ãšç°ãªã fact9: ãããã®ã€ã¡ãŒãžã¯å³¶æ°ã«ããšããã°ããããé¿èæµ·ã ãããããããŒãã¥ãããªãããšããããšãééãã | fact1: ¬{A}{a} fact2: ¬{D}{is} fact3: (x): ¬({E}x & ¬{F}x) -> ¬{E}x fact4: (x): ¬(¬{C}x & ¬{B}x) -> ¬{A}x fact5: (x): ¬{D}x -> ({EI}x & {A}x) fact6: ¬{E}{a} -> ¬({C}{a} & {B}{a}) fact7: ¬{A}{a} -> ({AA}{a} & ¬{AB}{a}) fact8: ¬{A}{b} -> ¬({AA}{a} & ¬{AB}{a}) fact9: {G}{a} -> ¬({E}{a} & ¬{F}{a}) | [
"fact7 & fact1 -> hypothesis;"
] | [
"fact7 & fact1 -> hypothesis;"
] | ãã®ãªããé©ãå°ããããããã¯å¹³å£ã§ãªã | ({EI}{is} & ¬{DK}{is}) | [
"fact12 -> int1: ãããã®ãªããé©ã¯å¹ãæãããšããããšã¯ãªããªãã°ãããå°ãããããããçãŸãã; int1 & fact11 -> int2: ãã®ãªããé©ã¯å°ããããŠããã¯çãŸãã; int2 -> int3: ãã®ãªããé©ãå°ããã; fact14 -> int4: ããããã®ã€ã¡ãŒãžãé¿èæµ·ã ãããããããŒãã¥ãããªãããšããããšã¯åãªãã°ããããé¿èæµ·ã ãšããããšã¯ãªãããšããããšãäºå®ã ;"
] | 6 | 1 | 1 | 7 | 0 | 7 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã€ã¡ãŒãžã¯çãŸãããªã fact2: ãã®ãªããé©ã¯å¹ãæãããšããããšããªã fact3: ãããäœããé¿èæµ·ã ããããããã¯ãããŒãã¥ãããšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ããã¯é¿èæµ·ã ãšããããšã¯ãªã fact4: ãããäœãã¯æ¢
æ¬ããå€ããªããŠäºå²¡ã ãšããããšããªãããšããããšãåœãªãã°ãããçãŸãããšããããšããªã fact5: ãããããã®ãå¹ãæããªããªãã°ããã¯å°ããããŠããã¯çãŸãã fact6: ãããã®ã€ã¡ãŒãžãé¿èæµ·ã ãšããããšã¯ãªããªãã°ããããæ¢
æ¬ããå€ãããäºå²¡ã ããšããããšãæãç«ã€ãšããããšã¯ãªã fact7: ãããã®ã€ã¡ãŒãžã¯çãŸãããªããªãã°ããã¯ã¡ããã¡ããã§ãããæšããªã fact8: ãããã®ãšã³ãã¬ã ã¯çãŸãããšããããšã¯ãªããªãã°ãããã®ã€ã¡ãŒãžã¯ã¡ããã¡ããã§æšããšããããšã¯ãªãããšããããšãäºå®ã ããšããããšã¯äºå®ãšç°ãªã fact9: ãããã®ã€ã¡ãŒãžã¯å³¶æ°ã«ããšããã°ããããé¿èæµ·ã ãããããããŒãã¥ãããªãããšããããšãééãã ; $hypothesis$ = ããã®ã€ã¡ãŒãžã¯ã¡ããã¡ããã ãããããããæšããªãããšããããšã¯ééãã ; $proof$ = | fact7 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} fact2: ¬{D}{is} fact3: (x): ¬({E}x & ¬{F}x) -> ¬{E}x fact4: (x): ¬(¬{C}x & ¬{B}x) -> ¬{A}x fact5: (x): ¬{D}x -> ({EI}x & {A}x) fact6: ¬{E}{a} -> ¬({C}{a} & {B}{a}) fact7: ¬{A}{a} -> ({AA}{a} & ¬{AB}{a}) fact8: ¬{A}{b} -> ¬({AA}{a} & ¬{AB}{a}) fact9: {G}{a} -> ¬({E}{a} & ¬{F}{a}) ; $hypothesis$ = ¬({AA}{a} & ¬{AB}{a}) ; $proof$ = | fact7 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®å¡ãå®èœã ãšããããšããªã | ¬{A}{a} | fact1: ããäœããåãæã€ãããã¯éã©ããªããªãã°ããã®å¡ã¯å®èœã§ãªãããšããããšãæãç«ã€ fact2: ãã®å¡ã¯åãæã€ãšããããšããªã fact3: ãã®ããã¿ãŒãè²Žç« ã fact4: ãããã®é è±ã¯äžžå³ã«ãããã°ãã®äžã髪ã¯äžžå³ã«ããã fact5: ãããã®äžã髪ãã€ããããšããããšã¯ãªããŠæçŽã§ãªããªãã°ãã®å¡ã¯ãšããã€ãã fact6: ãã®çžè
ã¯å®èœã ãšããããšããªã fact7: ãããã®å€§ç©ºã¯äžžå³ã«ãããã°ãã®é è±ã¯äžžå³ã«ããã fact8: ãããã®ããã¿ãŒã¯ã²ã«ãããšããããšããªããå·®åºããŸãããšããããšã¯ãªããªãã°ãããã²ã«ãããªã fact9: ãããããã®ã¯ãšããã€ããã°ãããå®èœã fact10: ãåãæã€ãéã©ãããã®ã¯ãã fact11: äœãã¯åãæ〠fact12: ãã®å¡ãéã©ããšããããšã¯ãªã fact13: ãããããã®ã¯é足ã ãããã¯å®èœã§ãªããªãã°ããã®å¡ã¯åºå¡ã§ãªãããšããããšãçå®ã fact14: ãã®ããã¿ãŒãã²ã«ãããªãããããã¯ããã¯å·®åºããŸãããšããããšã¯ãªã fact15: å€ãé·ç²ãäžžå³ã«ããã fact16: ãçå¥ãç¥ãæž
ããããã¡ã¯ã°ã£ãããšããããšããªãããã®ããã fact17: ãããããã®ãäžžå³ã«ãããã°ãããã€ããããªããããã¯æçŽã ãšããããšã¯ãªã fact18: ããäœãã¯ã¡ãããã€ãªãã°ããã¯å€ãé·ç²ã fact19: ãããã®ã¯åãæã€ãéã©ããšããããšããªã fact20: ãéã©ããªãããã®ã¯ãã | fact1: (x): ({AA}x & ¬{AB}x) -> ¬{A}{a} fact2: ¬{AA}{a} fact3: {I}{e} fact4: {E}{c} -> {E}{b} fact5: (¬{D}{b} & ¬{C}{b}) -> {B}{a} fact6: ¬{A}{fh} fact7: {E}{d} -> {E}{c} fact8: (¬{H}{e} v ¬{K}{e}) -> ¬{H}{e} fact9: (x): {B}x -> {A}x fact10: (Ex): ({AA}x & {AB}x) fact11: (Ex): {AA}x fact12: ¬{AB}{a} fact13: (x): ({IE}x & ¬{A}x) -> ¬{GD}{a} fact14: (¬{H}{e} v ¬{K}{e}) fact15: (x): {F}x -> {E}x fact16: (Ex): ({FB}x & ¬{O}x) fact17: (x): {E}x -> (¬{D}x & ¬{C}x) fact18: (x): {G}x -> {F}x fact19: (Ex): ({AA}x & ¬{AB}x) fact20: (Ex): ¬{AB}x | [
"fact19 & fact1 -> hypothesis;"
] | [
"fact19 & fact1 -> hypothesis;"
] | ãã®å¡ãå®èœã | {A}{a} | [
"fact24 -> int1: ãããã®å¡ã¯ãšããã€ããã°ãããã¯å®èœã ããšããããšãæãç«ã€; fact30 -> int2: ãããã®äžã髪ã¯äžžå³ã«ãããã°ãããã€ããããªããã®ã§ãã£ãŠæçŽã ãšããããšããªããã®; fact26 -> int3: ãããã®å€§ç©ºã¯å€ãé·ç²ãªãã°ããã¯äžžå³ã«ããã; fact29 -> int4: ãããã®å€§ç©ºãã¡ãããã€ãªãã°ãããã¯å€ãé·ç²ã ããšããããšã¯çå®ã ; fact28 & fact22 -> int5: ãã®ããã¿ãŒã¯ã²ã«ãããšããããšã¯ãªã; int5 & fact27 -> int6: ãã®ããã¿ãŒãã²ã«ãããªããè²Žç« ã ; int6 -> int7: äœãã¯ã²ã«ãããªããè²Žç« ã ;"
] | 11 | 1 | 1 | 18 | 0 | 18 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããäœããåãæã€ãããã¯éã©ããªããªãã°ããã®å¡ã¯å®èœã§ãªãããšããããšãæãç«ã€ fact2: ãã®å¡ã¯åãæã€ãšããããšããªã fact3: ãã®ããã¿ãŒãè²Žç« ã fact4: ãããã®é è±ã¯äžžå³ã«ãããã°ãã®äžã髪ã¯äžžå³ã«ããã fact5: ãããã®äžã髪ãã€ããããšããããšã¯ãªããŠæçŽã§ãªããªãã°ãã®å¡ã¯ãšããã€ãã fact6: ãã®çžè
ã¯å®èœã ãšããããšããªã fact7: ãããã®å€§ç©ºã¯äžžå³ã«ãããã°ãã®é è±ã¯äžžå³ã«ããã fact8: ãããã®ããã¿ãŒã¯ã²ã«ãããšããããšããªããå·®åºããŸãããšããããšã¯ãªããªãã°ãããã²ã«ãããªã fact9: ãããããã®ã¯ãšããã€ããã°ãããå®èœã fact10: ãåãæã€ãéã©ãããã®ã¯ãã fact11: äœãã¯åãæ〠fact12: ãã®å¡ãéã©ããšããããšã¯ãªã fact13: ãããããã®ã¯é足ã ãããã¯å®èœã§ãªããªãã°ããã®å¡ã¯åºå¡ã§ãªãããšããããšãçå®ã fact14: ãã®ããã¿ãŒãã²ã«ãããªãããããã¯ããã¯å·®åºããŸãããšããããšã¯ãªã fact15: å€ãé·ç²ãäžžå³ã«ããã fact16: ãçå¥ãç¥ãæž
ããããã¡ã¯ã°ã£ãããšããããšããªãããã®ããã fact17: ãããããã®ãäžžå³ã«ãããã°ãããã€ããããªããããã¯æçŽã ãšããããšã¯ãªã fact18: ããäœãã¯ã¡ãããã€ãªãã°ããã¯å€ãé·ç²ã fact19: ãããã®ã¯åãæã€ãéã©ããšããããšããªã fact20: ãéã©ããªãããã®ã¯ãã ; $hypothesis$ = ãã®å¡ãå®èœã ãšããããšããªã ; $proof$ = | fact19 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({AA}x & ¬{AB}x) -> ¬{A}{a} fact2: ¬{AA}{a} fact3: {I}{e} fact4: {E}{c} -> {E}{b} fact5: (¬{D}{b} & ¬{C}{b}) -> {B}{a} fact6: ¬{A}{fh} fact7: {E}{d} -> {E}{c} fact8: (¬{H}{e} v ¬{K}{e}) -> ¬{H}{e} fact9: (x): {B}x -> {A}x fact10: (Ex): ({AA}x & {AB}x) fact11: (Ex): {AA}x fact12: ¬{AB}{a} fact13: (x): ({IE}x & ¬{A}x) -> ¬{GD}{a} fact14: (¬{H}{e} v ¬{K}{e}) fact15: (x): {F}x -> {E}x fact16: (Ex): ({FB}x & ¬{O}x) fact17: (x): {E}x -> (¬{D}x & ¬{C}x) fact18: (x): {G}x -> {F}x fact19: (Ex): ({AA}x & ¬{AB}x) fact20: (Ex): ¬{AB}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact19 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããããããšããããšãçããããšããããšãäºå®ã | {A} | fact1: ããããçããšããããšã¯çããããããããšããããšã¯çããªãããšããããšã¯åœã ããšããããšãäºå®ãšç°ãªããšããããšããªããªãã°çããšããããšã¯èµ·ãããªã fact2: ãæ¯ã©ããããšããããšãèµ·ããªããèé£ããšããããšã¯çºçããããšããããšã¯ãããããšããããšãçãããšããããšãå¶æ¢ãã fact3: ãããã®ãã®ãããšããããšãçããã°æ¯ã©ããããšããããšã¯èµ·ããªããèé£ããšããããšã¯èµ·ãã fact4: ããããŠã§ãã£ã³ã°ã¯èµ·ããªãããšããããšã¯åœãªãã°ã人ç䌌ãçããªããŠæ¥çãèµ·ããªãããšããããšã¯åœã fact5: é®æ«ãçºçããªããšããããšããéããšããããšãçºçãããæ²ã
ãããšããããšãçºçããããšããããšããããã fact6: ãå·ã£ãããšããããšã¯çºçããªãããšããããšãçããšããããšã¯çããªããšããããšãåå ã fact7: ãã©ããã©ãããšããããšãçããªããšããããšããããã¯ããããããããšãèµ·ãããšããããšããããã¯äž¡æ¹ã¯ãé®æ«ã¯çããããšããããšãé²ã fact8: ããéããšããããšãèµ·ããã°éçšãçãããéæã¯èµ·ãããªã fact9: ããå¿æŽãçºçããªããªãã°èœæ°Žã«åããããšã¯çºçããã麻ééŠãæ®ããããšã¯èµ·ãã fact10: ãããéã«åãã¯çºçããªããç
©ããšããããšãèµ·ãããªãããšããããšã¯åœãªãã°å·®ãè¶ãããšãçºçããªã fact11: ãããäžæ©ã§ã¯ãªãå¿æŽãçããããšããããšã¯æãç«ã€ãšããããšããªããªãã°å¿æŽã¯èµ·ããªã fact12: ãããããšããããšãçºçãããèé£ããšããããšãèµ·ãã fact13: ãããããããšããããšãçããã°ããäžæ©ã§ã¯ãªãå¿æŽãçããããšããããšã¯èª€ãã ããšããããšã¯æ£ãã fact14: ãããèœæ°Žã«åããããšã¯èµ·ããããšããããšãæ£ãããªãã°ãéã«åããçºçããªããç
©ããšããããšãèµ·ãããªãããšããããšãæãç«ã€ãšããããšã¯ãªã fact15: ããã©ããã©ãããšããããšãèµ·ãããªãããšããããšãããããããããšã¯èµ·ãããšããããšããããã¯äž¡æ¹ã¯å·ã£ãããšããããšã¯èµ·ãããªããšããããšã«ç±æ¥ãã fact16: ããç墚ãèªãããããšã¯èµ·ãããªããªãã°ãã®ãã®ãããšããããšãšäžæ¡åãå£ã«æ£ãããããšãçãã fact17: ããã人ç䌌ãèµ·ãããªããŠæ¥çãèµ·ãããªãããšããããšã¯èª€ããªãã°ãããããšããããšãèµ·ãã fact18: ããŠã§ãã£ã³ã°ãçºçããªãããšããããšããéçšãçãããéæã¯çºçããªãããšããããšã«é²ããã fact19: ãããå·®ãè¶ãããšãèµ·ããªããããšããããšããããšã¯èµ·ããããããã¯äž¡æ¹ãªãã°ãç墚ãèªãããããšãèµ·ãããªãããšããããšãçå®ã ããšããããšã¯çå®ã | fact1: ¬({AF} & ¬{AG}) -> ¬{AF} fact2: (¬{C} & {B}) -> ¬{A} fact3: {D} -> (¬{C} & {B}) fact4: {R} -> ¬(¬{P} & ¬{Q}) fact5: ¬{AB} -> ({U} & {AA}) fact6: ¬{AF} -> ¬{AE} fact7: (¬{AC} v {AD}) -> ¬{AB} fact8: {U} -> ({S} & ¬{T}) fact9: ¬{M} -> ({K} & {L}) fact10: ¬(¬{I} & ¬{J}) -> ¬{H} fact11: ¬(¬{O} & {M}) -> ¬{M} fact12: ({A} & {B}) fact13: {N} -> ¬(¬{O} & {M}) fact14: {K} -> ¬(¬{I} & ¬{J}) fact15: ¬{AE} -> (¬{AC} v {AD}) fact16: ¬{F} -> ({D} & {E}) fact17: ¬(¬{P} & ¬{Q}) -> {N} fact18: ({S} & ¬{T}) -> {R} fact19: (¬{H} v {G}) -> ¬{F} | [
"fact12 -> hypothesis;"
] | [
"fact12 -> hypothesis;"
] | ãããããšããããšãèµ·ãããªã | ¬{A} | [] | 23 | 1 | 1 | 18 | 0 | 18 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããçããšããããšã¯çããããããããšããããšã¯çããªãããšããããšã¯åœã ããšããããšãäºå®ãšç°ãªããšããããšããªããªãã°çããšããããšã¯èµ·ãããªã fact2: ãæ¯ã©ããããšããããšãèµ·ããªããèé£ããšããããšã¯çºçããããšããããšã¯ãããããšããããšãçãããšããããšãå¶æ¢ãã fact3: ãããã®ãã®ãããšããããšãçããã°æ¯ã©ããããšããããšã¯èµ·ããªããèé£ããšããããšã¯èµ·ãã fact4: ããããŠã§ãã£ã³ã°ã¯èµ·ããªãããšããããšã¯åœãªãã°ã人ç䌌ãçããªããŠæ¥çãèµ·ããªãããšããããšã¯åœã fact5: é®æ«ãçºçããªããšããããšããéããšããããšãçºçãããæ²ã
ãããšããããšãçºçããããšããããšããããã fact6: ãå·ã£ãããšããããšã¯çºçããªãããšããããšãçããšããããšã¯çããªããšããããšãåå ã fact7: ãã©ããã©ãããšããããšãçããªããšããããšããããã¯ããããããããšãèµ·ãããšããããšããããã¯äž¡æ¹ã¯ãé®æ«ã¯çããããšããããšãé²ã fact8: ããéããšããããšãèµ·ããã°éçšãçãããéæã¯èµ·ãããªã fact9: ããå¿æŽãçºçããªããªãã°èœæ°Žã«åããããšã¯çºçããã麻ééŠãæ®ããããšã¯èµ·ãã fact10: ãããéã«åãã¯çºçããªããç
©ããšããããšãèµ·ãããªãããšããããšã¯åœãªãã°å·®ãè¶ãããšãçºçããªã fact11: ãããäžæ©ã§ã¯ãªãå¿æŽãçããããšããããšã¯æãç«ã€ãšããããšããªããªãã°å¿æŽã¯èµ·ããªã fact12: ãããããšããããšãçºçãããèé£ããšããããšãèµ·ãã fact13: ãããããããšããããšãçããã°ããäžæ©ã§ã¯ãªãå¿æŽãçããããšããããšã¯èª€ãã ããšããããšã¯æ£ãã fact14: ãããèœæ°Žã«åããããšã¯èµ·ããããšããããšãæ£ãããªãã°ãéã«åããçºçããªããç
©ããšããããšãèµ·ãããªãããšããããšãæãç«ã€ãšããããšã¯ãªã fact15: ããã©ããã©ãããšããããšãèµ·ãããªãããšããããšãããããããããšã¯èµ·ãããšããããšããããã¯äž¡æ¹ã¯å·ã£ãããšããããšã¯èµ·ãããªããšããããšã«ç±æ¥ãã fact16: ããç墚ãèªãããããšã¯èµ·ãããªããªãã°ãã®ãã®ãããšããããšãšäžæ¡åãå£ã«æ£ãããããšãçãã fact17: ããã人ç䌌ãèµ·ãããªããŠæ¥çãèµ·ãããªãããšããããšã¯èª€ããªãã°ãããããšããããšãèµ·ãã fact18: ããŠã§ãã£ã³ã°ãçºçããªãããšããããšããéçšãçãããéæã¯çºçããªãããšããããšã«é²ããã fact19: ãããå·®ãè¶ãããšãèµ·ããªããããšããããšããããšã¯èµ·ããããããã¯äž¡æ¹ãªãã°ãç墚ãèªãããããšãèµ·ãããªãããšããããšãçå®ã ããšããããšã¯çå®ã ; $hypothesis$ = ããããããšããããšãçããããšããããšãäºå®ã ; $proof$ = | fact12 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({AF} & ¬{AG}) -> ¬{AF} fact2: (¬{C} & {B}) -> ¬{A} fact3: {D} -> (¬{C} & {B}) fact4: {R} -> ¬(¬{P} & ¬{Q}) fact5: ¬{AB} -> ({U} & {AA}) fact6: ¬{AF} -> ¬{AE} fact7: (¬{AC} v {AD}) -> ¬{AB} fact8: {U} -> ({S} & ¬{T}) fact9: ¬{M} -> ({K} & {L}) fact10: ¬(¬{I} & ¬{J}) -> ¬{H} fact11: ¬(¬{O} & {M}) -> ¬{M} fact12: ({A} & {B}) fact13: {N} -> ¬(¬{O} & {M}) fact14: {K} -> ¬(¬{I} & ¬{J}) fact15: ¬{AE} -> (¬{AC} v {AD}) fact16: ¬{F} -> ({D} & {E}) fact17: ¬(¬{P} & ¬{Q}) -> {N} fact18: ({S} & ¬{T}) -> {R} fact19: (¬{H} v {G}) -> ¬{F} ; $hypothesis$ = {A} ; $proof$ = | fact12 -> hypothesis; __PROVED__ |
0.3 | ããã亀é¿ã ãšããããšã¯ãªããªãã°ãå¯å±±å»ç§è¬ç§å€§åŠã ãšããããšããªãããããæ€æ ¹ã ããšããããšãäºå®ãšç°ãªãããã®ã¯ãã | (Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x) | fact1: ãããã®æãããã亀é¿ãªãã°ããããå¯å±±å»ç§è¬ç§å€§åŠã ãšããããšã¯ãªãããããæ€æ ¹ã ããšããããšã¯èª€ãã fact2: ãããã®æãããã亀é¿ã§ãªããªãã°ããããå¯å±±å»ç§è¬ç§å€§åŠã ãšããããšããªãããããæ€æ ¹ã ããšããããšãåœã | fact1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) fact2: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã®æãããã亀é¿ãªãã°ããããå¯å±±å»ç§è¬ç§å€§åŠã ãšããããšã¯ãªãããããæ€æ ¹ã ããšããããšã¯èª€ãã fact2: ãããã®æãããã亀é¿ã§ãªããªãã°ããããå¯å±±å»ç§è¬ç§å€§åŠã ãšããããšããªãããããæ€æ ¹ã ããšããããšãåœã ; $hypothesis$ = ããã亀é¿ã ãšããããšã¯ãªããªãã°ãå¯å±±å»ç§è¬ç§å€§åŠã ãšããããšããªãããããæ€æ ¹ã ããšããããšãäºå®ãšç°ãªãããã®ã¯ãã ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) fact2: ¬{A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = (Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x) ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ãã©ã¬ãŒã¯èµ·ããããšããããšãæãç«ã€ | {A} | fact1: ãæµããçºçãã fact2: ã©ã¬ãŒãšãæµãã¯èµ·ãã | fact1: {B} fact2: ({A} & {B}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãæµããçºçãã fact2: ã©ã¬ãŒãšãæµãã¯èµ·ãã ; $hypothesis$ = ãã©ã¬ãŒã¯èµ·ããããšããããšãæãç«ã€ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) ; $hypothesis$ = {A} ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ããããã®åäžå¿ãåºãããªãã°ããã®åäžå¿ãåå®å®ãåºãããšããããšã¯ãªãã倩å¿è¥¿æ¡ã«ãããããŸããšããããšã¯ãªãããšããããšãééãã ããšããããšãåœã | ¬({A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa})) | fact1: ãããã®ãã«ã¡ã³ããããããªãã°ããããåºããã ãšããããšããªããçŠè¡ã§ãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããäœãã¯åºãããªãã°ãããã¯åå®å®ãåºãããããã倩å¿è¥¿æ¡ã«ãããããŸããšããããšã¯ãªãããšããããšãæãç«ããªã fact3: ããäœããåºãããªãã°ããããåå®å®ãåºãããšããããšããªãã倩å¿è¥¿æ¡ã«ãããããŸããšããããšããªãããšããããšãåœã fact4: ããäœããç§ä¿ãªãã°ãããã¯ããããããªããããããšããããšããªãããšããããšã¯ééãã fact5: ãããã®åäžå¿ãåºãããªãã°ããããåå®å®ãåºããªããããã倩å¿è¥¿æ¡ã«ãããããŸãããšããããšãåœã fact6: åºãããåå®å®ãåºãããšããããšã¯ãªãã倩å¿è¥¿æ¡ã«ãããããŸããšããããšããªã fact7: ãããããã®ãèãªãã°ãããã¯ææžã«æ¯è¡ããªããŠããããããããªãããšããããšãæãç«ã€ãšããããšããªã fact8: ãããã®ãã¡ãŽããã¯å€ªç§ŠåŸ¡æãå
ãªãã°ãããã¯æ¥æ¬¡ã«æãèµ·ããããšããããšã¯ãªããŠããã¯å®å®®ã§ãªãããšããããšãæãç«ã€ãšããããšã¯ãªã fact9: ããäœãã¯è³éã«ç¬ããããã°ããããåç©ã ãšããããšã¯ãªãããããé«åº§å°ãæ±èŸŒãŸãªãããšããããšãæãç«ããªã fact10: ãããããã®ã¯å®¶è³ãªãã°ããããè¥¿ç¬ å±±ãé§ããªããããã¯æãããªãããšããããšã¯æãç«ããªã fact11: ããäœããæãããªãã°ãããããšãŒãããšããããšã¯ãªãããããå¿äœããããªãããšããããšãåã fact12: ãããã®åäžå¿ã¯åºãããªãã°ããã¯åå®å®ãåºããªããããã¯å€©å¿è¥¿æ¡ã«ãããããŸããªã fact13: ãããã®åäžå¿ãæµå¯ºæåãªãã°ããããäžæµ·èã§ãªããŠããã倩å¿è¥¿æ¡ã«ãããããŸããšããããšããªãããšããããšãåœã fact14: ãããããã®ãåºãããªãã°ãããã¯åå®å®ãåºããªããããã¯å€©å¿è¥¿æ¡ã«ãããããŸãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact15: ãããã®åäžå¿ã¯åºãããªãã°ãããã¯åå®å®ãåºãããããã倩å¿è¥¿æ¡ã«ãããããŸããªãããšããããšã¯äºå®ãšç°ãªã fact16: ããããã®çšè¶³ãã¯å€ªç§ŠåŸ¡æãå
ã ããšããããšã¯æãç«ãŠã°ããããåºããã§ãªãããããæ°è¿ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã fact17: ããäœãã¯é·éãããªãã°ããããå磯岬ã ãšããããšã¯ãªãããŸã£ããããšããããšããªãããšããããšã¯åœã | fact1: {J}{hm} -> ¬(¬{A}{hm} & ¬{CT}{hm}) fact2: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact3: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) fact4: (x): {EH}x -> ¬(¬{BK}x & ¬{CJ}x) fact5: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) fact6: (x): {A}x -> (¬{AA}x & ¬{AB}x) fact7: (x): {GH}x -> ¬(¬{GF}x & ¬{J}x) fact8: {HU}{cm} -> ¬(¬{DO}{cm} & ¬{IH}{cm}) fact9: (x): {DE}x -> ¬(¬{FN}x & ¬{CC}x) fact10: (x): {IS}x -> ¬(¬{BH}x & ¬{DL}x) fact11: (x): {DL}x -> ¬(¬{FM}x & ¬{EE}x) fact12: {A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}) fact13: {P}{aa} -> ¬(¬{CO}{aa} & ¬{AB}{aa}) fact14: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact15: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) fact16: {HU}{fc} -> ¬(¬{A}{fc} & ¬{FE}{fc}) fact17: (x): {JH}x -> ¬(¬{CF}x & ¬{B}x) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 16 | 0 | 16 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ãã«ã¡ã³ããããããªãã°ããããåºããã ãšããããšããªããçŠè¡ã§ãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããäœãã¯åºãããªãã°ãããã¯åå®å®ãåºãããããã倩å¿è¥¿æ¡ã«ãããããŸããšããããšã¯ãªãããšããããšãæãç«ããªã fact3: ããäœããåºãããªãã°ããããåå®å®ãåºãããšããããšããªãã倩å¿è¥¿æ¡ã«ãããããŸããšããããšããªãããšããããšãåœã fact4: ããäœããç§ä¿ãªãã°ãããã¯ããããããªããããããšããããšããªãããšããããšã¯ééãã fact5: ãããã®åäžå¿ãåºãããªãã°ããããåå®å®ãåºããªããããã倩å¿è¥¿æ¡ã«ãããããŸãããšããããšãåœã fact6: åºãããåå®å®ãåºãããšããããšã¯ãªãã倩å¿è¥¿æ¡ã«ãããããŸããšããããšããªã fact7: ãããããã®ãèãªãã°ãããã¯ææžã«æ¯è¡ããªããŠããããããããªãããšããããšãæãç«ã€ãšããããšããªã fact8: ãããã®ãã¡ãŽããã¯å€ªç§ŠåŸ¡æãå
ãªãã°ãããã¯æ¥æ¬¡ã«æãèµ·ããããšããããšã¯ãªããŠããã¯å®å®®ã§ãªãããšããããšãæãç«ã€ãšããããšã¯ãªã fact9: ããäœãã¯è³éã«ç¬ããããã°ããããåç©ã ãšããããšã¯ãªãããããé«åº§å°ãæ±èŸŒãŸãªãããšããããšãæãç«ããªã fact10: ãããããã®ã¯å®¶è³ãªãã°ããããè¥¿ç¬ å±±ãé§ããªããããã¯æãããªãããšããããšã¯æãç«ããªã fact11: ããäœããæãããªãã°ãããããšãŒãããšããããšã¯ãªãããããå¿äœããããªãããšããããšãåã fact12: ãããã®åäžå¿ã¯åºãããªãã°ããã¯åå®å®ãåºããªããããã¯å€©å¿è¥¿æ¡ã«ãããããŸããªã fact13: ãããã®åäžå¿ãæµå¯ºæåãªãã°ããããäžæµ·èã§ãªããŠããã倩å¿è¥¿æ¡ã«ãããããŸããšããããšããªãããšããããšãåœã fact14: ãããããã®ãåºãããªãã°ãããã¯åå®å®ãåºããªããããã¯å€©å¿è¥¿æ¡ã«ãããããŸãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact15: ãããã®åäžå¿ã¯åºãããªãã°ãããã¯åå®å®ãåºãããããã倩å¿è¥¿æ¡ã«ãããããŸããªãããšããããšã¯äºå®ãšç°ãªã fact16: ããããã®çšè¶³ãã¯å€ªç§ŠåŸ¡æãå
ã ããšããããšã¯æãç«ãŠã°ããããåºããã§ãªãããããæ°è¿ããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªã fact17: ããäœãã¯é·éãããªãã°ããããå磯岬ã ãšããããšã¯ãªãããŸã£ããããšããããšããªãããšããããšã¯åœã ; $hypothesis$ = ããããã®åäžå¿ãåºãããªãã°ããã®åäžå¿ãåå®å®ãåºãããšããããšã¯ãªãã倩å¿è¥¿æ¡ã«ãããããŸããšããããšã¯ãªãããšããããšãééãã ããšããããšãåœã ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {J}{hm} -> ¬(¬{A}{hm} & ¬{CT}{hm}) fact2: (x): {A}x -> ¬({AA}x & ¬{AB}x) fact3: (x): {A}x -> ¬(¬{AA}x & ¬{AB}x) fact4: (x): {EH}x -> ¬(¬{BK}x & ¬{CJ}x) fact5: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) fact6: (x): {A}x -> (¬{AA}x & ¬{AB}x) fact7: (x): {GH}x -> ¬(¬{GF}x & ¬{J}x) fact8: {HU}{cm} -> ¬(¬{DO}{cm} & ¬{IH}{cm}) fact9: (x): {DE}x -> ¬(¬{FN}x & ¬{CC}x) fact10: (x): {IS}x -> ¬(¬{BH}x & ¬{DL}x) fact11: (x): {DL}x -> ¬(¬{FM}x & ¬{EE}x) fact12: {A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}) fact13: {P}{aa} -> ¬(¬{CO}{aa} & ¬{AB}{aa}) fact14: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact15: {A}{aa} -> ¬({AA}{aa} & ¬{AB}{aa}) fact16: {HU}{fc} -> ¬(¬{A}{fc} & ¬{FE}{fc}) fact17: (x): {JH}x -> ¬(¬{CF}x & ¬{B}x) ; $hypothesis$ = ¬({A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa})) ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ |
0.3 | éãããšã¯çãã | {B} | fact1: å°è±¡æ·±ããšããããšãçããªããççœããšããããšãçããªã fact2: ããŒãã¯èµ·ããªããéãããšãçºçããããšããããšã¯ããã¡ãããšããããšãçããªãããšããããšã«ããçºçãã fact3: ã鬌ç«ã«é¡ããããšãšããããããšããããšãçºçããããšããããšã¯è¶³é³ãèµ·ãããªããšããããšã«èµ·å ãã fact4: ãé§ä»ããããšãçããããšããããšããããã¯ãããããšããããšãçããªããšããããšããããã¯äž¡æ¹ãå°å·åã«åºç«ã€ããšãèµ·ãããšããããšãåå ã fact5: ããäžçç¬ãã²ãããªãããããšãèµ·ãããªããªãã°ããããŸãããããšãšã²ãšç®ãçºçããããšããããšã¯èª€ãã fact6: ãããåæ¶ã¯èµ·ãããªããªãã°ãåäžåäžæ¡è¥¿ããŸã€ããã€ãããšãçºçããªãããããã¯ããŒã«ãèµ·ãããªãããããã¯äž¡æ¹ã ããšããããšãäºå®ã§ãªãããšããããšã¯æ£ãã fact7: ãããããšããããšã¯çãããæå¿ã¯çºçããããšããããšããã²ãšç®ãèµ·ãããªãããšããããšã«èªçºããã fact8: ã©ãããããšããããšã¯èµ·ãããšããããšããããããããšããããšã¯çãããå°è±¡æ·±ããšããããšãçããªãããšããããšã«ç±æ¥ãã fact9: ããã©ãããããšããããšãšæå¿ã¯èµ·ããã°ãã¡ãããšããããšã¯èµ·ããªã fact10: ãé§ä»ããããšãèµ·ããããããããšããããšã¯èµ·ããªãããããã¯äž¡æ¹ã ããšããããšããåæ¶ãèµ·ãããªãããšããããšããããã fact11: ãããããããŸãããããšãšã²ãšç®ãçºçããããšããããšãåã ããšããããšã¯æ¬åœãªãã°ãã²ãšç®ãèµ·ãããªãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã fact12: ãŒããèµ·ãããšããããšã¯ãéãããšãçããããšããããšã®ãã£ãããšãªã fact13: ãããåäžåäžæ¡è¥¿ããŸã€ããã€ãããšãçºçããªããããŒã«ã¯çºçããªãããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ãšããããšããªããªãã°äžçç¬ãã²ãããªãããããšã¯èµ·ãããªã fact14: ãŒãã¯èµ·ãã fact15: ããŒããèµ·ãããªãããšããããšããæŠåãããšã¯çºçããããšããããšãèªçºãã fact16: ã足é³ã¯èµ·ãããªãããšããããšãæãç«ã€ | fact1: (¬{G} & ¬{Q}) fact2: ¬{C} -> (¬{A} & {B}) fact3: ¬{U} -> ({R} & {H}) fact4: {S} -> ({O} v ¬{P}) fact5: ¬{J} -> ¬({K} & {I}) fact6: ¬{N} -> ¬(¬{L} v ¬{M}) fact7: ¬{I} -> ({F} & {D}) fact8: ({H} & ¬{G}) -> {E} fact9: ({E} & {D}) -> ¬{C} fact10: ({O} v ¬{P}) -> ¬{N} fact11: ¬({K} & {I}) -> ¬{I} fact12: {A} -> {B} fact13: ¬(¬{L} v ¬{M}) -> ¬{J} fact14: {A} fact15: ¬{A} -> {DK} fact16: ¬{U} | [
"fact12 & fact14 -> hypothesis;"
] | [
"fact12 & fact14 -> hypothesis;"
] | ãæŠåãããšãçããããšããããšãæãç«ã€ | {DK} | [
"fact26 & fact27 -> int1: 鬌ç«ã«é¡ããããšãšããããããšããããšãçºçãã; int1 -> int2: ããããããšããããšã¯èµ·ãã; fact28 -> int3: å°è±¡æ·±ããšããããšãçºçããªã; int2 & int3 -> int4: ããããããšããããšã¯çºçããããããå°è±¡æ·±ããšããããšã¯èµ·ãããªã; fact18 & int4 -> int5: ã©ãããããšããããšã¯çãã;"
] | 14 | 1 | 1 | 14 | 0 | 14 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å°è±¡æ·±ããšããããšãçããªããççœããšããããšãçããªã fact2: ããŒãã¯èµ·ããªããéãããšãçºçããããšããããšã¯ããã¡ãããšããããšãçããªãããšããããšã«ããçºçãã fact3: ã鬌ç«ã«é¡ããããšãšããããããšããããšãçºçããããšããããšã¯è¶³é³ãèµ·ãããªããšããããšã«èµ·å ãã fact4: ãé§ä»ããããšãçããããšããããšããããã¯ãããããšããããšãçããªããšããããšããããã¯äž¡æ¹ãå°å·åã«åºç«ã€ããšãèµ·ãããšããããšãåå ã fact5: ããäžçç¬ãã²ãããªãããããšãèµ·ãããªããªãã°ããããŸãããããšãšã²ãšç®ãçºçããããšããããšã¯èª€ãã fact6: ãããåæ¶ã¯èµ·ãããªããªãã°ãåäžåäžæ¡è¥¿ããŸã€ããã€ãããšãçºçããªãããããã¯ããŒã«ãèµ·ãããªãããããã¯äž¡æ¹ã ããšããããšãäºå®ã§ãªãããšããããšã¯æ£ãã fact7: ãããããšããããšã¯çãããæå¿ã¯çºçããããšããããšããã²ãšç®ãèµ·ãããªãããšããããšã«èªçºããã fact8: ã©ãããããšããããšã¯èµ·ãããšããããšããããããããšããããšã¯çãããå°è±¡æ·±ããšããããšãçããªãããšããããšã«ç±æ¥ãã fact9: ããã©ãããããšããããšãšæå¿ã¯èµ·ããã°ãã¡ãããšããããšã¯èµ·ããªã fact10: ãé§ä»ããããšãèµ·ããããããããšããããšã¯èµ·ããªãããããã¯äž¡æ¹ã ããšããããšããåæ¶ãèµ·ãããªãããšããããšããããã fact11: ãããããããŸãããããšãšã²ãšç®ãçºçããããšããããšãåã ããšããããšã¯æ¬åœãªãã°ãã²ãšç®ãèµ·ãããªãããšããããšã¯äºå®ãšç°ãªããšããããšã¯ãªã fact12: ãŒããèµ·ãããšããããšã¯ãéãããšãçããããšããããšã®ãã£ãããšãªã fact13: ãããåäžåäžæ¡è¥¿ããŸã€ããã€ãããšãçºçããªããããŒã«ã¯çºçããªãããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ãšããããšããªããªãã°äžçç¬ãã²ãããªãããããšã¯èµ·ãããªã fact14: ãŒãã¯èµ·ãã fact15: ããŒããèµ·ãããªãããšããããšããæŠåãããšã¯çºçããããšããããšãèªçºãã fact16: ã足é³ã¯èµ·ãããªãããšããããšãæãç«ã€ ; $hypothesis$ = éãããšã¯çãã ; $proof$ = | fact12 & fact14 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{G} & ¬{Q}) fact2: ¬{C} -> (¬{A} & {B}) fact3: ¬{U} -> ({R} & {H}) fact4: {S} -> ({O} v ¬{P}) fact5: ¬{J} -> ¬({K} & {I}) fact6: ¬{N} -> ¬(¬{L} v ¬{M}) fact7: ¬{I} -> ({F} & {D}) fact8: ({H} & ¬{G}) -> {E} fact9: ({E} & {D}) -> ¬{C} fact10: ({O} v ¬{P}) -> ¬{N} fact11: ¬({K} & {I}) -> ¬{I} fact12: {A} -> {B} fact13: ¬(¬{L} v ¬{M}) -> ¬{J} fact14: {A} fact15: ¬{A} -> {DK} fact16: ¬{U} ; $hypothesis$ = {B} ; $proof$ = | fact12 & fact14 -> hypothesis; __PROVED__ |
0.3 | ãã®èãç¿å·åãçã¿åºãã | {B}{b} | fact1: æ¹æ±ãç¿å·åãçã¿åºãã fact2: ãããããã®ãç¿å·åãçã¿åºããã°ããã¯å¬ç¶ã ãšããããšããªã fact3: ãããã®æ¹¯ç
ã¯ç¿å·åãçã¿åºããªããªãã°ãã®èãå¬ç¶ã ãšããããšã¯ãªã fact4: ãã®æ¹¯ç
ãå¬ç¶ã ãšããããšããªã fact5: ããããã®æ¹¯ç
ãå¬ç¶ã ãšããããšããªãããšããããšãäºå®ãªãã°ãã®èãç¿å·åãçã¿åºãããšããããšããªã | fact1: (x): {C}x -> {B}x fact2: (x): {B}x -> ¬{A}x fact3: ¬{B}{a} -> ¬{A}{b} fact4: ¬{A}{a} fact5: ¬{A}{a} -> ¬{B}{b} | [
"fact5 & fact4 -> hypothesis;"
] | [
"fact5 & fact4 -> hypothesis;"
] | ããã®ãæ¯ãããå¬ç¶ã§ãªãããšããããšãæãç«ã€ | ¬{A}{dg} | [
"fact7 -> int1: ãããã®ãæ¯ããã¯ç¿å·åãçã¿åºããã°ãããã¯å¬ç¶ã ãšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããšããããšããªã; fact6 -> int2: ãããã®ãæ¯ããã¯æ¹æ±ãªãã°ããã¯ç¿å·åãçã¿åºãã;"
] | 5 | 1 | 1 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æ¹æ±ãç¿å·åãçã¿åºãã fact2: ãããããã®ãç¿å·åãçã¿åºããã°ããã¯å¬ç¶ã ãšããããšããªã fact3: ãããã®æ¹¯ç
ã¯ç¿å·åãçã¿åºããªããªãã°ãã®èãå¬ç¶ã ãšããããšã¯ãªã fact4: ãã®æ¹¯ç
ãå¬ç¶ã ãšããããšããªã fact5: ããããã®æ¹¯ç
ãå¬ç¶ã ãšããããšããªãããšããããšãäºå®ãªãã°ãã®èãç¿å·åãçã¿åºãããšããããšããªã ; $hypothesis$ = ãã®èãç¿å·åãçã¿åºãã ; $proof$ = | fact5 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {C}x -> {B}x fact2: (x): {B}x -> ¬{A}x fact3: ¬{B}{a} -> ¬{A}{b} fact4: ¬{A}{a} fact5: ¬{A}{a} -> ¬{B}{b} ; $hypothesis$ = {B}{b} ; $proof$ = | fact5 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®é¢šæŽã¯äºã | {B}{a} | fact1: ããã®é¢šæŽãçŒãèœã¡ããšããããšããªãããšããããšã¯çå®ã fact2: ãããã®é¢šæŽã¯èžã¿æ¿ãããã®ãŒããªãããããããã¯ç©ºã
ãããªãã°ããã¯äºã fact3: ãã®é¢šæŽã¯èžã¿æ¿ãããã®ãŒããšããããšããªããŠç©ºã
ãããšããããšã¯ãªã fact4: ãã®å€ªéŒãèžã¿æ¿ãããã®ãŒã fact5: ãããã®é¢šæŽã¯å€©ç©ºãçµæ¿ãããååå®ã ãšããããšããªããªãã°ããã¯ãããã¥ãã | fact1: ¬{FA}{a} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{a} fact3: (¬{AA}{a} & ¬{AB}{a}) fact4: {AA}{is} fact5: ({BL}{a} & ¬{GK}{a}) -> {HM}{a} | [] | [] | null | null | [] | null | 1 | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®é¢šæŽãçŒãèœã¡ããšããããšããªãããšããããšã¯çå®ã fact2: ãããã®é¢šæŽã¯èžã¿æ¿ãããã®ãŒããªãããããããã¯ç©ºã
ãããªãã°ããã¯äºã fact3: ãã®é¢šæŽã¯èžã¿æ¿ãããã®ãŒããšããããšããªããŠç©ºã
ãããšããããšã¯ãªã fact4: ãã®å€ªéŒãèžã¿æ¿ãããã®ãŒã fact5: ãããã®é¢šæŽã¯å€©ç©ºãçµæ¿ãããååå®ã ãšããããšããªããªãã°ããã¯ãããã¥ãã ; $hypothesis$ = ãã®é¢šæŽã¯äºã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{FA}{a} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{a} fact3: (¬{AA}{a} & ¬{AB}{a}) fact4: {AA}{is} fact5: ({BL}{a} & ¬{GK}{a}) -> {HM}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®äžé©åã¯æ²³å£æ¹ç·ã«ã€ãããµãã | {B}{a} | fact1: ããããã®ã¡ããªãã³ãé
·ããªãã°ããã®ã¡ããªãã³ãããã ããªãããããçŠäžéã身ãããããšããããšã¯äºå®ãšç°ãªãããšããããšãæãç«ã€ fact2: ãããããã®ã¯åŠåãæžãèœãšãã°ããããå¿ç¥å±±ãæããããããã·ã³ãããšããããšã¯ãªãããšããããšã誀ãã fact3: ããäœãã¯å¿ç¥å±±ãæããã°ããã¯æ²³å£æ¹ç·ã«ã€ãããµãã fact4: ããããã®åçã¯å¿ç¥å±±ãæãããã·ã³ãããšããããšããªãããšããããšãäºå®ã ãšããããšã¯ãªããªãã°ããã®äœçŸãå¿ç¥å±±ãæãããšããããšã¯ãªãããšããããšãçå®ã fact5: ãã®ãã€ã³ã¿ãæ²³å£æ¹ç·ã«ã€ãããµãããªã fact6: ãå¿ç¥å±±ãæããããã®ããã fact7: ãã¢ã¡ããã£ãªããã®ã¯ãã fact8: ãæ²³å£æ¹ç·ã«ã€ãããµããããã®ã¯ãã fact9: ãããå¿ç¥å±±ãæããããã®ãããã°ãã®äžé©åãæ²³å£æ¹ç·ã«ã€ãããµãããšããããšã¯ãªã | fact1: {G}{d} -> ¬(¬{F}{d} & {E}{d}) fact2: (x): {D}x -> ¬({A}x & ¬{C}x) fact3: (x): {A}x -> {B}x fact4: ¬({A}{c} & ¬{C}{c}) -> ¬{A}{b} fact5: ¬{B}{m} fact6: (Ex): {A}x fact7: (Ex): {DQ}x fact8: (Ex): {B}x fact9: (x): {A}x -> ¬{B}{a} | [
"fact6 & fact9 -> hypothesis;"
] | [
"fact6 & fact9 -> hypothesis;"
] | ãã®äžé©åã¯æ²³å£æ¹ç·ã«ã€ãããµãã | {B}{a} | [
"fact10 -> int1: ãããã®äžé©åã¯å¿ç¥å±±ãæããã°ãããæ²³å£æ¹ç·ã«ã€ãããµãã;"
] | 9 | 1 | 1 | 7 | 0 | 7 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¡ããªãã³ãé
·ããªãã°ããã®ã¡ããªãã³ãããã ããªãããããçŠäžéã身ãããããšããããšã¯äºå®ãšç°ãªãããšããããšãæãç«ã€ fact2: ãããããã®ã¯åŠåãæžãèœãšãã°ããããå¿ç¥å±±ãæããããããã·ã³ãããšããããšã¯ãªãããšããããšã誀ãã fact3: ããäœãã¯å¿ç¥å±±ãæããã°ããã¯æ²³å£æ¹ç·ã«ã€ãããµãã fact4: ããããã®åçã¯å¿ç¥å±±ãæãããã·ã³ãããšããããšããªãããšããããšãäºå®ã ãšããããšã¯ãªããªãã°ããã®äœçŸãå¿ç¥å±±ãæãããšããããšã¯ãªãããšããããšãçå®ã fact5: ãã®ãã€ã³ã¿ãæ²³å£æ¹ç·ã«ã€ãããµãããªã fact6: ãå¿ç¥å±±ãæããããã®ããã fact7: ãã¢ã¡ããã£ãªããã®ã¯ãã fact8: ãæ²³å£æ¹ç·ã«ã€ãããµããããã®ã¯ãã fact9: ãããå¿ç¥å±±ãæããããã®ãããã°ãã®äžé©åãæ²³å£æ¹ç·ã«ã€ãããµãããšããããšã¯ãªã ; $hypothesis$ = ãã®äžé©åã¯æ²³å£æ¹ç·ã«ã€ãããµãã ; $proof$ = | fact6 & fact9 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {G}{d} -> ¬(¬{F}{d} & {E}{d}) fact2: (x): {D}x -> ¬({A}x & ¬{C}x) fact3: (x): {A}x -> {B}x fact4: ¬({A}{c} & ¬{C}{c}) -> ¬{A}{b} fact5: ¬{B}{m} fact6: (Ex): {A}x fact7: (Ex): {DQ}x fact8: (Ex): {B}x fact9: (x): {A}x -> ¬{B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | fact6 & fact9 -> hypothesis; __DISPROVED__ |
0.3 | ãã³ã³ãã§ã«ã³ã«æµ®ããããããšã¯çãããçéããå¥ãããšãçããªãããšããããšã¯æ¬åœã§ãªã | ¬({AA} & ¬{AB}) | fact1: ãæããšãããšãšæŒç©ãããã ãããšäž¡æ¹ã¯çºçããããšããããšãããããããããšãèµ·ãããªããšããããšãåå ã fact2: ãããããããããšããããšãçºçããªããªãã°ãã£ã±ããšããããšã¯èµ·ãããçŽãããããšããããšã¯çºçããªã fact3: ãããããããããããšãšæããšãããšã¯çºçããããšããããšãäºå®ãšç°ãªãã°æããšãããšãèµ·ãããªã fact4: 埡å家ã«ãŸãããããããšã¯çºçããªããšããããšã¯ãä¹ãæããããšãçããªããŠæ§ããšããããšã¯èµ·ããªãããšããããšãæã fact5: ã埡å家ã«ãŸãããããããšãèµ·ããããšããããšãããã£ã±ããšããããšãçºçãããçŽãããããšããããšã¯èµ·ããªãããšããããšã«é²ããã fact6: ãã©ãŒã«ãèµ·ãããæå
ãå±
æ®ãããšã¯çããªã fact7: ããæããšãããšã¯çºçããªããªãã°ãã³ã³ãã§ã«ã³ã«æµ®ããããããšãçããããããçéããå¥ãããšãçºçããªãããšããããšãåã fact8: ãããæµ·å¯ã¯çããªãããããéµäŸ¿ãçããããšããããšãééããªãã°ãããããããšããããšãèµ·ããªã fact9: ããä¹ãæããããšã¯çããªããªãã°ãããããããããšãèµ·ãããæããšãããšãèµ·ããããšããããšãçå®ã ãšããããšããªã fact10: ãããæããšãããšã¯çããããšããããšãæ¬åœãªãã°ã³ã³ãã§ã«ã³ã«æµ®ããããããšãçºçããããããçéããå¥ãããšã¯çããªã fact11: ãã埡å家ã«ãŸãããããããšãçºçããã°ããæ§ããšããããšã¯çããªããŠä¹ãæããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšããªãããšããããšã¯çå®ã fact12: çéããå¥ãããšã¯èµ·ããªã fact13: æããšãããšãçãããšããããšã¯çéããå¥ãããšã¯çºçããªããšããããšãæã | fact1: ¬{B} -> ({A} & {BH}) fact2: ¬{H} -> ({F} & ¬{G}) fact3: ¬({B} & {A}) -> ¬{A} fact4: ¬{E} -> (¬{C} & ¬{D}) fact5: ({F} & ¬{G}) -> ¬{E} fact6: ({BR} & ¬{IL}) fact7: ¬{A} -> ¬({AA} & ¬{AB}) fact8: ¬(¬{I} & {J}) -> ¬{H} fact9: ¬{C} -> ¬({B} & {A}) fact10: {A} -> ({AA} & ¬{AB}) fact11: {E} -> ¬(¬{D} & ¬{C}) fact12: ¬{AB} fact13: {A} -> ¬{AB} | [] | [] | æŒç©ãããã ãããšãèµ·ãã | {BH} | [] | 7 | 1 | null | 12 | 0 | 12 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæããšãããšãšæŒç©ãããã ãããšäž¡æ¹ã¯çºçããããšããããšãããããããããšãèµ·ãããªããšããããšãåå ã fact2: ãããããããããšããããšãçºçããªããªãã°ãã£ã±ããšããããšã¯èµ·ãããçŽãããããšããããšã¯çºçããªã fact3: ãããããããããããšãšæããšãããšã¯çºçããããšããããšãäºå®ãšç°ãªãã°æããšãããšãèµ·ãããªã fact4: 埡å家ã«ãŸãããããããšã¯çºçããªããšããããšã¯ãä¹ãæããããšãçããªããŠæ§ããšããããšã¯èµ·ããªãããšããããšãæã fact5: ã埡å家ã«ãŸãããããããšãèµ·ããããšããããšãããã£ã±ããšããããšãçºçãããçŽãããããšããããšã¯èµ·ããªãããšããããšã«é²ããã fact6: ãã©ãŒã«ãèµ·ãããæå
ãå±
æ®ãããšã¯çããªã fact7: ããæããšãããšã¯çºçããªããªãã°ãã³ã³ãã§ã«ã³ã«æµ®ããããããšãçããããããçéããå¥ãããšãçºçããªãããšããããšãåã fact8: ãããæµ·å¯ã¯çããªãããããéµäŸ¿ãçããããšããããšãééããªãã°ãããããããšããããšãèµ·ããªã fact9: ããä¹ãæããããšã¯çããªããªãã°ãããããããããšãèµ·ãããæããšãããšãèµ·ããããšããããšãçå®ã ãšããããšããªã fact10: ãããæããšãããšã¯çããããšããããšãæ¬åœãªãã°ã³ã³ãã§ã«ã³ã«æµ®ããããããšãçºçããããããçéããå¥ãããšã¯çããªã fact11: ãã埡å家ã«ãŸãããããããšãçºçããã°ããæ§ããšããããšã¯çããªããŠä¹ãæããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšããªãããšããããšã¯çå®ã fact12: çéããå¥ãããšã¯èµ·ããªã fact13: æããšãããšãçãããšããããšã¯çéããå¥ãããšã¯çºçããªããšããããšãæã ; $hypothesis$ = ãã³ã³ãã§ã«ã³ã«æµ®ããããããšã¯çãããçéããå¥ãããšãçããªãããšããããšã¯æ¬åœã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({A} & {BH}) fact2: ¬{H} -> ({F} & ¬{G}) fact3: ¬({B} & {A}) -> ¬{A} fact4: ¬{E} -> (¬{C} & ¬{D}) fact5: ({F} & ¬{G}) -> ¬{E} fact6: ({BR} & ¬{IL}) fact7: ¬{A} -> ¬({AA} & ¬{AB}) fact8: ¬(¬{I} & {J}) -> ¬{H} fact9: ¬{C} -> ¬({B} & {A}) fact10: {A} -> ({AA} & ¬{AB}) fact11: {E} -> ¬(¬{D} & ¬{C}) fact12: ¬{AB} fact13: {A} -> ¬{AB} ; $hypothesis$ = ¬({AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããæ°žããšããããšãçºçããªããŠçµ±å»åã¯èµ·ããªãããšããããšã¯äºå®ã ãšããããšã¯ãªãããšããããšãæãç«ã€ | ¬(¬{AA} & ¬{AB}) | fact1: ãæãŸãããšãçããªããè±è±ãããšããããšãçºçããªãããšããããšããããŸããããšããããšã¯çºçããªãããšããããšã«èµ·å ãã fact2: æ¹åãèµ·ãããªããããããšããããšãçããªã fact3: ãã¶ãããšããããšããèªéŠãšãã¡ãŠã«ã¯çºçããããšããããšã«ææ¢ããã fact4: ãããã«ä¹é
ããããšãèµ·ããªããŠãã¡ããŠãããšãçºçããªã fact5: ãããŸããããšããããšã¯èµ·ããããšããããšã¯ãæµ
é»ããšããããšã¯çºçããªãããšããããšã«é»æ¢ããã fact6: ãããã¡ãŠã«ãçããã°æµ
é»ããšããããšã¯èµ·ãããªãããã¶ãããšããããšã¯çºçãã fact7: ãããããšããããšãšãã¡ãŠã«äž¡æ¹ã¯èµ·ããããšããããšã¯ãç«æ£äœŒæäŒãèå±ããããšãçããªãããšããããšã«ããçºçãã fact8: å·¡éã¯çºçããªããããã©ãããªããšããããšãèµ·ããªã fact9: ãããã¶ãããšããããšã¯çããªããªãã°ããŸããããšããããšãšæµ
é»ããšããããšäž¡æ¹ãèµ·ãã fact10: ãèªéŠãçããããšããããšã¯ããã¡ãŠã«ãèµ·ããããšããããšã«ç¹ãã fact11: åãã¯çããªããŠæªè³¢ããšããããšãèµ·ããªã fact12: 移ãã¯çããªããæãããšããããšãèµ·ãããªã fact13: ãã©ããã©ããããšããããšãçºçããªããé·åŽå±ã«éžã³åºãããšã¯èµ·ãããªã fact14: åãåãã¯èµ·ããªããŠç±ã¯èµ·ããªã fact15: æ°žããšããããšãçããªã fact16: ããããŸããããšããããšãèµ·ããã°ããæ°žããšããããšãçºçããªããçµ±å»åãèµ·ãããªãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã | fact1: ¬{A} -> (¬{HK} & ¬{JK}) fact2: (¬{BN} & ¬{AF}) fact3: ({E} & {D}) -> ¬{C} fact4: (¬{BQ} & ¬{DI}) fact5: ¬{B} -> ¬{A} fact6: {D} -> (¬{B} & {C}) fact7: ¬{G} -> ({F} & {D}) fact8: (¬{IF} & ¬{GE}) fact9: ¬{C} -> ({A} & {B}) fact10: {E} -> {D} fact11: (¬{DS} & ¬{CB}) fact12: (¬{BR} & ¬{FF}) fact13: (¬{FB} & ¬{AS}) fact14: (¬{DH} & ¬{FN}) fact15: ¬{AA} fact16: {A} -> ¬(¬{AA} & ¬{AB}) | [] | [] | ãæ°žããšããããšãèµ·ãããªããçµ±å»åãçºçããªãããšããããšãæãç«ã€ãšããããšã¯ãªã | ¬(¬{AA} & ¬{AB}) | [] | 9 | 1 | null | 16 | 0 | 16 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæãŸãããšãçããªããè±è±ãããšããããšãçºçããªãããšããããšããããŸããããšããããšã¯çºçããªãããšããããšã«èµ·å ãã fact2: æ¹åãèµ·ãããªããããããšããããšãçããªã fact3: ãã¶ãããšããããšããèªéŠãšãã¡ãŠã«ã¯çºçããããšããããšã«ææ¢ããã fact4: ãããã«ä¹é
ããããšãèµ·ããªããŠãã¡ããŠãããšãçºçããªã fact5: ãããŸããããšããããšã¯èµ·ããããšããããšã¯ãæµ
é»ããšããããšã¯çºçããªãããšããããšã«é»æ¢ããã fact6: ãããã¡ãŠã«ãçããã°æµ
é»ããšããããšã¯èµ·ãããªãããã¶ãããšããããšã¯çºçãã fact7: ãããããšããããšãšãã¡ãŠã«äž¡æ¹ã¯èµ·ããããšããããšã¯ãç«æ£äœŒæäŒãèå±ããããšãçããªãããšããããšã«ããçºçãã fact8: å·¡éã¯çºçããªããããã©ãããªããšããããšãèµ·ããªã fact9: ãããã¶ãããšããããšã¯çããªããªãã°ããŸããããšããããšãšæµ
é»ããšããããšäž¡æ¹ãèµ·ãã fact10: ãèªéŠãçããããšããããšã¯ããã¡ãŠã«ãèµ·ããããšããããšã«ç¹ãã fact11: åãã¯çããªããŠæªè³¢ããšããããšãèµ·ããªã fact12: 移ãã¯çããªããæãããšããããšãèµ·ãããªã fact13: ãã©ããã©ããããšããããšãçºçããªããé·åŽå±ã«éžã³åºãããšã¯èµ·ãããªã fact14: åãåãã¯èµ·ããªããŠç±ã¯èµ·ããªã fact15: æ°žããšããããšãçããªã fact16: ããããŸããããšããããšãèµ·ããã°ããæ°žããšããããšãçºçããªããçµ±å»åãèµ·ãããªãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã ; $hypothesis$ = ããæ°žããšããããšãçºçããªããŠçµ±å»åã¯èµ·ããªãããšããããšã¯äºå®ã ãšããããšã¯ãªãããšããããšãæãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A} -> (¬{HK} & ¬{JK}) fact2: (¬{BN} & ¬{AF}) fact3: ({E} & {D}) -> ¬{C} fact4: (¬{BQ} & ¬{DI}) fact5: ¬{B} -> ¬{A} fact6: {D} -> (¬{B} & {C}) fact7: ¬{G} -> ({F} & {D}) fact8: (¬{IF} & ¬{GE}) fact9: ¬{C} -> ({A} & {B}) fact10: {E} -> {D} fact11: (¬{DS} & ¬{CB}) fact12: (¬{BR} & ¬{FF}) fact13: (¬{FB} & ¬{AS}) fact14: (¬{DH} & ¬{FN}) fact15: ¬{AA} fact16: {A} -> ¬(¬{AA} & ¬{AB}) ; $hypothesis$ = ¬(¬{AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®å®¿åãããŸããšããããšããªã | ¬{A}{a} | fact1: ãããã®èŠèã¯è延ã ããããããã¯ä»®èºãã§ãªããªãã°ãã®å®¿åãã¯ãŸããªã fact2: ããå°è³¢ãããã®ã§ãã£ãŠè³é ããã®ããšããããšã¯ééããªããã®ããã fact3: ããããå°è³¢ãããšããããšããªããã®ã§ãã£ãŠè³é ããã®ããšããããšãåœãªããã®ã¯ããã°ãã®å®¿åãã¯ãŸã fact4: ãã®ãã¬ã³ããåŒãèµ·ãã fact5: ãããããã®ããŸããšããããšããªããªãã°ããããéè±åã ãšããããšããªããææ¥çŸéã ããšããããšã¯æãç«ããªã fact6: ããäœãã¯åŒãèµ·ããã°ãããã¯æ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ãããããã£ãããªãããšããããšãééãã fact7: ããããã®èŠèãæµå¿ã«èãããšããããšã¯äºå®ãªãã°ãã®å®¿åãã¯è延ã fact8: äœããå°è³¢ãããªããã®ã§ãã£ãŠè³é ããã® fact9: ãè延ã¯ä»®èºãã§ãªããŠãŸããšããããšããªãããšããããšãæãç«ã€ fact10: ãããããã®ã¯è³é ããªããªãã°ãã®å®¿åãããŸã fact11: ããããæ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ããã£ããããšããããšããªãããšããããšã¯ééããªããã®ã¯ããã°ãã®èŠèã¯æµå¿ã«èããšããããšããªã | fact1: ({C}{b} & ¬{B}{b}) -> ¬{A}{a} fact2: (Ex): ¬({AA}x & {AB}x) fact3: (x): ¬(¬{AA}x & {AB}x) -> {A}{a} fact4: {G}{c} fact5: (x): ¬{A}x -> ¬(¬{IF}x & {IK}x) fact6: (x): {G}x -> ¬({F}x & ¬{E}x) fact7: {D}{b} -> {C}{a} fact8: (Ex): (¬{AA}x & {AB}x) fact9: (x): {C}x -> (¬{B}x & ¬{A}x) fact10: (x): ¬{AB}x -> {A}{a} fact11: (x): ¬({F}x & ¬{E}x) -> ¬{D}{b} | [] | [] | ããéè±åã ãšããããšã¯ãªããææ¥çŸéã ããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ã¯ãã | (Ex): ¬(¬{IF}x & {IK}x) | [
"fact15 -> int1: ãããã®å®¿åãã¯ãŸããªããªãã°ããããéè±åã ãšããããšã¯ãªããææ¥çŸéã ããšããããšã¯åã ; fact12 -> int2: ãããã®ãã¬ã³ãã¯åŒãèµ·ããã°ããããæ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ããã£ãããªãããšããããšãæãç«ã€ãšããããšããªã; int2 & fact14 -> int3: ããã®ãã¬ã³ãã¯æ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ããã£ããããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªã; int3 -> int4: ããæ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ããã£ããããšããããšããªãããšããããšã¯æ¬åœã ãšããããšããªãããã®ããã; int4 & fact13 -> int5: ãã®èŠèãæµå¿ã«èããšããããšããªã;"
] | 8 | 1 | null | 10 | 0 | 10 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®èŠèã¯è延ã ããããããã¯ä»®èºãã§ãªããªãã°ãã®å®¿åãã¯ãŸããªã fact2: ããå°è³¢ãããã®ã§ãã£ãŠè³é ããã®ããšããããšã¯ééããªããã®ããã fact3: ããããå°è³¢ãããšããããšããªããã®ã§ãã£ãŠè³é ããã®ããšããããšãåœãªããã®ã¯ããã°ãã®å®¿åãã¯ãŸã fact4: ãã®ãã¬ã³ããåŒãèµ·ãã fact5: ãããããã®ããŸããšããããšããªããªãã°ããããéè±åã ãšããããšããªããææ¥çŸéã ããšããããšã¯æãç«ããªã fact6: ããäœãã¯åŒãèµ·ããã°ãããã¯æ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ãããããã£ãããªãããšããããšãééãã fact7: ããããã®èŠèãæµå¿ã«èãããšããããšã¯äºå®ãªãã°ãã®å®¿åãã¯è延ã fact8: äœããå°è³¢ãããªããã®ã§ãã£ãŠè³é ããã® fact9: ãè延ã¯ä»®èºãã§ãªããŠãŸããšããããšããªãããšããããšãæãç«ã€ fact10: ãããããã®ã¯è³é ããªããªãã°ãã®å®¿åãããŸã fact11: ããããæ¥æ¬ã«ã¢ã·ã«ã»ã³ã¿ãŒãããããã€ããã£ããããšããããšããªãããšããããšã¯ééããªããã®ã¯ããã°ãã®èŠèã¯æµå¿ã«èããšããããšããªã ; $hypothesis$ = ãã®å®¿åãããŸããšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({C}{b} & ¬{B}{b}) -> ¬{A}{a} fact2: (Ex): ¬({AA}x & {AB}x) fact3: (x): ¬(¬{AA}x & {AB}x) -> {A}{a} fact4: {G}{c} fact5: (x): ¬{A}x -> ¬(¬{IF}x & {IK}x) fact6: (x): {G}x -> ¬({F}x & ¬{E}x) fact7: {D}{b} -> {C}{a} fact8: (Ex): (¬{AA}x & {AB}x) fact9: (x): {C}x -> (¬{B}x & ¬{A}x) fact10: (x): ¬{AB}x -> {A}{a} fact11: (x): ¬({F}x & ¬{E}x) -> ¬{D}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | å£äºãã¯èµ·ãããªãããããã¯ãã¯ã€ãã«ã²ããããããšã¯çºçããªã | (¬{AA} v ¬{AB}) | fact1: ãããæçšã¯çããªãããšããããšãæãç«ãŠã°ããããã§ãããšããããšã¯çºçããªãããããã¯ã¯ã ããããšããããšãçããªãããšããããšã¯èª€ãã§ãªãããšããããšã¯åã fact2: ããã¯ã€ãã«ã²ããããããšãèµ·ããããšããããšã¯çå®ã fact3: ãå£äºããçºçããªãããããã¯ãã¯ã€ãã«ã²ããããããšãèµ·ãããªãããããã¯äž¡æ¹ã ããšããããšãäºå®ãšç°ãªã fact4: ããããŸãããšããããšã¯èµ·ããã°ãã¯ã€ãã«ã²ããããããšãçºçããªãããããæçšãèµ·ãã fact5: ãããŸãããšããããšãèµ·ããªããŠãããããšããããšãçããªãããšããããšããæçšã¯çããããšããããšãåé¿ãã | fact1: ¬{A} -> ¬(¬{BQ} v ¬{II}) fact2: {AB} fact3: ¬(¬{AA} v ¬{AB}) fact4: {B} -> (¬{AB} & {A}) fact5: (¬{B} & ¬{C}) -> ¬{A} | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ãããã§ãããšããããšã¯èµ·ãããªããã¯ã ããããšããããšãçºçããªãããšããããšãäºå®ã§ãªã | ¬(¬{BQ} v ¬{II}) | [] | 7 | 1 | 0 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããæçšã¯çããªãããšããããšãæãç«ãŠã°ããããã§ãããšããããšã¯çºçããªãããããã¯ã¯ã ããããšããããšãçããªãããšããããšã¯èª€ãã§ãªãããšããããšã¯åã fact2: ããã¯ã€ãã«ã²ããããããšãèµ·ããããšããããšã¯çå®ã fact3: ãå£äºããçºçããªãããããã¯ãã¯ã€ãã«ã²ããããããšãèµ·ãããªãããããã¯äž¡æ¹ã ããšããããšãäºå®ãšç°ãªã fact4: ããããŸãããšããããšã¯èµ·ããã°ãã¯ã€ãã«ã²ããããããšãçºçããªãããããæçšãèµ·ãã fact5: ãããŸãããšããããšãèµ·ããªããŠãããããšããããšãçããªãããšããããšããæçšã¯çããããšããããšãåé¿ãã ; $hypothesis$ = å£äºãã¯èµ·ãããªãããããã¯ãã¯ã€ãã«ã²ããããããšã¯çºçããªã ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A} -> ¬(¬{BQ} v ¬{II}) fact2: {AB} fact3: ¬(¬{AA} v ¬{AB}) fact4: {B} -> (¬{AB} & {A}) fact5: (¬{B} & ¬{C}) -> ¬{A} ; $hypothesis$ = (¬{AA} v ¬{AB}) ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®è»æŽŸã¯ãµãããã | {B}{a} | fact1: ãããã®é²é§ãå
±æãªãã°ãã®è»æŽŸãã ãåã fact2: ãããã®è»æŽŸãæ°éã£ãœããšããããšããªãããããããã¯ãµããããã°ããã¯äžå€©éã ãšããããšã¯ãªã fact3: ãããã®äœ³èŽã¯æ²Œå°»é«åãçŒãåºããããããããæŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªããªãã°ãã®é²é§ã¯æŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªã fact4: ãããã®è»æŽŸãçå·ã§ãªãããããããã¯ãããªãã°ããã¯ãµãããããšããããšã¯ãªã fact5: ããããã®äœ³èŽãå
±æã ããšããããšãçå®ãªãã°ãã®é²é§ã¯å
±æã fact6: ãããã®äœ³èŽãçç é»ç·ã ãšããããšããªãããããããã¯åéšå€§å®®ãªãã°ããã¯çºããããšããããšã¯ãªã fact7: ãã®è¥è¡ããã fact8: ããããããã®ãå±±æ±äžããŸããããšããããšãæ£ãããªãã°ããã¯æ²Œå°»é«åãçŒãåºããæŠåº«å·å¥³å倧åŠã ãšããããšããªã fact9: å
šãŠãæŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªã fact10: ãã®è»æŽŸããã fact11: ã沌尻é«åãçŒãåºãããã®ã¯ãã fact12: ãããããã®ãæŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªããªãã°ãããã¯çš²ç©äžæ¡ãéšãããå
±æã ãšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact13: ããäœãã¯ãµããããŸãªããªãã°ããã¯ç
§èããšããããšã¯ãªããã®ã§ãã£ãŠã ãåã ãã® fact14: ãããã®é²é§ãæŠåº«å·å¥³å倧åŠã§ãªããªãã°ããã®è»æŽŸã¯çš²ç©äžæ¡ãéšãããšããããšããªããŠãããå
±æã ãšããããšããªãããšããããšãæ¬åœã§ãªã fact15: ããããã®è»æŽŸã¯çš²ç©äžæ¡ãéšãããšããããšã¯ãªããŠå
±æã ãšããããšããªãããšããããšã¯æãç«ããªããªãã°ãã®è¥è¡ããµãããããšããããšã¯ãªã fact16: çºããããšããããšã¯ãªããã®ã¯å±±æ±äžããŸããããã¿ãããã fact17: ããããããã®ãçš²ç©äžæ¡ãéšãããå
±æã ãšããããšã¯ãªãããšããããšãééããªãã°ãããå
±æã fact18: ãã®åŒŸé ãçå·ã | fact1: {C}{b} -> {A}{a} fact2: (¬{BT}{a} & {B}{a}) -> ¬{JE}{a} fact3: ({F}{c} & ¬{E}{c}) -> ¬{E}{b} fact4: (¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact5: {C}{c} -> {C}{b} fact6: (¬{K}{c} & {J}{c}) -> ¬{I}{c} fact7: {AB}{g} fact8: (x): {G}x -> ({F}x & ¬{E}x) fact9: (x): ¬{E}x fact10: {AB}{a} fact11: (Ex): {F}x fact12: (x): ¬{E}x -> ¬({D}x & ¬{C}x) fact13: (x): ¬{B}x -> (¬{HJ}x & {A}x) fact14: ¬{E}{b} -> ¬(¬{D}{a} & ¬{C}{a}) fact15: ¬(¬{D}{a} & ¬{C}{a}) -> ¬{B}{g} fact16: (x): ¬{I}x -> ({G}x & {H}x) fact17: (x): ¬({D}x & ¬{C}x) -> {C}x fact18: {AA}{am} | [] | [] | ãã®è»æŽŸããµãããã | {B}{a} | [
"fact20 -> int1: ãã®äœ³èŽãæŠåº«å·å¥³å倧åŠã ãšããããšããªã; fact19 -> int2: ãããã®äœ³èŽãæŠåº«å·å¥³å倧åŠã§ãªããªãã°ãããã¯çš²ç©äžæ¡ãéšããããããå
±æã ãšããããšã¯ãªãããšããããšãåã ; int1 & int2 -> int3: ããã®äœ³èŽãçš²ç©äžæ¡ãéšãããããããããå
±æã ãšããããšã¯ãªãããšããããšãçå®ã ãšããããšã¯ãªã; int3 -> int4: ããã¯çš²ç©äžæ¡ãéšãããããã¯å
±æã§ãªããšãããã®ããªã; int4 -> int5: ããã®é²é§ã¯çš²ç©äžæ¡ãéšããããããå
±æã§ãªãããšããããšã¯åã ; fact22 -> int6: ããããã®é²é§ã¯çš²ç©äžæ¡ãéšããããããå
±æã ãšããããšããªãããšããããšãæãç«ããªããªãã°ããã¯å
±æã ; int5 & int6 -> int7: ãã®é²é§ã¯å
±æã ; fact21 & int7 -> int8: ãã®è»æŽŸãã ãåã ;"
] | 7 | 1 | null | 17 | 0 | 17 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®é²é§ãå
±æãªãã°ãã®è»æŽŸãã ãåã fact2: ãããã®è»æŽŸãæ°éã£ãœããšããããšããªãããããããã¯ãµããããã°ããã¯äžå€©éã ãšããããšã¯ãªã fact3: ãããã®äœ³èŽã¯æ²Œå°»é«åãçŒãåºããããããããæŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªããªãã°ãã®é²é§ã¯æŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªã fact4: ãããã®è»æŽŸãçå·ã§ãªãããããããã¯ãããªãã°ããã¯ãµãããããšããããšã¯ãªã fact5: ããããã®äœ³èŽãå
±æã ããšããããšãçå®ãªãã°ãã®é²é§ã¯å
±æã fact6: ãããã®äœ³èŽãçç é»ç·ã ãšããããšããªãããããããã¯åéšå€§å®®ãªãã°ããã¯çºããããšããããšã¯ãªã fact7: ãã®è¥è¡ããã fact8: ããããããã®ãå±±æ±äžããŸããããšããããšãæ£ãããªãã°ããã¯æ²Œå°»é«åãçŒãåºããæŠåº«å·å¥³å倧åŠã ãšããããšããªã fact9: å
šãŠãæŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªã fact10: ãã®è»æŽŸããã fact11: ã沌尻é«åãçŒãåºãããã®ã¯ãã fact12: ãããããã®ãæŠåº«å·å¥³å倧åŠã ãšããããšã¯ãªããªãã°ãããã¯çš²ç©äžæ¡ãéšãããå
±æã ãšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact13: ããäœãã¯ãµããããŸãªããªãã°ããã¯ç
§èããšããããšã¯ãªããã®ã§ãã£ãŠã ãåã ãã® fact14: ãããã®é²é§ãæŠåº«å·å¥³å倧åŠã§ãªããªãã°ããã®è»æŽŸã¯çš²ç©äžæ¡ãéšãããšããããšããªããŠãããå
±æã ãšããããšããªãããšããããšãæ¬åœã§ãªã fact15: ããããã®è»æŽŸã¯çš²ç©äžæ¡ãéšãããšããããšã¯ãªããŠå
±æã ãšããããšããªãããšããããšã¯æãç«ããªããªãã°ãã®è¥è¡ããµãããããšããããšã¯ãªã fact16: çºããããšããããšã¯ãªããã®ã¯å±±æ±äžããŸããããã¿ãããã fact17: ããããããã®ãçš²ç©äžæ¡ãéšãããå
±æã ãšããããšã¯ãªãããšããããšãééããªãã°ãããå
±æã fact18: ãã®åŒŸé ãçå·ã ; $hypothesis$ = ãã®è»æŽŸã¯ãµãããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{b} -> {A}{a} fact2: (¬{BT}{a} & {B}{a}) -> ¬{JE}{a} fact3: ({F}{c} & ¬{E}{c}) -> ¬{E}{b} fact4: (¬{AA}{a} & {AB}{a}) -> ¬{B}{a} fact5: {C}{c} -> {C}{b} fact6: (¬{K}{c} & {J}{c}) -> ¬{I}{c} fact7: {AB}{g} fact8: (x): {G}x -> ({F}x & ¬{E}x) fact9: (x): ¬{E}x fact10: {AB}{a} fact11: (Ex): {F}x fact12: (x): ¬{E}x -> ¬({D}x & ¬{C}x) fact13: (x): ¬{B}x -> (¬{HJ}x & {A}x) fact14: ¬{E}{b} -> ¬(¬{D}{a} & ¬{C}{a}) fact15: ¬(¬{D}{a} & ¬{C}{a}) -> ¬{B}{g} fact16: (x): ¬{I}x -> ({G}x & {H}x) fact17: (x): ¬({D}x & ¬{C}x) -> {C}x fact18: {AA}{am} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®åŸéã¯å€§ç¢æžãæããªã | ¬{B}{a} | fact1: ãã®ç¢æã¯ããããã¶ãããšããããšããªã fact2: ãããã®ç¢æãç±ããšããããšããªãããããããããã¶ãããªãã°ããã¯ããããã fact3: ããããã®ç¢æãããããã¶ãããšããããšã¯ãªãããšããããšãæãç«ãŠã°ãããããããããããã¯ç±ã fact4: ãããã®åŸéãæ°ããããããšããããšããªããªãã°ãããã¯å²©å島ãéãããšããããšã¯ãªãããšããããšãæ£ãã fact5: ããäœãã¯èãå¯ããªããªãã°ãããã倧ç¢æžãæãã銎ããªãããããšããããšãæãç«ã€ãšããããšããªã fact6: ãããã®åŸéãããããããªããªãã°ããã¯å€§ç¢æžãæããªã fact7: ããã®åŸéã¯ãããããã蚪æ¥ãä¹ãéãããšããããšãæãç«ã€ãšããããšããªã fact8: ããã®åŸéãçè±ã§ãã£ãŠèšªæ¥ãä¹ãéããã®ããšããããšãæãç«ã€ãšããããšã¯ãªã fact9: èãå¯ããšããããšããªããã®ã枬ãã銎ããªãããããããã¯äž¡æ¹ã fact10: ãããã®éä»åãã蚪æ¥ãä¹ãéãããããããšããããšã¯ééãã ããšããããšã¯æ¬åœã fact11: ããããã®åŸéã¯äžå
åæããã¡ãããèãã¥ããããšããããšãæãç«ã€ãšããããšããªããªãã°ããã¯å€§ç¢æžãæããšããããšã¯ãªã fact12: ãããã®å¶ºã¯æž¬ããšããããšããªããªãã°ãããã¯æ
ããªããªããã®ã§ãã£ãŠèãå¯ããã®ããšããããšã¯æãç«ããªã fact13: ããããããã®ãæ
ããªãããããã¯èãå¯ããšããããšããªã fact14: ãããæ
ããªããèãå¯ããšããããšã¯ãªããäž¡æ¹ãªããã®ã¯ããã°ãã®å¶ºã¯èãå¯ããšããããšããªã fact15: ããããã®å¶ºãæ
ããªããªããŠèãå¯ãããšããããšã¯æãç«ã€ãšããããšããªããªãã°ãã®åŸéã¯èãå¯ããšããããšã¯ãªã fact16: ããã®çµå¡ã¯ãããããªããŠããã¯éžé£ãã²ããããããšããããšãæãç«ããªã fact17: ããããã®ããã£ããã«ãŒããã«ãã ãããã¯èšªæ¥ãä¹ãéãããšããããšãåœãªãã°ãããã»ããªãããªã fact18: ãããããã®ã銎ããªããããªãã°ããã¯å€§ç¢æžãæã fact19: ããããã®åŸéãããããããããã蚪æ¥ãä¹ãéãããšããããšãåœãªãã°ããã¯å€§ç¢æžãæããªã | fact1: ¬{H}{c} fact2: (¬{G}{c} & {H}{c}) -> {F}{c} fact3: ¬{H}{c} -> ({F}{c} & {G}{c}) fact4: ¬{DF}{a} -> ¬{DU}{a} fact5: (x): ¬{C}x -> ¬({B}x & {A}x) fact6: ¬{AA}{a} -> ¬{B}{a} fact7: ¬({AA}{a} & {AB}{a}) fact8: ¬({JI}{a} & {AB}{a}) fact9: (x): ¬{C}x -> ({D}x v {A}x) fact10: ¬({AB}{ib} & {DE}{ib}) fact11: ¬({IM}{a} & {GE}{a}) -> ¬{B}{a} fact12: ¬{D}{b} -> ¬(¬{E}{b} & {C}{b}) fact13: (x): {F}x -> ({E}x v ¬{C}x) fact14: (x): ({E}x v ¬{C}x) -> ¬{C}{b} fact15: ¬(¬{E}{b} & {C}{b}) -> ¬{C}{a} fact16: ¬({GB}{fo} & {GT}{fo}) fact17: ¬({DC}{cc} & {AB}{cc}) -> ¬{BH}{cc} fact18: (x): {A}x -> {B}x fact19: ¬({AA}{a} & {AB}{a}) -> ¬{B}{a} | [
"fact19 & fact7 -> hypothesis;"
] | [
"fact19 & fact7 -> hypothesis;"
] | ãã®åŸéã倧ç¢æžãæã | {B}{a} | [
"fact23 -> int1: ãããã®åŸéã¯éŠŽããªããããªãã°ããã倧ç¢æžãæã; fact20 -> int2: ãããã®å¶ºãèãå¯ããšããããšããªããªãã°ããã¯æž¬ããããã¯éŠŽããªããã; fact22 -> int3: ãããã®ç¢æã¯ããããããªãã°ããã¯æ
ããªãããããã¯èãå¯ããªããäž¡æ¹ã ;"
] | 7 | 1 | 1 | 17 | 0 | 17 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ç¢æã¯ããããã¶ãããšããããšããªã fact2: ãããã®ç¢æãç±ããšããããšããªãããããããããã¶ãããªãã°ããã¯ããããã fact3: ããããã®ç¢æãããããã¶ãããšããããšã¯ãªãããšããããšãæãç«ãŠã°ãããããããããããã¯ç±ã fact4: ãããã®åŸéãæ°ããããããšããããšããªããªãã°ãããã¯å²©å島ãéãããšããããšã¯ãªãããšããããšãæ£ãã fact5: ããäœãã¯èãå¯ããªããªãã°ãããã倧ç¢æžãæãã銎ããªãããããšããããšãæãç«ã€ãšããããšããªã fact6: ãããã®åŸéãããããããªããªãã°ããã¯å€§ç¢æžãæããªã fact7: ããã®åŸéã¯ãããããã蚪æ¥ãä¹ãéãããšããããšãæãç«ã€ãšããããšããªã fact8: ããã®åŸéãçè±ã§ãã£ãŠèšªæ¥ãä¹ãéããã®ããšããããšãæãç«ã€ãšããããšã¯ãªã fact9: èãå¯ããšããããšããªããã®ã枬ãã銎ããªãããããããã¯äž¡æ¹ã fact10: ãããã®éä»åãã蚪æ¥ãä¹ãéãããããããšããããšã¯ééãã ããšããããšã¯æ¬åœã fact11: ããããã®åŸéã¯äžå
åæããã¡ãããèãã¥ããããšããããšãæãç«ã€ãšããããšããªããªãã°ããã¯å€§ç¢æžãæããšããããšã¯ãªã fact12: ãããã®å¶ºã¯æž¬ããšããããšããªããªãã°ãããã¯æ
ããªããªããã®ã§ãã£ãŠèãå¯ããã®ããšããããšã¯æãç«ããªã fact13: ããããããã®ãæ
ããªãããããã¯èãå¯ããšããããšããªã fact14: ãããæ
ããªããèãå¯ããšããããšã¯ãªããäž¡æ¹ãªããã®ã¯ããã°ãã®å¶ºã¯èãå¯ããšããããšããªã fact15: ããããã®å¶ºãæ
ããªããªããŠèãå¯ãããšããããšã¯æãç«ã€ãšããããšããªããªãã°ãã®åŸéã¯èãå¯ããšããããšã¯ãªã fact16: ããã®çµå¡ã¯ãããããªããŠããã¯éžé£ãã²ããããããšããããšãæãç«ããªã fact17: ããããã®ããã£ããã«ãŒããã«ãã ãããã¯èšªæ¥ãä¹ãéãããšããããšãåœãªãã°ãããã»ããªãããªã fact18: ãããããã®ã銎ããªããããªãã°ããã¯å€§ç¢æžãæã fact19: ããããã®åŸéãããããããããã蚪æ¥ãä¹ãéãããšããããšãåœãªãã°ããã¯å€§ç¢æžãæããªã ; $hypothesis$ = ãã®åŸéã¯å€§ç¢æžãæããªã ; $proof$ = | fact19 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{H}{c} fact2: (¬{G}{c} & {H}{c}) -> {F}{c} fact3: ¬{H}{c} -> ({F}{c} & {G}{c}) fact4: ¬{DF}{a} -> ¬{DU}{a} fact5: (x): ¬{C}x -> ¬({B}x & {A}x) fact6: ¬{AA}{a} -> ¬{B}{a} fact7: ¬({AA}{a} & {AB}{a}) fact8: ¬({JI}{a} & {AB}{a}) fact9: (x): ¬{C}x -> ({D}x v {A}x) fact10: ¬({AB}{ib} & {DE}{ib}) fact11: ¬({IM}{a} & {GE}{a}) -> ¬{B}{a} fact12: ¬{D}{b} -> ¬(¬{E}{b} & {C}{b}) fact13: (x): {F}x -> ({E}x v ¬{C}x) fact14: (x): ({E}x v ¬{C}x) -> ¬{C}{b} fact15: ¬(¬{E}{b} & {C}{b}) -> ¬{C}{a} fact16: ¬({GB}{fo} & {GT}{fo}) fact17: ¬({DC}{cc} & {AB}{cc}) -> ¬{BH}{cc} fact18: (x): {A}x -> {B}x fact19: ¬({AA}{a} & {AB}{a}) -> ¬{B}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact19 & fact7 -> hypothesis; __PROVED__ |
0.3 | ã³ãã«é»åã«æãããšãèµ·ããªã | ¬{B} | fact1: çªå å
ã«èžãšã©ãŸãããšã¯èµ·ãã fact2: ãåèã¯èµ·ããªãããšããããšã¯ãã³ãã«é»åã«æãããšãèµ·ãããªããçªå å
ã«èžãšã©ãŸãããšãçããããšããããšã®åå ãšãªã fact3: ã³ãã«é»åã«æãããšã¯èµ·ãããšããããšã¯ãçªå å
ã«èžãšã©ãŸãããšãçºçããããšããããšã«ç±æ¥ãã | fact1: {A} fact2: ¬{C} -> (¬{B} & {A}) fact3: {A} -> {B} | [
"fact3 & fact1 -> hypothesis;"
] | [
"fact3 & fact1 -> hypothesis;"
] | ã³ãã«é»åã«æãããšã¯èµ·ãããªã | ¬{B} | [] | 6 | 1 | 1 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: çªå å
ã«èžãšã©ãŸãããšã¯èµ·ãã fact2: ãåèã¯èµ·ããªãããšããããšã¯ãã³ãã«é»åã«æãããšãèµ·ãããªããçªå å
ã«èžãšã©ãŸãããšãçããããšããããšã®åå ãšãªã fact3: ã³ãã«é»åã«æãããšã¯èµ·ãããšããããšã¯ãçªå å
ã«èžãšã©ãŸãããšãçºçããããšããããšã«ç±æ¥ãã ; $hypothesis$ = ã³ãã«é»åã«æãããšãèµ·ããªã ; $proof$ = | fact3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: ¬{C} -> (¬{B} & {A}) fact3: {A} -> {B} ; $hypothesis$ = ¬{B} ; $proof$ = | fact3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®ç座ã¯ãã³ãã¯ã©ã«åŒãç«ã€ãšããããšã¯ãªããªãã°ãã®ç座ã¯å€©äŒ¯åã ããšããããšãæãç«ããªã | ¬(¬{B}{aa} -> {C}{aa}) | fact1: ãããã®ç座ã¯ãã³ãã¯ã©ã«åŒãç«ãŠã°ããã倩䌯åã fact2: ããäœãã¯ãã³ãã¯ã©ã«åŒãç«ãŠã°ããã倩䌯åã fact3: ãããããã®ã¯ãã³ãã¯ã©ã«åŒãç«ã€ãšããããšã¯ãªããªãã°ããããäŒäœä¹
ã ããšããããšã¯æ¬åœã fact4: ãããã®åµå¯ãèªé¡ãªãã°ãããå
éåã fact5: ããããã¿ã¶ãããªããã®ã¯äºã±ç¬ã ããšããããšã¯çå®ã fact6: ããäœããããããããšããããšã¯ãªããªãã°ããããçŠçŠããããšããããšã¯æ£ãã fact7: ãããã®ç座ã¯èãããããªãã°ãããæµæ¢ã fact8: ããäœãã¯äŒäœä¹
ã ãšããããšããªããªãã°ããã¯è³åã fact9: ãããããã®ãäžå€åœå³¶ã«æåºãã°ããã¯çµã fact10: ãããã®ç座ããã¡ã¯ãããã°ããã¯ãã³ãã¯ã©ã«åŒãç«ã€ | fact1: {B}{aa} -> {C}{aa} fact2: (x): {B}x -> {C}x fact3: (x): ¬{B}x -> {CJ}x fact4: {FC}{ii} -> {GE}{ii} fact5: (x): ¬{FL}x -> {DB}x fact6: (x): ¬{EP}x -> {AJ}x fact7: {CA}{aa} -> {EM}{aa} fact8: (x): ¬{CJ}x -> {CO}x fact9: (x): {HB}x -> {HR}x fact10: {FB}{aa} -> {B}{aa} | [] | [] | ãããã®ç座ããã³ãã¯ã©ã«åŒãç«ã€ãšããããšã¯ãªããªãã°ãããäŒäœä¹
ã | ¬{B}{aa} -> {CJ}{aa} | [
"fact11 -> hypothesis;"
] | 1 | 1 | null | 10 | 0 | 10 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããã®ç座ã¯ãã³ãã¯ã©ã«åŒãç«ãŠã°ããã倩䌯åã fact2: ããäœãã¯ãã³ãã¯ã©ã«åŒãç«ãŠã°ããã倩䌯åã fact3: ãããããã®ã¯ãã³ãã¯ã©ã«åŒãç«ã€ãšããããšã¯ãªããªãã°ããããäŒäœä¹
ã ããšããããšã¯æ¬åœã fact4: ãããã®åµå¯ãèªé¡ãªãã°ãããå
éåã fact5: ããããã¿ã¶ãããªããã®ã¯äºã±ç¬ã ããšããããšã¯çå®ã fact6: ããäœããããããããšããããšã¯ãªããªãã°ããããçŠçŠããããšããããšã¯æ£ãã fact7: ãããã®ç座ã¯èãããããªãã°ãããæµæ¢ã fact8: ããäœãã¯äŒäœä¹
ã ãšããããšããªããªãã°ããã¯è³åã fact9: ãããããã®ãäžå€åœå³¶ã«æåºãã°ããã¯çµã fact10: ãããã®ç座ããã¡ã¯ãããã°ããã¯ãã³ãã¯ã©ã«åŒãç«ã€ ; $hypothesis$ = ããããã®ç座ã¯ãã³ãã¯ã©ã«åŒãç«ã€ãšããããšã¯ãªããªãã°ãã®ç座ã¯å€©äŒ¯åã ããšããããšãæãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{aa} -> {C}{aa} fact2: (x): {B}x -> {C}x fact3: (x): ¬{B}x -> {CJ}x fact4: {FC}{ii} -> {GE}{ii} fact5: (x): ¬{FL}x -> {DB}x fact6: (x): ¬{EP}x -> {AJ}x fact7: {CA}{aa} -> {EM}{aa} fact8: (x): ¬{CJ}x -> {CO}x fact9: (x): {HB}x -> {HR}x fact10: {FB}{aa} -> {B}{aa} ; $hypothesis$ = ¬(¬{B}{aa} -> {C}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããã®ç¶²éã溶ãã»ãããšããããšããªããŠé»æ©åŽé£ã ãšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãã®ç¶²éã¯ããããããããšããããšãçå®ã ãšããããšã¯ãªã | ¬(¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}) | fact1: ãããäœããã»ã¬ã»ããžã¿ã«ã»ã³ãã¥ãã±ãŒã·ã§ã³ãºãæžéãŠããšããããšããªããŠããã¯é·åŽå€§åŠåã«ãããããããšããããšããªãããšããããšãæãç«ããªããªãã°ããã¯ã°ã足ãåšã°ã fact2: ãããäœãã¯çŒåŽã§ãªããããã¯ãšãŒãããªãããšããããšãæãç«ã€ãšããããšããªããªãã°ãããã¯äºäžæãæãããšããããšããªãããšããããšã誀ãã fact3: ããããã®ç¶²éã¯æº¶ãã»ãããªãããã°ããªãããšããããšã¯åœãªãã°ãããå²çŸ©ã fact4: ããããã®ç¶²éã¯ããããããªãããããé»æ©åŽé£ã ãšããããšããªãããšããããšãééããªãã°ãããã¯ããã£èŸãããšããããšãæãç«ã€ fact5: ããããã®è³¢æãç«ã¡å¯ãããšããããšããªããŠãŠãã³ãããšããããšããªãããšããããšã¯çå®ã ãšããããšã¯ãªããªãã°ããã¯æº¶ãã»ãã fact6: ãããäœãã¯æº¶ãã»ãããšããããšã¯ãªãããããããã¯é»æ©åŽé£ã ããšããããšãééããªãã°ããããããããããããšããããšãæ¬åœã fact7: ãããã®ç¶²éã溶ãã»ãããšããããšããªããé»æ©åŽé£ã§ãªããªãã°ããã¯ãããããã fact8: ãããããã®ã¯æº¶ãã»ãããšããããšã¯ãªããé»æ©åŽé£ã ãšããããšããªããªãã°ããããããããã fact9: ããããã®ç¶²éã溶ãã»ãããšããããšã¯ãªãããããé»æ©åŽé£ã ããšããããšã¯ééããªãã°ããããããããããããšããããšãééãã§ãªã fact10: ãããããã®ã溶ãã»ããã°ããããããããã fact11: ããããã®ç¶²éã¯é»æ©åŽé£ã ãšããããšããªããŠããã¯å èæ±éšã§ãªãããšããããšã誀ããªãã°ãããã²ãšããã fact12: ããããã®ç¶²éã溶ãã»ããããšããããšãæãç«ãŠã°ããã¯ãããããã | fact1: (x): ¬(¬{JD}x & ¬{BB}x) -> {M}x fact2: (x): ¬(¬{BO}x & ¬{O}x) -> {GC}x fact3: ¬(¬{AA}{aa} & ¬{EC}{aa}) -> {GI}{aa} fact4: ¬(¬{EK}{aa} & ¬{AB}{aa}) -> {HP}{aa} fact5: ¬(¬{DA}{hi} & ¬{BR}{hi}) -> {AA}{hi} fact6: (x): ¬(¬{AA}x & {AB}x) -> {B}x fact7: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa} fact8: (x): (¬{AA}x & ¬{AB}x) -> {B}x fact9: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa} fact10: (x): {AA}x -> {B}x fact11: ¬(¬{AB}{aa} & ¬{CP}{aa}) -> {EO}{aa} fact12: {AA}{aa} -> {B}{aa} | [] | [] | null | null | [] | null | 1 | null | 12 | 0 | 12 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããäœããã»ã¬ã»ããžã¿ã«ã»ã³ãã¥ãã±ãŒã·ã§ã³ãºãæžéãŠããšããããšããªããŠããã¯é·åŽå€§åŠåã«ãããããããšããããšããªãããšããããšãæãç«ããªããªãã°ããã¯ã°ã足ãåšã°ã fact2: ãããäœãã¯çŒåŽã§ãªããããã¯ãšãŒãããªãããšããããšãæãç«ã€ãšããããšããªããªãã°ãããã¯äºäžæãæãããšããããšããªãããšããããšã誀ãã fact3: ããããã®ç¶²éã¯æº¶ãã»ãããªãããã°ããªãããšããããšã¯åœãªãã°ãããå²çŸ©ã fact4: ããããã®ç¶²éã¯ããããããªãããããé»æ©åŽé£ã ãšããããšããªãããšããããšãééããªãã°ãããã¯ããã£èŸãããšããããšãæãç«ã€ fact5: ããããã®è³¢æãç«ã¡å¯ãããšããããšããªããŠãŠãã³ãããšããããšããªãããšããããšã¯çå®ã ãšããããšã¯ãªããªãã°ããã¯æº¶ãã»ãã fact6: ãããäœãã¯æº¶ãã»ãããšããããšã¯ãªãããããããã¯é»æ©åŽé£ã ããšããããšãééããªãã°ããããããããããããšããããšãæ¬åœã fact7: ãããã®ç¶²éã溶ãã»ãããšããããšããªããé»æ©åŽé£ã§ãªããªãã°ããã¯ãããããã fact8: ãããããã®ã¯æº¶ãã»ãããšããããšã¯ãªããé»æ©åŽé£ã ãšããããšããªããªãã°ããããããããã fact9: ããããã®ç¶²éã溶ãã»ãããšããããšã¯ãªãããããé»æ©åŽé£ã ããšããããšã¯ééããªãã°ããããããããããããšããããšãééãã§ãªã fact10: ãããããã®ã溶ãã»ããã°ããããããããã fact11: ããããã®ç¶²éã¯é»æ©åŽé£ã ãšããããšããªããŠããã¯å èæ±éšã§ãªãããšããããšã誀ããªãã°ãããã²ãšããã fact12: ããããã®ç¶²éã溶ãã»ããããšããããšãæãç«ãŠã°ããã¯ãããããã ; $hypothesis$ = ãããããã®ç¶²éã溶ãã»ãããšããããšããªããŠé»æ©åŽé£ã ãšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãã®ç¶²éã¯ããããããããšããããšãçå®ã ãšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{JD}x & ¬{BB}x) -> {M}x fact2: (x): ¬(¬{BO}x & ¬{O}x) -> {GC}x fact3: ¬(¬{AA}{aa} & ¬{EC}{aa}) -> {GI}{aa} fact4: ¬(¬{EK}{aa} & ¬{AB}{aa}) -> {HP}{aa} fact5: ¬(¬{DA}{hi} & ¬{BR}{hi}) -> {AA}{hi} fact6: (x): ¬(¬{AA}x & {AB}x) -> {B}x fact7: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa} fact8: (x): (¬{AA}x & ¬{AB}x) -> {B}x fact9: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa} fact10: (x): {AA}x -> {B}x fact11: ¬(¬{AB}{aa} & ¬{CP}{aa}) -> {EO}{aa} fact12: {AA}{aa} -> {B}{aa} ; $hypothesis$ = ¬(¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | èŠãæãã¯çããªã | ¬{A} | fact1: ããããã«ãããšããããšã¯çºçããªããªãã°èŠãæãã¯èµ·ãããªããããå£ãçºçããªã fact2: ãããäž»å¬ã¯èµ·ãããææ
¢åŒ·ããšããããšãçããããšããããšãäºå®ãšç°ãªãã°äž»å¬ã¯èµ·ãããªã fact3: èŠãæããçãã fact4: ããããæ¬éŠ¬è¶ãããšãããããšã¯çºçããããããèŠç¿ããçããªãããšããããšã¯æãç«ã€ããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°èŠç¿ãã¯çºçãã fact5: ããäž»å¬ãçºçããªããªãã°ããã£ã³ãã¯çãããè ç«å¯ºãçªé£ã°ãããšã¯èµ·ããããšããããšã¯åœã fact6: ããæã£ãšãæ©ããšããããšãèµ·ããªããªãã°ãæ¬éŠ¬è¶ãããšãããããšã¯èµ·ããããããèŠç¿ããèµ·ãããªãããšããããšã¯æãç«ã€ãšããããšããªã fact7: ãããèŠç¿ãã¯èµ·ããã°ããã«ãããšããããšãèµ·ããªããå«ç°ãã¬ããå»ããããšã¯èµ·ããªãããšããããšãééãã ãšããããšã¯ãªã fact8: ãããããã£ã³ãã¯çºçãããè ç«å¯ºãçªé£ã°ãããšãçããããšããããšã¯çå®ã ããšããããšãçå®ã ãšããããšã¯ãªããªãã°æã£ãšãæ©ããšããããšãçããªã fact9: æŽæ£ã¯èµ·ãã fact10: ããããå£ã¯èµ·ãããªããªãã°æšããšããããšãèµ·ãããèŠãæããèµ·ããªã | fact1: ¬{C} -> (¬{A} & ¬{B}) fact2: ¬({J} & {L}) -> ¬{J} fact3: {A} fact4: ¬({G} & ¬{E}) -> {E} fact5: ¬{J} -> ¬({H} & {I}) fact6: ¬{F} -> ¬({G} & ¬{E}) fact7: {E} -> (¬{C} & ¬{D}) fact8: ¬({H} & {I}) -> ¬{F} fact9: {O} fact10: ¬{B} -> ({CN} & ¬{A}) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | èŠãæãã¯çããªã | ¬{A} | [] | 12 | 1 | 0 | 9 | 0 | 9 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã«ãããšããããšã¯çºçããªããªãã°èŠãæãã¯èµ·ãããªããããå£ãçºçããªã fact2: ãããäž»å¬ã¯èµ·ãããææ
¢åŒ·ããšããããšãçããããšããããšãäºå®ãšç°ãªãã°äž»å¬ã¯èµ·ãããªã fact3: èŠãæããçãã fact4: ããããæ¬éŠ¬è¶ãããšãããããšã¯çºçããããããèŠç¿ããçããªãããšããããšã¯æãç«ã€ããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°èŠç¿ãã¯çºçãã fact5: ããäž»å¬ãçºçããªããªãã°ããã£ã³ãã¯çãããè ç«å¯ºãçªé£ã°ãããšã¯èµ·ããããšããããšã¯åœã fact6: ããæã£ãšãæ©ããšããããšãèµ·ããªããªãã°ãæ¬éŠ¬è¶ãããšãããããšã¯èµ·ããããããèŠç¿ããèµ·ãããªãããšããããšã¯æãç«ã€ãšããããšããªã fact7: ãããèŠç¿ãã¯èµ·ããã°ããã«ãããšããããšãèµ·ããªããå«ç°ãã¬ããå»ããããšã¯èµ·ããªãããšããããšãééãã ãšããããšã¯ãªã fact8: ãããããã£ã³ãã¯çºçãããè ç«å¯ºãçªé£ã°ãããšãçããããšããããšã¯çå®ã ããšããããšãçå®ã ãšããããšã¯ãªããªãã°æã£ãšãæ©ããšããããšãçããªã fact9: æŽæ£ã¯èµ·ãã fact10: ããããå£ã¯èµ·ãããªããªãã°æšããšããããšãèµ·ãããèŠãæããèµ·ããªã ; $hypothesis$ = èŠãæãã¯çããªã ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> (¬{A} & ¬{B}) fact2: ¬({J} & {L}) -> ¬{J} fact3: {A} fact4: ¬({G} & ¬{E}) -> {E} fact5: ¬{J} -> ¬({H} & {I}) fact6: ¬{F} -> ¬({G} & ¬{E}) fact7: {E} -> (¬{C} & ¬{D}) fact8: ¬({H} & {I}) -> ¬{F} fact9: {O} fact10: ¬{B} -> ({CN} & ¬{A}) ; $hypothesis$ = ¬{A} ; $proof$ = | fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¢ã«ããæœã£ãããšããããšã¯ãªããçŽèšãã®ãããšããããšããªã | (¬{AA}{b} & ¬{AB}{b}) | fact1: ãããã®ç³å·¥ããã®ããããããšããããšã¯ãªããªãã°ããã¯çœã£ãœããã®ã§ãã£ãŠå¥éã ãã® fact2: ããããã®ç³å·¥ã楜çŒãã§æãæŸã€ããšããããšã¯æãç«ã€ãšããããšããªããªãã°ãã®ã¢ã«ãã楜çŒãã§ãªã fact3: ããã®ã¢ã«ãã¯èŠç®å¥œããªããŠæ¶Œå³¶ã§ãªãããšããããšãæãç«ã€ãšããããšããªã fact4: ãããã®ç³å·¥ã¯çœã£ãœããªãã°ãããã®ã¢ã«ããæœã£ããããããçŽèšãã®ãããšããããšã¯ãªãããšããããšã¯åœã ããšããããšã¯æ£ãã fact5: ããäœãã楜çŒãã ãšããããšã¯ãªããªãã°ããã¯æ¡åã§ãããçã ãã fact6: ããäœãã¯å¥éã ãšããããšããªããªãã°ããã¯çœã£ãœããªããããããã®ããããã fact7: ãã®å€é£ã¯çœã£ãœã fact8: ããã®ã¢ã«ãã¯æ¶Œå³¶ã§ãªããçŽèšãã®ããªãããšããããšã¯çå®ã ãšããããšã¯ãªã fact9: æ¡åã¯å¥éã§ãªã fact10: çœã£ãœããªããã®ãæœã£ãããªããã®ã§ãã£ãŠçŽèšãã®ããªããã® fact11: ããã®ç³å·¥ãçœã£ãœãããšããããšã¯æ£ãã fact12: ããã®ç³å·¥ã¯æ¥œçŒãã§ãããæãæŸã€ããšããããšã¯çå®ã§ãªã fact13: ãã®ã¢ã«ããé¢å±±ã fact14: ãããã®ã¢ã«ãã¯çŽèšãã®ããã°ããã®ç³å·¥ãæœã£ãããšããããšããªããŠçœã£ãœããªãããšããããšãééãã fact15: ãããã®ç³å·¥ãçœã£ãœããªãã°ããã®ã¢ã«ããæœã£ãããªããããã¯çŽèšãã®ããªãããšããããšã¯æãç«ã€ãšããããšããªã fact16: ãããã®ã¢ã«ããæœã£ãããŠçŽèšãã®ããªãããšããããšãäºå®ãšç°ãªãããšããããšã¯æ£ãã fact17: ããã®ã¢ã«ããæœã£ãããªãããããçŽèšãã®ããããšããããšã¯åœã | fact1: ¬{B}{a} -> ({A}{a} & {C}{a}) fact2: ¬({F}{a} & {G}{a}) -> ¬{F}{b} fact3: ¬(¬{HG}{b} & ¬{GU}{b}) fact4: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact5: (x): ¬{F}x -> ({D}x v {E}x) fact6: (x): ¬{C}x -> (¬{A}x & {B}x) fact7: {A}{ft} fact8: ¬(¬{GU}{b} & ¬{AB}{b}) fact9: (x): {D}x -> ¬{C}x fact10: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact11: {A}{a} fact12: ¬({F}{a} & {G}{a}) fact13: {EK}{b} fact14: {AB}{b} -> ¬(¬{AA}{a} & ¬{A}{a}) fact15: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact16: ¬({AA}{b} & ¬{AB}{b}) fact17: ¬(¬{AA}{b} & {AB}{b}) | [
"fact15 & fact11 -> hypothesis;"
] | [
"fact15 & fact11 -> hypothesis;"
] | ãã®ã¢ã«ããæœã£ãããšããããšããªããããã¯çŽèšãã®ãããšããããšããªã | (¬{AA}{b} & ¬{AB}{b}) | [
"fact23 -> int1: ãããã®ã¢ã«ãã¯çœã£ãœããšããããšã¯ãªããªãã°ãããæœã£ãããªããããã¯çŽèšãã®ãããšããããšã¯ãªã; fact20 -> int2: ãããã®ã¢ã«ããå¥éã ãšããããšã¯ãªããªãã°ããã¯çœã£ãœããšããããšããªããããããã®ããããã; fact19 -> int3: ãããã®ã¢ã«ãã楜çŒãã ãšããããšã¯ãªããªãã°ãããæ¡åã ããããã¯çã ãããäž¡æ¹ã ; fact21 & fact18 -> int4: ãã®ã¢ã«ãã楜çŒãã§ãªã; int3 & int4 -> int5: ãã®ã¢ã«ããæ¡åã ããããã¯ãããçã ãã; fact22 -> int6: ããããã®ã¢ã«ãã¯æ¡åã ããšããããšã¯äºå®ãªãã°ããããå¥éã§ãªãããšããããšã¯æãç«ã€;"
] | 6 | 1 | 1 | 15 | 0 | 15 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ç³å·¥ããã®ããããããšããããšã¯ãªããªãã°ããã¯çœã£ãœããã®ã§ãã£ãŠå¥éã ãã® fact2: ããããã®ç³å·¥ã楜çŒãã§æãæŸã€ããšããããšã¯æãç«ã€ãšããããšããªããªãã°ãã®ã¢ã«ãã楜çŒãã§ãªã fact3: ããã®ã¢ã«ãã¯èŠç®å¥œããªããŠæ¶Œå³¶ã§ãªãããšããããšãæãç«ã€ãšããããšããªã fact4: ãããã®ç³å·¥ã¯çœã£ãœããªãã°ãããã®ã¢ã«ããæœã£ããããããçŽèšãã®ãããšããããšã¯ãªãããšããããšã¯åœã ããšããããšã¯æ£ãã fact5: ããäœãã楜çŒãã ãšããããšã¯ãªããªãã°ããã¯æ¡åã§ãããçã ãã fact6: ããäœãã¯å¥éã ãšããããšããªããªãã°ããã¯çœã£ãœããªããããããã®ããããã fact7: ãã®å€é£ã¯çœã£ãœã fact8: ããã®ã¢ã«ãã¯æ¶Œå³¶ã§ãªããçŽèšãã®ããªãããšããããšã¯çå®ã ãšããããšã¯ãªã fact9: æ¡åã¯å¥éã§ãªã fact10: çœã£ãœããªããã®ãæœã£ãããªããã®ã§ãã£ãŠçŽèšãã®ããªããã® fact11: ããã®ç³å·¥ãçœã£ãœãããšããããšã¯æ£ãã fact12: ããã®ç³å·¥ã¯æ¥œçŒãã§ãããæãæŸã€ããšããããšã¯çå®ã§ãªã fact13: ãã®ã¢ã«ããé¢å±±ã fact14: ãããã®ã¢ã«ãã¯çŽèšãã®ããã°ããã®ç³å·¥ãæœã£ãããšããããšããªããŠçœã£ãœããªãããšããããšãééãã fact15: ãããã®ç³å·¥ãçœã£ãœããªãã°ããã®ã¢ã«ããæœã£ãããªããããã¯çŽèšãã®ããªãããšããããšã¯æãç«ã€ãšããããšããªã fact16: ãããã®ã¢ã«ããæœã£ãããŠçŽèšãã®ããªãããšããããšãäºå®ãšç°ãªãããšããããšã¯æ£ãã fact17: ããã®ã¢ã«ããæœã£ãããªãããããçŽèšãã®ããããšããããšã¯åœã ; $hypothesis$ = ãã®ã¢ã«ããæœã£ãããšããããšã¯ãªããçŽèšãã®ãããšããããšããªã ; $proof$ = | fact15 & fact11 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B}{a} -> ({A}{a} & {C}{a}) fact2: ¬({F}{a} & {G}{a}) -> ¬{F}{b} fact3: ¬(¬{HG}{b} & ¬{GU}{b}) fact4: {A}{a} -> ¬({AA}{b} & ¬{AB}{b}) fact5: (x): ¬{F}x -> ({D}x v {E}x) fact6: (x): ¬{C}x -> (¬{A}x & {B}x) fact7: {A}{ft} fact8: ¬(¬{GU}{b} & ¬{AB}{b}) fact9: (x): {D}x -> ¬{C}x fact10: (x): ¬{A}x -> (¬{AA}x & ¬{AB}x) fact11: {A}{a} fact12: ¬({F}{a} & {G}{a}) fact13: {EK}{b} fact14: {AB}{b} -> ¬(¬{AA}{a} & ¬{A}{a}) fact15: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact16: ¬({AA}{b} & ¬{AB}{b}) fact17: ¬(¬{AA}{b} & {AB}{b}) ; $hypothesis$ = (¬{AA}{b} & ¬{AB}{b}) ; $proof$ = | fact15 & fact11 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã¿ã岩å©ã«ããŠã€ããªãããããããã¯çŸéã«ãã³ãããšããããšãæãç«ããªã | ¬(¬{AA}{aa} & {AB}{aa}) | fact1: ãããããã®ã¯æ»ãéãããšããããšããªããªãã°ããããå¢ããªãããããç¥å²¬ã ããšããããšã¯äºå®ã§ãªã | fact1: (x): ¬{A}x -> ¬(¬{G}x & {ET}x) | [] | [] | ããã¯å¢ããšããããšã¯ãªããŠç¥å²¬ã ãšãããã®ã¯ãªã | (x): ¬(¬{G}x & {ET}x) | [
"fact2 -> int1: ãããã®ãã¡ã¹ããŒã¯æ»ãéããªããªãã°ãããã¯å¢ããšããããšããªãããããç¥å²¬ã ããšããããšãäºå®ãšç°ãªã;"
] | 6 | 1 | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããã®ã¯æ»ãéãããšããããšããªããªãã°ããããå¢ããªãããããç¥å²¬ã ããšããããšã¯äºå®ã§ãªã ; $hypothesis$ = ããã®ãã¿ã岩å©ã«ããŠã€ããªãããããããã¯çŸéã«ãã³ãããšããããšãæãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{G}x & {ET}x) ; $hypothesis$ = ¬(¬{AA}{aa} & {AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã·ã¢ã«ã¯ãŒã«ãŒã¯é¹¿å
島信çšé庫ã | {A}{a} | fact1: çŸå³ããã®ã¯è¯ã
ãã fact2: ãããããã®ã¯è¯ã
ãããªãã°ããã鹿å
島信çšé庫ã fact3: ãã®ã€ãªã³ã鹿å
島信çšé庫ã fact4: ããäœãã¯è¯ã
ãããªãã°ãããã¯é¢šæµªã§ãªããããã¯é¹¿å
島信çšé庫ã ããšããããšãæãç«ããªã | fact1: (x): {D}x -> {B}x fact2: (x): {B}x -> {A}x fact3: {A}{be} fact4: (x): {B}x -> ¬(¬{C}x & {A}x) | [] | [] | ãã®ãœã·ã¢ã«ã¯ãŒã«ãŒã鹿å
島信çšé庫ã ãšããããšã¯ãªã | ¬{A}{a} | [
"fact6 -> int1: ããããã®æ¯ãè¯ã
ããããšããããšãæãç«ãŠã°ãããã¯é¢šæµªã ãšããããšã¯ãªããããã鹿å
島信çšé庫ã ããšããããšãåœã ; fact5 -> int2: ãããã®æ¯ã¯çŸå³ããªãã°ããã¯è¯ã
ãã;"
] | 5 | 1 | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: çŸå³ããã®ã¯è¯ã
ãã fact2: ãããããã®ã¯è¯ã
ãããªãã°ããã鹿å
島信çšé庫ã fact3: ãã®ã€ãªã³ã鹿å
島信çšé庫ã fact4: ããäœãã¯è¯ã
ãããªãã°ãããã¯é¢šæµªã§ãªããããã¯é¹¿å
島信çšé庫ã ããšããããšãæãç«ããªã ; $hypothesis$ = ãã®ãœã·ã¢ã«ã¯ãŒã«ãŒã¯é¹¿å
島信çšé庫ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {D}x -> {B}x fact2: (x): {B}x -> {A}x fact3: {A}{be} fact4: (x): {B}x -> ¬(¬{C}x & {A}x) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®é£ç³žã¯ååäºæ¡è¥¿ã§ãªããèã£ãœããªã | (¬{AA}{a} & ¬{AB}{a}) | fact1: ããããããã®ãæ·±ããªãããªããä»ããªãããšããããšãæãç«ããªããªãã°ãããèã£ãœããªã fact2: ãã®é£ç³žããªããä»ããªã fact3: ãããã®é£ç³žã¯ãªããä»ãããšããããšã¯ãªããªãã°ãããååäºæ¡è¥¿ã§ãªããèã£ãœããšããããšããªã | fact1: (x): ¬(¬{B}x & ¬{A}x) -> ¬{AB}x fact2: ¬{A}{a} fact3: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) | [
"fact3 & fact2 -> hypothesis;"
] | [
"fact3 & fact2 -> hypothesis;"
] | ãã®ã¢ã€ããªãŒãèã£ãœããªã | ¬{AB}{dd} | [
"fact4 -> int1: ããããã®ã¢ã€ããªãŒãæ·±ããšããããšã¯ãªãããªããä»ãããšããããšã¯ãªãããšããããšã¯èª€ããªãã°ããã¯èã£ãœããšããããšã¯ãªã;"
] | 4 | 1 | 1 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããããã®ãæ·±ããªãããªããä»ããªãããšããããšãæãç«ããªããªãã°ãããèã£ãœããªã fact2: ãã®é£ç³žããªããä»ããªã fact3: ãããã®é£ç³žã¯ãªããä»ãããšããããšã¯ãªããªãã°ãããååäºæ¡è¥¿ã§ãªããèã£ãœããšããããšããªã ; $hypothesis$ = ãã®é£ç³žã¯ååäºæ¡è¥¿ã§ãªããèã£ãœããªã ; $proof$ = | fact3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬(¬{B}x & ¬{A}x) -> ¬{AB}x fact2: ¬{A}{a} fact3: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) ; $hypothesis$ = (¬{AA}{a} & ¬{AB}{a}) ; $proof$ = | fact3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããããã®ç«å£ã¯ä¿¡è²©ã§ãã£ãŠäº¬éªé»æ°ééãªãã®ããšããããšã¯èª€ãã ãšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšã¯ãªãããšããããšã¯çå®ã | ¬({A}{aa} & {B}{aa}) | fact1: ãããããã®ããã³ãã ãããšããããšã¯ãªããªãã°ãããã信販ã ã京éªé»æ°ééã ããšããããšã¯åã fact2: ãã®èªèŽã¯ä¿¡è²©ã fact3: ãããã®ã¢ããŒãã¯è¡ç¡ããšããããšããªããªãã°ãã®ãã°ãè¡ç¡ã fact4: å
šãŠã®ãã®ã¯ä¿¡è²©ã ãããã¯äº¬éªé»æ°ééã fact5: è¡ç¡ããã®ã¯è²»ãããšããããšããªãããã³ãã ãããªã | fact1: (x): ¬{C}x -> ¬({A}x & {B}x) fact2: {A}{eg} fact3: ¬{D}{b} -> {D}{a} fact4: (x): ({A}x & {B}x) fact5: (x): {D}x -> (¬{E}x v ¬{C}x) | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ããã®ç«å£ã信販ã ã京éªé»æ°ééã ããšããããšã¯æãç«ããªã | ¬({A}{aa} & {B}{aa}) | [
"fact8 -> int1: ãããã®ç«å£ããã³ãã ãããªããªãã°ãããã信販ã§äº¬éªé»æ°ééã ããšããããšãåã ; fact7 -> int2: ãããã®ãã°ã¯è¡ç¡ããªãã°ãããè²»ãããšããããšã¯ãªããããã¯ãã³ãã ãããšããããšã¯ãªã;"
] | 6 | 1 | 1 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ããã³ãã ãããšããããšã¯ãªããªãã°ãããã信販ã ã京éªé»æ°ééã ããšããããšã¯åã fact2: ãã®èªèŽã¯ä¿¡è²©ã fact3: ãããã®ã¢ããŒãã¯è¡ç¡ããšããããšããªããªãã°ãã®ãã°ãè¡ç¡ã fact4: å
šãŠã®ãã®ã¯ä¿¡è²©ã ãããã¯äº¬éªé»æ°ééã fact5: è¡ç¡ããã®ã¯è²»ãããšããããšããªãããã³ãã ãããªã ; $hypothesis$ = ããããã®ç«å£ã¯ä¿¡è²©ã§ãã£ãŠäº¬éªé»æ°ééãªãã®ããšããããšã¯èª€ãã ãšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšã¯ãªãããšããããšã¯çå®ã ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> ¬({A}x & {B}x) fact2: {A}{eg} fact3: ¬{D}{b} -> {D}{a} fact4: (x): ({A}x & {B}x) fact5: (x): {D}x -> (¬{E}x v ¬{C}x) ; $hypothesis$ = ¬({A}{aa} & {B}{aa}) ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | èŠèŠãããšããããšãèµ·ãã | {A} | fact1: ãæ±æŽäžåç£ãåããããšãèµ·ããªãããšããããšããç®èŠãŸãããšããããšãšèŠèŠãããšããããšäž¡æ¹ã¯çããããšããããšããããã fact2: ãããããããããšããããšãèµ·ãããæŒãé²ããããšã¯èµ·ãããªãããšããããšãæãç«ããªãããšããããšã¯äºå®ãªãã°æ±æŽäžåç£ãåããããšã¯çããªã fact3: 米迫ã«æ£æ·ãããšã¯çãã fact4: ãèŠé²ã¯çºçããªãããšããããšã¯ãç¡ã£èŸããšããããšãšåãŒã£ãããšããããšäž¡æ¹ãçããããšããããšã«èµ·å ãã fact5: åæ·±ãåºãããšãçãã fact6: ãæãããããšããããšã¯çããããšããããšã¯çå®ã fact7: ãããæ±æŽäžåç£ãåããããšã¯èµ·ããªããŠãããããšããããšã¯èµ·ããããšããããšã¯åãªãã°èŠèŠãããšããããšãèµ·ãããªã fact8: éãçŠãçµãåºããããšãèµ·ãã fact9: ãæã¬ãããšããããšãçããããšããããšãæ¬åœã fact10: ãããé殺ãçºçããªãããããäž»å¬ã¯çºçããããšããããšãçå®ã ãšããããšã¯ãªããªãã°ãç¡ã£èŸããšããããšãçºçããããšããããšãæãç«ã€ fact11: ç£ã¯çºçãã fact12: åè·¯å·ã«ç¶°ããããšãèµ·ãã fact13: çå°Ÿæã«è«ãããããšãçºçãã fact14: ãç®èŠãŸãããšããããšã¯èµ·ããããšããããšã¯æ¬åœã fact15: ããèŠé²ã¯çºçããªããªãã°ããããããšããããšãèµ·ããããããæŒãé²ããããšãçºçããªãããšããããšã¯æãç«ã€ãšããããšããªã fact16: äžè±æš¹èãšã³ãžãã¢ãªã³ã°ãå·®ããããããšãèµ·ãã fact17: ãããããšããããšãèµ·ããªããšããããšããèŠèŠãããšããããšã¯çããªããæ±æŽäžåç£ãåããããšãçºçããããšããããšãåŒãèµ·ãã fact18: ã匱匱ãããšããããšã¯èµ·ããããšããããšã¯çå®ã | fact1: ¬{B} -> ({J} & {A}) fact2: ¬({C} & ¬{D}) -> ¬{B} fact3: {IR} fact4: ({G} & {F}) -> ¬{E} fact5: {BO} fact6: {DE} fact7: ¬(¬{B} & {C}) -> ¬{A} fact8: {IG} fact9: {AG} fact10: ¬(¬{I} & {H}) -> {G} fact11: {EC} fact12: {CK} fact13: {HI} fact14: {J} fact15: ¬{E} -> ¬({C} & ¬{D}) fact16: {IQ} fact17: ¬{C} -> (¬{A} & {B}) fact18: {CS} | [] | [] | èŠèŠãããšããããšã¯çããªã | ¬{A} | [] | 6 | 1 | null | 18 | 0 | 18 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãæ±æŽäžåç£ãåããããšãèµ·ããªãããšããããšããç®èŠãŸãããšããããšãšèŠèŠãããšããããšäž¡æ¹ã¯çããããšããããšããããã fact2: ãããããããããšããããšãèµ·ãããæŒãé²ããããšã¯èµ·ãããªãããšããããšãæãç«ããªãããšããããšã¯äºå®ãªãã°æ±æŽäžåç£ãåããããšã¯çããªã fact3: 米迫ã«æ£æ·ãããšã¯çãã fact4: ãèŠé²ã¯çºçããªãããšããããšã¯ãç¡ã£èŸããšããããšãšåãŒã£ãããšããããšäž¡æ¹ãçããããšããããšã«èµ·å ãã fact5: åæ·±ãåºãããšãçãã fact6: ãæãããããšããããšã¯çããããšããããšã¯çå®ã fact7: ãããæ±æŽäžåç£ãåããããšã¯èµ·ããªããŠãããããšããããšã¯èµ·ããããšããããšã¯åãªãã°èŠèŠãããšããããšãèµ·ãããªã fact8: éãçŠãçµãåºããããšãèµ·ãã fact9: ãæã¬ãããšããããšãçããããšããããšãæ¬åœã fact10: ãããé殺ãçºçããªãããããäž»å¬ã¯çºçããããšããããšãçå®ã ãšããããšã¯ãªããªãã°ãç¡ã£èŸããšããããšãçºçããããšããããšãæãç«ã€ fact11: ç£ã¯çºçãã fact12: åè·¯å·ã«ç¶°ããããšãèµ·ãã fact13: çå°Ÿæã«è«ãããããšãçºçãã fact14: ãç®èŠãŸãããšããããšã¯èµ·ããããšããããšã¯æ¬åœã fact15: ããèŠé²ã¯çºçããªããªãã°ããããããšããããšãèµ·ããããããæŒãé²ããããšãçºçããªãããšããããšã¯æãç«ã€ãšããããšããªã fact16: äžè±æš¹èãšã³ãžãã¢ãªã³ã°ãå·®ããããããšãèµ·ãã fact17: ãããããšããããšãèµ·ããªããšããããšããèŠèŠãããšããããšã¯çããªããæ±æŽäžåç£ãåããããšãçºçããããšããããšãåŒãèµ·ãã fact18: ã匱匱ãããšããããšã¯èµ·ããããšããããšã¯çå®ã ; $hypothesis$ = èŠèŠãããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({J} & {A}) fact2: ¬({C} & ¬{D}) -> ¬{B} fact3: {IR} fact4: ({G} & {F}) -> ¬{E} fact5: {BO} fact6: {DE} fact7: ¬(¬{B} & {C}) -> ¬{A} fact8: {IG} fact9: {AG} fact10: ¬(¬{I} & {H}) -> {G} fact11: {EC} fact12: {CK} fact13: {HI} fact14: {J} fact15: ¬{E} -> ¬({C} & ¬{D}) fact16: {IQ} fact17: ¬{C} -> (¬{A} & {B}) fact18: {CS} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®åãå€æã ãšããããšã¯ãªã | ¬{B}{a} | fact1: ãããããã®ã¯åšå®æŸå±±ã§ãªããªãã°ããã¯å€æã§ãããã¡ãã«éå·»ã fact2: ãããã®åããã¥ãŒãžãã¯ãããªã«ãµãã¹ãããããã¯ããã¯ãã¹ããããããããã¯äž¡æ¹ãªãã°ãã®æã¯åšå®æŸå±±ã ãšããããšããªã fact3: ãããã®åå€æšããã¥ãŒãžãã¯ãããªã«ãµãã¹ãã°ããã®åã¯åšå®æŸå±±ã ãããããããã¡ãã«éå·»ããšããããšããªãããšããããšãäºå®ãšç°ãªã fact4: ãã®ç©ºããã¡ãã«éå·»ã fact5: ãã®åãã¡ãã«éå·»ããå€æã fact6: ããããã®åå€æšã¯äžåå°ã«èªã¿åããªãããšããããšã¯æ£ãããªãã°ããã¯æ¬é¢ã«ãããªããªããŠããã¯ç°å¢ã«åŒããããšããããšããªã fact7: ãã®åã¯ã¡ãã«éå·»ã | fact1: (x): ¬{C}x -> ({B}x & {A}x) fact2: ({D}{a} v {E}{a}) -> ¬{C}{cd} fact3: {D}{b} -> ¬({C}{a} & ¬{A}{a}) fact4: {A}{en} fact5: ({A}{a} & {B}{a}) fact6: ¬{H}{b} -> (¬{G}{b} & ¬{F}{b}) fact7: {A}{a} | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ãã®æã¯ã¡ãã«éå·»ã | {A}{cd} | [
"fact8 -> int1: ãããã®æã¯åšå®æŸå±±ã ãšããããšã¯ãªããªãã°ããã¯å€æã ãã¡ãã«éå·»ã;"
] | 7 | 1 | 1 | 6 | 0 | 6 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ã¯åšå®æŸå±±ã§ãªããªãã°ããã¯å€æã§ãããã¡ãã«éå·»ã fact2: ãããã®åããã¥ãŒãžãã¯ãããªã«ãµãã¹ãããããã¯ããã¯ãã¹ããããããããã¯äž¡æ¹ãªãã°ãã®æã¯åšå®æŸå±±ã ãšããããšããªã fact3: ãããã®åå€æšããã¥ãŒãžãã¯ãããªã«ãµãã¹ãã°ããã®åã¯åšå®æŸå±±ã ãããããããã¡ãã«éå·»ããšããããšããªãããšããããšãäºå®ãšç°ãªã fact4: ãã®ç©ºããã¡ãã«éå·»ã fact5: ãã®åãã¡ãã«éå·»ããå€æã fact6: ããããã®åå€æšã¯äžåå°ã«èªã¿åããªãããšããããšã¯æ£ãããªãã°ããã¯æ¬é¢ã«ãããªããªããŠããã¯ç°å¢ã«åŒããããšããããšããªã fact7: ãã®åã¯ã¡ãã«éå·»ã ; $hypothesis$ = ãã®åãå€æã ãšããããšã¯ãªã ; $proof$ = | fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> ({B}x & {A}x) fact2: ({D}{a} v {E}{a}) -> ¬{C}{cd} fact3: {D}{b} -> ¬({C}{a} & ¬{A}{a}) fact4: {A}{en} fact5: ({A}{a} & {B}{a}) fact6: ¬{H}{b} -> (¬{G}{b} & ¬{F}{b}) fact7: {A}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãæªèãèµ·ãããªããããŸããšããããšãçºçããªãããšããããšãåã | ¬(¬{AA} & ¬{AB}) | fact1: ãããªãŒãã£ã·ã§ã³ã¯èµ·ããªããªãã°ãçŒèãšããããªããšããããšäž¡æ¹ã¯çºçããããšããããšãæãç«ã€ãšããããšã¯ãªã fact2: ãããçŒèãšããããªããšããããšã¯èµ·ããããšããããšã¯åœãªãã°çŒèã¯èµ·ããªã fact3: æç®ã¯èµ·ããªããæç¥åŠé¢å€§åŠã«å·®ãåãããšãèµ·ããªã fact4: ããçããããšãèµ·ããªããªãã°ããã£é
·ããšããããšã§ã¯ãªããªãŒãã£ã·ã§ã³ãçºçããããšããããšãåã fact5: ããããã£é
·ããšããããšã§ã¯ãªããªãŒãã£ã·ã§ã³ã¯çºçããããšããããšã¯ééããªãã°ãªãŒãã£ã·ã§ã³ã¯èµ·ãããªã fact6: é
絊ã¯çããªãããšã¯ã¹ãªããªã¹ã«èº«ãŸããããšãçããªã fact7: ã¿ã³ã¡ã³ã«ãã¡ç¶ãããšã¯èµ·ããªãã蟿ãã©ãããšããããšãçºçããªã fact8: ãæŒåãããšã¯çºçããªããèç°ã«å¯ãã€ããããšã¯èµ·ããªãããšããããšã¯åã ãšããããšããªã fact9: ã²ããç©ã«ã¯ããããããšã¯èµ·ãããªããŠãšãã©ãªããšããããšã¯çããªã fact10: äžåœã«é Œã¿ããããšãçããªããããããã£ãœããšããããšã¯çºçããªã fact11: éç¥ã飲ããããšã¯èµ·ãããªããŠããšããããããšããããšã¯èµ·ãããªã fact12: ãµããããããšã¯çºçããªããŠäŸãããšããããšãèµ·ãããªã fact13: ããæãªãããšã¯çºçããã°ãæªèã¯çºçããªããŠããŸããšããããšã¯èµ·ããªãããšããããšã¯ééãã fact14: ããçŒèã¯çããªããªãã°æãªãããšãšèæ°Žãããããããšãçãã fact15: åšç« ãçºçããªããŠããããã£ãœããšããããšã¯èµ·ãããªã fact16: ãããçããããšãšåœªã«ãããããããšã¯èµ·ããããšããããšã¯åãªãã°ãçããããšã¯çºçããªãããšããããšãæ£ãã fact17: ããŸããšããããšã¯çºçããªã fact18: æŒå¥ãçºçããªããŠããããã¶ãããšããããšã¯èµ·ãããªã | fact1: ¬{D} -> ¬({C} & {E}) fact2: ¬({C} & {E}) -> ¬{C} fact3: (¬{FI} & ¬{EE}) fact4: ¬{F} -> ¬(¬{G} & {D}) fact5: ¬(¬{G} & {D}) -> ¬{D} fact6: (¬{CO} & ¬{AH}) fact7: (¬{HI} & ¬{JE}) fact8: (¬{P} & ¬{FP}) fact9: (¬{BA} & ¬{EP}) fact10: (¬{CL} & ¬{GM}) fact11: (¬{AK} & ¬{BE}) fact12: (¬{HR} & ¬{GI}) fact13: {A} -> ¬(¬{AA} & ¬{AB}) fact14: ¬{C} -> ({A} & {B}) fact15: (¬{IF} & ¬{GM}) fact16: ¬({F} & {H}) -> ¬{F} fact17: ¬{AB} fact18: (¬{FL} & ¬{HO}) | [] | [] | ãæªèã¯çããªããããŸããšããããšã¯çããªãããšããããšã誀ãã | ¬(¬{AA} & ¬{AB}) | [] | 12 | 1 | null | 18 | 0 | 18 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããªãŒãã£ã·ã§ã³ã¯èµ·ããªããªãã°ãçŒèãšããããªããšããããšäž¡æ¹ã¯çºçããããšããããšãæãç«ã€ãšããããšã¯ãªã fact2: ãããçŒèãšããããªããšããããšã¯èµ·ããããšããããšã¯åœãªãã°çŒèã¯èµ·ããªã fact3: æç®ã¯èµ·ããªããæç¥åŠé¢å€§åŠã«å·®ãåãããšãèµ·ããªã fact4: ããçããããšãèµ·ããªããªãã°ããã£é
·ããšããããšã§ã¯ãªããªãŒãã£ã·ã§ã³ãçºçããããšããããšãåã fact5: ããããã£é
·ããšããããšã§ã¯ãªããªãŒãã£ã·ã§ã³ã¯çºçããããšããããšã¯ééããªãã°ãªãŒãã£ã·ã§ã³ã¯èµ·ãããªã fact6: é
絊ã¯çããªãããšã¯ã¹ãªããªã¹ã«èº«ãŸããããšãçããªã fact7: ã¿ã³ã¡ã³ã«ãã¡ç¶ãããšã¯èµ·ããªãã蟿ãã©ãããšããããšãçºçããªã fact8: ãæŒåãããšã¯çºçããªããèç°ã«å¯ãã€ããããšã¯èµ·ããªãããšããããšã¯åã ãšããããšããªã fact9: ã²ããç©ã«ã¯ããããããšã¯èµ·ãããªããŠãšãã©ãªããšããããšã¯çããªã fact10: äžåœã«é Œã¿ããããšãçããªããããããã£ãœããšããããšã¯çºçããªã fact11: éç¥ã飲ããããšã¯èµ·ãããªããŠããšããããããšããããšã¯èµ·ãããªã fact12: ãµããããããšã¯çºçããªããŠäŸãããšããããšãèµ·ãããªã fact13: ããæãªãããšã¯çºçããã°ãæªèã¯çºçããªããŠããŸããšããããšã¯èµ·ããªãããšããããšã¯ééãã fact14: ããçŒèã¯çããªããªãã°æãªãããšãšèæ°Žãããããããšãçãã fact15: åšç« ãçºçããªããŠããããã£ãœããšããããšã¯èµ·ãããªã fact16: ãããçããããšãšåœªã«ãããããããšã¯èµ·ããããšããããšã¯åãªãã°ãçããããšã¯çºçããªãããšããããšãæ£ãã fact17: ããŸããšããããšã¯çºçããªã fact18: æŒå¥ãçºçããªããŠããããã¶ãããšããããšã¯èµ·ãããªã ; $hypothesis$ = ãæªèãèµ·ãããªããããŸããšããããšãçºçããªãããšããããšãåã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{D} -> ¬({C} & {E}) fact2: ¬({C} & {E}) -> ¬{C} fact3: (¬{FI} & ¬{EE}) fact4: ¬{F} -> ¬(¬{G} & {D}) fact5: ¬(¬{G} & {D}) -> ¬{D} fact6: (¬{CO} & ¬{AH}) fact7: (¬{HI} & ¬{JE}) fact8: (¬{P} & ¬{FP}) fact9: (¬{BA} & ¬{EP}) fact10: (¬{CL} & ¬{GM}) fact11: (¬{AK} & ¬{BE}) fact12: (¬{HR} & ¬{GI}) fact13: {A} -> ¬(¬{AA} & ¬{AB}) fact14: ¬{C} -> ({A} & {B}) fact15: (¬{IF} & ¬{GM}) fact16: ¬({F} & {H}) -> ¬{F} fact17: ¬{AB} fact18: (¬{FL} & ¬{HO}) ; $hypothesis$ = ¬(¬{AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®çŽ°å·¥æã¯åæž¡ãã圫ã | {C}{c} | fact1: ãããããã®ãå®åãªãã°ããã¯ã¯ãããããšããããšããªããåæž¡ãã圫ã fact2: ããããã®æ¯ç¹»åã¯åµ¯å³šåºæ²¢ã§ãªããããããããã¯ããããã°ãã®ãã³ããŒã¬ãŒã¯ã¯ããããããšããããšãçå®ã fact3: ããããã®æ¯ç¹»åã¯ã¯ããããããšããããšãæãç«ãŠã°ãã®çŽ°å·¥æã¯åæž¡ãã圫ããšããããšããªã fact4: ãããã®ãã¹ã¯ãçæ©ç·ãªãã°ãããããããã湟ãæéãã fact5: ãããã®ãã¹ã¯ã¯é¯šåŽã ãšããããšããªããªãã°ããã¯åµ¯å³šåºæ²¢ã fact6: ãããã®ãã¹ã¯ã¯ããããã湟ãæéããããããã®ãããªããªãã°ãããã¯é¯šåŽã ããšããããšã¯äºå®ã fact7: ãããã®æ¯ç¹»åã¯å®åãªãã°ãã®çŽ°å·¥æãåæž¡ãã圫ããªã fact8: ãã®æ¯ç¹»åãå®åã§ããããããã¯ã¯ããããããããã¯äž¡æ¹ã fact9: ãããã®ãã¹ã¯ã¯ã¯ãããããšããããšããªãããããåæž¡ãã圫ãã°ãã®æ¯ç¹»åãåæž¡ãã圫ã fact10: ãããããã®ã¯ã¯ããããã°ããã¯ã¡ã£ãã fact11: ãããã®çŽ°å·¥æãå®åãªãã°ããã®æ¯ç¹»åã¯åæž¡ãã圫ãããšããããšã¯äºå®ã fact12: ãã®æ¯ç¹»åãæŸåžé«å±ã§ããããããã¯ã®ãã fact13: ãããã®ãã¹ã¯ã鯚åŽãªãã°ããã¯åµ¯å³šåºæ²¢ã ãåæž¡ãã圫ããšããããšããªã fact14: ãããã®æ¯ç¹»åã¯å®åãªãã°ãã®çŽ°å·¥æãåæž¡ãã圫ã fact15: ãããã®æ¯ç¹»åã¯åæž¡ãã圫ãã°ãã®çŽ°å·¥æã¯åæž¡ãã圫ã fact16: ããããã®æ¯ç¹»åãå®åã ãšããããšã¯ãªãããšããããšã¯çå®ãªãã°ãã®ãŠãœã¯æ¹¯åº§ã§ããããããã¯å€åãã®ãã | fact1: (x): {A}x -> (¬{B}x & {C}x) fact2: (¬{D}{a} & {B}{a}) -> {B}{hp} fact3: {B}{a} -> ¬{C}{c} fact4: {H}{b} -> {G}{b} fact5: ¬{E}{b} -> {D}{b} fact6: ({G}{b} & ¬{F}{b}) -> {E}{b} fact7: {A}{a} -> ¬{C}{c} fact8: ({A}{a} v {B}{a}) fact9: (¬{B}{b} & {C}{b}) -> {C}{a} fact10: (x): {B}x -> {AM}x fact11: {A}{c} -> {C}{a} fact12: ({FT}{a} v {F}{a}) fact13: {E}{b} -> ({D}{b} & ¬{C}{b}) fact14: {A}{a} -> {C}{c} fact15: {C}{a} -> {C}{c} fact16: ¬{A}{a} -> ({AI}{iu} v {GN}{iu}) | [
"fact8 & fact7 & fact3 -> hypothesis;"
] | [
"fact8 & fact7 & fact3 -> hypothesis;"
] | ããã®çŽ°å·¥æã¯åæž¡ãã圫ãããšããããšãæ¬åœã | {C}{c} | [] | 6 | 1 | 1 | 13 | 0 | 13 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããã®ãå®åãªãã°ããã¯ã¯ãããããšããããšããªããåæž¡ãã圫ã fact2: ããããã®æ¯ç¹»åã¯åµ¯å³šåºæ²¢ã§ãªããããããããã¯ããããã°ãã®ãã³ããŒã¬ãŒã¯ã¯ããããããšããããšãçå®ã fact3: ããããã®æ¯ç¹»åã¯ã¯ããããããšããããšãæãç«ãŠã°ãã®çŽ°å·¥æã¯åæž¡ãã圫ããšããããšããªã fact4: ãããã®ãã¹ã¯ãçæ©ç·ãªãã°ãããããããã湟ãæéãã fact5: ãããã®ãã¹ã¯ã¯é¯šåŽã ãšããããšããªããªãã°ããã¯åµ¯å³šåºæ²¢ã fact6: ãããã®ãã¹ã¯ã¯ããããã湟ãæéããããããã®ãããªããªãã°ãããã¯é¯šåŽã ããšããããšã¯äºå®ã fact7: ãããã®æ¯ç¹»åã¯å®åãªãã°ãã®çŽ°å·¥æãåæž¡ãã圫ããªã fact8: ãã®æ¯ç¹»åãå®åã§ããããããã¯ã¯ããããããããã¯äž¡æ¹ã fact9: ãããã®ãã¹ã¯ã¯ã¯ãããããšããããšããªãããããåæž¡ãã圫ãã°ãã®æ¯ç¹»åãåæž¡ãã圫ã fact10: ãããããã®ã¯ã¯ããããã°ããã¯ã¡ã£ãã fact11: ãããã®çŽ°å·¥æãå®åãªãã°ããã®æ¯ç¹»åã¯åæž¡ãã圫ãããšããããšã¯äºå®ã fact12: ãã®æ¯ç¹»åãæŸåžé«å±ã§ããããããã¯ã®ãã fact13: ãããã®ãã¹ã¯ã鯚åŽãªãã°ããã¯åµ¯å³šåºæ²¢ã ãåæž¡ãã圫ããšããããšããªã fact14: ãããã®æ¯ç¹»åã¯å®åãªãã°ãã®çŽ°å·¥æãåæž¡ãã圫ã fact15: ãããã®æ¯ç¹»åã¯åæž¡ãã圫ãã°ãã®çŽ°å·¥æã¯åæž¡ãã圫ã fact16: ããããã®æ¯ç¹»åãå®åã ãšããããšã¯ãªãããšããããšã¯çå®ãªãã°ãã®ãŠãœã¯æ¹¯åº§ã§ããããããã¯å€åãã®ãã ; $hypothesis$ = ãã®çŽ°å·¥æã¯åæž¡ãã圫ã ; $proof$ = | fact8 & fact7 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> (¬{B}x & {C}x) fact2: (¬{D}{a} & {B}{a}) -> {B}{hp} fact3: {B}{a} -> ¬{C}{c} fact4: {H}{b} -> {G}{b} fact5: ¬{E}{b} -> {D}{b} fact6: ({G}{b} & ¬{F}{b}) -> {E}{b} fact7: {A}{a} -> ¬{C}{c} fact8: ({A}{a} v {B}{a}) fact9: (¬{B}{b} & {C}{b}) -> {C}{a} fact10: (x): {B}x -> {AM}x fact11: {A}{c} -> {C}{a} fact12: ({FT}{a} v {F}{a}) fact13: {E}{b} -> ({D}{b} & ¬{C}{b}) fact14: {A}{a} -> {C}{c} fact15: {C}{a} -> {C}{c} fact16: ¬{A}{a} -> ({AI}{iu} v {GN}{iu}) ; $hypothesis$ = {C}{c} ; $proof$ = | fact8 & fact7 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã¢ã©ããã¯ãã©ããªããšããããšã¯ãªããããããã¶ããããšããããšãééãã | ¬(¬{A}{a} & {B}{a}) | fact1: ãããã¡ããã¥ãããšããããšã¯ãªãããã®ã¯ããã°ãã®ã¿ã©ãåäœå€§æŽ¥ã ãšããããšããªããããããã€ã¶ãã fact2: ãããã®é ¬çŽ
ããããããªãã°ãã®ã¿ã©ã¯ãããã fact3: ããããã®ã¢ã©ããããã¶ãããªããã®ã§ãã£ãŠãã©ããªããã®ããšããããšãåãªãã°ããã®ãªãŒããŒã¯ãã¶ãããªãããšããããšã¯æ¬åœã fact4: ãã®é ¬çŽ
ãè«žè«žãéããããã¯å¹³éäžå·åã fact5: ãã®ã¢ã©ãããåäžæ¡ã«å¯ãšãŒãããšããããšã¯ãªãããããããã¯éŠ³äžãã fact6: ããå¹³éäžå·åã¯ç©ºãããããªãã°ãããã¡ããã¥ãããšããããšã¯ãªã fact7: ãã®é ¬çŽ
ã空ãããã fact8: ããããã®ã¿ã©ã¯ããããããšããããšã¯ééãã ãšããããšã¯ãªããªãã°ããããã©ããªããšããããšã¯ãªã fact9: ããã®ã¢ã©ããã¯ãã¶ããããšããããšãäºå®ã fact10: ãã®ã¢ã©ããã¯åæã ãšããããšã¯ãªãããããããå¯ã fact11: ãããããã®ã¯ãããããªãã°ãããã¯ãã©ããªããšããããšã¯ãªãããã¶ããããšããããšãæãç«ã€ãšããããšã¯ãªã | fact1: (x): ¬{F}x -> (¬{E}{b} & {D}{b}) fact2: {C}{c} -> {C}{b} fact3: ¬(¬{B}{a} & {A}{a}) -> ¬{B}{f} fact4: ({I}{c} & {H}{c}) fact5: (¬{JH}{a} & {HH}{a}) fact6: (x): ({H}x & {G}x) -> ¬{F}x fact7: {G}{c} fact8: {C}{b} -> ¬{A}{b} fact9: {B}{a} fact10: (¬{ID}{a} & {JK}{a}) fact11: (x): {C}x -> ¬(¬{A}x & {B}x) | [] | [] | ãã®ãªãŒããŒã¯ãã¶ãããšããããšã¯ãªã | ¬{B}{f} | [] | 8 | 1 | null | 10 | 0 | 10 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã¡ããã¥ãããšããããšã¯ãªãããã®ã¯ããã°ãã®ã¿ã©ãåäœå€§æŽ¥ã ãšããããšããªããããããã€ã¶ãã fact2: ãããã®é ¬çŽ
ããããããªãã°ãã®ã¿ã©ã¯ãããã fact3: ããããã®ã¢ã©ããããã¶ãããªããã®ã§ãã£ãŠãã©ããªããã®ããšããããšãåãªãã°ããã®ãªãŒããŒã¯ãã¶ãããªãããšããããšã¯æ¬åœã fact4: ãã®é ¬çŽ
ãè«žè«žãéããããã¯å¹³éäžå·åã fact5: ãã®ã¢ã©ãããåäžæ¡ã«å¯ãšãŒãããšããããšã¯ãªãããããããã¯éŠ³äžãã fact6: ããå¹³éäžå·åã¯ç©ºãããããªãã°ãããã¡ããã¥ãããšããããšã¯ãªã fact7: ãã®é ¬çŽ
ã空ãããã fact8: ããããã®ã¿ã©ã¯ããããããšããããšã¯ééãã ãšããããšã¯ãªããªãã°ããããã©ããªããšããããšã¯ãªã fact9: ããã®ã¢ã©ããã¯ãã¶ããããšããããšãäºå®ã fact10: ãã®ã¢ã©ããã¯åæã ãšããããšã¯ãªãããããããå¯ã fact11: ãããããã®ã¯ãããããªãã°ãããã¯ãã©ããªããšããããšã¯ãªãããã¶ããããšããããšãæãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ããã®ã¢ã©ããã¯ãã©ããªããšããããšã¯ãªããããããã¶ããããšããããšãééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{F}x -> (¬{E}{b} & {D}{b}) fact2: {C}{c} -> {C}{b} fact3: ¬(¬{B}{a} & {A}{a}) -> ¬{B}{f} fact4: ({I}{c} & {H}{c}) fact5: (¬{JH}{a} & {HH}{a}) fact6: (x): ({H}x & {G}x) -> ¬{F}x fact7: {G}{c} fact8: {C}{b} -> ¬{A}{b} fact9: {B}{a} fact10: (¬{ID}{a} & {JK}{a}) fact11: (x): {C}x -> ¬(¬{A}x & {B}x) ; $hypothesis$ = ¬(¬{A}{a} & {B}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | æèµãèµ·ãã | {B} | fact1: ãã¡ããã¡ãããããããšããããšãçºçããªãããããããšããããšã¯çºçããªãããšããããšã¯æèµãçºçãããšããããšã«èµ·å ãã fact2: ãããã»ãã£ãœããšããããšãèµ·ãããªããåäŒæ³å¯ºã«ãããããšãçããããšããããšã¯æ£ãããªããªãã°æèµã¯çããªã fact3: ãã»ãã£ãœããšããããšã§ã¯ãªãåäŒæ³å¯ºã«ãããããšã¯çºçããããšããããšãæãç«ã€ãšããããšããªã fact4: ãã»ãã£ãœããšããããšãšåäŒæ³å¯ºã«ãããããšäž¡æ¹ãçºçããããšããããšãåã | fact1: {B} -> (¬{A} & ¬{IL}) fact2: ¬(¬{AA} & {AB}) -> ¬{B} fact3: ¬(¬{AA} & {AB}) fact4: ¬({AA} & {AB}) | [
"fact2 & fact3 -> hypothesis;"
] | [
"fact2 & fact3 -> hypothesis;"
] | ãããããšããããšãèµ·ãããªã | ¬{IL} | [] | 6 | 1 | 1 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¡ããã¡ãããããããšããããšãçºçããªãããããããšããããšã¯çºçããªãããšããããšã¯æèµãçºçãããšããããšã«èµ·å ãã fact2: ãããã»ãã£ãœããšããããšãèµ·ãããªããåäŒæ³å¯ºã«ãããããšãçããããšããããšã¯æ£ãããªããªãã°æèµã¯çããªã fact3: ãã»ãã£ãœããšããããšã§ã¯ãªãåäŒæ³å¯ºã«ãããããšã¯çºçããããšããããšãæãç«ã€ãšããããšããªã fact4: ãã»ãã£ãœããšããããšãšåäŒæ³å¯ºã«ãããããšäž¡æ¹ãçºçããããšããããšãåã ; $hypothesis$ = æèµãèµ·ãã ; $proof$ = | fact2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} -> (¬{A} & ¬{IL}) fact2: ¬(¬{AA} & {AB}) -> ¬{B} fact3: ¬(¬{AA} & {AB}) fact4: ¬({AA} & {AB}) ; $hypothesis$ = {B} ; $proof$ = | fact2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®é æ¹ã¯çŽ ã°ãããšããããšã¯ãªã | ¬{B}{a} | fact1: ãã®é æ¹ã¯æããããšããããšã¯ãªã fact2: ãããã®å±éªžãå®å¿ã ãšããããšããªããªãã°ãããäžããªããªã fact3: ãããããã®é æ¹ãæ°æ³¢ãéããšããããšããªãããšããããšãçå®ãªãã°ãã®é æ¹ããšã¹ããŒååŠã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ fact4: ãã®é æ¹ã¯åæ²»ã§ãªã fact5: ãã®æ¯ãèãå®å¿ã§ãªã fact6: ãããã®ã¢ã«ãã€ããçŠãŸããã ãšããããšã¯ãªããªãã°ãããåºé£ãããªã fact7: ããããã®æåãåœç¶ã ããšããããšãäºå®ãªãã°ãããåæ²»ã fact8: ããããã®é æ¹ãå®å¿ã§ãªãããšããããšã¯æ£ãããªãã°ããã¯çŽ ã°ãããªã fact9: ãã®ã·ããŠãã¯ããã§ãããªããããã¯ããããããšããããšããªã fact10: ãããã®é æ¹ãçããããããšããããšã¯ãªããªãã°ãããå®å¿ã§ãªã fact11: ããã®é æ¹ããã£ãã¡ã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ | fact1: ¬{BQ}{a} fact2: ¬{A}{io} -> ¬{JK}{io} fact3: ¬{IT}{a} -> ¬{T}{a} fact4: ¬{D}{a} fact5: ¬{A}{ce} fact6: ¬{HU}{jj} -> ¬{CD}{jj} fact7: {E}{c} -> {D}{c} fact8: ¬{A}{a} -> ¬{B}{a} fact9: (¬{F}{d} & ¬{G}{d}) fact10: ¬{Q}{a} -> ¬{A}{a} fact11: ¬{BU}{a} | [] | [] | ãã®é æ¹ã¯çŽ ã°ãã | {B}{a} | [
"fact12 -> int1: ãããã§ãããªãããããããªãããã®ã¯ãã;"
] | 7 | 1 | null | 10 | 0 | 10 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®é æ¹ã¯æããããšããããšã¯ãªã fact2: ãããã®å±éªžãå®å¿ã ãšããããšããªããªãã°ãããäžããªããªã fact3: ãããããã®é æ¹ãæ°æ³¢ãéããšããããšããªãããšããããšãçå®ãªãã°ãã®é æ¹ããšã¹ããŒååŠã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ fact4: ãã®é æ¹ã¯åæ²»ã§ãªã fact5: ãã®æ¯ãèãå®å¿ã§ãªã fact6: ãããã®ã¢ã«ãã€ããçŠãŸããã ãšããããšã¯ãªããªãã°ãããåºé£ãããªã fact7: ããããã®æåãåœç¶ã ããšããããšãäºå®ãªãã°ãããåæ²»ã fact8: ããããã®é æ¹ãå®å¿ã§ãªãããšããããšã¯æ£ãããªãã°ããã¯çŽ ã°ãããªã fact9: ãã®ã·ããŠãã¯ããã§ãããªããããã¯ããããããšããããšããªã fact10: ãããã®é æ¹ãçããããããšããããšã¯ãªããªãã°ãããå®å¿ã§ãªã fact11: ããã®é æ¹ããã£ãã¡ã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®é æ¹ã¯çŽ ã°ãããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{BQ}{a} fact2: ¬{A}{io} -> ¬{JK}{io} fact3: ¬{IT}{a} -> ¬{T}{a} fact4: ¬{D}{a} fact5: ¬{A}{ce} fact6: ¬{HU}{jj} -> ¬{CD}{jj} fact7: {E}{c} -> {D}{c} fact8: ¬{A}{a} -> ¬{B}{a} fact9: (¬{F}{d} & ¬{G}{d}) fact10: ¬{Q}{a} -> ¬{A}{a} fact11: ¬{BU}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ä¹
ç¥æ²³å
ããããããããšãçããªã | ¬{B} | fact1: ããã足æ¢ããçºçããããšããããšãæ¬åœãªãã°ãµãããããšããããšãèµ·ããªããã²ãšãããšããããšã¯èµ·ãã fact2: ããã£ã©ãã³ãçããªãããã¡ããããšã¯èµ·ããããšããããšã¯èª€ãã fact3: ããæ°Žèæ³ã¯èµ·ãããªãããããã¯å
žçãèµ·ãããªããªãã°å¹
è·³ã³ã¯èµ·ããªã fact4: ããä¹
ç¥æ²³å
ããããããããšã¯èµ·ããªããåçãèµ·ããããããã¯äž¡æ¹ãªãã°ä¹
ç¥æ²³å
ããããããããšã¯èµ·ãããªã fact5: ããã£ã©ãã³ãçããªããŠå¥³ããããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã fact6: ãããããããªããšããããšã¯èµ·ããªããŠãããããããšããããšãçããªããªãã°ãããããããããšããããšã¯çºçããªã fact7: ãçŸã³ãããšããããšã¯èµ·ããªãããã£ããªããšããããšã¯èµ·ããªãããšããããšãæãç«ã€ãšããããšããªã fact8: ããµãããããšããããšãçããªãããšããããšãããªãããšããããšã¯èµ·ããªãããšããããšãçãããã fact9: ãããæããšç§ããããšäž¡æ¹ã¯çºçããããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°æãã¯çããªã fact10: ãæ°Žèæ³ã¯çºçããªãããããã¯å
žçãèµ·ãããªãããšããããšã¯ç¡ããšããããšã¯èµ·ãããšããããšã«ç±æ¥ãã fact11: ã貞ãã¯èµ·ããªãããšããããšã¯æ£ãã fact12: ããããçŸã³ãããšããããšãèµ·ããªãããã£ããªããšããããšãèµ·ããªãããšããããšã誀ãã ããšããããšã¯æãç«ãŠã°ä¹
ç¥æ²³å
ããããããããšãèµ·ãã fact13: ããæãã¯èµ·ããªããŠä¹èŠã¯çããã°è¶³æ¢ããçãã fact14: ãçŸã³ãããšããããšã¯èµ·ããªããŠãã£ããªããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact15: ãããªãããšããããšã¯èµ·ããªããªãã°ç¡ããšããããšãšåµäœäž¡æ¹ãèµ·ãã fact16: ããå¹
è·³ã³ã¯çããªããªãã°ãããããªããšããããšãèµ·ããªããŠãããããããšããããšã¯çããªã fact17: ãåçã¯çãããæèšãçºçããããšããããšããããããããããšããããšã¯çºçããªããšããããšã«ããçºçãã fact18: ãè¹ã¯èµ·ããªããããããããšããããšã¯èµ·ããããšããããšã¯æãç«ããªã fact19: ãä¹èŠãšããšãŸãããšããããšäž¡æ¹ãçºçããããšããããšã¯ã劬ãŸãããšããããšãèµ·ããªãããšããããšã«èªçºããã fact20: ããã貞ããçºçããªãããšããããšãçå®ãªãã°ãæãã¯çãããç§ããããšã¯èµ·ããããšããããšãæãç«ããªã | fact1: {O} -> (¬{M} & {N}) fact2: ¬(¬{CR} & {BC}) fact3: (¬{H} v ¬{I}) -> ¬{G} fact4: (¬{B} v {A}) -> ¬{B} fact5: ¬(¬{CR} & ¬{FA}) fact6: (¬{E} & ¬{F}) -> ¬{D} fact7: ¬(¬{AA} & ¬{AB}) fact8: ¬{M} -> ¬{L} fact9: ¬({P} & {T}) -> ¬{P} fact10: {J} -> (¬{H} v ¬{I}) fact11: ¬{U} fact12: ¬(¬{AA} & ¬{AB}) -> {B} fact13: (¬{P} & {Q}) -> {O} fact14: ¬(¬{AA} & {AB}) fact15: ¬{L} -> ({J} & {K}) fact16: ¬{G} -> (¬{E} & ¬{F}) fact17: ¬{D} -> ({A} & {C}) fact18: ¬(¬{AT} & {IB}) fact19: ¬{S} -> ({Q} & {R}) fact20: ¬{U} -> ¬({P} & {T}) | [
"fact12 & fact7 -> hypothesis;"
] | [
"fact12 & fact7 -> hypothesis;"
] | ä¹
ç¥æ²³å
ããããããããšã¯èµ·ããªã | ¬{B} | [
"fact26 & fact29 -> int1: ãæããçºçãããç§ããããšã¯èµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã; fact31 & int1 -> int2: æãã¯èµ·ããªã;"
] | 17 | 1 | 1 | 18 | 0 | 18 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã足æ¢ããçºçããããšããããšãæ¬åœãªãã°ãµãããããšããããšãèµ·ããªããã²ãšãããšããããšã¯èµ·ãã fact2: ããã£ã©ãã³ãçããªãããã¡ããããšã¯èµ·ããããšããããšã¯èª€ãã fact3: ããæ°Žèæ³ã¯èµ·ãããªãããããã¯å
žçãèµ·ãããªããªãã°å¹
è·³ã³ã¯èµ·ããªã fact4: ããä¹
ç¥æ²³å
ããããããããšã¯èµ·ããªããåçãèµ·ããããããã¯äž¡æ¹ãªãã°ä¹
ç¥æ²³å
ããããããããšã¯èµ·ãããªã fact5: ããã£ã©ãã³ãçããªããŠå¥³ããããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ãšç°ãªã fact6: ãããããããªããšããããšã¯èµ·ããªããŠãããããããšããããšãçããªããªãã°ãããããããããšããããšã¯çºçããªã fact7: ãçŸã³ãããšããããšã¯èµ·ããªãããã£ããªããšããããšã¯èµ·ããªãããšããããšãæãç«ã€ãšããããšããªã fact8: ããµãããããšããããšãçããªãããšããããšãããªãããšããããšã¯èµ·ããªãããšããããšãçãããã fact9: ãããæããšç§ããããšäž¡æ¹ã¯çºçããããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°æãã¯çããªã fact10: ãæ°Žèæ³ã¯çºçããªãããããã¯å
žçãèµ·ãããªãããšããããšã¯ç¡ããšããããšã¯èµ·ãããšããããšã«ç±æ¥ãã fact11: ã貞ãã¯èµ·ããªãããšããããšã¯æ£ãã fact12: ããããçŸã³ãããšããããšãèµ·ããªãããã£ããªããšããããšãèµ·ããªãããšããããšã誀ãã ããšããããšã¯æãç«ãŠã°ä¹
ç¥æ²³å
ããããããããšãèµ·ãã fact13: ããæãã¯èµ·ããªããŠä¹èŠã¯çããã°è¶³æ¢ããçãã fact14: ãçŸã³ãããšããããšã¯èµ·ããªããŠãã£ããªããšããããšãèµ·ããããšããããšã¯æãç«ããªã fact15: ãããªãããšããããšã¯èµ·ããªããªãã°ç¡ããšããããšãšåµäœäž¡æ¹ãèµ·ãã fact16: ããå¹
è·³ã³ã¯çããªããªãã°ãããããªããšããããšãèµ·ããªããŠãããããããšããããšã¯çããªã fact17: ãåçã¯çãããæèšãçºçããããšããããšããããããããããšããããšã¯çºçããªããšããããšã«ããçºçãã fact18: ãè¹ã¯èµ·ããªããããããããšããããšã¯èµ·ããããšããããšã¯æãç«ããªã fact19: ãä¹èŠãšããšãŸãããšããããšäž¡æ¹ãçºçããããšããããšã¯ã劬ãŸãããšããããšãèµ·ããªãããšããããšã«èªçºããã fact20: ããã貞ããçºçããªãããšããããšãçå®ãªãã°ãæãã¯çãããç§ããããšã¯èµ·ããããšããããšãæãç«ããªã ; $hypothesis$ = ä¹
ç¥æ²³å
ããããããããšãçããªã ; $proof$ = | fact12 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {O} -> (¬{M} & {N}) fact2: ¬(¬{CR} & {BC}) fact3: (¬{H} v ¬{I}) -> ¬{G} fact4: (¬{B} v {A}) -> ¬{B} fact5: ¬(¬{CR} & ¬{FA}) fact6: (¬{E} & ¬{F}) -> ¬{D} fact7: ¬(¬{AA} & ¬{AB}) fact8: ¬{M} -> ¬{L} fact9: ¬({P} & {T}) -> ¬{P} fact10: {J} -> (¬{H} v ¬{I}) fact11: ¬{U} fact12: ¬(¬{AA} & ¬{AB}) -> {B} fact13: (¬{P} & {Q}) -> {O} fact14: ¬(¬{AA} & {AB}) fact15: ¬{L} -> ({J} & {K}) fact16: ¬{G} -> (¬{E} & ¬{F}) fact17: ¬{D} -> ({A} & {C}) fact18: ¬(¬{AT} & {IB}) fact19: ¬{S} -> ({Q} & {R}) fact20: ¬{U} -> ¬({P} & {T}) ; $hypothesis$ = ¬{B} ; $proof$ = | fact12 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ããããŒãããšããããšã¯èµ·ããªã | ¬{B} | fact1: ã¿ããããŸãããšããããšãšããããŒãããšããããšäž¡æ¹ãçãã | fact1: ({A} & {B}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã¿ããããŸãããšããããšãšããããŒãããšããããšäž¡æ¹ãçãã ; $hypothesis$ = ããããŒãããšããããšã¯èµ·ããªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) ; $hypothesis$ = ¬{B} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®ããã©ã«ã蟰ç·ã話ãåããªãããšããããšãçå®ãªãã°ããã蹎çã§ããããããåŸé£ãããããã¯äž¡æ¹ã | ¬{A}{aa} -> ({AA}{aa} v {AB}{aa}) | fact1: ãããã®ããã©ã«ã¯éºãããªãã°ããã¯èŸ°ç·ã話ãåãããããã¯å°å¹ã«æ§ãããäž¡æ¹ã fact2: åŸé£ããšããããšããªããã®ãã²ãããããããã¯æã®å
ã fact3: ããäœãã蟰ç·ã話ãåããã°ããã蹎çã§ããããããã¯ããã¯åŸé£ã fact4: ãããã®ããã©ã«ã¯ç¥å±
äºæ¡ãªãã°ããã¯è¯å¥ã«ãããããããããã¯ãããã fact5: ãããã£ãããã®ã¯äžè°·å
ã«ãããã€ãããéé£ãäžä»²ã§ãããäž¡æ¹ã fact6: ããããã®ããã©ã«ã¯èžèŠãããªãããšããããšãæãç«ãŠã°ããã¯è¡ããæ¢
ã±ç西ãçã匵ãåã fact7: ãããããã®ã¯å
¥å
å·ã ãšããããšããªããªãã°ããã足æå³ ã«æããããããããã¯è¯å¥ã«ããããããäž¡æ¹ã fact8: ããããã®ã©ã€ã ããããããããšããããšã¯äºå®ãªãã°ããã¯è¹Žçã§ããããããã¯åãªãããããã¯äž¡æ¹ã fact9: ãããã®ãããã¯è¹Žçã ãšããããšã¯ãªããªãã°ããã¯å¿èš±ãªãããããã¯ãããæ ãã°ããã fact10: ãããã®ããã©ã«ã¯èŸ°ç·ã話ãåããã°ããã蹎çã§ããããããåŸé£ããäž¡æ¹ã fact11: ããäœãã¯å°çè°·ãæ
Žãããšããããšããªããªãã°ãããæããããããå°æèŠãæèœãšãããäž¡æ¹ã fact12: ããäœããçŒäº¡ã ãšããããšã¯ãªããªãã°ããã¯éæŸãçžæ¬¡ããåããäž¡æ¹ã fact13: ãããããã®ãå¿ããªããšããããšã¯ãªããªãã°ãããã¯å段åã«æå¯ããããããã¯å
çŽã§ããããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ fact14: ããäœãããããã ãšããããšããªããªãã°ããã¯ãããœã§ããããããããããããäž¡æ¹ã fact15: ãããã®åªè¯ãæãåããªããªãã°ããã¯åè¡ç€Ÿã§ããã倪平æŽæµ·éã«ã¯ãããã fact16: æ·¡ããã®ã倧人ããããããã¯çŸã³ãã fact17: é¡è© ããã€ãã€ãè© ãããè§ãã©ãã | fact1: {FD}{aa} -> ({A}{aa} v {DD}{aa}) fact2: (x): ¬{AB}x -> ({GH}x v {BG}x) fact3: (x): {A}x -> ({AA}x v {AB}x) fact4: {AK}{aa} -> ({FE}{aa} v {DP}{aa}) fact5: (x): {JA}x -> ({EE}x v {GE}x) fact6: ¬{FC}{aa} -> ({JB}{aa} v {DE}{aa}) fact7: (x): ¬{II}x -> ({BT}x v {FE}x) fact8: {GA}{el} -> ({AA}{el} v {GQ}{el}) fact9: ¬{AA}{ch} -> ({HQ}{ch} v {IE}{ch}) fact10: {A}{aa} -> ({AA}{aa} v {AB}{aa}) fact11: (x): ¬{IO}x -> ({GB}x v {DL}x) fact12: (x): ¬{AS}x -> ({BD}x v {GF}x) fact13: (x): ¬{HA}x -> ({EL}x v {GL}x) fact14: (x): ¬{DP}x -> ({BK}x v {HH}x) fact15: ¬{BH}{as} -> ({I}{as} v {ET}{as}) fact16: (x): {IH}x -> ({GR}x v {DF}x) fact17: (x): {IL}x -> ({AC}x v {BN}x) | [] | [] | ãããã®ããã©ã«ã¯åŸé£ããšããããšããªããªãã°ããã¯ã²ããããæã®å
ã | ¬{AB}{aa} -> ({GH}{aa} v {BG}{aa}) | [
"fact18 -> hypothesis;"
] | 1 | 1 | null | 17 | 0 | 17 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããã®ããã©ã«ã¯éºãããªãã°ããã¯èŸ°ç·ã話ãåãããããã¯å°å¹ã«æ§ãããäž¡æ¹ã fact2: åŸé£ããšããããšããªããã®ãã²ãããããããã¯æã®å
ã fact3: ããäœãã蟰ç·ã話ãåããã°ããã蹎çã§ããããããã¯ããã¯åŸé£ã fact4: ãããã®ããã©ã«ã¯ç¥å±
äºæ¡ãªãã°ããã¯è¯å¥ã«ãããããããããã¯ãããã fact5: ãããã£ãããã®ã¯äžè°·å
ã«ãããã€ãããéé£ãäžä»²ã§ãããäž¡æ¹ã fact6: ããããã®ããã©ã«ã¯èžèŠãããªãããšããããšãæãç«ãŠã°ããã¯è¡ããæ¢
ã±ç西ãçã匵ãåã fact7: ãããããã®ã¯å
¥å
å·ã ãšããããšããªããªãã°ããã足æå³ ã«æããããããããã¯è¯å¥ã«ããããããäž¡æ¹ã fact8: ããããã®ã©ã€ã ããããããããšããããšã¯äºå®ãªãã°ããã¯è¹Žçã§ããããããã¯åãªãããããã¯äž¡æ¹ã fact9: ãããã®ãããã¯è¹Žçã ãšããããšã¯ãªããªãã°ããã¯å¿èš±ãªãããããã¯ãããæ ãã°ããã fact10: ãããã®ããã©ã«ã¯èŸ°ç·ã話ãåããã°ããã蹎çã§ããããããåŸé£ããäž¡æ¹ã fact11: ããäœãã¯å°çè°·ãæ
Žãããšããããšããªããªãã°ãããæããããããå°æèŠãæèœãšãããäž¡æ¹ã fact12: ããäœããçŒäº¡ã ãšããããšã¯ãªããªãã°ããã¯éæŸãçžæ¬¡ããåããäž¡æ¹ã fact13: ãããããã®ãå¿ããªããšããããšã¯ãªããªãã°ãããã¯å段åã«æå¯ããããããã¯å
çŽã§ããããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ fact14: ããäœãããããã ãšããããšããªããªãã°ããã¯ãããœã§ããããããããããããäž¡æ¹ã fact15: ãããã®åªè¯ãæãåããªããªãã°ããã¯åè¡ç€Ÿã§ããã倪平æŽæµ·éã«ã¯ãããã fact16: æ·¡ããã®ã倧人ããããããã¯çŸã³ãã fact17: é¡è© ããã€ãã€ãè© ãããè§ãã©ãã ; $hypothesis$ = ããããã®ããã©ã«ã蟰ç·ã話ãåããªãããšããããšãçå®ãªãã°ããã蹎çã§ããããããåŸé£ãããããã¯äž¡æ¹ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {FD}{aa} -> ({A}{aa} v {DD}{aa}) fact2: (x): ¬{AB}x -> ({GH}x v {BG}x) fact3: (x): {A}x -> ({AA}x v {AB}x) fact4: {AK}{aa} -> ({FE}{aa} v {DP}{aa}) fact5: (x): {JA}x -> ({EE}x v {GE}x) fact6: ¬{FC}{aa} -> ({JB}{aa} v {DE}{aa}) fact7: (x): ¬{II}x -> ({BT}x v {FE}x) fact8: {GA}{el} -> ({AA}{el} v {GQ}{el}) fact9: ¬{AA}{ch} -> ({HQ}{ch} v {IE}{ch}) fact10: {A}{aa} -> ({AA}{aa} v {AB}{aa}) fact11: (x): ¬{IO}x -> ({GB}x v {DL}x) fact12: (x): ¬{AS}x -> ({BD}x v {GF}x) fact13: (x): ¬{HA}x -> ({EL}x v {GL}x) fact14: (x): ¬{DP}x -> ({BK}x v {HH}x) fact15: ¬{BH}{as} -> ({I}{as} v {ET}{as}) fact16: (x): {IH}x -> ({GR}x v {DF}x) fact17: (x): {IL}x -> ({AC}x v {BN}x) ; $hypothesis$ = ¬{A}{aa} -> ({AA}{aa} v {AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ç®æãã¯ãªãŸãªãŸãã | {A}{a} | fact1: ãã®èäœã宣é·ã | fact1: {B}{dq} | [] | [] | null | null | [] | null | 1 | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®èäœã宣é·ã ; $hypothesis$ = ãã®ç®æãã¯ãªãŸãªãŸãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{dq} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®æ¹ãèå©å¥ããããã〠| {A}{a} | fact1: ãã®æ¹ãèå©å¥ããããã〠fact2: ãã®èå©å¥ãæ¹ããããã〠| fact1: {A}{a} fact2: {AA}{aa} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 0 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®æ¹ãèå©å¥ããããã〠fact2: ãã®èå©å¥ãæ¹ããããã〠; $hypothesis$ = ãã®æ¹ãèå©å¥ããããã〠; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {AA}{aa} ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ç åã¯ãŠããã | {A}{a} | fact1: ããã®ç åã¯ãŠãããããšããããšãçå®ã fact2: ãããã®è«èã¯ããããã¶ãããªãã°ããã®æºãããã¯æããããã¯å®æ¯é«åã ãšããããšã¯ãªãããšããããšã誀ãã fact3: ããããã®æºããããå®æ¯é«åã ãšããããšããªãããšããããšãåœãªãã°ãã®ç åã¯ãŠããããšããããšããªã fact4: ãããäœããæãããããå®æ¯é«åã ãšããããšã¯ãªãããšããããšã¯çå®ã ãšããããšããªããªãã°ããã¯å®æ¯é«åã fact5: ãã®è¡šé¢åŒµåã¯ãŠããã fact6: ãã®ç«éœããŠããã fact7: ãã®ç åãåã fact8: ãã®ãã¶ã身ã¯ãŠããã fact9: ãããäœãã¯å®æ¯é«åã ãããã¯ããããã¶ãããšããããšããªãããšããããšã¯åãªãã°ããããŠããã fact10: ããã®ã€ãµãã¯ãŠãããããšããããšãæãç«ã€ fact11: ãã®ç åã¯ã«ãžã¯ã fact12: ãã®ç åãçŸæºæ ã | fact1: {A}{a} fact2: {C}{c} -> ¬({D}{b} & ¬{B}{b}) fact3: {B}{b} -> ¬{A}{a} fact4: (x): ¬({D}x & ¬{B}x) -> {B}x fact5: {A}{im} fact6: {A}{cd} fact7: {BS}{a} fact8: {A}{ik} fact9: (x): ¬({B}x & ¬{C}x) -> {A}x fact10: {A}{jg} fact11: {CH}{a} fact12: {FL}{a} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ãã®éå
ããŠããã | {A}{ap} | [
"fact13 -> int1: ããããã®éå
ãå®æ¯é«åã ãããããããããããã¶ãããªãããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°ãããã¯ãŠãããããšããããšã¯æ¬åœã ;"
] | 4 | 1 | 0 | 11 | 0 | 11 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®ç åã¯ãŠãããããšããããšãçå®ã fact2: ãããã®è«èã¯ããããã¶ãããªãã°ããã®æºãããã¯æããããã¯å®æ¯é«åã ãšããããšã¯ãªãããšããããšã誀ãã fact3: ããããã®æºããããå®æ¯é«åã ãšããããšããªãããšããããšãåœãªãã°ãã®ç åã¯ãŠããããšããããšããªã fact4: ãããäœããæãããããå®æ¯é«åã ãšããããšã¯ãªãããšããããšã¯çå®ã ãšããããšããªããªãã°ããã¯å®æ¯é«åã fact5: ãã®è¡šé¢åŒµåã¯ãŠããã fact6: ãã®ç«éœããŠããã fact7: ãã®ç åãåã fact8: ãã®ãã¶ã身ã¯ãŠããã fact9: ãããäœãã¯å®æ¯é«åã ãããã¯ããããã¶ãããšããããšããªãããšããããšã¯åãªãã°ããããŠããã fact10: ããã®ã€ãµãã¯ãŠãããããšããããšãæãç«ã€ fact11: ãã®ç åã¯ã«ãžã¯ã fact12: ãã®ç åãçŸæºæ ã ; $hypothesis$ = ãã®ç åã¯ãŠããã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {C}{c} -> ¬({D}{b} & ¬{B}{b}) fact3: {B}{b} -> ¬{A}{a} fact4: (x): ¬({D}x & ¬{B}x) -> {B}x fact5: {A}{im} fact6: {A}{cd} fact7: {BS}{a} fact8: {A}{ik} fact9: (x): ¬({B}x & ¬{C}x) -> {A}x fact10: {A}{jg} fact11: {CH}{a} fact12: {FL}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¯ãããã€ã»ãã³ã¯æž
ãããã | {B}{b} | fact1: ãããããã®ã¯çã移ããªããªãã°ããã¯åæèšã ãšããããšããªããŠäžžäžåäºã ãšããããšããªã fact2: ãã®äººéã¯æž
ãããã fact3: ããããã®æ¬éã¯ç¶±æ³ã«åãä»ãããããæ³ã§ãªãããšããããšã¯æãç«ããªããªãã°ãã®é¯±ãæžæŽ¥å°äžä»£ã fact4: ããããã®çµµçŸã¯ãããããšããããšã¯æ¬åœãªãã°ãã®äººéãçœçœãã fact5: ãã®äººéãç²æç²æãã fact6: ãããã®ã¢ã«ã¶ãããããšããããšã¯ãªããªãã°ãã®çµµçŸãããã fact7: ããããååã ã軜ããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ãããã°ãã®çã綱æ³ã«åãä»ããªã fact8: ãã®åŸ¡éãçã fact9: ããã綱æ³ã«åãä»ããšããããšããªãããã®ãããã°ããã®æ¬éã綱æ³ã«åãä»ããæ³ã§ãªãããšããããšã¯æãç«ããªã fact10: ããäœãã銬èŠå¡ãã€ã¥ãããããã¯ã¢ã¿ã«å³¶ã ãšããããšããªããªãã°ãã®ããã€ã€ãã²ã©ã fact11: ãã®ãã³ããæž
ãããã fact12: ãã®ããã¯æž
ãããã fact13: ããããããã®ã¯èŠã ãããããããã²ã©ããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªãã°ããã¯ããããªã fact14: ãã®äººéãçã fact15: ããããã®ã¯ãããã€ã»ãã³ãçãããšããããšã¯æ£ãããªãã°ãã®äººéã¯æž
ãããã fact16: ãããã®ããã¯åæèšã§ãªããªãã°ããã®ç·šç©ã¯ååã§ãã£ãŠè»œããšããããšããªããã®ããšããããšã¯æãç«ããªã fact17: ãããçœçœããããã®ãããã°ãã®ã¯ãããã€ã»ãã³ãçããªãããããããªã fact18: å
šãŠã¯çã移ããšããããšã¯ãªã fact19: æžæŽ¥å°äžä»£ã銬èŠå¡ãã€ã¥ãããã¢ã¿ã«å³¶ã ãšããããšã¯ãªã fact20: ãããã®äººéã¯çããªãã°ãã®ã¯ãããã€ã»ãã³ã¯æž
ãããã fact21: ãããã²ã©ãããã®ã¯ããã°ããã®ã¢ã«ã¶ãèŠã ããããããã¯ã²ã©ããšããããšã¯ãªãããšããããšã¯åã | fact1: (x): ¬{Q}x -> (¬{O}x & ¬{P}x) fact2: {B}{a} fact3: ¬({K}{g} & ¬{L}{g}) -> {J}{f} fact4: {E}{c} -> {D}{a} fact5: {BL}{a} fact6: ¬{E}{d} -> {E}{c} fact7: (x): ¬({N}x & ¬{M}x) -> ¬{K}{h} fact8: {A}{dq} fact9: (x): ¬{K}x -> ¬({K}{g} & ¬{L}{g}) fact10: (x): ({I}x & ¬{H}x) -> {G}{e} fact11: {B}{ia} fact12: {B}{j} fact13: (x): ¬({F}x & ¬{G}x) -> ¬{E}x fact14: {A}{a} fact15: {A}{b} -> {B}{a} fact16: ¬{O}{j} -> ¬({N}{i} & ¬{M}{i}) fact17: (x): {D}x -> (¬{A}{b} & ¬{C}{b}) fact18: (x): ¬{Q}x fact19: (x): {J}x -> ({I}x & ¬{H}x) fact20: {A}{a} -> {B}{b} fact21: (x): {G}x -> ¬({F}{d} & ¬{G}{d}) | [
"fact20 & fact14 -> hypothesis;"
] | [
"fact20 & fact14 -> hypothesis;"
] | ãã®ã¯ãããã€ã»ãã³ã¯æž
ãããããªã | ¬{B}{b} | [
"fact26 -> int1: ããããã®ã¢ã«ã¶ãèŠã ãããããããã²ã©ããšããããšã¯ãªãããšããããšãæãç«ããªããªãã°ããã¯ããããªã; fact27 -> int2: ãããã®å€§äŸãçã移ããšããããšã¯ãªããªãã°ããã¯åæèšã ãšããããšããªããŠãããäžžäžåäºã§ãªã; fact25 -> int3: ãã®å€§äŸã¯çã移ããªã; int2 & int3 -> int4: ãã®å€§äŸã¯åæèšã ãšããããšããªããŠããã¯äžžäžåäºã§ãªã; int4 -> int5: ãã®å€§äŸã¯åæèšã§ãªã; int5 -> int6: ãããããã®ãåæèšã§ãªã; int6 -> int7: ãã®ãããåæèšã§ãªã; int7 & fact24 -> int8: ããã®ç·šç©ãååã ãããã軜ããšããããšããªãããšããããšãåœã ; int8 -> int9: ããååã ã軜ããšããããšããªãããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ããã; fact29 & int9 -> int10: ãã®çã綱æ³ã«åãä»ããšããããšã¯ãªã; int10 -> int11: ã綱æ³ã«åãä»ããªãããã®ã¯ãã; fact33 & int11 -> int12: ããã®æ¬éã綱æ³ã«åãä»ãããããããã¯æ³ã ãšããããšããªãããšããããšã¯æãç«ã€ãšããããšããªã; fact23 & int12 -> int13: ãã®é¯±ã¯æžæŽ¥å°äžä»£ã ; fact30 -> int14: ãããã®é¯±ã¯æžæŽ¥å°äžä»£ãªãã°ãããã¯éŠ¬èŠå¡ãã€ã¥ãããããã¯ã¢ã¿ã«å³¶ã§ãªãããšããããšã¯æãç«ã€; int13 & int14 -> int15: ãã®é¯±ã銬èŠå¡ãã€ã¥ãããã¢ã¿ã«å³¶ã ãšããããšã¯ãªã; int15 -> int16: ãäœãã銬èŠå¡ãã€ã¥ãããã¢ã¿ã«å³¶ã§ãªãããšããããšãæ¬åœã ; int16 & fact34 -> int17: ãã®ããã€ã€ãã²ã©ã; int17 -> int18: ã²ã©ããã®ããã; int18 & fact31 -> int19: ããã®ã¢ã«ã¶ãèŠã ãã²ã©ããšããããšã¯ãªãããšããããšã¯èª€ãã ; int1 & int19 -> int20: ãã®ã¢ã«ã¶ã¯ããããªã; int20 & fact22 -> int21: ãã®çµµçŸã¯ããã; int21 & fact28 -> int22: ããã®äººéã¯çœçœããããšããããšã¯äºå®ã ; int22 -> int23: ãçœçœããããã®ã¯ãã; int23 & fact32 -> int24: ãã®ã¯ãããã€ã»ãã³ãçããªãããããããšããããšã¯ãªã;"
] | 22 | 1 | 1 | 19 | 0 | 19 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããã®ã¯çã移ããªããªãã°ããã¯åæèšã ãšããããšããªããŠäžžäžåäºã ãšããããšããªã fact2: ãã®äººéã¯æž
ãããã fact3: ããããã®æ¬éã¯ç¶±æ³ã«åãä»ãããããæ³ã§ãªãããšããããšã¯æãç«ããªããªãã°ãã®é¯±ãæžæŽ¥å°äžä»£ã fact4: ããããã®çµµçŸã¯ãããããšããããšã¯æ¬åœãªãã°ãã®äººéãçœçœãã fact5: ãã®äººéãç²æç²æãã fact6: ãããã®ã¢ã«ã¶ãããããšããããšã¯ãªããªãã°ãã®çµµçŸãããã fact7: ããããååã ã軜ããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ãããã°ãã®çã綱æ³ã«åãä»ããªã fact8: ãã®åŸ¡éãçã fact9: ããã綱æ³ã«åãä»ããšããããšããªãããã®ãããã°ããã®æ¬éã綱æ³ã«åãä»ããæ³ã§ãªãããšããããšã¯æãç«ããªã fact10: ããäœãã銬èŠå¡ãã€ã¥ãããããã¯ã¢ã¿ã«å³¶ã ãšããããšããªããªãã°ãã®ããã€ã€ãã²ã©ã fact11: ãã®ãã³ããæž
ãããã fact12: ãã®ããã¯æž
ãããã fact13: ããããããã®ã¯èŠã ãããããããã²ã©ããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªãã°ããã¯ããããªã fact14: ãã®äººéãçã fact15: ããããã®ã¯ãããã€ã»ãã³ãçãããšããããšã¯æ£ãããªãã°ãã®äººéã¯æž
ãããã fact16: ãããã®ããã¯åæèšã§ãªããªãã°ããã®ç·šç©ã¯ååã§ãã£ãŠè»œããšããããšããªããã®ããšããããšã¯æãç«ããªã fact17: ãããçœçœããããã®ãããã°ãã®ã¯ãããã€ã»ãã³ãçããªãããããããªã fact18: å
šãŠã¯çã移ããšããããšã¯ãªã fact19: æžæŽ¥å°äžä»£ã銬èŠå¡ãã€ã¥ãããã¢ã¿ã«å³¶ã ãšããããšã¯ãªã fact20: ãããã®äººéã¯çããªãã°ãã®ã¯ãããã€ã»ãã³ã¯æž
ãããã fact21: ãããã²ã©ãããã®ã¯ããã°ããã®ã¢ã«ã¶ãèŠã ããããããã¯ã²ã©ããšããããšã¯ãªãããšããããšã¯åã ; $hypothesis$ = ãã®ã¯ãããã€ã»ãã³ã¯æž
ãããã ; $proof$ = | fact20 & fact14 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{Q}x -> (¬{O}x & ¬{P}x) fact2: {B}{a} fact3: ¬({K}{g} & ¬{L}{g}) -> {J}{f} fact4: {E}{c} -> {D}{a} fact5: {BL}{a} fact6: ¬{E}{d} -> {E}{c} fact7: (x): ¬({N}x & ¬{M}x) -> ¬{K}{h} fact8: {A}{dq} fact9: (x): ¬{K}x -> ¬({K}{g} & ¬{L}{g}) fact10: (x): ({I}x & ¬{H}x) -> {G}{e} fact11: {B}{ia} fact12: {B}{j} fact13: (x): ¬({F}x & ¬{G}x) -> ¬{E}x fact14: {A}{a} fact15: {A}{b} -> {B}{a} fact16: ¬{O}{j} -> ¬({N}{i} & ¬{M}{i}) fact17: (x): {D}x -> (¬{A}{b} & ¬{C}{b}) fact18: (x): ¬{Q}x fact19: (x): {J}x -> ({I}x & ¬{H}x) fact20: {A}{a} -> {B}{b} fact21: (x): {G}x -> ¬({F}{d} & ¬{G}{d}) ; $hypothesis$ = {B}{b} ; $proof$ = | fact20 & fact14 -> hypothesis; __PROVED__ |
0.3 | ããã倧éè¶ãå³ã蟌ããæ¥æ¬ç«çœæµ·äžä¿éºã ããšããããšã¯ééããªããã®ãããããšããããšã¯åœã | ¬((Ex): ¬({AA}x & {AB}x)) | fact1: ãããã®ç滞ã¯ç
®ããã ãšããããšã¯ãªããªãã°ããã®ãµã©ã»ã³ã¯é
·ãã西ç«ç¥ã ããšããããšã¯äºå®ãšç°ãªã fact2: ããæ©å±ãããããããä¹
ä¿çœã«æŽããããšããããšã誀ããªããã®ã¯ãã fact3: ãããããã¹ã€ãããã€ã¶ãããäžã®ç°ã ããšããããšã¯çå®ã ããšããããšãåãªããã®ã¯ãã fact4: ããã®å€ã¯å€§éè¶ãå³ã蟌ããæ¥æ¬ç«çœæµ·äžä¿éºã ããšããããšã¯æ¬åœã ãšããããšããªã fact5: ã倧éè¶ãå³ã蟌ããæ¥æ¬ç«çœæµ·äžä¿éºãªããã®ããã fact6: ãããã®ã¹ãã¢ãŒãæ Œå¥œãããšããããšã¯ãªããªãã°ãã®ç滞ãç
®ããã§ãªã | fact1: ¬{A}{b} -> ¬({HU}{a} & {D}{a}) fact2: (Ex): ¬({HA}x & {FH}x) fact3: (Ex): ¬({JF}x & {O}x) fact4: ¬({AA}{aa} & {AB}{aa}) fact5: (Ex): ({AA}x & {AB}x) fact6: ¬{B}{c} -> ¬{A}{b} | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ããé
·ããŠè¥¿ç«ç¥ã ããšããããšã¯åœãªããã®ããã | (Ex): ¬({HU}x & {D}x) | [] | 7 | 1 | 1 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ç滞ã¯ç
®ããã ãšããããšã¯ãªããªãã°ããã®ãµã©ã»ã³ã¯é
·ãã西ç«ç¥ã ããšããããšã¯äºå®ãšç°ãªã fact2: ããæ©å±ãããããããä¹
ä¿çœã«æŽããããšããããšã誀ããªããã®ã¯ãã fact3: ãããããã¹ã€ãããã€ã¶ãããäžã®ç°ã ããšããããšã¯çå®ã ããšããããšãåãªããã®ã¯ãã fact4: ããã®å€ã¯å€§éè¶ãå³ã蟌ããæ¥æ¬ç«çœæµ·äžä¿éºã ããšããããšã¯æ¬åœã ãšããããšããªã fact5: ã倧éè¶ãå³ã蟌ããæ¥æ¬ç«çœæµ·äžä¿éºãªããã®ããã fact6: ãããã®ã¹ãã¢ãŒãæ Œå¥œãããšããããšã¯ãªããªãã°ãã®ç滞ãç
®ããã§ãªã ; $hypothesis$ = ããã倧éè¶ãå³ã蟌ããæ¥æ¬ç«çœæµ·äžä¿éºã ããšããããšã¯ééããªããã®ãããããšããããšã¯åœã ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{b} -> ¬({HU}{a} & {D}{a}) fact2: (Ex): ¬({HA}x & {FH}x) fact3: (Ex): ¬({JF}x & {O}x) fact4: ¬({AA}{aa} & {AB}{aa}) fact5: (Ex): ({AA}x & {AB}x) fact6: ¬{B}{c} -> ¬{A}{b} ; $hypothesis$ = ¬((Ex): ¬({AA}x & {AB}x)) ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®åã¯å€§åã§ãªããªãã°ãã®åã¯æ®è²¡ã«å®¿ãããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªã | ¬(¬{B}{aa} -> ¬{C}{aa}) | fact1: ãããã®åããããŸãããšããããšã¯ãªããªãã°ãããç±èŠãããªã fact2: ãããã®åã¯å€§åãªãã°ãããæ®è²¡ã«å®¿ããªã fact3: ãããã®åã倧åã ãšããããšã¯ãªããªãã°ãããæ®è²¡ã«å®¿ãã fact4: ãããã®åãå¡©åãããããããªããªãã°ãããè£çµŠã«æç¶ããšããããšããªã fact5: ãããã®éèãããããŸãããšããããšããªããªãã°ãããæ®è²¡ã«å®¿ãããšããããšããªã fact6: ãžãžããããªããã®ã¯å«èã§ãªã fact7: ãããããã®ã¯å€§åã ãšããããšããªããªãã°ããã¯æ®è²¡ã«å®¿ãã fact8: ãããã®åã¯å¡©åãããããããªããªãã°ããã¯å€§åã ãšããããšããªã fact9: ããããããªããã®ã¯ç沢補油ç£æ¥ããšããããšããããšããªã fact10: ãããããã®ã¯ãããã§ãªããªãã°ããã¯ãã³ãã ãããªã fact11: ãããããã®ãæŠä¹ã ãšããããšããªããªãã°ããããžã£ã³ãŠãžã«ã§ãªã fact12: ãããããã®ããŽã§ãŒã«ã ãšããããšã¯ãªããªãã°ããã¯éçœããšããããšããªã fact13: ãããã®åãããšã°ããŸã¡ã§ãªããªãã°ãããäžçŒå¡ãæ°ãããŠããšããããšã¯ãªã fact14: ãããããã®ããããã¹ãã€ãã§ãªããªãã°ãããçœçœãããªã fact15: ãããã®åã¯å€©äžã§ãªããªãã°ãããæ®è²¡ã«å®¿ãããšããããšããªã fact16: ããããã®åãã®ããŸãããªãããšããããšãæ£ãããªãã°ããããåããšããããšã¯ãªãããšããããšãæãç«ã€ fact17: ããããããã®ãå
é»ç°ããããã ãããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ãããã¡ãŸããšããããšããªã fact18: ããäœãã¯å€§åã§ãªããªãã°ããã¯æ®è²¡ã«å®¿ãããšããããšããªã fact19: ããäœããæäžã也äžãããªããªãã°ããã¯å¿çŽ°ããšããããšããªã fact20: ããäœãã倧åãªãã°ãããæ®è²¡ã«å®¿ããªã | fact1: ¬{EM}{aa} -> ¬{F}{aa} fact2: {B}{aa} -> ¬{C}{aa} fact3: ¬{B}{aa} -> {C}{aa} fact4: ¬{AG}{aa} -> ¬{ER}{aa} fact5: ¬{IQ}{ai} -> ¬{C}{ai} fact6: (x): ¬{FC}x -> ¬{EQ}x fact7: (x): ¬{B}x -> {C}x fact8: ¬{AG}{aa} -> ¬{B}{aa} fact9: (x): ¬{FG}x -> ¬{BR}x fact10: (x): ¬{BQ}x -> ¬{ED}x fact11: (x): ¬{HH}x -> ¬{EO}x fact12: (x): ¬{BE}x -> ¬{JE}x fact13: ¬{HE}{aa} -> ¬{BS}{aa} fact14: (x): ¬{HL}x -> ¬{GL}x fact15: ¬{EA}{aa} -> ¬{C}{aa} fact16: ¬{IS}{aa} -> ¬{BH}{aa} fact17: (x): ¬{GE}x -> ¬{CE}x fact18: (x): ¬{B}x -> ¬{C}x fact19: (x): ¬{FU}x -> ¬{EU}x fact20: (x): {B}x -> ¬{C}x | [
"fact18 -> hypothesis;"
] | [
"fact18 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 19 | 0 | 19 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®åããããŸãããšããããšã¯ãªããªãã°ãããç±èŠãããªã fact2: ãããã®åã¯å€§åãªãã°ãããæ®è²¡ã«å®¿ããªã fact3: ãããã®åã倧åã ãšããããšã¯ãªããªãã°ãããæ®è²¡ã«å®¿ãã fact4: ãããã®åãå¡©åãããããããªããªãã°ãããè£çµŠã«æç¶ããšããããšããªã fact5: ãããã®éèãããããŸãããšããããšããªããªãã°ãããæ®è²¡ã«å®¿ãããšããããšããªã fact6: ãžãžããããªããã®ã¯å«èã§ãªã fact7: ãããããã®ã¯å€§åã ãšããããšããªããªãã°ããã¯æ®è²¡ã«å®¿ãã fact8: ãããã®åã¯å¡©åãããããããªããªãã°ããã¯å€§åã ãšããããšããªã fact9: ããããããªããã®ã¯ç沢補油ç£æ¥ããšããããšããããšããªã fact10: ãããããã®ã¯ãããã§ãªããªãã°ããã¯ãã³ãã ãããªã fact11: ãããããã®ãæŠä¹ã ãšããããšããªããªãã°ããããžã£ã³ãŠãžã«ã§ãªã fact12: ãããããã®ããŽã§ãŒã«ã ãšããããšã¯ãªããªãã°ããã¯éçœããšããããšããªã fact13: ãããã®åãããšã°ããŸã¡ã§ãªããªãã°ãããäžçŒå¡ãæ°ãããŠããšããããšã¯ãªã fact14: ãããããã®ããããã¹ãã€ãã§ãªããªãã°ãããçœçœãããªã fact15: ãããã®åã¯å€©äžã§ãªããªãã°ãããæ®è²¡ã«å®¿ãããšããããšããªã fact16: ããããã®åãã®ããŸãããªãããšããããšãæ£ãããªãã°ããããåããšããããšã¯ãªãããšããããšãæãç«ã€ fact17: ããããããã®ãå
é»ç°ããããã ãããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ãããã¡ãŸããšããããšããªã fact18: ããäœãã¯å€§åã§ãªããªãã°ããã¯æ®è²¡ã«å®¿ãããšããããšããªã fact19: ããäœããæäžã也äžãããªããªãã°ããã¯å¿çŽ°ããšããããšããªã fact20: ããäœãã倧åãªãã°ãããæ®è²¡ã«å®¿ããªã ; $hypothesis$ = ããããã®åã¯å€§åã§ãªããªãã°ãã®åã¯æ®è²¡ã«å®¿ãããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªã ; $proof$ = | fact18 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{EM}{aa} -> ¬{F}{aa} fact2: {B}{aa} -> ¬{C}{aa} fact3: ¬{B}{aa} -> {C}{aa} fact4: ¬{AG}{aa} -> ¬{ER}{aa} fact5: ¬{IQ}{ai} -> ¬{C}{ai} fact6: (x): ¬{FC}x -> ¬{EQ}x fact7: (x): ¬{B}x -> {C}x fact8: ¬{AG}{aa} -> ¬{B}{aa} fact9: (x): ¬{FG}x -> ¬{BR}x fact10: (x): ¬{BQ}x -> ¬{ED}x fact11: (x): ¬{HH}x -> ¬{EO}x fact12: (x): ¬{BE}x -> ¬{JE}x fact13: ¬{HE}{aa} -> ¬{BS}{aa} fact14: (x): ¬{HL}x -> ¬{GL}x fact15: ¬{EA}{aa} -> ¬{C}{aa} fact16: ¬{IS}{aa} -> ¬{BH}{aa} fact17: (x): ¬{GE}x -> ¬{CE}x fact18: (x): ¬{B}x -> ¬{C}x fact19: (x): ¬{FU}x -> ¬{EU}x fact20: (x): {B}x -> ¬{C}x ; $hypothesis$ = ¬(¬{B}{aa} -> ¬{C}{aa}) ; $proof$ = | fact18 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¯ãŒã·ã§ãã«ã¯æªè³¢ããšããããšããªã | ¬{B}{a} | fact1: ãããã®ããŒãžã³ããã°ã¯å·è¥¿èœå¢å£ã眮ããªããªãã°ãã®ãã¯ãŒã·ã§ãã«ã¯æªè³¢ãããããç建åã fact2: ããäœãã¯å·è¥¿èœå¢å£ã眮ããç建åã ãšããããšããªããªãã°ããã¯æªè³¢ã fact3: ãããã®ãã¯ãŒã·ã§ãã«ã¯ç建åãªãã°ããã¯æªè³¢ããšããããšã¯ãªã fact4: ãã®ãã¯ãŒã·ã§ãã«ãããã蟌ããšããããšããªã fact5: ãããããã®ãå·è¥¿èœå¢å£ã眮ããªããŠããã岩ç®å°ã§ãªããªãã°ãããæªè³¢ã fact6: ããäœããé«å£«ãªãã°ãããç建åã§ãªã fact7: ãã®ãŠã«ã·ã¯æªè³¢ããªã fact8: ãããã®çå
ãæªãããªãã°ããã¯ç建åã§ãªã | fact1: ¬{C}{b} -> ({B}{a} & {A}{a}) fact2: (x): ({C}x & ¬{A}x) -> {B}x fact3: {A}{a} -> ¬{B}{a} fact4: ¬{HD}{a} fact5: (x): (¬{C}x & ¬{D}x) -> {B}x fact6: (x): {JC}x -> ¬{A}x fact7: ¬{B}{fe} fact8: {HJ}{gu} -> ¬{A}{gu} | [] | [] | ãã®ãã¯ãŒã·ã§ãã«ãæªè³¢ã | {B}{a} | [] | 5 | 1 | null | 7 | 0 | 7 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ããŒãžã³ããã°ã¯å·è¥¿èœå¢å£ã眮ããªããªãã°ãã®ãã¯ãŒã·ã§ãã«ã¯æªè³¢ãããããç建åã fact2: ããäœãã¯å·è¥¿èœå¢å£ã眮ããç建åã ãšããããšããªããªãã°ããã¯æªè³¢ã fact3: ãããã®ãã¯ãŒã·ã§ãã«ã¯ç建åãªãã°ããã¯æªè³¢ããšããããšã¯ãªã fact4: ãã®ãã¯ãŒã·ã§ãã«ãããã蟌ããšããããšããªã fact5: ãããããã®ãå·è¥¿èœå¢å£ã眮ããªããŠããã岩ç®å°ã§ãªããªãã°ãããæªè³¢ã fact6: ããäœããé«å£«ãªãã°ãããç建åã§ãªã fact7: ãã®ãŠã«ã·ã¯æªè³¢ããªã fact8: ãããã®çå
ãæªãããªãã°ããã¯ç建åã§ãªã ; $hypothesis$ = ãã®ãã¯ãŒã·ã§ãã«ã¯æªè³¢ããšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C}{b} -> ({B}{a} & {A}{a}) fact2: (x): ({C}x & ¬{A}x) -> {B}x fact3: {A}{a} -> ¬{B}{a} fact4: ¬{HD}{a} fact5: (x): (¬{C}x & ¬{D}x) -> {B}x fact6: (x): {JC}x -> ¬{A}x fact7: ¬{B}{fe} fact8: {HJ}{gu} -> ¬{A}{gu} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®éä¹ãæ¢ç¡ããªã | ¬{B}{b} | fact1: ãã®éä¹ã¯ç±åžåã fact2: ãã®ç¡ç
çã¯æ¢ç¡ã fact3: ããããã®ç¡ç
çã¯èå±±ã«ãã¿æ®ºããããããããç±åžåã ãšããããšããªããªãã°ãã®éä¹ã¯æ¢ç¡ãããšããããšãæ¬åœã fact4: ãã®ãããã¯è©®ç¡ããããã¯èå±±ã«ãã¿æ®ºããªã fact5: ãã®çžæãæ¢ç¡ã fact6: ãã®ç¡ç
çã¯æ¢ç¡ããç±åžåã§ãªã fact7: ããããã®éä¹ã¯ç±åžåã ããããèå±±ã«ãã¿æ®ºããšããããšã¯ãªããªãã°ãã®ç¡ç
çãæ¢ç¡ãããšããããšã¯æãç«ã€ fact8: ãã®ç¡ç
çãèå±±ã«ãã¿æ®ºããããã¯ç±åžåã ãšããããšã¯ãªã fact9: ãã®éä¹ã¯é»ã£ãœããã®ã§ãã£ãŠåå·æ·»ã溶ããããšããããšã¯ãªããã® fact10: ãããã®ç¡ç
çãæ¢ç¡ãããããèå±±ã«ãã¿æ®ºããšããããšããªããªãã°ãã®éä¹ãç±åžåã fact11: ãã®éä¹ã¯èå±±ã«ãã¿æ®ºã fact12: ãã®éä¹ã¯ããŸããã fact13: ãããã®éä¹ã¯æ¢ç¡ãããããç±åžåã ãšããããšããªããªãã°ããã®ç¡ç
çãèå±±ã«ãã¿æ®ºãããšããããšã¯æ¬åœã fact14: ãã®ç¡ç
çããµãããã | fact1: {AB}{b} fact2: {B}{a} fact3: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact4: ({AI}{cl} & ¬{AA}{cl}) fact5: {B}{gu} fact6: ({B}{a} & ¬{AB}{a}) fact7: ({AB}{b} & ¬{AA}{b}) -> {B}{a} fact8: ({AA}{a} & ¬{AB}{a}) fact9: ({BF}{b} & ¬{GB}{b}) fact10: ({B}{a} & ¬{AA}{a}) -> {AB}{b} fact11: {AA}{b} fact12: {BC}{b} fact13: ({B}{b} & ¬{AB}{b}) -> {AA}{a} fact14: {DD}{a} | [
"fact3 & fact8 -> hypothesis;"
] | [
"fact3 & fact8 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 12 | 0 | 12 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®éä¹ã¯ç±åžåã fact2: ãã®ç¡ç
çã¯æ¢ç¡ã fact3: ããããã®ç¡ç
çã¯èå±±ã«ãã¿æ®ºããããããããç±åžåã ãšããããšããªããªãã°ãã®éä¹ã¯æ¢ç¡ãããšããããšãæ¬åœã fact4: ãã®ãããã¯è©®ç¡ããããã¯èå±±ã«ãã¿æ®ºããªã fact5: ãã®çžæãæ¢ç¡ã fact6: ãã®ç¡ç
çã¯æ¢ç¡ããç±åžåã§ãªã fact7: ããããã®éä¹ã¯ç±åžåã ããããèå±±ã«ãã¿æ®ºããšããããšã¯ãªããªãã°ãã®ç¡ç
çãæ¢ç¡ãããšããããšã¯æãç«ã€ fact8: ãã®ç¡ç
çãèå±±ã«ãã¿æ®ºããããã¯ç±åžåã ãšããããšã¯ãªã fact9: ãã®éä¹ã¯é»ã£ãœããã®ã§ãã£ãŠåå·æ·»ã溶ããããšããããšã¯ãªããã® fact10: ãããã®ç¡ç
çãæ¢ç¡ãããããèå±±ã«ãã¿æ®ºããšããããšããªããªãã°ãã®éä¹ãç±åžåã fact11: ãã®éä¹ã¯èå±±ã«ãã¿æ®ºã fact12: ãã®éä¹ã¯ããŸããã fact13: ãããã®éä¹ã¯æ¢ç¡ãããããç±åžåã ãšããããšããªããªãã°ããã®ç¡ç
çãèå±±ã«ãã¿æ®ºãããšããããšã¯æ¬åœã fact14: ãã®ç¡ç
çããµãããã ; $hypothesis$ = ãã®éä¹ãæ¢ç¡ããªã ; $proof$ = | fact3 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AB}{b} fact2: {B}{a} fact3: ({AA}{a} & ¬{AB}{a}) -> {B}{b} fact4: ({AI}{cl} & ¬{AA}{cl}) fact5: {B}{gu} fact6: ({B}{a} & ¬{AB}{a}) fact7: ({AB}{b} & ¬{AA}{b}) -> {B}{a} fact8: ({AA}{a} & ¬{AB}{a}) fact9: ({BF}{b} & ¬{GB}{b}) fact10: ({B}{a} & ¬{AA}{a}) -> {AB}{b} fact11: {AA}{b} fact12: {BC}{b} fact13: ({B}{b} & ¬{AB}{b}) -> {AA}{a} fact14: {DD}{a} ; $hypothesis$ = ¬{B}{b} ; $proof$ = | fact3 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ããããæªãããªãããšããããšã¯æ£ãããªãã°ããåãæšãŠã«ã¿ã€ããããšããããšã¯ãªããæŸåãããšããããšãæãç«ã€ããšããããšã¯æãç«ã€ãšããããšããªãããã®ã¯ãã | (Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x) | fact1: ãããã³ãŒããªã¢ã¹ã«äžããªããªãã°ãããšããããããšããããšã¯ãªããã®ã§ãã£ãŠç滞ããŸãããã®ããšããããšã¯äºå®ãšç°ãªãããã®ããã fact2: ãããã®ä¹åã¯æªãããªããªãã°ããããåãæšãŠã«ã¿ã€ãããããããæŸåãããšããããšã誀ãã fact3: ããããæªãããšããããšããªãããšããããšã¯äºå®ãªãã°åãæšãŠã«ã¿ã€ããããšããããšã¯ãªããŠæŸåãããã®ããã fact4: ããããã®ä¹åãããããªãããšããããšãäºå®ãªãã°ããããåœããéãã«åã£çµããããããåãæšãŠã«ã¿ã€ãããããšããããšãæãç«ã€ãšããããšããªã fact5: ãããã®ä¹åã¯æªãããšããããšã¯ãªããªãã°ãããåãæšãŠã«ã¿ã€ããããšããããšããªããæŸåã fact6: ãããã®ãªãªã ã®ã¯æš«åå
«åç°ããŸã€ãããšããããšããªããªãã°ãããã¯æªãããã®ã§ãã£ãŠåèå¿ã«ã²ããããããã®ããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ããäœãã什éã ãšããããšã¯ãªããªãã°ãããã¯ãªãŸã£ã¡ãããšããããšã¯ãªããæã²ã©ãããšããããšãäºå®ãšç°ãªã fact8: ãããæªãããªãã°ãåãæšãŠã«ã¿ã€ããããšããããšããªããŠæŸåãããšããããšã¯æãç«ã€ãšããããšããªãããã®ããã fact9: ãããããã®ã¯æ¥å®¹ã«å¹ãã ããšããããšã¯ãªããªãã°ãããã¯æªãããªãããããããããããšããããšã¯æãç«ããªã fact10: ãããæªãããšããããšã¯ãªããªãã°ãåãæšãŠã«ã¿ã€ããããæŸåãããšããããšãééããªããã®ããã fact11: ããããããã®ããããããšããããšã¯ãªãããšããããšã¯æ¬åœãªãã°ãããã¯å€§å山鷲峰ãèœè¡ããšããããšã¯ãªãããããå¿ãã£ãœãããšããããšãæ£ãããšããããšããªã fact12: ããããå³æžã§ãªãããšããããšãäºå®ãªãã°ç
®åºãã ãšããããšããªããèªæ¬å¯ºã«ã²ã£ãããããã®ã¯ãã fact13: ãããã®ä¹åã¯æªãããªãã°ãããã¯åãæšãŠã«ã¿ã€ããããšããããšã¯ãªããæŸåãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: (Ex): ¬{JH}x -> ¬(¬{IQ}x & {U}x) fact2: ¬{A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact3: (Ex): ¬{A}x -> (¬{AA}x & {AB}x) fact4: ¬{EC}{aa} -> ¬({M}{aa} & {AA}{aa}) fact5: ¬{A}{aa} -> (¬{AA}{aa} & {AB}{aa}) fact6: ¬{GG}{da} -> ¬({A}{da} & {CP}{da}) fact7: (x): ¬{HL}x -> ¬(¬{F}x & {FT}x) fact8: (Ex): {A}x -> ¬(¬{AA}x & {AB}x) fact9: (x): ¬{HG}x -> ¬(¬{A}x & {BT}x) fact10: (Ex): ¬{A}x -> ¬({AA}x & {AB}x) fact11: (x): ¬{G}x -> ¬(¬{EH}x & {DI}x) fact12: (Ex): ¬{GD}x -> (¬{AL}x & {DT}x) fact13: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) | [] | [] | ããã什éã§ãªããªãã°ããªãŸã£ã¡ãããšããããšã¯ãªããŠæã²ã©ãããšããããšã¯æãç«ããªãããã®ããã | (Ex): ¬{HL}x -> ¬(¬{F}x & {FT}x) | [
"fact14 -> int1: ãããã®å¥œå€©ã¯ä»€éã ãšããããšããªããªãã°ãããããªãŸã£ã¡ãããªãããããæã²ã©ãããšããããšã¯äºå®ãšç°ãªã; int1 -> hypothesis;"
] | 2 | 1 | null | 13 | 0 | 13 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããã³ãŒããªã¢ã¹ã«äžããªããªãã°ãããšããããããšããããšã¯ãªããã®ã§ãã£ãŠç滞ããŸãããã®ããšããããšã¯äºå®ãšç°ãªãããã®ããã fact2: ãããã®ä¹åã¯æªãããªããªãã°ããããåãæšãŠã«ã¿ã€ãããããããæŸåãããšããããšã誀ãã fact3: ããããæªãããšããããšããªãããšããããšã¯äºå®ãªãã°åãæšãŠã«ã¿ã€ããããšããããšã¯ãªããŠæŸåãããã®ããã fact4: ããããã®ä¹åãããããªãããšããããšãäºå®ãªãã°ããããåœããéãã«åã£çµããããããåãæšãŠã«ã¿ã€ãããããšããããšãæãç«ã€ãšããããšããªã fact5: ãããã®ä¹åã¯æªãããšããããšã¯ãªããªãã°ãããåãæšãŠã«ã¿ã€ããããšããããšããªããæŸåã fact6: ãããã®ãªãªã ã®ã¯æš«åå
«åç°ããŸã€ãããšããããšããªããªãã°ãããã¯æªãããã®ã§ãã£ãŠåèå¿ã«ã²ããããããã®ããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ããäœãã什éã ãšããããšã¯ãªããªãã°ãããã¯ãªãŸã£ã¡ãããšããããšã¯ãªããæã²ã©ãããšããããšãäºå®ãšç°ãªã fact8: ãããæªãããªãã°ãåãæšãŠã«ã¿ã€ããããšããããšããªããŠæŸåãããšããããšã¯æãç«ã€ãšããããšããªãããã®ããã fact9: ãããããã®ã¯æ¥å®¹ã«å¹ãã ããšããããšã¯ãªããªãã°ãããã¯æªãããªãããããããããããšããããšã¯æãç«ããªã fact10: ãããæªãããšããããšã¯ãªããªãã°ãåãæšãŠã«ã¿ã€ããããæŸåãããšããããšãééããªããã®ããã fact11: ããããããã®ããããããšããããšã¯ãªãããšããããšã¯æ¬åœãªãã°ãããã¯å€§å山鷲峰ãèœè¡ããšããããšã¯ãªãããããå¿ãã£ãœãããšããããšãæ£ãããšããããšããªã fact12: ããããå³æžã§ãªãããšããããšãäºå®ãªãã°ç
®åºãã ãšããããšããªããèªæ¬å¯ºã«ã²ã£ãããããã®ã¯ãã fact13: ãããã®ä¹åã¯æªãããªãã°ãããã¯åãæšãŠã«ã¿ã€ããããšããããšã¯ãªããæŸåãããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ããããæªãããªãããšããããšã¯æ£ãããªãã°ããåãæšãŠã«ã¿ã€ããããšããããšã¯ãªããæŸåãããšããããšãæãç«ã€ããšããããšã¯æãç«ã€ãšããããšããªãããã®ã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ¬{JH}x -> ¬(¬{IQ}x & {U}x) fact2: ¬{A}{aa} -> ¬({AA}{aa} & {AB}{aa}) fact3: (Ex): ¬{A}x -> (¬{AA}x & {AB}x) fact4: ¬{EC}{aa} -> ¬({M}{aa} & {AA}{aa}) fact5: ¬{A}{aa} -> (¬{AA}{aa} & {AB}{aa}) fact6: ¬{GG}{da} -> ¬({A}{da} & {CP}{da}) fact7: (x): ¬{HL}x -> ¬(¬{F}x & {FT}x) fact8: (Ex): {A}x -> ¬(¬{AA}x & {AB}x) fact9: (x): ¬{HG}x -> ¬(¬{A}x & {BT}x) fact10: (Ex): ¬{A}x -> ¬({AA}x & {AB}x) fact11: (x): ¬{G}x -> ¬(¬{EH}x & {DI}x) fact12: (Ex): ¬{GD}x -> (¬{AL}x & {DT}x) fact13: {A}{aa} -> ¬(¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = (Ex): ¬{A}x -> ¬(¬{AA}x & {AB}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®äžäœã倩æŠã«éããšããããšã¯ãªãããšããããšã¯æãç«ã€ | ¬{A}{a} | fact1: ãã®å
¥éžã倩æŠã«éã fact2: ããããããã®ãåãæããããããããã¯éããããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªããªãã°ãããããåãæããããšããããšãæ¬åœã ããšããããšã¯æãç«ã€ãšããããšããªã fact3: ãããããã®ã¯è
¹äžã«èŠé£ãã°ããããã¯åãæãããããã¯éããããšããããšã¯ãªãããšããããšã¯æ¬åœã ããšããããšã¯åœã fact4: ãã®äžäœãæªéº»ã fact5: ããã®å€©æŠãäžäœã«éãããšããããšã¯ééãã ãšããããšã¯ãªã fact6: ãã®äžäœã¯çé·ã®å®¶ã fact7: ãªãŸããããã®ã¯å€©æŠã«éããåä¹ã ãšããããšã¯ãªã fact8: ãã®äžäœãè
¹äžã«èŠé£ããããå³ã
ãã fact9: ãããããã®ã¯åãæãããšããããšããªããªãã°ãããã¯åä¹ã§ããã¯ãªãŸãããããšããããšã¯æãç«ã€ãšããããšããªã fact10: ãã®ã¬ã€ãã倩æŠã«éã fact11: ãããã®ãåããã倩æŠã«éããåä¹ã ãšããããšã¯ãªããªãã°ãã®äžäœã倩æŠã«éããšããããšã¯ãªã | fact1: {A}{ae} fact2: (x): ¬({D}x & ¬{E}x) -> ¬{D}x fact3: (x): {F}x -> ¬({D}x & ¬{E}x) fact4: {AO}{a} fact5: {AA}{aa} fact6: {BO}{a} fact7: (x): {C}x -> ({A}x & ¬{B}x) fact8: ({F}{a} & {G}{a}) fact9: (x): ¬{D}x -> ¬({B}x & {C}x) fact10: {A}{el} fact11: ({A}{b} & ¬{B}{b}) -> ¬{A}{a} | [] | [] | ãã®ãœã£ãœã¯å€©æŠã«éã | {A}{c} | [
"fact12 -> int1: ãããã®äžäœã¯åãæãããšããããšã¯ãªããªãã°ãããã¯åä¹ã ãããããªãŸãããããšããããšã¯æãç«ããªã; fact15 -> int2: ããããã®äžäœãåãæãããéããããšããããšããªãããšããããšã¯èª€ããªãã°ãããåãæããªã; fact13 -> int3: ãããã®äžäœãè
¹äžã«èŠé£ãã°ãããã¯åãæãããããã¯éããããšããããšããªãããšããããšã¯æãç«ããªã; fact14 -> int4: ãã®äžäœãè
¹äžã«èŠé£ã; int3 & int4 -> int5: ããã®äžäœã¯åãæããããããéãããªãããšããããšãæãç«ããªã; int2 & int5 -> int6: ãã®äžäœã¯åãæããªã; int1 & int6 -> int7: ããã®äžäœã¯åä¹ã ããªãŸãããããšããããšã¯æãç«ã€ãšããããšããªã; int7 -> int8: ããåä¹ã ããªãŸãããããšããããšã誀ããªããã®ããã;"
] | 6 | 1 | null | 11 | 0 | 11 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®å
¥éžã倩æŠã«éã fact2: ããããããã®ãåãæããããããããã¯éããããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªããªãã°ãããããåãæããããšããããšãæ¬åœã ããšããããšã¯æãç«ã€ãšããããšããªã fact3: ãããããã®ã¯è
¹äžã«èŠé£ãã°ããããã¯åãæãããããã¯éããããšããããšã¯ãªãããšããããšã¯æ¬åœã ããšããããšã¯åœã fact4: ãã®äžäœãæªéº»ã fact5: ããã®å€©æŠãäžäœã«éãããšããããšã¯ééãã ãšããããšã¯ãªã fact6: ãã®äžäœã¯çé·ã®å®¶ã fact7: ãªãŸããããã®ã¯å€©æŠã«éããåä¹ã ãšããããšã¯ãªã fact8: ãã®äžäœãè
¹äžã«èŠé£ããããå³ã
ãã fact9: ãããããã®ã¯åãæãããšããããšããªããªãã°ãããã¯åä¹ã§ããã¯ãªãŸãããããšããããšã¯æãç«ã€ãšããããšããªã fact10: ãã®ã¬ã€ãã倩æŠã«éã fact11: ãããã®ãåããã倩æŠã«éããåä¹ã ãšããããšã¯ãªããªãã°ãã®äžäœã倩æŠã«éããšããããšã¯ãªã ; $hypothesis$ = ããã®äžäœã倩æŠã«éããšããããšã¯ãªãããšããããšã¯æãç«ã€ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{ae} fact2: (x): ¬({D}x & ¬{E}x) -> ¬{D}x fact3: (x): {F}x -> ¬({D}x & ¬{E}x) fact4: {AO}{a} fact5: {AA}{aa} fact6: {BO}{a} fact7: (x): {C}x -> ({A}x & ¬{B}x) fact8: ({F}{a} & {G}{a}) fact9: (x): ¬{D}x -> ¬({B}x & {C}x) fact10: {A}{el} fact11: ({A}{b} & ¬{B}{b}) -> ¬{A}{a} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããã®ããŠã€ã¯èšãããšããããšã¯çå®ãªãã°ãã®ããŠã€ã¯çµäŒåºã ãšããããšã¯ãªãããããããšãŸãããäž¡æ¹ã ããšããããšãåœã | ¬({A}{aa} -> (¬{AA}{aa} v {AB}{aa})) | fact1: ãããã®ã ã¯ããžã¯ããšãŸãããªãã°ããã¯èŠé
ãæŠããšããããšã¯ãªããæ¯æ§ã«ãã匵ãããããã¯äž¡æ¹ã fact2: å¿«ç·å
ãå±±è¡èã ãšããããšã¯ãªãããããã¯åå€ã¹ã¿ãŒã¬ãŒã³ã«åãåºãããäž¡æ¹ã fact3: ç§è©±ã¯èã
ãããã¹ãã倧åå£ãã¡ãããããããã¯äž¡æ¹ã fact4: ã身åããã¶ã£ã€ããããããã¯ãããããããšããããšã¯äºå®ã fact5: ãããã®ããŠã€ãå
¥èžãè²°ãã°ããã¯ç座山ã«äº€ãããçµäŒåºã§ããããããã¯äž¡æ¹ã fact6: ããããã®ããŠã€ã¯çµäŒåºã ããšããããšãæãç«ãŠã°ããã¯å
¥èžãè²°ãããããã¯ãããæ
¶å€ªéã§ããããããã¯äž¡æ¹ã fact7: ãããã®ããŠã€ã¯çãŸãèœã¡ãã°ãããé«å³¶ãè²·å
¥ããããããã¯ããšãŸãã fact8: ããäœããèšãã°ããã¯çµäŒåºã§ãªãããããã¯ããã¯ããšãŸãããäž¡æ¹ã fact9: ãããã®ããŠã€ã¯è¥¿äžä¹æ¡ãªãã°ããã¯ã¢ã¬ã°ã¬ããã§ããããããã¯çµäŒåºã fact10: åµæ¥ãèµ€çã®ç¬æžã§ãªããåæ¿ãçã§ããããããã¯äž¡æ¹ã fact11: ãããã®ããŠã€ã¯èšãã°ãããã³ã«ã³ãŒã©ã§ããããããã¯ããã¯ãã©ã fact12: ããäœãã接è±å³ ãåœãããã°ããã¯ã¡ã¬ãã³ãããããããã¯ã³ã«ã³ãŒã©ã§ããããããã¯äž¡æ¹ã | fact1: {AB}{ab} -> (¬{H}{ab} v {FK}{ab}) fact2: (x): {IS}x -> (¬{ER}x v {BO}x) fact3: (x): {CS}x -> ({T}x v {FH}x) fact4: (x): {IH}x -> ({CU}x v {BM}x) fact5: {IM}{aa} -> ({EB}{aa} v {AA}{aa}) fact6: {AA}{aa} -> ({IM}{aa} v {HP}{aa}) fact7: {FC}{aa} -> ({U}{aa} v {AB}{aa}) fact8: (x): {A}x -> (¬{AA}x v {AB}x) fact9: {BH}{aa} -> ({J}{aa} v {AA}{aa}) fact10: (x): {DM}x -> (¬{GM}x v {FD}x) fact11: {A}{aa} -> ({FG}{aa} v {BS}{aa}) fact12: (x): {HC}x -> ({CP}x v {FG}x) | [
"fact8 -> hypothesis;"
] | [
"fact8 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 11 | 0 | 11 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã ã¯ããžã¯ããšãŸãããªãã°ããã¯èŠé
ãæŠããšããããšã¯ãªããæ¯æ§ã«ãã匵ãããããã¯äž¡æ¹ã fact2: å¿«ç·å
ãå±±è¡èã ãšããããšã¯ãªãããããã¯åå€ã¹ã¿ãŒã¬ãŒã³ã«åãåºãããäž¡æ¹ã fact3: ç§è©±ã¯èã
ãããã¹ãã倧åå£ãã¡ãããããããã¯äž¡æ¹ã fact4: ã身åããã¶ã£ã€ããããããã¯ãããããããšããããšã¯äºå®ã fact5: ãããã®ããŠã€ãå
¥èžãè²°ãã°ããã¯ç座山ã«äº€ãããçµäŒåºã§ããããããã¯äž¡æ¹ã fact6: ããããã®ããŠã€ã¯çµäŒåºã ããšããããšãæãç«ãŠã°ããã¯å
¥èžãè²°ãããããã¯ãããæ
¶å€ªéã§ããããããã¯äž¡æ¹ã fact7: ãããã®ããŠã€ã¯çãŸãèœã¡ãã°ãããé«å³¶ãè²·å
¥ããããããã¯ããšãŸãã fact8: ããäœããèšãã°ããã¯çµäŒåºã§ãªãããããã¯ããã¯ããšãŸãããäž¡æ¹ã fact9: ãããã®ããŠã€ã¯è¥¿äžä¹æ¡ãªãã°ããã¯ã¢ã¬ã°ã¬ããã§ããããããã¯çµäŒåºã fact10: åµæ¥ãèµ€çã®ç¬æžã§ãªããåæ¿ãçã§ããããããã¯äž¡æ¹ã fact11: ãããã®ããŠã€ã¯èšãã°ãããã³ã«ã³ãŒã©ã§ããããããã¯ããã¯ãã©ã fact12: ããäœãã接è±å³ ãåœãããã°ããã¯ã¡ã¬ãã³ãããããããã¯ã³ã«ã³ãŒã©ã§ããããããã¯äž¡æ¹ã ; $hypothesis$ = ãããããã®ããŠã€ã¯èšãããšããããšã¯çå®ãªãã°ãã®ããŠã€ã¯çµäŒåºã ãšããããšã¯ãªãããããããšãŸãããäž¡æ¹ã ããšããããšãåœã ; $proof$ = | fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AB}{ab} -> (¬{H}{ab} v {FK}{ab}) fact2: (x): {IS}x -> (¬{ER}x v {BO}x) fact3: (x): {CS}x -> ({T}x v {FH}x) fact4: (x): {IH}x -> ({CU}x v {BM}x) fact5: {IM}{aa} -> ({EB}{aa} v {AA}{aa}) fact6: {AA}{aa} -> ({IM}{aa} v {HP}{aa}) fact7: {FC}{aa} -> ({U}{aa} v {AB}{aa}) fact8: (x): {A}x -> (¬{AA}x v {AB}x) fact9: {BH}{aa} -> ({J}{aa} v {AA}{aa}) fact10: (x): {DM}x -> (¬{GM}x v {FD}x) fact11: {A}{aa} -> ({FG}{aa} v {BS}{aa}) fact12: (x): {HC}x -> ({CP}x v {FG}x) ; $hypothesis$ = ¬({A}{aa} -> (¬{AA}{aa} v {AB}{aa})) ; $proof$ = | fact8 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ãããµã³ã¯èµ€æã ãããããããã ããšããããšããªããªãã°ãããå°å
¶å¡ã«ãããããšããããšã¯ãªã | ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} | fact1: ããèµ€æãã ããªããªãã°ããã¯å°å
¶å¡ã«ãããã fact2: ãããèµ€æã¯ã ãã°ããã¯å°å
¶å¡ã«ããããŸãªãããšããããšã¯äºå®ã fact3: ããéå®ã¯åžžæ¬¡éã«ç¥ãåãããšããããšã¯ãªããªãã°ããã¯ããã¥ãããšããããšã¯ãªã fact4: ãããã®ãããžã¯åå€å±åžç«å¥³åçæ倧åŠãåããããããããã¯ã«ã¶ããšããããšããªããªãã°ãããçæ³é¢ãçžãä»ãããšããããšããªã fact5: ãããã®ãããµã³ã綟éšã ãã ããšããããšããªããªãã°ãããã¯ããšããããªãããšããããšã¯äºå®ã fact6: ããèµ€æãã ããšããããšã¯ãªããªãã°ããã¯å°å
¶å¡ã«ãããããšããããšããªã fact7: ãããã®ãããµã³ã¯èµ€æã ãã ãã°ããã¯å°å
¶å¡ã«ãããããšããããšã¯ãªã fact8: ããããã®ãããµã³ãèµ€æã§ãã£ãŠã ããªããã®ãªãã°ãã®ãããµã³ã¯å°å
¶å¡ã«ããããããšããããšã¯äºå®ã | fact1: (x): ({AA}x & ¬{AB}x) -> {B}x fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: (x): ({AS}x & ¬{JE}x) -> ¬{HE}x fact4: ({EU}{ar} & ¬{HM}{ar}) -> ¬{HH}{ar} fact5: ({BK}{aa} & ¬{AB}{aa}) -> ¬{JB}{aa} fact6: (x): ({AA}x & ¬{AB}x) -> ¬{B}x fact7: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact8: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 7 | 0 | 7 | PROVED | null | PROVED | null | $facts$ = fact1: ããèµ€æãã ããªããªãã°ããã¯å°å
¶å¡ã«ãããã fact2: ãããèµ€æã¯ã ãã°ããã¯å°å
¶å¡ã«ããããŸãªãããšããããšã¯äºå®ã fact3: ããéå®ã¯åžžæ¬¡éã«ç¥ãåãããšããããšã¯ãªããªãã°ããã¯ããã¥ãããšããããšã¯ãªã fact4: ãããã®ãããžã¯åå€å±åžç«å¥³åçæ倧åŠãåããããããããã¯ã«ã¶ããšããããšããªããªãã°ãããçæ³é¢ãçžãä»ãããšããããšããªã fact5: ãããã®ãããµã³ã綟éšã ãã ããšããããšããªããªãã°ãããã¯ããšããããªãããšããããšã¯äºå®ã fact6: ããèµ€æãã ããšããããšã¯ãªããªãã°ããã¯å°å
¶å¡ã«ãããããšããããšããªã fact7: ãããã®ãããµã³ã¯èµ€æã ãã ãã°ããã¯å°å
¶å¡ã«ãããããšããããšã¯ãªã fact8: ããããã®ãããµã³ãèµ€æã§ãã£ãŠã ããªããã®ãªãã°ãã®ãããµã³ã¯å°å
¶å¡ã«ããããããšããããšã¯äºå®ã ; $hypothesis$ = ãããã®ãããµã³ã¯èµ€æã ãããããããã ããšããããšããªããªãã°ãããå°å
¶å¡ã«ãããããšããããšã¯ãªã ; $proof$ = | fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({AA}x & ¬{AB}x) -> {B}x fact2: (x): ({AA}x & {AB}x) -> ¬{B}x fact3: (x): ({AS}x & ¬{JE}x) -> ¬{HE}x fact4: ({EU}{ar} & ¬{HM}{ar}) -> ¬{HH}{ar} fact5: ({BK}{aa} & ¬{AB}{aa}) -> ¬{JB}{aa} fact6: (x): ({AA}x & ¬{AB}x) -> ¬{B}x fact7: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact8: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} ; $hypothesis$ = ({AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} ; $proof$ = | fact6 -> hypothesis; __PROVED__ |
0.3 | ããããæ¥å
çºäºåºäžæ¡ã ãšããããšã¯ãªããæ°æã«éžãåºãã°åæ¯æ¹§å¥ãªããã®ãããããšããããšãæ¬åœã§ãªã | ¬((Ex): (¬{AA}x & {AB}x) -> {B}x) | fact1: ããæ®å€ããšããããšããªããã®ãçæ°ãããªãã°ãããæŽã fact2: ãããæž©ããã«ã²ã«èªã¿åãããã°èŠåç«ã€ããã®ããã fact3: ãããã®çŒãè±ã岩ååæ¡åã«å¡ããšããããšã¯ãªãããããé·ç·ãªãã°ããããæ°æã«éžãåºãããšããããšãæ¬åœã fact4: ããããã®æããããªããŠããæ²ãããªãã°ããªããããã®ããã fact5: ãããã®çŒãè±ãèŽ
ã ãšããããšããªããè¯ããªãã°ãããã¯ãã£ã¬ã¯ã¿ã«äºå¯ããããšããããšã¯æãç«ã€ fact6: ãããæ¥å
çºäºåºäžæ¡ã ãæ°æã«éžãåºãã°ãåæ¯æ¹§å¥ã ããšããããšãäºå®ãªããã®ããã fact7: ãããã®çŒãè±ãæ±äºãå±ã ãšããããšã¯ãªãããã¬ãé岡ãããããã°ãããæž©ã fact8: ãããæ®å€ããšããããšã¯ãªãã什è²ãèŠéãã°ãåãæ©ãå·£ã ã€ããšããããšã¯æ¬åœãªããã®ããã fact9: ãããã®çŒãè±ãåæ¯æ¹§å¥ã§ãªãããããããã¯åé¢æ±ããããã°ããã¯èµ°ã蟌ãã fact10: ãããã®æ¹æªã¯äŸµå
¥ã ããããæ¥å
çºäºåºäžæ¡ãªãã°ããããããããã fact11: ããããããã®ã¯æ¥å
çºäºåºäžæ¡ã ãšããããšããªãããããããããã¡ãããšããããšã¯æ¬åœãªãã°ãããå¥ã
代ãããã ã fact12: ããããããããªããã®ã¯æ°å±åå¹³å°ã«ã¹ãããã°ããã¯æãŸã fact13: ãããã®çŒãè±ãæ¥å
çºäºåºäžæ¡ã§ããã¯æ°æã«éžãåºãã°ããã¯åæ¯æ¹§å¥ã fact14: ãããããã£ãœããšããããšã¯ãªããŠéããªãã°æž©ãããã®ã¯ãã | fact1: (x): (¬{CI}x & {I}x) -> {M}x fact2: (Ex): ({DB}x & {EM}x) -> {GH}x fact3: (¬{ED}{aa} & {FT}{aa}) -> {AB}{aa} fact4: (Ex): (¬{CP}x & {BI}x) -> {EH}x fact5: (¬{BT}{aa} & {DD}{aa}) -> {DI}{aa} fact6: (Ex): ({AA}x & {AB}x) -> {B}x fact7: (¬{JB}{aa} & {IE}{aa}) -> {DB}{aa} fact8: (Ex): (¬{CI}x & {CK}x) -> {GL}x fact9: (¬{B}{aa} & {IM}{aa}) -> {GB}{aa} fact10: ({GF}{fr} & {AA}{fr}) -> {JF}{fr} fact11: (x): (¬{AA}x & {DP}x) -> {IR}x fact12: (x): (¬{FN}x & {JD}x) -> {HO}x fact13: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact14: (Ex): (¬{HF}x & {HQ}x) -> {DB}x | [] | [] | ãããã®ä¿®éé¢ã¯æ¥å
çºäºåºäžæ¡ã ãšããããšããªãããããããã¯ãã¡ããªãã°ãããå¥ã
代ãããã ã | (¬{AA}{dm} & {DP}{dm}) -> {IR}{dm} | [
"fact15 -> hypothesis;"
] | 1 | 1 | null | 14 | 0 | 14 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããæ®å€ããšããããšããªããã®ãçæ°ãããªãã°ãããæŽã fact2: ãããæž©ããã«ã²ã«èªã¿åãããã°èŠåç«ã€ããã®ããã fact3: ãããã®çŒãè±ã岩ååæ¡åã«å¡ããšããããšã¯ãªãããããé·ç·ãªãã°ããããæ°æã«éžãåºãããšããããšãæ¬åœã fact4: ããããã®æããããªããŠããæ²ãããªãã°ããªããããã®ããã fact5: ãããã®çŒãè±ãèŽ
ã ãšããããšããªããè¯ããªãã°ãããã¯ãã£ã¬ã¯ã¿ã«äºå¯ããããšããããšã¯æãç«ã€ fact6: ãããæ¥å
çºäºåºäžæ¡ã ãæ°æã«éžãåºãã°ãåæ¯æ¹§å¥ã ããšããããšãäºå®ãªããã®ããã fact7: ãããã®çŒãè±ãæ±äºãå±ã ãšããããšã¯ãªãããã¬ãé岡ãããããã°ãããæž©ã fact8: ãããæ®å€ããšããããšã¯ãªãã什è²ãèŠéãã°ãåãæ©ãå·£ã ã€ããšããããšã¯æ¬åœãªããã®ããã fact9: ãããã®çŒãè±ãåæ¯æ¹§å¥ã§ãªãããããããã¯åé¢æ±ããããã°ããã¯èµ°ã蟌ãã fact10: ãããã®æ¹æªã¯äŸµå
¥ã ããããæ¥å
çºäºåºäžæ¡ãªãã°ããããããããã fact11: ããããããã®ã¯æ¥å
çºäºåºäžæ¡ã ãšããããšããªãããããããããã¡ãããšããããšã¯æ¬åœãªãã°ãããå¥ã
代ãããã ã fact12: ããããããããªããã®ã¯æ°å±åå¹³å°ã«ã¹ãããã°ããã¯æãŸã fact13: ãããã®çŒãè±ãæ¥å
çºäºåºäžæ¡ã§ããã¯æ°æã«éžãåºãã°ããã¯åæ¯æ¹§å¥ã fact14: ãããããã£ãœããšããããšã¯ãªããŠéããªãã°æž©ãããã®ã¯ãã ; $hypothesis$ = ããããæ¥å
çºäºåºäžæ¡ã ãšããããšã¯ãªããæ°æã«éžãåºãã°åæ¯æ¹§å¥ãªããã®ãããããšããããšãæ¬åœã§ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): (¬{CI}x & {I}x) -> {M}x fact2: (Ex): ({DB}x & {EM}x) -> {GH}x fact3: (¬{ED}{aa} & {FT}{aa}) -> {AB}{aa} fact4: (Ex): (¬{CP}x & {BI}x) -> {EH}x fact5: (¬{BT}{aa} & {DD}{aa}) -> {DI}{aa} fact6: (Ex): ({AA}x & {AB}x) -> {B}x fact7: (¬{JB}{aa} & {IE}{aa}) -> {DB}{aa} fact8: (Ex): (¬{CI}x & {CK}x) -> {GL}x fact9: (¬{B}{aa} & {IM}{aa}) -> {GB}{aa} fact10: ({GF}{fr} & {AA}{fr}) -> {JF}{fr} fact11: (x): (¬{AA}x & {DP}x) -> {IR}x fact12: (x): (¬{FN}x & {JD}x) -> {HO}x fact13: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact14: (Ex): (¬{HF}x & {HQ}x) -> {DB}x ; $hypothesis$ = ¬((Ex): (¬{AA}x & {AB}x) -> {B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ç®ãæºã«å | {A}{a} | fact1: ãããã®æ²ãã¯ãšã©ãŒãªã«ããªã§ãªããªãã°ãã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ã fact2: ããããæ²ãããã®ãåæŠäžãªãã°ãã®ç®ãã¿ãããã fact3: ãããã匱äœã§ãã£ãŠæŒèžã«èŠäº€ãããªããã®ããšããããšãåãªããã®ã¯ããã°ãã®ã¢ãºãçœçœæãã fact4: ãããããã®ã䌞æŽã«ãããšããããšããªããªãã°ããããé«ç¥é§
åã§ããã¯ãããããšããããšããªãããšããããšã¯æãç«ããªã fact5: ããããçœçœæãã ããšããããšãæãç«ã€ããã®ãããã°ããã®å£æ»ãå·ååã ãšããããšããªãã䌞æŽã«ããããšããããšã¯åœã fact6: ãããããã®ãäŒäºçœæ»ãªãã°ãããã¯åŒ±äœã§ããã¯æŒèžã«èŠäº€ãããšããããšã¯ãªãããšããããšã誀ãã fact7: ãã®æ²ããå代åœå³ ã§ãããããã¯ãšã©ãŒãªã«ããªã§ãªãããããã¯äž¡æ¹ã fact8: ããããå·ååã ãšããããšã¯ãªããããã䌞æŽã«ããããšããããšã¯äºå®ãšç°ãªãããã®ã¯ããã°ãã®å€§é»æ±ã¯äŒžæŽã«ãããªã fact9: ãããã²ã©ããå代åœå³ ãªããã®ã¯ããã°ããã®é£äžã解ãæŸã€ããšããããšã¯åœã ãšããããšã¯ãªã fact10: ããåæŠäžã ãã²ã©ãããšããããšãæãç«ã€ããã®ã¯ãã fact11: ã²ã©ããªãåæŠäžããã fact12: ãã®æ圱ãæºã«å fact13: ãåæŠäžãªããã®ã¯ãã fact14: ãããã®æ²ãã¯å代åœå³ ãªãã°ããã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ã ããšããããšãäºå®ã fact15: ãã®ç®ãã²ã©ã fact16: ãããã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ãªãã°ãããããããããäŒäºçœæ»ã ãšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªã fact17: ããã²ã©ããªãåæŠäžãããã°ãã®ç®ãæºã«å fact18: ãããäœãã¯ããããããããããã¯äŒäºçœæ»ã§ãªãããšããããšã¯æãç«ããªããªãã°ããã¯äŒäºçœæ»ã fact19: ãããã®ãã²ã©ããšããããšã¯ãªã | fact1: ¬{L}{f} -> {K}{e} fact2: (x): ({DS}x & {AA}x) -> {CM}{a} fact3: (x): ¬({G}x & ¬{H}x) -> {F}{d} fact4: (x): ¬{D}x -> ¬({C}x & ¬{B}x) fact5: (x): {F}x -> ¬(¬{E}{c} & {D}{c}) fact6: (x): {I}x -> ¬({G}x & ¬{H}x) fact7: ({M}{f} v ¬{L}{f}) fact8: (x): ¬(¬{E}x & {D}x) -> ¬{D}{b} fact9: (x): ({AB}x & {M}x) -> {AE}{cb} fact10: (Ex): ({AA}x & {AB}x) fact11: (Ex): ({AA}x & ¬{AB}x) fact12: {A}{dk} fact13: (Ex): {AA}x fact14: {M}{f} -> {K}{e} fact15: {AB}{a} fact16: {K}{e} -> ¬({J}{e} & ¬{I}{e}) fact17: (x): ({AA}x & ¬{AB}x) -> {A}{a} fact18: (x): ¬({J}x & ¬{I}x) -> {I}x fact19: (Ex): ¬{AB}x | [
"fact11 & fact17 -> hypothesis;"
] | [
"fact11 & fact17 -> hypothesis;"
] | ãã®ç®ã¯æºã«åãªã | ¬{A}{a} | [
"fact22 -> int1: ãããã®å€§é»æ±ã䌞æŽã«ãããªããªãã°ãããã¯é«ç¥é§
åã ãããã¯ãããããšããããšã¯ãªãããšããããšãæãç«ããªã; fact23 -> int2: ãããã®å€çš®ã¯äŒäºçœæ»ãªãã°ããããã¯åŒ±äœã§ãããæŒèžã«èŠäº€ãããªãããšããããšãæ£ããããšããããšã誀ãã ; fact21 -> int3: ããããã®å€çš®ã¯ãããããäŒäºçœæ»ã ãšããããšã¯ãªãããšããããšã¯æãç«ããªããªãã°ãããäŒäºçœæ»ã ; fact29 & fact26 & fact27 -> int4: ãã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ã ; fact20 & int4 -> int5: ããã®å€çš®ããããããããã¯äŒäºçœæ»ã ãšããããšã¯ãªãããšããããšã¯èª€ãã ; int3 & int5 -> int6: ãã®å€çš®ãäŒäºçœæ»ã ; int2 & int6 -> int7: ããã®å€çš®ã¯åŒ±äœã ããããããã¯æŒèžã«èŠäº€ãããšããããšããªãããšããããšã誀ãã ; int7 -> int8: ãã匱äœã ãæŒèžã«èŠäº€ãããªãããšããããšã¯åœãªããã®ã¯ãã; int8 & fact25 -> int9: ãã®ã¢ãºã¯çœçœæãã ; int9 -> int10: ãçœçœæããªããã®ããã; int10 & fact24 -> int11: ããã®å£æ»ãå·ååã ãšããããšããªãã䌞æŽã«ããããšããããšã¯æãç«ããªã; int11 -> int12: ããå·ååã§ãªãã䌞æŽã«ããããšããããšã¯åãªããã®ããã; int12 & fact28 -> int13: ãã®å€§é»æ±ã¯äŒžæŽã«ãããšããããšããªã; int1 & int13 -> int14: ããã®å€§é»æ±ãé«ç¥é§
åã ããããããã¯ãããããšããããšããªãããšããããšã¯ééãã ; int14 -> int15: ããé«ç¥é§
åã§ãããããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªãããã®ã¯ãã;"
] | 13 | 1 | 1 | 17 | 0 | 17 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®æ²ãã¯ãšã©ãŒãªã«ããªã§ãªããªãã°ãã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ã fact2: ããããæ²ãããã®ãåæŠäžãªãã°ãã®ç®ãã¿ãããã fact3: ãããã匱äœã§ãã£ãŠæŒèžã«èŠäº€ãããªããã®ããšããããšãåãªããã®ã¯ããã°ãã®ã¢ãºãçœçœæãã fact4: ãããããã®ã䌞æŽã«ãããšããããšããªããªãã°ããããé«ç¥é§
åã§ããã¯ãããããšããããšããªãããšããããšã¯æãç«ããªã fact5: ããããçœçœæãã ããšããããšãæãç«ã€ããã®ãããã°ããã®å£æ»ãå·ååã ãšããããšããªãã䌞æŽã«ããããšããããšã¯åœã fact6: ãããããã®ãäŒäºçœæ»ãªãã°ãããã¯åŒ±äœã§ããã¯æŒèžã«èŠäº€ãããšããããšã¯ãªãããšããããšã誀ãã fact7: ãã®æ²ããå代åœå³ ã§ãããããã¯ãšã©ãŒãªã«ããªã§ãªãããããã¯äž¡æ¹ã fact8: ããããå·ååã ãšããããšã¯ãªããããã䌞æŽã«ããããšããããšã¯äºå®ãšç°ãªãããã®ã¯ããã°ãã®å€§é»æ±ã¯äŒžæŽã«ãããªã fact9: ãããã²ã©ããå代åœå³ ãªããã®ã¯ããã°ããã®é£äžã解ãæŸã€ããšããããšã¯åœã ãšããããšã¯ãªã fact10: ããåæŠäžã ãã²ã©ãããšããããšãæãç«ã€ããã®ã¯ãã fact11: ã²ã©ããªãåæŠäžããã fact12: ãã®æ圱ãæºã«å fact13: ãåæŠäžãªããã®ã¯ãã fact14: ãããã®æ²ãã¯å代åœå³ ãªãã°ããã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ã ããšããããšãäºå®ã fact15: ãã®ç®ãã²ã©ã fact16: ãããã®å€çš®ã¯è¥¿æ¡çºçŠæ¬ãªãã°ãããããããããäŒäºçœæ»ã ãšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªã fact17: ããã²ã©ããªãåæŠäžãããã°ãã®ç®ãæºã«å fact18: ãããäœãã¯ããããããããããã¯äŒäºçœæ»ã§ãªãããšããããšã¯æãç«ããªããªãã°ããã¯äŒäºçœæ»ã fact19: ãããã®ãã²ã©ããšããããšã¯ãªã ; $hypothesis$ = ãã®ç®ãæºã«å ; $proof$ = | fact11 & fact17 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{L}{f} -> {K}{e} fact2: (x): ({DS}x & {AA}x) -> {CM}{a} fact3: (x): ¬({G}x & ¬{H}x) -> {F}{d} fact4: (x): ¬{D}x -> ¬({C}x & ¬{B}x) fact5: (x): {F}x -> ¬(¬{E}{c} & {D}{c}) fact6: (x): {I}x -> ¬({G}x & ¬{H}x) fact7: ({M}{f} v ¬{L}{f}) fact8: (x): ¬(¬{E}x & {D}x) -> ¬{D}{b} fact9: (x): ({AB}x & {M}x) -> {AE}{cb} fact10: (Ex): ({AA}x & {AB}x) fact11: (Ex): ({AA}x & ¬{AB}x) fact12: {A}{dk} fact13: (Ex): {AA}x fact14: {M}{f} -> {K}{e} fact15: {AB}{a} fact16: {K}{e} -> ¬({J}{e} & ¬{I}{e}) fact17: (x): ({AA}x & ¬{AB}x) -> {A}{a} fact18: (x): ¬({J}x & ¬{I}x) -> {I}x fact19: (Ex): ¬{AB}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact11 & fact17 -> hypothesis; __PROVED__ |
0.3 | ããããããããšããããšãçããªãããšããããšã¯æ¬åœã | ¬{B} | fact1: ãããšããšããããšãçºçããããããããããšããããšã¯èµ·ãã fact2: ããæ©èµ·ãã«çž«ãåããããšã¯çºçããã°ãããããããšããããšã§ã¯ãªããããšããšããããšãçºçãã fact3: ãããšããšããããšã¯èµ·ãããªããšããããšã¯ãè² æŠãšãã®ãããããšãèµ·ããããšããããšã«åž°çµãã fact4: ãããšããšããããšãèµ·ãã | fact1: ({A} & {B}) fact2: {C} -> (¬{B} & {A}) fact3: ¬{A} -> ({BD} & {CL}) fact4: {A} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | è² æŠãšãã®ãããããšäž¡æ¹ãèµ·ãã | ({BD} & {CL}) | [] | 6 | 1 | 1 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããšããšããããšãçºçããããããããããšããããšã¯èµ·ãã fact2: ããæ©èµ·ãã«çž«ãåããããšã¯çºçããã°ãããããããšããããšã§ã¯ãªããããšããšããããšãçºçãã fact3: ãããšããšããããšã¯èµ·ãããªããšããããšã¯ãè² æŠãšãã®ãããããšãèµ·ããããšããããšã«åž°çµãã fact4: ãããšããšããããšãèµ·ãã ; $hypothesis$ = ããããããããšããããšãçããªãããšããããšã¯æ¬åœã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {C} -> (¬{B} & {A}) fact3: ¬{A} -> ({BD} & {CL}) fact4: {A} ; $hypothesis$ = ¬{B} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | æ«æ¬¡æ¬ã«æããããšã¯èµ·ããªã | ¬{A} | fact1: ããããè»æ¿ãæãåãããšã¯çãããããããŸããããããšãèµ·ãããªãããšããããšã¯äºå®ã ãšããããšã¯ãªãããšããããšã¯äºå®ãªãã°è»æ¿ãæãåãããšã¯çããªã fact2: ãæ«æ¬¡æ¬ã«æããããšãšéäžäž¡æ¹ãçºçããããšããããšã¯ãé²ç«ã¯çºçããªãããšããããšã«ããçãã fact3: ãã£æŸãèµ·ãããã²ããããšããããšã¯èµ·ãã fact4: ç¹°è¿ããç¬å²ããããšã¯èµ·ãã fact5: ãäžååãåºã§ç«ã€ããšã¯çºçãããæ¿æ²»ãèµ·ããããšããããšã¯æ£ãã fact6: ããè»æ¿ãæãåãããšãèµ·ãããªããªãã°ã蚎å ãèŠè©°ããããšãšãã£ãããåãäžããããšäž¡æ¹ã¯èµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ã²ãã£ãããšããããšãèµ·ãããªããšããããšãããããããããšããããšãšã¯ã ããããšããããšäž¡æ¹ã¯èµ·ããããšããããšã®ãã£ãããšãªã fact8: ããæ®ãå°ãªããšããããšã¯çããªããªãã°éšä¹±ã¯çããããããããšããããšã¯çºçããªã fact9: ãããã®ãã®ãããšããããšã¯èµ·ããªããªãã°ç
®çããšçæ¬ã«åãèšããããšäž¡æ¹ã¯èµ·ãã fact10: ããããã蚎å ãèŠè©°ããããšãšãã£ãããåãäžããããšäž¡æ¹ãçºçããããšããããšã¯äºå®ã ããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æ£ãããªãã°ãã£ãããåãäžããããšãçºçããªã fact11: ããã眪ã¶ãããšããããšãçºçããªãããã¡ããããšããããšãçããªãããšããããšã¯æãç«ããªããªãã°é²ç«ãèµ·ãããªã fact12: ããç
®çãã¯çºçããã°ãè»æ¿ãæãåãããšã¯çããããŸããããããšã¯çºçããªãããšããããšã¯èª€ãã fact13: å¿å¿ãããšããããšããªãŸãªãŸãããšããããšã¯çããªããšããããšãäž¡æ¹ãããããããšããããšãçããªãããšããããšãåå ã fact14: ããæ©ãåããããšãçºçããªããªãã°ãã眪ã¶ãããšããããšãçºçããªãããã¡ããããšããããšã¯çããªãããšããããšãæãç«ããªãããšããããšãäºå®ã fact15: æããšèµ€å
森ã«éžããããããšãçºçãã fact16: ããããããããšããããšãèµ·ãããã¯ã ããããšããããšã¯çºçããããšããããšã¯æ©ãåããããšãçºçãããšããããšãåé¿ãã fact17: èœé¿åŒ¥ããããããšã¯èµ·ãã fact18: ããã£ãããåãäžããããšã¯èµ·ããªãããšããããšã¯ãã²ãã£ãããšããããšã¯çºçããªããŠããšããšãããšããããšãèµ·ããããšããããšã«ç¹ãã fact19: é²ç«ãèµ·ãã | fact1: ¬({L} & ¬{N}) -> ¬{L} fact2: ¬{B} -> ({A} & {IR}) fact3: ({DH} & {DJ}) fact4: {GU} fact5: ({BE} & {FI}) fact6: ¬{L} -> ¬({K} & {J}) fact7: ¬{H} -> ({F} & {G}) fact8: ¬{U} -> ({T} & ¬{S}) fact9: ¬{P} -> ({M} & {O}) fact10: ¬({K} & {J}) -> ¬{J} fact11: ¬(¬{D} & ¬{C}) -> ¬{B} fact12: {M} -> ¬({L} & ¬{N}) fact13: ¬{S} -> ({Q} v ¬{R}) fact14: ¬{E} -> ¬(¬{D} & ¬{C}) fact15: ({CN} & {GJ}) fact16: ({F} & {G}) -> ¬{E} fact17: {CH} fact18: ¬{J} -> (¬{H} & {I}) fact19: {B} | [] | [] | éäžãçºçãã | {IR} | [] | 18 | 1 | null | 19 | 0 | 19 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããè»æ¿ãæãåãããšã¯çãããããããŸããããããšãèµ·ãããªãããšããããšã¯äºå®ã ãšããããšã¯ãªãããšããããšã¯äºå®ãªãã°è»æ¿ãæãåãããšã¯çããªã fact2: ãæ«æ¬¡æ¬ã«æããããšãšéäžäž¡æ¹ãçºçããããšããããšã¯ãé²ç«ã¯çºçããªãããšããããšã«ããçãã fact3: ãã£æŸãèµ·ãããã²ããããšããããšã¯èµ·ãã fact4: ç¹°è¿ããç¬å²ããããšã¯èµ·ãã fact5: ãäžååãåºã§ç«ã€ããšã¯çºçãããæ¿æ²»ãèµ·ããããšããããšã¯æ£ãã fact6: ããè»æ¿ãæãåãããšãèµ·ãããªããªãã°ã蚎å ãèŠè©°ããããšãšãã£ãããåãäžããããšäž¡æ¹ã¯èµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ã²ãã£ãããšããããšãèµ·ãããªããšããããšãããããããããšããããšãšã¯ã ããããšããããšäž¡æ¹ã¯èµ·ããããšããããšã®ãã£ãããšãªã fact8: ããæ®ãå°ãªããšããããšã¯çããªããªãã°éšä¹±ã¯çããããããããšããããšã¯çºçããªã fact9: ãããã®ãã®ãããšããããšã¯èµ·ããªããªãã°ç
®çããšçæ¬ã«åãèšããããšäž¡æ¹ã¯èµ·ãã fact10: ããããã蚎å ãèŠè©°ããããšãšãã£ãããåãäžããããšäž¡æ¹ãçºçããããšããããšã¯äºå®ã ããšããããšã¯äºå®ãšç°ãªãããšããããšã¯æ£ãããªãã°ãã£ãããåãäžããããšãçºçããªã fact11: ããã眪ã¶ãããšããããšãçºçããªãããã¡ããããšããããšãçããªãããšããããšã¯æãç«ããªããªãã°é²ç«ãèµ·ãããªã fact12: ããç
®çãã¯çºçããã°ãè»æ¿ãæãåãããšã¯çããããŸããããããšã¯çºçããªãããšããããšã¯èª€ãã fact13: å¿å¿ãããšããããšããªãŸãªãŸãããšããããšã¯çããªããšããããšãäž¡æ¹ãããããããšããããšãçããªãããšããããšãåå ã fact14: ããæ©ãåããããšãçºçããªããªãã°ãã眪ã¶ãããšããããšãçºçããªãããã¡ããããšããããšã¯çããªãããšããããšãæãç«ããªãããšããããšãäºå®ã fact15: æããšèµ€å
森ã«éžããããããšãçºçãã fact16: ããããããããšããããšãèµ·ãããã¯ã ããããšããããšã¯çºçããããšããããšã¯æ©ãåããããšãçºçãããšããããšãåé¿ãã fact17: èœé¿åŒ¥ããããããšã¯èµ·ãã fact18: ããã£ãããåãäžããããšã¯èµ·ããªãããšããããšã¯ãã²ãã£ãããšããããšã¯çºçããªããŠããšããšãããšããããšãèµ·ããããšããããšã«ç¹ãã fact19: é²ç«ãèµ·ãã ; $hypothesis$ = æ«æ¬¡æ¬ã«æããããšã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({L} & ¬{N}) -> ¬{L} fact2: ¬{B} -> ({A} & {IR}) fact3: ({DH} & {DJ}) fact4: {GU} fact5: ({BE} & {FI}) fact6: ¬{L} -> ¬({K} & {J}) fact7: ¬{H} -> ({F} & {G}) fact8: ¬{U} -> ({T} & ¬{S}) fact9: ¬{P} -> ({M} & {O}) fact10: ¬({K} & {J}) -> ¬{J} fact11: ¬(¬{D} & ¬{C}) -> ¬{B} fact12: {M} -> ¬({L} & ¬{N}) fact13: ¬{S} -> ({Q} v ¬{R}) fact14: ¬{E} -> ¬(¬{D} & ¬{C}) fact15: ({CN} & {GJ}) fact16: ({F} & {G}) -> ¬{E} fact17: {CH} fact18: ¬{J} -> (¬{H} & {I}) fact19: {B} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãããèŠã | {B}{a} | fact1: ãããã®ã¯æŒä»ãããŸãã fact2: ããäœããæŒä»ãããŸãããªãã°ãã®ãããèŠããšããããšããªã fact3: ãã®ãããæŒä»ãããŸãããªã fact4: ããäœããæããªãããããåå»ãªãã°ããã¯ããã³ããããšããããšã¯ãªã fact5: ãããã競ãããããã¯æ®ãæãããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªãããã®ãããã°ãã®ããã¯æãããšããããšã¯ãªã fact6: ããäœãã¯ããã³ããããªããªãã°ããã¯èŠããæŒä»ãããŸãã fact7: ããã¯ç«¶ãããããã¯æ®ãæãããšããããšããªããšãããã®ããªã fact8: ããäœãã¯ããã³ããããªããªãã°ãããæŒä»ãããŸãããèŠã fact9: ããããã®ããã¯å²ãåŒãããšããããšãäºå®ãªãã°ããã¯åå»ã fact10: èŠããã®ã¯ãã | fact1: (Ex): {A}x fact2: (x): {A}x -> ¬{B}{a} fact3: ¬{A}{a} fact4: (x): (¬{E}x & {D}x) -> ¬{C}x fact5: (x): ¬({G}x v ¬{F}x) -> ¬{E}{a} fact6: (x): ¬{C}x -> ({B}x & {A}x) fact7: (x): ¬({G}x v ¬{F}x) fact8: (x): ¬{C}x -> ({A}x & {B}x) fact9: {H}{a} -> {D}{a} fact10: (Ex): {B}x | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | ããã®ãããèŠãããšããããšã¯æãç«ã€ | {B}{a} | [
"fact11 -> int1: ãããã®ãããããã³ããããšããããšããªããªãã°ããã¯èŠããŠæŒä»ãããŸãã;"
] | 5 | 1 | 1 | 8 | 0 | 8 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã¯æŒä»ãããŸãã fact2: ããäœããæŒä»ãããŸãããªãã°ãã®ãããèŠããšããããšããªã fact3: ãã®ãããæŒä»ãããŸãããªã fact4: ããäœããæããªãããããåå»ãªãã°ããã¯ããã³ããããšããããšã¯ãªã fact5: ãããã競ãããããã¯æ®ãæãããšããããšã¯ãªãããšããããšãäºå®ãšç°ãªãããã®ãããã°ãã®ããã¯æãããšããããšã¯ãªã fact6: ããäœãã¯ããã³ããããªããªãã°ããã¯èŠããæŒä»ãããŸãã fact7: ããã¯ç«¶ãããããã¯æ®ãæãããšããããšããªããšãããã®ããªã fact8: ããäœãã¯ããã³ããããªããªãã°ãããæŒä»ãããŸãããèŠã fact9: ããããã®ããã¯å²ãåŒãããšããããšãäºå®ãªãã°ããã¯åå»ã fact10: èŠããã®ã¯ãã ; $hypothesis$ = ãã®ãããèŠã ; $proof$ = | fact1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): {A}x fact2: (x): {A}x -> ¬{B}{a} fact3: ¬{A}{a} fact4: (x): (¬{E}x & {D}x) -> ¬{C}x fact5: (x): ¬({G}x v ¬{F}x) -> ¬{E}{a} fact6: (x): ¬{C}x -> ({B}x & {A}x) fact7: (x): ¬({G}x v ¬{F}x) fact8: (x): ¬{C}x -> ({A}x & {B}x) fact9: {H}{a} -> {D}{a} fact10: (Ex): {B}x ; $hypothesis$ = {B}{a} ; $proof$ = | fact1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãããããã¿èããã®ã§ãã£ãŠãã°ããã®ãªãã°åŒ¥çå°ã§ãªãããã®ã¯ããããšããããšã¯æ¬åœã ãšããããšããªã | ¬((Ex): ({AA}x & {AB}x) -> ¬{B}x) | fact1: ãããããã¿èããŠãã°ããªãã°åŒ¥çå°ãªããã®ã¯ããããšããããšã¯äºå®ã fact2: ãããã®ãµã³ã«ãŒã ãååºã§ãã£ãŠåå®ãªãã®ãªãã°ããããã¿èããªã fact3: ãããã®åç®ã¯ééãããããããã¬ãã©ãã«ãªãã°ããããã¿èããšããããšã¯ãªã fact4: ãããã®åç®ã¯ãã¿èããããããã°ããªãã°ããã¯åŒ¥çå°ã fact5: ããäœããåæžã«èª€ãããäžçç°ãªãã°ããã¯åºŠãé£ããªã fact6: ãããããèŸãå±±å ãªãã°ããããªãããã®ã¯ãã | fact1: (Ex): ({AA}x & {AB}x) -> {B}x fact2: ({GD}{hc} & {IU}{hc}) -> ¬{AA}{hc} fact3: ({BD}{aa} & {HT}{aa}) -> ¬{AA}{aa} fact4: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact5: (x): ({IT}x & {EL}x) -> ¬{JI}x fact6: (Ex): ({CR}x & {HI}x) -> ¬{FS}x | [] | [] | ãããåæžã«èª€ãããäžçç°ãªãã°ã床ãé£ããšããããšããªãããšããããšã¯çå®ãªããã®ããã | (Ex): ({IT}x & {EL}x) -> ¬{JI}x | [
"fact7 -> int1: ãããã®è·è¡ã¯åæžã«èª€ãããããã¯äžçç°ãªãã°ããã¯åºŠãé£ããªã; int1 -> hypothesis;"
] | 2 | 1 | null | 6 | 0 | 6 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããããã¿èããŠãã°ããªãã°åŒ¥çå°ãªããã®ã¯ããããšããããšã¯äºå®ã fact2: ãããã®ãµã³ã«ãŒã ãååºã§ãã£ãŠåå®ãªãã®ãªãã°ããããã¿èããªã fact3: ãããã®åç®ã¯ééãããããããã¬ãã©ãã«ãªãã°ããããã¿èããšããããšã¯ãªã fact4: ãããã®åç®ã¯ãã¿èããããããã°ããªãã°ããã¯åŒ¥çå°ã fact5: ããäœããåæžã«èª€ãããäžçç°ãªãã°ããã¯åºŠãé£ããªã fact6: ãããããèŸãå±±å ãªãã°ããããªãããã®ã¯ãã ; $hypothesis$ = ãããããã¿èããã®ã§ãã£ãŠãã°ããã®ãªãã°åŒ¥çå°ã§ãªãããã®ã¯ããããšããããšã¯æ¬åœã ãšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ({AA}x & {AB}x) -> {B}x fact2: ({GD}{hc} & {IU}{hc}) -> ¬{AA}{hc} fact3: ({BD}{aa} & {HT}{aa}) -> ¬{AA}{aa} fact4: ({AA}{aa} & {AB}{aa}) -> {B}{aa} fact5: (x): ({IT}x & {EL}x) -> ¬{JI}x fact6: (Ex): ({CR}x & {HI}x) -> ¬{FS}x ; $hypothesis$ = ¬((Ex): ({AA}x & {AB}x) -> ¬{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®æµ·ç£ãèã | {B}{a} | fact1: ãã®æµ·ç£ãåé·äžçªã§ãªããŠããã¯è¡æ¶²ã ãšããããšããªã fact2: ãã®ã·ãã¯èã fact3: ããããäœãã¯é
矜çºäžå³¶ã ãšããããšã¯ãªãããšããããšãæ¬åœãªãã°ãããã誰ãã ãããããªãããšããããšãæãç«ã€ãšããããšããªãããšããããšã¯æ£ãã fact4: ãããã®ç³åãé
矜çºäžå³¶ã ãšããããšã¯ãªããªãã°ãããã¯èãã誰ãã ããšããããšã¯äºå®ãšç°ãªã fact5: ããããªããã®ã¯ã¯ã£æ±ã ãšããããšããªããèŠåºããšããããšã¯ãªã fact6: ãã®æµ·ç£ã¯åé·äžçªã§ãªã fact7: ãããã®æµ·ç£ã¯åé·äžçªã ãè¡æ¶²ã§ãªããªãã°ããã¯èã fact8: ãããããã®ã¯æ£®å±±æ
¶åž«éåãªãã°ãããé
矜çºäžå³¶ã§ãªã fact9: ããã®æµ·ç£ã倧æ£çåœä¿éºã ããšããããšãæãç«ã€ | fact1: (¬{AA}{a} & ¬{AB}{a}) fact2: {B}{fn} fact3: (x): ¬{D}x -> ¬({C}x & ¬{A}x) fact4: ¬{D}{b} -> ¬({B}{b} & {C}{b}) fact5: (x): ¬{A}x -> (¬{JD}x & ¬{GB}x) fact6: ¬{AA}{a} fact7: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact8: (x): {E}x -> ¬{D}x fact9: {HS}{a} | [] | [] | ããã®æµ·ç£ã¯ã¯ã£æ±ã ãšããããšããªãããããèŠåºããšããããšããªãããšããããšãæ£ãã | (¬{JD}{a} & ¬{GB}{a}) | [
"fact10 -> int1: ããããã®æµ·ç£ã¯ããããšããããšããªãããšããããšã¯äºå®ãªãã°ãããã¯ã£æ±ã ãšããããšããªããèŠåºããšããããšã¯ãªã;"
] | 6 | 1 | null | 8 | 0 | 8 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®æµ·ç£ãåé·äžçªã§ãªããŠããã¯è¡æ¶²ã ãšããããšããªã fact2: ãã®ã·ãã¯èã fact3: ããããäœãã¯é
矜çºäžå³¶ã ãšããããšã¯ãªãããšããããšãæ¬åœãªãã°ãããã誰ãã ãããããªãããšããããšãæãç«ã€ãšããããšããªãããšããããšã¯æ£ãã fact4: ãããã®ç³åãé
矜çºäžå³¶ã ãšããããšã¯ãªããªãã°ãããã¯èãã誰ãã ããšããããšã¯äºå®ãšç°ãªã fact5: ããããªããã®ã¯ã¯ã£æ±ã ãšããããšããªããèŠåºããšããããšã¯ãªã fact6: ãã®æµ·ç£ã¯åé·äžçªã§ãªã fact7: ãããã®æµ·ç£ã¯åé·äžçªã ãè¡æ¶²ã§ãªããªãã°ããã¯èã fact8: ãããããã®ã¯æ£®å±±æ
¶åž«éåãªãã°ãããé
矜çºäžå³¶ã§ãªã fact9: ããã®æµ·ç£ã倧æ£çåœä¿éºã ããšããããšãæãç«ã€ ; $hypothesis$ = ãã®æµ·ç£ãèã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} & ¬{AB}{a}) fact2: {B}{fn} fact3: (x): ¬{D}x -> ¬({C}x & ¬{A}x) fact4: ¬{D}{b} -> ¬({B}{b} & {C}{b}) fact5: (x): ¬{A}x -> (¬{JD}x & ¬{GB}x) fact6: ¬{AA}{a} fact7: ({AA}{a} & ¬{AB}{a}) -> {B}{a} fact8: (x): {E}x -> ¬{D}x fact9: {HS}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ç³è¹ãåä»ãã«ã¯ãããã | {B}{a} | fact1: ãã®ç³è¹ãæ¯èªã ãããã¯ãããŸãããšããããšã¯ãªã fact2: ãããã®ç³è¹ãæ¯èªã ããããŸãããªããªãã°ããã¯åä»ãã«ã¯ãããããšããããšã¯ãªã | fact1: ({AA}{a} & ¬{AB}{a}) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ç³è¹ãæ¯èªã ãããã¯ãããŸãããšããããšã¯ãªã fact2: ãããã®ç³è¹ãæ¯èªã ããããŸãããªããªãã°ããã¯åä»ãã«ã¯ãããããšããããšã¯ãªã ; $hypothesis$ = ãã®ç³è¹ãåä»ãã«ã¯ãããã ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) fact2: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | fact2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããããããåç®ã§ãªããŠç©äºã§ãªãããšããããšã¯èª€ããªãã°å¿«ããšããããšã¯ãªãããã®ãããããšããããšã¯æãç«ã€ããšããããšãæãç«ã€ãšããããšããªã | ¬((Ex): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x) | fact1: ããããã®ããã·ã¥ã¯è³€ãç°ã§ãã£ãŠèªããããšããããšããªããã®ããšããããšã¯ééããªãã°ãããåç®ã§ãªã fact2: ããããããã®ã¯ããããäžããªããŠãããåŸäºŠçŽ
ã ãšããããšããªãããšããããšã¯æãç«ããªããªãã°ããã¯æ°åæ浊ã ãšããããšããªã fact3: ãããã®ããã·ã¥ãå¿«ããªãã°ããã¯ç²ç²ã ãšããããšã¯ãªã fact4: ãããèå±±å³ ãåãèšãããã°ãããããããšããããšã¯ãªãããã®ã¯ãã fact5: ããããã®ããã·ã¥ãåç®ã§ãªããŠç©äºã§ãªãããšããããšã¯æãç«ã€ãšããããšããªããªãã°ããã¯å¿«ããªã fact6: ããããã®å¯¿åãæŒç¯ãç©ã¿ç«ãŠãããšããããšã¯çå®ãªãã°ããã¯åç®ã§ãªã | fact1: ¬({HE}{aa} & ¬{EI}{aa}) -> ¬{AA}{aa} fact2: (x): ¬(¬{F}x & ¬{JD}x) -> ¬{FE}x fact3: {B}{aa} -> ¬{AN}{aa} fact4: (Ex): {FG}x -> ¬{BJ}x fact5: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact6: {FF}{fo} -> ¬{AA}{fo} | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ããããããããäžããªããåŸäºŠçŽ
ã§ãªãããšããããšã¯èª€ããªãã°æ°åæ浊ã§ãªãããã®ããã | (Ex): ¬(¬{F}x & ¬{JD}x) -> ¬{FE}x | [
"fact7 -> int1: ããããã®èåŸã¯ããããäžããªããŠåŸäºŠçŽ
ã ãšããããšããªãããšããããšãåãªãã°ãããæ°åæ浊ã§ãªã; int1 -> hypothesis;"
] | 2 | 1 | 1 | 5 | 0 | 5 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ããããã®ããã·ã¥ã¯è³€ãç°ã§ãã£ãŠèªããããšããããšããªããã®ããšããããšã¯ééããªãã°ãããåç®ã§ãªã fact2: ããããããã®ã¯ããããäžããªããŠãããåŸäºŠçŽ
ã ãšããããšããªãããšããããšã¯æãç«ããªããªãã°ããã¯æ°åæ浊ã ãšããããšããªã fact3: ãããã®ããã·ã¥ãå¿«ããªãã°ããã¯ç²ç²ã ãšããããšã¯ãªã fact4: ãããèå±±å³ ãåãèšãããã°ãããããããšããããšã¯ãªãããã®ã¯ãã fact5: ããããã®ããã·ã¥ãåç®ã§ãªããŠç©äºã§ãªãããšããããšã¯æãç«ã€ãšããããšããªããªãã°ããã¯å¿«ããªã fact6: ããããã®å¯¿åãæŒç¯ãç©ã¿ç«ãŠãããšããããšã¯çå®ãªãã°ããã¯åç®ã§ãªã ; $hypothesis$ = ããããããåç®ã§ãªããŠç©äºã§ãªãããšããããšã¯èª€ããªãã°å¿«ããšããããšã¯ãªãããã®ãããããšããããšã¯æãç«ã€ããšããããšãæãç«ã€ãšããããšããªã ; $proof$ = | fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({HE}{aa} & ¬{EI}{aa}) -> ¬{AA}{aa} fact2: (x): ¬(¬{F}x & ¬{JD}x) -> ¬{FE}x fact3: {B}{aa} -> ¬{AN}{aa} fact4: (Ex): {FG}x -> ¬{BJ}x fact5: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> ¬{B}{aa} fact6: {FF}{fo} -> ¬{AA}{fo} ; $hypothesis$ = ¬((Ex): ¬(¬{AA}x & ¬{AB}x) -> ¬{B}x) ; $proof$ = | fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã岩ç¬çœå±±ã ãšããããšã¯ãªããªãã°ãéŠæ¬ãæœããªãããããã¯äžç€Ÿé»æ©è£œäœæã§ãªãããããã¯äž¡æ¹ã ããšããããšãçå®ã ãšããããšããªãããã®ããã | (Ex): ¬{A}x -> ¬(¬{AA}x v ¬{AB}x) | fact1: ããã岩ç¬çœå±±ã§ãªããªãã°éŠæ¬ãæœãããã®ã¯ãã fact2: ãããããã®ã¯ç³åºã§ãªããªãã°ãããã¯éŠæ¬ãæœããšããããšã¯ãªãããããã¯ãããããªãããšããããšãåã | fact1: (Ex): ¬{A}x -> {AA}x fact2: (x): ¬{IL}x -> ¬(¬{AA}x v ¬{EF}x) | [] | [] | ãããã®è¡ç®¡ã¯ç³åºã§ãªããªãã°ããããéŠæ¬ãæœããªãããããã¯ãããããããããšããããšããªãããããã¯äž¡æ¹ã ããšããããšã¯åã | ¬{IL}{fg} -> ¬(¬{AA}{fg} v ¬{EF}{fg}) | [
"fact3 -> hypothesis;"
] | 1 | 1 | null | 2 | 0 | 2 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããã岩ç¬çœå±±ã§ãªããªãã°éŠæ¬ãæœãããã®ã¯ãã fact2: ãããããã®ã¯ç³åºã§ãªããªãã°ãããã¯éŠæ¬ãæœããšããããšã¯ãªãããããã¯ãããããªãããšããããšãåã ; $hypothesis$ = ããã岩ç¬çœå±±ã ãšããããšã¯ãªããªãã°ãéŠæ¬ãæœããªãããããã¯äžç€Ÿé»æ©è£œäœæã§ãªãããããã¯äž¡æ¹ã ããšããããšãçå®ã ãšããããšããªãããã®ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ¬{A}x -> {AA}x fact2: (x): ¬{IL}x -> ¬(¬{AA}x v ¬{EF}x) ; $hypothesis$ = (Ex): ¬{A}x -> ¬(¬{AA}x v ¬{AB}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®è糞ãè¯ã°ãªããããããã¿ããããããšããããšã¯ééãã | ¬({B}{a} v {C}{a}) | fact1: ãæŒæ°Žãªããã®ã¯ãã fact2: ãããããäžæºåŠé¢ã§ãããããããŸããããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ãããã°ãã®å
ããããããããšããããšããªãããšããããšã¯æ£ãã fact3: ããäžæºåŠé¢ã§ããããããã¯ããããŸããããšããããšã¯åãªããã®ããã fact4: ãããã®å¥³å°ãããã«åºãéããã°ããããããããããšããããšã¯ãªããã®ã§ãã£ãŠäžéœåã«å
¥ã蟌ãããã® fact5: ããã®ãšãŒããããã¹ã ããšããããšã¯æãç«ã€ fact6: ããäœãã¯ãããããããªããªãã°ãã®å¥³å°ã¯å±
çããããã«åºãéãã fact7: ãããã®è糞ãããã¹ã§ãã£ãŠæŒæ°Žã ãšããããšã¯ãªããã®ãªãã°ãããã¿ãããã fact8: ããæŒæ°Žãããã°ããã®è糞ãè¯ã°ãªããããããã¯ãããã¿ãããããäž¡æ¹ã ããšããããšãåã fact9: ãããã®å¥³å°ã¯äžéœåã«å
¥ã蟌ããã°ããããæŒæ°Žã§ããã庶路ç²ã«è§£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact10: ãããã®ãšãŒãã¯ããã¹ãªãã°ããã®è糞ãããã¹ã ããšããããšãæ¬åœã | fact1: (Ex): {A}x fact2: (x): ¬({K}x v {L}x) -> ¬{J}{d} fact3: (Ex): ¬({K}x v {L}x) fact4: {H}{c} -> (¬{G}{c} & {E}{c}) fact5: {D}{b} fact6: (x): ¬{J}x -> ({I}{c} & {H}{c}) fact7: ({D}{a} & ¬{A}{a}) -> {C}{a} fact8: (x): {A}x -> ¬({B}{a} v {C}{a}) fact9: {E}{c} -> ¬({A}{c} & ¬{F}{c}) fact10: {D}{b} -> {D}{a} | [
"fact1 & fact8 -> hypothesis;"
] | [
"fact1 & fact8 -> hypothesis;"
] | ãã®è糞ã¯è¯ã°ãªããããããã¯ãããã¿ãããã | ({B}{a} v {C}{a}) | [
"fact15 & fact18 -> int1: ãã®è糞ã¯ããã¹ã ; fact14 & fact17 -> int2: ãã®å
ã¯ãããããããšããããšã¯ãªã; int2 -> int3: ããããããããšããããšããªãããã®ã¯ãã; int3 & fact11 -> int4: ãã®å¥³å°ãå±
çãããããããã«åºãéãã; int4 -> int5: ãã®å¥³å°ã¯ããã«åºãéãã; fact13 & int5 -> int6: ãã®å¥³å°ããããããããªããã®ã§ãã£ãŠäžéœåã«å
¥ã蟌ãããã®; int6 -> int7: ãã®å¥³å°ã¯äžéœåã«å
¥ã蟌ãã; fact16 & int7 -> int8: ããã®å¥³å°ãæŒæ°Žã ããããããã庶路ç²ã«è§£ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã; int8 -> int9: ããæŒæ°Žã ãããã庶路ç²ã«è§£ããšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ã¯ãã;"
] | 12 | 1 | 1 | 8 | 0 | 8 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãæŒæ°Žãªããã®ã¯ãã fact2: ãããããäžæºåŠé¢ã§ãããããããŸããããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ãããã°ãã®å
ããããããããšããããšããªãããšããããšã¯æ£ãã fact3: ããäžæºåŠé¢ã§ããããããã¯ããããŸããããšããããšã¯åãªããã®ããã fact4: ãããã®å¥³å°ãããã«åºãéããã°ããããããããããšããããšã¯ãªããã®ã§ãã£ãŠäžéœåã«å
¥ã蟌ãããã® fact5: ããã®ãšãŒããããã¹ã ããšããããšã¯æãç«ã€ fact6: ããäœãã¯ãããããããªããªãã°ãã®å¥³å°ã¯å±
çããããã«åºãéãã fact7: ãããã®è糞ãããã¹ã§ãã£ãŠæŒæ°Žã ãšããããšã¯ãªããã®ãªãã°ãããã¿ãããã fact8: ããæŒæ°Žãããã°ããã®è糞ãè¯ã°ãªããããããã¯ãããã¿ãããããäž¡æ¹ã ããšããããšãåã fact9: ãããã®å¥³å°ã¯äžéœåã«å
¥ã蟌ããã°ããããæŒæ°Žã§ããã庶路ç²ã«è§£ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact10: ãããã®ãšãŒãã¯ããã¹ãªãã°ããã®è糞ãããã¹ã ããšããããšãæ¬åœã ; $hypothesis$ = ããã®è糞ãè¯ã°ãªããããããã¿ããããããšããããšã¯ééãã ; $proof$ = | fact1 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): {A}x fact2: (x): ¬({K}x v {L}x) -> ¬{J}{d} fact3: (Ex): ¬({K}x v {L}x) fact4: {H}{c} -> (¬{G}{c} & {E}{c}) fact5: {D}{b} fact6: (x): ¬{J}x -> ({I}{c} & {H}{c}) fact7: ({D}{a} & ¬{A}{a}) -> {C}{a} fact8: (x): {A}x -> ¬({B}{a} v {C}{a}) fact9: {E}{c} -> ¬({A}{c} & ¬{F}{c}) fact10: {D}{b} -> {D}{a} ; $hypothesis$ = ¬({B}{a} v {C}{a}) ; $proof$ = | fact1 & fact8 -> hypothesis; __PROVED__ |
0.3 | ãã®äžçã峯倫ã«æ ãã | {B}{a} | fact1: ããã®åããé£ç Žã ããšããããšã¯äºå®ãšç°ãªããªã fact2: ãã®äžçã宵è¶ãã§ãããé£ç Žã fact3: ããäœããé£ç Žã§ãªããªãã°ããã¯å®µè¶ãã ãããã¯åãŒã£ãã fact4: ãã®äºå¡æãé£ç Žã fact5: ããã®äžçã¯é£ç Žã§ãã£ãŠå³¯å€«ã«æ ãããã®ããšããããšã¯æãç«ã€ | fact1: {A}{hl} fact2: ({CG}{a} & {A}{a}) fact3: (x): ¬{A}x -> ({CG}x & {HH}x) fact4: {A}{ee} fact5: ({A}{a} & {B}{a}) | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ãã®å°å³¡ã¯å®µè¶ãã§åãŒã£ãã | ({CG}{ef} & {HH}{ef}) | [
"fact6 -> int1: ãããã®å°å³¡ãé£ç Žã§ãªããªãã°ããã宵è¶ãã§ããã¯åãŒã£ãã;"
] | 5 | 1 | 1 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããã®åããé£ç Žã ããšããããšã¯äºå®ãšç°ãªããªã fact2: ãã®äžçã宵è¶ãã§ãããé£ç Žã fact3: ããäœããé£ç Žã§ãªããªãã°ããã¯å®µè¶ãã ãããã¯åãŒã£ãã fact4: ãã®äºå¡æãé£ç Žã fact5: ããã®äžçã¯é£ç Žã§ãã£ãŠå³¯å€«ã«æ ãããã®ããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®äžçã峯倫ã«æ ãã ; $proof$ = | fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{hl} fact2: ({CG}{a} & {A}{a}) fact3: (x): ¬{A}x -> ({CG}x & {HH}x) fact4: {A}{ee} fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = {B}{a} ; $proof$ = | fact5 -> hypothesis; __PROVED__ |
0.3 | 浊äœãçã¥ããããšãèµ·ãããªã | ¬{B} | fact1: ããŸã°ãããšããããšãèµ·ãããä»ç«ç©ã¯èµ·ããªãããšããããšã¯ãã£ãŒããŒãã£ãŒãèµ·ãããªããšããããšãæã fact2: ãã¿ãããããšãçºçããªãããšããããšããèŠå¯ãèµ·ããªãããšããããšã«é»ãŸãã fact3: ããããã£ãŒããŒãã£ãŒã¯çããªãããšããããšãçå®ãªãã°è¿é·ãããã€ãããšã浊äœãçã¥ããããšãäž¡æ¹ãçºçãã fact4: ãçŽ æŽããããšããããšã¯èµ·ããªãããšããããšãäºå®ã fact5: 埡èãèµ·ãã fact6: 浊äœãçã¥ããããšãèµ·ãããšããããšã¯ãè¿é·ãããã€ãããšã¯çããªãããšããããšã«èªçºããã fact7: ã¿ã«ãããšããããšã¯çºçããªã fact8: çæ±éãç§ãããšã¯ã緎磚ã¯çããªãããšããããšã«èªçºããã fact9: ãããã¿ã¶ãããšããããšã¯çãã | fact1: ({D} & ¬{E}) -> ¬{C} fact2: ¬{FJ} -> {CC} fact3: ¬{C} -> ({A} v {B}) fact4: ¬{FU} fact5: {BB} fact6: ¬{A} -> {B} fact7: ¬{EK} fact8: ¬{HT} -> {J} fact9: {HP} | [] | [] | ã¡ãªãŸããããšããããšã¯èµ·ãã | {HD} | [] | 7 | 1 | null | 8 | 0 | 8 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŸã°ãããšããããšãèµ·ãããä»ç«ç©ã¯èµ·ããªãããšããããšã¯ãã£ãŒããŒãã£ãŒãèµ·ãããªããšããããšãæã fact2: ãã¿ãããããšãçºçããªãããšããããšããèŠå¯ãèµ·ããªãããšããããšã«é»ãŸãã fact3: ããããã£ãŒããŒãã£ãŒã¯çããªãããšããããšãçå®ãªãã°è¿é·ãããã€ãããšã浊äœãçã¥ããããšãäž¡æ¹ãçºçãã fact4: ãçŽ æŽããããšããããšã¯èµ·ããªãããšããããšãäºå®ã fact5: 埡èãèµ·ãã fact6: 浊äœãçã¥ããããšãèµ·ãããšããããšã¯ãè¿é·ãããã€ãããšã¯çããªãããšããããšã«èªçºããã fact7: ã¿ã«ãããšããããšã¯çºçããªã fact8: çæ±éãç§ãããšã¯ã緎磚ã¯çããªãããšããããšã«èªçºããã fact9: ãããã¿ã¶ãããšããããšã¯çãã ; $hypothesis$ = 浊äœãçã¥ããããšãèµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({D} & ¬{E}) -> ¬{C} fact2: ¬{FJ} -> {CC} fact3: ¬{C} -> ({A} v {B}) fact4: ¬{FU} fact5: {BB} fact6: ¬{A} -> {B} fact7: ¬{EK} fact8: ¬{HT} -> {J} fact9: {HP} ; $hypothesis$ = ¬{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ããŸããããšããããšã¯çãã | {B} | fact1: ã¢ã°ãªãŒã¡ã³ãããããããããšããããšãèµ·ãããªããæèšã¯èµ·ããªãããšããããšããããã fact2: å°æ°å³ãããšããããšã¯èµ·ãã fact3: ã¬ã¿ã¬ã¿ã¯èµ·ãã fact4: ãããèãå±ããããšãšããŸããããšããããšäž¡æ¹ã¯èµ·ããããšããããšãäºå®ãšç°ãªãã°ããŸããããšããããšã¯çºçããªã fact5: ãããã©ããšããããšã¯èµ·ãããªãããšããããšã¯ãã¢ã°ãªãŒã¡ã³ããšãããããšäž¡æ¹ãçºçããããšããããšã«åž°çµãã fact6: å€æ³ã¯èµ·ãã fact7: èãå±ããããšãšããŸããããšããããšãçºçãã fact8: éé³¥ã奮ãèµ·ã€ããšãèµ·ãã fact9: ãããããããããšããããšã§ã¯ãªãããŸããããšããããšã¯èµ·ããããšããããšã¯æãç«ããªããªãã°ããŸããããšããããšãèµ·ããªã fact10: ãçŠäºçæžçäŒç
é¢ã«ããŸãããããšã¯çºçããããšããããšã¯ééãã§ãªã fact11: ãããããšããããšãçãã fact12: ç«æ¥ã¯èµ·ãã fact13: ããæèšã¯èµ·ãããªããªãã°ãèãå±ããããšãšããŸããããšããããšäž¡æ¹ã¯çºçããããšããããšãæãç«ã€ãšããããšã¯ãªã fact14: å»åãçãã fact15: è¡ãããããšã¯èµ·ãã fact16: è
ä¹±ãèµ·ãã fact17: ããããŸãããšããããšã¯èµ·ãã fact18: ãèãå±ããããšãçããããšããããšã¯æãç«ã€ fact19: è¥¿å€§æ± ã«ãããããããšã¯çãã fact20: ããããŸããããšããããšã¯çããªããªãã°çŠäºçæžçäŒç
é¢ã«ããŸãããããšãšèãå±ããããšã¯çãã | fact1: {E} -> (¬{D} & ¬{C}) fact2: {CN} fact3: {HL} fact4: ¬({A} & {B}) -> ¬{B} fact5: ¬{G} -> ({E} & {F}) fact6: {GG} fact7: ({A} & {B}) fact8: {AS} fact9: ¬(¬{D} & {B}) -> ¬{B} fact10: {DI} fact11: {EJ} fact12: {FO} fact13: ¬{C} -> ¬({A} & {B}) fact14: {BG} fact15: {IG} fact16: {CB} fact17: {EQ} fact18: {A} fact19: {FR} fact20: ¬{B} -> ({DI} & {A}) | [
"fact7 -> hypothesis;"
] | [
"fact7 -> hypothesis;"
] | çŠäºçæžçäŒç
é¢ã«ããŸãããããšãçãã | {DI} | [] | 7 | 1 | 1 | 19 | 0 | 19 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã¢ã°ãªãŒã¡ã³ãããããããããšããããšãèµ·ãããªããæèšã¯èµ·ããªãããšããããšããããã fact2: å°æ°å³ãããšããããšã¯èµ·ãã fact3: ã¬ã¿ã¬ã¿ã¯èµ·ãã fact4: ãããèãå±ããããšãšããŸããããšããããšäž¡æ¹ã¯èµ·ããããšããããšãäºå®ãšç°ãªãã°ããŸããããšããããšã¯çºçããªã fact5: ãããã©ããšããããšã¯èµ·ãããªãããšããããšã¯ãã¢ã°ãªãŒã¡ã³ããšãããããšäž¡æ¹ãçºçããããšããããšã«åž°çµãã fact6: å€æ³ã¯èµ·ãã fact7: èãå±ããããšãšããŸããããšããããšãçºçãã fact8: éé³¥ã奮ãèµ·ã€ããšãèµ·ãã fact9: ãããããããããšããããšã§ã¯ãªãããŸããããšããããšã¯èµ·ããããšããããšã¯æãç«ããªããªãã°ããŸããããšããããšãèµ·ããªã fact10: ãçŠäºçæžçäŒç
é¢ã«ããŸãããããšã¯çºçããããšããããšã¯ééãã§ãªã fact11: ãããããšããããšãçãã fact12: ç«æ¥ã¯èµ·ãã fact13: ããæèšã¯èµ·ãããªããªãã°ãèãå±ããããšãšããŸããããšããããšäž¡æ¹ã¯çºçããããšããããšãæãç«ã€ãšããããšã¯ãªã fact14: å»åãçãã fact15: è¡ãããããšã¯èµ·ãã fact16: è
ä¹±ãèµ·ãã fact17: ããããŸãããšããããšã¯èµ·ãã fact18: ãèãå±ããããšãçããããšããããšã¯æãç«ã€ fact19: è¥¿å€§æ± ã«ãããããããšã¯çãã fact20: ããããŸããããšããããšã¯çããªããªãã°çŠäºçæžçäŒç
é¢ã«ããŸãããããšãšèãå±ããããšã¯çãã ; $hypothesis$ = ããŸããããšããããšã¯çãã ; $proof$ = | fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: {E} -> (¬{D} & ¬{C}) fact2: {CN} fact3: {HL} fact4: ¬({A} & {B}) -> ¬{B} fact5: ¬{G} -> ({E} & {F}) fact6: {GG} fact7: ({A} & {B}) fact8: {AS} fact9: ¬(¬{D} & {B}) -> ¬{B} fact10: {DI} fact11: {EJ} fact12: {FO} fact13: ¬{C} -> ¬({A} & {B}) fact14: {BG} fact15: {IG} fact16: {CB} fact17: {EQ} fact18: {A} fact19: {FR} fact20: ¬{B} -> ({DI} & {A}) ; $hypothesis$ = {B} ; $proof$ = | fact7 -> hypothesis; __PROVED__ |
0.3 | æãå€ããšããããšã¯çããªã | ¬{A} | fact1: ããããããããšããããšã¯èµ·ããªããªãã°ãèãé£ããšããããšãèµ·ãããæ°å³ãæªããšããããšãèµ·ãããªãããšããããšã¯æãç«ããªã fact2: 幜æã«ããã£ã¡ãã匵ãããšã¯çºçãã fact3: æå±ããªãã¹ããŠãããšãçãã fact4: åŒæ³å±±ããã£ããããšãçºçãã fact5: ãããèŒçœããšããããšãèµ·ããããããã¯ã«ãŒãã³ã¯çããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°é¢ä¹³ã¯çããªã fact6: ããæãŠããªããšããããšãçºçããªããªãã°ããã€ã¶ããããšã§ã¯ãªãæ²¹ã£ãããšããããšãçãã fact7: ãããã£èŸããšããããšã¯çºçããªãããšããããšã¯æãŠããªããšããããšãé²ã fact8: ãããæãå€ããšããããšãçãããå°é¡å±±ã«æãããããããšã¯èµ·ããªãããšããããšãæãç«ããªããªãã°ãæãå€ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ fact9: ãæãå€ããšããããšãèµ·ãããªãããšããããšãã¯ãªã¯ã ãããšããããšãèµ·ããªããšããããšãææ¢ãã fact10: ããéè¡ã¯èµ·ããã°ããèŒçœããšããããšãçãããã«ãŒãã³ã¯çºçããªãããšããããšãåœã ããšããããšãäºå®ã fact11: ããã¯ã¯çºçãããšããããšããæãå€ããšããããšã¯çããªãããšããããšã®åå ãšãªã fact12: ãããããã€ã¶ããããšã¯çºçããªãããšããããšãçå®ãªãã°ãã£ããªããšããããšã¯èµ·ãããè²æ¬²ãèµ·ãã fact13: ãããèãé£ããšããããšã¯çºçããããããæ°å³ãæªããšããããšãçºçããªãããšããããšãæãç«ã€ãšããããšããªããªãã°ããã£èŸããšããããšã¯èµ·ãããªã fact14: ããããã¯ãçããã°ããæãå€ããšããããšã¯èµ·ãããå°é¡å±±ã«æãããããããšãèµ·ããªãããšããããšãæãç«ã€ããšããããšã¯äºå®ã ãšããããšããªã fact15: ã干也ããèµ·ããããšããããšãæ£ãã fact16: ããé¢ä¹³ãèµ·ãããªããªãã°ããã¯ãšçã ãããšããããšãçºçãã fact17: ãããããããšããããšãçããªããŠéè¡ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°éè¡ã¯èµ·ãã fact18: ãããã£ããªããšããããšã¯çããã°ãããããšããããšã¯èµ·ãããªããŠéè¡ãèµ·ããªãããšããããšã¯æãç«ã€ãšããããšããªã | fact1: ¬{R} -> ¬({Q} & ¬{P}) fact2: {GF} fact3: {GL} fact4: {FM} fact5: ¬({G} v ¬{F}) -> ¬{E} fact6: ¬{N} -> (¬{L} & {M}) fact7: ¬{O} -> ¬{N} fact8: ¬({A} & ¬{C}) -> ¬{A} fact9: ¬{A} -> {FI} fact10: {H} -> ¬({G} v ¬{F}) fact11: {B} -> ¬{A} fact12: ¬{L} -> ({J} & {K}) fact13: ¬({Q} & ¬{P}) -> ¬{O} fact14: {B} -> ¬({A} & ¬{C}) fact15: {HU} fact16: ¬{E} -> ({B} & {D}) fact17: ¬(¬{I} & ¬{H}) -> {H} fact18: {J} -> ¬(¬{I} & ¬{H}) | [] | [] | æãå€ããšããããšã¯çºçããªã | ¬{A} | [] | 17 | 1 | null | 18 | 0 | 18 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããããããšããããšã¯èµ·ããªããªãã°ãèãé£ããšããããšãèµ·ãããæ°å³ãæªããšããããšãèµ·ãããªãããšããããšã¯æãç«ããªã fact2: 幜æã«ããã£ã¡ãã匵ãããšã¯çºçãã fact3: æå±ããªãã¹ããŠãããšãçãã fact4: åŒæ³å±±ããã£ããããšãçºçãã fact5: ãããèŒçœããšããããšãèµ·ããããããã¯ã«ãŒãã³ã¯çããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°é¢ä¹³ã¯çããªã fact6: ããæãŠããªããšããããšãçºçããªããªãã°ããã€ã¶ããããšã§ã¯ãªãæ²¹ã£ãããšããããšãçãã fact7: ãããã£èŸããšããããšã¯çºçããªãããšããããšã¯æãŠããªããšããããšãé²ã fact8: ãããæãå€ããšããããšãçãããå°é¡å±±ã«æãããããããšã¯èµ·ããªãããšããããšãæãç«ããªããªãã°ãæãå€ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ fact9: ãæãå€ããšããããšãèµ·ãããªãããšããããšãã¯ãªã¯ã ãããšããããšãèµ·ããªããšããããšãææ¢ãã fact10: ããéè¡ã¯èµ·ããã°ããèŒçœããšããããšãçãããã«ãŒãã³ã¯çºçããªãããšããããšãåœã ããšããããšãäºå®ã fact11: ããã¯ã¯çºçãããšããããšããæãå€ããšããããšã¯çããªãããšããããšã®åå ãšãªã fact12: ãããããã€ã¶ããããšã¯çºçããªãããšããããšãçå®ãªãã°ãã£ããªããšããããšã¯èµ·ãããè²æ¬²ãèµ·ãã fact13: ãããèãé£ããšããããšã¯çºçããããããæ°å³ãæªããšããããšãçºçããªãããšããããšãæãç«ã€ãšããããšããªããªãã°ããã£èŸããšããããšã¯èµ·ãããªã fact14: ããããã¯ãçããã°ããæãå€ããšããããšã¯èµ·ãããå°é¡å±±ã«æãããããããšãèµ·ããªãããšããããšãæãç«ã€ããšããããšã¯äºå®ã ãšããããšããªã fact15: ã干也ããèµ·ããããšããããšãæ£ãã fact16: ããé¢ä¹³ãèµ·ãããªããªãã°ããã¯ãšçã ãããšããããšãçºçãã fact17: ãããããããšããããšãçããªããŠéè¡ã¯çããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°éè¡ã¯èµ·ãã fact18: ãããã£ããªããšããããšã¯çããã°ãããããšããããšã¯èµ·ãããªããŠéè¡ãèµ·ããªãããšããããšã¯æãç«ã€ãšããããšããªã ; $hypothesis$ = æãå€ããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{R} -> ¬({Q} & ¬{P}) fact2: {GF} fact3: {GL} fact4: {FM} fact5: ¬({G} v ¬{F}) -> ¬{E} fact6: ¬{N} -> (¬{L} & {M}) fact7: ¬{O} -> ¬{N} fact8: ¬({A} & ¬{C}) -> ¬{A} fact9: ¬{A} -> {FI} fact10: {H} -> ¬({G} v ¬{F}) fact11: {B} -> ¬{A} fact12: ¬{L} -> ({J} & {K}) fact13: ¬({Q} & ¬{P}) -> ¬{O} fact14: {B} -> ¬({A} & ¬{C}) fact15: {HU} fact16: ¬{E} -> ({B} & {D}) fact17: ¬(¬{I} & ¬{H}) -> {H} fact18: {J} -> ¬(¬{I} & ¬{H}) ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®çãäžã¯éªå粧ã«è£ãåããªãããããèŠèŠãããšããããšããªã | (¬{AA}{a} & ¬{AB}{a}) | fact1: ãããããã®ã¯å®å£«ã§ãªããªãã°ãããã¯é«ããããã¯ä¹ãããšããããšãåã fact2: ãããäœããèŠèŠã§ãã£ãŠå®å£«ãªãã®ããšããããšã¯åœãªãã°ããã¯å®å£«ã§ãªã fact3: ãã®ãã«ã³ã¯å€¥ãã fact4: ãããã®çãäžãåŸé£ããªãã°ãã®èžè
ã¯æžæŸ€ã fact5: ãã®çãäžã¯èŠèŠãããªãããããã¡ãããšããããšã¯ãªã fact6: ããäœãã¯ã»ã©ãããšããããšããªããªãã°ããããåŸé£ããšããããšã¯ãªããŠããã¯æåãããšããããšããªãããšããããšãééãã fact7: ãããããã®å®å®¶ãé«ããŠä¹ãããšããããšã¯æãç«ã€ããšããããšãåãªãã°ãã®å°è»ãã»ã©ãããšããããšã¯ãªã fact8: ããããåŸé£ããšããããšããªããŠæåãããšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ã¯ããã°ãã®çãäžãåŸé£ã fact9: ããã¯ãªã°ãªãããšããããšã¯ãªããã®ã¯äžåœå¿è±éäŒã«è蟌ãã°ããã¯çŸããäžã«å²ããªã fact10: ãã®çãäžãæžæŸ€ã fact11: ãããã®ãã«ã³ãçŸããäžã«å²ãããšããããšããªããªãã°ããã®ææããã¯æš¹äžã§ãã£ãŠæ¢šãæšå³ ãããã°ãããã®ããšããããšãæãç«ããªã fact12: ããããæš¹äžã§æ¢šãæšå³ ãããã°ããããšããããšã¯æãç«ã€ãšããããšããªãããã®ãããã°ãã®å®å®¶ã¯æš¹äžã ãšããããšããªã fact13: ãããã®ãã«ã³ã倥ãããªãã°ããã¯ã¯ãªã°ãªãããšããããšã¯ãªããŠäžåœå¿è±éäŒã«è蟌ã fact14: ããäœããæš¹äžã§ãªããªãã°ããããèŠèŠã§å®å£«ã ããšããããšãæ£ãããªã | fact1: (x): ¬{G}x -> ¬({E}x & {F}x) fact2: (x): ¬({I}x & {G}x) -> ¬{G}x fact3: {N}{e} fact4: {B}{a} -> {A}{ih} fact5: (¬{AB}{a} & ¬{BC}{a}) fact6: (x): ¬{D}x -> ¬(¬{B}x & ¬{C}x) fact7: ¬({E}{c} & {F}{c}) -> ¬{D}{b} fact8: (x): ¬(¬{B}x & ¬{C}x) -> {B}{a} fact9: (x): (¬{M}x & {L}x) -> ¬{J}x fact10: {A}{a} fact11: ¬{J}{e} -> ¬({H}{d} & {K}{d}) fact12: (x): ¬({H}x & {K}x) -> ¬{H}{c} fact13: {N}{e} -> (¬{M}{e} & {L}{e}) fact14: (x): ¬{H}x -> ¬({I}x & {G}x) | [] | [] | ãã®èžè
ã¯æžæŸ€ã | {A}{ih} | [
"fact25 -> int1: ãããã®å°è»ã¯ã»ã©ãããšããããšã¯ãªããªãã°ããããåŸé£ããšããããšã¯ãªããã®ã§ãã£ãŠæåãããšããããšã¯ãªããã®ããšããããšãåã ; fact17 -> int2: ãããã®å®å®¶ãå®å£«ã ãšããããšã¯ãªããªãã°ããããã¯é«ããããã¯ä¹ãããšããããšã¯äºå®ã ããšããããšãäºå®ãšç°ãªã; fact18 -> int3: ããããã®å®å®¶ãèŠèŠã§ããã¯å®å£«ã ããšããããšãæ¬åœã ãšããããšã¯ãªããªãã°ããã¯å®å£«ã§ãªã; fact16 -> int4: ãããã®å®å®¶ãæš¹äžã ãšããããšããªããªãã°ãããã¯èŠèŠã§ãã£ãŠå®å£«ãªãã®ããšããããšãåã ; fact26 -> int5: ãããã®ãã«ã³ã¯ã¯ãªã°ãªãããšããããšã¯ãªããããããããäžåœå¿è±éäŒã«è蟌ãã°ãããã¯çŸããäžã«å²ããªãããšããããšãçå®ã ; fact19 & fact15 -> int6: ãã®ãã«ã³ã¯ã¯ãªã°ãªãããªããäžåœå¿è±éäŒã«è蟌ã; int5 & int6 -> int7: ãã®ãã«ã³ãçŸããäžã«å²ãããšããããšããªã; fact24 & int7 -> int8: ããã®ææããã¯æš¹äžã ã梚ãæšå³ ãããã°ããããšããããšãæãç«ã€ãšããããšã¯ãªã; int8 -> int9: ããæš¹äžã§ãã£ãŠæ¢šãæšå³ ãããã°ãããã®ããšããããšãäºå®ã§ãªãããã®ã¯ãã; int9 & fact21 -> int10: ãã®å®å®¶ã¯æš¹äžã ãšããããšã¯ãªã; int4 & int10 -> int11: ããã®å®å®¶ãèŠèŠã§ããã¯å®å£«ã ããšããããšã誀ãã ; int3 & int11 -> int12: ãã®å®å®¶ã¯å®å£«ã ãšããããšããªã; int2 & int12 -> int13: ãããã®å®å®¶ã¯é«ããŠããã¯ä¹ãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšãæ£ãã; fact20 & int13 -> int14: ãã®å°è»ã¯ã»ã©ãããšããããšã¯ãªã; int1 & int14 -> int15: ããã®å°è»ã¯åŸé£ããªããããã¯æåãããšããããšã¯ãªãããšããããšã¯èª€ãã ; int15 -> int16: ããåŸé£ããªããŠæåãããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšããªãããã®ã¯ãã; int16 & fact23 -> int17: ãã®çãäžã¯åŸé£ã; fact22 & int17 -> hypothesis;"
] | 13 | 1 | null | 13 | 0 | 13 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããããã®ã¯å®å£«ã§ãªããªãã°ãããã¯é«ããããã¯ä¹ãããšããããšãåã fact2: ãããäœããèŠèŠã§ãã£ãŠå®å£«ãªãã®ããšããããšã¯åœãªãã°ããã¯å®å£«ã§ãªã fact3: ãã®ãã«ã³ã¯å€¥ãã fact4: ãããã®çãäžãåŸé£ããªãã°ãã®èžè
ã¯æžæŸ€ã fact5: ãã®çãäžã¯èŠèŠãããªãããããã¡ãããšããããšã¯ãªã fact6: ããäœãã¯ã»ã©ãããšããããšããªããªãã°ããããåŸé£ããšããããšã¯ãªããŠããã¯æåãããšããããšããªãããšããããšãééãã fact7: ãããããã®å®å®¶ãé«ããŠä¹ãããšããããšã¯æãç«ã€ããšããããšãåãªãã°ãã®å°è»ãã»ã©ãããšããããšã¯ãªã fact8: ããããåŸé£ããšããããšããªããŠæåãããšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ã¯ããã°ãã®çãäžãåŸé£ã fact9: ããã¯ãªã°ãªãããšããããšã¯ãªããã®ã¯äžåœå¿è±éäŒã«è蟌ãã°ããã¯çŸããäžã«å²ããªã fact10: ãã®çãäžãæžæŸ€ã fact11: ãããã®ãã«ã³ãçŸããäžã«å²ãããšããããšããªããªãã°ããã®ææããã¯æš¹äžã§ãã£ãŠæ¢šãæšå³ ãããã°ãããã®ããšããããšãæãç«ããªã fact12: ããããæš¹äžã§æ¢šãæšå³ ãããã°ããããšããããšã¯æãç«ã€ãšããããšããªãããã®ãããã°ãã®å®å®¶ã¯æš¹äžã ãšããããšããªã fact13: ãããã®ãã«ã³ã倥ãããªãã°ããã¯ã¯ãªã°ãªãããšããããšã¯ãªããŠäžåœå¿è±éäŒã«è蟌ã fact14: ããäœããæš¹äžã§ãªããªãã°ããããèŠèŠã§å®å£«ã ããšããããšãæ£ãããªã ; $hypothesis$ = ãã®çãäžã¯éªå粧ã«è£ãåããªãããããèŠèŠãããšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{G}x -> ¬({E}x & {F}x) fact2: (x): ¬({I}x & {G}x) -> ¬{G}x fact3: {N}{e} fact4: {B}{a} -> {A}{ih} fact5: (¬{AB}{a} & ¬{BC}{a}) fact6: (x): ¬{D}x -> ¬(¬{B}x & ¬{C}x) fact7: ¬({E}{c} & {F}{c}) -> ¬{D}{b} fact8: (x): ¬(¬{B}x & ¬{C}x) -> {B}{a} fact9: (x): (¬{M}x & {L}x) -> ¬{J}x fact10: {A}{a} fact11: ¬{J}{e} -> ¬({H}{d} & {K}{d}) fact12: (x): ¬({H}x & {K}x) -> ¬{H}{c} fact13: {N}{e} -> (¬{M}{e} & {L}{e}) fact14: (x): ¬{H}x -> ¬({I}x & {G}x) ; $hypothesis$ = (¬{AA}{a} & ¬{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | å
¬è¡šã¯çããªã | ¬{A} | fact1: å
¬è¡šãšæŒé ãããšäž¡æ¹ãèµ·ãã fact2: ãæŒé ãããšã¯çããããšããããšãçå®ã fact3: éè¡ãçºçãã | fact1: ({A} & {B}) fact2: {B} fact3: {JD} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: å
¬è¡šãšæŒé ãããšäž¡æ¹ãèµ·ãã fact2: ãæŒé ãããšã¯çããããšããããšãçå®ã fact3: éè¡ãçºçãã ; $hypothesis$ = å
¬è¡šã¯çããªã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {B} fact3: {JD} ; $hypothesis$ = ¬{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®äžé ã瞮緬ééã ãšããããšã¯ãªã | ¬{B}{a} | fact1: ã瞮緬ééã ãšããããšã¯ãªãããã®ã¯ãã fact2: ãããã®æ ¹æºã¯æãç®±ã«è±ãªãã°ãããã¯é£¯æ£®å±±ãèµ€ã¿ãããã寵ããªãããšããããšã¯åœã fact3: ãããããã®ã寵ããªããªãã°ãã®äžé ã¯çž®ç·¬ééã§ãªã fact4: ãã寵ããªãããšããããšãæ£ããããã®ããã | fact1: (Ex): ¬{B}x fact2: {D}{b} -> ¬({C}{b} & ¬{A}{b}) fact3: (x): ¬{A}x -> ¬{B}{a} fact4: (Ex): ¬{A}x | [
"fact4 & fact3 -> hypothesis;"
] | [
"fact4 & fact3 -> hypothesis;"
] | ãã®äžé ã瞮緬ééã | {B}{a} | [] | 6 | 1 | 1 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã瞮緬ééã ãšããããšã¯ãªãããã®ã¯ãã fact2: ãããã®æ ¹æºã¯æãç®±ã«è±ãªãã°ãããã¯é£¯æ£®å±±ãèµ€ã¿ãããã寵ããªãããšããããšã¯åœã fact3: ãããããã®ã寵ããªããªãã°ãã®äžé ã¯çž®ç·¬ééã§ãªã fact4: ãã寵ããªãããšããããšãæ£ããããã®ããã ; $hypothesis$ = ãã®äžé ã瞮緬ééã ãšããããšã¯ãªã ; $proof$ = | fact4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): ¬{B}x fact2: {D}{b} -> ¬({C}{b} & ¬{A}{b}) fact3: (x): ¬{A}x -> ¬{B}{a} fact4: (Ex): ¬{A}x ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ããã¬ããŒã¯ã³ã¢ãã | {A}{a} | fact1: ãããã®èªã¿ç©ã¯å°Ÿäžã ããããã£ãœããšããããšããªããªãã°ãã®å°æ»ã¯å°Ÿäžã ãšããããšã¯ãªã fact2: ãããã®æ¹¯ã¯èããªãã°ãã®èªã¿ç©ã¯å°Ÿäžã§ãã£ãŠãããã£ãœããªããã® fact3: ãããããã®ããã¡ããã©ãããããªããªãã°ããããä¹
ãããŠããŸããŸããããšããããšã¯åœã fact4: ãããã®èªã¿ç©ãããŸããŸãããªããçŽåã§ããããããã¯äž¡æ¹ãªãã°ãã®å°æ»ãçŽåã ãšããããšã¯ãªã fact5: ãã®èª¿çå Žã人æãã fact6: ãããããã®ããã¬ããŒãå°Ÿäžã§ããããã°ããšããããšã¯ãªããäž¡æ¹ã ããšããããšãæãç«ã€ãšããããšããªããªãã°ãã®èª¿çå Žãèãã ããšããããšã¯åœã§ãªã fact7: ãã®èªã¿ç©ã楯çªããªããããããã¡ããã©ãããããšããããšã¯ãªã fact8: ããããã®èªã¿ç©ãä¹
ãããŠãããããŸããŸããããšããããšã¯æãç«ããªããªãã°ãããããŸããŸãããªã fact9: ãããã®å°æ»ãçŽåã ãšããããšããªããªãã°ãã®ããã¬ããŒã¯ãããã£ãœã fact10: ãã®çŽå·»ãã¯å°ãããããããããããèå³æ·±ããªã fact11: 人æãããã®ã¯ã³ã¢ãã§ãªãããããå°ãããã fact12: ããäœãããããã£ãœããªãã°ãããã¯å°Ÿäžã§ããããããã¯ããããã°ããšããããšã¯ãªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªã fact13: ããäœããã³ã¢ãã§ãªãããããããã¯å°ãããããªãã°ãããã«åããªã fact14: ãã®ããã¬ããŒã¯å°ãããããšããããšã¯ãªã | fact1: ({D}{c} & ¬{F}{c}) -> ¬{D}{b} fact2: {E}{d} -> ({D}{c} & ¬{F}{c}) fact3: (x): ¬{J}x -> ¬({K}x & {I}x) fact4: (¬{I}{c} v {H}{c}) -> ¬{H}{b} fact5: {G}{bu} fact6: ¬({D}{a} v ¬{C}{a}) -> {E}{bu} fact7: (¬{L}{c} & ¬{J}{c}) fact8: ¬({K}{c} & {I}{c}) -> ¬{I}{c} fact9: ¬{H}{b} -> {F}{a} fact10: ({B}{il} & ¬{FA}{il}) fact11: (x): {G}x -> (¬{A}x & {B}x) fact12: (x): {F}x -> ¬({D}x v ¬{C}x) fact13: (x): (¬{A}x & {B}x) -> ¬{AQ}x fact14: ¬{B}{a} | [] | [] | ãã®èª¿çå Žãèãã ãã«åããšããããšããªã | ({E}{bu} & ¬{AQ}{bu}) | [
"fact15 -> int1: ãããã®ããã¬ããŒããããã£ãœããªãã°ããããå°Ÿäžã§ããããããã¯ãã°ããªãããããã¯äž¡æ¹ã ããšããããšã¯ééãã ; fact23 -> int2: ãããã®èªã¿ç©ã¯ãã¡ããã©ãããããšããããšããªããªãã°ãããããä¹
ãããããŸããŸããããšããããšã¯æãç«ã€ããšããããšã¯åœã ; fact24 -> int3: ãã®èªã¿ç©ã¯ãã¡ããã©ãããããšããããšããªã; int2 & int3 -> int4: ããã®èªã¿ç©ãä¹
ãããããã¯ããŸããŸããããšããããšãåã ; fact16 & int4 -> int5: ãã®èªã¿ç©ãããŸããŸãããªã; int5 -> int6: ãã®èªã¿ç©ãããŸããŸãããªãããããã¯ãããçŽåã§ããããããã¯äž¡æ¹ã ; fact21 & int6 -> int7: ãã®å°æ»ã¯çŽåã§ãªã; fact17 & int7 -> int8: ããã®ããã¬ããŒããããã£ãœãããšããããšãæ¬åœã ; int1 & int8 -> int9: ããã®ããã¬ããŒãå°Ÿäžã§ããããããã¯ããããã°ããšããããšããªãããšããããšã¯åœã ; fact22 & int9 -> int10: ãã®èª¿çå Žãèãã ; fact19 -> int11: ãããã®èª¿çå Žãã³ã¢ãã ãšããããšããªããããã¯å°ãããããªãã°ãããã¯ïŒ©ïŒ¯ïŒ£ã«åããªãããšããããšã¯æ¬åœã ; fact20 -> int12: ãããã®èª¿çå Žã人æãããªãã°ããã¯ã³ã¢ãã ãšããããšã¯ãªãããããå°ãããã; int12 & fact18 -> int13: ãã®èª¿çå Žã¯ã³ã¢ãã§ãªãããããããã¯å°ãããã; int11 & int13 -> int14: ãã®èª¿çå Žã¯ïŒ©ïŒ¯ïŒ£ã«åããªã; int10 & int14 -> hypothesis;"
] | 9 | 1 | null | 14 | 0 | 14 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããã®èªã¿ç©ã¯å°Ÿäžã ããããã£ãœããšããããšããªããªãã°ãã®å°æ»ã¯å°Ÿäžã ãšããããšã¯ãªã fact2: ãããã®æ¹¯ã¯èããªãã°ãã®èªã¿ç©ã¯å°Ÿäžã§ãã£ãŠãããã£ãœããªããã® fact3: ãããããã®ããã¡ããã©ãããããªããªãã°ããããä¹
ãããŠããŸããŸããããšããããšã¯åœã fact4: ãããã®èªã¿ç©ãããŸããŸãããªããçŽåã§ããããããã¯äž¡æ¹ãªãã°ãã®å°æ»ãçŽåã ãšããããšã¯ãªã fact5: ãã®èª¿çå Žã人æãã fact6: ãããããã®ããã¬ããŒãå°Ÿäžã§ããããã°ããšããããšã¯ãªããäž¡æ¹ã ããšããããšãæãç«ã€ãšããããšããªããªãã°ãã®èª¿çå Žãèãã ããšããããšã¯åœã§ãªã fact7: ãã®èªã¿ç©ã楯çªããªããããããã¡ããã©ãããããšããããšã¯ãªã fact8: ããããã®èªã¿ç©ãä¹
ãããŠãããããŸããŸããããšããããšã¯æãç«ããªããªãã°ãããããŸããŸãããªã fact9: ãããã®å°æ»ãçŽåã ãšããããšããªããªãã°ãã®ããã¬ããŒã¯ãããã£ãœã fact10: ãã®çŽå·»ãã¯å°ãããããããããããèå³æ·±ããªã fact11: 人æãããã®ã¯ã³ã¢ãã§ãªãããããå°ãããã fact12: ããäœãããããã£ãœããªãã°ãããã¯å°Ÿäžã§ããããããã¯ããããã°ããšããããšã¯ãªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªã fact13: ããäœããã³ã¢ãã§ãªãããããããã¯å°ãããããªãã°ãããã«åããªã fact14: ãã®ããã¬ããŒã¯å°ãããããšããããšã¯ãªã ; $hypothesis$ = ãã®ããã¬ããŒã¯ã³ã¢ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({D}{c} & ¬{F}{c}) -> ¬{D}{b} fact2: {E}{d} -> ({D}{c} & ¬{F}{c}) fact3: (x): ¬{J}x -> ¬({K}x & {I}x) fact4: (¬{I}{c} v {H}{c}) -> ¬{H}{b} fact5: {G}{bu} fact6: ¬({D}{a} v ¬{C}{a}) -> {E}{bu} fact7: (¬{L}{c} & ¬{J}{c}) fact8: ¬({K}{c} & {I}{c}) -> ¬{I}{c} fact9: ¬{H}{b} -> {F}{a} fact10: ({B}{il} & ¬{FA}{il}) fact11: (x): {G}x -> (¬{A}x & {B}x) fact12: (x): {F}x -> ¬({D}x v ¬{C}x) fact13: (x): (¬{A}x & {B}x) -> ¬{AQ}x fact14: ¬{B}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | æ¹åã¯çºçããªã | ¬{B} | fact1: ãããã³ããçããªããªãã°äºæ¥ãèµ·ãããããããã ãããšããããšãçãã fact2: äºç¥ãçããªã fact3: ãäºæ¥ã¯èµ·ããããšããããšã¯ããããããšããããšãèµ·ããªãããã€ãããšããããšãèµ·ããããšããããšãæã fact4: åŠæç¡ããšããããšãçãã fact5: åæã«è¢«ãããšãšæ¹¯æµŽã¿ãçãã fact6: ç¡æšãèµ·ãã fact7: æå
¥ããæãè¿ããããšãèµ·ããã倧殿ç¯ãããšã¯èµ·ãã fact8: ããç
ãããšã¯çºçããã°æ¹åãçããªããŠåŠæç¡ããšããããšã¯çºçãã fact9: ãããããããšããããšã¯çããªããªãã°äºç¥ãšã®ãã°ãããšäž¡æ¹ãçºçãã fact10: ããããããããšããããšãšã®ãã°ãããšäž¡æ¹ã¯çããããšããããšã¯æãç«ããªããªãã°ãæ¹åãèµ·ãããªãããšããããšã¯æ¬åœã fact11: ããããŸããªããšããããšãçºçãããç»ããããšã¯çãã fact12: ãã管çãåã¿åããããšã¯çºçããªããªãã°ãå°Ÿç°ã«å¿ãããšã¯çããªããŠæ¥ç»ã¯çããããšããããšãééãã fact13: ã波浪ãšåŠæç¡ããšããããšäž¡æ¹ãçºçããããšããããšã¯ãæ¹åã¯çºçããªãããšããããšã«ç±æ¥ãã fact14: ãç
ãããšãçºçããããšããããšã¯äºç¥ãåå ã fact15: åŠæç¡ããšããããšãšæ¹åãçºçãã fact16: ãããå°Ÿç°ã«å¿ãããšã¯èµ·ãããªããŠæ¥ç»ãçºçããããšããããšã誀ããªãã°ãã³ããèµ·ãããªã | fact1: ¬{J} -> ({H} & {I}) fact2: ¬{D} fact3: {H} -> (¬{F} & {G}) fact4: {A} fact5: ({GH} & {JA}) fact6: {EC} fact7: ({BC} & {JD}) fact8: {C} -> (¬{B} & {A}) fact9: ¬{F} -> ({D} & {E}) fact10: ¬({F} & {E}) -> ¬{B} fact11: ({EI} & {EU}) fact12: ¬{M} -> ¬(¬{L} & {K}) fact13: ¬{B} -> ({DB} & {A}) fact14: {D} -> {C} fact15: ({A} & {B}) fact16: ¬(¬{L} & {K}) -> ¬{J} | [
"fact15 -> hypothesis;"
] | [
"fact15 -> hypothesis;"
] | çœå€ãšæ³¢æµªäž¡æ¹ã¯èµ·ãã | ({AP} & {DB}) | [] | 6 | 1 | 1 | 15 | 0 | 15 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã³ããçããªããªãã°äºæ¥ãèµ·ãããããããã ãããšããããšãçãã fact2: äºç¥ãçããªã fact3: ãäºæ¥ã¯èµ·ããããšããããšã¯ããããããšããããšãèµ·ããªãããã€ãããšããããšãèµ·ããããšããããšãæã fact4: åŠæç¡ããšããããšãçãã fact5: åæã«è¢«ãããšãšæ¹¯æµŽã¿ãçãã fact6: ç¡æšãèµ·ãã fact7: æå
¥ããæãè¿ããããšãèµ·ããã倧殿ç¯ãããšã¯èµ·ãã fact8: ããç
ãããšã¯çºçããã°æ¹åãçããªããŠåŠæç¡ããšããããšã¯çºçãã fact9: ãããããããšããããšã¯çããªããªãã°äºç¥ãšã®ãã°ãããšäž¡æ¹ãçºçãã fact10: ããããããããšããããšãšã®ãã°ãããšäž¡æ¹ã¯çããããšããããšã¯æãç«ããªããªãã°ãæ¹åãèµ·ãããªãããšããããšã¯æ¬åœã fact11: ããããŸããªããšããããšãçºçãããç»ããããšã¯çãã fact12: ãã管çãåã¿åããããšã¯çºçããªããªãã°ãå°Ÿç°ã«å¿ãããšã¯çããªããŠæ¥ç»ã¯çããããšããããšãééãã fact13: ã波浪ãšåŠæç¡ããšããããšäž¡æ¹ãçºçããããšããããšã¯ãæ¹åã¯çºçããªãããšããããšã«ç±æ¥ãã fact14: ãç
ãããšãçºçããããšããããšã¯äºç¥ãåå ã fact15: åŠæç¡ããšããããšãšæ¹åãçºçãã fact16: ãããå°Ÿç°ã«å¿ãããšã¯èµ·ãããªããŠæ¥ç»ãçºçããããšããããšã誀ããªãã°ãã³ããèµ·ãããªã ; $hypothesis$ = æ¹åã¯çºçããªã ; $proof$ = | fact15 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{J} -> ({H} & {I}) fact2: ¬{D} fact3: {H} -> (¬{F} & {G}) fact4: {A} fact5: ({GH} & {JA}) fact6: {EC} fact7: ({BC} & {JD}) fact8: {C} -> (¬{B} & {A}) fact9: ¬{F} -> ({D} & {E}) fact10: ¬({F} & {E}) -> ¬{B} fact11: ({EI} & {EU}) fact12: ¬{M} -> ¬(¬{L} & {K}) fact13: ¬{B} -> ({DB} & {A}) fact14: {D} -> {C} fact15: ({A} & {B}) fact16: ¬(¬{L} & {K}) -> ¬{J} ; $hypothesis$ = ¬{B} ; $proof$ = | fact15 -> hypothesis; __DISPROVED__ |
0.3 | ããããããšããããšã¯çºçããªããæã£ãšãæ©ããšããããšã¯èµ·ãããªã | (¬{AA} & ¬{AB}) | fact1: å¥æ³ãèµ·ããªããšããããšããããããããšããããšã¯èµ·ãããªããŠæã£ãšãæ©ããšããããšãçºçããªãããšããããšãæã fact2: æã£ãšãæ©ããšããããšãå¥æ³ãèµ·ããªããšããããšã«å¶æ¢ããã fact3: ãã矚ããšããããšãèµ·ãããªããªãã°å¥æ³ãšããã€ããšããããšãçãã fact4: ããå¥æ³ãçããã°ãããããããšããããšã¯èµ·ããªããæã£ãšãæ©ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact5: å¥æ³ãçºçããªã fact6: ãããããã€ããšããããšã¯çºçããªãããããã¯å¥æ³ãèµ·ããããšããããšã¯èª€ããªãã°å·»ãè¿ãã¯èµ·ãããªã fact7: æã£ãšãæ©ããšããããšã¯çºçããªã | fact1: ¬{A} -> (¬{AA} & ¬{AB}) fact2: ¬{A} -> ¬{AB} fact3: ¬{C} -> ({A} & {B}) fact4: {A} -> ¬(¬{AA} & ¬{AB}) fact5: ¬{A} fact6: ¬(¬{B} v {A}) -> ¬{ES} fact7: ¬{AB} | [
"fact1 & fact5 -> hypothesis;"
] | [
"fact1 & fact5 -> hypothesis;"
] | ãããããããšããããšã¯èµ·ãããªããŠæã£ãšãæ©ããšããããšã¯çããªãããšããããšã¯æãç«ããªã | ¬(¬{AA} & ¬{AB}) | [] | 7 | 1 | 1 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å¥æ³ãèµ·ããªããšããããšããããããããšããããšã¯èµ·ãããªããŠæã£ãšãæ©ããšããããšãçºçããªãããšããããšãæã fact2: æã£ãšãæ©ããšããããšãå¥æ³ãèµ·ããªããšããããšã«å¶æ¢ããã fact3: ãã矚ããšããããšãèµ·ãããªããªãã°å¥æ³ãšããã€ããšããããšãçãã fact4: ããå¥æ³ãçããã°ãããããããšããããšã¯èµ·ããªããæã£ãšãæ©ããšããããšã¯èµ·ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact5: å¥æ³ãçºçããªã fact6: ãããããã€ããšããããšã¯çºçããªãããããã¯å¥æ³ãèµ·ããããšããããšã¯èª€ããªãã°å·»ãè¿ãã¯èµ·ãããªã fact7: æã£ãšãæ©ããšããããšã¯çºçããªã ; $hypothesis$ = ããããããšããããšã¯çºçããªããæã£ãšãæ©ããšããããšã¯èµ·ãããªã ; $proof$ = | fact1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> (¬{AA} & ¬{AB}) fact2: ¬{A} -> ¬{AB} fact3: ¬{C} -> ({A} & {B}) fact4: {A} -> ¬(¬{AA} & ¬{AB}) fact5: ¬{A} fact6: ¬(¬{B} v {A}) -> ¬{ES} fact7: ¬{AB} ; $hypothesis$ = (¬{AA} & ¬{AB}) ; $proof$ = | fact1 & fact5 -> hypothesis; __PROVED__ |
0.3 | å
æŠãçããªã | ¬{B} | fact1: 倱æã¯çãã fact2: ãããããããããšã¯èµ·ããªããŠãã¶ããšããããšã¯èµ·ããªãããšããããšãåœã ããšããããšã¯æãç«ãŠã°ãããããšã¯çºçãã fact3: ãããã¶ããšããããšãçããªããªãã°é§ãããšã¯èµ·ããªããŠã©ã€ããŒã¯çºçããªã fact4: ãå
æŠãèµ·ããªãããã¶ããšããããšãèµ·ãããªãããšããããšã¯ããã¹ããŒã³ã¹ã¡ããã¯ã¹ãæããããšã¯èµ·ããããšããããšã«ãããããã fact5: èªè¡ã¯èµ·ãããšããããšãããã¶ããšããããšã¯çããªããŠç©æããšããããšã¯çããããšããããšã®ãã£ãããšãªã fact6: å¿èš±ãªããšããããšã¯èµ·ãã fact7: ããé§ãããšãèµ·ãããªããªãã°ãã¹ããŒã³ã¹ã¡ããã¯ã¹ãæããããšã¯èµ·ãããããŸã匷ããšããããšãèµ·ãã fact8: é çœããšããããšãçºçãã fact9: çã
ãããšããããšã¯èµ·ãã | fact1: {IH} fact2: ¬(¬{CA} & ¬{A}) -> {CA} fact3: ¬{G} -> (¬{E} & ¬{F}) fact4: {C} -> (¬{B} & ¬{A}) fact5: {I} -> (¬{G} & {H}) fact6: {BG} fact7: ¬{E} -> ({C} & {D}) fact8: {EA} fact9: {HI} | [] | [] | å
æŠãèµ·ãããªã | ¬{B} | [] | 9 | 1 | null | 9 | 0 | 9 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: 倱æã¯çãã fact2: ãããããããããšã¯èµ·ããªããŠãã¶ããšããããšã¯èµ·ããªãããšããããšãåœã ããšããããšã¯æãç«ãŠã°ãããããšã¯çºçãã fact3: ãããã¶ããšããããšãçããªããªãã°é§ãããšã¯èµ·ããªããŠã©ã€ããŒã¯çºçããªã fact4: ãå
æŠãèµ·ããªãããã¶ããšããããšãèµ·ãããªãããšããããšã¯ããã¹ããŒã³ã¹ã¡ããã¯ã¹ãæããããšã¯èµ·ããããšããããšã«ãããããã fact5: èªè¡ã¯èµ·ãããšããããšãããã¶ããšããããšã¯çããªããŠç©æããšããããšã¯çããããšããããšã®ãã£ãããšãªã fact6: å¿èš±ãªããšããããšã¯èµ·ãã fact7: ããé§ãããšãèµ·ãããªããªãã°ãã¹ããŒã³ã¹ã¡ããã¯ã¹ãæããããšã¯èµ·ãããããŸã匷ããšããããšãèµ·ãã fact8: é çœããšããããšãçºçãã fact9: çã
ãããšããããšã¯èµ·ãã ; $hypothesis$ = å
æŠãçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {IH} fact2: ¬(¬{CA} & ¬{A}) -> {CA} fact3: ¬{G} -> (¬{E} & ¬{F}) fact4: {C} -> (¬{B} & ¬{A}) fact5: {I} -> (¬{G} & {H}) fact6: {BG} fact7: ¬{E} -> ({C} & {D}) fact8: {EA} fact9: {HI} ; $hypothesis$ = ¬{B} ; $proof$ = | __UNKNOWN__ |
0.3 | å§çŽ°ã¯çããªããŠæ®ãä»ãã¯èµ·ããªã | (¬{AA} & ¬{AB}) | fact1: ãå§çŽ°ã¯çããªããŠæ®ãä»ããçºçããããšããããšã¯æãç«ã€ãšããããšããªã fact2: ãã空ãããšããããšãèµ·ããªããªãã°ãã匱ããšããããšã¯èµ·ãããªããŠæžç®ãé®ãŸãããšã¯èµ·ãããªãããšããããšã誀ãã fact3: ãå§çŽ°ãèµ·ãããæ®ãä»ãã¯çããªãããšããããšã¯æãç«ããªã fact4: ãé
ãã¯çºçãããå§çŽ°ãçºçããªãããšããããšã¯ãéèµ°ãèµ·ãããªãããšããããšã«èµ·å ãã fact5: ãããŒãã¬ãŒã¹ãèµ·ãããªããŠãŽãŒã«ãã³ã¿ã€ã ã«ãããããããšãçããªãããšããããšã誀ãã | fact1: ¬(¬{AA} & {AB}) fact2: ¬{A} -> ¬(¬{C} & ¬{EC}) fact3: ¬({AA} & ¬{AB}) fact4: ¬{E} -> ({B} & ¬{AA}) fact5: ¬(¬{IJ} & ¬{HQ}) | [] | [] | å§çŽ°ã¯èµ·ãããªããæ®ãä»ããçããªã | (¬{AA} & ¬{AB}) | [] | 4 | 1 | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãå§çŽ°ã¯çããªããŠæ®ãä»ããçºçããããšããããšã¯æãç«ã€ãšããããšããªã fact2: ãã空ãããšããããšãèµ·ããªããªãã°ãã匱ããšããããšã¯èµ·ãããªããŠæžç®ãé®ãŸãããšã¯èµ·ãããªãããšããããšã誀ãã fact3: ãå§çŽ°ãèµ·ãããæ®ãä»ãã¯çããªãããšããããšã¯æãç«ããªã fact4: ãé
ãã¯çºçãããå§çŽ°ãçºçããªãããšããããšã¯ãéèµ°ãèµ·ãããªãããšããããšã«èµ·å ãã fact5: ãããŒãã¬ãŒã¹ãèµ·ãããªããŠãŽãŒã«ãã³ã¿ã€ã ã«ãããããããšãçããªãããšããããšã誀ãã ; $hypothesis$ = å§çŽ°ã¯çããªããŠæ®ãä»ãã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA} & {AB}) fact2: ¬{A} -> ¬(¬{C} & ¬{EC}) fact3: ¬({AA} & ¬{AB}) fact4: ¬{E} -> ({B} & ¬{AA}) fact5: ¬(¬{IJ} & ¬{HQ}) ; $hypothesis$ = (¬{AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®æ¹¯ã¶ããæ²³éã ãšããããšã¯ãªã | ¬{B}{a} | fact1: å
šãŠã®ãã®ã¯ã¢ãã³å¹³ã fact2: ãããã®æ¹¯ã¶ããããã¥ãããªãã°ãããæ²³éã§ãªã fact3: ããäœããäºçŠã ãšããããšã¯ãªããªãã°ãããå°æ°å³ãããšããããšã¯ãªããŠãããå¿ã¥ãããªã fact4: ãããã®æ¹¯ã¶ãã¯åãŒã£ãããšããããšããªããªãã°ãã®ãã¶ã€ã³ã¯æ²³éã ãšããããšããªãããããããã¯ããã¥ãã fact5: ããããåãŒã£ããããšããããšãåã§ãªãããã®ã¯ããã°ããã®çãæ²³éã§ãã£ãŠåãŒã£ãããªããã®ããšããããšã¯äºå®ãšç°ãªã fact6: ããããã®çã¯æ²³éã ããããåãŒã£ãããšããããšããªãããšããããšã誀ããªãã°ãã®æ¹¯ã¶ãã¯æ²³éã fact7: ãããäœãã身延山ç
é¢ãéãŸãè¿ãããããããããªãããšããããšã¯æ£ãããšããããšã¯ãªããªãã°ããã身延山ç
é¢ãéãŸãè¿ããªã fact8: ãããããã®ãã¢ãã³å¹³ãªãã°ãããã身延山ç
é¢ãéãŸãè¿ãããããããããªãããšããããšãæãç«ããªã fact9: å
šãŠãå°æ°å³ãããšããããšã¯ãªã fact10: ãã®æ¹¯ã¶ãã¯ããã¥ãã fact11: ãããã®çãå°æ°å³ãããšããããšããªããããã¯å¿ã¥ãããªããªãã°ãã®æ¹¯ã¶ããåãŒã£ãããšããããšããªã fact12: ãããããã®ã身延山ç
é¢ãéãŸãè¿ããªããªãã°ããããäºçŠã ãšããããšããªãããšããããšã¯æãç«ã€ fact13: å¿ã¥ãããã®ã¯ããã¥ãã fact14: ãããããã®ãå°æ°å³ãããšããããšããªããªãã°ãããã¯äºçŠã§ãã£ãŠå¿ã¥ãããªããã®ããšããããšã¯æ¬åœã§ãªã | fact1: (x): {I}x fact2: {A}{a} -> ¬{B}{a} fact3: (x): ¬{F}x -> (¬{E}x & ¬{D}x) fact4: ¬{C}{a} -> (¬{B}{hb} & {A}{hb}) fact5: (x): {C}x -> ¬({B}{b} & ¬{C}{b}) fact6: ¬({B}{b} & ¬{C}{b}) -> {B}{a} fact7: (x): ¬({G}x & ¬{H}x) -> ¬{G}x fact8: (x): {I}x -> ¬({G}x & ¬{H}x) fact9: (x): ¬{E}x fact10: {A}{a} fact11: (¬{E}{b} & ¬{D}{b}) -> ¬{C}{a} fact12: (x): ¬{G}x -> ¬{F}x fact13: (x): {D}x -> {A}x fact14: (x): ¬{E}x -> ¬({F}x & ¬{D}x) | [
"fact2 & fact10 -> hypothesis;"
] | [
"fact2 & fact10 -> hypothesis;"
] | ãã®ãã¶ã€ã³ãæ²³éã§ãªã | ¬{B}{hb} | [
"fact17 -> int1: ãããã®çã¯èº«å»¶å±±ç
é¢ãéãŸãè¿ããªããªãã°ãããäºçŠã ãšããããšããªã; fact18 -> int2: ãããã®åœ«å¡ã¯ã¢ãã³å¹³ãªãã°ãããã¯èº«å»¶å±±ç
é¢ãéãŸãè¿ããããããããããããªãããšããããšãäºå®ãšç°ãªã; fact15 -> int3: ãã®åœ«å¡ãã¢ãã³å¹³ã ; int2 & int3 -> int4: ããã®åœ«å¡ã身延山ç
é¢ãéãŸãè¿ãããããããããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; fact21 -> int5: ããããã®åœ«å¡ã身延山ç
é¢ãéãŸãè¿ãããããããã¯ãããããããªãããšããããšã¯èª€ããªãã°ããã身延山ç
é¢ãéãŸãè¿ããšããããšããªã; int4 & int5 -> int6: ãã®åœ«å¡ã¯èº«å»¶å±±ç
é¢ãéãŸãè¿ããšããããšã¯ãªã; int6 -> int7: å
šãŠã®ãã®ã¯èº«å»¶å±±ç
é¢ãéãŸãè¿ããªã; int7 -> int8: ããã®çã¯èº«å»¶å±±ç
é¢ãéãŸãè¿ããšããããšã¯ãªãããšããããšãæ¬åœã ; int1 & int8 -> int9: ããã®çã¯äºçŠã ãšããããšã¯ãªãããšããããšãæãç«ã€; fact20 -> int10: ãããã®çã¯äºçŠã ãšããããšããªããªãã°ããã¯å°æ°å³ãããšããããšããªããã®ã§ãã£ãŠå¿ã¥ãããšããããšã¯ãªããã®; int9 & int10 -> int11: ãã®çãå°æ°å³ãããªããããã¯å¿ã¥ãããªã; int11 & fact16 -> int12: ãã®æ¹¯ã¶ãã¯åãŒã£ãããšããããšããªã; int12 & fact19 -> int13: ãã®ãã¶ã€ã³ã¯æ²³éã ãšããããšã¯ãªãããããããã¯ããã¥ãã; int13 -> hypothesis;"
] | 10 | 1 | 1 | 12 | 0 | 12 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: å
šãŠã®ãã®ã¯ã¢ãã³å¹³ã fact2: ãããã®æ¹¯ã¶ããããã¥ãããªãã°ãããæ²³éã§ãªã fact3: ããäœããäºçŠã ãšããããšã¯ãªããªãã°ãããå°æ°å³ãããšããããšã¯ãªããŠãããå¿ã¥ãããªã fact4: ãããã®æ¹¯ã¶ãã¯åãŒã£ãããšããããšããªããªãã°ãã®ãã¶ã€ã³ã¯æ²³éã ãšããããšããªãããããããã¯ããã¥ãã fact5: ããããåãŒã£ããããšããããšãåã§ãªãããã®ã¯ããã°ããã®çãæ²³éã§ãã£ãŠåãŒã£ãããªããã®ããšããããšã¯äºå®ãšç°ãªã fact6: ããããã®çã¯æ²³éã ããããåãŒã£ãããšããããšããªãããšããããšã誀ããªãã°ãã®æ¹¯ã¶ãã¯æ²³éã fact7: ãããäœãã身延山ç
é¢ãéãŸãè¿ãããããããããªãããšããããšã¯æ£ãããšããããšã¯ãªããªãã°ããã身延山ç
é¢ãéãŸãè¿ããªã fact8: ãããããã®ãã¢ãã³å¹³ãªãã°ãããã身延山ç
é¢ãéãŸãè¿ãããããããããªãããšããããšãæãç«ããªã fact9: å
šãŠãå°æ°å³ãããšããããšã¯ãªã fact10: ãã®æ¹¯ã¶ãã¯ããã¥ãã fact11: ãããã®çãå°æ°å³ãããšããããšããªããããã¯å¿ã¥ãããªããªãã°ãã®æ¹¯ã¶ããåãŒã£ãããšããããšããªã fact12: ãããããã®ã身延山ç
é¢ãéãŸãè¿ããªããªãã°ããããäºçŠã ãšããããšããªãããšããããšã¯æãç«ã€ fact13: å¿ã¥ãããã®ã¯ããã¥ãã fact14: ãããããã®ãå°æ°å³ãããšããããšããªããªãã°ãããã¯äºçŠã§ãã£ãŠå¿ã¥ãããªããã®ããšããããšã¯æ¬åœã§ãªã ; $hypothesis$ = ãã®æ¹¯ã¶ããæ²³éã ãšããããšã¯ãªã ; $proof$ = | fact2 & fact10 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {I}x fact2: {A}{a} -> ¬{B}{a} fact3: (x): ¬{F}x -> (¬{E}x & ¬{D}x) fact4: ¬{C}{a} -> (¬{B}{hb} & {A}{hb}) fact5: (x): {C}x -> ¬({B}{b} & ¬{C}{b}) fact6: ¬({B}{b} & ¬{C}{b}) -> {B}{a} fact7: (x): ¬({G}x & ¬{H}x) -> ¬{G}x fact8: (x): {I}x -> ¬({G}x & ¬{H}x) fact9: (x): ¬{E}x fact10: {A}{a} fact11: (¬{E}{b} & ¬{D}{b}) -> ¬{C}{a} fact12: (x): ¬{G}x -> ¬{F}x fact13: (x): {D}x -> {A}x fact14: (x): ¬{E}x -> ¬({F}x & ¬{D}x) ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact2 & fact10 -> hypothesis; __PROVED__ |
0.3 | äœååäºã«èœã¡åãããšããããã¯ããããšããããšãäž¡æ¹ã¯çãã | ({A} v {B}) | fact1: ããããšããããšã¯çºçãã | fact1: {B} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããããšããããšã¯çºçãã ; $hypothesis$ = äœååäºã«èœã¡åãããšããããã¯ããããšããããšãäž¡æ¹ã¯çãã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} ; $hypothesis$ = ({A} v {B}) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®çšå¿æ£ã¯æ°ŽãŒãããã | {A}{a} | fact1: ãã®çšå¿æ£ãæ°ŽãŒãããã fact2: æãããããªããã®ãäžæããŠå£²ãæãã | fact1: {A}{a} fact2: (x): ¬{F}x -> ({D}x & {E}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | ãã®çµ¹åžãæ°ŽãŒãããã | {A}{ch} | [
"fact3 -> int1: ãããã®ã¬ãŒã«ãã¬ã³ããæãããããªããªãã°ãããäžæããŠå£²ãæãã;"
] | 6 | 1 | 0 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®çšå¿æ£ãæ°ŽãŒãããã fact2: æãããããªããã®ãäžæããŠå£²ãæãã ; $hypothesis$ = ãã®çšå¿æ£ã¯æ°ŽãŒãããã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ¬{F}x -> ({D}x & {E}x) ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ãããããããã¶ãããšããããšããªããã®ã§ãã£ãŠéå°è·¯ã«å²ãããã®ããšããããšãæãç«ã€ããšããããšãåœãªãã°æ·æµªãªããã®ãããããšããããšã¯æ¬åœã | (Ex): ¬(¬{AA}x & {AB}x) -> {B}x | fact1: ãããã®æž
åã¯çªé²ãªãã°ããã¯ãããããªããŠç©ºå ã§ãªããšãããã®ããªã | fact1: ãããã®æž
åã¯çªé²ãªãã°ããã¯ãããããªããŠç©ºå ã§ãªããšãããã®ããªã | [] | [] | null | null | [] | null | 1 | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®æž
åã¯çªé²ãªãã°ããã¯ãããããªããŠç©ºå ã§ãªããšãããã®ããªã ; $hypothesis$ = ãããããããã¶ãããšããããšããªããã®ã§ãã£ãŠéå°è·¯ã«å²ãããã®ããšããããšãæãç«ã€ããšããããšãåœãªãã°æ·æµªãªããã®ãããããšããããšã¯æ¬åœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ãããã®æž
åã¯çªé²ãªãã°ããã¯ãããããªããŠç©ºå ã§ãªããšãããã®ããªã ; $hypothesis$ = (Ex): ¬(¬{AA}x & {AB}x) -> {B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŠãŠãããŠã ã¯æž
æ°Žçºäžç³ã«ãããããããšããããšã¯ãªããããã¯çé»ã | (¬{AA}{aa} & {AB}{aa}) | fact1: ãããæž
æ°Žçºäžç³ã«ããããããªãããããçé»ããšãããã®ããªã | fact1: (x): ¬(¬{AA}x & {AB}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããæž
æ°Žçºäžç³ã«ããããããªãããããçé»ããšãããã®ããªã ; $hypothesis$ = ãã®ãŠãŠãããŠã ã¯æž
æ°Žçºäžç³ã«ãããããããšããããšã¯ãªããããã¯çé»ã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{AA}x & {AB}x) ; $hypothesis$ = (¬{AA}{aa} & {AB}{aa}) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | æ³¢é¢ãçãã | {B} | fact1: ãããäž¹æžã«èããããããšã§ã¯ãªãæ³¢é¢ãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°äž¹æžã«èããããããšã¯çãã fact2: ãéèªç¥ã«æäžããããšãçããããšããããšãæ¬åœã fact3: æ³¢é¢ãçãããšããããšã¯ãã®ããããããšããããšãçºçãããšããããšã«èªçºããã fact4: ãããã®ããããããšããããšã¯çºçããªããªãã°ãäž¹æžã«èããããããšãçºçããªããæ³¢é¢ã¯èµ·ããããšããããšã¯èª€ãã fact5: ãã®ããããããšããããšãçãã | fact1: ¬(¬{AF} & {B}) -> {AF} fact2: {CT} fact3: {A} -> {B} fact4: ¬{A} -> ¬(¬{AF} & {B}) fact5: {A} | [
"fact3 & fact5 -> hypothesis;"
] | [
"fact3 & fact5 -> hypothesis;"
] | äž¹æžã«èããããããšã¯çºçãã | {AF} | [] | 7 | 1 | 1 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããäž¹æžã«èããããããšã§ã¯ãªãæ³¢é¢ãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°äž¹æžã«èããããããšã¯çãã fact2: ãéèªç¥ã«æäžããããšãçããããšããããšãæ¬åœã fact3: æ³¢é¢ãçãããšããããšã¯ãã®ããããããšããããšãçºçãããšããããšã«èªçºããã fact4: ãããã®ããããããšããããšã¯çºçããªããªãã°ãäž¹æžã«èããããããšãçºçããªããæ³¢é¢ã¯èµ·ããããšããããšã¯èª€ãã fact5: ãã®ããããããšããããšãçãã ; $hypothesis$ = æ³¢é¢ãçãã ; $proof$ = | fact3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AF} & {B}) -> {AF} fact2: {CT} fact3: {A} -> {B} fact4: ¬{A} -> ¬(¬{AF} & {B}) fact5: {A} ; $hypothesis$ = {B} ; $proof$ = | fact3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®åç€ãå°éçºã ãšããããšããªã | ¬{A}{a} | fact1: äœæ°ç¡ããã®ã¯ãã€ããŸãããšããããšã¯ãªããå°éçºã fact2: ãã®åç€ã急蟻æ±å±±ã§ãã£ãŠãããã ããã® fact3: ãã®åŸ¡å»ãå°éçºã fact4: ãã®åç€ã¯ãã€ããŸãã fact5: ãã®åç€ã¯æšªå²³ã«ãšããããã€ããŸãã fact6: ãããã®ã¿ã»ãéæ±ã§ãªããæ次éãèŠãªãããããã¯äž¡æ¹ãªãã°ãããåãå¹ã ãšããããšã¯ãªã fact7: ãã®åç€ã代ã
æšéããæããã河枡åºã«æãããã fact8: ãã®çŸç±çŽã¯å°éçºã fact9: ãã®åç€ã暪岳ã«ãšãããæ±èŠå±ã fact10: ãã®ç·è¡ããã€ããŸãã fact11: ãã®åç€ãæ°çºæ±ãã¯ã¡åããããããã·ãåã fact12: ãã®æžæ£ãå°éçºã ããããéé
ã«ã¿ãªããã fact13: ããäœãã¯äœæ°ç¡ãããããã¯æ次éãèŠããšããããšããªãããããã¯äž¡æ¹ãªãã°ããã¯äœæ°ç¡ã fact14: ããããã®æšªæ§ãã±ã³ã ããããèèã ãšããããšããªãããšããããšãåœãªãã°ãã®ã¿ã»ã¯æ次éãèŠãªã | fact1: (x): {C}x -> (¬{B}x & {A}x) fact2: ({CE}{a} & {IT}{a}) fact3: {A}{bt} fact4: {B}{a} fact5: ({N}{a} & {B}{a}) fact6: (¬{F}{b} v ¬{E}{b}) -> ¬{D}{b} fact7: ({JJ}{a} & {JB}{a}) fact8: {A}{cs} fact9: ({N}{a} & {IJ}{a}) fact10: {B}{bm} fact11: ({II}{a} & {JC}{a}) fact12: ({A}{hh} & {T}{hh}) fact13: (x): ({C}x v ¬{E}x) -> {C}x fact14: ¬({H}{c} & ¬{G}{c}) -> ¬{E}{b} | [] | [] | ãã®å¥èœãå°éçºã | {A}{gc} | [
"fact16 -> int1: ããããã®å¥èœãäœæ°ç¡ãããšããããšãæãç«ãŠã°ããã¯ãã€ããŸãããªããå°éçºã ; fact15 -> int2: ãããã®å¥èœãäœæ°ç¡ãããããã¯æ次éãèŠããšããããšã¯ãªãããããã¯äž¡æ¹ãªãã°ããããäœæ°ç¡ãããšããããšã¯çå®ã ;"
] | 5 | 1 | null | 14 | 0 | 14 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: äœæ°ç¡ããã®ã¯ãã€ããŸãããšããããšã¯ãªããå°éçºã fact2: ãã®åç€ã急蟻æ±å±±ã§ãã£ãŠãããã ããã® fact3: ãã®åŸ¡å»ãå°éçºã fact4: ãã®åç€ã¯ãã€ããŸãã fact5: ãã®åç€ã¯æšªå²³ã«ãšããããã€ããŸãã fact6: ãããã®ã¿ã»ãéæ±ã§ãªããæ次éãèŠãªãããããã¯äž¡æ¹ãªãã°ãããåãå¹ã ãšããããšã¯ãªã fact7: ãã®åç€ã代ã
æšéããæããã河枡åºã«æãããã fact8: ãã®çŸç±çŽã¯å°éçºã fact9: ãã®åç€ã暪岳ã«ãšãããæ±èŠå±ã fact10: ãã®ç·è¡ããã€ããŸãã fact11: ãã®åç€ãæ°çºæ±ãã¯ã¡åããããããã·ãåã fact12: ãã®æžæ£ãå°éçºã ããããéé
ã«ã¿ãªããã fact13: ããäœãã¯äœæ°ç¡ãããããã¯æ次éãèŠããšããããšããªãããããã¯äž¡æ¹ãªãã°ããã¯äœæ°ç¡ã fact14: ããããã®æšªæ§ãã±ã³ã ããããèèã ãšããããšããªãããšããããšãåœãªãã°ãã®ã¿ã»ã¯æ次éãèŠãªã ; $hypothesis$ = ãã®åç€ãå°éçºã ãšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {C}x -> (¬{B}x & {A}x) fact2: ({CE}{a} & {IT}{a}) fact3: {A}{bt} fact4: {B}{a} fact5: ({N}{a} & {B}{a}) fact6: (¬{F}{b} v ¬{E}{b}) -> ¬{D}{b} fact7: ({JJ}{a} & {JB}{a}) fact8: {A}{cs} fact9: ({N}{a} & {IJ}{a}) fact10: {B}{bm} fact11: ({II}{a} & {JC}{a}) fact12: ({A}{hh} & {T}{hh}) fact13: (x): ({C}x v ¬{E}x) -> {C}x fact14: ¬({H}{c} & ¬{G}{c}) -> ¬{E}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®æŽåãããããããšããããšã¯ãªãããšããããšã¯æãç«ã€ | ¬{B}{a} | fact1: ãã®ããªã³ã¿ãŒã¯å°ã«ã«ãªç³ã«çãã〠fact2: ãããã®æŽåãå°ã«ã«ãªç³ã«çãããŠã°ãããããããã fact3: ãããããã®ããªãŸããããšããããšã¯ãªããªãã°ããã®ã·ããã¬ãžã¹ã¿ãå¹³ãããããã¯çæœã«æ±ºã蟌ãŸãªãããšããããšã¯æãç«ããªã fact4: ãããããã®ã¯æ¹é¡ã§ãªããªãã°ãã®ãã³ãŒã³ã¯ããããããå°ã«ã«ãªç³ã«çãã〠fact5: ããããå¹³ãããŠçæœã«æ±ºã蟌ããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ã¯ããã°ãã®æ¹è§ãå¹³ãããªã fact6: ãããã®ããã»ããµã竹åç°ã«æ®ããšããããšã¯ãªãããããã¯çš²è·çºåã§ãªãããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ãšããããšã¯ãªãããšããããšã¯äºå®ã fact7: ããã®æŽåã¯å°ã«ã«ãªç³ã«çããã€ããšããããšãæ£ãã fact8: ãããããã®ãçš²è·çºåã§ãªããªãã°ããã¯ãªãŸããããšããããšã¯ãªã fact9: ããã®å°ã«ã«ãªç³ã¯æŽåã«çããã€ããšããããšãæ£ãã fact10: ãããéç«çºååžã屯ãšããããšããªããæŠæãªããã®ãããã°ãã®æŽåãæ¹é¡ã ãšããããšããªã fact11: ããããã®æ¹è§ã¯æŠæã§ãªããããããããå¹³ããããšããããšã誀ããªãã°ãããæŠæã fact12: ãã®æŽåã¯éåž°ã fact13: ãããã®ã¬ã¢ããŒããéç«çºååžã屯ãªãã°ãã®ã·ããã¬ãžã¹ã¿ã¯éç«çºååžã屯 fact14: ãããã®ã·ããã¬ãžã¹ã¿ã¯éç«çºååžã屯ãªãã°ããã®æ¹è§ãæŠæã ãšããããšã¯ãªããå¹³ããããšããããšãæãç«ããªã fact15: æŠæã¯æ¹é¡ã fact16: ãããã®æå人ã¯ãã·ã§ããªãã°ããã¯äºå®éã«çµ¶ãã fact17: å¹³ãããšããããšã¯ãªããã®ã¯éç«çºååžã屯ãšããããšã¯ãªãããããæŠæã fact18: ããããã®ããã»ããµã¯ç«¹åç°ã«æ®ããªãããããã¯ãããçš²è·çºåã§ãªãããšããããšã¯ééããªãã°ããã®ã¬ã¢ããŒããçš²è·çºåã ãšããããšã¯ãªãããšããããšã¯äºå®ã fact19: ãã®ã¬ã¢ããŒããéç«çºååžã屯ããããã¯ããã¯ãªãŸããã | fact1: {A}{gc} fact2: {A}{a} -> {B}{a} fact3: (x): ¬{G}x -> ¬({F}{c} & ¬{H}{c}) fact4: (x): ¬{C}x -> ({B}{jb} & {A}{jb}) fact5: (x): ¬({F}x & ¬{H}x) -> ¬{F}{b} fact6: ¬(¬{K}{e} v ¬{I}{e}) fact7: {A}{a} fact8: (x): ¬{I}x -> ¬{G}x fact9: {AA}{aa} fact10: (x): (¬{E}x & {D}x) -> ¬{C}{a} fact11: ¬(¬{D}{b} & {F}{b}) -> {D}{b} fact12: {BU}{a} fact13: {E}{d} -> {E}{c} fact14: {E}{c} -> ¬(¬{D}{b} & {F}{b}) fact15: (x): {D}x -> {C}x fact16: {HQ}{ea} -> {HK}{ea} fact17: (x): ¬{F}x -> (¬{E}x & {D}x) fact18: ¬(¬{K}{e} v ¬{I}{e}) -> ¬{I}{d} fact19: ({E}{d} v {G}{d}) | [
"fact2 & fact7 -> hypothesis;"
] | [
"fact2 & fact7 -> hypothesis;"
] | ãã®ãã³ãŒã³ãããããã | {B}{jb} | [
"fact24 -> int1: ãããã®æ¹è§ã¯å¹³ãããªããªãã°ããã¯éç«çºååžã屯ãšããããšã¯ãªããŠããã¯æŠæã ; fact22 -> int2: ãããã®ã¬ã¢ããŒãã¯çš²è·çºåã ãšããããšã¯ãªããªãã°ããããªãŸããããšããããšããªã; fact26 & fact20 -> int3: ãã®ã¬ã¢ããŒããçš²è·çºåã§ãªã; int2 & int3 -> int4: ãã®ã¬ã¢ããŒãã¯ãªãŸããããšããããšã¯ãªã; int4 -> int5: ããªãŸããããšããããšã¯ãªãããã®ããã; int5 & fact21 -> int6: ããã®ã·ããã¬ãžã¹ã¿ãå¹³ããããããçæœã«æ±ºã蟌ããšããããšããªãããšããããšã¯æãç«ããªã; int6 -> int7: ãããå¹³ãããŠçæœã«æ±ºã蟌ããšããããšã¯ãªãããšããããšãæ£ããããšããããšãåœãªããã®ããã; int7 & fact27 -> int8: ãã®æ¹è§ãå¹³ãããªã; int1 & int8 -> int9: ãã®æ¹è§ãéç«çºååžã屯ãªããæŠæã ; int9 -> int10: ãããã®ãéç«çºååžã屯ãšããããšã¯ãªããããã¯æŠæã ; int10 & fact23 -> int11: ãã®æŽåã¯æ¹é¡ã ãšããããšã¯ãªã; int11 -> int12: ãæ¹é¡ã ãšããããšã¯ãªãããã®ã¯ãã; int12 & fact25 -> int13: ãã®ãã³ãŒã³ã¯ããããããŠããã¯å°ã«ã«ãªç³ã«çããã€; int13 -> hypothesis;"
] | 12 | 1 | 1 | 17 | 0 | 17 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ãã®ããªã³ã¿ãŒã¯å°ã«ã«ãªç³ã«çãã〠fact2: ãããã®æŽåãå°ã«ã«ãªç³ã«çãããŠã°ãããããããã fact3: ãããããã®ããªãŸããããšããããšã¯ãªããªãã°ããã®ã·ããã¬ãžã¹ã¿ãå¹³ãããããã¯çæœã«æ±ºã蟌ãŸãªãããšããããšã¯æãç«ããªã fact4: ãããããã®ã¯æ¹é¡ã§ãªããªãã°ãã®ãã³ãŒã³ã¯ããããããå°ã«ã«ãªç³ã«çãã〠fact5: ããããå¹³ãããŠçæœã«æ±ºã蟌ããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ã¯ããã°ãã®æ¹è§ãå¹³ãããªã fact6: ãããã®ããã»ããµã竹åç°ã«æ®ããšããããšã¯ãªãããããã¯çš²è·çºåã§ãªãããããã¯äž¡æ¹ã ããšããããšãæãç«ã€ãšããããšã¯ãªãããšããããšã¯äºå®ã fact7: ããã®æŽåã¯å°ã«ã«ãªç³ã«çããã€ããšããããšãæ£ãã fact8: ãããããã®ãçš²è·çºåã§ãªããªãã°ããã¯ãªãŸããããšããããšã¯ãªã fact9: ããã®å°ã«ã«ãªç³ã¯æŽåã«çããã€ããšããããšãæ£ãã fact10: ãããéç«çºååžã屯ãšããããšããªããæŠæãªããã®ãããã°ãã®æŽåãæ¹é¡ã ãšããããšããªã fact11: ããããã®æ¹è§ã¯æŠæã§ãªããããããããå¹³ããããšããããšã誀ããªãã°ãããæŠæã fact12: ãã®æŽåã¯éåž°ã fact13: ãããã®ã¬ã¢ããŒããéç«çºååžã屯ãªãã°ãã®ã·ããã¬ãžã¹ã¿ã¯éç«çºååžã屯 fact14: ãããã®ã·ããã¬ãžã¹ã¿ã¯éç«çºååžã屯ãªãã°ããã®æ¹è§ãæŠæã ãšããããšã¯ãªããå¹³ããããšããããšãæãç«ããªã fact15: æŠæã¯æ¹é¡ã fact16: ãããã®æå人ã¯ãã·ã§ããªãã°ããã¯äºå®éã«çµ¶ãã fact17: å¹³ãããšããããšã¯ãªããã®ã¯éç«çºååžã屯ãšããããšã¯ãªãããããæŠæã fact18: ããããã®ããã»ããµã¯ç«¹åç°ã«æ®ããªãããããã¯ãããçš²è·çºåã§ãªãããšããããšã¯ééããªãã°ããã®ã¬ã¢ããŒããçš²è·çºåã ãšããããšã¯ãªãããšããããšã¯äºå®ã fact19: ãã®ã¬ã¢ããŒããéç«çºååžã屯ããããã¯ããã¯ãªãŸããã ; $hypothesis$ = ããã®æŽåãããããããšããããšã¯ãªãããšããããšã¯æãç«ã€ ; $proof$ = | fact2 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{gc} fact2: {A}{a} -> {B}{a} fact3: (x): ¬{G}x -> ¬({F}{c} & ¬{H}{c}) fact4: (x): ¬{C}x -> ({B}{jb} & {A}{jb}) fact5: (x): ¬({F}x & ¬{H}x) -> ¬{F}{b} fact6: ¬(¬{K}{e} v ¬{I}{e}) fact7: {A}{a} fact8: (x): ¬{I}x -> ¬{G}x fact9: {AA}{aa} fact10: (x): (¬{E}x & {D}x) -> ¬{C}{a} fact11: ¬(¬{D}{b} & {F}{b}) -> {D}{b} fact12: {BU}{a} fact13: {E}{d} -> {E}{c} fact14: {E}{c} -> ¬(¬{D}{b} & {F}{b}) fact15: (x): {D}x -> {C}x fact16: {HQ}{ea} -> {HK}{ea} fact17: (x): ¬{F}x -> (¬{E}x & {D}x) fact18: ¬(¬{K}{e} v ¬{I}{e}) -> ¬{I}{d} fact19: ({E}{d} v {G}{d}) ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact2 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®å°æ»ã¯è©³ãã | {A}{a} | fact1: ãã®å°æ»ã¯èå°Ÿã«åããŸãã fact2: ãã®ãŸãŒã³ã詳ãã fact3: ããã®å°æ»ãèºåŠã ããšããããšã¯æãç«ã€ fact4: ãã®åŒéã¯è©³ãã fact5: ãã®å°æ»ãäžžå±±åéã fact6: ãã®å°æ»ãçããã fact7: ãã®ç®è¬ã詳ãã fact8: ããã®èžåã詳ããããšããããšã¯çå®ã fact9: ãã®å°æ»ã詳ãã fact10: ãã®é®ã¯è©³ãã | fact1: {IT}{a} fact2: {A}{fb} fact3: {FN}{a} fact4: {A}{dk} fact5: {HN}{a} fact6: {GJ}{a} fact7: {A}{cs} fact8: {A}{hs} fact9: {A}{a} fact10: {A}{t} | [
"fact9 -> hypothesis;"
] | [
"fact9 -> hypothesis;"
] | null | null | [] | null | 1 | 0 | 9 | 0 | 9 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®å°æ»ã¯èå°Ÿã«åããŸãã fact2: ãã®ãŸãŒã³ã詳ãã fact3: ããã®å°æ»ãèºåŠã ããšããããšã¯æãç«ã€ fact4: ãã®åŒéã¯è©³ãã fact5: ãã®å°æ»ãäžžå±±åéã fact6: ãã®å°æ»ãçããã fact7: ãã®ç®è¬ã詳ãã fact8: ããã®èžåã詳ããããšããããšã¯çå®ã fact9: ãã®å°æ»ã詳ãã fact10: ãã®é®ã¯è©³ãã ; $hypothesis$ = ãã®å°æ»ã¯è©³ãã ; $proof$ = | fact9 -> hypothesis; __PROVED__ | $facts$ = fact1: {IT}{a} fact2: {A}{fb} fact3: {FN}{a} fact4: {A}{dk} fact5: {HN}{a} fact6: {GJ}{a} fact7: {A}{cs} fact8: {A}{hs} fact9: {A}{a} fact10: {A}{t} ; $hypothesis$ = {A}{a} ; $proof$ = | fact9 -> hypothesis; __PROVED__ |
0.3 | ãã®èãäž²ç°ã§ãã£ãŠåçŸåã«çãã®ã³ããšããããšããªããã® | ({AA}{a} & ¬{AB}{a}) | fact1: ãã®èãäž²ç°ã fact2: ãã®èãäž²ç°ã§ãã£ãŠåçŸåã«çãã®ã³ãªããã® | fact1: {AA}{a} fact2: ({AA}{a} & ¬{AB}{a}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 0 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®èãäž²ç°ã fact2: ãã®èãäž²ç°ã§ãã£ãŠåçŸåã«çãã®ã³ãªããã® ; $hypothesis$ = ãã®èãäž²ç°ã§ãã£ãŠåçŸåã«çãã®ã³ããšããããšããªããã® ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {AA}{a} fact2: ({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ({AA}{a} & ¬{AB}{a}) ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®çŸ
éç€ã¯æŠæ±ãæã朰ããåžè¢éã§ãªã | ({AA}{a} & ¬{AB}{a}) | fact1: ãã®èžç³ã¯æŠæ±ãæã朰ã fact2: ãããäœããçŠã
ãããããã¯æ£®åã«è¡ãè©°ããšããããšããªãããšããããšã¯æãç«ããªããªãã°ãããéè¡ã§ãªã fact3: ãããããã®ã¯å¯ãåãããšããããšããªããªãã°ããã¯æŠæ±ãæã朰ããããã¯åžè¢éã ãšããããšã¯ãªã fact4: ãããæã³ãããšããããšã¯ãªããè¡ã±å¹³ã«äº¡ãŒãããã®ãããã°ãã®äžåã¯äžè»¢ã ãšããããšããªã fact5: ããæ浊ã¯ã«ãã«ããããªãã°ãã®æ§äº€ã¯è£ããšããããšããªã fact6: ããã®çŸ
éç€ã¯æŠæ±ãæã朰ãããããåžè¢éã ããšããããšã¯åœã fact7: ãããã®çŸ
éç€ã¯äºæè¿ããªãã°ããããæŠæ±ãæã朰ããæ°ããããããšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact8: ããããã®çŸ
éç€ã¯éè¡ã ãšããããšããªãããšããããšãæãç«ãŠã°ãã®çŽå·»ã¯åžè¢éã§å¯ãåãã fact9: ããããããã®ãæ浊ã fact10: ãã®çŸ
éç€ãå¯ãåãã fact11: ãã®ã«ã«ã¡çŒãæŠæ±ãæã朰ã fact12: ãããã®ã€ã³ã·ã¥ãªã³ã森åã«è¡ãè©°ãããããéè¡ã ãšããããšã¯ãªããäž¡æ¹ãªãã°ããã®çŸ
éç€ãå¯ãåãããšããããšã¯ãªãããšããããšãæ£ãã fact13: äœããæã³ãããªããããã¯è¡ã±å¹³ã«äº¡ãŒã fact14: ãããã®çŸ
éç€ãå¯ãåããã°ããããæŠæ±ãæã朰ããåžè¢éã ãšããããšã¯ãªãããšããããšã¯æ£ãããšããããšããªã fact15: ãããã®äžåãäžè»¢ã ãšããããšã¯ãªããªãã°ãããããããã§ããããã fact16: ããããå£ããããåãããšããããšã¯æãç«ããªãããã®ã¯ããã°ãã®çŸ
éç€ã¯éæšã«ãã£ããªã fact17: ããã®çŽå·»ãåžè¢éã ã森åã«è¡ãè©°ããªãããšããããšã¯ééãã fact18: ãããã®æ§äº€ãè£ããªããªãã°ããã®ã€ã³ã·ã¥ãªã³ãå£ãããããããã¯åããäž¡æ¹ã ããšããããšã¯åã fact19: ãããã®çŸ
éç€ãå¯ãåããã°ãããã¯æŠæ±ãæã朰ããåžè¢éã ããšããããšã¯äºå®ãšç°ãªã fact20: ãã®äžåãã«ãã«ããã fact21: ãã®çŸ
éç€ãçããã fact22: ãããããã®ã¯éæšã«ãã£ãããšããããšããªããªãã°ãããã¯çŠã
ããã森åã«è¡ãè©°ããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªã | fact1: {AA}{gf} fact2: (x): ¬({D}x & ¬{C}x) -> ¬{B}x fact3: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact4: (x): (¬{N}x & {O}x) -> ¬{M}{d} fact5: (x): ({J}x & {I}x) -> ¬{H}{c} fact6: ¬({AA}{a} & {AB}{a}) fact7: {HI}{a} -> ¬({AA}{a} & ¬{EA}{a}) fact8: ¬{B}{a} -> ({AB}{j} & {A}{j}) fact9: (x): {K}x -> {J}x fact10: {A}{a} fact11: {AA}{ap} fact12: ({C}{b} v ¬{B}{b}) -> ¬{A}{a} fact13: (Ex): (¬{N}x & {O}x) fact14: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact15: ¬{M}{d} -> ({L}{d} & {K}{d}) fact16: (x): ¬({G}x v {F}x) -> ¬{E}{a} fact17: ¬({AB}{j} & ¬{C}{j}) fact18: ¬{H}{c} -> ¬({G}{b} v {F}{b}) fact19: {A}{a} -> ¬({AA}{a} & {AB}{a}) fact20: {I}{d} fact21: {JJ}{a} fact22: (x): ¬{E}x -> ¬({D}x & ¬{C}x) | [
"fact14 & fact10 -> hypothesis;"
] | [
"fact14 & fact10 -> hypothesis;"
] | ãã®çŽå·»ãåžè¢éã | {AB}{j} | [
"fact30 -> int1: ããããã®çŸ
éç€ãçŠã
ããã森åã«è¡ãè©°ããªãããšããããšã誀ããªãã°ãããã¯éè¡ã ãšããããšããªãããšããããšã¯ééãã ãšããããšããªã; fact24 -> int2: ãããã®çŸ
éç€ãéæšã«ãã£ããªããªãã°ãããã¯çŠã
ãããã®ã§ãã£ãŠæ£®åã«è¡ãè©°ããªããã®ããšããããšã¯èª€ãã ; fact26 -> int3: ãããã®äžåãããããããªãã°ããã¯æ浊ã ; fact29 & fact33 -> int4: ãã®äžåãäžè»¢ã§ãªã; fact27 & int4 -> int5: ãã®äžåã¯ããããã ãããã¯ããããã; int5 -> int6: ãã®äžåãããããã; int3 & int6 -> int7: ãã®äžåãæ浊ã ; int7 & fact32 -> int8: ãã®äžåãæ浊ã ããããã«ãã«ããã; int8 -> int9: ãæ浊ã ãã«ãã«ãããããã®ããã; int9 & fact28 -> int10: ãã®æ§äº€ã¯è£ããšããããšããªã; fact23 & int10 -> int11: ããã®ã€ã³ã·ã¥ãªã³ãå£ãããããããã¯åããäž¡æ¹ã ããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int11 -> int12: ããå£ãããããããã¯åããäž¡æ¹ã ããšããããšã¯æãç«ã€ãšããããšã¯ãªãããã®ããã; int12 & fact25 -> int13: ãã®çŸ
éç€ã¯éæšã«ãã£ãããšããããšããªã; int2 & int13 -> int14: ããã®çŸ
éç€ãçŠã
ãããããã森åã«è¡ãè©°ããšããããšã¯ãªãããšããããšã¯åœã ; int1 & int14 -> int15: ãã®çŸ
éç€ã¯éè¡ã ãšããããšã¯ãªã; fact31 & int15 -> int16: ãã®çŽå·»ã¯åžè¢éã ããããå¯ãåãã; int16 -> hypothesis;"
] | 14 | 1 | 1 | 20 | 0 | 20 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ãã®èžç³ã¯æŠæ±ãæã朰ã fact2: ãããäœããçŠã
ãããããã¯æ£®åã«è¡ãè©°ããšããããšããªãããšããããšã¯æãç«ããªããªãã°ãããéè¡ã§ãªã fact3: ãããããã®ã¯å¯ãåãããšããããšããªããªãã°ããã¯æŠæ±ãæã朰ããããã¯åžè¢éã ãšããããšã¯ãªã fact4: ãããæã³ãããšããããšã¯ãªããè¡ã±å¹³ã«äº¡ãŒãããã®ãããã°ãã®äžåã¯äžè»¢ã ãšããããšããªã fact5: ããæ浊ã¯ã«ãã«ããããªãã°ãã®æ§äº€ã¯è£ããšããããšããªã fact6: ããã®çŸ
éç€ã¯æŠæ±ãæã朰ãããããåžè¢éã ããšããããšã¯åœã fact7: ãããã®çŸ
éç€ã¯äºæè¿ããªãã°ããããæŠæ±ãæã朰ããæ°ããããããšããããšããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact8: ããããã®çŸ
éç€ã¯éè¡ã ãšããããšããªãããšããããšãæãç«ãŠã°ãã®çŽå·»ã¯åžè¢éã§å¯ãåãã fact9: ããããããã®ãæ浊ã fact10: ãã®çŸ
éç€ãå¯ãåãã fact11: ãã®ã«ã«ã¡çŒãæŠæ±ãæã朰ã fact12: ãããã®ã€ã³ã·ã¥ãªã³ã森åã«è¡ãè©°ãããããéè¡ã ãšããããšã¯ãªããäž¡æ¹ãªãã°ããã®çŸ
éç€ãå¯ãåãããšããããšã¯ãªãããšããããšãæ£ãã fact13: äœããæã³ãããªããããã¯è¡ã±å¹³ã«äº¡ãŒã fact14: ãããã®çŸ
éç€ãå¯ãåããã°ããããæŠæ±ãæã朰ããåžè¢éã ãšããããšã¯ãªãããšããããšã¯æ£ãããšããããšããªã fact15: ãããã®äžåãäžè»¢ã ãšããããšã¯ãªããªãã°ãããããããã§ããããã fact16: ããããå£ããããåãããšããããšã¯æãç«ããªãããã®ã¯ããã°ãã®çŸ
éç€ã¯éæšã«ãã£ããªã fact17: ããã®çŽå·»ãåžè¢éã ã森åã«è¡ãè©°ããªãããšããããšã¯ééãã fact18: ãããã®æ§äº€ãè£ããªããªãã°ããã®ã€ã³ã·ã¥ãªã³ãå£ãããããããã¯åããäž¡æ¹ã ããšããããšã¯åã fact19: ãããã®çŸ
éç€ãå¯ãåããã°ãããã¯æŠæ±ãæã朰ããåžè¢éã ããšããããšã¯äºå®ãšç°ãªã fact20: ãã®äžåãã«ãã«ããã fact21: ãã®çŸ
éç€ãçããã fact22: ãããããã®ã¯éæšã«ãã£ãããšããããšããªããªãã°ãããã¯çŠã
ããã森åã«è¡ãè©°ããšããããšã¯ãªãããšããããšãæãç«ã€ãšããããšããªã ; $hypothesis$ = ãã®çŸ
éç€ã¯æŠæ±ãæã朰ããåžè¢éã§ãªã ; $proof$ = | fact14 & fact10 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AA}{gf} fact2: (x): ¬({D}x & ¬{C}x) -> ¬{B}x fact3: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact4: (x): (¬{N}x & {O}x) -> ¬{M}{d} fact5: (x): ({J}x & {I}x) -> ¬{H}{c} fact6: ¬({AA}{a} & {AB}{a}) fact7: {HI}{a} -> ¬({AA}{a} & ¬{EA}{a}) fact8: ¬{B}{a} -> ({AB}{j} & {A}{j}) fact9: (x): {K}x -> {J}x fact10: {A}{a} fact11: {AA}{ap} fact12: ({C}{b} v ¬{B}{b}) -> ¬{A}{a} fact13: (Ex): (¬{N}x & {O}x) fact14: {A}{a} -> ¬({AA}{a} & ¬{AB}{a}) fact15: ¬{M}{d} -> ({L}{d} & {K}{d}) fact16: (x): ¬({G}x v {F}x) -> ¬{E}{a} fact17: ¬({AB}{j} & ¬{C}{j}) fact18: ¬{H}{c} -> ¬({G}{b} v {F}{b}) fact19: {A}{a} -> ¬({AA}{a} & {AB}{a}) fact20: {I}{d} fact21: {JJ}{a} fact22: (x): ¬{E}x -> ¬({D}x & ¬{C}x) ; $hypothesis$ = ({AA}{a} & ¬{AB}{a}) ; $proof$ = | fact14 & fact10 -> hypothesis; __DISPROVED__ |
0.3 | ãã®äºåŸå
åŒã¯ã»ã©é ããªããèå·ã«åŒ·ã°ã | (¬{AA}{b} & {AB}{b}) | fact1: ãããã®é ¬ã¯è²åãªãã°ãã®äºåŸå
åŒãã»ã©é ããšããããšããªãããããèå·ã«åŒ·ã°ã fact2: ããã®é ¬ãè²åã ããšããããšãäºå®ã fact3: ãããããã®ãè²åãªãã°ãããã¯ã»ã©é ããšããããšã¯ãªããèå·ã«åŒ·ã°ãããšããããšãçå®ã ãšããããšã¯ãªã fact4: ãã®ã«ã©ããã¯è²åã fact5: ãã®äºåŸå
åŒã¯èå·ã«åŒ·ã°ã fact6: ãã®äºåŸå
åŒã¯äœé«ã | fact1: {A}{a} -> (¬{AA}{b} & {AB}{b}) fact2: {A}{a} fact3: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact4: {A}{fq} fact5: {AB}{b} fact6: {FD}{b} | [
"fact1 & fact2 -> hypothesis;"
] | [
"fact1 & fact2 -> hypothesis;"
] | ããããã®äºåŸå
åŒã¯ã»ã©é ããšããããšã¯ãªããããã¯èå·ã«åŒ·ã°ãããšããããšãäºå®ã ããšããããšãæãç«ã€ãšããããšããªãããšããããšãæãç«ã€ | ¬(¬{AA}{b} & {AB}{b}) | [
"fact7 -> int1: ãããã®äºåŸå
åŒãè²åãªãã°ããããã¯ã»ã©é ããšããããšããªããŠãããèå·ã«åŒ·ã°ãããšããããšã¯æãç«ã€ããšããããšãæãç«ã€ãšããããšããªã;"
] | 5 | 1 | 1 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®é ¬ã¯è²åãªãã°ãã®äºåŸå
åŒãã»ã©é ããšããããšããªãããããèå·ã«åŒ·ã°ã fact2: ããã®é ¬ãè²åã ããšããããšãäºå®ã fact3: ãããããã®ãè²åãªãã°ãããã¯ã»ã©é ããšããããšã¯ãªããèå·ã«åŒ·ã°ãããšããããšãçå®ã ãšããããšã¯ãªã fact4: ãã®ã«ã©ããã¯è²åã fact5: ãã®äºåŸå
åŒã¯èå·ã«åŒ·ã°ã fact6: ãã®äºåŸå
åŒã¯äœé«ã ; $hypothesis$ = ãã®äºåŸå
åŒã¯ã»ã©é ããªããèå·ã«åŒ·ã°ã ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> (¬{AA}{b} & {AB}{b}) fact2: {A}{a} fact3: (x): {A}x -> ¬(¬{AA}x & {AB}x) fact4: {A}{fq} fact5: {AB}{b} fact6: {FD}{b} ; $hypothesis$ = (¬{AA}{b} & {AB}{b}) ; $proof$ = | fact1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ç©ºèã¯å°å£åŽã§ãªãããããããã¯é©éšå
µã | (¬{AA}{a} & {AB}{a}) | fact1: ãã®ç©ºèãé»è¡£ã fact2: ãã®ç©ºèãé©éšå
µã fact3: ãããã®èã¯æŽæš¹ãªãã°ããã¯é©éšå
µã ãšããããšã¯ãªããããã¯ãã¹ãŒã³ã«ããããã¥ãã fact4: ãããã®ç©ºèãé»è¡£ãªãã°ãããé©éšå
µã fact5: ãããã®ç©ºèã¯é»è¡£ãªãã°ãããå°å£åŽã ãšããããšã¯ãªããé©éšå
µã fact6: ãããã®éæ§ã¯åéä¿¡ã«ä»åãã°ãã®éå¡ã¯èœã¡åºŠã«ããããã fact7: ãæž
æµãªããã®ããã | fact1: {A}{a} fact2: {AB}{a} fact3: {ER}{cu} -> (¬{AB}{cu} & {CD}{cu}) fact4: {A}{a} -> {AB}{a} fact5: {A}{a} -> (¬{AA}{a} & {AB}{a}) fact6: {E}{c} -> {D}{b} fact7: (Ex): {C}x | [
"fact5 & fact1 -> hypothesis;"
] | [
"fact5 & fact1 -> hypothesis;"
] | ããã®ç©ºèãå°å£åŽã§ãªããããã¯é©éšå
µã ããšããããšã¯åã | ¬(¬{AA}{a} & {AB}{a}) | [] | 5 | 1 | 1 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ç©ºèãé»è¡£ã fact2: ãã®ç©ºèãé©éšå
µã fact3: ãããã®èã¯æŽæš¹ãªãã°ããã¯é©éšå
µã ãšããããšã¯ãªããããã¯ãã¹ãŒã³ã«ããããã¥ãã fact4: ãããã®ç©ºèãé»è¡£ãªãã°ãããé©éšå
µã fact5: ãããã®ç©ºèã¯é»è¡£ãªãã°ãããå°å£åŽã ãšããããšã¯ãªããé©éšå
µã fact6: ãããã®éæ§ã¯åéä¿¡ã«ä»åãã°ãã®éå¡ã¯èœã¡åºŠã«ããããã fact7: ãæž
æµãªããã®ããã ; $hypothesis$ = ãã®ç©ºèã¯å°å£åŽã§ãªãããããããã¯é©éšå
µã ; $proof$ = | fact5 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {AB}{a} fact3: {ER}{cu} -> (¬{AB}{cu} & {CD}{cu}) fact4: {A}{a} -> {AB}{a} fact5: {A}{a} -> (¬{AA}{a} & {AB}{a}) fact6: {E}{c} -> {D}{b} fact7: (Ex): {C}x ; $hypothesis$ = (¬{AA}{a} & {AB}{a}) ; $proof$ = | fact5 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®æ¯äžãå€è¶ã«ä¹Ÿãããããããã | ({A}{a} & {B}{a}) | fact1: ãããã®é¬¢ã¯æµ·èå±±ã§ãªãããããéç䟡ã ãšããããšããªããªãã°ãã®æœæ°ŽèŠãéç䟡ã§ãªã fact2: ãã®æ¯äžã¯å€è¶ã«ä¹Ÿãã fact3: ãããããã®ãæ¬åæ°ãé§èŸŒãŸãªãããããããã䌎èµå±±ãªãã°ããã¯åïŒç·ã§ãªã fact4: ãããã®æ¯äžãå€è¶ã«ä¹ŸãããšããããšããªããåïŒç·ãªãã°ãã®æãŠãããããã fact5: ãã®å€è¶ã¯æ¯äžã也ãã fact6: ãããã®å€§äŸã¯ç©ºèŒžã§ãªããªãã°ãã®é¬¢ãæµ·èå±±ã ãšããããšããªããéç䟡ã§ãªã fact7: ããããã®æœæ°ŽèŠã¯éç䟡ã ãšããããšããªãããšããããšã誀ãã ãšããããšã¯ãªããªãã°ãã®æ¯äžã¯æ¬åæ°ãé§èŸŒããšããããšã¯ãªãã䌎èµå±±ã fact8: ããã®æ¯äžããããããããšããããšãæãç«ã€ fact9: ãããããã®ã¯åïŒç·ã§ãªããªãã°ãããã¯å€è¶ã«ä¹Ÿãããããã¯ãããããããšããããšã¯æãç«ããªã fact10: ãã®äœçšãããããã fact11: ãã®æ¯äžã¯ã²ãšçŸãçžãã | fact1: (¬{G}{c} & ¬{F}{c}) -> ¬{F}{b} fact2: {A}{a} fact3: (x): (¬{E}x & {D}x) -> ¬{C}x fact4: (¬{A}{a} & {C}{a}) -> {B}{fl} fact5: {AA}{aa} fact6: ¬{H}{d} -> (¬{G}{c} & ¬{F}{c}) fact7: ¬{F}{b} -> (¬{E}{a} & {D}{a}) fact8: {B}{a} fact9: (x): ¬{C}x -> ¬({A}x & {B}x) fact10: {B}{hm} fact11: {DL}{a} | [
"fact2 & fact8 -> hypothesis;"
] | [
"fact2 & fact8 -> hypothesis;"
] | ããã®æ¯äžãå€è¶ã«ä¹Ÿãããããããããããããšããããšã¯åã | ¬({A}{a} & {B}{a}) | [
"fact12 -> int1: ãããã®æ¯äžã¯åïŒç·ã§ãªããªãã°ããããå€è¶ã«ä¹Ÿããããããããããšããããšãæãç«ã€ãšããããšã¯ãªã; fact15 -> int2: ãããã®æ¯äžãæ¬åæ°ãé§èŸŒãŸãªããŠäŒŽèµå±±ãªãã°ãããåïŒç·ã ãšããããšããªã;"
] | 7 | 1 | 1 | 9 | 0 | 9 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®é¬¢ã¯æµ·èå±±ã§ãªãããããéç䟡ã ãšããããšããªããªãã°ãã®æœæ°ŽèŠãéç䟡ã§ãªã fact2: ãã®æ¯äžã¯å€è¶ã«ä¹Ÿãã fact3: ãããããã®ãæ¬åæ°ãé§èŸŒãŸãªãããããããã䌎èµå±±ãªãã°ããã¯åïŒç·ã§ãªã fact4: ãããã®æ¯äžãå€è¶ã«ä¹ŸãããšããããšããªããåïŒç·ãªãã°ãã®æãŠãããããã fact5: ãã®å€è¶ã¯æ¯äžã也ãã fact6: ãããã®å€§äŸã¯ç©ºèŒžã§ãªããªãã°ãã®é¬¢ãæµ·èå±±ã ãšããããšããªããéç䟡ã§ãªã fact7: ããããã®æœæ°ŽèŠã¯éç䟡ã ãšããããšããªãããšããããšã誀ãã ãšããããšã¯ãªããªãã°ãã®æ¯äžã¯æ¬åæ°ãé§èŸŒããšããããšã¯ãªãã䌎èµå±±ã fact8: ããã®æ¯äžããããããããšããããšãæãç«ã€ fact9: ãããããã®ã¯åïŒç·ã§ãªããªãã°ãããã¯å€è¶ã«ä¹Ÿãããããã¯ãããããããšããããšã¯æãç«ããªã fact10: ãã®äœçšãããããã fact11: ãã®æ¯äžã¯ã²ãšçŸãçžãã ; $hypothesis$ = ãã®æ¯äžãå€è¶ã«ä¹Ÿãããããããã ; $proof$ = | fact2 & fact8 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{G}{c} & ¬{F}{c}) -> ¬{F}{b} fact2: {A}{a} fact3: (x): (¬{E}x & {D}x) -> ¬{C}x fact4: (¬{A}{a} & {C}{a}) -> {B}{fl} fact5: {AA}{aa} fact6: ¬{H}{d} -> (¬{G}{c} & ¬{F}{c}) fact7: ¬{F}{b} -> (¬{E}{a} & {D}{a}) fact8: {B}{a} fact9: (x): ¬{C}x -> ¬({A}x & {B}x) fact10: {B}{hm} fact11: {DL}{a} ; $hypothesis$ = ({A}{a} & {B}{a}) ; $proof$ = | fact2 & fact8 -> hypothesis; __PROVED__ |
0.3 | è¡é²ãèµ·ãããç«çœãçºçããªã | ({AA} & ¬{AB}) | fact1: ãããæ¥è²éããŸãªã³ãšãããšãšè¡ããšããããšãèµ·ããããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°åµæ¡ã¯èµ·ãããªã fact2: æ±äºåæã«ããããããšãèµ·ããªããšããããšã¯ãéããããšãšäžãå¡æ°ã«çä»ãããšäž¡æ¹ã¯èµ·ããããšããããšãçºçããã fact3: ããå±±å£æ°ç°ã«æ±ããããšãèµ·ããã°ãè¡é²ãšç«çœã¯èµ·ããããšããããšãåã fact4: ããè¡é²ã¯çãããå»åž«ã«ãšãããããšã¯èµ·ããããšããããšã¯ãéžå¥ã¯èµ·ãããªãããšããããšãå¥æ©ã ããšããããšã¯æãç«ã€ fact5: ãå»åž«ã«ãšãããããšã¯çºçããªãããšããããšã¯ãå£ãããŸãããšããããšãšå±±å£æ°ç°ã«æ±ããããšäž¡æ¹ã¯èµ·ããããšããããšãæã fact6: ãããããæããšããããšãèµ·ãããªããªãã°å»åž«ã«ãšãããããšãèµ·ããªããŠéžå¥ã¯èµ·ãããªã fact7: ãããŠã³ããŒãã«ããããããšã¯èµ·ãããæè¬ã¯çºçããªãããšããããšã¯åœã fact8: ããå
¥ãéãããšã¯çããã°ããžãããšã¯èµ·ãããæåãèµ·ããªãããšããããšãæãç«ããªã fact9: ããããããæããšããããšãèµ·ãããåãç· ãŸããèµ·ããªãããšããããšã¯ééããªãã°éžå¥ã¯çããªã fact10: ãéšããããšããããšã¯çºçããããšããããšã¯äžãå¡æ°ã«çä»ãããšãèµ·ãããšããããšã«èªçºããã fact11: ãè¡é²ãšç«çœäž¡æ¹ã¯èµ·ããããšããããšãåã fact12: ããå±±å£æ°ç°ã«æ±ããããšã¯çããã°ãè¡é²ã¯èµ·ãããç«çœã¯èµ·ãããªãããšããããšãæãç«ããªã fact13: ãç«çœã§ã¯ãªãå±±å£æ°ç°ã«æ±ããããšãèµ·ããããšããããšã¯ãå±
ãå ªããªããšããããšãèµ·ããããšããããšããã£ããã fact14: å±
ãå ªããªããšããããšã¯èµ·ããªããšããããšã¯ãããç©ã«æãé£ã°ãããšãèµ·ããªããå£ãããŸãããšããããšã¯èµ·ããããšããããšã«é²ããã fact15: ããå±
ãå ªããªããšããããšã¯èµ·ããªããªãã°ãåãç· ãŸããçããããããæããšããããšã¯èµ·ããããšããããšã¯æãç«ããªã fact16: ãã西接ãå¬ãããšãçããã°ããããæããšããããšã¯çããããããåãç· ãŸããèµ·ãããªãããšããããšãäºå®ãšç°ãªã fact17: ãããéšããããšããããšã¯çºçããããšããããšã¯äºå®ãªãã°ããç©ã«æãé£ã°ãããšã§ã¯ãªãå£ãããŸãããšããããšã¯èµ·ãã fact18: ã西接ãå¬ãããšãšæ°æ¥ãããšããããšã¯èµ·ããããšããããšã¯åµæ¡ã¯èµ·ããªããšããããšã«èªçºããã fact19: ãã飯綱ãæ°è² ãç«ã€ããšã¯èµ·ããã°ãæ±äºåæã«ããããããšãèµ·ãããããããããããšããããšãèµ·ããªãããšããããšãæãç«ã€ãšããããšããªã fact20: ãè¿œãè¿ããããšãèµ·ããããããããŒããããšããããšãèµ·ãããªãããšããããšã¯æãç«ã€ãšããããšããªã | fact1: ¬({Q} & {P}) -> ¬{M} fact2: ¬{O} -> ({N} & {K}) fact3: {A} -> ¬({AA} & {AB}) fact4: ¬{C} -> ({AA} & {B}) fact5: ¬{B} -> ({G} & {A}) fact6: ¬{D} -> (¬{B} & ¬{C}) fact7: ¬({GH} & ¬{IS}) fact8: {EQ} -> ¬({DA} & ¬{BG}) fact9: ¬({D} & ¬{E}) -> ¬{C} fact10: {K} -> {J} fact11: ¬({AA} & {AB}) fact12: {A} -> ¬({AA} & ¬{AB}) fact13: {F} -> (¬{AB} & {A}) fact14: (¬{H} & {G}) -> {F} fact15: ¬{F} -> ¬({E} & {D}) fact16: {I} -> ¬({D} & ¬{E}) fact17: {J} -> (¬{H} & {G}) fact18: ¬{M} -> ({I} & {L}) fact19: {FR} -> ¬({O} & ¬{HT}) fact20: ¬({AL} & ¬{DT}) | [] | [] | å£ãããŸãããšããããšã¯çºçãã | {G} | [] | 8 | 1 | null | 19 | 0 | 19 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããæ¥è²éããŸãªã³ãšãããšãšè¡ããšããããšãèµ·ããããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°åµæ¡ã¯èµ·ãããªã fact2: æ±äºåæã«ããããããšãèµ·ããªããšããããšã¯ãéããããšãšäžãå¡æ°ã«çä»ãããšäž¡æ¹ã¯èµ·ããããšããããšãçºçããã fact3: ããå±±å£æ°ç°ã«æ±ããããšãèµ·ããã°ãè¡é²ãšç«çœã¯èµ·ããããšããããšãåã fact4: ããè¡é²ã¯çãããå»åž«ã«ãšãããããšã¯èµ·ããããšããããšã¯ãéžå¥ã¯èµ·ãããªãããšããããšãå¥æ©ã ããšããããšã¯æãç«ã€ fact5: ãå»åž«ã«ãšãããããšã¯çºçããªãããšããããšã¯ãå£ãããŸãããšããããšãšå±±å£æ°ç°ã«æ±ããããšäž¡æ¹ã¯èµ·ããããšããããšãæã fact6: ãããããæããšããããšãèµ·ãããªããªãã°å»åž«ã«ãšãããããšãèµ·ããªããŠéžå¥ã¯èµ·ãããªã fact7: ãããŠã³ããŒãã«ããããããšã¯èµ·ãããæè¬ã¯çºçããªãããšããããšã¯åœã fact8: ããå
¥ãéãããšã¯çããã°ããžãããšã¯èµ·ãããæåãèµ·ããªãããšããããšãæãç«ããªã fact9: ããããããæããšããããšãèµ·ãããåãç· ãŸããèµ·ããªãããšããããšã¯ééããªãã°éžå¥ã¯çããªã fact10: ãéšããããšããããšã¯çºçããããšããããšã¯äžãå¡æ°ã«çä»ãããšãèµ·ãããšããããšã«èªçºããã fact11: ãè¡é²ãšç«çœäž¡æ¹ã¯èµ·ããããšããããšãåã fact12: ããå±±å£æ°ç°ã«æ±ããããšã¯çããã°ãè¡é²ã¯èµ·ãããç«çœã¯èµ·ãããªãããšããããšãæãç«ããªã fact13: ãç«çœã§ã¯ãªãå±±å£æ°ç°ã«æ±ããããšãèµ·ããããšããããšã¯ãå±
ãå ªããªããšããããšãèµ·ããããšããããšããã£ããã fact14: å±
ãå ªããªããšããããšã¯èµ·ããªããšããããšã¯ãããç©ã«æãé£ã°ãããšãèµ·ããªããå£ãããŸãããšããããšã¯èµ·ããããšããããšã«é²ããã fact15: ããå±
ãå ªããªããšããããšã¯èµ·ããªããªãã°ãåãç· ãŸããçããããããæããšããããšã¯èµ·ããããšããããšã¯æãç«ããªã fact16: ãã西接ãå¬ãããšãçããã°ããããæããšããããšã¯çããããããåãç· ãŸããèµ·ãããªãããšããããšãäºå®ãšç°ãªã fact17: ãããéšããããšããããšã¯çºçããããšããããšã¯äºå®ãªãã°ããç©ã«æãé£ã°ãããšã§ã¯ãªãå£ãããŸãããšããããšã¯èµ·ãã fact18: ã西接ãå¬ãããšãšæ°æ¥ãããšããããšã¯èµ·ããããšããããšã¯åµæ¡ã¯èµ·ããªããšããããšã«èªçºããã fact19: ãã飯綱ãæ°è² ãç«ã€ããšã¯èµ·ããã°ãæ±äºåæã«ããããããšãèµ·ãããããããããããšããããšãèµ·ããªãããšããããšãæãç«ã€ãšããããšããªã fact20: ãè¿œãè¿ããããšãèµ·ããããããããŒããããšããããšãèµ·ãããªãããšããããšã¯æãç«ã€ãšããããšããªã ; $hypothesis$ = è¡é²ãèµ·ãããç«çœãçºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({Q} & {P}) -> ¬{M} fact2: ¬{O} -> ({N} & {K}) fact3: {A} -> ¬({AA} & {AB}) fact4: ¬{C} -> ({AA} & {B}) fact5: ¬{B} -> ({G} & {A}) fact6: ¬{D} -> (¬{B} & ¬{C}) fact7: ¬({GH} & ¬{IS}) fact8: {EQ} -> ¬({DA} & ¬{BG}) fact9: ¬({D} & ¬{E}) -> ¬{C} fact10: {K} -> {J} fact11: ¬({AA} & {AB}) fact12: {A} -> ¬({AA} & ¬{AB}) fact13: {F} -> (¬{AB} & {A}) fact14: (¬{H} & {G}) -> {F} fact15: ¬{F} -> ¬({E} & {D}) fact16: {I} -> ¬({D} & ¬{E}) fact17: {J} -> (¬{H} & {G}) fact18: ¬{M} -> ({I} & {L}) fact19: {FR} -> ¬({O} & ¬{HT}) fact20: ¬({AL} & ¬{DT}) ; $hypothesis$ = ({AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããååå±±ã«ããè¿ããªãããããšããªãã°ãããããšããããšããªãããã®ã¯ããããšããããšã誀ãã | ¬((Ex): (¬{AA}x & {AB}x) -> ¬{B}x) | fact1: ãããå·ã®é·ã ãšããããšããªããŠæéå·¥ãªãã°è¶
å
寺ãªããã®ã¯ãã fact2: ãããã®ãããŒãã¯å€§å®®æ±ç·éå£ã«äœ¿ãæãããšããããšããªãããããããã¯ç¯ ãäºå²¡ç°ãªãã°ããã¯ååå±±ã«ããè¿ã fact3: ãããã®ãããŒããååå±±ã«ããè¿ããšããããšããªãããããšããªãã°ããã¯ãããã fact4: ãããã®ç³è¹ããããããããã¯äžææ©ã«ãã¡ãŸããã°ããã¯äž¡ç¥ã§ãªã fact5: ããäœãã¯æ°Žæ¶å³°ã§ãªããããã¯æºé¢å³ ãããããã°ãããããããã§ãªã fact6: ãããã®ãããŒãã¯çžå®¹ããªããã®ã§ãã£ãŠå€çŸæãªãã®ãªãã°ãããååå±±ã«ããè¿ããšããããšã¯ãªã fact7: ããããã£ããã察島ãªãã°çšé ããªãããã®ããã fact8: ãããã®ãããŒããæãããšããããšããªããæããã°ããã¯ãããšããšããããšããªã fact9: ãããã®ãããŒãã¯ååå±±ã«ããè¿ãããããšããªãã°ããããããããšããããšã¯ãªã fact10: ãããã®éæºãæŽããŸãããšããããšããªããäžäºä¿£ã«ãããåãã°ããã¯ããã£ããããªã fact11: ãããã®ãããŒãã¯ãããšããŠæºé¢å³ ãããããã°ããã¯ãããšããããšããªã fact12: ãããååå±±ã«ããè¿ãããããšããªãã°ãããããªãããã®ããã fact13: ãããããã®ãåæ²¢ã話ãåããªãã鳎ãã°ãããæãããªã fact14: ããã矜éç
é¢ã«ãããããäžãéã«äœãŸãã°ãç©èŠé«ããªãããšããããšã¯çå®ãªããã®ã¯ãã fact15: ãããååå±±ã«ããè¿ããªãããããšããªãã°ããããããã®ã¯ãã fact16: ãããã®ãããŒãã埮ããã§ãªãããããšããªãã°ããã¯èãã¥ãã | fact1: (Ex): (¬{IK}x & {CI}x) -> {HK}x fact2: (¬{CU}{aa} & {FU}{aa}) -> {AA}{aa} fact3: (¬{AA}{aa} & {AB}{aa}) -> {B}{aa} fact4: ({B}{hg} & {S}{hg}) -> ¬{HC}{hg} fact5: (x): (¬{EK}x & {IG}x) -> ¬{HA}x fact6: ({CC}{aa} & {CR}{aa}) -> ¬{AA}{aa} fact7: (Ex): ({CB}x & {CN}x) -> ¬{EA}x fact8: (¬{GM}{aa} & {HM}{aa}) -> ¬{AB}{aa} fact9: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact10: (¬{EB}{in} & {AH}{in}) -> ¬{EG}{in} fact11: ({AB}{aa} & {IG}{aa}) -> ¬{EJ}{aa} fact12: (Ex): ({AA}x & {AB}x) -> ¬{B}x fact13: (x): (¬{DC}x & {AQ}x) -> ¬{HN}x fact14: (Ex): ({GA}x & {GT}x) -> ¬{IC}x fact15: (Ex): (¬{AA}x & {AB}x) -> {B}x fact16: (¬{CD}{aa} & {AB}{aa}) -> {HS}{aa} | [] | [] | ãããæ°Žæ¶å³°ã ãšããããšããªããæºé¢å³ ãããããã°ããããã ãšããããšããªãããã®ããã | (Ex): (¬{EK}x & {IG}x) -> ¬{HA}x | [
"fact17 -> int1: ãããã®ååã¯æ°Žæ¶å³°ã§ãªããæºé¢å³ ãããããã°ããã¯ããããã ãšããããšã¯ãªã; int1 -> hypothesis;"
] | 2 | 1 | null | 16 | 0 | 16 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããå·ã®é·ã ãšããããšããªããŠæéå·¥ãªãã°è¶
å
寺ãªããã®ã¯ãã fact2: ãããã®ãããŒãã¯å€§å®®æ±ç·éå£ã«äœ¿ãæãããšããããšããªãããããããã¯ç¯ ãäºå²¡ç°ãªãã°ããã¯ååå±±ã«ããè¿ã fact3: ãããã®ãããŒããååå±±ã«ããè¿ããšããããšããªãããããšããªãã°ããã¯ãããã fact4: ãããã®ç³è¹ããããããããã¯äžææ©ã«ãã¡ãŸããã°ããã¯äž¡ç¥ã§ãªã fact5: ããäœãã¯æ°Žæ¶å³°ã§ãªããããã¯æºé¢å³ ãããããã°ãããããããã§ãªã fact6: ãããã®ãããŒãã¯çžå®¹ããªããã®ã§ãã£ãŠå€çŸæãªãã®ãªãã°ãããååå±±ã«ããè¿ããšããããšã¯ãªã fact7: ããããã£ããã察島ãªãã°çšé ããªãããã®ããã fact8: ãããã®ãããŒããæãããšããããšããªããæããã°ããã¯ãããšããšããããšããªã fact9: ãããã®ãããŒãã¯ååå±±ã«ããè¿ãããããšããªãã°ããããããããšããããšã¯ãªã fact10: ãããã®éæºãæŽããŸãããšããããšããªããäžäºä¿£ã«ãããåãã°ããã¯ããã£ããããªã fact11: ãããã®ãããŒãã¯ãããšããŠæºé¢å³ ãããããã°ããã¯ãããšããããšããªã fact12: ãããååå±±ã«ããè¿ãããããšããªãã°ãããããªãããã®ããã fact13: ãããããã®ãåæ²¢ã話ãåããªãã鳎ãã°ãããæãããªã fact14: ããã矜éç
é¢ã«ãããããäžãéã«äœãŸãã°ãç©èŠé«ããªãããšããããšã¯çå®ãªããã®ã¯ãã fact15: ãããååå±±ã«ããè¿ããªãããããšããªãã°ããããããã®ã¯ãã fact16: ãããã®ãããŒãã埮ããã§ãªãããããšããªãã°ããã¯èãã¥ãã ; $hypothesis$ = ããããååå±±ã«ããè¿ããªãããããšããªãã°ãããããšããããšããªãããã®ã¯ããããšããããšã誀ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): (¬{IK}x & {CI}x) -> {HK}x fact2: (¬{CU}{aa} & {FU}{aa}) -> {AA}{aa} fact3: (¬{AA}{aa} & {AB}{aa}) -> {B}{aa} fact4: ({B}{hg} & {S}{hg}) -> ¬{HC}{hg} fact5: (x): (¬{EK}x & {IG}x) -> ¬{HA}x fact6: ({CC}{aa} & {CR}{aa}) -> ¬{AA}{aa} fact7: (Ex): ({CB}x & {CN}x) -> ¬{EA}x fact8: (¬{GM}{aa} & {HM}{aa}) -> ¬{AB}{aa} fact9: ({AA}{aa} & {AB}{aa}) -> ¬{B}{aa} fact10: (¬{EB}{in} & {AH}{in}) -> ¬{EG}{in} fact11: ({AB}{aa} & {IG}{aa}) -> ¬{EJ}{aa} fact12: (Ex): ({AA}x & {AB}x) -> ¬{B}x fact13: (x): (¬{DC}x & {AQ}x) -> ¬{HN}x fact14: (Ex): ({GA}x & {GT}x) -> ¬{IC}x fact15: (Ex): (¬{AA}x & {AB}x) -> {B}x fact16: (¬{CD}{aa} & {AB}{aa}) -> {HS}{aa} ; $hypothesis$ = ¬((Ex): (¬{AA}x & {AB}x) -> ¬{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããæã
ãããšããããšããªãããšããããšãæãç«ãŠã°ãã ãããªãããã®ããã | (Ex): ¬{B}x -> ¬{C}x | fact1: ãããæã
ãããšããããšã¯ãªããªãã°ããã ããããšããããšã¯æãç«ã€ããã®ã¯ãã fact2: ãããã®æš«ã¯ãã ãããšããããšããªããªãã°ãããä¿ãããã³ã§ãªã fact3: ãããæã
ãããªãã°ããã ãããšããããšããªãããšããããšã¯æ¬åœãªããã®ããã fact4: ãããåçãèãæããšããããšããªããªãã°å®èŒã ãšããããšããªãããã®ã¯ãã fact5: ãããã®ç¶æ
ããããããšããããšããªããªãã°ãããæã
ãããšããããšã¯ãªã fact6: ããããã®æš«ããããããããšããããšããªãããšããããšã¯äºå®ãªãã°ãããé¡ããšããããšããªã fact7: ããããã©ããªããªãã°å
èŠãããªãããã®ããã fact8: ãããã®æš«ã¯æã
ãããšããããšã¯ãªããªãã°ããã¯ãã ãã fact9: ãããã®æš«ã¯æ¥ãããšããããšããªããªãã°ãããåéå±±é«å¡ã§ãªã fact10: ããããã®æš«ãæã
ãããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ããã¯ãã¿ãã ããªã fact11: ãããã®æš«ã¯æã
ãããšããããšã¯ãªããªãã°ãããã¯ãã ãããªãããšããããšãçå®ã fact12: ãããæžéã ãšããããšããªããªãã°ããµã«ãã«ãããã ããšããããšããªãããšããããšã¯æãç«ã€ããã®ããã fact13: ãããå¢æ£®ã§ãªããªãã°æ·±è±ã ãšããããšããªãããã®ã¯ãã fact14: ãããã®æš«ã¯æã
ãããªãã°ããããã ãããšããããšããªã fact15: ãããäžé·äºã«èžã¿ç· ãããšããããšããªããªãã°å次éããããšããªããšããããšã¯ãªãããã®ã¯ãã fact16: ããããããã®ãæ°Žææ¥ã ãšããããšããªãããšããããšã¯æãç«ãŠã°ãããã«ãã«çè¿ããšããããšã¯ãªã | fact1: (Ex): ¬{B}x -> {C}x fact2: ¬{C}{aa} -> ¬{AI}{aa} fact3: (Ex): {B}x -> ¬{C}x fact4: (Ex): ¬{HL}x -> ¬{CR}x fact5: ¬{EC}{fn} -> ¬{B}{fn} fact6: ¬{FS}{aa} -> ¬{GQ}{aa} fact7: (Ex): ¬{HB}x -> ¬{EJ}x fact8: ¬{B}{aa} -> {C}{aa} fact9: ¬{ER}{aa} -> ¬{DU}{aa} fact10: ¬{B}{aa} -> ¬{DK}{aa} fact11: ¬{B}{aa} -> ¬{C}{aa} fact12: (Ex): ¬{CO}x -> ¬{FN}x fact13: (Ex): ¬{AK}x -> ¬{JJ}x fact14: {B}{aa} -> ¬{C}{aa} fact15: (Ex): ¬{T}x -> ¬{EE}x fact16: (x): ¬{HD}x -> ¬{CN}x | [
"fact11 -> hypothesis;"
] | [
"fact11 -> hypothesis;"
] | ãããæ°Žææ¥ã ãšããããšã¯ãªããªãã°ã«ãã«çè¿ããšããããšããªãããã®ããã | (Ex): ¬{HD}x -> ¬{CN}x | [
"fact17 -> int1: ãããã®å
Œãåããæ°Žææ¥ã§ãªããªãã°ããã¯ã«ãã«çè¿ããšããããšããªã; int1 -> hypothesis;"
] | 2 | 1 | 1 | 15 | 0 | 15 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãããæã
ãããšããããšã¯ãªããªãã°ããã ããããšããããšã¯æãç«ã€ããã®ã¯ãã fact2: ãããã®æš«ã¯ãã ãããšããããšããªããªãã°ãããä¿ãããã³ã§ãªã fact3: ãããæã
ãããªãã°ããã ãããšããããšããªãããšããããšã¯æ¬åœãªããã®ããã fact4: ãããåçãèãæããšããããšããªããªãã°å®èŒã ãšããããšããªãããã®ã¯ãã fact5: ãããã®ç¶æ
ããããããšããããšããªããªãã°ãããæã
ãããšããããšã¯ãªã fact6: ããããã®æš«ããããããããšããããšããªãããšããããšã¯äºå®ãªãã°ãããé¡ããšããããšããªã fact7: ããããã©ããªããªãã°å
èŠãããªãããã®ããã fact8: ãããã®æš«ã¯æã
ãããšããããšã¯ãªããªãã°ããã¯ãã ãã fact9: ãããã®æš«ã¯æ¥ãããšããããšããªããªãã°ãããåéå±±é«å¡ã§ãªã fact10: ããããã®æš«ãæã
ãããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ããã¯ãã¿ãã ããªã fact11: ãããã®æš«ã¯æã
ãããšããããšã¯ãªããªãã°ãããã¯ãã ãããªãããšããããšãçå®ã fact12: ãããæžéã ãšããããšããªããªãã°ããµã«ãã«ãããã ããšããããšããªãããšããããšã¯æãç«ã€ããã®ããã fact13: ãããå¢æ£®ã§ãªããªãã°æ·±è±ã ãšããããšããªãããã®ã¯ãã fact14: ãããã®æš«ã¯æã
ãããªãã°ããããã ãããšããããšããªã fact15: ãããäžé·äºã«èžã¿ç· ãããšããããšããªããªãã°å次éããããšããªããšããããšã¯ãªãããã®ã¯ãã fact16: ããããããã®ãæ°Žææ¥ã ãšããããšããªãããšããããšã¯æãç«ãŠã°ãããã«ãã«çè¿ããšããããšã¯ãªã ; $hypothesis$ = ããããæã
ãããšããããšããªãããšããããšãæãç«ãŠã°ãã ãããªãããã®ããã ; $proof$ = | fact11 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): ¬{B}x -> {C}x fact2: ¬{C}{aa} -> ¬{AI}{aa} fact3: (Ex): {B}x -> ¬{C}x fact4: (Ex): ¬{HL}x -> ¬{CR}x fact5: ¬{EC}{fn} -> ¬{B}{fn} fact6: ¬{FS}{aa} -> ¬{GQ}{aa} fact7: (Ex): ¬{HB}x -> ¬{EJ}x fact8: ¬{B}{aa} -> {C}{aa} fact9: ¬{ER}{aa} -> ¬{DU}{aa} fact10: ¬{B}{aa} -> ¬{DK}{aa} fact11: ¬{B}{aa} -> ¬{C}{aa} fact12: (Ex): ¬{CO}x -> ¬{FN}x fact13: (Ex): ¬{AK}x -> ¬{JJ}x fact14: {B}{aa} -> ¬{C}{aa} fact15: (Ex): ¬{T}x -> ¬{EE}x fact16: (x): ¬{HD}x -> ¬{CN}x ; $hypothesis$ = (Ex): ¬{B}x -> ¬{C}x ; $proof$ = | fact11 -> hypothesis; __PROVED__ |
0.3 | éããšããããšãèµ·ãã | {B} | fact1: ãããéé»æ°ãšå®ã£ãœããšããããšäž¡æ¹ãçºçããããšããããšãåãªãã°çããããšããããšã¯èµ·ããªã fact2: ãæ¿åã也äžããããšãçºçããªãããšããããšã¯æãç«ã€ fact3: åµãããšã¯èµ·ããªããšããããšã¯ããããããšã¯çããªããšããããšã«ãããããã fact4: æšããšããããšãèµ·ããªããšããããšã¯ã倧局ããããšããããšãèµ·ãããªãããšããããšããããã fact5: ãããã¿ããããšããããšãšèžãæããšããããšäž¡æ¹ã¯çããããšããããšãåãªãã°æ¡çšã¯èµ·ããªã fact6: ãåµãããšãšãã ãããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ããããèžã¿ä»ããããšã¯èµ·ãããåžé£ããµãããããšã¯çããããšããããšã誀ãã ããšããããšãäºå®ãªãã°ãã³ãã«ããããŠãããããšã¯èµ·ããªã fact8: 代ããã¯èµ·ããªããšããããšããçããããšããããšãèµ·ãããªãããšããããšã«åž°çµãã fact9: ãããæ®ãå€ããšããããšãšæ³¢åäž¡æ¹ã¯èµ·ããããšããããšãæãç«ããªããªãã°è¶
æ°æã«ããŠãããããšã¯çºçããªã fact10: ãéèããšããããšã¯èµ·ããªãããšããããšã¯è¿æ»ãèµ·ããªããšããããšã«ããçãã fact11: ãæã²ã©ããšããããšã¯èµ·ãããäžå€©ã掲ãæµ®ãã³äžãããããšãçããããšããããšãééãã fact12: ãããæ±ãçºçããããããããšããããšãçããããšããããšã¯äºå®ãšç°ãªãã°ãéããšããããšã¯èµ·ããªãããšããããšãæãç«ã€ fact13: ãæ°é£ããããšããããšãšããããšããããšã¯èµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact14: ãã黎èããšããããšãçããã°ãã©ã€ã¯çºçããªããŠéããšããããšãçºçããªã fact15: ãããã©ã€ãçºçããªããªãã°ãã¶ã£ãšã°ãããšãšããããšãªããšããããšäž¡æ¹ãçºçããããšããããšã¯äºå®ã§ãªã | fact1: ¬({BN} & {HO}) -> ¬{BJ} fact2: ¬{HR} fact3: ¬{AT} -> ¬{BI} fact4: ¬{IU} -> ¬{HF} fact5: ¬({EH} & {HJ}) -> ¬{IT} fact6: ¬({BI} & {CR}) fact7: ¬({HK} & {HU}) -> ¬{AP} fact8: ¬{EB} -> ¬{BJ} fact9: ¬({EA} & {DJ}) -> ¬{EI} fact10: ¬{DS} -> ¬{IB} fact11: ¬({HM} & {CJ}) fact12: ¬({AA} & {AB}) -> ¬{B} fact13: ¬({JC} & {IK}) fact14: {C} -> (¬{A} & ¬{B}) fact15: ¬{A} -> ¬({CT} & {AG}) | [] | [] | ãã¶ã£ãšã°ãããšãšããããšãªããšããããšäž¡æ¹ãèµ·ããããšããããšãæãç«ããªã | ¬({CT} & {AG}) | [] | 7 | 1 | null | 14 | 0 | 14 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããéé»æ°ãšå®ã£ãœããšããããšäž¡æ¹ãçºçããããšããããšãåãªãã°çããããšããããšã¯èµ·ããªã fact2: ãæ¿åã也äžããããšãçºçããªãããšããããšã¯æãç«ã€ fact3: åµãããšã¯èµ·ããªããšããããšã¯ããããããšã¯çããªããšããããšã«ãããããã fact4: æšããšããããšãèµ·ããªããšããããšã¯ã倧局ããããšããããšãèµ·ãããªãããšããããšããããã fact5: ãããã¿ããããšããããšãšèžãæããšããããšäž¡æ¹ã¯çããããšããããšãåãªãã°æ¡çšã¯èµ·ããªã fact6: ãåµãããšãšãã ãããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ããããèžã¿ä»ããããšã¯èµ·ãããåžé£ããµãããããšã¯çããããšããããšã誀ãã ããšããããšãäºå®ãªãã°ãã³ãã«ããããŠãããããšã¯èµ·ããªã fact8: 代ããã¯èµ·ããªããšããããšããçããããšããããšãèµ·ãããªãããšããããšã«åž°çµãã fact9: ãããæ®ãå€ããšããããšãšæ³¢åäž¡æ¹ã¯èµ·ããããšããããšãæãç«ããªããªãã°è¶
æ°æã«ããŠãããããšã¯çºçããªã fact10: ãéèããšããããšã¯èµ·ããªãããšããããšã¯è¿æ»ãèµ·ããªããšããããšã«ããçãã fact11: ãæã²ã©ããšããããšã¯èµ·ãããäžå€©ã掲ãæµ®ãã³äžãããããšãçããããšããããšãééãã fact12: ãããæ±ãçºçããããããããšããããšãçããããšããããšã¯äºå®ãšç°ãªãã°ãéããšããããšã¯èµ·ããªãããšããããšãæãç«ã€ fact13: ãæ°é£ããããšããããšãšããããšããããšã¯èµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact14: ãã黎èããšããããšãçããã°ãã©ã€ã¯çºçããªããŠéããšããããšãçºçããªã fact15: ãããã©ã€ãçºçããªããªãã°ãã¶ã£ãšã°ãããšãšããããšãªããšããããšäž¡æ¹ãçºçããããšããããšã¯äºå®ã§ãªã ; $hypothesis$ = éããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({BN} & {HO}) -> ¬{BJ} fact2: ¬{HR} fact3: ¬{AT} -> ¬{BI} fact4: ¬{IU} -> ¬{HF} fact5: ¬({EH} & {HJ}) -> ¬{IT} fact6: ¬({BI} & {CR}) fact7: ¬({HK} & {HU}) -> ¬{AP} fact8: ¬{EB} -> ¬{BJ} fact9: ¬({EA} & {DJ}) -> ¬{EI} fact10: ¬{DS} -> ¬{IB} fact11: ¬({HM} & {CJ}) fact12: ¬({AA} & {AB}) -> ¬{B} fact13: ¬({JC} & {IK}) fact14: {C} -> (¬{A} & ¬{B}) fact15: ¬{A} -> ¬({CT} & {AG}) ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããããšããããšã¯èµ·ãããªããŠé·ç«ãçããªã | (¬{AA} & ¬{AB}) | fact1: ãããåªå ã«æ°ã«å
¥ãããšã¯çãããè©å
¥ããçããããšããããšã¯çå®ã§ãªããªãã°è©å
¥ãã¯çºçããªã fact2: ããããããšããããšã¯çãããé·ç«ã¯èµ·ãããªãããšããããšã¯æãç«ã€ãšããããšããªã fact3: ãã觊蚺ã¯èµ·ãããªããªãã°ããåªå ã«æ°ã«å
¥ãããšãçãããè©å
¥ãã¯èµ·ããããšããããšãåã ããšããããšãæãç«ã€ fact4: ãã¡ããããšããããšãçããªããããããããªãããšãçããããšããããšãããããã³åµå±±ãæãããããšãèµ·ãããªãããšããããšã«èµ·å ãã fact5: ãããé²å±ãšè§Šèšºã¯èµ·ããããšããããšãåœãªãã°è§Šèšºã¯èµ·ãããªã fact6: ãããããŸããããšã¯çºçããã°ãŠãããããšããããšã¯çºçããªããŠãããã³åµå±±ãæãããããšãçºçããªã fact7: ããè¡æ¥œã¯çããªããªãã°ãããŸããããšãšè»œãããããšããããšã¯çãã fact8: ããé²ãèµ·ããã°è©£ã§ãããšãçºçããªããŠå€§èµŠã¯èµ·ãããªã fact9: ãã¡ããããšããããšãèµ·ãããªãããšããããšã¯ãæã¥ãããšããããšãèµ·ãããçžæ
ãçºçããããšããããšãçºçããã fact10: ãèªéŠãçããªããŠæ ¹ã¥ãããšããããšãèµ·ãããªãããšããããšãæãç«ããªã fact11: ããè©å
¥ããçããªããªãã°ãè¡æ¥œã¯çãããéªéã£æ°ã«ãšããªããããšã¯èµ·ãããªãããšããããšãæãç«ã€ãšããããšããªã fact12: ããè©£ã§ãããšãçããªããªãã°ãé²èŠ§ã¯çºçããªããŠåšããããšãçºçããªãããšããããšã¯äºå®ãšç°ãªã fact13: ãæã¥ãããšããããšã¯èµ·ããããšããããšããé²ãçºçããããšããããšãæã fact14: ããçŽãããããšããããšã¯çããªããªãã°ãé²å±ãèµ·ããã觊蚺ãçããããšããããšãæãç«ããªã fact15: ãããè¡æ¥œãèµ·ããããããéªéã£æ°ã«ãšããªããããšãçºçããªãããšããããšãééããªãã°è¡æ¥œã¯èµ·ãããªã fact16: ããããããšããããšã¯çºçããªããŠé·ç«ã¯çºçããããšããããšãåã fact17: ã察åŠã¯èµ·ãããªããŠçã¬ãããšããããšã¯èµ·ããªãããšããããšã誀ãã | fact1: ¬({P} & {N}) -> ¬{N} fact2: ¬({AA} & ¬{AB}) fact3: ¬{O} -> ¬({P} & {N}) fact4: ¬{H} -> (¬{F} & {G}) fact5: ¬({Q} & {O}) -> ¬{O} fact6: {J} -> (¬{I} & ¬{H}) fact7: ¬{L} -> ({J} & {K}) fact8: {C} -> (¬{A} & ¬{B}) fact9: ¬{F} -> ({D} & {E}) fact10: ¬(¬{DI} & ¬{EP}) fact11: ¬{N} -> ¬({L} & ¬{M}) fact12: ¬{A} -> ¬(¬{CP} & ¬{CD}) fact13: {D} -> {C} fact14: ¬{R} -> ¬({Q} & {O}) fact15: ¬({L} & ¬{M}) -> ¬{L} fact16: ¬(¬{AA} & {AB}) fact17: ¬(¬{HE} & ¬{EE}) | [] | [] | ãé²èŠ§ã¯çºçããªããŠåšããããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬(¬{CP} & ¬{CD}) | [] | 18 | 1 | null | 17 | 0 | 17 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããåªå ã«æ°ã«å
¥ãããšã¯çãããè©å
¥ããçããããšããããšã¯çå®ã§ãªããªãã°è©å
¥ãã¯çºçããªã fact2: ããããããšããããšã¯çãããé·ç«ã¯èµ·ãããªãããšããããšã¯æãç«ã€ãšããããšããªã fact3: ãã觊蚺ã¯èµ·ãããªããªãã°ããåªå ã«æ°ã«å
¥ãããšãçãããè©å
¥ãã¯èµ·ããããšããããšãåã ããšããããšãæãç«ã€ fact4: ãã¡ããããšããããšãçããªããããããããªãããšãçããããšããããšãããããã³åµå±±ãæãããããšãèµ·ãããªãããšããããšã«èµ·å ãã fact5: ãããé²å±ãšè§Šèšºã¯èµ·ããããšããããšãåœãªãã°è§Šèšºã¯èµ·ãããªã fact6: ãããããŸããããšã¯çºçããã°ãŠãããããšããããšã¯çºçããªããŠãããã³åµå±±ãæãããããšãçºçããªã fact7: ããè¡æ¥œã¯çããªããªãã°ãããŸããããšãšè»œãããããšããããšã¯çãã fact8: ããé²ãèµ·ããã°è©£ã§ãããšãçºçããªããŠå€§èµŠã¯èµ·ãããªã fact9: ãã¡ããããšããããšãèµ·ãããªãããšããããšã¯ãæã¥ãããšããããšãèµ·ãããçžæ
ãçºçããããšããããšãçºçããã fact10: ãèªéŠãçããªããŠæ ¹ã¥ãããšããããšãèµ·ãããªãããšããããšãæãç«ããªã fact11: ããè©å
¥ããçããªããªãã°ãè¡æ¥œã¯çãããéªéã£æ°ã«ãšããªããããšã¯èµ·ãããªãããšããããšãæãç«ã€ãšããããšããªã fact12: ããè©£ã§ãããšãçããªããªãã°ãé²èŠ§ã¯çºçããªããŠåšããããšãçºçããªãããšããããšã¯äºå®ãšç°ãªã fact13: ãæã¥ãããšããããšã¯èµ·ããããšããããšããé²ãçºçããããšããããšãæã fact14: ããçŽãããããšããããšã¯çããªããªãã°ãé²å±ãèµ·ããã觊蚺ãçããããšããããšãæãç«ããªã fact15: ãããè¡æ¥œãèµ·ããããããéªéã£æ°ã«ãšããªããããšãçºçããªãããšããããšãééããªãã°è¡æ¥œã¯èµ·ãããªã fact16: ããããããšããããšã¯çºçããªããŠé·ç«ã¯çºçããããšããããšãåã fact17: ã察åŠã¯èµ·ãããªããŠçã¬ãããšããããšã¯èµ·ããªãããšããããšã誀ãã ; $hypothesis$ = ãããããšããããšã¯èµ·ãããªããŠé·ç«ãçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({P} & {N}) -> ¬{N} fact2: ¬({AA} & ¬{AB}) fact3: ¬{O} -> ¬({P} & {N}) fact4: ¬{H} -> (¬{F} & {G}) fact5: ¬({Q} & {O}) -> ¬{O} fact6: {J} -> (¬{I} & ¬{H}) fact7: ¬{L} -> ({J} & {K}) fact8: {C} -> (¬{A} & ¬{B}) fact9: ¬{F} -> ({D} & {E}) fact10: ¬(¬{DI} & ¬{EP}) fact11: ¬{N} -> ¬({L} & ¬{M}) fact12: ¬{A} -> ¬(¬{CP} & ¬{CD}) fact13: {D} -> {C} fact14: ¬{R} -> ¬({Q} & {O}) fact15: ¬({L} & ¬{M}) -> ¬{L} fact16: ¬(¬{AA} & {AB}) fact17: ¬(¬{HE} & ¬{EE}) ; $hypothesis$ = (¬{AA} & ¬{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã®å³ã¯è§æ±ã ãšããããšã¯ãªãããããæž
æ°Žçºäžç³ã«æè¿ãããšããããšãåã ããšããããšãæãç«ã€ | ¬(¬{A}{a} & {B}{a}) | fact1: ãã®å³ã¯æž
æ°Žçºäžç³ã«æè¿ã fact2: ããäœããåèæ¬æçæ倧åŠã§ãªããªãã°ãããã®ã¹ã©ãã¯ã¹ã觊æããããåããããã¯åèæ¬æçæ倧åŠã ããšããããšãæãç«ããªãããšããããšã¯æ¬åœã fact3: ããäœããç£ç§ããšãã¯ããããªããç
ãè©°ããã°ãã®ããªãžã ãã¡ãŒã³ã¬ãŒã¹ã fact4: ãã®é§
ã¯è§æ±ã ãšããããšã¯ãªã fact5: ãã®å³ãæã足ã«ã«ãšããªã fact6: ãã®æµ·ç£ã¯æž
æ°Žçºäžç³ã«æè¿ã fact7: ãã®ã¹ã©ãã¯ã¹ã¯ç
ãè©°ããããããç£ç§ããšãã¯ãããã fact8: ãã®ã¢ãžã¥ãŒã«ã¯çæã§ãªãããããè¬æ¶²ã fact9: ããããã®ãç£ç§ããšãã¯ãããããšããããšã¯ãªããããããããç
ãè©°ããããšããããšã¯æ¬åœã fact10: ããããããã®ã¯è§Šæããããåããåèæ¬æçæ倧åŠã ããšããããšãééããªãã°ããã觊æããããåããªã fact11: ãããç
ãè©°ãããç£ç§ããšãã¯ããããããã®ãããã°ãã®é·²ãåèæ¬æçæ倧åŠã ãšããããšã¯ãªã fact12: ãã®çŒãçµµãæž
æ°Žçºäžç³ã«æè¿ããªã fact13: ãããã®ã¹ã©ãã¯ã¹ã觊æããããåããšããããšããªããªãã°ãã®é·²ãæµé è³ã§ãªããè§æ±ã fact14: ã¡ãŒã³ã¬ãŒã¹ã¯åèæ¬æçæ倧åŠã§ãªã fact15: ãã®å³ã¯è§æ±ã ãšããããšããªã fact16: ãããã®é·²ã¯åèæ¬æçæ倧åŠã ãšããããšã¯ãªããªãã°ãããã觊æããããåããªããããã¯ã¡ãŒã³ã¬ãŒã¹ã§ãªãããšããããšã¯åœã fact17: ãã®å³ã¯äžä¹ä¿ãæ»ãæããªã fact18: ãã®å³ãç¬ã身ã ãšããããšã¯ãªã fact19: ãã®æž
æ°Žçºäžç³ã¯å³ãæè¿ã fact20: ããäœãã¯è§Šæããããåãã°ããã¯æž
æ°Žçºäžç³ã«æè¿ããšããããšããªããæµé è³ã | fact1: {B}{a} fact2: (x): ¬{F}x -> ¬({D}{c} & {F}{c}) fact3: (x): (¬{H}x & {G}x) -> {E}{d} fact4: ¬{A}{eo} fact5: ¬{DM}{a} fact6: {B}{ck} fact7: ({G}{c} & {H}{c}) fact8: (¬{HK}{cm} & {EL}{cm}) fact9: (Ex): (¬{H}x & {G}x) fact10: (x): ¬({D}x & {F}x) -> ¬{D}x fact11: (x): ({G}x & {H}x) -> ¬{F}{b} fact12: ¬{B}{dp} fact13: ¬{D}{c} -> (¬{C}{b} & {A}{b}) fact14: (x): {E}x -> ¬{F}x fact15: ¬{A}{a} fact16: ¬{F}{b} -> ¬(¬{D}{b} & ¬{E}{b}) fact17: ¬{BD}{a} fact18: ¬{Q}{a} fact19: {AA}{aa} fact20: (x): {D}x -> (¬{B}x & {C}x) | [
"fact15 & fact1 -> hypothesis;"
] | [
"fact15 & fact1 -> hypothesis;"
] | ãã®å·®ãåŒããè§æ±ã§ãªã | ¬{A}{ha} | [
"fact24 -> int1: ãããã®å³ã觊æããããåãã°ããã¯æž
æ°Žçºäžç³ã«æè¿ããªããŠããã¯æµé è³ã ; fact22 -> int2: ãç
ãè©°ãããç£ç§ããšãã¯ããããããã®ããã; int2 & fact23 -> int3: ãã®é·²ãåèæ¬æçæ倧åŠã§ãªã; fact21 & int3 -> int4: ããã®é·²ã觊æããããåããªããã¡ãŒã³ã¬ãŒã¹ã§ãªãããšããããšãåœã ; int4 -> int5: ãã觊æããããåããšããããšã¯ãªããã¡ãŒã³ã¬ãŒã¹ã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšããªãããã®ã¯ãã;"
] | 8 | 1 | 1 | 18 | 0 | 18 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®å³ã¯æž
æ°Žçºäžç³ã«æè¿ã fact2: ããäœããåèæ¬æçæ倧åŠã§ãªããªãã°ãããã®ã¹ã©ãã¯ã¹ã觊æããããåããããã¯åèæ¬æçæ倧åŠã ããšããããšãæãç«ããªãããšããããšã¯æ¬åœã fact3: ããäœããç£ç§ããšãã¯ããããªããç
ãè©°ããã°ãã®ããªãžã ãã¡ãŒã³ã¬ãŒã¹ã fact4: ãã®é§
ã¯è§æ±ã ãšããããšã¯ãªã fact5: ãã®å³ãæã足ã«ã«ãšããªã fact6: ãã®æµ·ç£ã¯æž
æ°Žçºäžç³ã«æè¿ã fact7: ãã®ã¹ã©ãã¯ã¹ã¯ç
ãè©°ããããããç£ç§ããšãã¯ãããã fact8: ãã®ã¢ãžã¥ãŒã«ã¯çæã§ãªãããããè¬æ¶²ã fact9: ããããã®ãç£ç§ããšãã¯ãããããšããããšã¯ãªããããããããç
ãè©°ããããšããããšã¯æ¬åœã fact10: ããããããã®ã¯è§Šæããããåããåèæ¬æçæ倧åŠã ããšããããšãééããªãã°ããã觊æããããåããªã fact11: ãããç
ãè©°ãããç£ç§ããšãã¯ããããããã®ãããã°ãã®é·²ãåèæ¬æçæ倧åŠã ãšããããšã¯ãªã fact12: ãã®çŒãçµµãæž
æ°Žçºäžç³ã«æè¿ããªã fact13: ãããã®ã¹ã©ãã¯ã¹ã觊æããããåããšããããšããªããªãã°ãã®é·²ãæµé è³ã§ãªããè§æ±ã fact14: ã¡ãŒã³ã¬ãŒã¹ã¯åèæ¬æçæ倧åŠã§ãªã fact15: ãã®å³ã¯è§æ±ã ãšããããšããªã fact16: ãããã®é·²ã¯åèæ¬æçæ倧åŠã ãšããããšã¯ãªããªãã°ãããã觊æããããåããªããããã¯ã¡ãŒã³ã¬ãŒã¹ã§ãªãããšããããšã¯åœã fact17: ãã®å³ã¯äžä¹ä¿ãæ»ãæããªã fact18: ãã®å³ãç¬ã身ã ãšããããšã¯ãªã fact19: ãã®æž
æ°Žçºäžç³ã¯å³ãæè¿ã fact20: ããäœãã¯è§Šæããããåãã°ããã¯æž
æ°Žçºäžç³ã«æè¿ããšããããšããªããæµé è³ã ; $hypothesis$ = ãããã®å³ã¯è§æ±ã ãšããããšã¯ãªãããããæž
æ°Žçºäžç³ã«æè¿ãããšããããšãåã ããšããããšãæãç«ã€ ; $proof$ = | fact15 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: (x): ¬{F}x -> ¬({D}{c} & {F}{c}) fact3: (x): (¬{H}x & {G}x) -> {E}{d} fact4: ¬{A}{eo} fact5: ¬{DM}{a} fact6: {B}{ck} fact7: ({G}{c} & {H}{c}) fact8: (¬{HK}{cm} & {EL}{cm}) fact9: (Ex): (¬{H}x & {G}x) fact10: (x): ¬({D}x & {F}x) -> ¬{D}x fact11: (x): ({G}x & {H}x) -> ¬{F}{b} fact12: ¬{B}{dp} fact13: ¬{D}{c} -> (¬{C}{b} & {A}{b}) fact14: (x): {E}x -> ¬{F}x fact15: ¬{A}{a} fact16: ¬{F}{b} -> ¬(¬{D}{b} & ¬{E}{b}) fact17: ¬{BD}{a} fact18: ¬{Q}{a} fact19: {AA}{aa} fact20: (x): {D}x -> (¬{B}x & {C}x) ; $hypothesis$ = ¬(¬{A}{a} & {B}{a}) ; $proof$ = | fact15 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ç¬è«é¡ã¯æšæ·±ã | {A}{a} | fact1: ãããã®åœæ°ã¯ããªã¹ã§ããããããã¯ãããæ³¥ã¶ãããªãããããã¯äž¡æ¹ãªãã°ãã®å®¿ãã¯ã¡å¯ã«ãããŸãªã fact2: ããããã®çžä»ã¯ç¥æŸã ãåäžéã§ãªãããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°ãã®æ¥µå¯ãç¥æŸã§ãªã fact3: ãã®ç¬è«é¡ããããããã fact4: ãããã®çžä»ãç©¢ããªããªãã°ããããç¥æŸã ãåäžéã ãšããããšã¯ãªãããšããããšã¯æãç«ããªã fact5: ããã®ççŽãæšæ·±ãããšããããšãæãç«ã€ fact6: ãããäœãã¯ç¥æŸã ãããã¯ããããŸããããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°ãããããããŸãããšããããšã¯ãªã fact7: ããã®ç¬è«é¡ããããã
ãã ããšããããšãæãç«ã€ fact8: ãã®æœ€è²ãæšæ·±ã fact9: ãããã®ç¬è«é¡ãè¿œãæ²ããæšæ·±ããšããããšããªããªãã°ãã®åèã¯æšæ·±ã fact10: ããã®ç¬è«é¡ãæšæ·±ãããšããããšã¯æãç«ã€ fact11: ãããã®åœæ°ã¯ããããŸãããšããããšããªããªãã°ãããçžåº§ã ããããäžäœã§ãªã fact12: ããã®ç¬è«é¡ã¯çãããããšããããšãæãç«ã€ fact13: ãã®MÃŽnicaãæšæ·±ã fact14: çžåº§ã¯ããªã¹ã§ããããããã¯æ³¥ã¶ãããªã fact15: ãããã®å®¿ãã¯ã¡å¯ã«ãããŸãªããªãã°ãã®ç¬è«é¡ã¯è¿œãæ²ããããã¯æšæ·±ããšããããšããªã fact16: ãã®ç¬è«é¡ãæ°ç°é«çåŠæ ¡ã«ã€ãã fact17: ããã®çŽ
è£ã¯æšæ·±ãããšããããšãæãç«ã€ fact18: ãããã®å®¿ãã¯è¿œãæ²ããªããªãã°ãã®ç¬è«é¡ãã¡å¯ã«ãããŸãªããæšæ·±ããšããããšããªã | fact1: ({E}{c} v ¬{D}{c}) -> ¬{B}{b} fact2: ¬({I}{e} & ¬{K}{e}) -> ¬{I}{d} fact3: {FN}{a} fact4: ¬{J}{e} -> ¬({I}{e} & ¬{K}{e}) fact5: {A}{di} fact6: (x): ¬({I}x & {H}x) -> ¬{H}x fact7: {AK}{a} fact8: {A}{cb} fact9: ({C}{a} & ¬{A}{a}) -> {A}{io} fact10: {A}{a} fact11: ¬{H}{c} -> ({F}{c} & ¬{G}{c}) fact12: {GC}{a} fact13: {A}{co} fact14: (x): {F}x -> ({E}x v ¬{D}x) fact15: ¬{B}{b} -> ({C}{a} & ¬{A}{a}) fact16: {O}{a} fact17: {A}{bk} fact18: ¬{C}{b} -> (¬{B}{a} & ¬{A}{a}) | [
"fact10 -> hypothesis;"
] | [
"fact10 -> hypothesis;"
] | ããã®åèã¯æšæ·±ãããšããããšãæ£ãã | {A}{io} | [
"fact22 -> int1: ãããã®åœæ°ãçžåº§ãªãã°ããã¯ããªã¹ã§ãããæ³¥ã¶ãããšããããšã¯ãªãããããã¯äž¡æ¹ã ; fact24 -> int2: ããããã®åœæ°ã¯ç¥æŸã§ãã£ãŠããããŸãããã®ããšããããšã¯äºå®ãšç°ãªãã°ããã¯ããããŸãããšããããšã¯ãªã;"
] | 11 | 1 | 0 | 17 | 0 | 17 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®åœæ°ã¯ããªã¹ã§ããããããã¯ãããæ³¥ã¶ãããªãããããã¯äž¡æ¹ãªãã°ãã®å®¿ãã¯ã¡å¯ã«ãããŸãªã fact2: ããããã®çžä»ã¯ç¥æŸã ãåäžéã§ãªãããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°ãã®æ¥µå¯ãç¥æŸã§ãªã fact3: ãã®ç¬è«é¡ããããããã fact4: ãããã®çžä»ãç©¢ããªããªãã°ããããç¥æŸã ãåäžéã ãšããããšã¯ãªãããšããããšã¯æãç«ããªã fact5: ããã®ççŽãæšæ·±ãããšããããšãæãç«ã€ fact6: ãããäœãã¯ç¥æŸã ãããã¯ããããŸããããšããããšãæãç«ã€ãšããããšã¯ãªããªãã°ãããããããŸãããšããããšã¯ãªã fact7: ããã®ç¬è«é¡ããããã
ãã ããšããããšãæãç«ã€ fact8: ãã®æœ€è²ãæšæ·±ã fact9: ãããã®ç¬è«é¡ãè¿œãæ²ããæšæ·±ããšããããšããªããªãã°ãã®åèã¯æšæ·±ã fact10: ããã®ç¬è«é¡ãæšæ·±ãããšããããšã¯æãç«ã€ fact11: ãããã®åœæ°ã¯ããããŸãããšããããšããªããªãã°ãããçžåº§ã ããããäžäœã§ãªã fact12: ããã®ç¬è«é¡ã¯çãããããšããããšãæãç«ã€ fact13: ãã®MÃŽnicaãæšæ·±ã fact14: çžåº§ã¯ããªã¹ã§ããããããã¯æ³¥ã¶ãããªã fact15: ãããã®å®¿ãã¯ã¡å¯ã«ãããŸãªããªãã°ãã®ç¬è«é¡ã¯è¿œãæ²ããããã¯æšæ·±ããšããããšããªã fact16: ãã®ç¬è«é¡ãæ°ç°é«çåŠæ ¡ã«ã€ãã fact17: ããã®çŽ
è£ã¯æšæ·±ãããšããããšãæãç«ã€ fact18: ãããã®å®¿ãã¯è¿œãæ²ããªããªãã°ãã®ç¬è«é¡ãã¡å¯ã«ãããŸãªããæšæ·±ããšããããšããªã ; $hypothesis$ = ãã®ç¬è«é¡ã¯æšæ·±ã ; $proof$ = | fact10 -> hypothesis; __PROVED__ | $facts$ = fact1: ({E}{c} v ¬{D}{c}) -> ¬{B}{b} fact2: ¬({I}{e} & ¬{K}{e}) -> ¬{I}{d} fact3: {FN}{a} fact4: ¬{J}{e} -> ¬({I}{e} & ¬{K}{e}) fact5: {A}{di} fact6: (x): ¬({I}x & {H}x) -> ¬{H}x fact7: {AK}{a} fact8: {A}{cb} fact9: ({C}{a} & ¬{A}{a}) -> {A}{io} fact10: {A}{a} fact11: ¬{H}{c} -> ({F}{c} & ¬{G}{c}) fact12: {GC}{a} fact13: {A}{co} fact14: (x): {F}x -> ({E}x v ¬{D}x) fact15: ¬{B}{b} -> ({C}{a} & ¬{A}{a}) fact16: {O}{a} fact17: {A}{bk} fact18: ¬{C}{b} -> (¬{B}{a} & ¬{A}{a}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact10 -> hypothesis; __PROVED__ |
0.3 | ããã®å¯©å€å®ãçããããããªããããã¯æžèŸºã§ãªãããšããããšãåœã | ¬(¬{AA}{a} & ¬{AB}{a}) | fact1: ãããããšããããšããªããã®ãè³ãã fact2: ããããã®å²©å®€ã¯è³ãããªãããšããããšãæ¬åœãªãã°ãããæ竹ã ãšããããšã¯ãªã fact3: ãããã®å¯©å€å®ã¯é¢éäžé¡ã ãšããããšã¯ãªããªãã°ãããè³ãããšããããšããªã fact4: ãã®åœç©ãå°ãã§ãªããããã修埩ã«ããç»ããšããããšã¯ãªã fact5: ãã®ãªãŒããŒãçããããããšããããšããªã fact6: ãããã®å¯©å€å®ãå°ããããä¹ãã¯ãããšããããšããªããªãã°ããã¯ãã³ã³ãŒã ãç©å
ã fact7: ãã®å¯©å€å®ã¯å€©ã±å²¡ãã¯ããšã°ããšããããšããªã fact8: ãããäœããçããããããšããããšã¯ãªããããã¯ãã³ã³ãŒã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšããªããªãã°ããã¯çããããã fact9: ãããã®å¯©å€å®ãèš³ç¥ãã矀ãããªããªãã°ããã¯æ²ãæãããšããããšã¯ãªã fact10: ãããããã®ã¯è³ãããªãã°ãããã¯çããããããšããããšããªããããã¯ãã³ã³ãŒã§ãªãããšããããšã¯æãç«ã€ãšããããšããªã fact11: ãããã®å¯©å€å®ã¯è³ãããªããªãã°ãããçããããããšããããšããªããŠããã¯æžèŸºã ãšããããšããªã fact12: ãããã®å¯©å€å®ããã³ã³ãŒã ãããã¯ãããããªããªãã°ãã®å©ŠèŠãè³ãããšããããšã¯ãªã | fact1: (x): ¬{C}x -> {A}x fact2: ¬{A}{bb} -> ¬{JG}{bb} fact3: ¬{FS}{a} -> ¬{A}{a} fact4: (¬{IK}{gn} & ¬{AG}{gn}) fact5: ¬{AA}{ek} fact6: ¬{G}{a} -> ({B}{a} & {E}{a}) fact7: ¬{FK}{a} fact8: (x): ¬(¬{AA}x & ¬{B}x) -> {AA}x fact9: ¬{GU}{a} -> ¬{IF}{a} fact10: (x): {A}x -> ¬(¬{AA}x & ¬{B}x) fact11: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact12: ({B}{a} & ¬{C}{a}) -> ¬{A}{ip} | [] | [] | ããã®å¯©å€å®ã¯çããããããªããæžèŸºã ãšããããšã¯ãªãããšããããšã¯ééãã | ¬(¬{AA}{a} & ¬{AB}{a}) | [
"fact13 -> int1: ãããããã®ååãçããããããªããããããã³ã³ãŒã ãšããããšããªãããšããããšã¯çå®ã ããšããããšãééããªãã°ããã¯çããããã; fact14 -> int2: ãããã®ååã¯è³ãããªãã°ãããã¯çããããããªããããããã³ã³ãŒã§ãªãããšããããšãæãç«ããªã; fact15 -> int3: ãããã®ååã¯ãããããšããããšããªããªãã°ããã¯è³ãã;"
] | 6 | 1 | null | 11 | 0 | 11 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããšããããšããªããã®ãè³ãã fact2: ããããã®å²©å®€ã¯è³ãããªãããšããããšãæ¬åœãªãã°ãããæ竹ã ãšããããšã¯ãªã fact3: ãããã®å¯©å€å®ã¯é¢éäžé¡ã ãšããããšã¯ãªããªãã°ãããè³ãããšããããšããªã fact4: ãã®åœç©ãå°ãã§ãªããããã修埩ã«ããç»ããšããããšã¯ãªã fact5: ãã®ãªãŒããŒãçããããããšããããšããªã fact6: ãããã®å¯©å€å®ãå°ããããä¹ãã¯ãããšããããšããªããªãã°ããã¯ãã³ã³ãŒã ãç©å
ã fact7: ãã®å¯©å€å®ã¯å€©ã±å²¡ãã¯ããšã°ããšããããšããªã fact8: ãããäœããçããããããšããããšã¯ãªããããã¯ãã³ã³ãŒã ãšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšããªããªãã°ããã¯çããããã fact9: ãããã®å¯©å€å®ãèš³ç¥ãã矀ãããªããªãã°ããã¯æ²ãæãããšããããšã¯ãªã fact10: ãããããã®ã¯è³ãããªãã°ãããã¯çããããããšããããšããªããããã¯ãã³ã³ãŒã§ãªãããšããããšã¯æãç«ã€ãšããããšããªã fact11: ãããã®å¯©å€å®ã¯è³ãããªããªãã°ãããçããããããšããããšããªããŠããã¯æžèŸºã ãšããããšããªã fact12: ãããã®å¯©å€å®ããã³ã³ãŒã ãããã¯ãããããªããªãã°ãã®å©ŠèŠãè³ãããšããããšã¯ãªã ; $hypothesis$ = ããã®å¯©å€å®ãçããããããªããããã¯æžèŸºã§ãªãããšããããšãåœã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{C}x -> {A}x fact2: ¬{A}{bb} -> ¬{JG}{bb} fact3: ¬{FS}{a} -> ¬{A}{a} fact4: (¬{IK}{gn} & ¬{AG}{gn}) fact5: ¬{AA}{ek} fact6: ¬{G}{a} -> ({B}{a} & {E}{a}) fact7: ¬{FK}{a} fact8: (x): ¬(¬{AA}x & ¬{B}x) -> {AA}x fact9: ¬{GU}{a} -> ¬{IF}{a} fact10: (x): {A}x -> ¬(¬{AA}x & ¬{B}x) fact11: ¬{A}{a} -> (¬{AA}{a} & ¬{AB}{a}) fact12: ({B}{a} & ¬{C}{a}) -> ¬{A}{ip} ; $hypothesis$ = ¬(¬{AA}{a} & ¬{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®è¡å¡ã¯å¶ããšããããšã¯ãªã | ¬{B}{a} | fact1: ãçºãããããã®ããã fact2: ããããã®è·åŽã¯å¶ããšããããšããªããŠå°çªããªãããšããããšã¯ééããªãã°ãã®è¡å¡ãå¶ããªã fact3: ãããããã®ã¯å€©ç©ã§ãªããªãã°ãããã¯å¶ããšããããšããªããå°çªããšããããšããªãããšããããšãåœã fact4: ããããã®ããã³ããŒã³ãã·ããããæ¡ããããªãããšããããšãåœã ãšããããšããªããªãã°ãã®è·åŽã¯å°çªãããã£ãºãããŠããã fact5: ããã®è¡å¡ã¯å°çªãããšããããšãæ¬åœã fact6: ãããã®ããã³ããŒã³ããããããããªãã°ãã®è·åŽã¯ãã£ãºãããŠããã fact7: ãããçºãããããã®ãããã°ãã®ããã³ããŒã³ã¯ãããããããããããã£ãºãããŠããã fact8: ãããã®ããã³ããŒã³ã¯ãã£ãºãããŠãããã°ãã®è·åŽã¯ãã£ãºãããŠããã fact9: ãã®ã«ãªãã©ã¯ãŒãå¶ã fact10: ãããã®è¡å¡ãå°çªãã°ããã¯å¶ã fact11: ãããããã®ããã£ãºãããŠããããã·ããããæ¡ããããã°ããã¯å€©ç©ã ãšããããšã¯ãªã | fact1: (Ex): {H}x fact2: ¬(¬{B}{b} & ¬{A}{b}) -> ¬{B}{a} fact3: (x): ¬{C}x -> ¬(¬{B}x & ¬{A}x) fact4: ¬{E}{c} -> ({A}{b} & {D}{b}) fact5: {A}{a} fact6: {F}{c} -> {D}{b} fact7: (x): {H}x -> ({F}{c} v {D}{c}) fact8: {D}{c} -> {D}{b} fact9: {B}{af} fact10: {A}{a} -> {B}{a} fact11: (x): ({D}x & {E}x) -> ¬{C}x | [
"fact10 & fact5 -> hypothesis;"
] | [
"fact10 & fact5 -> hypothesis;"
] | ãã®è¡å¡ãå¶ããšããããšã¯ãªã | ¬{B}{a} | [
"fact14 -> int1: ãããã®è·åŽã¯å€©ç©ã ãšããããšã¯ãªããªãã°ãããã¯å¶ããªããå°çªããªãããšããããšã¯äºå®ãšç°ãªã; fact13 -> int2: ãããã®è·åŽããã£ãºãããŠãããããããã·ããããæ¡ããããã°ããã¯å€©ç©ã ãšããããšããªã; fact16 & fact17 -> int3: ãã®ããã³ããŒã³ã¯ããããããããããã¯ããã¯ãã£ãºãããŠããã; int3 & fact12 & fact18 -> int4: ãã®è·åŽããã£ãºãããŠããã;"
] | 7 | 1 | 1 | 9 | 0 | 9 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãçºãããããã®ããã fact2: ããããã®è·åŽã¯å¶ããšããããšããªããŠå°çªããªãããšããããšã¯ééããªãã°ãã®è¡å¡ãå¶ããªã fact3: ãããããã®ã¯å€©ç©ã§ãªããªãã°ãããã¯å¶ããšããããšããªããå°çªããšããããšããªãããšããããšãåœã fact4: ããããã®ããã³ããŒã³ãã·ããããæ¡ããããªãããšããããšãåœã ãšããããšããªããªãã°ãã®è·åŽã¯å°çªãããã£ãºãããŠããã fact5: ããã®è¡å¡ã¯å°çªãããšããããšãæ¬åœã fact6: ãããã®ããã³ããŒã³ããããããããªãã°ãã®è·åŽã¯ãã£ãºãããŠããã fact7: ãããçºãããããã®ãããã°ãã®ããã³ããŒã³ã¯ãããããããããããã£ãºãããŠããã fact8: ãããã®ããã³ããŒã³ã¯ãã£ãºãããŠãããã°ãã®è·åŽã¯ãã£ãºãããŠããã fact9: ãã®ã«ãªãã©ã¯ãŒãå¶ã fact10: ãããã®è¡å¡ãå°çªãã°ããã¯å¶ã fact11: ãããããã®ããã£ãºãããŠããããã·ããããæ¡ããããã°ããã¯å€©ç©ã ãšããããšã¯ãªã ; $hypothesis$ = ãã®è¡å¡ã¯å¶ããšããããšã¯ãªã ; $proof$ = | fact10 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): {H}x fact2: ¬(¬{B}{b} & ¬{A}{b}) -> ¬{B}{a} fact3: (x): ¬{C}x -> ¬(¬{B}x & ¬{A}x) fact4: ¬{E}{c} -> ({A}{b} & {D}{b}) fact5: {A}{a} fact6: {F}{c} -> {D}{b} fact7: (x): {H}x -> ({F}{c} v {D}{c}) fact8: {D}{c} -> {D}{b} fact9: {B}{af} fact10: {A}{a} -> {B}{a} fact11: (x): ({D}x & {E}x) -> ¬{C}x ; $hypothesis$ = ¬{B}{a} ; $proof$ = | fact10 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãããããã®ã€ãã¹ã®ããã©ãºãã ãšããããšã¯ãªãããšããããšã¯æãç«ãŠã°ãã®ã€ãã¹ã®ã¯çã¿ã€ããªããããããããããšããããšãæãç«ã€ãšããããšã¯ãªã | ¬(¬{A}{aa} -> (¬{AA}{aa} & {AB}{aa})) | fact1: ãããã®ã³ã³ãã¥ãŒã¿ãŒãçã¿ã€ããªããªãã°ããã¯äžå®®ããããã¥ããšããããšããªãããããçé»ã fact2: ãããã®èèã¯ããããšããããšããªããªãã°ãããã¯ç²ã匷ããªããããã¯é³Žæ»å®äºæ®¿ã«æã蟌ãããšããããšã¯çå®ã fact3: ãããããã®ã€ãã¹ã®ã¯çã¿ã€ããªãããšããããšã¯äºå®ãªãã°ãã®ã€ãã¹ã®ããããããŠãªããŠé«ããããšããããšã¯æãç«ã€ fact4: æµ
ãŸãããšããããšã¯ãªããã®ãåãªããšããããšããªããããããªããã fact5: ããŸããšããããšããªããã®ã¯æçµå±±ã§ãªããé«æšœå±±ããã¡ããã fact6: ããäœãã¯èæšå±±ã«ã€ã€ã¿ããããšããããšã¯ãªããªãã°ããã¯å¿ç¡ããªããåå£å²ãã fact7: ãããããã®ããŒããããããšããããšããªãããšããããšãæãç«ãŠã°ãã®ããŒããéšã
ãããšããããšããªããã®ã§ãã£ãŠçã
ãããã®ããšããããšãäºå®ã fact8: ãããã®ã€ãã¹ã®ããã©ãºãã§ãªããªãã°ãããããã fact9: ãããã®æ¥è¡ã¯ä¹
ãããšããããšããªããªãã°ããã¯æ±æ¥æåæã ãšããããšããªããŠããããã¥ãŒã fact10: ãã©ãºããçã¿ã€ããªããŠããã fact11: ããäœãã仲埡éã«åãããªããªãã°ããã¯å°è¥¿è°·ã ãšããããšããªããæ²ãã fact12: ãããã®ã€ãã¹ã®ã¯ãã©ãºããªãã°ãããçã¿ã€ãããšããããšã¯ãªããããã fact13: ãããããã®ããã©ãºãã§ãªããªãã°ããã¯ããã fact14: ãããããã®ã¯æçµå±±ã§ãªããªãã°ããã倧谷å·ãèãæãŠãªããŠãããå€±æ°Žå³ ããšããŸãã fact15: ããäœãã¯ãã©ãºãã ãšããããšããªããªãã°ãããçã¿ã€ãããããã fact16: ãããããã®ã¯ãã©ãºãã ãšããããšã¯ãªããªãã°ãããçã¿ã€ããªããããã¯ããã fact17: ãããããã®ããã³ãã€ããžãã«ãããããããšããããšããªããªãã°ãããçµåº§ã±æ£®ã«ããã¹ãªããããã¯åŸ©å€ã fact18: ãããã®ã€ãã¹ã®ããã©ãºãã§ãªããªãã°ãããçã¿ã€ãããããã¯ããã | fact1: ¬{AA}{in} -> (¬{IM}{in} & {FA}{in}) fact2: ¬{AB}{fd} -> (¬{JC}{fd} & {EL}{fd}) fact3: ¬{AA}{aa} -> (¬{GB}{aa} & {GL}{aa}) fact4: (x): ¬{GT}x -> (¬{HT}x & {IF}x) fact5: (x): ¬{BF}x -> (¬{CD}x & {JE}x) fact6: (x): ¬{BG}x -> (¬{CF}x & {FE}x) fact7: ¬{AB}{bf} -> (¬{BR}{bf} & {AJ}{bf}) fact8: ¬{A}{aa} -> {AB}{aa} fact9: ¬{BD}{af} -> (¬{AT}{af} & {CT}{af}) fact10: (x): {A}x -> (¬{AA}x & {AB}x) fact11: (x): ¬{BL}x -> (¬{DA}x & {AE}x) fact12: {A}{aa} -> (¬{AA}{aa} & {AB}{aa}) fact13: (x): ¬{A}x -> {AB}x fact14: (x): ¬{CD}x -> (¬{AO}x & {GC}x) fact15: (x): ¬{A}x -> ({AA}x & {AB}x) fact16: (x): ¬{A}x -> (¬{AA}x & {AB}x) fact17: (x): ¬{II}x -> (¬{EG}x & {FL}x) fact18: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}) | [
"fact16 -> hypothesis;"
] | [
"fact16 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 17 | 0 | 17 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãããã®ã³ã³ãã¥ãŒã¿ãŒãçã¿ã€ããªããªãã°ããã¯äžå®®ããããã¥ããšããããšããªãããããçé»ã fact2: ãããã®èèã¯ããããšããããšããªããªãã°ãããã¯ç²ã匷ããªããããã¯é³Žæ»å®äºæ®¿ã«æã蟌ãããšããããšã¯çå®ã fact3: ãããããã®ã€ãã¹ã®ã¯çã¿ã€ããªãããšããããšã¯äºå®ãªãã°ãã®ã€ãã¹ã®ããããããŠãªããŠé«ããããšããããšã¯æãç«ã€ fact4: æµ
ãŸãããšããããšã¯ãªããã®ãåãªããšããããšããªããããããªããã fact5: ããŸããšããããšããªããã®ã¯æçµå±±ã§ãªããé«æšœå±±ããã¡ããã fact6: ããäœãã¯èæšå±±ã«ã€ã€ã¿ããããšããããšã¯ãªããªãã°ããã¯å¿ç¡ããªããåå£å²ãã fact7: ãããããã®ããŒããããããšããããšããªãããšããããšãæãç«ãŠã°ãã®ããŒããéšã
ãããšããããšããªããã®ã§ãã£ãŠçã
ãããã®ããšããããšãäºå®ã fact8: ãããã®ã€ãã¹ã®ããã©ãºãã§ãªããªãã°ãããããã fact9: ãããã®æ¥è¡ã¯ä¹
ãããšããããšããªããªãã°ããã¯æ±æ¥æåæã ãšããããšããªããŠããããã¥ãŒã fact10: ãã©ãºããçã¿ã€ããªããŠããã fact11: ããäœãã仲埡éã«åãããªããªãã°ããã¯å°è¥¿è°·ã ãšããããšããªããæ²ãã fact12: ãããã®ã€ãã¹ã®ã¯ãã©ãºããªãã°ãããçã¿ã€ãããšããããšã¯ãªããããã fact13: ãããããã®ããã©ãºãã§ãªããªãã°ããã¯ããã fact14: ãããããã®ã¯æçµå±±ã§ãªããªãã°ããã倧谷å·ãèãæãŠãªããŠãããå€±æ°Žå³ ããšããŸãã fact15: ããäœãã¯ãã©ãºãã ãšããããšããªããªãã°ãããçã¿ã€ãããããã fact16: ãããããã®ã¯ãã©ãºãã ãšããããšã¯ãªããªãã°ãããçã¿ã€ããªããããã¯ããã fact17: ãããããã®ããã³ãã€ããžãã«ãããããããšããããšããªããªãã°ãããçµåº§ã±æ£®ã«ããã¹ãªããããã¯åŸ©å€ã fact18: ãããã®ã€ãã¹ã®ããã©ãºãã§ãªããªãã°ãããçã¿ã€ãããããã¯ããã ; $hypothesis$ = ãããããã®ã€ãã¹ã®ããã©ãºãã ãšããããšã¯ãªãããšããããšã¯æãç«ãŠã°ãã®ã€ãã¹ã®ã¯çã¿ã€ããªããããããããããšããããšãæãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact16 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{AA}{in} -> (¬{IM}{in} & {FA}{in}) fact2: ¬{AB}{fd} -> (¬{JC}{fd} & {EL}{fd}) fact3: ¬{AA}{aa} -> (¬{GB}{aa} & {GL}{aa}) fact4: (x): ¬{GT}x -> (¬{HT}x & {IF}x) fact5: (x): ¬{BF}x -> (¬{CD}x & {JE}x) fact6: (x): ¬{BG}x -> (¬{CF}x & {FE}x) fact7: ¬{AB}{bf} -> (¬{BR}{bf} & {AJ}{bf}) fact8: ¬{A}{aa} -> {AB}{aa} fact9: ¬{BD}{af} -> (¬{AT}{af} & {CT}{af}) fact10: (x): {A}x -> (¬{AA}x & {AB}x) fact11: (x): ¬{BL}x -> (¬{DA}x & {AE}x) fact12: {A}{aa} -> (¬{AA}{aa} & {AB}{aa}) fact13: (x): ¬{A}x -> {AB}x fact14: (x): ¬{CD}x -> (¬{AO}x & {GC}x) fact15: (x): ¬{A}x -> ({AA}x & {AB}x) fact16: (x): ¬{A}x -> (¬{AA}x & {AB}x) fact17: (x): ¬{II}x -> (¬{EG}x & {FL}x) fact18: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}) ; $hypothesis$ = ¬(¬{A}{aa} -> (¬{AA}{aa} & {AB}{aa})) ; $proof$ = | fact16 -> hypothesis; __DISPROVED__ |
0.3 | ãããäžæ¡æ°ç°ãããããããšããããšã¯ãªããåç©ã§ãªãããããã¯äž¡æ¹ãªãã°ãæ°é§
ã§ãªãããšããããšã¯æãç«ã€ããã®ã¯ãã | (Ex): (¬{AA}x v ¬{AB}x) -> ¬{B}x | fact1: ãããäžæ¡æ°ç°ãããããããšããããšã¯ãªããåç©ãªãã°æ°é§
ã ãšããããšã¯ãªãããã®ããã fact2: ãããããã®ãæãŸãããªããããã倧å®
å±±ç°ã«éãããšããããšããªããªãã°ããããããŸãããšããããšã¯ãªã fact3: ãããã®åç¿
ã倪ããšããããšããªãããããæ°é§
ã§ããããããã¯äž¡æ¹ãªãã°ãããéŽè°·ããªãã¹ããŠãªã fact4: ãããèµ€èœæãçŒãæšãŠãªããªãã°ãªãŸãªãŸãããªãããã®ã¯ãã fact5: ããããµã³ã±ã€ãªãã³ã°æ°è瀟ã«ãã£ã€ãããšããããšã¯ãªããªãã°ãæšç¯ã§ãªãããšããããšãæ£ããããã®ããã fact6: ãããæ±æ²éšã§ããããããã¯ãŸãããªããäž¡æ¹ãªãã°å·ãæ°Žããããããšããããšã¯ãªãããã®ã¯ãã fact7: ãããã®åç¿
ãäžæ¡æ°ç°ããããããªãããããåç©ã ãšããããšããªãããããã¯äž¡æ¹ãªãã°ãããã¯æ°é§
ã ããšããããšã¯æ£ãã fact8: ãããè§çªå±±ã ãšããããšã¯ãªãããããã¯è
°éªšã«ããããã°è²·ãããããšããããšããªãããã®ã¯ãã fact9: ãããå°èŠèå±ã ãšããããšããªããå
æ²¢ã§ãªãããããã¯äž¡æ¹ãªãã°æšè¶ã«æãããŸãããã®ããã fact10: ãããäžæ¡æ°ç°ãããããããšããããšã¯ãªããªãã°ãæ°é§
ã ãšããããšã¯ãªãããšããããšã¯äºå®ãªããã®ããã fact11: ãããã¿ãããæ±ãããšããããšããªããªãã°ãµã³ã±ã€ãªãã³ã°æ°è瀟ã«ãã£ã€ãããšããããšããªãããã®ã¯ãã fact12: ããããã®åç¿
ããªãŸãªãŸãããªãããããã¯ãããäžæ¡æ°ç°ãããããããšããããšããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ãŠã°ãããã¿ãã¶ã fact13: ããã倪éæ±ã«ãã¹ããããšããããšããªããªãã°ãæ毬ãåŒã£æãããšããããšããªãããšããããšã¯æ£ããããã®ã¯ãã | fact1: (Ex): (¬{AA}x v {AB}x) -> ¬{B}x fact2: (x): (¬{DA}x v ¬{IL}x) -> ¬{BN}x fact3: (¬{FU}{aa} v {B}{aa}) -> ¬{IU}{aa} fact4: (Ex): ¬{HU}x -> ¬{HS}x fact5: (Ex): ¬{CP}x -> ¬{AS}x fact6: (Ex): ({GK}x v ¬{K}x) -> ¬{AK}x fact7: (¬{AA}{aa} v ¬{AB}{aa}) -> {B}{aa} fact8: (Ex): (¬{A}x v {IT}x) -> ¬{FQ}x fact9: (Ex): (¬{BO}x v ¬{DF}x) -> {CE}x fact10: (Ex): ¬{AA}x -> ¬{B}x fact11: (Ex): ¬{H}x -> ¬{CP}x fact12: (¬{HS}{aa} v ¬{AA}{aa}) -> {CG}{aa} fact13: (Ex): ¬{JB}x -> ¬{AM}x | [] | [] | ãããæãŸãããšããããšã¯ãªãããããã¯å€§å®
å±±ç°ã«éããªãããããã¯äž¡æ¹ãªãã°ãããŸãããšããããšã¯ãªãããã®ããã | (Ex): (¬{DA}x v ¬{IL}x) -> ¬{BN}x | [
"fact14 -> int1: ãããã®å
šç²ç²ãæãŸãããªãããããã¯ããã¯å€§å®
å±±ç°ã«éãããšããããšããªããäž¡æ¹ãªãã°ããããããŸãããªã; int1 -> hypothesis;"
] | 2 | 1 | null | 13 | 0 | 13 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãããäžæ¡æ°ç°ãããããããšããããšã¯ãªããåç©ãªãã°æ°é§
ã ãšããããšã¯ãªãããã®ããã fact2: ãããããã®ãæãŸãããªããããã倧å®
å±±ç°ã«éãããšããããšããªããªãã°ããããããŸãããšããããšã¯ãªã fact3: ãããã®åç¿
ã倪ããšããããšããªãããããæ°é§
ã§ããããããã¯äž¡æ¹ãªãã°ãããéŽè°·ããªãã¹ããŠãªã fact4: ãããèµ€èœæãçŒãæšãŠãªããªãã°ãªãŸãªãŸãããªãããã®ã¯ãã fact5: ããããµã³ã±ã€ãªãã³ã°æ°è瀟ã«ãã£ã€ãããšããããšã¯ãªããªãã°ãæšç¯ã§ãªãããšããããšãæ£ããããã®ããã fact6: ãããæ±æ²éšã§ããããããã¯ãŸãããªããäž¡æ¹ãªãã°å·ãæ°Žããããããšããããšã¯ãªãããã®ã¯ãã fact7: ãããã®åç¿
ãäžæ¡æ°ç°ããããããªãããããåç©ã ãšããããšããªãããããã¯äž¡æ¹ãªãã°ãããã¯æ°é§
ã ããšããããšã¯æ£ãã fact8: ãããè§çªå±±ã ãšããããšã¯ãªãããããã¯è
°éªšã«ããããã°è²·ãããããšããããšããªãããã®ã¯ãã fact9: ãããå°èŠèå±ã ãšããããšããªããå
æ²¢ã§ãªãããããã¯äž¡æ¹ãªãã°æšè¶ã«æãããŸãããã®ããã fact10: ãããäžæ¡æ°ç°ãããããããšããããšã¯ãªããªãã°ãæ°é§
ã ãšããããšã¯ãªãããšããããšã¯äºå®ãªããã®ããã fact11: ãããã¿ãããæ±ãããšããããšããªããªãã°ãµã³ã±ã€ãªãã³ã°æ°è瀟ã«ãã£ã€ãããšããããšããªãããã®ã¯ãã fact12: ããããã®åç¿
ããªãŸãªãŸãããªãããããã¯ãããäžæ¡æ°ç°ãããããããšããããšããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ãŠã°ãããã¿ãã¶ã fact13: ããã倪éæ±ã«ãã¹ããããšããããšããªããªãã°ãæ毬ãåŒã£æãããšããããšããªãããšããããšã¯æ£ããããã®ã¯ãã ; $hypothesis$ = ãããäžæ¡æ°ç°ãããããããšããããšã¯ãªããåç©ã§ãªãããããã¯äž¡æ¹ãªãã°ãæ°é§
ã§ãªãããšããããšã¯æãç«ã€ããã®ã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): (¬{AA}x v {AB}x) -> ¬{B}x fact2: (x): (¬{DA}x v ¬{IL}x) -> ¬{BN}x fact3: (¬{FU}{aa} v {B}{aa}) -> ¬{IU}{aa} fact4: (Ex): ¬{HU}x -> ¬{HS}x fact5: (Ex): ¬{CP}x -> ¬{AS}x fact6: (Ex): ({GK}x v ¬{K}x) -> ¬{AK}x fact7: (¬{AA}{aa} v ¬{AB}{aa}) -> {B}{aa} fact8: (Ex): (¬{A}x v {IT}x) -> ¬{FQ}x fact9: (Ex): (¬{BO}x v ¬{DF}x) -> {CE}x fact10: (Ex): ¬{AA}x -> ¬{B}x fact11: (Ex): ¬{H}x -> ¬{CP}x fact12: (¬{HS}{aa} v ¬{AA}{aa}) -> {CG}{aa} fact13: (Ex): ¬{JB}x -> ¬{AM}x ; $hypothesis$ = (Ex): (¬{AA}x v ¬{AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ä¿äººã¯å¿æããã®ã§ãã£ãŠæ©è»žãæ·ãããã®ããšããããšãæãç«ã€ãšããããšããªã | ¬({AA}{aa} & {AB}{aa}) | fact1: ããã®ä¿äººãé³éã§ãã£ãŠå»»ãããã®ããšããããšã¯äºå®ã§ãªã | fact1: ¬({DD}{aa} & {IQ}{aa}) | [] | [] | null | null | [] | null | 1 | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ä¿äººãé³éã§ãã£ãŠå»»ãããã®ããšããããšã¯äºå®ã§ãªã ; $hypothesis$ = ããã®ä¿äººã¯å¿æããã®ã§ãã£ãŠæ©è»žãæ·ãããã®ããšããããšãæãç«ã€ãšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬({DD}{aa} & {IQ}{aa}) ; $hypothesis$ = ¬({AA}{aa} & {AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¹ãºãã¯ã°ãèããšããããšã¯ãªãããšããããšã¯ééãã ãšããããšããªã | ¬{A}{a} | fact1: ããããã ããšã«ã ããªãããããããšããããšã¯ééããªããã®ã¯ããã°ãã®äº¡ã骞ãå祥é¢ç³å京éãã€ããªã fact2: ãããã®èã¯ããªããããããã倧人ãããªãã°ãã®ã¹ãºããããªããããšããããšããªã fact3: ãããã®ã³ã¹ã¢ã¯ã ããšã«ãªãã°ãããã¯å€§äººãããšããããšããªããããããã©ãã¢ã«è¥²ããããããšããããšãæãç«ããªã fact4: ããã ããšã«ã§ãã£ãŠãªããããããã®ããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ããã fact5: ãããäœãã¯å€§äººãããããã¯å祥寺åã ããšããããšã¯äºå®ãšç°ãªãã°ããã¯å€§äººãããªã fact6: ãã®æåç·ã¯éŠ¬éãããã°ããªããŠããã¯ã°ãèããšããããšã¯ãªã fact7: ããäœãã¯è³ã
ãããšããããšã¯ãªããªãã°ãããã倧人ãããããã¯å祥寺åã ããšããããšãåœã fact8: ãããã®ã¹ãºãã¯ããªããããšããããšããªããã®ã§ãã£ãŠã°ãèããšããããšã¯ãªããã®ãªãã°ãã®äº¡ã骞ã¯æ²åŒŸãã ãšããããšããªã fact9: ãã®ã¹ãºããäºæŸåŠè倧ã ãšããããšã¯ãªããŠãã©ããããšããããšããªã fact10: ããªããããšããããšã¯ãªããã®ãã°ãèããŠæ²åŒŸãã fact11: ããããã®èãå
è§æ²¹å°è·¯ã«ããã®ãããªããããããããæ«ç°å·ã ããšããããšãééããªãã°ãããå
è§æ²¹å°è·¯ã«ããã®ãã fact12: ãã®å
人ãæ²åŒŸãã ãšããããšããªã fact13: 倧人ãããªããã®ãããªããããªããŠã°ãèããªã fact14: ãã®éµé³¥ãå祥寺åã§ããããããã¯ããã¯ãªãããããããããã¯äž¡æ¹ã fact15: ãããã®èã¯å
è§æ²¹å°è·¯ã«ããã®ããã°ãããã¯è³ã
ãããŠãã©ãã¢ã«è¥²ãããããªãããšããããšã¯æãç«ããªã fact16: ãããã®éµé³¥ã¯å祥寺åãªãã°ãã®èã¯è³ã
ãã fact17: ããããã®éµé³¥ããªãããããããšããããšãæãç«ãŠã°ãã®èã¯è³ã
ãã | fact1: (x): ¬({H}x & {G}x) -> ¬{HG}{cq} fact2: ({C}{b} & {D}{b}) -> ¬{C}{a} fact3: {H}{d} -> ¬(¬{D}{d} & {I}{d}) fact4: (Ex): ¬({H}x & {G}x) fact5: (x): ¬({D}x & {F}x) -> ¬{D}x fact6: (¬{HM}{ip} & ¬{A}{ip}) fact7: (x): ¬{E}x -> ¬({D}x & {F}x) fact8: (¬{C}{a} & ¬{A}{a}) -> ¬{B}{cq} fact9: (¬{EI}{a} & ¬{CC}{a}) fact10: (x): ¬{C}x -> ({A}x & {B}x) fact11: ¬(¬{J}{b} & {K}{b}) -> {J}{b} fact12: ¬{B}{ai} fact13: (x): ¬{D}x -> (¬{C}x & ¬{A}x) fact14: ({F}{c} v {G}{c}) fact15: {J}{b} -> ¬({E}{b} & ¬{I}{b}) fact16: {F}{c} -> {E}{b} fact17: {G}{c} -> {E}{b} | [] | [] | ããã®ã¹ãºãã¯ã°ãèãããšããããšã¯æãç«ã€ | {A}{a} | [
"fact19 -> int1: ããããã®ã¹ãºããããªããããªããªãã°ãã®ã¹ãºããã°ãèããããã¯æ²åŒŸãã ããšããããšãæãç«ã€; fact22 & fact18 & fact20 -> int2: ãã®èã¯è³ã
ãã;"
] | 7 | 1 | null | 17 | 0 | 17 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã ããšã«ã ããªãããããããšããããšã¯ééããªããã®ã¯ããã°ãã®äº¡ã骞ãå祥é¢ç³å京éãã€ããªã fact2: ãããã®èã¯ããªããããããã倧人ãããªãã°ãã®ã¹ãºããããªããããšããããšããªã fact3: ãããã®ã³ã¹ã¢ã¯ã ããšã«ãªãã°ãããã¯å€§äººãããšããããšããªããããããã©ãã¢ã«è¥²ããããããšããããšãæãç«ããªã fact4: ããã ããšã«ã§ãã£ãŠãªããããããã®ããšããããšãæãç«ã€ãšããããšã¯ãªãããã®ããã fact5: ãããäœãã¯å€§äººãããããã¯å祥寺åã ããšããããšã¯äºå®ãšç°ãªãã°ããã¯å€§äººãããªã fact6: ãã®æåç·ã¯éŠ¬éãããã°ããªããŠããã¯ã°ãèããšããããšã¯ãªã fact7: ããäœãã¯è³ã
ãããšããããšã¯ãªããªãã°ãããã倧人ãããããã¯å祥寺åã ããšããããšãåœã fact8: ãããã®ã¹ãºãã¯ããªããããšããããšããªããã®ã§ãã£ãŠã°ãèããšããããšã¯ãªããã®ãªãã°ãã®äº¡ã骞ã¯æ²åŒŸãã ãšããããšããªã fact9: ãã®ã¹ãºããäºæŸåŠè倧ã ãšããããšã¯ãªããŠãã©ããããšããããšããªã fact10: ããªããããšããããšã¯ãªããã®ãã°ãèããŠæ²åŒŸãã fact11: ããããã®èãå
è§æ²¹å°è·¯ã«ããã®ãããªããããããããæ«ç°å·ã ããšããããšãééããªãã°ãããå
è§æ²¹å°è·¯ã«ããã®ãã fact12: ãã®å
人ãæ²åŒŸãã ãšããããšããªã fact13: 倧人ãããªããã®ãããªããããªããŠã°ãèããªã fact14: ãã®éµé³¥ãå祥寺åã§ããããããã¯ããã¯ãªãããããããããã¯äž¡æ¹ã fact15: ãããã®èã¯å
è§æ²¹å°è·¯ã«ããã®ããã°ãããã¯è³ã
ãããŠãã©ãã¢ã«è¥²ãããããªãããšããããšã¯æãç«ããªã fact16: ãããã®éµé³¥ã¯å祥寺åãªãã°ãã®èã¯è³ã
ãã fact17: ããããã®éµé³¥ããªãããããããšããããšãæãç«ãŠã°ãã®èã¯è³ã
ãã ; $hypothesis$ = ããã®ã¹ãºãã¯ã°ãèããšããããšã¯ãªãããšããããšã¯ééãã ãšããããšããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬({H}x & {G}x) -> ¬{HG}{cq} fact2: ({C}{b} & {D}{b}) -> ¬{C}{a} fact3: {H}{d} -> ¬(¬{D}{d} & {I}{d}) fact4: (Ex): ¬({H}x & {G}x) fact5: (x): ¬({D}x & {F}x) -> ¬{D}x fact6: (¬{HM}{ip} & ¬{A}{ip}) fact7: (x): ¬{E}x -> ¬({D}x & {F}x) fact8: (¬{C}{a} & ¬{A}{a}) -> ¬{B}{cq} fact9: (¬{EI}{a} & ¬{CC}{a}) fact10: (x): ¬{C}x -> ({A}x & {B}x) fact11: ¬(¬{J}{b} & {K}{b}) -> {J}{b} fact12: ¬{B}{ai} fact13: (x): ¬{D}x -> (¬{C}x & ¬{A}x) fact14: ({F}{c} v {G}{c}) fact15: {J}{b} -> ¬({E}{b} & ¬{I}{b}) fact16: {F}{c} -> {E}{b} fact17: {G}{c} -> {E}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |