version
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stringlengths 8
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stringclasses 489
values | facts
stringlengths 18
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stringlengths 10
318
| proofs
sequencelengths 0
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sequencelengths 0
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stringlengths 8
91
â | negative_hypothesis_formula
stringlengths 3
36
â | negative_proofs
sequencelengths 0
1
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int64 0
11
â | original_tree_steps
int64 1
3
| original_tree_depth
int64 1
3
| steps
int64 1
3
â | depth
int64 1
3
â | num_formula_distractors
int64 0
5
| num_translation_distractors
int64 0
0
| num_all_distractors
int64 0
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stringclasses 3
values | negative_proof_label
stringclasses 2
values | world_assump_label
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stringclasses 2
values | prompt_serial
stringlengths 75
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stringlengths 11
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stringlengths 61
365
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stringlengths 11
147
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãä»®ã«æŽããªãããŸãã¯çè«åãããšããããšã¯ãªãããããã¯ã©ã¡ããã§ãããšãããšè³æãé£ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{AA}x v ¬{AB}x) -> ¬{B}x | fact1: ãè¬èããšããããšã¯ãªãããããã¯ç«ã¡å¡ãããªããäž¡æ¹ãšãã ãšããã°å¡©èŸããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãã®ããªããLv.91ãæŽããªãããããã¯ããã¯çè«åãããšããããšã¯ãªããäž¡æ¹ã§ãããªãã°è³æãé£ããªã fact3: ãããä»®ã«æŽããªãããŸãã¯çè«åããªãããããã¯äž¡æ¹ã§ãããªãã°è³æãé£ããã¢ã³ã¹ã¿ãŒã¯ãã fact4: æåããšããããšã¯ãªãããŸãã¯ç²æç²æãããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åªãããªã fact5: ä»®ã«ãã®ããªããLv.91ãçè«åããªããšããã°ãã®ããªããLv.91ã¯è³æãé£ããªã | fact1: (Ex): (¬{R}x v ¬{IR}x) -> {HB}x fact2: (¬{AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} fact3: (Ex): (¬{AA}x v ¬{AB}x) -> {B}x fact4: (x): (¬{AI}x v ¬{HM}x) -> ¬{DO}x fact5: ¬{AB}{aa} -> ¬{B}{aa} | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ãããæåããšããããšã¯ãªãããŸãã¯ç²æç²æãããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã ãšãããåªãããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{AI}x v ¬{HM}x) -> ¬{DO}x | [
"fact6 -> int1: ããä»®ã«ãã®ãŸããŸãLv.26ãæåããªãããŸãã¯ç²æç²æãããšããããšã¯ãªãããããã¯äž¡æ¹ãªããåªãããªãããšããããšã¯ééãã§ãããšããããšã¯ãªã; int1 -> hypothesis;"
] | 2 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãè¬èããšããããšã¯ãªãããããã¯ç«ã¡å¡ãããªããäž¡æ¹ãšãã ãšããã°å¡©èŸããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãã®ããªããLv.91ãæŽããªãããããã¯ããã¯çè«åãããšããããšã¯ãªããäž¡æ¹ã§ãããªãã°è³æãé£ããªã fact3: ãããä»®ã«æŽããªãããŸãã¯çè«åããªãããããã¯äž¡æ¹ã§ãããªãã°è³æãé£ããã¢ã³ã¹ã¿ãŒã¯ãã fact4: æåããšããããšã¯ãªãããŸãã¯ç²æç²æãããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯åªãããªã fact5: ä»®ã«ãã®ããªããLv.91ãçè«åããªããšããã°ãã®ããªããLv.91ã¯è³æãé£ããªã ; $hypothesis$ = ãä»®ã«æŽããªãããŸãã¯çè«åãããšããããšã¯ãªãããããã¯ã©ã¡ããã§ãããšãããšè³æãé£ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): (¬{R}x v ¬{IR}x) -> {HB}x fact2: (¬{AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} fact3: (Ex): (¬{AA}x v ¬{AB}x) -> {B}x fact4: (x): (¬{AI}x v ¬{HM}x) -> ¬{DO}x fact5: ¬{AB}{aa} -> ¬{B}{aa} ; $hypothesis$ = (Ex): (¬{AA}x v ¬{AB}x) -> ¬{B}x ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããLv.61ã¯ç解ãé£ã | {D}{b} | fact1: ãã®ãŸã¡ããŸã«ã
Lv.12ãåãã£ãœããšããããã®ããããLv.61ã¯ç·ã£ãœã fact2: ããä»®ã«ãã®ããããLv.61ã幌ããšãããšããã¯æ¡ãæã fact3: ããä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.12ãæ¡ãæããšããã°ããã¯åãã£ãœã fact4: ä»®ã«ãã®ããããLv.61ãç·ã£ãœããªãã°ãã®ããããLv.61ã¯æ¡ãæã fact5: ãããã®ããããLv.61ã¯æ¡ãæããªãã°ããã®ããããLv.61ã¯ç解ãé£ãããšããããšã¯æãç«ã€ fact6: ãã®ãŸã¡ããŸã«ã
Lv.12ã¯åãã£ãœã | fact1: {A}{a} -> {B}{b} fact2: {GF}{b} -> {C}{b} fact3: {C}{a} -> {A}{a} fact4: {B}{b} -> {C}{b} fact5: {C}{b} -> {D}{b} fact6: {A}{a} | [
"fact1 & fact6 -> int1: ãã®ããããLv.61ã¯ç·ã£ãœã; int1 & fact4 -> int2: ãã®ããããLv.61ã¯æ¡ãæã; int2 & fact5 -> hypothesis;"
] | [
"fact1 & fact6 -> int1: {B}{b}; int1 & fact4 -> int2: {C}{b}; int2 & fact5 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸã¡ããŸã«ã
Lv.12ãåãã£ãœããšããããã®ããããLv.61ã¯ç·ã£ãœã fact2: ããä»®ã«ãã®ããããLv.61ã幌ããšãããšããã¯æ¡ãæã fact3: ããä»®ã«ãã®ãŸã¡ããŸã«ã
Lv.12ãæ¡ãæããšããã°ããã¯åãã£ãœã fact4: ä»®ã«ãã®ããããLv.61ãç·ã£ãœããªãã°ãã®ããããLv.61ã¯æ¡ãæã fact5: ãããã®ããããLv.61ã¯æ¡ãæããªãã°ããã®ããããLv.61ã¯ç解ãé£ãããšããããšã¯æãç«ã€ fact6: ãã®ãŸã¡ããŸã«ã
Lv.12ã¯åãã£ãœã ; $hypothesis$ = ãã®ããããLv.61ã¯ç解ãé£ã ; $proof$ = | fact1 & fact6 -> int1: ãã®ããããLv.61ã¯ç·ã£ãœã; int1 & fact4 -> int2: ãã®ããããLv.61ã¯æ¡ãæã; int2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {GF}{b} -> {C}{b} fact3: {C}{a} -> {A}{a} fact4: {B}{b} -> {C}{b} fact5: {C}{b} -> {D}{b} fact6: {A}{a} ; $hypothesis$ = {D}{b} ; $proof$ = | fact1 & fact6 -> int1: {B}{b}; int1 & fact4 -> int2: {C}{b}; int2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãããããé Œããããªããšãããåœããé£ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯èª€ã£ãŠãã | ¬((Ex): ¬{B}x -> ¬{C}x) | fact1: é Œããããªãã¢ã³ã¹ã¿ãŒã¯åœããé£ããªã fact2: ãããŒãããšãããçšé ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãæ°ãããªãããã¯ã¯ãã¹ãããšããããšã¯ãªã fact4: ãããŒããªãã¢ã³ã¹ã¿ãŒã¯çšãæã fact5: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãå¿å®ããªããšããã°å€ªãé£ã | fact1: (x): ¬{B}x -> ¬{C}x fact2: (Ex): {AP}x -> ¬{IB}x fact3: (x): {BC}x -> ¬{GM}x fact4: (x): ¬{GS}x -> {CP}x fact5: (x): ¬{ER}x -> {T}x | [
"fact1 -> int1: ããä»®ã«ãã®ãŽã«ã
ãŽãLv.4ãé Œããããªããªãã°ããã¯åœããé£ããªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: ¬{B}{aa} -> ¬{C}{aa}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: é Œããããªãã¢ã³ã¹ã¿ãŒã¯åœããé£ããªã fact2: ãããŒãããšãããçšé ããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãæ°ãããªãããã¯ã¯ãã¹ãããšããããšã¯ãªã fact4: ãããŒããªãã¢ã³ã¹ã¿ãŒã¯çšãæã fact5: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãå¿å®ããªããšããã°å€ªãé£ã ; $hypothesis$ = ãããããé Œããããªããšãããåœããé£ããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | fact1 -> int1: ããä»®ã«ãã®ãŽã«ã
ãŽãLv.4ãé Œããããªããªãã°ããã¯åœããé£ããªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{B}x -> ¬{C}x fact2: (Ex): {AP}x -> ¬{IB}x fact3: (x): {BC}x -> ¬{GM}x fact4: (x): ¬{GS}x -> {CP}x fact5: (x): ¬{ER}x -> {T}x ; $hypothesis$ = ¬((Ex): ¬{B}x -> ¬{C}x) ; $proof$ = | fact1 -> int1: ¬{B}{aa} -> ¬{C}{aa}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ããã©ããšããããšã¯çããªã | ¬{D} | fact1: ãããããŸããŸã«ã
Lv.33äºä»¶ã¯èµ·ããªãããããã¯åžžé£ããããšããããšãçããããšããããšã¯æãç«ããªããšãããèªããããšã¯çããªã fact2: ããä»®ã«é ããããšã¯èµ·ããªããªãããŸããŸã«ã
Lv.33äºä»¶ã¯çããªãããŸãã¯åžžé£ããããšããããšãèµ·ããããšããããšã¯åœã§ãã fact3: ããçèŸããšããããšããã³èªããããšã©ã¡ãããèµ·ãããšãããããã©ããšããããšã¯èµ·ãããªã fact4: çŽæçºããããšãçãããããŸãã«çèŸããšããããšãçºçãã | fact1: ¬(¬{F} v {E}) -> ¬{C} fact2: ¬{G} -> ¬(¬{F} v {E}) fact3: ({B} & {C}) -> ¬{D} fact4: ({A} & {B}) | [
"fact4 -> int1: çèŸããšããããšãçãã;"
] | [
"fact4 -> int1: {B};"
] | ããã©ããšããããšãçºçãã | {D} | [] | 7 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããããŸããŸã«ã
Lv.33äºä»¶ã¯èµ·ããªãããããã¯åžžé£ããããšããããšãçããããšããããšã¯æãç«ããªããšãããèªããããšã¯çããªã fact2: ããä»®ã«é ããããšã¯èµ·ããªããªãããŸããŸã«ã
Lv.33äºä»¶ã¯çããªãããŸãã¯åžžé£ããããšããããšãèµ·ããããšããããšã¯åœã§ãã fact3: ããçèŸããšããããšããã³èªããããšã©ã¡ãããèµ·ãããšãããããã©ããšããããšã¯èµ·ãããªã fact4: çŽæçºããããšãçãããããŸãã«çèŸããšããããšãçºçãã ; $hypothesis$ = ããã©ããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{F} v {E}) -> ¬{C} fact2: ¬{G} -> ¬(¬{F} v {E}) fact3: ({B} & {C}) -> ¬{D} fact4: ({A} & {B}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | çèããšããããšãèµ·ãã | {D} | fact1: ãŸã¡ããŸã¡ãLv.22äºä»¶ãçºçãã fact2: ããŸã®ãŸãLv.4äºä»¶ããã³ãŸã¡ããŸã¡ãLv.22äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯çèããšããããšãçºçãããšããããšãåé¿ãã | fact1: {C} fact2: ({A} & {C}) -> ¬{D} | [] | [] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŸã¡ããŸã¡ãLv.22äºä»¶ãçºçãã fact2: ããŸã®ãŸãLv.4äºä»¶ããã³ãŸã¡ããŸã¡ãLv.22äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯çèããšããããšãçºçãããšããããšãåé¿ãã ; $hypothesis$ = çèããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} fact2: ({A} & {C}) -> ¬{D} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãããã¡ã
Lv.87ã¯èª
ããªã | ¬{A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯èª
ãã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåŒã³åŸãªããšããããããèª
ããããã®äžçãŸãã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãåŒã³åŸããšãããããã¯çãŸãããªããèª
ããªã | fact1: (x): {A}x fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: (x): {C}x -> (¬{B}x & ¬{A}x) | [
"fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯èª
ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãããã¡ã
Lv.87ã¯èª
ããªã | ¬{A}{a} | [
"fact4 -> int2: ããããã®ãããã¡ã
Lv.87ãåŒã³åŸããšãããããã¯çãŸãããªããŠããã«èª
ããªã;"
] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯èª
ãã fact2: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåŒã³åŸãªããšããããããèª
ããããã®äžçãŸãã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãåŒã³åŸããšãããããã¯çãŸãããªããèª
ããªã ; $hypothesis$ = ãã®ãããã¡ã
Lv.87ã¯èª
ããªã ; $proof$ = | fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯èª
ãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: (x): {C}x -> (¬{B}x & ¬{A}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã®ã¿ãLv.74ã¯éŠ¬é¹¿ã§ãã | {D}{b} | fact1: ãã®ãœã¡ã
ãœãLv.15ã¯åããŠãã€ããã¯æ¬åœããã fact2: ä»®ã«ãã®ã¿ã®ã¿ãLv.74ãç解ãæããšããããã®ã¿ã®ã¿ãLv.74ã¯éŠ¬é¹¿ã§ãã fact3: ä»®ã«ãã®ãœã¡ã
ãœãLv.15ãåããªãã°ãã®ã¿ã®ã¿ãLv.74ã¯ç解ãæã | fact1: ({A}{a} & {B}{a}) fact2: {C}{b} -> {D}{b} fact3: {A}{a} -> {C}{b} | [
"fact1 -> int1: ãã®ãœã¡ã
ãœãLv.15ã¯åã; int1 & fact3 -> int2: ãã®ã¿ã®ã¿ãLv.74ã¯ç解ãæã; int2 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœã¡ã
ãœãLv.15ã¯åããŠãã€ããã¯æ¬åœããã fact2: ä»®ã«ãã®ã¿ã®ã¿ãLv.74ãç解ãæããšããããã®ã¿ã®ã¿ãLv.74ã¯éŠ¬é¹¿ã§ãã fact3: ä»®ã«ãã®ãœã¡ã
ãœãLv.15ãåããªãã°ãã®ã¿ã®ã¿ãLv.74ã¯ç解ãæã ; $hypothesis$ = ãã®ã¿ã®ã¿ãLv.74ã¯éŠ¬é¹¿ã§ãã ; $proof$ = | fact1 -> int1: ãã®ãœã¡ã
ãœãLv.15ã¯åã; int1 & fact3 -> int2: ãã®ã¿ã®ã¿ãLv.74ã¯ç解ãæã; int2 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {C}{b} -> {D}{b} fact3: {A}{a} -> {C}{b} ; $hypothesis$ = {D}{b} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact2 -> hypothesis; __PROVED__ |
0.3 | å£ãé£ããšããããšãçºçãã | {D} | fact1: ãŸããŸã®Lv.51äºä»¶ã¯èµ·ãããªããšãããšããããŸãããšããããšã¯çããªããŠæãŠãç¡ããšããããšãèµ·ãã fact2: ããããããŸãããšããããšãèµ·ããããããã¯å°æ±ããšããããšãèµ·ãããšãããšå£ãé£ããšããããšã¯çããªã fact3: æ§ãæããšããããšããã³å°æ±ããšããããšãçºçãã | fact1: ¬{F} -> (¬{C} & {E}) fact2: ({C} v {B}) -> ¬{D} fact3: ({A} & {B}) | [
"fact3 -> int1: å°æ±ããšããããšãçºçãã; int1 -> int2: ããããŸãããšããããšãèµ·ããããŸãã¯å°æ±ããšããããšãèµ·ãã; int2 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact2 -> hypothesis;"
] | å£ãé£ããšããããšãçºçãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãŸããŸã®Lv.51äºä»¶ã¯èµ·ãããªããšãããšããããŸãããšããããšã¯çããªããŠæãŠãç¡ããšããããšãèµ·ãã fact2: ããããããŸãããšããããšãèµ·ããããããã¯å°æ±ããšããããšãèµ·ãããšãããšå£ãé£ããšããããšã¯çããªã fact3: æ§ãæããšããããšããã³å°æ±ããšããããšãçºçãã ; $hypothesis$ = å£ãé£ããšããããšãçºçãã ; $proof$ = | fact3 -> int1: å°æ±ããšããããšãçºçãã; int1 -> int2: ããããŸãããšããããšãèµ·ããããŸãã¯å°æ±ããšããããšãèµ·ãã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{F} -> (¬{C} & {E}) fact2: ({C} v {B}) -> ¬{D} fact3: ({A} & {B}) ; $hypothesis$ = {D} ; $proof$ = | fact3 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã«ãLv.82ã¯ãããªããŠããŸãã«ããã¯æ祚ãã | ({A}{a} & {C}{a}) | fact1: ãã®ãŸããŸã«ãLv.82ã¯æ祚ãã fact2: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯èã£ãããŠäŒžã³åãããšããããšã¯ééã£ãŠãããšãããšå£²ãç¶ãããšããããšã¯ãªã fact3: ãã®ãŸããŸã«ãLv.82ã¯ãããªãããã®äžå£²ãç¶ãã | fact1: {C}{a} fact2: (x): ¬({D}x & {E}x) -> ¬{B}x fact3: ({A}{a} & {B}{a}) | [
"fact3 -> int1: ãã®ãŸããŸã«ãLv.82ã¯ãããªã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ããã®ãŸããŸã«ãLv.82ã¯ãããªããŠæ祚ããããšããããšã¯åœã | ¬({A}{a} & {C}{a}) | [
"fact4 -> int2: ããã®ããããLv.61ã¯èã£ãããŠããŸãã«ããã¯äŒžã³åãããšããããšã¯äºå®ãšç°ãªããšãããšãã®ããããLv.61ã¯å£²ãç¶ãããšããããšã¯ãªã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸã«ãLv.82ã¯æ祚ãã fact2: ããä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯èã£ãããŠäŒžã³åãããšããããšã¯ééã£ãŠãããšãããšå£²ãç¶ãããšããããšã¯ãªã fact3: ãã®ãŸããŸã«ãLv.82ã¯ãããªãããã®äžå£²ãç¶ãã ; $hypothesis$ = ãã®ãŸããŸã«ãLv.82ã¯ãããªããŠããŸãã«ããã¯æ祚ãã ; $proof$ = | fact3 -> int1: ãã®ãŸããŸã«ãLv.82ã¯ãããªã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: (x): ¬({D}x & {E}x) -> ¬{B}x fact3: ({A}{a} & {B}{a}) ; $hypothesis$ = ({A}{a} & {C}{a}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœãªãœã®Lv.25ã¯æ¥ããããããã売ãé£ã | ({B}{a} & {C}{a}) | fact1: ãã®ãœãªãœã®Lv.25ã¯é£ã¹æã fact2: ãã®ãœãªãœã®Lv.25ã¯å£²ãé£ã | fact1: {A}{a} fact2: {C}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãœãªãœã®Lv.25ã¯é£ã¹æã fact2: ãã®ãœãªãœã®Lv.25ã¯å£²ãé£ã ; $hypothesis$ = ãã®ãœãªãœã®Lv.25ã¯æ¥ããããããã売ãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {C}{a} ; $hypothesis$ = ({B}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãå¢ãé£ããšããããšãèµ·ããããããã¯ãŽã¡ããŽãªLv.0äºä»¶ãçããããŸãã¯ã©ã¡ããã§ããããšããããšã¯ééãã | ¬({A} v {C}) | fact1: åãæ±ãæããšããããšã¯èµ·ãããªããããããŽã¡ã
ãŽãLv.45äºä»¶ã¯çºçããªã fact2: åãæ±ãæããšããããšã¯èµ·ãããªã fact3: ããä»®ã«ãåãæ±ãæããšããããšã¯èµ·ããªããŠãŽã¡ã
ãŽãLv.45äºä»¶ã¯çºçããªãããšããããšã¯æ¬åœã§ãããšãããšã·ã¡ã
ã·ã¡ãLv.76äºä»¶ãçºçãã fact4: å
¥ãé£ããšããããšããããã¯åãåŸãããšãçºçãã fact5: ãå¢ãé£ããšããããšã¯çããªãããšããããšã¯ã·ã¡ã
ã·ã¡ãLv.76äºä»¶ãèµ·ãããšããããšã«é»æ¢ããã | fact1: (¬{AA} & ¬{AB}) fact2: ¬{AA} fact3: (¬{AA} & ¬{AB}) -> {B} fact4: ({BF} v {AC}) fact5: {B} -> {A} | [
"fact3 & fact1 -> int1: ã·ã¡ã
ã·ã¡ãLv.76äºä»¶ãèµ·ãã; int1 & fact5 -> int2: å¢ãé£ããšããããšãèµ·ãã; int2 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: {B}; int1 & fact5 -> int2: {A}; int2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: åãæ±ãæããšããããšã¯èµ·ãããªããããããŽã¡ã
ãŽãLv.45äºä»¶ã¯çºçããªã fact2: åãæ±ãæããšããããšã¯èµ·ãããªã fact3: ããä»®ã«ãåãæ±ãæããšããããšã¯èµ·ããªããŠãŽã¡ã
ãŽãLv.45äºä»¶ã¯çºçããªãããšããããšã¯æ¬åœã§ãããšãããšã·ã¡ã
ã·ã¡ãLv.76äºä»¶ãçºçãã fact4: å
¥ãé£ããšããããšããããã¯åãåŸãããšãçºçãã fact5: ãå¢ãé£ããšããããšã¯çããªãããšããããšã¯ã·ã¡ã
ã·ã¡ãLv.76äºä»¶ãèµ·ãããšããããšã«é»æ¢ããã ; $hypothesis$ = ãå¢ãé£ããšããããšãèµ·ããããããã¯ãŽã¡ããŽãªLv.0äºä»¶ãçããããŸãã¯ã©ã¡ããã§ããããšããããšã¯ééãã ; $proof$ = | fact3 & fact1 -> int1: ã·ã¡ã
ã·ã¡ãLv.76äºä»¶ãèµ·ãã; int1 & fact5 -> int2: å¢ãé£ããšããããšãèµ·ãã; int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA} & ¬{AB}) fact2: ¬{AA} fact3: (¬{AA} & ¬{AB}) -> {B} fact4: ({BF} v {AC}) fact5: {B} -> {A} ; $hypothesis$ = ¬({A} v {C}) ; $proof$ = | fact3 & fact1 -> int1: {B}; int1 & fact5 -> int2: {A}; int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ã
ããªLv.32ã¯æãã | {D}{b} | fact1: ãã®ãŽã¡ã
ãŽã«ãLv.21ã¯èãæããŠçã ãã fact2: ããããã®ãŽã¡ã
ãŽã«ãLv.21ãçã ãããªããšããããã®ãŽã¡ã
ãŽã«ãLv.21ã¯çã ããããã«ããã¯èãæã fact3: ãããã®ãã«ã
ããªLv.32ããã£ä»ããªãããã¯æãã fact4: ãããã®ãŽã¡ã
ãŽã«ãLv.21ãçã ãããšãããšãã®ãã«ã
ããªLv.32ã¯ãã£ä»ã fact5: ãã£ä»ãããããç²æç²æãããšããããšã¯ãªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ãã®ãŽã¡ã
ãŽã«ãLv.21ã¯èãæã | fact1: ({A}{a} & {B}{a}) fact2: ¬{B}{a} -> ({GP}{a} & {A}{a}) fact3: {C}{b} -> {D}{b} fact4: {B}{a} -> {C}{b} fact5: (x): ¬({C}x & ¬{E}x) fact6: {A}{a} | [
"fact1 -> int1: ãã®ãŽã¡ã
ãŽã«ãLv.21ã¯çã ãã; int1 & fact4 -> int2: ãã®ãã«ã
ããªLv.32ã¯ãã£ä»ã; int2 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 & fact3 -> hypothesis;"
] | ãã®ãã«ã
ããªLv.32ã¯æãããªã | ¬{D}{b} | [
"fact7 -> int3: ããã®ãŸããŸã®Lv.81ã¯ãã£ä»ããã©ç²æç²æãããªãããšããããšã¯æãç«ããªã;"
] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã¡ã
ãŽã«ãLv.21ã¯èãæããŠçã ãã fact2: ããããã®ãŽã¡ã
ãŽã«ãLv.21ãçã ãããªããšããããã®ãŽã¡ã
ãŽã«ãLv.21ã¯çã ããããã«ããã¯èãæã fact3: ãããã®ãã«ã
ããªLv.32ããã£ä»ããªãããã¯æãã fact4: ãããã®ãŽã¡ã
ãŽã«ãLv.21ãçã ãããšãããšãã®ãã«ã
ããªLv.32ã¯ãã£ä»ã fact5: ãã£ä»ãããããç²æç²æãããšããããšã¯ãªããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ãã®ãŽã¡ã
ãŽã«ãLv.21ã¯èãæã ; $hypothesis$ = ãã®ãã«ã
ããªLv.32ã¯æãã ; $proof$ = | fact1 -> int1: ãã®ãŽã¡ã
ãŽã«ãLv.21ã¯çã ãã; int1 & fact4 -> int2: ãã®ãã«ã
ããªLv.32ã¯ãã£ä»ã; int2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: ¬{B}{a} -> ({GP}{a} & {A}{a}) fact3: {C}{b} -> {D}{b} fact4: {B}{a} -> {C}{b} fact5: (x): ¬({C}x & ¬{E}x) fact6: {A}{a} ; $hypothesis$ = {D}{b} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact4 -> int2: {C}{b}; int2 & fact3 -> hypothesis; __PROVED__ |
0.3 | 宿çŽããããšãèµ·ãã | {D} | fact1: ãŸã«ãŸã«ãLv.78äºä»¶ããã³ãŽãªãŽãLv.76äºä»¶ãèµ·ããã¯å®¿çŽããããšã¯èµ·ããªããšããããšãçºçããã fact2: ãŸããŸã«ãLv.38äºä»¶ãçããããã€ãŸã«ãŸã«ãLv.78äºä»¶ãèµ·ãã fact3: ããããŸã«ãŸã«ãLv.78äºä»¶ã¯çºçããªããªã宿çŽããããšãçããããŸããŸã«ãLv.38äºä»¶ãèµ·ãã fact4: ãŽãªãŽãLv.76äºä»¶ãèµ·ãã fact5: 軜ãŒããšããããšãçãããæŽã«èšæ¶ããããšãçºçãã fact6: ãŸããŸã«ãLv.38äºä»¶ãèµ·ãã | fact1: ({B} & {C}) -> ¬{D} fact2: ({A} & {B}) fact3: ¬{B} -> ({D} & {A}) fact4: {C} fact5: ({JH} & {AJ}) fact6: {A} | [
"fact2 -> int1: ããŸã«ãŸã«ãLv.78äºä»¶ãçºçããããšããããšã¯æ¬åœã§ãã; int1 & fact4 -> int2: ãŸã«ãŸã«ãLv.78äºä»¶ãšãŽãªãŽãLv.76äºä»¶ã©ã¡ãããçãã; int2 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact1 -> hypothesis;"
] | 宿çŽããããšãèµ·ãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãŸã«ãŸã«ãLv.78äºä»¶ããã³ãŽãªãŽãLv.76äºä»¶ãèµ·ããã¯å®¿çŽããããšã¯èµ·ããªããšããããšãçºçããã fact2: ãŸããŸã«ãLv.38äºä»¶ãçããããã€ãŸã«ãŸã«ãLv.78äºä»¶ãèµ·ãã fact3: ããããŸã«ãŸã«ãLv.78äºä»¶ã¯çºçããªããªã宿çŽããããšãçããããŸããŸã«ãLv.38äºä»¶ãèµ·ãã fact4: ãŽãªãŽãLv.76äºä»¶ãèµ·ãã fact5: 軜ãŒããšããããšãçãããæŽã«èšæ¶ããããšãçºçãã fact6: ãŸããŸã«ãLv.38äºä»¶ãèµ·ãã ; $hypothesis$ = 宿çŽããããšãèµ·ãã ; $proof$ = | fact2 -> int1: ããŸã«ãŸã«ãLv.78äºä»¶ãçºçããããšããããšã¯æ¬åœã§ãã; int1 & fact4 -> int2: ãŸã«ãŸã«ãLv.78äºä»¶ãšãŽãªãŽãLv.76äºä»¶ã©ã¡ãããçãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B} & {C}) -> ¬{D} fact2: ({A} & {B}) fact3: ¬{B} -> ({D} & {A}) fact4: {C} fact5: ({JH} & {AJ}) fact6: {A} ; $hypothesis$ = {D} ; $proof$ = | fact2 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | 埡ãã§ãããšããããšã¯èµ·ãããªã | ¬{D} | fact1: ãè
ãæããšããããšããããã¯æ³šææ·±ããšããããšãèµ·ããããšããããšã¯åŸ¡ãã§ãããšããããšã¯èµ·ããªããšããããšããããã fact2: åãããšãèµ·ãã fact3: ãããã·ã¡ãã·ãLv.54äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãããªããœããœãLv.75äºä»¶ã§ã¯ãªããŠæ ¹æ°åŒ·ããšããããšãçºçãã fact4: ããœããœãLv.75äºä»¶ã§ã¯ãªãæ ¹æ°åŒ·ããšããããšãèµ·ããããšããããšã¯ãã«ãããªLv.74äºä»¶ãé²ã fact5: ã泚ææ·±ããšããããšã¯èµ·ãããªãããšããããšã¯åãããšã«é»ãŸãã fact6: ãããããã«ãããªLv.74äºä»¶ã¯èµ·ãããªãããšããããšã¯äºå®ã ãšããã°åŸ¡ãã§ãããšããããšããã³åäºåããããšãèµ·ãã | fact1: ({C} v {B}) -> ¬{D} fact2: {A} fact3: ¬{I} -> (¬{H} & {G}) fact4: (¬{H} & {G}) -> ¬{F} fact5: {A} -> {B} fact6: ¬{F} -> ({D} & {E}) | [
"fact5 & fact2 -> int1: 泚ææ·±ããšããããšãçºçãã; int1 -> int2: è
ãæããšããããšãèµ·ããããããã¯æ³šææ·±ããšããããšãèµ·ãããäž¡æ¹ã§ãã; int2 & fact1 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact1 -> hypothesis;"
] | æ¯ãããããšã¯çºçããªã | ¬{DS} | [] | 8 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãè
ãæããšããããšããããã¯æ³šææ·±ããšããããšãèµ·ããããšããããšã¯åŸ¡ãã§ãããšããããšã¯èµ·ããªããšããããšããããã fact2: åãããšãèµ·ãã fact3: ãããã·ã¡ãã·ãLv.54äºä»¶ã¯çããªãããšããããšã¯äºå®ã§ãããªããœããœãLv.75äºä»¶ã§ã¯ãªããŠæ ¹æ°åŒ·ããšããããšãçºçãã fact4: ããœããœãLv.75äºä»¶ã§ã¯ãªãæ ¹æ°åŒ·ããšããããšãèµ·ããããšããããšã¯ãã«ãããªLv.74äºä»¶ãé²ã fact5: ã泚ææ·±ããšããããšã¯èµ·ãããªãããšããããšã¯åãããšã«é»ãŸãã fact6: ãããããã«ãããªLv.74äºä»¶ã¯èµ·ãããªãããšããããšã¯äºå®ã ãšããã°åŸ¡ãã§ãããšããããšããã³åäºåããããšãèµ·ãã ; $hypothesis$ = 埡ãã§ãããšããããšã¯èµ·ãããªã ; $proof$ = | fact5 & fact2 -> int1: 泚ææ·±ããšããããšãçºçãã; int1 -> int2: è
ãæããšããããšãèµ·ããããããã¯æ³šææ·±ããšããããšãèµ·ãããäž¡æ¹ã§ãã; int2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({C} v {B}) -> ¬{D} fact2: {A} fact3: ¬{I} -> (¬{H} & {G}) fact4: (¬{H} & {G}) -> ¬{F} fact5: {A} -> {B} fact6: ¬{F} -> ({D} & {E}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact5 & fact2 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact1 -> hypothesis; __PROVED__ |
0.3 | æ··å
¥ãæããšããããšã¯çããªã | ¬{D} | fact1: ããŽã¡ããŽãLv.58äºä»¶ã¯çºçããªããååããšããããšãçããããšããããšã¯èª€ãã ãšãããååããšããããšã¯çããªã fact2: ååããšããããšãšæ±ããããšãèµ·ããã¯æ··å
¥ãæããšããããšã¯çããªããšããããšãæã fact3: æ±ããããšãèµ·ããªãã移ãæããšããããšãçºçãããšãããæ±ããããšã¯çããªã fact4: ãååããšããããšã¯èµ·ããªãããšããããšã¯åœŒããããšããããšã«é»æ¢ããã fact5: æ±ããããšãèµ·ãã | fact1: ¬(¬{E} & {B}) -> ¬{B} fact2: ({B} & {C}) -> ¬{D} fact3: (¬{C} v {G}) -> ¬{C} fact4: {A} -> {B} fact5: {C} | [] | [] | æ··å
¥ãæããšããããšãèµ·ãã | {D} | [] | 7 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŽã¡ããŽãLv.58äºä»¶ã¯çºçããªããååããšããããšãçããããšããããšã¯èª€ãã ãšãããååããšããããšã¯çããªã fact2: ååããšããããšãšæ±ããããšãèµ·ããã¯æ··å
¥ãæããšããããšã¯çããªããšããããšãæã fact3: æ±ããããšãèµ·ããªãã移ãæããšããããšãçºçãããšãããæ±ããããšã¯çããªã fact4: ãååããšããããšã¯èµ·ããªãããšããããšã¯åœŒããããšããããšã«é»æ¢ããã fact5: æ±ããããšãèµ·ãã ; $hypothesis$ = æ··å
¥ãæããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{E} & {B}) -> ¬{B} fact2: ({B} & {C}) -> ¬{D} fact3: (¬{C} v {G}) -> ¬{C} fact4: {A} -> {B} fact5: {C} ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãªLv.45ã¯æ°åãããããã«æ³å®ãé£ã | ({B}{c} & {C}{c}) | fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¥è¡ãããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšãããšæ¯èŠªããããšããããšã¯ãªããããŸãã«åºããšããããšã¯ãªã fact2: ãã®ã·ã«ã
ã·ãLv.58ã¯åŸ©æŽ»åºæ¥ãªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.23ãç¥è¡ããªãããããã¯æžå
ããªããäž¡æ¹ã ãšããã°ãã®ã·ã«ã
ã·ãLv.58ã¯ç¥è¡ãããšããããšã¯ãªã fact4: ãã®ãŽããŽãªLv.45ã¯æ³å®ãé£ã fact5: ãããã®ã·ãã·ãLv.23ãæéããªããåœããé£ããäž¡æ¹ãšãã§ãããšãããããã®ãŽããŽãªLv.45ã¯æ°åããããšããããšã¯æãç«ã€ fact6: ãã®ã·ã«ã
ã·ãLv.58ã埩掻åºæ¥ãªããšããããã®ã·ãã·ãLv.23ã¯æéããªãããŸãã¯åœããé£ã fact7: ä»®ã«ãã®ã·ãã·ãLv.23ãåããæããªããªãç¥è¡ããªããæžå
ããªãããŸãã¯ã©ã¡ããã fact8: ãšããã¢ã³ã¹ã¿ãŒã¯åŸ©æŽ»åºæ¥ãªããšããã°ãããã¯æ°åãããå ããŠããã¯æ³å®ãé£ãããšããããšã¯æãç«ããªã fact9: ãããæ¯èŠªããããªãã¢ã³ã¹ã¿ãŒã¯åºããªããªãã埩掻åºæ¥ãªãããšããããšã¯æ¬åœã | fact1: (x): ¬{F}x -> (¬{E}x & ¬{D}x) fact2: ¬{A}{a} fact3: (¬{F}{b} v ¬{G}{b}) -> ¬{F}{a} fact4: {C}{c} fact5: (¬{AA}{b} v {AB}{b}) -> {B}{c} fact6: ¬{A}{a} -> (¬{AA}{b} v {AB}{b}) fact7: ¬{H}{b} -> (¬{F}{b} v ¬{G}{b}) fact8: (x): ¬{A}x -> ¬({B}x & {C}x) fact9: (x): (¬{E}x & ¬{D}x) -> ¬{A}x | [
"fact6 & fact2 -> int1: ããã®ã·ãã·ãLv.23ã¯æéããªãããããã¯åœããé£ãããŸãã¯ã©ã¡ããã ããšããããšã¯äºå®ã ; int1 & fact5 -> int2: ãã®ãŽããŽãªLv.45ã¯æ°åãã; int2 & fact4 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: (¬{AA}{b} v {AB}{b}); int1 & fact5 -> int2: {B}{c}; int2 & fact4 -> hypothesis;"
] | ããã®ãŽããŽãªLv.45ã¯æ°åãããããã¯æ³å®ãé£ãããšããããšã¯åã§ãã | ¬({B}{c} & {C}{c}) | [
"fact13 -> int3: ãã®ãŽããŽãªLv.45ã¯åŸ©æŽ»åºæ¥ãªããªããããã¯æ°åãããããã¯æ³å®ãé£ãããšããããšã¯æãç«ããªã; fact14 -> int4: ãããã®ãŽããŽãªLv.45ã¯æ¯èŠªããããªãããã®äžåºããªããªã埩掻åºæ¥ãªã; fact10 -> int5: ããä»®ã«ãã®ãŽããŽãªLv.45ãç¥è¡ããªããšããããã®ãŽããŽãªLv.45ã¯æ¯èŠªããããšããããšã¯ãªããããã«ããã¯åºããšããããšã¯ãªã;"
] | 7 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒã¯ç¥è¡ãããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšãããšæ¯èŠªããããšããããšã¯ãªããããŸãã«åºããšããããšã¯ãªã fact2: ãã®ã·ã«ã
ã·ãLv.58ã¯åŸ©æŽ»åºæ¥ãªã fact3: ããä»®ã«ãã®ã·ãã·ãLv.23ãç¥è¡ããªãããããã¯æžå
ããªããäž¡æ¹ã ãšããã°ãã®ã·ã«ã
ã·ãLv.58ã¯ç¥è¡ãããšããããšã¯ãªã fact4: ãã®ãŽããŽãªLv.45ã¯æ³å®ãé£ã fact5: ãããã®ã·ãã·ãLv.23ãæéããªããåœããé£ããäž¡æ¹ãšãã§ãããšãããããã®ãŽããŽãªLv.45ã¯æ°åããããšããããšã¯æãç«ã€ fact6: ãã®ã·ã«ã
ã·ãLv.58ã埩掻åºæ¥ãªããšããããã®ã·ãã·ãLv.23ã¯æéããªãããŸãã¯åœããé£ã fact7: ä»®ã«ãã®ã·ãã·ãLv.23ãåããæããªããªãç¥è¡ããªããæžå
ããªãããŸãã¯ã©ã¡ããã fact8: ãšããã¢ã³ã¹ã¿ãŒã¯åŸ©æŽ»åºæ¥ãªããšããã°ãããã¯æ°åãããå ããŠããã¯æ³å®ãé£ãããšããããšã¯æãç«ããªã fact9: ãããæ¯èŠªããããªãã¢ã³ã¹ã¿ãŒã¯åºããªããªãã埩掻åºæ¥ãªãããšããããšã¯æ¬åœã ; $hypothesis$ = ãã®ãŽããŽãªLv.45ã¯æ°åãããããã«æ³å®ãé£ã ; $proof$ = | fact6 & fact2 -> int1: ããã®ã·ãã·ãLv.23ã¯æéããªãããããã¯åœããé£ãããŸãã¯ã©ã¡ããã ããšããããšã¯äºå®ã ; int1 & fact5 -> int2: ãã®ãŽããŽãªLv.45ã¯æ°åãã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{F}x -> (¬{E}x & ¬{D}x) fact2: ¬{A}{a} fact3: (¬{F}{b} v ¬{G}{b}) -> ¬{F}{a} fact4: {C}{c} fact5: (¬{AA}{b} v {AB}{b}) -> {B}{c} fact6: ¬{A}{a} -> (¬{AA}{b} v {AB}{b}) fact7: ¬{H}{b} -> (¬{F}{b} v ¬{G}{b}) fact8: (x): ¬{A}x -> ¬({B}x & {C}x) fact9: (x): (¬{E}x & ¬{D}x) -> ¬{A}x ; $hypothesis$ = ({B}{c} & {C}{c}) ; $proof$ = | fact6 & fact2 -> int1: (¬{AA}{b} v {AB}{b}); int1 & fact5 -> int2: {B}{c}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãæž©ãŸãããšãçããããããã·ã¡ãã·ãLv.74äºä»¶ãèµ·ããããšããããšã¯åœã§ãã | ¬({D} & {C}) | fact1: æž©ãŸãããšãèµ·ãã fact2: æªæ¯ã£ãœããšããããšãçãããåºãããšããããšãçãã fact3: ããä»®ã«å¿èŠãããšããããšã¯çããªããªããæž©ãŸãããšãèµ·ãããå ããŠã·ã¡ãã·ãLv.74äºä»¶ãèµ·ããããšããããšã¯åœã fact4: å¿èŠãããšããããšãšãœããœã¡ã
Lv.85äºä»¶äž¡æ¹ãèµ·ãã fact5: ã¿ã«ãã¿ãLv.50äºä»¶ãèµ·ãã fact6: ãœããœã¡ã
Lv.85äºä»¶ã¯ãã·ã¡ãã·ãLv.74äºä»¶ã¯çºçããªãããšããããšãåé¿ãã fact7: ãŽã®ãŽã«ã
Lv.23äºä»¶ãçãã | fact1: {D} fact2: ({IP} & {HI}) fact3: ¬{A} -> ¬({D} & {C}) fact4: ({A} & {B}) fact5: {HP} fact6: {B} -> {C} fact7: {DP} | [
"fact4 -> int1: ããœããœã¡ã
Lv.85äºä»¶ãèµ·ããããšããããšã¯æ£ãã; int1 & fact6 -> int2: ã·ã¡ãã·ãLv.74äºä»¶ãçºçãã; int2 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact1 -> hypothesis;"
] | ãæž©ãŸãããšãçããããããã·ã¡ãã·ãLv.74äºä»¶ãèµ·ããããšããããšã¯åœã§ãã | ¬({D} & {C}) | [] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æž©ãŸãããšãèµ·ãã fact2: æªæ¯ã£ãœããšããããšãçãããåºãããšããããšãçãã fact3: ããä»®ã«å¿èŠãããšããããšã¯çããªããªããæž©ãŸãããšãèµ·ãããå ããŠã·ã¡ãã·ãLv.74äºä»¶ãèµ·ããããšããããšã¯åœã fact4: å¿èŠãããšããããšãšãœããœã¡ã
Lv.85äºä»¶äž¡æ¹ãèµ·ãã fact5: ã¿ã«ãã¿ãLv.50äºä»¶ãèµ·ãã fact6: ãœããœã¡ã
Lv.85äºä»¶ã¯ãã·ã¡ãã·ãLv.74äºä»¶ã¯çºçããªãããšããããšãåé¿ãã fact7: ãŽã®ãŽã«ã
Lv.23äºä»¶ãçãã ; $hypothesis$ = ãæž©ãŸãããšãçããããããã·ã¡ãã·ãLv.74äºä»¶ãèµ·ããããšããããšã¯åœã§ãã ; $proof$ = | fact4 -> int1: ããœããœã¡ã
Lv.85äºä»¶ãèµ·ããããšããããšã¯æ£ãã; int1 & fact6 -> int2: ã·ã¡ãã·ãLv.74äºä»¶ãçºçãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D} fact2: ({IP} & {HI}) fact3: ¬{A} -> ¬({D} & {C}) fact4: ({A} & {B}) fact5: {HP} fact6: {B} -> {C} fact7: {DP} ; $hypothesis$ = ¬({D} & {C}) ; $proof$ = | fact4 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.92ã¯äžãé£ããªã | ¬{D}{c} | fact1: ãããã®ãŸã«ããŸã®Lv.64ãåããããšããã°ãã®ããããLv.92ã¯äžãé£ã fact2: ãã®ã·ã«ãã·ãLv.49ã¯åºå
ããããã«ç
©ããã | fact1: {C}{b} -> {D}{c} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ã·ã«ãã·ãLv.49ã¯åºå
ã;"
] | [
"fact2 -> int1: {A}{a};"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ãŸã«ããŸã®Lv.64ãåããããšããã°ãã®ããããLv.92ã¯äžãé£ã fact2: ãã®ã·ã«ãã·ãLv.49ã¯åºå
ããããã«ç
©ããã ; $hypothesis$ = ãã®ããããLv.92ã¯äžãé£ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{b} -> {D}{c} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{D}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸãLv.47ã¯æŒãæããªã | ¬{D}{a} | fact1: ããããã®ãŽããŽã«ã
Lv.57ã¯æŒãæãããšããããšã¯æãç«ã€ãªããã®ãŸã¡ããŸãLv.47ã¯æŒãæã fact2: ãã®ã·ã¡ã
ã·ãLv.73ãæŽã¿æããªããšãããšãã®ãŽããŽã«ã
Lv.57ã¯æŒãæããå¿è匷ã fact3: ããä»®ã«ãã®ãŸã¡ããŸãLv.47ã¯æ··åãæããããŸãã«å¿è匷ããšããã°ããã¯æŒãæããªã fact4: ãã®ãŸã¡ããŸãLv.47ã¯æŽã¿æã fact5: ãã®ãœã¡ããœãLv.95ã¯æ··åãæã fact6: ãã®ãŽã«ã
ãŽãLv.46ãå¿è匷ããªãã°åŸ¡è©³ãã fact7: ãã®ãŸã¡ããŸãLv.47ã¯å¿è匷ããŠæŽã¿æã | fact1: {D}{b} -> {D}{a} fact2: ¬{B}{c} -> ({D}{b} & {A}{b}) fact3: ({C}{a} & {A}{a}) -> ¬{D}{a} fact4: {B}{a} fact5: {C}{cb} fact6: {A}{ik} -> {I}{ik} fact7: ({A}{a} & {B}{a}) | [
"fact7 -> int1: ãã®ãŸã¡ããŸãLv.47ã¯å¿è匷ã;"
] | [
"fact7 -> int1: {A}{a};"
] | ãã®ãŸã¡ããŸãLv.47ã¯æŒãæã | {D}{a} | [] | 6 | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã®ãŽããŽã«ã
Lv.57ã¯æŒãæãããšããããšã¯æãç«ã€ãªããã®ãŸã¡ããŸãLv.47ã¯æŒãæã fact2: ãã®ã·ã¡ã
ã·ãLv.73ãæŽã¿æããªããšãããšãã®ãŽããŽã«ã
Lv.57ã¯æŒãæããå¿è匷ã fact3: ããä»®ã«ãã®ãŸã¡ããŸãLv.47ã¯æ··åãæããããŸãã«å¿è匷ããšããã°ããã¯æŒãæããªã fact4: ãã®ãŸã¡ããŸãLv.47ã¯æŽã¿æã fact5: ãã®ãœã¡ããœãLv.95ã¯æ··åãæã fact6: ãã®ãŽã«ã
ãŽãLv.46ãå¿è匷ããªãã°åŸ¡è©³ãã fact7: ãã®ãŸã¡ããŸãLv.47ã¯å¿è匷ããŠæŽã¿æã ; $hypothesis$ = ãã®ãŸã¡ããŸãLv.47ã¯æŒãæããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D}{b} -> {D}{a} fact2: ¬{B}{c} -> ({D}{b} & {A}{b}) fact3: ({C}{a} & {A}{a}) -> ¬{D}{a} fact4: {B}{a} fact5: {C}{cb} fact6: {A}{ik} -> {I}{ik} fact7: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã«ãLv.56ã¯å¬ããªã | ¬{D}{c} | fact1: ããä»®ã«ãã®ãã®ãã¡ãLv.81ãæããæããªãã°ãã®ãã®ãã¡ãLv.81ã¯åãé£ã fact2: ããä»®ã«ãã®ã·ã®ã·ã¡ãLv.17ãéãæããšãããšãã®ãã®ãã¡ãLv.81ã¯æããæã fact3: ãã®ã·ã®ã·ã¡ãLv.17ã¯éãæã fact4: ä»®ã«ãã®ãã®ãã¡ãLv.81ãåãé£ããšããããã®ã·ãã·ã«ãLv.56ã¯å¬ã | fact1: {B}{b} -> {C}{b} fact2: {A}{a} -> {B}{b} fact3: {A}{a} fact4: {C}{b} -> {D}{c} | [
"fact2 & fact3 -> int1: ããã®ãã®ãã¡ãLv.81ã¯æããæãããšããããšã¯æãç«ã€; int1 & fact1 -> int2: ããã®ãã®ãã¡ãLv.81ã¯åãé£ãããšããããšã¯äºå®ã ; int2 & fact4 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ãã®ãã®ãã¡ãLv.81ãæããæããªãã°ãã®ãã®ãã¡ãLv.81ã¯åãé£ã fact2: ããä»®ã«ãã®ã·ã®ã·ã¡ãLv.17ãéãæããšãããšãã®ãã®ãã¡ãLv.81ã¯æããæã fact3: ãã®ã·ã®ã·ã¡ãLv.17ã¯éãæã fact4: ä»®ã«ãã®ãã®ãã¡ãLv.81ãåãé£ããšããããã®ã·ãã·ã«ãLv.56ã¯å¬ã ; $hypothesis$ = ãã®ã·ãã·ã«ãLv.56ã¯å¬ããªã ; $proof$ = | fact2 & fact3 -> int1: ããã®ãã®ãã¡ãLv.81ã¯æããæãããšããããšã¯æãç«ã€; int1 & fact1 -> int2: ããã®ãã®ãã¡ãLv.81ã¯åãé£ãããšããããšã¯äºå®ã ; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> {C}{b} fact2: {A}{a} -> {B}{b} fact3: {A}{a} fact4: {C}{b} -> {D}{c} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | fact2 & fact3 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŸããŸã«ãLv.78ã¯çãæããªããèŠä»ãæããªãããšããããšã¯èª€ãã§ãã | ¬(¬{E}{c} & ¬{F}{c}) | fact1: ãããããã®ãŸããŸã¡ãLv.90ã¯å·®ãåºããŸãããšããããšã¯ãªããŠãŸãççœããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠããã°ãã®ãŸããŸã«ãLv.78ã¯ãã€ç¡ããªã fact2: ããã€ç¡ããªãã¢ã³ã¹ã¿ãŒã¯ã«ãããªããŠæŽã«å¥³ã®åããããªãããšããããšã¯ç¢ºãã fact3: ããã¢ã³ã¹ã¿ãŒã¯å¥¥æ·±ã fact4: 奥深ããªãã¢ã³ã¹ã¿ãŒã¯çãæããªããŠèŠä»ãæããªã fact5: ããããã®ãŸããŸã¡ãLv.90ã¯ã«ãããªããã©å¥³ã®åãããããšããããšã¯èª€ãã§ãããšããã°ãã®ãœã¡ããœãLv.78ã¯ãã€ç¡ããªã fact6: ããããã®ãœã¡ããœãLv.78ã¯ãã€ç¡ããšããããšã¯ãªããšããã°ããã®ãŸããŸã«ãLv.78ã¯çãæããªããããã«èŠä»ãæããªãããšããããšã¯äºå®ã§ãªã fact7: ããããšããã¢ã³ã¹ã¿ãŒã¯å¥¥æ·±ãããšããããšã¯æãç«ã€ãšãããšããã®ãŸããŸã¡ãLv.90ã¯ã«ãããªãããããããã¯å¥³ã®åãããããšããããšã¯ééãã§ãã fact8: ãããšããã¢ã³ã¹ã¿ãŒã¯ã«ããããšããããšã¯ãªãã女ã®åããããªããªãã°å¥¥æ·±ããªã | fact1: ¬(¬{H}{a} & ¬{G}{a}) -> ¬{D}{c} fact2: (x): ¬{D}x -> (¬{B}x & ¬{C}x) fact3: (Ex): {A}x fact4: (x): ¬{A}x -> (¬{E}x & ¬{F}x) fact5: ¬(¬{B}{a} & {C}{a}) -> ¬{D}{b} fact6: ¬{D}{b} -> ¬(¬{E}{c} & ¬{F}{c}) fact7: (x): {A}x -> ¬(¬{B}{a} & {C}{a}) fact8: (x): (¬{B}x & ¬{C}x) -> ¬{A}x | [
"fact3 & fact7 -> int1: ããã®ãŸããŸã¡ãLv.90ã¯ã«ãããªãäžæ¹ã§å¥³ã®åãããããšããããšã¯äºå®ãšç°ãªã; int1 & fact5 -> int2: ãã®ãœã¡ããœãLv.78ã¯ãã€ç¡ããªã; int2 & fact6 -> hypothesis;"
] | [
"fact3 & fact7 -> int1: ¬(¬{B}{a} & {C}{a}); int1 & fact5 -> int2: ¬{D}{b}; int2 & fact6 -> hypothesis;"
] | ãã®ãŸããŸã«ãLv.78ã¯çãæããªããèŠä»ãæããªã | (¬{E}{c} & ¬{F}{c}) | [
"fact12 -> int3: ãã®ãŸããŸã«ãLv.78ã奥深ããªããªããã®ãŸããŸã«ãLv.78ã¯çãæããªããŠèŠä»ãæããªã; fact11 -> int4: ããä»®ã«ãã®ãŸããŸã«ãLv.78ã¯ã«ãããªãã女ã®åããããªããšããã°å¥¥æ·±ããªã; fact10 -> int5: ä»®ã«ãã®ãŸããŸã«ãLv.78ã¯ãã€ç¡ããªããšããã°ããã®ãŸããŸã«ãLv.78ã¯ã«ãããªããæŽã«ããã¯å¥³ã®åããããªãããšããããšã¯ç¢ºãã§ãã;"
] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããã®ãŸããŸã¡ãLv.90ã¯å·®ãåºããŸãããšããããšã¯ãªããŠãŸãççœããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠããã°ãã®ãŸããŸã«ãLv.78ã¯ãã€ç¡ããªã fact2: ããã€ç¡ããªãã¢ã³ã¹ã¿ãŒã¯ã«ãããªããŠæŽã«å¥³ã®åããããªãããšããããšã¯ç¢ºãã fact3: ããã¢ã³ã¹ã¿ãŒã¯å¥¥æ·±ã fact4: 奥深ããªãã¢ã³ã¹ã¿ãŒã¯çãæããªããŠèŠä»ãæããªã fact5: ããããã®ãŸããŸã¡ãLv.90ã¯ã«ãããªããã©å¥³ã®åãããããšããããšã¯èª€ãã§ãããšããã°ãã®ãœã¡ããœãLv.78ã¯ãã€ç¡ããªã fact6: ããããã®ãœã¡ããœãLv.78ã¯ãã€ç¡ããšããããšã¯ãªããšããã°ããã®ãŸããŸã«ãLv.78ã¯çãæããªããããã«èŠä»ãæããªãããšããããšã¯äºå®ã§ãªã fact7: ããããšããã¢ã³ã¹ã¿ãŒã¯å¥¥æ·±ãããšããããšã¯æãç«ã€ãšãããšããã®ãŸããŸã¡ãLv.90ã¯ã«ãããªãããããããã¯å¥³ã®åãããããšããããšã¯ééãã§ãã fact8: ãããšããã¢ã³ã¹ã¿ãŒã¯ã«ããããšããããšã¯ãªãã女ã®åããããªããªãã°å¥¥æ·±ããªã ; $hypothesis$ = ããã®ãŸããŸã«ãLv.78ã¯çãæããªããèŠä»ãæããªãããšããããšã¯èª€ãã§ãã ; $proof$ = | fact3 & fact7 -> int1: ããã®ãŸããŸã¡ãLv.90ã¯ã«ãããªãäžæ¹ã§å¥³ã®åãããããšããããšã¯äºå®ãšç°ãªã; int1 & fact5 -> int2: ãã®ãœã¡ããœãLv.78ã¯ãã€ç¡ããªã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{H}{a} & ¬{G}{a}) -> ¬{D}{c} fact2: (x): ¬{D}x -> (¬{B}x & ¬{C}x) fact3: (Ex): {A}x fact4: (x): ¬{A}x -> (¬{E}x & ¬{F}x) fact5: ¬(¬{B}{a} & {C}{a}) -> ¬{D}{b} fact6: ¬{D}{b} -> ¬(¬{E}{c} & ¬{F}{c}) fact7: (x): {A}x -> ¬(¬{B}{a} & {C}{a}) fact8: (x): (¬{B}x & ¬{C}x) -> ¬{A}x ; $hypothesis$ = ¬(¬{E}{c} & ¬{F}{c}) ; $proof$ = | fact3 & fact7 -> int1: ¬(¬{B}{a} & {C}{a}); int1 & fact5 -> int2: ¬{D}{b}; int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | çæ°ãããšããããšãçºçãã | {D} | fact1: è°è«ããããšãçãã fact2: ä»®ã«ããŽã¡ããŽãLv.20äºä»¶ã¯çºçããªããŠæããé£ããšããããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšããã°çæ°ãããšããããšãçºçãã fact3: ãœã«ããœã«ãLv.63äºä»¶ã¯çºçããªããšããããšã¯ãæããé£ããšããããšã¯èµ·ãããªããããã«åœãŠä»ãããŸãããšããããšã¯èµ·ãããªãããšããããšã«ããçãã fact4: ããã貧ä¹èããšããããšã¯çºçããªããªãã°ããŽã¡ããŽãLv.20äºä»¶ã¯èµ·ãããªããŠå ããŠæããé£ããšããããšã¯çºçããªãããšããããšã¯äºå®ãšç°ãªã fact5: è°è«ããããšã¯ãœã«ããœã«ãLv.63äºä»¶ããããã fact6: ä»®ã«ãååŸãæããšããããšãçãããä»æ¹ç¡ããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšè²§ä¹èããšããããšã¯èµ·ããªã fact7: ãçæ°ãããšããããšã¯èµ·ãããªãããšããããšã¯åœãŠä»ãããŸãããšããããšã«ããçºçãã | fact1: {A} fact2: ¬(¬{F} & ¬{E}) -> {D} fact3: (¬{E} & ¬{C}) -> ¬{B} fact4: ¬{G} -> ¬(¬{F} & ¬{E}) fact5: {A} -> {B} fact6: ¬({I} v {H}) -> ¬{G} fact7: {C} -> ¬{D} | [
"fact5 & fact1 -> int1: ãœã«ããœã«ãLv.63äºä»¶ãçºçãã; int1 -> int2: ãœã«ããœã«ãLv.63äºä»¶ãèµ·ããããŸãã¯åœãŠä»ãããŸãããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãã;"
] | [
"fact5 & fact1 -> int1: {B}; int1 -> int2: ({B} v {C});"
] | çæ°ãããšããããšãçºçãã | {D} | [] | 6 | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: è°è«ããããšãçãã fact2: ä»®ã«ããŽã¡ããŽãLv.20äºä»¶ã¯çºçããªããŠæããé£ããšããããšã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªããšããã°çæ°ãããšããããšãçºçãã fact3: ãœã«ããœã«ãLv.63äºä»¶ã¯çºçããªããšããããšã¯ãæããé£ããšããããšã¯èµ·ãããªããããã«åœãŠä»ãããŸãããšããããšã¯èµ·ãããªãããšããããšã«ããçãã fact4: ããã貧ä¹èããšããããšã¯çºçããªããªãã°ããŽã¡ããŽãLv.20äºä»¶ã¯èµ·ãããªããŠå ããŠæããé£ããšããããšã¯çºçããªãããšããããšã¯äºå®ãšç°ãªã fact5: è°è«ããããšã¯ãœã«ããœã«ãLv.63äºä»¶ããããã fact6: ä»®ã«ãååŸãæããšããããšãçãããä»æ¹ç¡ããšããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšè²§ä¹èããšããããšã¯èµ·ããªã fact7: ãçæ°ãããšããããšã¯èµ·ãããªãããšããããšã¯åœãŠä»ãããŸãããšããããšã«ããçºçãã ; $hypothesis$ = çæ°ãããšããããšãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: ¬(¬{F} & ¬{E}) -> {D} fact3: (¬{E} & ¬{C}) -> ¬{B} fact4: ¬{G} -> ¬(¬{F} & ¬{E}) fact5: {A} -> {B} fact6: ¬({I} v {H}) -> ¬{G} fact7: {C} -> ¬{D} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã®ã·ãLv.89ã¯æåŸããªãäžæ¹ã§èŠãã | (¬{D}{b} & {E}{b}) | fact1: ããããã®ã¿ã¡ãã¿ã«ãLv.4ãçž®åããããããã¯å€å¥ãé£ããªãã°ããã®ã·ã®ã·ãLv.89ã¯ã°ã©ãåããªãããšããããšã¯æ¬åœã fact2: ãã®ã·ã®ã·ãLv.89ã¯ã°ã©ãåããªããªãã°ããã®ã·ã®ã·ãLv.89ã¯æåŸããªãããããèŠããããšããããšã¯æ£ãã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: ¬{C}{b} -> (¬{D}{b} & {E}{b}) | [] | [] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ã¿ã¡ãã¿ã«ãLv.4ãçž®åããããããã¯å€å¥ãé£ããªãã°ããã®ã·ã®ã·ãLv.89ã¯ã°ã©ãåããªãããšããããšã¯æ¬åœã fact2: ãã®ã·ã®ã·ãLv.89ã¯ã°ã©ãåããªããªãã°ããã®ã·ã®ã·ãLv.89ã¯æåŸããªãããããèŠããããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ã·ã®ã·ãLv.89ã¯æåŸããªãäžæ¹ã§èŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: ¬{C}{b} -> (¬{D}{b} & {E}{b}) ; $hypothesis$ = (¬{D}{b} & {E}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã¡ã
Lv.16ã¯ãšãèããªã | ¬{D}{b} | fact1: ããããã®ã¿ãã¿ãLv.71ãäŸããšããããšã¯ãªããªããã®ãŽããŽã¡ã
Lv.16ã¯å»ããªã fact2: ããã®ãã«ããã«ãLv.95ã¯æäœãæãããšããããšã¯æãç«ã€ fact3: ãã®ã¿ãã¿ãLv.71ã¯æäœãæããããã«å»ã fact4: ããä»®ã«ãã®ãŽã«ããŽãLv.74ãæ¯çããªããšãããšãã®ãŽã«ããŽãLv.74ã¯ä¿¡ä»°æ·±ããªããæããšããããšã¯ãªã fact5: ãã®ã¿ãã¿ãLv.71ãäŸããšããã°ãã®ãŽããŽã¡ã
Lv.16ã¯ãšãèããªã fact6: ä»®ã«ãã®ã¿ãã¿ãLv.71ãäŸãããããã¯æäœãæããšãããšãã®ãŽããŽã¡ã
Lv.16ã¯ãšãèããšããããšã¯ãªã fact7: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãå»ããªããšããã°ããã¯ãšãèããŠãã€ããã¯æäœãæã | fact1: ¬{C}{a} -> ¬{B}{b} fact2: {A}{ik} fact3: ({A}{a} & {B}{a}) fact4: ¬{G}{c} -> (¬{E}{c} & ¬{F}{c}) fact5: {C}{a} -> ¬{D}{b} fact6: ({C}{a} v {A}{a}) -> ¬{D}{b} fact7: (x): ¬{B}x -> ({D}x & {A}x) | [
"fact3 -> int1: ãã®ã¿ãã¿ãLv.71ã¯æäœãæã; int1 -> int2: ãã®ã¿ãã¿ãLv.71ã¯äŸãããããã¯æäœãæããäž¡æ¹ã§ãã; int2 & fact6 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 -> int2: ({C}{a} v {A}{a}); int2 & fact6 -> hypothesis;"
] | ããã®ãŽããŽã¡ã
Lv.16ã¯ãšãèãããšããããšã¯ééã£ãŠããªã | {D}{b} | [
"fact10 -> int3: ãã®ãŽããŽã¡ã
Lv.16ãå»ããªããšããã°ãšãèããæŽã«æäœãæã;"
] | 7 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¿ãã¿ãLv.71ãäŸããšããããšã¯ãªããªããã®ãŽããŽã¡ã
Lv.16ã¯å»ããªã fact2: ããã®ãã«ããã«ãLv.95ã¯æäœãæãããšããããšã¯æãç«ã€ fact3: ãã®ã¿ãã¿ãLv.71ã¯æäœãæããããã«å»ã fact4: ããä»®ã«ãã®ãŽã«ããŽãLv.74ãæ¯çããªããšãããšãã®ãŽã«ããŽãLv.74ã¯ä¿¡ä»°æ·±ããªããæããšããããšã¯ãªã fact5: ãã®ã¿ãã¿ãLv.71ãäŸããšããã°ãã®ãŽããŽã¡ã
Lv.16ã¯ãšãèããªã fact6: ä»®ã«ãã®ã¿ãã¿ãLv.71ãäŸãããããã¯æäœãæããšãããšãã®ãŽããŽã¡ã
Lv.16ã¯ãšãèããšããããšã¯ãªã fact7: ä»®ã«ãšããã¢ã³ã¹ã¿ãŒãå»ããªããšããã°ããã¯ãšãèããŠãã€ããã¯æäœãæã ; $hypothesis$ = ãã®ãŽããŽã¡ã
Lv.16ã¯ãšãèããªã ; $proof$ = | fact3 -> int1: ãã®ã¿ãã¿ãLv.71ã¯æäœãæã; int1 -> int2: ãã®ã¿ãã¿ãLv.71ã¯äŸãããããã¯æäœãæããäž¡æ¹ã§ãã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{a} -> ¬{B}{b} fact2: {A}{ik} fact3: ({A}{a} & {B}{a}) fact4: ¬{G}{c} -> (¬{E}{c} & ¬{F}{c}) fact5: {C}{a} -> ¬{D}{b} fact6: ({C}{a} v {A}{a}) -> ¬{D}{b} fact7: (x): ¬{B}x -> ({D}x & {A}x) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact3 -> int1: {A}{a}; int1 -> int2: ({C}{a} v {A}{a}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã«ã·ãLv.5ã¯æããããããã©ããã¯å€ªãé£ããªãããšããããšã¯ç¢ºãã§ãªã | ¬({D}{b} & ¬{C}{b}) | fact1: ãããã®ã·ãã·ãLv.22ãå±ããããããã¯ããã倪ãé£ãããŸãã¯ã©ã¡ããã ãšããã°ãã®ã·ã«ã·ãLv.5ã¯æãããããªã fact2: ããããã®ã·ãã·ãLv.22ãå±ãããšããããã®ã·ã«ã·ãLv.5ã¯å€ªãé£ããªãããšããããšã¯èª€ãã§ãªã fact3: ãã®ã·ãã·ãLv.22ã¯æ¬¡ã fact4: ãã®ã·ã«ã·ãLv.5ã¯æãããã fact5: ä»®ã«ãã®ã·ãã·ãLv.22ã¯æ¬¡ãããŸãã¯å±ãããã©ã¡ããã§ãããšãããšããã®ã·ã«ã·ãLv.5ã¯å€ªãé£ããªãããšããããšã¯æãç«ã€ fact6: ããä»®ã«ãã®ã·ã«ã·ãLv.5ã次ããšãããšãã®ã·ãã·ãLv.22ã¯å€ªãé£ããªã fact7: ãã®ãŽããŽã«ãLv.15ã¯å€ªãé£ã fact8: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ¬¡ããªããšãããšãããã¯æãããããããã¯å€ªãé£ããªãããšããããšã¯èª€ã£ãŠãã | fact1: ({B}{a} v {C}{a}) -> ¬{D}{b} fact2: {B}{a} -> ¬{C}{b} fact3: {A}{a} fact4: {D}{b} fact5: ({A}{a} v {B}{a}) -> ¬{C}{b} fact6: {A}{b} -> ¬{C}{a} fact7: {C}{gl} fact8: (x): ¬{A}x -> ¬({D}x & ¬{C}x) | [
"fact3 -> int1: ãã®ã·ãã·ãLv.22ã¯æ¬¡ãããŸãã¯å±ãã; int1 & fact5 -> int2: ãã®ã·ã«ã·ãLv.5ã¯å€ªãé£ããªã; int2 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact5 -> int2: ¬{C}{b}; int2 & fact4 -> hypothesis;"
] | ããã®ã·ã«ã·ãLv.5ã¯æããããããã©ããã¯å€ªãé£ããªãããšããããšã¯ç¢ºãã§ãªã | ¬({D}{b} & ¬{C}{b}) | [
"fact9 -> int3: ããä»®ã«ãã®ã·ã«ã·ãLv.5ã¯æ¬¡ããªããšããã°ããã®ã·ã«ã·ãLv.5ã¯æãããããã©å€ªãé£ããªãããšããããšã¯æãç«ããªã;"
] | 6 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã·ãã·ãLv.22ãå±ããããããã¯ããã倪ãé£ãããŸãã¯ã©ã¡ããã ãšããã°ãã®ã·ã«ã·ãLv.5ã¯æãããããªã fact2: ããããã®ã·ãã·ãLv.22ãå±ãããšããããã®ã·ã«ã·ãLv.5ã¯å€ªãé£ããªãããšããããšã¯èª€ãã§ãªã fact3: ãã®ã·ãã·ãLv.22ã¯æ¬¡ã fact4: ãã®ã·ã«ã·ãLv.5ã¯æãããã fact5: ä»®ã«ãã®ã·ãã·ãLv.22ã¯æ¬¡ãããŸãã¯å±ãããã©ã¡ããã§ãããšãããšããã®ã·ã«ã·ãLv.5ã¯å€ªãé£ããªãããšããããšã¯æãç«ã€ fact6: ããä»®ã«ãã®ã·ã«ã·ãLv.5ã次ããšãããšãã®ã·ãã·ãLv.22ã¯å€ªãé£ããªã fact7: ãã®ãŽããŽã«ãLv.15ã¯å€ªãé£ã fact8: ãããªãããã®ã¢ã³ã¹ã¿ãŒã¯æ¬¡ããªããšãããšãããã¯æãããããããã¯å€ªãé£ããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ããã®ã·ã«ã·ãLv.5ã¯æããããããã©ããã¯å€ªãé£ããªãããšããããšã¯ç¢ºãã§ãªã ; $proof$ = | fact3 -> int1: ãã®ã·ãã·ãLv.22ã¯æ¬¡ãããŸãã¯å±ãã; int1 & fact5 -> int2: ãã®ã·ã«ã·ãLv.5ã¯å€ªãé£ããªã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B}{a} v {C}{a}) -> ¬{D}{b} fact2: {B}{a} -> ¬{C}{b} fact3: {A}{a} fact4: {D}{b} fact5: ({A}{a} v {B}{a}) -> ¬{C}{b} fact6: {A}{b} -> ¬{C}{a} fact7: {C}{gl} fact8: (x): ¬{A}x -> ¬({D}x & ¬{C}x) ; $hypothesis$ = ¬({D}{b} & ¬{C}{b}) ; $proof$ = | fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact5 -> int2: ¬{C}{b}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã«ãã·ãLv.74ã¯å³ããæ·±ããªã | ¬{D}{b} | fact1: ãã®ã¿ãã¿ã«ãLv.54ã¯çŽãé£ã fact2: ããããã®ã·ã¡ãã·ã«ãLv.80ãå³ããæ·±ããªããªããã®ã·ã¡ãã·ã«ãLv.80ã¯èŠåãé£ããããŸãã«æ±ºå®ã fact3: ãã®ãŽããŽãLv.62ã¯åžžé£ããããæŽã«ããã¯æ¹è³ªãã fact4: ãã®ã·ã«ãã·ãLv.74ã¯é£²ã¿æã fact5: ãã®ã¿ãã¿ã«ãLv.54ã¯çŽãé£ããšãããããã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ãããšããããšã¯æãç«ã€ fact6: ä»®ã«ãã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ããããã«é£²ã¿æããšãããå³ããæ·±ããªã | fact1: {A}{a} fact2: ¬{D}{af} -> ({HD}{af} & {B}{af}) fact3: ({R}{fm} & {GD}{fm}) fact4: {C}{b} fact5: {A}{a} -> {B}{b} fact6: ({B}{b} & {C}{b}) -> ¬{D}{b} | [
"fact5 & fact1 -> int1: ãã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ã; int1 & fact4 -> int2: ãã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ãã飲ã¿æã; int2 & fact6 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: {B}{b}; int1 & fact4 -> int2: ({B}{b} & {C}{b}); int2 & fact6 -> hypothesis;"
] | ãã®ã·ã¡ãã·ã«ãLv.80ã¯èŠåãé£ãããããçŽãé£ã | ({HD}{af} & {A}{af}) | [] | 5 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ã«ãLv.54ã¯çŽãé£ã fact2: ããããã®ã·ã¡ãã·ã«ãLv.80ãå³ããæ·±ããªããªããã®ã·ã¡ãã·ã«ãLv.80ã¯èŠåãé£ããããŸãã«æ±ºå®ã fact3: ãã®ãŽããŽãLv.62ã¯åžžé£ããããæŽã«ããã¯æ¹è³ªãã fact4: ãã®ã·ã«ãã·ãLv.74ã¯é£²ã¿æã fact5: ãã®ã¿ãã¿ã«ãLv.54ã¯çŽãé£ããšãããããã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ãããšããããšã¯æãç«ã€ fact6: ä»®ã«ãã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ããããã«é£²ã¿æããšãããå³ããæ·±ããªã ; $hypothesis$ = ãã®ã·ã«ãã·ãLv.74ã¯å³ããæ·±ããªã ; $proof$ = | fact5 & fact1 -> int1: ãã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ã; int1 & fact4 -> int2: ãã®ã·ã«ãã·ãLv.74ã¯æ±ºå®ãã飲ã¿æã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{D}{af} -> ({HD}{af} & {B}{af}) fact3: ({R}{fm} & {GD}{fm}) fact4: {C}{b} fact5: {A}{a} -> {B}{b} fact6: ({B}{b} & {C}{b}) -> ¬{D}{b} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact5 & fact1 -> int1: {B}{b}; int1 & fact4 -> int2: ({B}{b} & {C}{b}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã«ã
ããLv.16äºä»¶ãšãœããœãLv.80äºä»¶äž¡æ¹ãèµ·ãã | ({B} & {C}) | fact1: ããä»®ã«ãã¿ã¡ãã¿ãLv.86äºä»¶ã§ã¯ãªããŠãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠããã°ãœããœãLv.80äºä»¶ã¯çºçããªã fact2: ã·ãã·ã«ãLv.83äºä»¶ã¯ãã«ã
ããLv.16äºä»¶ãçºçããã fact3: ããä»®ã«ã·ãã·ã«ãLv.83äºä»¶ã¯çããªããšããããããã«ã
ããLv.16äºä»¶ãšãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯æãç«ããªãããšããããšã¯çå®ã§ãã fact4: ã·ãã·ã«ãLv.83äºä»¶ãçºçãã fact5: ãœããœãLv.80äºä»¶ãèµ·ãã fact6: ãã¿ã¡ãã¿ãLv.86äºä»¶ã¯èµ·ããªããåºä»ããããšãèµ·ããããšããããšã¯ã·ãã·ã«ãLv.83äºä»¶ãé»æ¢ãã | fact1: ¬(¬{D} & {C}) -> ¬{C} fact2: {A} -> {B} fact3: ¬{A} -> ¬({B} & {C}) fact4: {A} fact5: {C} fact6: (¬{D} & {E}) -> ¬{A} | [
"fact2 & fact4 -> int1: ãã«ã
ããLv.16äºä»¶ãçãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | ããã«ã
ããLv.16äºä»¶ãšãœããœãLv.80äºä»¶ã©ã¡ãããçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({B} & {C}) | [] | 7 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã¿ã¡ãã¿ãLv.86äºä»¶ã§ã¯ãªããŠãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯èª€ã£ãŠããã°ãœããœãLv.80äºä»¶ã¯çºçããªã fact2: ã·ãã·ã«ãLv.83äºä»¶ã¯ãã«ã
ããLv.16äºä»¶ãçºçããã fact3: ããä»®ã«ã·ãã·ã«ãLv.83äºä»¶ã¯çããªããšããããããã«ã
ããLv.16äºä»¶ãšãœããœãLv.80äºä»¶ãèµ·ããããšããããšã¯æãç«ããªãããšããããšã¯çå®ã§ãã fact4: ã·ãã·ã«ãLv.83äºä»¶ãçºçãã fact5: ãœããœãLv.80äºä»¶ãèµ·ãã fact6: ãã¿ã¡ãã¿ãLv.86äºä»¶ã¯èµ·ããªããåºä»ããããšãèµ·ããããšããããšã¯ã·ãã·ã«ãLv.83äºä»¶ãé»æ¢ãã ; $hypothesis$ = ãã«ã
ããLv.16äºä»¶ãšãœããœãLv.80äºä»¶äž¡æ¹ãèµ·ãã ; $proof$ = | fact2 & fact4 -> int1: ãã«ã
ããLv.16äºä»¶ãçãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{D} & {C}) -> ¬{C} fact2: {A} -> {B} fact3: ¬{A} -> ¬({B} & {C}) fact4: {A} fact5: {C} fact6: (¬{D} & {E}) -> ¬{A} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact2 & fact4 -> int1: {B}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ç©çããããšããããšã¯èµ·ãããªã | ¬{D} | fact1: ããããŸãªãŸãLv.35äºä»¶ã¯èµ·ãããªããªãã°ãã¿ãã¿ãLv.51äºä»¶ã§ã¯ãªãã¿ã¡ãã¿ãLv.30äºä»¶ãçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãããã¿ãã¿ãLv.51äºä»¶ã§ã¯ãªããŠã¿ã¡ãã¿ãLv.30äºä»¶ãçºçããããšããããšã¯ééãã§ãããªãã°ã¿ã¡ãã¿ãLv.30äºä»¶ã¯çããªã fact3: è
¹ç«ããããšããããšã¯ãã¿ã¡ãã¿ãLv.30äºä»¶ã¯çºçããªãããšããããšã«é²ããã fact4: ç©çãããšããããšã¯éãéãããšãåå ã fact5: è
¹ç«ããããšããããšã¯çããªããªããçªãåºããããšãçºçããªãããŸããŸããŸã¡ã
Lv.35äºä»¶ã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã fact6: ããç©çãããšããããšããããã¯çªãåºããããšããŸãã¯ã©ã¡ãããçºçãããšããã°ç©çããããšããããšã¯èµ·ãããªã fact7: ããä»®ã«ãçªãåºããããšãçããªãããã€ãŸããŸã¡ã
Lv.35äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãããšãããšç©çãããšããããšã¯èµ·ãããªã | fact1: ¬{H} -> ¬(¬{I} & {G}) fact2: ¬(¬{I} & {G}) -> ¬{G} fact3: ¬{G} -> ¬{F} fact4: {A} -> {B} fact5: ¬{F} -> ¬(¬{C} & ¬{E}) fact6: ({B} v {C}) -> ¬{D} fact7: ¬(¬{C} & ¬{E}) -> ¬{B} | [] | [] | ç©çããããšããããšãèµ·ãã | {D} | [] | 10 | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããŸãªãŸãLv.35äºä»¶ã¯èµ·ãããªããªãã°ãã¿ãã¿ãLv.51äºä»¶ã§ã¯ãªãã¿ã¡ãã¿ãLv.30äºä»¶ãçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãããã¿ãã¿ãLv.51äºä»¶ã§ã¯ãªããŠã¿ã¡ãã¿ãLv.30äºä»¶ãçºçããããšããããšã¯ééãã§ãããªãã°ã¿ã¡ãã¿ãLv.30äºä»¶ã¯çããªã fact3: è
¹ç«ããããšããããšã¯ãã¿ã¡ãã¿ãLv.30äºä»¶ã¯çºçããªãããšããããšã«é²ããã fact4: ç©çãããšããããšã¯éãéãããšãåå ã fact5: è
¹ç«ããããšããããšã¯çããªããªããçªãåºããããšãçºçããªãããŸããŸããŸã¡ã
Lv.35äºä»¶ã¯èµ·ãããªãããšããããšã¯ééã£ãŠãã fact6: ããç©çãããšããããšããããã¯çªãåºããããšããŸãã¯ã©ã¡ãããçºçãããšããã°ç©çããããšããããšã¯èµ·ãããªã fact7: ããä»®ã«ãçªãåºããããšãçããªãããã€ãŸããŸã¡ã
Lv.35äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠãããšãããšç©çãããšããããšã¯èµ·ãããªã ; $hypothesis$ = ç©çããããšããããšã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{H} -> ¬(¬{I} & {G}) fact2: ¬(¬{I} & {G}) -> ¬{G} fact3: ¬{G} -> ¬{F} fact4: {A} -> {B} fact5: ¬{F} -> ¬(¬{C} & ¬{E}) fact6: ({B} v {C}) -> ¬{D} fact7: ¬(¬{C} & ¬{E}) -> ¬{B} ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã¡ãLv.16ã¯ãããªã³ã°ããäžæ¹ã§å€ããªã | ({C}{a} & ¬{D}{a}) | fact1: ãããã®ãŽã®ãŽãLv.8ããããªã³ã°ããªããšããããã®ãŽã®ãŽãLv.8ãåãæãããã®äžããã¯è
¹ç«ããã fact2: åãæãã¢ã³ã¹ã¿ãŒã¯éããªããŠãŸãå€èããªã fact3: ãããä»®ã«ãã®ãŽãªãŽã«Lv.11ã¯ã»ããã¢ããããªããªãããã®ãŽãªãŽã«Lv.11ã¯ç§»è¡ãæããŠãŸãå€ãããšããããšã¯èª€ã£ãŠããããšããããšã¯æãç«ã€ fact4: ããã®ããªããLv.96ã¯åãæãããã®äžæ¯ããããšããããšã¯äºå®ãšç°ãªã fact5: ãããã®ã·ãã·ã¡ãLv.16ã¯åãæããšããããšã¯ãªããªãã°ãããã¯ãããªã³ã°ããããŸãå€ããªãããšããããšã¯æãç«ããªã fact6: ä»®ã«ãã®ã·ãã·ã¡ãLv.16ã¯åããªããšããããããã¯åãæããéãè¿ããããšããããšã¯åœã§ãã | fact1: ¬{C}{dn} -> ({A}{dn} & {B}{dn}) fact2: (x): {A}x -> (¬{EC}x & ¬{DL}x) fact3: ¬{GF}{aj} -> ¬({CJ}{aj} & {D}{aj}) fact4: ¬({A}{f} & {IG}{f}) fact5: ¬{A}{a} -> ¬({C}{a} & ¬{D}{a}) fact6: ¬{EQ}{a} -> ¬({A}{a} & {ES}{a}) | [] | [] | ãã®ãŽã®ãŽãLv.8ã¯éããªããŠå€èããªã | (¬{EC}{dn} & ¬{DL}{dn}) | [
"fact7 -> int1: ä»®ã«ãã®ãŽã®ãŽãLv.8ãåãæããšãããšãã®ãŽã®ãŽãLv.8ã¯éããªãããŸãå€èããªã;"
] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãŽã®ãŽãLv.8ããããªã³ã°ããªããšããããã®ãŽã®ãŽãLv.8ãåãæãããã®äžããã¯è
¹ç«ããã fact2: åãæãã¢ã³ã¹ã¿ãŒã¯éããªããŠãŸãå€èããªã fact3: ãããä»®ã«ãã®ãŽãªãŽã«Lv.11ã¯ã»ããã¢ããããªããªãããã®ãŽãªãŽã«Lv.11ã¯ç§»è¡ãæããŠãŸãå€ãããšããããšã¯èª€ã£ãŠããããšããããšã¯æãç«ã€ fact4: ããã®ããªããLv.96ã¯åãæãããã®äžæ¯ããããšããããšã¯äºå®ãšç°ãªã fact5: ãããã®ã·ãã·ã¡ãLv.16ã¯åãæããšããããšã¯ãªããªãã°ãããã¯ãããªã³ã°ããããŸãå€ããªãããšããããšã¯æãç«ããªã fact6: ä»®ã«ãã®ã·ãã·ã¡ãLv.16ã¯åããªããšããããããã¯åãæããéãè¿ããããšããããšã¯åœã§ãã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.16ã¯ãããªã³ã°ããäžæ¹ã§å€ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{C}{dn} -> ({A}{dn} & {B}{dn}) fact2: (x): {A}x -> (¬{EC}x & ¬{DL}x) fact3: ¬{GF}{aj} -> ¬({CJ}{aj} & {D}{aj}) fact4: ¬({A}{f} & {IG}{f}) fact5: ¬{A}{a} -> ¬({C}{a} & ¬{D}{a}) fact6: ¬{EQ}{a} -> ¬({A}{a} & {ES}{a}) ; $hypothesis$ = ({C}{a} & ¬{D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸãLv.48ã¯æ¡å€§çž®å°ããªãããšããããšã¯æ¬åœã | ¬{A}{aa} | fact1: ãã®ãŸããŸãLv.48ã¯å³å€ªããªãäžæ¹ã§ãã€ãã fact2: å³å€ªããªãããã€ããã¢ã³ã¹ã¿ãŒã¯è¡ããæã fact3: ããä»®ã«ãã®ãŸããŸãLv.48ã¯è¡ããæããšãããããã®ãŸããŸãLv.48ã¯æ¡å€§çž®å°ããããšããããšã¯æãç«ã€ fact4: ããã®ãã«ããLv.79ã¯è¡ããæããªãããšããããšã¯çå®ã | fact1: (¬{AA}{aa} & {AB}{aa}) fact2: (x): (¬{AA}x & {AB}x) -> {B}x fact3: {B}{aa} -> {A}{aa} fact4: ¬{B}{hm} | [
"fact2 -> int1: ãããã®ãŸããŸãLv.48ã¯å³å€ªããšããããšã¯ãªãããã€ãããšãããšããã¯è¡ããæã; int1 & fact1 -> int2: ããã®ãŸããŸãLv.48ã¯è¡ããæãããšããããšã¯çå®ã ; int2 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: (¬{AA}{aa} & {AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 & fact3 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŸããŸãLv.48ã¯å³å€ªããªãäžæ¹ã§ãã€ãã fact2: å³å€ªããªãããã€ããã¢ã³ã¹ã¿ãŒã¯è¡ããæã fact3: ããä»®ã«ãã®ãŸããŸãLv.48ã¯è¡ããæããšãããããã®ãŸããŸãLv.48ã¯æ¡å€§çž®å°ããããšããããšã¯æãç«ã€ fact4: ããã®ãã«ããLv.79ã¯è¡ããæããªãããšããããšã¯çå®ã ; $hypothesis$ = ããã®ãŸããŸãLv.48ã¯æ¡å€§çž®å°ããªãããšããããšã¯æ¬åœã ; $proof$ = | fact2 -> int1: ãããã®ãŸããŸãLv.48ã¯å³å€ªããšããããšã¯ãªãããã€ãããšãããšããã¯è¡ããæã; int1 & fact1 -> int2: ããã®ãŸããŸãLv.48ã¯è¡ããæãããšããããšã¯çå®ã ; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{AA}{aa} & {AB}{aa}) fact2: (x): (¬{AA}x & {AB}x) -> {B}x fact3: {B}{aa} -> {A}{aa} fact4: ¬{B}{hm} ; $hypothesis$ = ¬{A}{aa} ; $proof$ = | fact2 -> int1: (¬{AA}{aa} & {AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ããŸãLv.19ã¯åŸ¡èŸããªã | ¬{B}{aa} | fact1: ãããããšããã¢ã³ã¹ã¿ãŒã¯éå°ããªããã©ããã¯ææž¡ãããããšããããšã¯åœã§ãããªãããã¯åŸ¡èŸããšããããšã¯ãªã | fact1: (x): ¬(¬{AA}x & {AB}x) -> ¬{B}x | [
"fact1 -> int1: ããããã®ãŸã«ããŸãLv.19ã¯éå°ããªãäžæ¹ã§ææž¡ãããããšããããšã¯ééãã ãšãããããã¯åŸ¡èŸããªã;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããããšããã¢ã³ã¹ã¿ãŒã¯éå°ããªããã©ããã¯ææž¡ãããããšããããšã¯åœã§ãããªãããã¯åŸ¡èŸããšããããšã¯ãªã ; $hypothesis$ = ãã®ãŸã«ããŸãLv.19ã¯åŸ¡èŸããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{AA}x & {AB}x) -> ¬{B}x ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | åãæããšããããšãçããããããã¯ã€ã¡ãŒãžãæããšããããšãçºçãã | ({C} v {E}) | fact1: ãä»®ã«åãæããšããããšã¯èµ·ãããªããšãããšãåãæããšããããšãèµ·ããããŸãã¯ã€ã¡ãŒãžãæããšããããšãçããããšããããšã¯èª€ãã§ããããšããããšã¯æãç«ã€ fact2: ãããäºç®åããããšãèµ·ããããããåãæããšããããšã¯çºçããªãããšããããšã¯åœã§ãããšããã°åãæããšããããšãçºçãã fact3: åŒè§£ããŸãããšããããšãèµ·ãã fact4: ããœããœãLv.35äºä»¶ããã³äºç®åããããšãèµ·ããããšããããšã¯åŒè§£ããŸãããšããããšã¯çããªããšããããšãåå ã fact5: ãäºç®åããããšãçããããšããããšã¯ç¢ºãã§ãã fact6: äºç®åããããšããã³åŒè§£ããŸãããšããããšãèµ·ãããšãããšåãæããšããããšã¯èµ·ãããªã | fact1: ¬{C} -> ¬({C} v {E}) fact2: ¬({A} & ¬{C}) -> {C} fact3: {B} fact4: ¬{B} -> ({CN} & {A}) fact5: {A} fact6: ({A} & {B}) -> ¬{C} | [
"fact5 & fact3 -> int1: äºç®åããããšããã³åŒè§£ããŸãããšããããšãèµ·ãã; int1 & fact6 -> int2: ãåãæããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ã ; int2 & fact1 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: ({A} & {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact1 -> hypothesis;"
] | åãæããšããããšãçããããããã¯ã€ã¡ãŒãžãæããšããããšãçºçãã | ({C} v {E}) | [] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãä»®ã«åãæããšããããšã¯èµ·ãããªããšãããšãåãæããšããããšãèµ·ããããŸãã¯ã€ã¡ãŒãžãæããšããããšãçããããšããããšã¯èª€ãã§ããããšããããšã¯æãç«ã€ fact2: ãããäºç®åããããšãèµ·ããããããåãæããšããããšã¯çºçããªãããšããããšã¯åœã§ãããšããã°åãæããšããããšãçºçãã fact3: åŒè§£ããŸãããšããããšãèµ·ãã fact4: ããœããœãLv.35äºä»¶ããã³äºç®åããããšãèµ·ããããšããããšã¯åŒè§£ããŸãããšããããšã¯çããªããšããããšãåå ã fact5: ãäºç®åããããšãçããããšããããšã¯ç¢ºãã§ãã fact6: äºç®åããããšããã³åŒè§£ããŸãããšããããšãèµ·ãããšãããšåãæããšããããšã¯èµ·ãããªã ; $hypothesis$ = åãæããšããããšãçããããããã¯ã€ã¡ãŒãžãæããšããããšãçºçãã ; $proof$ = | fact5 & fact3 -> int1: äºç®åããããšããã³åŒè§£ããŸãããšããããšãèµ·ãã; int1 & fact6 -> int2: ãåãæããšããããšã¯èµ·ãããªãããšããããšã¯äºå®ã ; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ¬({C} v {E}) fact2: ¬({A} & ¬{C}) -> {C} fact3: {B} fact4: ¬{B} -> ({CN} & {A}) fact5: {A} fact6: ({A} & {B}) -> ¬{C} ; $hypothesis$ = ({C} v {E}) ; $proof$ = | fact5 & fact3 -> int1: ({A} & {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã«ãLv.97ã¯æºããã | {C}{b} | fact1: ããããã®ãŸããŸã«ãLv.97ã¯é·ãŒããå ããŠåŸ¡åããªãã°ãããã¯æºããããªãããšããããšã¯æãç«ã€ fact2: ãããã®ãŽã«ãŽã¡ã
Lv.89ãæž
ã
ãããªãããããæ€æ¿ãããšããã°ãã®ãŸããŸã«ãLv.97ã¯é·ãŒã fact3: ä»®ã«æ©ãèŸããªãã¢ã³ã¹ã¿ãŒãé»ååãããªãããã¯ä»æããªã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœ¿çšãé£ããªããå ããŠå£ãé£ã fact5: 䜿çšãé£ããªãã¢ã³ã¹ã¿ãŒã¯æ©ãèŸããªãããã©é»ååãã fact6: ä»æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯é·ãŒãããŸãã¯åŸ¡åãããŸãã¯ã©ã¡ããã fact7: ãã®ãŸããŸã«ãLv.97ã¯åŸ¡åã fact8: ãã®ãŽã«ãŽã¡ã
Lv.89ã¯æž
ã
ãããªãããã©æ€æ¿ãã fact9: ãã®ãœã®ãœã«ãLv.68ã¯æºãããããŸãçã¿é£ã | fact1: ({B}{b} & {A}{b}) -> ¬{C}{b} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: (x): (¬{F}x & {E}x) -> ¬{D}x fact4: (x): (¬{G}x & {H}x) fact5: (x): ¬{G}x -> (¬{F}x & {E}x) fact6: (x): ¬{D}x -> ({B}x v {A}x) fact7: {A}{b} fact8: (¬{AA}{a} & {AB}{a}) fact9: ({C}{dn} & {II}{dn}) | [
"fact2 & fact8 -> int1: ãã®ãŸããŸã«ãLv.97ã¯é·ãŒã; int1 & fact7 -> int2: ãã®ãŸããŸã«ãLv.97ã¯é·ãŒãã埡åã; int2 & fact1 -> hypothesis;"
] | [
"fact2 & fact8 -> int1: {B}{b}; int1 & fact7 -> int2: ({B}{b} & {A}{b}); int2 & fact1 -> hypothesis;"
] | ãã®ãŸããŸã«ãLv.97ã¯æºããã | {C}{b} | [
"fact13 -> int3: ä»®ã«ãã®ãŽã«ãŽã¡ã
Lv.89ãä»æããªããªãã°ãã®ãŽã«ãŽã¡ã
Lv.89ã¯é·ãŒãã埡åã; fact11 -> int4: ããããã®ãŽã«ãŽã¡ã
Lv.89ãæ©ãèŸããªãäžæ¹ã§é»ååããã°ä»æããšããããšã¯ãªã; fact12 -> int5: ãããããã®ãŽã«ãŽã¡ã
Lv.89ã¯äœ¿çšãé£ããªãããšããããšã¯äºå®ãªãã°ããã¯æ©ãèŸããªããŠãããããã¯é»ååãã; fact10 -> int6: ãã®ãŽã«ãŽã¡ã
Lv.89ã¯äœ¿çšãé£ããªãããã©å£ãé£ã; int6 -> int7: ãã®ãŽã«ãŽã¡ã
Lv.89ã¯äœ¿çšãé£ããªã; int5 & int7 -> int8: ããã®ãŽã«ãŽã¡ã
Lv.89ã¯æ©ãèŸããªãããã©é»ååããããšããããšã¯äºå®ã§ãã; int4 & int8 -> int9: ãã®ãŽã«ãŽã¡ã
Lv.89ã¯ä»æããªã; int3 & int9 -> int10: ãã®ãŽã«ãŽã¡ã
Lv.89ã¯é·ãŒãããããã¯ããã¯åŸ¡åãããŸãã¯ã©ã¡ããã§ãã;"
] | 6 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸããŸã«ãLv.97ã¯é·ãŒããå ããŠåŸ¡åããªãã°ãããã¯æºããããªãããšããããšã¯æãç«ã€ fact2: ãããã®ãŽã«ãŽã¡ã
Lv.89ãæž
ã
ãããªãããããæ€æ¿ãããšããã°ãã®ãŸããŸã«ãLv.97ã¯é·ãŒã fact3: ä»®ã«æ©ãèŸããªãã¢ã³ã¹ã¿ãŒãé»ååãããªãããã¯ä»æããªã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äœ¿çšãé£ããªããå ããŠå£ãé£ã fact5: 䜿çšãé£ããªãã¢ã³ã¹ã¿ãŒã¯æ©ãèŸããªãããã©é»ååãã fact6: ä»æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯é·ãŒãããŸãã¯åŸ¡åãããŸãã¯ã©ã¡ããã fact7: ãã®ãŸããŸã«ãLv.97ã¯åŸ¡åã fact8: ãã®ãŽã«ãŽã¡ã
Lv.89ã¯æž
ã
ãããªãããã©æ€æ¿ãã fact9: ãã®ãœã®ãœã«ãLv.68ã¯æºãããããŸãçã¿é£ã ; $hypothesis$ = ãã®ãŸããŸã«ãLv.97ã¯æºããã ; $proof$ = | fact2 & fact8 -> int1: ãã®ãŸããŸã«ãLv.97ã¯é·ãŒã; int1 & fact7 -> int2: ãã®ãŸããŸã«ãLv.97ã¯é·ãŒãã埡åã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B}{b} & {A}{b}) -> ¬{C}{b} fact2: (¬{AA}{a} & {AB}{a}) -> {B}{b} fact3: (x): (¬{F}x & {E}x) -> ¬{D}x fact4: (x): (¬{G}x & {H}x) fact5: (x): ¬{G}x -> (¬{F}x & {E}x) fact6: (x): ¬{D}x -> ({B}x v {A}x) fact7: {A}{b} fact8: (¬{AA}{a} & {AB}{a}) fact9: ({C}{dn} & {II}{dn}) ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 & fact8 -> int1: {B}{b}; int1 & fact7 -> int2: ({B}{b} & {A}{b}); int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã«Lv.80ã¯æã¡äžããæããªã | ¬{D}{b} | fact1: ããããã®ãã«ã
ãã¡ã
Lv.80ãèŠããšãããšãã®ãã«ã
ãã¡ã
Lv.80ã¯ãã£é
·ã fact2: ããããã®ãã«ã
ãã¡ã
Lv.80ãå¿ å®å¿ å®ãããšããããã®ãããã«Lv.80ã¯æã¡äžããæã fact3: ãã®ãã«ã
ãã¡ã
Lv.80ã¯èŠã fact4: ãã®ãœããœãLv.68ãèŠããªããšããããã®ãã«ã
ãã¡ã
Lv.80ã¯æã¡äžããæããšããããšã¯ãªããŠããã«ãã£é
·ããªã fact5: ããã®ãã«ã
ãã¡ã
Lv.80ã¯ãã£é
·ãããšããããšã¯ç¢ºãã§ãããªãã°ãã®ãã«ã
ãã¡ã
Lv.80ã¯å¿ å®å¿ å®ãã fact6: ãšããã¢ã³ã¹ã¿ãŒãæã¡äžããæããšããããšã¯ãªããããããã£é
·ããªããªããã®ãããã«Lv.80ã¯æã¡äžããæããªã | fact1: {A}{a} -> {B}{a} fact2: {C}{a} -> {D}{b} fact3: {A}{a} fact4: ¬{A}{c} -> (¬{D}{a} & ¬{B}{a}) fact5: {B}{a} -> {C}{a} fact6: (x): (¬{D}x & ¬{B}x) -> ¬{D}{b} | [
"fact1 & fact3 -> int1: ãã®ãã«ã
ãã¡ã
Lv.80ã¯ãã£é
·ã; int1 & fact5 -> int2: ãã®ãã«ã
ãã¡ã
Lv.80ã¯å¿ å®å¿ å®ãã; int2 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 & fact2 -> hypothesis;"
] | ãã®ãããã«Lv.80ã¯æã¡äžããæããªã | ¬{D}{b} | [] | 8 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãã«ã
ãã¡ã
Lv.80ãèŠããšãããšãã®ãã«ã
ãã¡ã
Lv.80ã¯ãã£é
·ã fact2: ããããã®ãã«ã
ãã¡ã
Lv.80ãå¿ å®å¿ å®ãããšããããã®ãããã«Lv.80ã¯æã¡äžããæã fact3: ãã®ãã«ã
ãã¡ã
Lv.80ã¯èŠã fact4: ãã®ãœããœãLv.68ãèŠããªããšããããã®ãã«ã
ãã¡ã
Lv.80ã¯æã¡äžããæããšããããšã¯ãªããŠããã«ãã£é
·ããªã fact5: ããã®ãã«ã
ãã¡ã
Lv.80ã¯ãã£é
·ãããšããããšã¯ç¢ºãã§ãããªãã°ãã®ãã«ã
ãã¡ã
Lv.80ã¯å¿ å®å¿ å®ãã fact6: ãšããã¢ã³ã¹ã¿ãŒãæã¡äžããæããšããããšã¯ãªããããããã£é
·ããªããªããã®ãããã«Lv.80ã¯æã¡äžããæããªã ; $hypothesis$ = ãã®ãããã«Lv.80ã¯æã¡äžããæããªã ; $proof$ = | fact1 & fact3 -> int1: ãã®ãã«ã
ãã¡ã
Lv.80ã¯ãã£é
·ã; int1 & fact5 -> int2: ãã®ãã«ã
ãã¡ã
Lv.80ã¯å¿ å®å¿ å®ãã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {C}{a} -> {D}{b} fact3: {A}{a} fact4: ¬{A}{c} -> (¬{D}{a} & ¬{B}{a}) fact5: {B}{a} -> {C}{a} fact6: (x): (¬{D}x & ¬{B}x) -> ¬{D}{b} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact1 & fact3 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{a}; int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ããŽã¡ã
Lv.76ã¯çŽ æ©ã | {D}{b} | fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒãé¿ãé£ããšããããã©ããªã fact2: ãããããã®ãŽããŽã®Lv.27ã¯ãã©ããªãããšããããšã¯åã§ãªããšããããã®ãŽããŽã®Lv.27ã¯åºæã fact3: ãã®ãŽããŽã®Lv.27ã¯é¿ãé£ããŠå ããŠãã©ããªã fact4: ãã®ãŽããŽã®Lv.27ãåºæããšãããšãã®ãŽã¡ããŽã¡ã
Lv.76ã¯çŽ æ©ã | fact1: (x): {A}x -> {B}x fact2: {B}{a} -> {C}{a} fact3: ({A}{a} & {B}{a}) fact4: {C}{a} -> {D}{b} | [
"fact3 -> int1: ãã®ãŽããŽã®Lv.27ã¯ãã©ããªã; int1 & fact2 -> int2: ãã®ãŽããŽã®Lv.27ã¯åºæã; int2 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact4 -> hypothesis;"
] | ãã®ãœããœãLv.23ã¯èŸæ°èãã¢ã³ã¹ã¿ãŒã§ãã©ããªã | ({FF}{dq} & {B}{dq}) | [
"fact5 -> int3: ããä»®ã«ããã®ãœããœãLv.23ã¯é¿ãé£ãããšããããšã¯ç¢ºãã§ãããªãã°ããã®ãœããœãLv.23ã¯ãã©ããªãããšããããšã¯ééã£ãŠããªã;"
] | 3 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããªãããã®ã¢ã³ã¹ã¿ãŒãé¿ãé£ããšããããã©ããªã fact2: ãããããã®ãŽããŽã®Lv.27ã¯ãã©ããªãããšããããšã¯åã§ãªããšããããã®ãŽããŽã®Lv.27ã¯åºæã fact3: ãã®ãŽããŽã®Lv.27ã¯é¿ãé£ããŠå ããŠãã©ããªã fact4: ãã®ãŽããŽã®Lv.27ãåºæããšãããšãã®ãŽã¡ããŽã¡ã
Lv.76ã¯çŽ æ©ã ; $hypothesis$ = ãã®ãŽã¡ããŽã¡ã
Lv.76ã¯çŽ æ©ã ; $proof$ = | fact3 -> int1: ãã®ãŽããŽã®Lv.27ã¯ãã©ããªã; int1 & fact2 -> int2: ãã®ãŽããŽã®Lv.27ã¯åºæã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x -> {B}x fact2: {B}{a} -> {C}{a} fact3: ({A}{a} & {B}{a}) fact4: {C}{a} -> {D}{b} ; $hypothesis$ = {D}{b} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããã®ãŸããŸãªLv.25ã¯ä¿¡ãæããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããªã | ¬{D}{c} | fact1: ãã®ãŽããŽã¡ãLv.86ã¯å£å§ãããŠææž¡ããã fact2: ãã®ãŽããŽã¡ãLv.86ã¯ææž¡ããã fact3: ãããã®ãŽããŽã¡ãLv.86ãå£å§ãããšããã°ãã®ãŸããŸãLv.31ã¯é«äŸ¡éãã fact4: ä»®ã«ããã®ãŸããŸãLv.31ã¯é«äŸ¡éããããšããããšã¯äºå®ã§ãããªããã®ãŸããŸãªLv.25ã¯ä¿¡ãæã | fact1: ({A}{a} & {B}{a}) fact2: {B}{a} fact3: {A}{a} -> {C}{b} fact4: {C}{b} -> {D}{c} | [
"fact1 -> int1: ãã®ãŽããŽã¡ãLv.86ã¯å£å§ãã; int1 & fact3 -> int2: ãã®ãŸããŸãLv.31ã¯é«äŸ¡éãã; int2 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact4 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽããŽã¡ãLv.86ã¯å£å§ãããŠææž¡ããã fact2: ãã®ãŽããŽã¡ãLv.86ã¯ææž¡ããã fact3: ãããã®ãŽããŽã¡ãLv.86ãå£å§ãããšããã°ãã®ãŸããŸãLv.31ã¯é«äŸ¡éãã fact4: ä»®ã«ããã®ãŸããŸãLv.31ã¯é«äŸ¡éããããšããããšã¯äºå®ã§ãããªããã®ãŸããŸãªLv.25ã¯ä¿¡ãæã ; $hypothesis$ = ããã®ãŸããŸãªLv.25ã¯ä¿¡ãæããšããããšã¯ãªãããšããããšã¯äºå®ãšç°ãªããªã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽã¡ãLv.86ã¯å£å§ãã; int1 & fact3 -> int2: ãã®ãŸããŸãLv.31ã¯é«äŸ¡éãã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {B}{a} fact3: {A}{a} -> {C}{b} fact4: {C}{b} -> {D}{c} ; $hypothesis$ = ¬{D}{c} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãœããœã¡ãLv.22äºä»¶ã¯èµ·ããªã | ¬{D} | fact1: 売ãé£ããšããããšãçãã fact2: æãé£ããšããããšãšãã¡ãããªLv.24äºä»¶ãèµ·ãã fact3: ãããé¢ä¿æ·±ããšããããšã¯èµ·ãããªããªãã売ãé£ããšããããšã¯çºçããªãäžæ¹ã§ãããã¡ãLv.22äºä»¶ãèµ·ããããšããããšã¯ééãã fact4: ãœããœã¡ãLv.25äºä»¶ãèµ·ãã fact5: ãããã¡ãããªLv.24äºä»¶ãçããªããšãããšãœããœã¡ãLv.22äºä»¶ã¯çºçããããã€æãé£ããšããããšãèµ·ãã fact6: ãæãé£ããšããããšãšå£²ãé£ããšããããšäž¡æ¹ãçããããšããããšã¯ãœããœã¡ãLv.22äºä»¶ãåé¿ãã | fact1: {C} fact2: ({A} & {B}) fact3: ¬{F} -> ¬(¬{C} & {E}) fact4: {IN} fact5: ¬{B} -> ({D} & {A}) fact6: ({A} & {C}) -> ¬{D} | [
"fact2 -> int1: æãé£ããšããããšãçºçãã; int1 & fact1 -> int2: ãæãé£ããšããããšãçããã売ãé£ããšããããšãèµ·ããããšããããšã¯æ¬åœã ; int2 & fact6 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> int2: ({A} & {C}); int2 & fact6 -> hypothesis;"
] | ãœããœã¡ãLv.22äºä»¶ãçºçãã | {D} | [] | 7 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: 売ãé£ããšããããšãçãã fact2: æãé£ããšããããšãšãã¡ãããªLv.24äºä»¶ãèµ·ãã fact3: ãããé¢ä¿æ·±ããšããããšã¯èµ·ãããªããªãã売ãé£ããšããããšã¯çºçããªãäžæ¹ã§ãããã¡ãLv.22äºä»¶ãèµ·ããããšããããšã¯ééãã fact4: ãœããœã¡ãLv.25äºä»¶ãèµ·ãã fact5: ãããã¡ãããªLv.24äºä»¶ãçããªããšãããšãœããœã¡ãLv.22äºä»¶ã¯çºçããããã€æãé£ããšããããšãèµ·ãã fact6: ãæãé£ããšããããšãšå£²ãé£ããšããããšäž¡æ¹ãçããããšããããšã¯ãœããœã¡ãLv.22äºä»¶ãåé¿ãã ; $hypothesis$ = ãœããœã¡ãLv.22äºä»¶ã¯èµ·ããªã ; $proof$ = | fact2 -> int1: æãé£ããšããããšãçºçãã; int1 & fact1 -> int2: ãæãé£ããšããããšãçããã売ãé£ããšããããšãèµ·ããããšããããšã¯æ¬åœã ; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: ({A} & {B}) fact3: ¬{F} -> ¬(¬{C} & {E}) fact4: {IN} fact5: ¬{B} -> ({D} & {A}) fact6: ({A} & {C}) -> ¬{D} ; $hypothesis$ = ¬{D} ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> int2: ({A} & {C}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | 幌ããªããšããããšã¯èµ·ãããªããŠããã«é
ãæããšããããšã¯çºçããªã | (¬{D} & ¬{C}) | fact1: å¿å°è¯ããšããããšã¯é
ãæããšããããšãé²ã fact2: ãé
ãæããšããããšãçããããšããããšã¯ãã±ãã±ãããããšãçããããããã¯å¿å°è¯ããšããããšãçºçããããããã¯äž¡æ¹ãšãã§ããããšããããšã«é²ããã fact3: 幌ããªããšããããšã¯çããªã fact4: ã¿ã¡ãã¿ãLv.14äºä»¶ãçºçããªãããŸããŽã¡ã
ãŽã®Lv.42äºä»¶ã¯çããªã fact5: ã±ãã±ãããããšãèµ·ãã | fact1: {B} -> ¬{C} fact2: ({A} v {B}) -> ¬{C} fact3: ¬{D} fact4: (¬{AE} & ¬{ER}) fact5: {A} | [
"fact5 -> int1: ã±ãã±ãããããšããããã¯å¿å°è¯ããšããããšããããã¯äž¡æ¹ãšããèµ·ãã; int1 & fact2 -> int2: é
ãæããšããããšã¯èµ·ãããªã; int2 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: å¿å°è¯ããšããããšã¯é
ãæããšããããšãé²ã fact2: ãé
ãæããšããããšãçããããšããããšã¯ãã±ãã±ãããããšãçããããããã¯å¿å°è¯ããšããããšãçºçããããããã¯äž¡æ¹ãšãã§ããããšããããšã«é²ããã fact3: 幌ããªããšããããšã¯çããªã fact4: ã¿ã¡ãã¿ãLv.14äºä»¶ãçºçããªãããŸããŽã¡ã
ãŽã®Lv.42äºä»¶ã¯çããªã fact5: ã±ãã±ãããããšãèµ·ãã ; $hypothesis$ = 幌ããªããšããããšã¯èµ·ãããªããŠããã«é
ãæããšããããšã¯çºçããªã ; $proof$ = | fact5 -> int1: ã±ãã±ãããããšããããã¯å¿å°è¯ããšããããšããããã¯äž¡æ¹ãšããèµ·ãã; int1 & fact2 -> int2: é
ãæããšããããšã¯èµ·ãããªã; int2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> ¬{C} fact2: ({A} v {B}) -> ¬{C} fact3: ¬{D} fact4: (¬{AE} & ¬{ER}) fact5: {A} ; $hypothesis$ = (¬{D} & ¬{C}) ; $proof$ = | fact5 -> int1: ({A} v {B}); int1 & fact2 -> int2: ¬{C}; int2 & fact3 -> hypothesis; __PROVED__ |
0.3 | 軜ã
ãããšããããšã¯çããªã | ¬{D} | fact1: ãããœããœãªLv.99äºä»¶ã¯çºçããªãããšããããšã¯äºå®ã ããšããããšã¯åœã fact2: ã¿ã¡ãã¿ã«ãLv.75äºä»¶ãçããããããã¯éããšããããšãèµ·ããããŸãã¯äž¡æ¹ãšããªãã°è»œã
ãããšããããšã¯çããªã fact3: ã¿ã¡ãã¿ãªLv.78äºä»¶ãèµ·ãã fact4: ãœããœãªLv.99äºä»¶ãšéããšããããšã©ã¡ãããèµ·ãã fact5: ãœããœãªLv.99äºä»¶ããã³å¿æ·±ããšããããšãçãã fact6: ããä»®ã«ãéããšããããšã¯çããªãããšããããšã¯æãç«ãŠã°è»œã
ãããšããããšãšãœããœãªLv.99äºä»¶ã©ã¡ãããèµ·ãã | fact1: {A} fact2: ({C} v {B}) -> ¬{D} fact3: {HT} fact4: ({A} & {B}) fact5: ({A} & {GC}) fact6: ¬{B} -> ({D} & {A}) | [
"fact4 -> int1: ãéããšããããšãèµ·ããããšããããšã¯æãç«ã€; int1 -> int2: ã¿ã¡ãã¿ã«ãLv.75äºä»¶ããŸãã¯éããšããããšããããã¯ã©ã¡ãããçãã; int2 & fact2 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact2 -> hypothesis;"
] | 軜ã
ãããšããããšãèµ·ãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããœããœãªLv.99äºä»¶ã¯çºçããªãããšããããšã¯äºå®ã ããšããããšã¯åœã fact2: ã¿ã¡ãã¿ã«ãLv.75äºä»¶ãçããããããã¯éããšããããšãèµ·ããããŸãã¯äž¡æ¹ãšããªãã°è»œã
ãããšããããšã¯çããªã fact3: ã¿ã¡ãã¿ãªLv.78äºä»¶ãèµ·ãã fact4: ãœããœãªLv.99äºä»¶ãšéããšããããšã©ã¡ãããèµ·ãã fact5: ãœããœãªLv.99äºä»¶ããã³å¿æ·±ããšããããšãçãã fact6: ããä»®ã«ãéããšããããšã¯çããªãããšããããšã¯æãç«ãŠã°è»œã
ãããšããããšãšãœããœãªLv.99äºä»¶ã©ã¡ãããèµ·ãã ; $hypothesis$ = 軜ã
ãããšããããšã¯çããªã ; $proof$ = | fact4 -> int1: ãéããšããããšãèµ·ããããšããããšã¯æãç«ã€; int1 -> int2: ã¿ã¡ãã¿ã«ãLv.75äºä»¶ããŸãã¯éããšããããšããããã¯ã©ã¡ãããçãã; int2 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ({C} v {B}) -> ¬{D} fact3: {HT} fact4: ({A} & {B}) fact5: ({A} & {GC}) fact6: ¬{B} -> ({D} & {A}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact4 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.85ã¯ç解ãæããšããããšã¯ãªã | ¬{AB}{aa} | fact1: ãã®ã¿ã¡ãã¿ãLv.85ã¯æå®³è³ åããªã fact2: ãã®ãŸããŸãLv.15ã¯æå®³è³ åãã fact3: ãããã®ãã¡ããã®Lv.62ãå®ããªããæåããªããšããããã®ãŸããŸãLv.15ã¯æåããªã fact4: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãæå®³è³ åããªããšãããæãæããããã¯ç解ãæããªã | fact1: ¬{A}{aa} fact2: {A}{gk} fact3: (¬{C}{a} & ¬{GE}{a}) -> ¬{GE}{gk} fact4: (x): ¬{A}x -> ({AA}x & ¬{AB}x) | [
"fact4 -> int1: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.85ãæå®³è³ åããªããªããããæãæãããã®äžç解ãæããªã; int1 & fact1 -> int2: ãã®ã¿ã¡ãã¿ãLv.85ã¯æãæããã©ç解ãæããªã; int2 -> hypothesis;"
] | [
"fact4 -> int1: ¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> int2: ({AA}{aa} & ¬{AB}{aa}); int2 -> hypothesis;"
] | ãã®ãŸããŸãLv.15ã¯æå®³è³ åãããã©æåãããšããããšã¯ãªã | ({A}{gk} & ¬{GE}{gk}) | [] | 5 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã¡ãã¿ãLv.85ã¯æå®³è³ åããªã fact2: ãã®ãŸããŸãLv.15ã¯æå®³è³ åãã fact3: ãããã®ãã¡ããã®Lv.62ãå®ããªããæåããªããšããããã®ãŸããŸãLv.15ã¯æåããªã fact4: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãæå®³è³ åããªããšãããæãæããããã¯ç解ãæããªã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.85ã¯ç解ãæããšããããšã¯ãªã ; $proof$ = | fact4 -> int1: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.85ãæå®³è³ åããªããªããããæãæãããã®äžç解ãæããªã; int1 & fact1 -> int2: ãã®ã¿ã¡ãã¿ãLv.85ã¯æãæããã©ç解ãæããªã; int2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{aa} fact2: {A}{gk} fact3: (¬{C}{a} & ¬{GE}{a}) -> ¬{GE}{gk} fact4: (x): ¬{A}x -> ({AA}x & ¬{AB}x) ; $hypothesis$ = ¬{AB}{aa} ; $proof$ = | fact4 -> int1: ¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> int2: ({AA}{aa} & ¬{AB}{aa}); int2 -> hypothesis; __PROVED__ |
0.3 | 芪ããšããããšãèµ·ãããèµ€é»ããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãã | ({A} v {C}) | fact1: ããããããšã¯èŠªããšããããšã®åå ãšãªã fact2: å¿ãæããšããããšã¯èµ·ããªããçŠãŸãããšããããšã¯çºçããªãããããã¯äž¡æ¹ã§ãã fact3: å¿ãæããšããããšã¯çºçããªããšããããšããçŠãŸãããšããããšã¯èµ·ããªãããšããããšããããã¯ã©ã¡ããã¯ãããããããšã¯èµ·ãããªãããšããããšãåé¿ãã | fact1: {B} -> {A} fact2: (¬{AA} v ¬{AB}) fact3: (¬{AA} v ¬{AB}) -> {B} | [
"fact3 & fact2 -> int1: ããããããšãçºçãã; int1 & fact1 -> int2: ã芪ããšããããšãçããããšããããšã¯çå®ã ; int2 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}; int1 & fact1 -> int2: {A}; int2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããããããšã¯èŠªããšããããšã®åå ãšãªã fact2: å¿ãæããšããããšã¯èµ·ããªããçŠãŸãããšããããšã¯çºçããªãããããã¯äž¡æ¹ã§ãã fact3: å¿ãæããšããããšã¯çºçããªããšããããšããçŠãŸãããšããããšã¯èµ·ããªãããšããããšããããã¯ã©ã¡ããã¯ãããããããšã¯èµ·ãããªãããšããããšãåé¿ãã ; $hypothesis$ = 芪ããšããããšãèµ·ãããèµ€é»ããšããããšãèµ·ããããããã¯äž¡æ¹ãšãã§ãã ; $proof$ = | fact3 & fact2 -> int1: ããããããšãçºçãã; int1 & fact1 -> int2: ã芪ããšããããšãçããããšããããšã¯çå®ã ; int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {A} fact2: (¬{AA} v ¬{AB}) fact3: (¬{AA} v ¬{AB}) -> {B} ; $hypothesis$ = ({A} v {C}) ; $proof$ = | fact3 & fact2 -> int1: {B}; int1 & fact1 -> int2: {A}; int2 -> hypothesis; __PROVED__ |
0.3 | ä¿ã¡æããšããããšã¯çããªã | ¬{D} | fact1: ãæµåããããšã¯çºçããªãããšããããšã¯ä¿ã¡æããšããããšãšç²ã匷ããšããããšãèµ·ããã«ç¹ãã fact2: æããšããããšããã³çŽ¹ä»ããããšãçºçããã¯ãéŠã°ãããšããããšã¯çããªãããšããããšã«ãããããã fact3: æããšããããšããã³éŠã°ãããšããããšã©ã¡ãããçºçãã fact4: ä¿ã¡æããšããããšã¯çšç¡ããšããããšã«é»æ¢ããã fact5: æã£ãããšããããšãçºçãã fact6: ãæããšããããšãèµ·ããããããã¯çšç¡ããšããããšãçããããããã¯äž¡æ¹ãšãã ããšããããšã¯ä¿ã¡æããšããããšã¯çããªããšããããšãæã | fact1: ¬{F} -> ({D} & {E}) fact2: ¬{B} -> ({A} & {HT}) fact3: ({A} & {B}) fact4: {C} -> ¬{D} fact5: {AN} fact6: ({A} v {C}) -> ¬{D} | [
"fact3 -> int1: æããšããããšãçºçãã; int1 -> int2: æããšããããšãèµ·ããããŸãã¯çšç¡ããšããããšãèµ·ãã; int2 & fact6 -> hypothesis;"
] | [
"fact3 -> int1: {A}; int1 -> int2: ({A} v {C}); int2 & fact6 -> hypothesis;"
] | 玹ä»ããããšãçãã | {HT} | [] | 7 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãæµåããããšã¯çºçããªãããšããããšã¯ä¿ã¡æããšããããšãšç²ã匷ããšããããšãèµ·ããã«ç¹ãã fact2: æããšããããšããã³çŽ¹ä»ããããšãçºçããã¯ãéŠã°ãããšããããšã¯çããªãããšããããšã«ãããããã fact3: æããšããããšããã³éŠã°ãããšããããšã©ã¡ãããçºçãã fact4: ä¿ã¡æããšããããšã¯çšç¡ããšããããšã«é»æ¢ããã fact5: æã£ãããšããããšãçºçãã fact6: ãæããšããããšãèµ·ããããããã¯çšç¡ããšããããšãçããããããã¯äž¡æ¹ãšãã ããšããããšã¯ä¿ã¡æããšããããšã¯çããªããšããããšãæã ; $hypothesis$ = ä¿ã¡æããšããããšã¯çããªã ; $proof$ = | fact3 -> int1: æããšããããšãçºçãã; int1 -> int2: æããšããããšãèµ·ããããŸãã¯çšç¡ããšããããšãèµ·ãã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F} -> ({D} & {E}) fact2: ¬{B} -> ({A} & {HT}) fact3: ({A} & {B}) fact4: {C} -> ¬{D} fact5: {AN} fact6: ({A} v {C}) -> ¬{D} ; $hypothesis$ = ¬{D} ; $proof$ = | fact3 -> int1: {A}; int1 -> int2: ({A} v {C}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã«ãLv.74ã¯èšŽãåºãªã | ¬{C}{b} | fact1: ãã®ãœããœã«Lv.12ã¯èšŽãåºããããã¯è²§ãã fact2: ãã®ãœããœã«Lv.12ãåäŸã£ãœããšããããã®ãœããœã«ãLv.74ã¯èšŽãåºã fact3: ãã®ãœããœã«Lv.12ã¯è²§ãã fact4: ãã®ãœããœã«Lv.12ã¯è²§ãããåäŸã£ãœã fact5: åãé£ããšããããšã¯ãªããŠããã«å³å€ªããªãã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ããšããã¢ã³ã¹ã¿ãŒã¯åãé£ããªããŠããã«å³å€ªããªãããšããããšã¯åã§ãããšããã°å³æ°ãªããªã fact7: ããããã®ãœããœã«Lv.12ã貧ãããªããªããã®ã·ã¡ã
ã·ãLv.62ã¯ããããããããã¯åäŸã£ãœã | fact1: ({C}{a} & {A}{a}) fact2: {B}{a} -> {C}{b} fact3: {A}{a} fact4: ({A}{a} & {B}{a}) fact5: (x): ¬(¬{E}x & ¬{F}x) fact6: (x): ¬(¬{E}x & ¬{F}x) -> ¬{D}x fact7: ¬{A}{a} -> ({EO}{ek} & {B}{ek}) | [
"fact4 -> int1: ãã®ãœããœã«Lv.12ã¯åäŸã£ãœã; int1 & fact2 -> hypothesis;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | ãã®ã·ã¡ã
ã·ãLv.62ã¯ããããããŠãã€åäŸã£ãœã | ({EO}{ek} & {B}{ek}) | [] | 5 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœã«Lv.12ã¯èšŽãåºããããã¯è²§ãã fact2: ãã®ãœããœã«Lv.12ãåäŸã£ãœããšããããã®ãœããœã«ãLv.74ã¯èšŽãåºã fact3: ãã®ãœããœã«Lv.12ã¯è²§ãã fact4: ãã®ãœããœã«Lv.12ã¯è²§ãããåäŸã£ãœã fact5: åãé£ããšããããšã¯ãªããŠããã«å³å€ªããªãã¢ã³ã¹ã¿ãŒã¯ãªã fact6: ããšããã¢ã³ã¹ã¿ãŒã¯åãé£ããªããŠããã«å³å€ªããªãããšããããšã¯åã§ãããšããã°å³æ°ãªããªã fact7: ããããã®ãœããœã«Lv.12ã貧ãããªããªããã®ã·ã¡ã
ã·ãLv.62ã¯ããããããããã¯åäŸã£ãœã ; $hypothesis$ = ãã®ãœããœã«ãLv.74ã¯èšŽãåºãªã ; $proof$ = | fact4 -> int1: ãã®ãœããœã«Lv.12ã¯åäŸã£ãœã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({C}{a} & {A}{a}) fact2: {B}{a} -> {C}{b} fact3: {A}{a} fact4: ({A}{a} & {B}{a}) fact5: (x): ¬(¬{E}x & ¬{F}x) fact6: (x): ¬(¬{E}x & ¬{F}x) -> ¬{D}x fact7: ¬{A}{a} -> ({EO}{ek} & {B}{ek}) ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact4 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãŸããŸã«Lv.56äºä»¶ããã³ã ããç¡ããšããããšã©ã¡ãããèµ·ãã | ({A} & {B}) | fact1: ã·ãªã·ãLv.64äºä»¶ã¯èµ·ãããªããšããããšã¯ãã ããç¡ããšããããšã§ã¯ãªããŠã¿ã®ã¿ã¡ã
Lv.67äºä»¶ãèµ·ããããšããããšãçãããã fact2: ãŸããŸã«Lv.56äºä»¶ãçºçãã fact3: ããããã ããç¡ããšããããšã¯èµ·ãããªãããšããããšã¯æ£ãããªãã°æã¡æããšããããšãšãŸããŸã«Lv.56äºä»¶äž¡æ¹ãèµ·ãã fact4: ããä»®ã«ã¿ã®ã¿ã¡ã
Lv.67äºä»¶ã¯èµ·ããªããšããã°ããŸããŸã«Lv.56äºä»¶ããã³ã ããç¡ããšããããšãèµ·ããããšããããšã¯èª€ã£ãŠãã fact5: ã ããç¡ããšããããšãçãã | fact1: ¬{D} -> (¬{B} & {C}) fact2: {A} fact3: ¬{B} -> ({FF} & {A}) fact4: ¬{C} -> ¬({A} & {B}) fact5: {B} | [
"fact2 -> int1: ãŸããŸã«Lv.56äºä»¶ãçºçãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact5 -> hypothesis;"
] | ãããŸããŸã«Lv.56äºä»¶ããã³ã ããç¡ããšããããšãèµ·ããããšããããšã¯æãç«ããªãããšããããšã¯æ£ãã | ¬({A} & {B}) | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã·ãªã·ãLv.64äºä»¶ã¯èµ·ãããªããšããããšã¯ãã ããç¡ããšããããšã§ã¯ãªããŠã¿ã®ã¿ã¡ã
Lv.67äºä»¶ãèµ·ããããšããããšãçãããã fact2: ãŸããŸã«Lv.56äºä»¶ãçºçãã fact3: ããããã ããç¡ããšããããšã¯èµ·ãããªãããšããããšã¯æ£ãããªãã°æã¡æããšããããšãšãŸããŸã«Lv.56äºä»¶äž¡æ¹ãèµ·ãã fact4: ããä»®ã«ã¿ã®ã¿ã¡ã
Lv.67äºä»¶ã¯èµ·ããªããšããã°ããŸããŸã«Lv.56äºä»¶ããã³ã ããç¡ããšããããšãèµ·ããããšããããšã¯èª€ã£ãŠãã fact5: ã ããç¡ããšããããšãçãã ; $hypothesis$ = ãŸããŸã«Lv.56äºä»¶ããã³ã ããç¡ããšããããšã©ã¡ãããèµ·ãã ; $proof$ = | fact2 -> int1: ãŸããŸã«Lv.56äºä»¶ãçºçãã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{D} -> (¬{B} & {C}) fact2: {A} fact3: ¬{B} -> ({FF} & {A}) fact4: ¬{C} -> ¬({A} & {B}) fact5: {B} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã¡ããŽãLv.55ã¯æºããå§ãã | {B}{c} | fact1: ãã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœã fact2: ããããã®ãããã¡ã
Lv.89ã¯æããããšãããšããã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœãããšããããšã¯çå®ã fact3: ãã®ãããã¡ã
Lv.89ã¯æããã fact4: ããä»®ã«ãã®ãŽã¡ããŽãLv.55ãæããããšããã°ãã®ãããã¡ã
Lv.89ã¯æºããå§ãã fact5: ãããã®ãããã¡ã
Lv.89ãæããããšããããã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœãããããç©çããããªã fact6: ãããã®ã·ãã·ã¡ãLv.31ãè²ã£ãœãããã©ç©çããããªããªãã°ãã®ãŽã¡ããŽãLv.55ã¯æºããå§ãã fact7: ããä»®ã«ãã®ãŽã¡ããŽãLv.55ãç©çããããšãããšãã®ã·ãã·ã¡ãLv.31ã¯æºããå§ããããã©æããããªã | fact1: {AA}{b} fact2: {A}{a} -> {AA}{b} fact3: {A}{a} fact4: {A}{c} -> {B}{a} fact5: {A}{a} -> ({AA}{b} & ¬{AB}{b}) fact6: ({AA}{b} & ¬{AB}{b}) -> {B}{c} fact7: {AB}{c} -> ({B}{b} & ¬{A}{b}) | [
"fact5 & fact3 -> int1: ãã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœããããã¯ç©çããããªã; int1 & fact6 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact6 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœã fact2: ããããã®ãããã¡ã
Lv.89ã¯æããããšãããšããã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœãããšããããšã¯çå®ã fact3: ãã®ãããã¡ã
Lv.89ã¯æããã fact4: ããä»®ã«ãã®ãŽã¡ããŽãLv.55ãæããããšããã°ãã®ãããã¡ã
Lv.89ã¯æºããå§ãã fact5: ãããã®ãããã¡ã
Lv.89ãæããããšããããã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœãããããç©çããããªã fact6: ãããã®ã·ãã·ã¡ãLv.31ãè²ã£ãœãããã©ç©çããããªããªãã°ãã®ãŽã¡ããŽãLv.55ã¯æºããå§ãã fact7: ããä»®ã«ãã®ãŽã¡ããŽãLv.55ãç©çããããšãããšãã®ã·ãã·ã¡ãLv.31ã¯æºããå§ããããã©æããããªã ; $hypothesis$ = ãã®ãŽã¡ããŽãLv.55ã¯æºããå§ãã ; $proof$ = | fact5 & fact3 -> int1: ãã®ã·ãã·ã¡ãLv.31ã¯è²ã£ãœããããã¯ç©çããããªã; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {AA}{b} fact2: {A}{a} -> {AA}{b} fact3: {A}{a} fact4: {A}{c} -> {B}{a} fact5: {A}{a} -> ({AA}{b} & ¬{AB}{b}) fact6: ({AA}{b} & ¬{AB}{b}) -> {B}{c} fact7: {AB}{c} -> ({B}{b} & ¬{A}{b}) ; $hypothesis$ = {B}{c} ; $proof$ = | fact5 & fact3 -> int1: ({AA}{b} & ¬{AB}{b}); int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ãããLv.49ã¯ãã°ãã£ãã | {A}{a} | fact1: ãã®ã·ãã·ãLv.70ã¯åºŠãé£ããªããããŸãã«ææ°åããªã fact2: ããä»®ã«åºŠãé£ããªãã¢ã³ã¹ã¿ãŒãææ°åããªããªãããã¯ç¬ãç¶ãã fact3: ãä»®ã«ãã®ã·ãã·ãLv.70ãç¬ãç¶ããã°ãã®ãã¡ãããLv.49ã¯ãã°ãã£ããããšããããšã¯æãç«ã€ | fact1: (¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): (¬{AA}x & ¬{AB}x) -> {B}x fact3: {B}{aa} -> {A}{a} | [
"fact2 -> int1: ãããã®ã·ãã·ãLv.70ã床ãé£ããªãããã€ãããææ°åããªããšãããç¬ãç¶ãã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.70ã¯ç¬ãç¶ãã; int2 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 & fact3 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ãã·ãLv.70ã¯åºŠãé£ããªããããŸãã«ææ°åããªã fact2: ããä»®ã«åºŠãé£ããªãã¢ã³ã¹ã¿ãŒãææ°åããªããªãããã¯ç¬ãç¶ãã fact3: ãä»®ã«ãã®ã·ãã·ãLv.70ãç¬ãç¶ããã°ãã®ãã¡ãããLv.49ã¯ãã°ãã£ããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ãã¡ãããLv.49ã¯ãã°ãã£ãã ; $proof$ = | fact2 -> int1: ãããã®ã·ãã·ãLv.70ã床ãé£ããªãããã€ãããææ°åããªããšãããç¬ãç¶ãã; int1 & fact1 -> int2: ãã®ã·ãã·ãLv.70ã¯ç¬ãç¶ãã; int2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (¬{AA}{aa} & ¬{AB}{aa}) fact2: (x): (¬{AA}x & ¬{AB}x) -> {B}x fact3: {B}{aa} -> {A}{a} ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãã¡ã
ããLv.89ã¯ææ¡ãæããªã | ¬{C}{b} | fact1: ããããã®ãŽããŽã®Lv.42ãèªå¶åºæ¥ããšããããã®ãã¡ã
ããLv.89ã¯ææ¡ãæã fact2: ãã®ãŽããŽã®Lv.42ã¯èª¿ç¯ãæããªã fact3: ããä»®ã«ãã®ãã¡ã
ããLv.89ã調ç¯ãæããªãã°ãã®ãŽããŽã®Lv.42ã¯ææ¡ãæã fact4: ä»®ã«ãã®ãŽããŽã®Lv.42ãææ¡ãæããšããããã®ãã¡ã
ããLv.89ã¯èªå¶åºæ¥ã fact5: ãããã®ãŽããŽã®Lv.42ã調ç¯ãæããªããšããã°ãã®ãŽããŽã®Lv.42ã¯èªå¶åºæ¥ã fact6: ãã®ã¿ãã¿ã¡ãLv.31ã¯èªå¶åºæ¥ã fact7: ãã®ã¿ãã¿ã«ãLv.31ã¯èª¿ç¯ãæããšããããšã¯ãªã | fact1: {B}{a} -> {C}{b} fact2: ¬{A}{a} fact3: {A}{b} -> {C}{a} fact4: {C}{a} -> {B}{b} fact5: ¬{A}{a} -> {B}{a} fact6: {B}{jd} fact7: ¬{A}{da} | [
"fact5 & fact2 -> int1: ãã®ãŽããŽã®Lv.42ã¯èªå¶åºæ¥ã; int1 & fact1 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãŽããŽã®Lv.42ãèªå¶åºæ¥ããšããããã®ãã¡ã
ããLv.89ã¯ææ¡ãæã fact2: ãã®ãŽããŽã®Lv.42ã¯èª¿ç¯ãæããªã fact3: ããä»®ã«ãã®ãã¡ã
ããLv.89ã調ç¯ãæããªãã°ãã®ãŽããŽã®Lv.42ã¯ææ¡ãæã fact4: ä»®ã«ãã®ãŽããŽã®Lv.42ãææ¡ãæããšããããã®ãã¡ã
ããLv.89ã¯èªå¶åºæ¥ã fact5: ãããã®ãŽããŽã®Lv.42ã調ç¯ãæããªããšããã°ãã®ãŽããŽã®Lv.42ã¯èªå¶åºæ¥ã fact6: ãã®ã¿ãã¿ã¡ãLv.31ã¯èªå¶åºæ¥ã fact7: ãã®ã¿ãã¿ã«ãLv.31ã¯èª¿ç¯ãæããšããããšã¯ãªã ; $hypothesis$ = ãã®ãã¡ã
ããLv.89ã¯ææ¡ãæããªã ; $proof$ = | fact5 & fact2 -> int1: ãã®ãŽããŽã®Lv.42ã¯èªå¶åºæ¥ã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: ¬{A}{a} fact3: {A}{b} -> {C}{a} fact4: {C}{a} -> {B}{b} fact5: ¬{A}{a} -> {B}{a} fact6: {B}{jd} fact7: ¬{A}{da} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact5 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | èµ·ããé£ããšããããšãçãããèç«ããããšããããšãçºçãã | ({B} & {A}) | fact1: èç«ããããšããããšãçãã fact2: ããŸããŸãLv.59äºä»¶ãšèç«ããããšããããšãèµ·ããããšããããšã¯èµ·ããé£ããšããããšã¯çããªããšããããšã«ããçºçãã fact3: ä»®ã«å®æåºæ¥ãããšã¯èµ·ãããªããªãã°ãèµ·ããé£ããšããããšããã³èç«ããããšããããšäž¡æ¹ãèµ·ããããšããããšã¯æãç«ããªã fact4: ã¿ã®ã¿ã«ãLv.78äºä»¶ãçãã | fact1: {A} fact2: ¬{B} -> ({JB} & {A}) fact3: ¬{C} -> ¬({B} & {A}) fact4: {BK} | [
"fact1 -> int1: èç«ããããšããããšãçãã;"
] | [
"fact1 -> int1: {A};"
] | ãŸããŸãLv.59äºä»¶ãçãã | {JB} | [] | 5 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: èç«ããããšããããšãçãã fact2: ããŸããŸãLv.59äºä»¶ãšèç«ããããšããããšãèµ·ããããšããããšã¯èµ·ããé£ããšããããšã¯çããªããšããããšã«ããçºçãã fact3: ä»®ã«å®æåºæ¥ãããšã¯èµ·ãããªããªãã°ãèµ·ããé£ããšããããšããã³èç«ããããšããããšäž¡æ¹ãèµ·ããããšããããšã¯æãç«ããªã fact4: ã¿ã®ã¿ã«ãLv.78äºä»¶ãçãã ; $hypothesis$ = èµ·ããé£ããšããããšãçãããèç«ããããšããããšãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: ¬{B} -> ({JB} & {A}) fact3: ¬{C} -> ¬({B} & {A}) fact4: {BK} ; $hypothesis$ = ({B} & {A}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸã¡ã
Lv.69ã¯çãé£ã | {AA}{a} | fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯è
¹é»ããšããããèããªãããããçãé£ãããšããããšã¯ééã£ãŠãã fact2: ãã®ãŸã¡ããŸã¡ã
Lv.69ã¯ïŒ¯ïŒ¢èããªã fact3: ä»®ã«ããã®ãœããœãLv.16ã¯åããªããã©ããã¯ç¥ç§°ããããšããããšã¯äºå®ãšç°ãªããªããã®ãœããœãLv.16ã¯å·èµä¿åãããšããããšã¯ãªã fact4: ãããã®ãœããœãLv.16ãå·èµä¿åããªããšããã°è
¹é»ãããŸãç¥ç¥·ãã fact5: ãããã®ãŸã¡ããŸã¡ã
Lv.69ãå·èµä¿åããªããšããã°ãã®ãã¡ã
ãã®Lv.33ã¯ïŒ¯ïŒ¢èããããã«ç¥ç¥·ãã fact6: ãããã®ãããã®Lv.0ãçšè¿ããªããšããã°ãã®ãããã®Lv.0ã¯çãé£ããŠæºéç¡ã | fact1: (x): {B}x -> ¬(¬{A}x & {AA}x) fact2: ¬{A}{a} fact3: ¬(¬{F}{b} & {E}{b}) -> ¬{D}{b} fact4: ¬{D}{b} -> ({B}{b} & {C}{b}) fact5: ¬{D}{a} -> ({A}{bt} & {C}{bt}) fact6: ¬{AO}{iu} -> ({AA}{iu} & {FI}{iu}) | [] | [] | ãã®ãã¡ã
ãã®Lv.33ã¯ïŒ¯ïŒ¢èããŠåãæã | ({A}{bt} & {BP}{bt}) | [] | 4 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããšããã¢ã³ã¹ã¿ãŒã¯è
¹é»ããšããããèããªãããããçãé£ãããšããããšã¯ééã£ãŠãã fact2: ãã®ãŸã¡ããŸã¡ã
Lv.69ã¯ïŒ¯ïŒ¢èããªã fact3: ä»®ã«ããã®ãœããœãLv.16ã¯åããªããã©ããã¯ç¥ç§°ããããšããããšã¯äºå®ãšç°ãªããªããã®ãœããœãLv.16ã¯å·èµä¿åãããšããããšã¯ãªã fact4: ãããã®ãœããœãLv.16ãå·èµä¿åããªããšããã°è
¹é»ãããŸãç¥ç¥·ãã fact5: ãããã®ãŸã¡ããŸã¡ã
Lv.69ãå·èµä¿åããªããšããã°ãã®ãã¡ã
ãã®Lv.33ã¯ïŒ¯ïŒ¢èããããã«ç¥ç¥·ãã fact6: ãããã®ãããã®Lv.0ãçšè¿ããªããšããã°ãã®ãããã®Lv.0ã¯çãé£ããŠæºéç¡ã ; $hypothesis$ = ãã®ãŸã¡ããŸã¡ã
Lv.69ã¯çãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {B}x -> ¬(¬{A}x & {AA}x) fact2: ¬{A}{a} fact3: ¬(¬{F}{b} & {E}{b}) -> ¬{D}{b} fact4: ¬{D}{b} -> ({B}{b} & {C}{b}) fact5: ¬{D}{a} -> ({A}{bt} & {C}{bt}) fact6: ¬{AO}{iu} -> ({AA}{iu} & {FI}{iu}) ; $hypothesis$ = {AA}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã®ãŽããŽã®Lv.53ã¯èšè°ããå ããŠå®ãããšããããšã¯æãç«ããªãããšããããšã¯ééãã§ãªã | ¬({C}{a} & {D}{a}) | fact1: ãããããããªãã¢ã³ã¹ã¿ãŒãå²ãåºããªããšããããã®ãŽããŽã®Lv.53ã¯èšè°ã fact2: ããããã¢ã³ã¹ã¿ãŒãããããšãããããã¯å²ãåºãã fact3: ä»®ã«ãã®ãœã¡ã
ãœãLv.33ãããããšããããã®ãŽããŽã®Lv.53ã¯ããã fact4: ãããªãããã®ã¢ã³ã¹ã¿ãŒãèšè°ããã°ããã¯ããã fact5: ãã®ãŽããŽã®Lv.53ã¯å®ã fact6: ãããããªããããã«å²ãåºããªããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact2: (x): {A}x -> {B}x fact3: {A}{b} -> {A}{a} fact4: (x): {C}x -> {A}x fact5: {D}{a} fact6: (Ex): (¬{A}x & ¬{B}x) | [
"fact6 & fact1 -> int1: ãã®ãŽããŽã®Lv.53ã¯èšè°ã; int1 & fact5 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: {C}{a}; int1 & fact5 -> hypothesis;"
] | ãã®ãŽããŽã®Lv.53ã¯å²ãåºãã | {B}{a} | [
"fact7 -> int2: ããä»®ã«ãã®ãŽããŽã®Lv.53ãããããšãããšãã®ãŽããŽã®Lv.53ã¯å²ãåºãã; fact9 -> int3: ä»®ã«ãã®ãœã¡ã
ãœãLv.33ãèšè°ããªãããã;"
] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããããããªãã¢ã³ã¹ã¿ãŒãå²ãåºããªããšããããã®ãŽããŽã®Lv.53ã¯èšè°ã fact2: ããããã¢ã³ã¹ã¿ãŒãããããšãããããã¯å²ãåºãã fact3: ä»®ã«ãã®ãœã¡ã
ãœãLv.33ãããããšããããã®ãŽããŽã®Lv.53ã¯ããã fact4: ãããªãããã®ã¢ã³ã¹ã¿ãŒãèšè°ããã°ããã¯ããã fact5: ãã®ãŽããŽã®Lv.53ã¯å®ã fact6: ãããããªããããã«å²ãåºããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãããã®ãŽããŽã®Lv.53ã¯èšè°ããå ããŠå®ãããšããããšã¯æãç«ããªãããšããããšã¯ééãã§ãªã ; $proof$ = | fact6 & fact1 -> int1: ãã®ãŽããŽã®Lv.53ã¯èšè°ã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact2: (x): {A}x -> {B}x fact3: {A}{b} -> {A}{a} fact4: (x): {C}x -> {A}x fact5: {D}{a} fact6: (Ex): (¬{A}x & ¬{B}x) ; $hypothesis$ = ¬({C}{a} & {D}{a}) ; $proof$ = | fact6 & fact1 -> int1: {C}{a}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã¡ãã¿ãLv.25ã¯çºæ®ãé£ããªããŠæ¢ãæããªã | (¬{B}{a} & ¬{C}{a}) | fact1: ãã®ã¿ã¡ãã¿ãLv.25ã¯å¢ãç¶ãã fact2: ä»®ã«ããã®ãããã«ãLv.91ã¯é£ãããšããããšã¯åã§ãªããšããããçã£ããããªããããã¯æ°ããªãããšããããšã¯ééãã§ãã fact3: ãã®ãŸããŸã«Lv.21ãéè¿ããå¢ãç¶ãããšãããšãã®ãŽãªãŽãLv.78ã¯å¢ãç¶ãããšããããšã¯ãªã fact4: ãä»®ã«ãã®ãŽãªãŽãLv.78ã¯å¢ãç¶ããªããšããã°ããã®ã¿ã¡ãã¿ãLv.25ã¯çºæ®ãé£ããªããããã¯æ¢ãæããšããããšã¯ãªãããšããããšã¯ç¢ºãã ããšããããšã¯æ£ãã fact5: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.25ã¯å¢ãç¶ãããªããçºæ®ãé£ããšããããšã¯ãªããŠãŸãããã¯æ¢ãæããªãããšããããšã¯äºå®ãšç°ãªã | fact1: {A}{a} fact2: {EU}{cr} -> ¬(¬{I}{cr} & ¬{EK}{cr}) fact3: ({E}{c} & {A}{c}) -> ¬{A}{b} fact4: ¬{A}{b} -> (¬{B}{a} & ¬{C}{a}) fact5: {A}{a} -> ¬(¬{B}{a} & ¬{C}{a}) | [
"fact1 -> int1: ãã®ã¿ã¡ãã¿ãLv.25ã¯å¢ãç¶ãã; int1 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact5 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ãLv.25ã¯çºæ®ãé£ããªããŠæ¢ãæããªã | (¬{B}{a} & ¬{C}{a}) | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã¡ãã¿ãLv.25ã¯å¢ãç¶ãã fact2: ä»®ã«ããã®ãããã«ãLv.91ã¯é£ãããšããããšã¯åã§ãªããšããããçã£ããããªããããã¯æ°ããªãããšããããšã¯ééãã§ãã fact3: ãã®ãŸããŸã«Lv.21ãéè¿ããå¢ãç¶ãããšãããšãã®ãŽãªãŽãLv.78ã¯å¢ãç¶ãããšããããšã¯ãªã fact4: ãä»®ã«ãã®ãŽãªãŽãLv.78ã¯å¢ãç¶ããªããšããã°ããã®ã¿ã¡ãã¿ãLv.25ã¯çºæ®ãé£ããªããããã¯æ¢ãæããšããããšã¯ãªãããšããããšã¯ç¢ºãã ããšããããšã¯æ£ãã fact5: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.25ã¯å¢ãç¶ãããªããçºæ®ãé£ããšããããšã¯ãªããŠãŸãããã¯æ¢ãæããªãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ãã®ã¿ã¡ãã¿ãLv.25ã¯çºæ®ãé£ããªããŠæ¢ãæããªã ; $proof$ = | fact1 -> int1: ãã®ã¿ã¡ãã¿ãLv.25ã¯å¢ãç¶ãã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {EU}{cr} -> ¬(¬{I}{cr} & ¬{EK}{cr}) fact3: ({E}{c} & {A}{c}) -> ¬{A}{b} fact4: ¬{A}{b} -> (¬{B}{a} & ¬{C}{a}) fact5: {A}{a} -> ¬(¬{B}{a} & ¬{C}{a}) ; $hypothesis$ = (¬{B}{a} & ¬{C}{a}) ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãŽããŽã®Lv.94äºä»¶ã¯èµ·ããªã | ¬{D} | fact1: ã察å¿ãæããšããããšããã³æãç¶ããããšäž¡æ¹ãçºçããããšããããšã¯ãä¿ã¡æããšããããšã¯èµ·ãããªãããšããããšã«ããçãã fact2: ã·ã¡ãã·ãªLv.10äºä»¶ãçºçãã fact3: æãç¶ããããšãšä¿ã¡æããšããããšãçºçãã fact4: åŸããããšããããšã¯èµ·ãããªããšããããŽããŽã®Lv.94äºä»¶ãçãããã·ãã·ã«ã
Lv.24äºä»¶ãèµ·ãã fact5: ãæãç¶ããããšãèµ·ããããŽããŽã®Lv.94äºä»¶ãèµ·ããããšããããšã¯ãä¿ã¡æããšããããšã¯èµ·ãããªãããšããããšã«ãããããã fact6: ããœãªãœã¡ã
Lv.95äºä»¶ãèµ·ãããªããŠå ããŠã·ã¡ãã·ãLv.75äºä»¶ã¯çºçããªãããšããããšã¯åŸããããšããããšãé²ã | fact1: ¬{B} -> ({EB} & {A}) fact2: {C} fact3: ({A} & {B}) fact4: ¬{F} -> ({D} & {E}) fact5: ¬{B} -> ({A} & {D}) fact6: (¬{G} & ¬{H}) -> ¬{F} | [
"fact3 -> int1: æãç¶ããããšãçºçãã; int1 & fact2 -> int2: æãç¶ããããšããã³ã·ã¡ãã·ãªLv.10äºä»¶ãçºçãã;"
] | [
"fact3 -> int1: {A}; int1 & fact2 -> int2: ({A} & {C});"
] | 察å¿ãæããšããããšãèµ·ãã | {EB} | [] | 8 | 3 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã察å¿ãæããšããããšããã³æãç¶ããããšäž¡æ¹ãçºçããããšããããšã¯ãä¿ã¡æããšããããšã¯èµ·ãããªãããšããããšã«ããçãã fact2: ã·ã¡ãã·ãªLv.10äºä»¶ãçºçãã fact3: æãç¶ããããšãšä¿ã¡æããšããããšãçºçãã fact4: åŸããããšããããšã¯èµ·ãããªããšããããŽããŽã®Lv.94äºä»¶ãçãããã·ãã·ã«ã
Lv.24äºä»¶ãèµ·ãã fact5: ãæãç¶ããããšãèµ·ããããŽããŽã®Lv.94äºä»¶ãèµ·ããããšããããšã¯ãä¿ã¡æããšããããšã¯èµ·ãããªãããšããããšã«ãããããã fact6: ããœãªãœã¡ã
Lv.95äºä»¶ãèµ·ãããªããŠå ããŠã·ã¡ãã·ãLv.75äºä»¶ã¯çºçããªãããšããããšã¯åŸããããšããããšãé²ã ; $hypothesis$ = ãŽããŽã®Lv.94äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} -> ({EB} & {A}) fact2: {C} fact3: ({A} & {B}) fact4: ¬{F} -> ({D} & {E}) fact5: ¬{B} -> ({A} & {D}) fact6: (¬{G} & ¬{H}) -> ¬{F} ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãããã¡ã
Lv.40ã¯æŠæ
ãããªãäžæ¹ã§ç®æãããšããããšã¯æãç«ããªã | ¬(¬{D}{a} & {E}{a}) | fact1: ããä»®ã«ãã®ãããã¡ã
Lv.40ã¯å€±æãããªããæŠæ
ãããããç®æãããšããããšã¯èª€ãã§ãã fact2: ããã®ãããã¡ã
Lv.40ã¯å°é£ãããŠã匱ãããšããããšã¯æãç«ã€ fact3: ä»®ã«ãã®ãŸããŸãLv.61ã¯å°é£ãããšããã°ããã®ãããã¡ãLv.17ã¯æŠæ
ãããšããããšã¯äºå®ã§ãã fact4: ããä»®ã«ãã®ãœã¡ããœãLv.72ã¯åããªãããã®ãœã¡ããœãLv.72ã¯ç©åãŒããªãäžæ¹ã§ããã¯å°é£ããããšããããšã¯èª€ã£ãŠãã fact5: ããããã®ãããã¡ã
Lv.40ã¯å€±æãããšãããšããã®ãããã¡ã
Lv.40ã¯æŠæ
ãããªãäžæ¹ã§ç®æãããšããããšã¯ééã£ãŠãã fact6: ããã®ãããã¡ã
Lv.40ã¯ã匱ãããšããããšã¯æãç«ã€ fact7: ä»®ã«ãã®ãããã¡ã
Lv.40ã¯å°é£ãããšããã°ããã®ãããã¡ã
Lv.40ã¯å€±æããããšããããšã¯çå®ã§ãã | fact1: {C}{a} -> ¬({D}{a} & {E}{a}) fact2: ({A}{a} & {B}{a}) fact3: {A}{b} -> {D}{ir} fact4: {FB}{bs} -> ¬(¬{IQ}{bs} & {A}{bs}) fact5: {C}{a} -> ¬(¬{D}{a} & {E}{a}) fact6: {B}{a} fact7: {A}{a} -> {C}{a} | [
"fact2 -> int1: ãã®ãããã¡ã
Lv.40ã¯å°é£ãã; int1 & fact7 -> int2: ãã®ãããã¡ã
Lv.40ã¯å€±æãã; int2 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact7 -> int2: {C}{a}; int2 & fact5 -> hypothesis;"
] | ãã®ãããã¡ãLv.17ã¯æŠæ
ããããã«ããã¯çãèŸã | ({D}{ir} & {FP}{ir}) | [] | 4 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãããã¡ã
Lv.40ã¯å€±æãããªããæŠæ
ãããããç®æãããšããããšã¯èª€ãã§ãã fact2: ããã®ãããã¡ã
Lv.40ã¯å°é£ãããŠã匱ãããšããããšã¯æãç«ã€ fact3: ä»®ã«ãã®ãŸããŸãLv.61ã¯å°é£ãããšããã°ããã®ãããã¡ãLv.17ã¯æŠæ
ãããšããããšã¯äºå®ã§ãã fact4: ããä»®ã«ãã®ãœã¡ããœãLv.72ã¯åããªãããã®ãœã¡ããœãLv.72ã¯ç©åãŒããªãäžæ¹ã§ããã¯å°é£ããããšããããšã¯èª€ã£ãŠãã fact5: ããããã®ãããã¡ã
Lv.40ã¯å€±æãããšãããšããã®ãããã¡ã
Lv.40ã¯æŠæ
ãããªãäžæ¹ã§ç®æãããšããããšã¯ééã£ãŠãã fact6: ããã®ãããã¡ã
Lv.40ã¯ã匱ãããšããããšã¯æãç«ã€ fact7: ä»®ã«ãã®ãããã¡ã
Lv.40ã¯å°é£ãããšããã°ããã®ãããã¡ã
Lv.40ã¯å€±æããããšããããšã¯çå®ã§ãã ; $hypothesis$ = ããã®ãããã¡ã
Lv.40ã¯æŠæ
ãããªãäžæ¹ã§ç®æãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 -> int1: ãã®ãããã¡ã
Lv.40ã¯å°é£ãã; int1 & fact7 -> int2: ãã®ãããã¡ã
Lv.40ã¯å€±æãã; int2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} -> ¬({D}{a} & {E}{a}) fact2: ({A}{a} & {B}{a}) fact3: {A}{b} -> {D}{ir} fact4: {FB}{bs} -> ¬(¬{IQ}{bs} & {A}{bs}) fact5: {C}{a} -> ¬(¬{D}{a} & {E}{a}) fact6: {B}{a} fact7: {A}{a} -> {C}{a} ; $hypothesis$ = ¬(¬{D}{a} & {E}{a}) ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact7 -> int2: {C}{a}; int2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã¡ãLv.4ã¯æããç¶ãã | {D}{c} | fact1: ãã®ã·ã«ãã·ã¡ã
Lv.89ã¯åçåºæ¥ã fact2: ããããã®ãã¡ã
ããLv.73ã¯æãããªããšããã°ããã®ãœããœãLv.5ã䜿çšãæãããã®äžããã¯è奮ãæãããšããããšã¯èª€ã£ãŠãã fact3: ãããã¢ã³ã¹ã¿ãŒã¯äœ¿çšãæããè奮ãæãããšããããšã¯æãç«ããªããšãããšããã¯ç©ããããªã fact4: ããä»®ã«ãã®ã·ã«ãã·ã¡ã
Lv.89ãåçåºæ¥ããšããã°ãã®ãœããœãLv.5ã¯ããã fact5: ãããã®ãœããœãLv.5ã¯ç©ããããšããã°ããã®ãœããœã¡ãLv.4ã¯æããç¶ããããšããããšã¯æ¬åœã fact6: ããä»®ã«ããã®ãã¡ã
ããLv.73ã¯åå°èŽããåãããšããããšã¯ééããªãã°ãæãããšããããšã¯ãªãããšããããšã¯æ¬åœã fact7: ãããã®ãœããœãLv.5ãããããšãããç©ããã | fact1: {A}{a} fact2: ¬{G}{d} -> ¬({E}{b} & {F}{b}) fact3: (x): ¬({E}x & {F}x) -> ¬{C}x fact4: {A}{a} -> {B}{b} fact5: {C}{b} -> {D}{c} fact6: ¬({H}{d} & {I}{d}) -> ¬{G}{d} fact7: {B}{b} -> {C}{b} | [
"fact4 & fact1 -> int1: ãã®ãœããœãLv.5ã¯ããã; int1 & fact7 -> int2: ãã®ãœããœãLv.5ã¯ç©ããã; int2 & fact5 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: {B}{b}; int1 & fact7 -> int2: {C}{b}; int2 & fact5 -> hypothesis;"
] | ããã®ãœããœã¡ãLv.4ã¯æããç¶ããªãããšããããšã¯çå®ã | ¬{D}{c} | [
"fact8 -> int3: ããã®ãœããœãLv.5ã¯äœ¿çšãæãããããããã¯è奮ãæãããšããããšã¯ééãã ãšããããã®ãœããœãLv.5ã¯ç©ããããªã;"
] | 7 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ãã·ã¡ã
Lv.89ã¯åçåºæ¥ã fact2: ããããã®ãã¡ã
ããLv.73ã¯æãããªããšããã°ããã®ãœããœãLv.5ã䜿çšãæãããã®äžããã¯è奮ãæãããšããããšã¯èª€ã£ãŠãã fact3: ãããã¢ã³ã¹ã¿ãŒã¯äœ¿çšãæããè奮ãæãããšããããšã¯æãç«ããªããšãããšããã¯ç©ããããªã fact4: ããä»®ã«ãã®ã·ã«ãã·ã¡ã
Lv.89ãåçåºæ¥ããšããã°ãã®ãœããœãLv.5ã¯ããã fact5: ãããã®ãœããœãLv.5ã¯ç©ããããšããã°ããã®ãœããœã¡ãLv.4ã¯æããç¶ããããšããããšã¯æ¬åœã fact6: ããä»®ã«ããã®ãã¡ã
ããLv.73ã¯åå°èŽããåãããšããããšã¯ééããªãã°ãæãããšããããšã¯ãªãããšããããšã¯æ¬åœã fact7: ãããã®ãœããœãLv.5ãããããšãããç©ããã ; $hypothesis$ = ãã®ãœããœã¡ãLv.4ã¯æããç¶ãã ; $proof$ = | fact4 & fact1 -> int1: ãã®ãœããœãLv.5ã¯ããã; int1 & fact7 -> int2: ãã®ãœããœãLv.5ã¯ç©ããã; int2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: ¬{G}{d} -> ¬({E}{b} & {F}{b}) fact3: (x): ¬({E}x & {F}x) -> ¬{C}x fact4: {A}{a} -> {B}{b} fact5: {C}{b} -> {D}{c} fact6: ¬({H}{d} & {I}{d}) -> ¬{G}{d} fact7: {B}{b} -> {C}{b} ; $hypothesis$ = {D}{c} ; $proof$ = | fact4 & fact1 -> int1: {B}{b}; int1 & fact7 -> int2: {C}{b}; int2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã«ãããLv.51äºä»¶ã¯èµ·ããªã | ¬{D} | fact1: ã¿ãã¿ãLv.29äºä»¶ãçãã fact2: ããæèäŒã£ãœããšããããšã¯çããªããšããããã«ãããLv.51äºä»¶ãšç©å¯ãããšããããšã©ã¡ãããçãã fact3: ç©å¯ãããšããããšãçºçãããæŽã«æèäŒã£ãœããšããããšãçãã fact4: æªç·ŽããŸãããšããããšãçãã | fact1: {C} fact2: ¬{B} -> ({D} & {A}) fact3: ({A} & {B}) fact4: {DJ} | [
"fact3 -> int1: æèäŒã£ãœããšããããšãèµ·ãã; int1 & fact1 -> int2: æèäŒã£ãœããšããããšãèµ·ãããã¿ãã¿ãLv.29äºä»¶ãçºçãã;"
] | [
"fact3 -> int1: {B}; int1 & fact1 -> int2: ({B} & {C});"
] | ãã«ãããLv.51äºä»¶ãçãã | {D} | [] | 6 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã¿ãã¿ãLv.29äºä»¶ãçãã fact2: ããæèäŒã£ãœããšããããšã¯çããªããšããããã«ãããLv.51äºä»¶ãšç©å¯ãããšããããšã©ã¡ãããçãã fact3: ç©å¯ãããšããããšãçºçãããæŽã«æèäŒã£ãœããšããããšãçãã fact4: æªç·ŽããŸãããšããããšãçãã ; $hypothesis$ = ãã«ãããLv.51äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} fact2: ¬{B} -> ({D} & {A}) fact3: ({A} & {B}) fact4: {DJ} ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã®Lv.79ã¯åæ¥åºæ¥ããæŽã«æŽã¿æã | ({C}{a} & {D}{a}) | fact1: ãã®ã¿ãã¿ã®Lv.79ã¯æŽã¿æã fact2: ãã®ã¿ãã¿ãLv.13ã埡æã¡ããããŸãã¯ééãç¡ããªãããŸãã¯ã©ã¡ãããªããã®ã¿ãã¿ã®Lv.79ã¯åæ¥åºæ¥ã fact3: ããããã¢ã³ã¹ã¿ãŒã¯åŸ¡æã¡ãããããã¯ééãç¡ãããããã¯ã©ã¡ããã§ãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯åŸ¡æã¡ããããŸãã¯ééãç¡ããªã | fact1: {D}{a} fact2: ({A}{aa} v ¬{B}{aa}) -> {C}{a} fact3: (x): ({A}x v {B}x) fact4: (x): ({A}x v ¬{B}x) | [
"fact4 -> int1: ãã®ã¿ãã¿ãLv.13ã¯åŸ¡æã¡ãããééãç¡ããªã; int1 & fact2 -> int2: ãã®ã¿ãã¿ã®Lv.79ã¯åæ¥åºæ¥ã; int2 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: ({A}{aa} v ¬{B}{aa}); int1 & fact2 -> int2: {C}{a}; int2 & fact1 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã¿ãã¿ã®Lv.79ã¯æŽã¿æã fact2: ãã®ã¿ãã¿ãLv.13ã埡æã¡ããããŸãã¯ééãç¡ããªãããŸãã¯ã©ã¡ãããªããã®ã¿ãã¿ã®Lv.79ã¯åæ¥åºæ¥ã fact3: ããããã¢ã³ã¹ã¿ãŒã¯åŸ¡æã¡ãããããã¯ééãç¡ãããããã¯ã©ã¡ããã§ãã fact4: ããããã¢ã³ã¹ã¿ãŒã¯åŸ¡æã¡ããããŸãã¯ééãç¡ããªã ; $hypothesis$ = ãã®ã¿ãã¿ã®Lv.79ã¯åæ¥åºæ¥ããæŽã«æŽã¿æã ; $proof$ = | fact4 -> int1: ãã®ã¿ãã¿ãLv.13ã¯åŸ¡æã¡ãããééãç¡ããªã; int1 & fact2 -> int2: ãã®ã¿ãã¿ã®Lv.79ã¯åæ¥åºæ¥ã; int2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {D}{a} fact2: ({A}{aa} v ¬{B}{aa}) -> {C}{a} fact3: (x): ({A}x v {B}x) fact4: (x): ({A}x v ¬{B}x) ; $hypothesis$ = ({C}{a} & {D}{a}) ; $proof$ = | fact4 -> int1: ({A}{aa} v ¬{B}{aa}); int1 & fact2 -> int2: {C}{a}; int2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãããã«ãLv.99ã¯è²å¥œããªã | ¬{D}{b} | fact1: ãããã®ã·ã«ã
ã·ã¡ã
Lv.70ãæºãŸãæããããããããééç¡ããªããã®ãããã«ãLv.99ã¯è²å¥œããªã fact2: ãã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯ééç¡ã fact3: ãã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯æ£ãããšããããšã¯ãªã fact4: ãã®ãããã«ãLv.99ã¯ééç¡ããªã fact5: ãã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯ç©ºãã fact6: ãã®ããããLv.54ã¯çããªãäžæ¹ã§è²å¥œã fact7: ãããããã®ãããã«ãLv.99ã¯è²å¥œãããããæºãŸãæãããšããããšã¯æ£ãããšããããã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯æ£ãããªã | fact1: ({B}{a} & {C}{a}) -> ¬{D}{b} fact2: {C}{a} fact3: ¬{A}{a} fact4: ¬{C}{b} fact5: {HQ}{a} fact6: (¬{BR}{es} & {D}{es}) fact7: ({D}{b} & {B}{b}) -> ¬{A}{a} | [] | [] | null | null | [] | null | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããã®ã·ã«ã
ã·ã¡ã
Lv.70ãæºãŸãæããããããããééç¡ããªããã®ãããã«ãLv.99ã¯è²å¥œããªã fact2: ãã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯ééç¡ã fact3: ãã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯æ£ãããšããããšã¯ãªã fact4: ãã®ãããã«ãLv.99ã¯ééç¡ããªã fact5: ãã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯ç©ºãã fact6: ãã®ããããLv.54ã¯çããªãäžæ¹ã§è²å¥œã fact7: ãããããã®ãããã«ãLv.99ã¯è²å¥œãããããæºãŸãæãããšããããšã¯æ£ãããšããããã®ã·ã«ã
ã·ã¡ã
Lv.70ã¯æ£ãããªã ; $hypothesis$ = ãã®ãããã«ãLv.99ã¯è²å¥œããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({B}{a} & {C}{a}) -> ¬{D}{b} fact2: {C}{a} fact3: ¬{A}{a} fact4: ¬{C}{b} fact5: {HQ}{a} fact6: (¬{BR}{es} & {D}{es}) fact7: ({D}{b} & {B}{b}) -> ¬{A}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ã
ãŽãLv.46ã¯åŒãåºãæããªã | ¬{A}{a} | fact1: ããããçãæãããŸãã¯éèšãããšããããšã¯ãªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŽã«ã
ãŽãLv.46ã¯åŒãåºãæã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çãæããªã fact3: ããã¢ã³ã¹ã¿ãŒã¯åŒãåºãæããªã fact4: ãã®ãœããœãLv.1ã¯çãæããªã fact5: ã倪ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ããã¯çãæãããããã¯ããã¯éèšããªããäž¡æ¹ãšãã§ãããšããã¢ã³ã¹ã¿ãŒã¯ãªã | fact1: (x): ¬({AA}x v ¬{AB}x) -> {A}{a} fact2: (x): ¬{AA}x fact3: (Ex): ¬{A}x fact4: ¬{AA}{aa} fact5: (Ex): ¬{FQ}x fact6: (x): ¬({AA}x v ¬{AB}x) | [
"fact6 -> int1: ããã®ãœããœãLv.1ã¯çãæãããããã¯éèšããªãããšããããšã¯æãç«ããªã; int1 -> int2: ããçãæãããããã¯éèšããªãããšããããšã¯èª€ãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: ¬({AA}{aa} v ¬{AB}{aa}); int1 -> int2: (Ex): ¬({AA}x v ¬{AB}x); int2 & fact1 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããçãæãããŸãã¯éèšãããšããããšã¯ãªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŽã«ã
ãŽãLv.46ã¯åŒãåºãæã fact2: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çãæããªã fact3: ããã¢ã³ã¹ã¿ãŒã¯åŒãåºãæããªã fact4: ãã®ãœããœãLv.1ã¯çãæããªã fact5: ã倪ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ããã¯çãæãããããã¯ããã¯éèšããªããäž¡æ¹ãšãã§ãããšããã¢ã³ã¹ã¿ãŒã¯ãªã ; $hypothesis$ = ãã®ãŽã«ã
ãŽãLv.46ã¯åŒãåºãæããªã ; $proof$ = | fact6 -> int1: ããã®ãœããœãLv.1ã¯çãæãããããã¯éèšããªãããšããããšã¯æãç«ããªã; int1 -> int2: ããçãæãããããã¯éèšããªãããšããããšã¯èª€ãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬({AA}x v ¬{AB}x) -> {A}{a} fact2: (x): ¬{AA}x fact3: (Ex): ¬{A}x fact4: ¬{AA}{aa} fact5: (Ex): ¬{FQ}x fact6: (x): ¬({AA}x v ¬{AB}x) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact6 -> int1: ¬({AA}{aa} v ¬{AB}{aa}); int1 -> int2: (Ex): ¬({AA}x v ¬{AB}x); int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ã¡ãLv.17ã¯äœã¿æããããŸãã«æãé£ã | ({A}{a} & {C}{a}) | fact1: ã€ããªããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯äœã¿æããŠæšãããã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ã€ããªããšããããšã¯ãªããªããããã¯äœã¿æããŠãŸãããã¯æãé£ãããšããããšã¯èª€ãã fact3: ãã®ã·ãã·ã¡ãLv.17ã¯æãé£ã | fact1: (x): ¬{B}x -> ({A}x & {EP}x) fact2: (x): ¬{B}x -> ¬({A}x & {C}x) fact3: {C}{a} | [] | [] | ããã®ã·ãã·ã¡ãLv.17ã¯äœã¿æããŠãŸãæãé£ãããšããããšã¯ç¢ºãã§ãªã | ¬({A}{a} & {C}{a}) | [
"fact4 -> int1: ãã®ã·ãã·ã¡ãLv.17ã¯ã€ããªããªããšããããäœã¿æããŠæãé£ãããšããããšã¯åã ;"
] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã€ããªããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯äœã¿æããŠæšãããã fact2: ããããã¢ã³ã¹ã¿ãŒã¯ã€ããªããšããããšã¯ãªããªããããã¯äœã¿æããŠãŸãããã¯æãé£ãããšããããšã¯èª€ãã fact3: ãã®ã·ãã·ã¡ãLv.17ã¯æãé£ã ; $hypothesis$ = ãã®ã·ãã·ã¡ãLv.17ã¯äœã¿æããããŸãã«æãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{B}x -> ({A}x & {EP}x) fact2: (x): ¬{B}x -> ¬({A}x & {C}x) fact3: {C}{a} ; $hypothesis$ = ({A}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœããœã«ãLv.28ã¯èŠæç¡ãããšããããšã¯äºå®ã | {D}{c} | fact1: ããããšããã¢ã³ã¹ã¿ãŒãåãåãããããããã¯åè³€èŠããªãããããã¯äž¡æ¹ãªãã°ããã¯èŠæç¡ããªã fact2: ãã®ããããªLv.96ã¯åè³€èŠãã fact3: ããä»®ã«ãã®ããããªLv.96ãåè³€èŠãããªããã®ãŽãªãŽã«Lv.44ã¯åãåããã fact4: ä»®ã«ãã®ãœããœã«ãLv.28ãçãé£ããªãã°ãã®ãœããœã«ãLv.28ã¯èŠæç¡ã fact5: ããä»®ã«ãã®ãŽãªãŽã«Lv.44ãåãåããããªããã®ãœããœã«ãLv.28ã¯çãé£ã | fact1: (x): ({B}x v ¬{A}x) -> ¬{D}x fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: {C}{c} -> {D}{c} fact5: {B}{b} -> {C}{c} | [
"fact3 & fact2 -> int1: ãã®ãŽãªãŽã«Lv.44ã¯åãåããã; int1 & fact5 -> int2: ãã®ãœããœã«ãLv.28ã¯çãé£ã; int2 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{b}; int1 & fact5 -> int2: {C}{c}; int2 & fact4 -> hypothesis;"
] | ãã®ãœããœã«ãLv.28ã¯èŠæç¡ããªã | ¬{D}{c} | [
"fact6 -> int3: ä»®ã«ãã®ãœããœã«ãLv.28ãåãåããããåè³€èŠãããšããããšã¯ãªããäž¡æ¹ãšãã ãšããã°ãã®ãœããœã«ãLv.28ã¯èŠæç¡ããªã;"
] | 7 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããšããã¢ã³ã¹ã¿ãŒãåãåãããããããã¯åè³€èŠããªãããããã¯äž¡æ¹ãªãã°ããã¯èŠæç¡ããªã fact2: ãã®ããããªLv.96ã¯åè³€èŠãã fact3: ããä»®ã«ãã®ããããªLv.96ãåè³€èŠãããªããã®ãŽãªãŽã«Lv.44ã¯åãåããã fact4: ä»®ã«ãã®ãœããœã«ãLv.28ãçãé£ããªãã°ãã®ãœããœã«ãLv.28ã¯èŠæç¡ã fact5: ããä»®ã«ãã®ãŽãªãŽã«Lv.44ãåãåããããªããã®ãœããœã«ãLv.28ã¯çãé£ã ; $hypothesis$ = ããã®ãœããœã«ãLv.28ã¯èŠæç¡ãããšããããšã¯äºå®ã ; $proof$ = | fact3 & fact2 -> int1: ãã®ãŽãªãŽã«Lv.44ã¯åãåããã; int1 & fact5 -> int2: ãã®ãœããœã«ãLv.28ã¯çãé£ã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({B}x v ¬{A}x) -> ¬{D}x fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: {C}{c} -> {D}{c} fact5: {B}{b} -> {C}{c} ; $hypothesis$ = {D}{c} ; $proof$ = | fact3 & fact2 -> int1: {B}{b}; int1 & fact5 -> int2: {C}{c}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãå¥é¢ãé£ããšããããšã¯èµ·ãããªããã©ãŽããŽã¡ã
Lv.23äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã | ¬(¬{C} & {D}) | fact1: ãœããœã®Lv.86äºä»¶ãèµ·ãã fact2: ãã¿ãã¿ã¡ãLv.88äºä»¶ã¯çããªãããšããããšã¯ããœããœã®Lv.86äºä»¶ãèµ·ããã眹ãæããšããããšã¯çºçããªãããšããããšã«ãããããã fact3: ãå¥é¢ãé£ããšããããšã¯çããªãããšããããšã¯çœ¹ãæããšããããšãšãœããœã®Lv.86äºä»¶ãçããã«ããçãã fact4: ããœããœã¡ãLv.55äºä»¶ã¯èµ·ãããªãããšããããšã¯ãã·ãã·ã¡ã
Lv.15äºä»¶ã¯èµ·ãããªãããšããããšããããã¯ããœããœã¡ãLv.55äºä»¶ã¯çããªãããšããããšã«ç±æ¥ãã fact5: ãœããœã¡ãLv.55äºä»¶ã¯èµ·ãããªããšããããšã¯ãå¥é¢ãé£ããšããããšããã³ãŽããŽã¡ã
Lv.23äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã«åž°çµãã fact6: 眹ãæããšããããšãèµ·ãã fact7: ãŽããŽã¡ã
Lv.23äºä»¶ãçºçãã | fact1: {B} fact2: ({B} & ¬{A}) -> ¬{CK} fact3: ({A} & {B}) -> ¬{C} fact4: (¬{G} v ¬{E}) -> ¬{E} fact5: ¬{E} -> ({C} & {D}) fact6: {A} fact7: {D} | [
"fact6 & fact1 -> int1: 眹ãæããšããããšãšãœããœã®Lv.86äºä»¶ã©ã¡ãããçãã; int1 & fact3 -> int2: å¥é¢ãé£ããšããããšã¯èµ·ãããªã; int2 & fact7 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact7 -> hypothesis;"
] | ã¿ãã¿ã¡ãLv.88äºä»¶ã¯èµ·ããªã | ¬{CK} | [] | 8 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœããœã®Lv.86äºä»¶ãèµ·ãã fact2: ãã¿ãã¿ã¡ãLv.88äºä»¶ã¯çããªãããšããããšã¯ããœããœã®Lv.86äºä»¶ãèµ·ããã眹ãæããšããããšã¯çºçããªãããšããããšã«ãããããã fact3: ãå¥é¢ãé£ããšããããšã¯çããªãããšããããšã¯çœ¹ãæããšããããšãšãœããœã®Lv.86äºä»¶ãçããã«ããçãã fact4: ããœããœã¡ãLv.55äºä»¶ã¯èµ·ãããªãããšããããšã¯ãã·ãã·ã¡ã
Lv.15äºä»¶ã¯èµ·ãããªãããšããããšããããã¯ããœããœã¡ãLv.55äºä»¶ã¯çããªãããšããããšã«ç±æ¥ãã fact5: ãœããœã¡ãLv.55äºä»¶ã¯èµ·ãããªããšããããšã¯ãå¥é¢ãé£ããšããããšããã³ãŽããŽã¡ã
Lv.23äºä»¶äž¡æ¹ãšããèµ·ããããšããããšã«åž°çµãã fact6: 眹ãæããšããããšãèµ·ãã fact7: ãŽããŽã¡ã
Lv.23äºä»¶ãçºçãã ; $hypothesis$ = ãå¥é¢ãé£ããšããããšã¯èµ·ãããªããã©ãŽããŽã¡ã
Lv.23äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã ; $proof$ = | fact6 & fact1 -> int1: 眹ãæããšããããšãšãœããœã®Lv.86äºä»¶ã©ã¡ãããçãã; int1 & fact3 -> int2: å¥é¢ãé£ããšããããšã¯èµ·ãããªã; int2 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: ({B} & ¬{A}) -> ¬{CK} fact3: ({A} & {B}) -> ¬{C} fact4: (¬{G} v ¬{E}) -> ¬{E} fact5: ¬{E} -> ({C} & {D}) fact6: {A} fact7: {D} ; $hypothesis$ = ¬(¬{C} & {D}) ; $proof$ = | fact6 & fact1 -> int1: ({A} & {B}); int1 & fact3 -> int2: ¬{C}; int2 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãŽã®ãŽã®Lv.41äºä»¶ã¯çºçããªã | ¬{D} | fact1: ä»®ã«ã·ãã·ã«ãLv.85äºä»¶ããŸãã¯ãŽã«ãŽãLv.85äºä»¶ããããã¯äž¡æ¹ãšããçãããšããããŽã®ãŽã®Lv.41äºä»¶ã¯èµ·ããªã fact2: ãããå¿å°è¯ããšããããšã¯èµ·ããªããšããããŽã®ãŽã®Lv.41äºä»¶ããã³ãŽã«ãŽãLv.85äºä»¶äž¡æ¹ãšããçºçãã fact3: ä»®ã«åŸ¡åºããšããããšããã³ã·ãã·ã«ãLv.85äºä»¶ãçãããšãããå¿å°è¯ããšããããšã¯çããªã fact4: ãŽã«ãŽãLv.85äºä»¶ããã³å¿å°è¯ããšããããšäž¡æ¹ãšããçãã | fact1: ({C} v {A}) -> ¬{D} fact2: ¬{B} -> ({D} & {A}) fact3: ({E} & {C}) -> ¬{B} fact4: ({A} & {B}) | [
"fact4 -> int1: ããŽã«ãŽãLv.85äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ; int1 -> int2: ã·ãã·ã«ãLv.85äºä»¶ããããã¯ãŽã«ãŽãLv.85äºä»¶ããŸãã¯ã©ã¡ãããçãã; int2 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {A}; int1 -> int2: ({C} v {A}); int2 & fact1 -> hypothesis;"
] | ãŽã®ãŽã®Lv.41äºä»¶ãçºçãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ã·ãã·ã«ãLv.85äºä»¶ããŸãã¯ãŽã«ãŽãLv.85äºä»¶ããããã¯äž¡æ¹ãšããçãããšããããŽã®ãŽã®Lv.41äºä»¶ã¯èµ·ããªã fact2: ãããå¿å°è¯ããšããããšã¯èµ·ããªããšããããŽã®ãŽã®Lv.41äºä»¶ããã³ãŽã«ãŽãLv.85äºä»¶äž¡æ¹ãšããçºçãã fact3: ä»®ã«åŸ¡åºããšããããšããã³ã·ãã·ã«ãLv.85äºä»¶ãçãããšãããå¿å°è¯ããšããããšã¯çããªã fact4: ãŽã«ãŽãLv.85äºä»¶ããã³å¿å°è¯ããšããããšäž¡æ¹ãšããçãã ; $hypothesis$ = ãŽã®ãŽã®Lv.41äºä»¶ã¯çºçããªã ; $proof$ = | fact4 -> int1: ããŽã«ãŽãLv.85äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ; int1 -> int2: ã·ãã·ã«ãLv.85äºä»¶ããããã¯ãŽã«ãŽãLv.85äºä»¶ããŸãã¯ã©ã¡ãããçãã; int2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({C} v {A}) -> ¬{D} fact2: ¬{B} -> ({D} & {A}) fact3: ({E} & {C}) -> ¬{B} fact4: ({A} & {B}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact4 -> int1: {A}; int1 -> int2: ({C} v {A}); int2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãããã«ãLv.54ã¯ã¢ã¯ã»ã¹ãæããªã | ¬{A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯åã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¢ã¯ã»ã¹ãæã fact3: ãããããã®ã¿ãã¿ãLv.6ã¯åå©ããã調ç¯ãæãããšããããšã¯æãç«ããªããšããããã®ã¿ãã¿ãLv.6ã¯ãã¿ããªã fact4: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãããããã©ã¢ã¯ã»ã¹ãæããšããããšã¯ãªããªãã°ããã¯çŽ 人ã£ãœã | fact1: (x): {IG}x fact2: (x): {A}x fact3: ¬({D}{b} & {E}{b}) -> ¬{C}{b} fact4: (x): ({B}x & ¬{A}x) -> {JC}x | [
"fact2 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¢ã¯ã»ã¹ãæã; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãããã«ãLv.54ã¯ã¢ã¯ã»ã¹ãæããªã | ¬{A}{a} | [] | 8 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯åã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¢ã¯ã»ã¹ãæã fact3: ãããããã®ã¿ãã¿ãLv.6ã¯åå©ããã調ç¯ãæãããšããããšã¯æãç«ããªããšããããã®ã¿ãã¿ãLv.6ã¯ãã¿ããªã fact4: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ¥ãããããã©ã¢ã¯ã»ã¹ãæããšããããšã¯ãªããªãã°ããã¯çŽ 人ã£ãœã ; $hypothesis$ = ãã®ãããã«ãLv.54ã¯ã¢ã¯ã»ã¹ãæããªã ; $proof$ = | fact2 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ã¢ã¯ã»ã¹ãæã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {IG}x fact2: (x): {A}x fact3: ¬({D}{b} & {E}{b}) -> ¬{C}{b} fact4: (x): ({B}x & ¬{A}x) -> {JC}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ããŽãLv.57ã¯èº«åãåºæ¥ã | {C}{b} | fact1: ãã®ãŸã«ããŸãLv.88ã¯çŽ æŽãã fact2: ãã®ãŽã¡ããŽãLv.57ã¯çŽ æŽãã fact3: ããä»®ã«ãã®ãŸã«ããŸãLv.88ã¯æž
ã
ãããšãããšããã®ãŽã¡ããŽãLv.57ã¯èº«åãåºæ¥ãããšããããšã¯æãç«ã€ | fact1: {A}{a} fact2: {A}{b} fact3: {B}{a} -> {C}{b} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŸã«ããŸãLv.88ã¯çŽ æŽãã fact2: ãã®ãŽã¡ããŽãLv.57ã¯çŽ æŽãã fact3: ããä»®ã«ãã®ãŸã«ããŸãLv.88ã¯æž
ã
ãããšãããšããã®ãŽã¡ããŽãLv.57ã¯èº«åãåºæ¥ãããšããããšã¯æãç«ã€ ; $hypothesis$ = ãã®ãŽã¡ããŽãLv.57ã¯èº«åãåºæ¥ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {A}{b} fact3: {B}{a} -> {C}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãããã®Lv.77ã¯å¯ã
ãã | {E}{c} | fact1: ãã®ãŽããŽãLv.90ã¯èµ°ãæãããŸãåã fact2: ããä»®ã«ãã®ãŽããŽãLv.90ã¯èµ°ãæããªããããã®ã¿ãã¿ã«ãLv.51ã¯ééåºæ¥ããšããããšã¯ãªããŠãããããã¯ã¢ã¯ã»ã¹ãæããªãããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã fact3: ããããã®ã¿ãã¿ã«ãLv.51ã¯ééåºæ¥ãªããå ããŠã¢ã¯ã»ã¹ãæããªãããšããããšã¯æãç«ããªããšãããšãã®ãããã®Lv.77ã¯å¯ã
ãããšããããšã¯ãªã fact4: ãããããã¢ã³ã¹ã¿ãŒãåããªããªãããã¯å¯ã
ãããŠãŸãèµ°ãæã fact5: ããã¢ã³ã¹ã¿ãŒãééåºæ¥ãªããŠãããã¢ã¯ã»ã¹ãæããšããããšã¯ãªããªãããã¯åããªã | fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> ¬(¬{C}{b} & ¬{D}{b}) fact3: ¬(¬{C}{b} & ¬{D}{b}) -> ¬{E}{c} fact4: (x): ¬{B}x -> ({E}x & {A}x) fact5: (x): (¬{C}x & ¬{D}x) -> ¬{B}x | [
"fact1 -> int1: ãã®ãŽããŽãLv.90ã¯èµ°ãæã; int1 & fact2 -> int2: ããã®ã¿ãã¿ã«ãLv.51ã¯ééåºæ¥ããšããããšã¯ãªããŠæŽã«ã¢ã¯ã»ã¹ãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int2 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> int2: ¬(¬{C}{b} & ¬{D}{b}); int2 & fact3 -> hypothesis;"
] | ãã®ã·ãã·ã¡ã
Lv.84ã¯å¯ã
ãã | {E}{fd} | [
"fact7 -> int3: ããä»®ã«ãã®ã·ãã·ã¡ã
Lv.84ãåããªããªããã®ã·ãã·ã¡ã
Lv.84ã¯å¯ã
ãããŠå ããŠèµ°ãæã; fact6 -> int4: ä»®ã«ãã®ã·ãã·ã¡ã
Lv.84ãééåºæ¥ãªããããŸãã«ã¢ã¯ã»ã¹ãæããšããããšã¯ãªããšããã°ããã®ã·ãã·ã¡ã
Lv.84ã¯åããšããããšã¯ãªãããšããããšã¯æãç«ã€;"
] | 5 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽããŽãLv.90ã¯èµ°ãæãããŸãåã fact2: ããä»®ã«ãã®ãŽããŽãLv.90ã¯èµ°ãæããªããããã®ã¿ãã¿ã«ãLv.51ã¯ééåºæ¥ããšããããšã¯ãªããŠãããããã¯ã¢ã¯ã»ã¹ãæããªãããšããããšã¯ç¢ºãã§ãããšããããšã¯ãªãããšããããšã¯æ¬åœã§ãã fact3: ããããã®ã¿ãã¿ã«ãLv.51ã¯ééåºæ¥ãªããå ããŠã¢ã¯ã»ã¹ãæããªãããšããããšã¯æãç«ããªããšãããšãã®ãããã®Lv.77ã¯å¯ã
ãããšããããšã¯ãªã fact4: ãããããã¢ã³ã¹ã¿ãŒãåããªããªãããã¯å¯ã
ãããŠãŸãèµ°ãæã fact5: ããã¢ã³ã¹ã¿ãŒãééåºæ¥ãªããŠãããã¢ã¯ã»ã¹ãæããšããããšã¯ãªããªãããã¯åããªã ; $hypothesis$ = ãã®ãããã®Lv.77ã¯å¯ã
ãã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽãLv.90ã¯èµ°ãæã; int1 & fact2 -> int2: ããã®ã¿ãã¿ã«ãLv.51ã¯ééåºæ¥ããšããããšã¯ãªããŠæŽã«ã¢ã¯ã»ã¹ãæããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> ¬(¬{C}{b} & ¬{D}{b}) fact3: ¬(¬{C}{b} & ¬{D}{b}) -> ¬{E}{c} fact4: (x): ¬{B}x -> ({E}x & {A}x) fact5: (x): (¬{C}x & ¬{D}x) -> ¬{B}x ; $hypothesis$ = {E}{c} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> int2: ¬(¬{C}{b} & ¬{D}{b}); int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã¡ãLv.95ã¯ç²é«ããªã | ¬{C}{d} | fact1: ãã®ããããLv.4ã¯èãåãæããšããããšã¯ãªããã©å
ãé£ã fact2: ãããã®ã·ãã·ã«Lv.96ã銎ã銎ããããªããã®ã¿ãã¿ãLv.40ã¯ãèŸã fact3: ããä»®ã«ãã®ããããLv.4ãèãåãæããªããå
ãé£ããšãããšããã®ã·ãã·ã«Lv.96ã¯éŠŽã銎ãããããšããããšã¯ééãã§ãªã | fact1: (¬{AA}{a} & {AB}{a}) fact2: {B}{b} -> {A}{c} fact3: (¬{AA}{a} & {AB}{a}) -> {B}{b} | [
"fact3 & fact1 -> int1: ãã®ã·ãã·ã«Lv.96ã¯éŠŽã銎ããã; int1 & fact2 -> int2: ãã®ã¿ãã¿ãLv.40ã¯ãèŸã;"
] | [
"fact3 & fact1 -> int1: {B}{b}; int1 & fact2 -> int2: {A}{c};"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ããããLv.4ã¯èãåãæããšããããšã¯ãªããã©å
ãé£ã fact2: ãããã®ã·ãã·ã«Lv.96ã銎ã銎ããããªããã®ã¿ãã¿ãLv.40ã¯ãèŸã fact3: ããä»®ã«ãã®ããããLv.4ãèãåãæããªããå
ãé£ããšãããšããã®ã·ãã·ã«Lv.96ã¯éŠŽã銎ãããããšããããšã¯ééãã§ãªã ; $hypothesis$ = ãã®ãããã¡ãLv.95ã¯ç²é«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{a} & {AB}{a}) fact2: {B}{b} -> {A}{c} fact3: (¬{AA}{a} & {AB}{a}) -> {B}{b} ; $hypothesis$ = ¬{C}{d} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ãã·ãLv.44äºä»¶ã¯èµ·ãããªã | ¬{C} | fact1: ä»®ã«ãœããœãªLv.56äºä»¶ãçºçãããªãã瀺çŸããããšãçºçããªããã©ã·ãã·ãLv.44äºä»¶ã¯çºçããããšããããšã¯æ¬åœã ãšããããšã¯ãªã fact2: ã·ãã·ãLv.44äºä»¶ã¯ç€ºçŸããããšã«ããçºçãã fact3: ãœããœãªLv.56äºä»¶ããã³ç€ºçŸããããšäž¡æ¹ãšããçºçãã | fact1: {A} -> ¬(¬{B} & {C}) fact2: {B} -> {C} fact3: ({A} & {B}) | [
"fact3 -> int1: 瀺çŸããããšãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ã·ãã·ãLv.44äºä»¶ã¯èµ·ãããªã | ¬{C} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãœããœãªLv.56äºä»¶ãçºçãããªãã瀺çŸããããšãçºçããªããã©ã·ãã·ãLv.44äºä»¶ã¯çºçããããšããããšã¯æ¬åœã ãšããããšã¯ãªã fact2: ã·ãã·ãLv.44äºä»¶ã¯ç€ºçŸããããšã«ããçºçãã fact3: ãœããœãªLv.56äºä»¶ããã³ç€ºçŸããããšäž¡æ¹ãšããçºçãã ; $hypothesis$ = ã·ãã·ãLv.44äºä»¶ã¯èµ·ãããªã ; $proof$ = | fact3 -> int1: 瀺çŸããããšãèµ·ãã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> ¬(¬{B} & {C}) fact2: {B} -> {C} fact3: ({A} & {B}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.19ã¯ãã£ããããŠããŸãã«èš±ãé£ã | ({C}{b} & {D}{b}) | fact1: ããä»®ã«ãã®ãŽããŽãLv.95ãé å¿ãæããšããã°ãã®ã¿ãã¿ãLv.19ã¯å³ã
ãã fact2: ãã®ã¿ãã¿ãLv.19ã¯èš±ãé£ã fact3: ãã®ãŽããŽãLv.95ã¯é å¿ãæã | fact1: {A}{a} -> {B}{b} fact2: {D}{b} fact3: {A}{a} | [
"fact1 & fact3 -> int1: ãã®ã¿ãã¿ãLv.19ã¯å³ã
ãã;"
] | [
"fact1 & fact3 -> int1: {B}{b};"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.95ãé å¿ãæããšããã°ãã®ã¿ãã¿ãLv.19ã¯å³ã
ãã fact2: ãã®ã¿ãã¿ãLv.19ã¯èš±ãé£ã fact3: ãã®ãŽããŽãLv.95ã¯é å¿ãæã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.19ã¯ãã£ããããŠããŸãã«èš±ãé£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {D}{b} fact3: {A}{a} ; $hypothesis$ = ({C}{b} & {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãã¡ãããLv.13ã¯å¿ãããšããããšã¯æãç«ã€ | {AA}{aa} | fact1: ãã®ãœã«ã
ãœãLv.12ãã ãããªãã°ãã®ãŸã¡ããŸãLv.60ã¯æ¶èã fact2: ãã®ã¿ãã¿ã¡ãLv.40ãæ¶èããšãããšãã®ã¿ã«ãã¿ã¡ãLv.75ã¯é·ã fact3: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ¶èããªããšãããšé·ããªã fact4: ããã®ãã¡ãããLv.13ã¯é·ããªãããšããããšã¯æãç«ã€ fact5: ä»®ã«ãã®ãŸã¡ããŸãLv.60ãæ¶èããªãã°ãã®ã¿ãã¿ã¡ãLv.40ã¯æ¶èã fact6: ããããã®ãã¡ãããLv.13ãé·ããªããšããã°çºé³åºæ¥ã fact7: é·ããªãã¢ã³ã¹ã¿ãŒã¯å¿ãããã€çºé³åºæ¥ã | fact1: {C}{d} -> {B}{c} fact2: {B}{b} -> {A}{a} fact3: (x): ¬{B}x -> ¬{A}x fact4: ¬{A}{aa} fact5: {B}{c} -> {B}{b} fact6: ¬{A}{aa} -> {AB}{aa} fact7: (x): ¬{A}x -> ({AA}x & {AB}x) | [
"fact7 -> int1: ãã®ãã¡ãããLv.13ãé·ããªããšããããã®ãã¡ãããLv.13ã¯å¿ãããŸãçºé³åºæ¥ã; int1 & fact4 -> int2: ãã®ãã¡ãããLv.13ã¯å¿ããçºé³åºæ¥ã; int2 -> hypothesis;"
] | [
"fact7 -> int1: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}); int1 & fact4 -> int2: ({AA}{aa} & {AB}{aa}); int2 -> hypothesis;"
] | ãã®ã¿ã«ã
ã¿ãLv.1ã¯é·ããªã | ¬{A}{co} | [
"fact8 -> int3: ãã®ã¿ã«ã
ã¿ãLv.1ã¯æ¶èããšããããšã¯ãªããªãã°ããã®ã¿ã«ã
ã¿ãLv.1ã¯é·ããªãããšããããšã¯æ¬åœã ;"
] | 4 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãœã«ã
ãœãLv.12ãã ãããªãã°ãã®ãŸã¡ããŸãLv.60ã¯æ¶èã fact2: ãã®ã¿ãã¿ã¡ãLv.40ãæ¶èããšãããšãã®ã¿ã«ãã¿ã¡ãLv.75ã¯é·ã fact3: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæ¶èããªããšãããšé·ããªã fact4: ããã®ãã¡ãããLv.13ã¯é·ããªãããšããããšã¯æãç«ã€ fact5: ä»®ã«ãã®ãŸã¡ããŸãLv.60ãæ¶èããªãã°ãã®ã¿ãã¿ã¡ãLv.40ã¯æ¶èã fact6: ããããã®ãã¡ãããLv.13ãé·ããªããšããã°çºé³åºæ¥ã fact7: é·ããªãã¢ã³ã¹ã¿ãŒã¯å¿ãããã€çºé³åºæ¥ã ; $hypothesis$ = ããã®ãã¡ãããLv.13ã¯å¿ãããšããããšã¯æãç«ã€ ; $proof$ = | fact7 -> int1: ãã®ãã¡ãããLv.13ãé·ããªããšããããã®ãã¡ãããLv.13ã¯å¿ãããŸãçºé³åºæ¥ã; int1 & fact4 -> int2: ãã®ãã¡ãããLv.13ã¯å¿ããçºé³åºæ¥ã; int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{d} -> {B}{c} fact2: {B}{b} -> {A}{a} fact3: (x): ¬{B}x -> ¬{A}x fact4: ¬{A}{aa} fact5: {B}{c} -> {B}{b} fact6: ¬{A}{aa} -> {AB}{aa} fact7: (x): ¬{A}x -> ({AA}x & {AB}x) ; $hypothesis$ = {AA}{aa} ; $proof$ = | fact7 -> int1: ¬{A}{aa} -> ({AA}{aa} & {AB}{aa}); int1 & fact4 -> int2: ({AA}{aa} & {AB}{aa}); int2 -> hypothesis; __PROVED__ |
0.3 | èŠã蟌ãããšãèµ·ããããããã¯ãœãªãœã¡ãLv.5äºä»¶ãçºçãããäž¡æ¹ãšãã§ãã | ({D} v {E}) | fact1: ãŸã®ãŸãLv.87äºä»¶ãçãã fact2: ããæãæããšããããšãšãŸã®ãŸãLv.87äºä»¶ãçºçããã°è
ããããšã¯èµ·ãããªã fact3: ä»®ã«è
ããããšã¯èµ·ããªããšããããèŠã蟌ãããšããããã¯ãœãªãœã¡ãLv.5äºä»¶ãäž¡æ¹ãšããèµ·ããããšããããšã¯ç¢ºãã§ãªã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: ¬{C} -> ¬({D} v {E}) | [] | [] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŸã®ãŸãLv.87äºä»¶ãçãã fact2: ããæãæããšããããšãšãŸã®ãŸãLv.87äºä»¶ãçºçããã°è
ããããšã¯èµ·ãããªã fact3: ä»®ã«è
ããããšã¯èµ·ããªããšããããèŠã蟌ãããšããããã¯ãœãªãœã¡ãLv.5äºä»¶ãäž¡æ¹ãšããèµ·ããããšããããšã¯ç¢ºãã§ãªã ; $hypothesis$ = èŠã蟌ãããšãèµ·ããããããã¯ãœãªãœã¡ãLv.5äºä»¶ãçºçãããäž¡æ¹ãšãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: ¬{C} -> ¬({D} v {E}) ; $hypothesis$ = ({D} v {E}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã«ãã¿ãLv.43ã¯å¯æã | {C}{a} | fact1: ãã®ã¿ã«ãã¿ãLv.43ã¯èŠé£ã fact2: æ¯æ·±ããªãã¢ã³ã¹ã¿ãŒã¯å¯æããŠæŽã«èŠé£ã fact3: ãã®ã¿ã«ãã¿ãLv.43ã¯æ¯æ·±ã fact4: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ä»°ããæŽã«åããã©ãããšããããšã¯åã ãšãããšåããã©ããªã fact5: ããä»®ã«ãã®ã¿ã«ãã¿ãLv.43ãèŠé£ãããã€ãããæ¯æ·±ããšããã°ãã®ã¿ã«ãã¿ãLv.43ã¯å¯æããªã fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãåããã©ããªããªãã°ãããèŠé£ãããã®äžå¯æã | fact1: {A}{a} fact2: (x): ¬{B}x -> ({C}x & {A}x) fact3: {B}{a} fact4: (x): ¬({E}x & {D}x) -> ¬{D}x fact5: ({A}{a} & {B}{a}) -> ¬{C}{a} fact6: (x): ¬{D}x -> ({A}x & {C}x) | [
"fact1 & fact3 -> int1: ãã®ã¿ã«ãã¿ãLv.43ã¯èŠé£ããŠæ¯æ·±ã; int1 & fact5 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis;"
] | ãã®ãŸããŸãLv.39ã¯æ¯æ·±ã | {B}{eu} | [
"fact8 -> int2: ãããã®ãŸããŸãLv.39ãåããã©ããªããªããããèŠé£ãããã®äžããã¯å¯æã; fact7 -> int3: ä»®ã«ããã®ãŸããŸãLv.39ã¯ä»°ããå ããŠããã¯åããã©ãããšããããšã¯ééãã§ãããªãã°ããã¯åããã©ããªã;"
] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã«ãã¿ãLv.43ã¯èŠé£ã fact2: æ¯æ·±ããªãã¢ã³ã¹ã¿ãŒã¯å¯æããŠæŽã«èŠé£ã fact3: ãã®ã¿ã«ãã¿ãLv.43ã¯æ¯æ·±ã fact4: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ä»°ããæŽã«åããã©ãããšããããšã¯åã ãšãããšåããã©ããªã fact5: ããä»®ã«ãã®ã¿ã«ãã¿ãLv.43ãèŠé£ãããã€ãããæ¯æ·±ããšããã°ãã®ã¿ã«ãã¿ãLv.43ã¯å¯æããªã fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒãåããã©ããªããªãã°ãããèŠé£ãããã®äžå¯æã ; $hypothesis$ = ãã®ã¿ã«ãã¿ãLv.43ã¯å¯æã ; $proof$ = | fact1 & fact3 -> int1: ãã®ã¿ã«ãã¿ãLv.43ã¯èŠé£ããŠæ¯æ·±ã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: (x): ¬{B}x -> ({C}x & {A}x) fact3: {B}{a} fact4: (x): ¬({E}x & {D}x) -> ¬{D}x fact5: ({A}{a} & {B}{a}) -> ¬{C}{a} fact6: (x): ¬{D}x -> ({A}x & {C}x) ; $hypothesis$ = {C}{a} ; $proof$ = | fact1 & fact3 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | äŒæ¢ããããšã¯èµ·ããªã | ¬{C} | fact1: ãŽã¡ããŽã¡ãLv.40äºä»¶ãçºçãã fact2: ãäŒæ¢ããããšã¯èµ·ãããªãããšããããšã¯ãè¿œãæ²ãããšãèµ·ããããŽã¡ããŽã¡ãLv.40äºä»¶ãçºçããããšããããšã«ããçºçãã fact3: è¿œãæ²ãããšããã³äŒæ¢ããããšãèµ·ããã¯ãŽã¡ããŽã¡ãLv.40äºä»¶ã¯èµ·ããªããšããããšã«ããçãã fact4: è¿œãæ²ãããšãçºçãã | fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: ¬{B} -> ({A} & {C}) fact4: {A} | [
"fact4 & fact1 -> int1: è¿œãæ²ãããšãçºçãããå ããŠãŽã¡ããŽã¡ãLv.40äºä»¶ãçãã; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | äŒæ¢ããããšãçºçãã | {C} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŽã¡ããŽã¡ãLv.40äºä»¶ãçºçãã fact2: ãäŒæ¢ããããšã¯èµ·ãããªãããšããããšã¯ãè¿œãæ²ãããšãèµ·ããããŽã¡ããŽã¡ãLv.40äºä»¶ãçºçããããšããããšã«ããçºçãã fact3: è¿œãæ²ãããšããã³äŒæ¢ããããšãèµ·ããã¯ãŽã¡ããŽã¡ãLv.40äºä»¶ã¯èµ·ããªããšããããšã«ããçãã fact4: è¿œãæ²ãããšãçºçãã ; $hypothesis$ = äŒæ¢ããããšã¯èµ·ããªã ; $proof$ = | fact4 & fact1 -> int1: è¿œãæ²ãããšãçºçãããå ããŠãŽã¡ããŽã¡ãLv.40äºä»¶ãçãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ¬{C} fact3: ¬{B} -> ({A} & {C}) fact4: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact4 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ãã·ã«ãLv.47ã¯ã©ãããŠã欲ãããªã | ¬{C}{a} | fact1: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯æããéããããšããããšã¯äºå®ã§ãããšããã°æåœãŠãã fact2: ãã®ã·ã«ãã·ã«ãLv.47ã¯æåœãŠãã fact3: åªãããã¢ã³ã¹ã¿ãŒã¯æ£ãã fact4: ãã®ã·ã«ãã·ã«ãLv.47ã¯æåœãŠãããå ããŠããã¯æããéãã fact5: ãã®ã¿ã¡ã
ã¿ã¡ãLv.48ã¯æããéãã | fact1: (x): {B}x -> {A}x fact2: {A}{a} fact3: (x): {D}x -> {CJ}x fact4: ({A}{a} & {B}{a}) fact5: {B}{gp} | [
"fact4 -> int1: ãã®ã·ã«ãã·ã«ãLv.47ã¯æããéãã;"
] | [
"fact4 -> int1: {B}{a};"
] | ãã®ã¿ã¡ã
ã¿ã¡ãLv.48ã¯ã©ãããŠã欲ãããŠãŸãæ£ãã | ({C}{gp} & {CJ}{gp}) | [
"fact8 -> int2: ãã®ã¿ã¡ã
ã¿ã¡ãLv.48ãæããéãããšããããã®ã¿ã¡ã
ã¿ã¡ãLv.48ã¯æåœãŠãã; int2 & fact6 -> int3: ããã®ã¿ã¡ã
ã¿ã¡ãLv.48ã¯æåœãŠããããšããããšã¯æ£ãã; fact7 -> int4: ä»®ã«ãã®ã¿ã¡ã
ã¿ã¡ãLv.48ãåªããããšãããšãã®ã¿ã¡ã
ã¿ã¡ãLv.48ã¯æ£ãã;"
] | 4 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ããšããã¢ã³ã¹ã¿ãŒã¯æããéããããšããããšã¯äºå®ã§ãããšããã°æåœãŠãã fact2: ãã®ã·ã«ãã·ã«ãLv.47ã¯æåœãŠãã fact3: åªãããã¢ã³ã¹ã¿ãŒã¯æ£ãã fact4: ãã®ã·ã«ãã·ã«ãLv.47ã¯æåœãŠãããå ããŠããã¯æããéãã fact5: ãã®ã¿ã¡ã
ã¿ã¡ãLv.48ã¯æããéãã ; $hypothesis$ = ãã®ã·ã«ãã·ã«ãLv.47ã¯ã©ãããŠã欲ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: {A}{a} fact3: (x): {D}x -> {CJ}x fact4: ({A}{a} & {B}{a}) fact5: {B}{gp} ; $hypothesis$ = ¬{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸãªãŸãLv.10ã¯äœãæãã¢ã³ã¹ã¿ãŒã§ãã£ãŠãããæ¥ãæãããšããããšã¯æãç«ã€ | ({A}{aa} & {B}{aa}) | fact1: ä»®ã«åãã¢ã³ã¹ã¿ãŒãçµã³ä»ãé£ããšããããšã¯ãªããšããã°æ¥ãæã fact2: ãã®ã·ãã·ã¡ã
Lv.23ã¯è³ãããšãããšãæŒãèãããšããããšã¯äºå®ãšç°ãªããªã fact3: ãã®ãŸãªãŸãLv.10ã¯åããã©ããã¯çµã³ä»ãé£ããªã fact4: ããã®ãŸãªãŸãLv.10ã¯äœãæãããšããããšã¯æ¬åœã fact5: ããã®ãã«ã
ãã«ãLv.29ã¯åããšããããšã¯ãªãããšããããšã¯æãç«ã€ fact6: ãããšããã¢ã³ã¹ã¿ãŒã¯æŒãèããªããªããããã¯äœãæãããã®äžæ¥ãæãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ãããã®ã·ãã·ã¡ã
Lv.23ãäœãæããšããããã®ã·ãã·ã¡ã
Lv.23ã¯åã fact8: ããäœããã®ã¢ã³ã¹ã¿ãŒãæŒãèããªãæ¥ãæã | fact1: (x): ({AA}x & ¬{AB}x) -> {B}x fact2: {D}{bg} -> {C}{bg} fact3: ({AA}{aa} & ¬{AB}{aa}) fact4: {A}{aa} fact5: ¬{AA}{ha} fact6: (x): ¬{C}x -> ¬({A}x & {B}x) fact7: {A}{bg} -> {AA}{bg} fact8: (x): {C}x -> {B}x | [
"fact1 -> int1: ä»®ã«ãã®ãŸãªãŸãLv.10ãåããçµã³ä»ãé£ããªããªããã®ãŸãªãŸãLv.10ã¯æ¥ãæã; int1 & fact3 -> int2: ãã®ãŸãªãŸãLv.10ã¯æ¥ãæã; int2 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact3 -> int2: {B}{aa}; int2 & fact4 -> hypothesis;"
] | ãã®ã·ãã·ã¡ã
Lv.23ã¯åã | {AA}{bg} | [
"fact10 -> int3: ãããã®ã·ãã·ã¡ã
Lv.23ã¯æŒãèãã°ãããã¯æ¥ãæãããšããããšã¯æãç«ã€;"
] | 6 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«åãã¢ã³ã¹ã¿ãŒãçµã³ä»ãé£ããšããããšã¯ãªããšããã°æ¥ãæã fact2: ãã®ã·ãã·ã¡ã
Lv.23ã¯è³ãããšãããšãæŒãèãããšããããšã¯äºå®ãšç°ãªããªã fact3: ãã®ãŸãªãŸãLv.10ã¯åããã©ããã¯çµã³ä»ãé£ããªã fact4: ããã®ãŸãªãŸãLv.10ã¯äœãæãããšããããšã¯æ¬åœã fact5: ããã®ãã«ã
ãã«ãLv.29ã¯åããšããããšã¯ãªãããšããããšã¯æãç«ã€ fact6: ãããšããã¢ã³ã¹ã¿ãŒã¯æŒãèããªããªããããã¯äœãæãããã®äžæ¥ãæãããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact7: ãããã®ã·ãã·ã¡ã
Lv.23ãäœãæããšããããã®ã·ãã·ã¡ã
Lv.23ã¯åã fact8: ããäœããã®ã¢ã³ã¹ã¿ãŒãæŒãèããªãæ¥ãæã ; $hypothesis$ = ããã®ãŸãªãŸãLv.10ã¯äœãæãã¢ã³ã¹ã¿ãŒã§ãã£ãŠãããæ¥ãæãããšããããšã¯æãç«ã€ ; $proof$ = | fact1 -> int1: ä»®ã«ãã®ãŸãªãŸãLv.10ãåããçµã³ä»ãé£ããªããªããã®ãŸãªãŸãLv.10ã¯æ¥ãæã; int1 & fact3 -> int2: ãã®ãŸãªãŸãLv.10ã¯æ¥ãæã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({AA}x & ¬{AB}x) -> {B}x fact2: {D}{bg} -> {C}{bg} fact3: ({AA}{aa} & ¬{AB}{aa}) fact4: {A}{aa} fact5: ¬{AA}{ha} fact6: (x): ¬{C}x -> ¬({A}x & {B}x) fact7: {A}{bg} -> {AA}{bg} fact8: (x): {C}x -> {B}x ; $hypothesis$ = ({A}{aa} & {B}{aa}) ; $proof$ = | fact1 -> int1: ({AA}{aa} & ¬{AB}{aa}) -> {B}{aa}; int1 & fact3 -> int2: {B}{aa}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãŽã«ããŽãLv.5äºä»¶ãèµ·ãã | {D} | fact1: çãæããšããããšãèµ·ãã fact2: æããšããããšã¯ãæµãæããšããããšã¯çºçããªãããšããããšãé»æ¢ãã fact3: ã·ãã·ã®Lv.32äºä»¶ããŽã«ããŽãLv.5äºä»¶ã¯çããªããšããããšãé»æ¢ãã fact4: æã
ãããšããããšãèµ·ãã fact5: ãœããœã®Lv.12äºä»¶ããã³çŠãã£ãããšããããšäž¡æ¹ãèµ·ãã fact6: çŠãã£ãããšããããšã¯èµ·ããªããšããããšã¯ãã«ããLv.20äºä»¶ãšãœããœã®Lv.12äºä»¶ãçããã®åå ãšãªã fact7: çŠãã£ãããšããããšã¯ãã·ãã·ã®Lv.32äºä»¶ã¯çºçããªãããšããããšãé»ã | fact1: {HG} fact2: {CK} -> {GH} fact3: {C} -> {D} fact4: {IN} fact5: ({A} & {B}) fact6: ¬{B} -> ({BO} & {A}) fact7: {B} -> {C} | [
"fact5 -> int1: çŠãã£ãããšããããšãçºçãã; int1 & fact7 -> int2: ã·ãã·ã®Lv.32äºä»¶ãèµ·ãã; int2 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: {B}; int1 & fact7 -> int2: {C}; int2 & fact3 -> hypothesis;"
] | ãã«ããLv.20äºä»¶ãçãã | {BO} | [] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: çãæããšããããšãèµ·ãã fact2: æããšããããšã¯ãæµãæããšããããšã¯çºçããªãããšããããšãé»æ¢ãã fact3: ã·ãã·ã®Lv.32äºä»¶ããŽã«ããŽãLv.5äºä»¶ã¯çããªããšããããšãé»æ¢ãã fact4: æã
ãããšããããšãèµ·ãã fact5: ãœããœã®Lv.12äºä»¶ããã³çŠãã£ãããšããããšäž¡æ¹ãèµ·ãã fact6: çŠãã£ãããšããããšã¯èµ·ããªããšããããšã¯ãã«ããLv.20äºä»¶ãšãœããœã®Lv.12äºä»¶ãçããã®åå ãšãªã fact7: çŠãã£ãããšããããšã¯ãã·ãã·ã®Lv.32äºä»¶ã¯çºçããªãããšããããšãé»ã ; $hypothesis$ = ãŽã«ããŽãLv.5äºä»¶ãèµ·ãã ; $proof$ = | fact5 -> int1: çŠãã£ãããšããããšãçºçãã; int1 & fact7 -> int2: ã·ãã·ã®Lv.32äºä»¶ãèµ·ãã; int2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {HG} fact2: {CK} -> {GH} fact3: {C} -> {D} fact4: {IN} fact5: ({A} & {B}) fact6: ¬{B} -> ({BO} & {A}) fact7: {B} -> {C} ; $hypothesis$ = {D} ; $proof$ = | fact5 -> int1: {B}; int1 & fact7 -> int2: {C}; int2 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããããå
¥ãé£ããªããªãã°ç·©ãããŸãã¯æå³ãããäž¡æ¹ãªãã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬{A}x -> ({AA}x v {AB}x) | fact1: å
¥ãé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç·©ããæå³ããããããã¯äž¡æ¹ãšãã§ãã | fact1: (x): ¬{A}x -> ({AA}x v {AB}x) | [
"fact1 -> int1: ä»®ã«ããã®ãŸãªãŸã®Lv.9ã¯å
¥ãé£ããªãããšããããšã¯æãç«ã€ãšãããç·©ãããããã¯æå³ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: ¬{A}{aa} -> ({AA}{aa} v {AB}{aa}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: å
¥ãé£ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç·©ããæå³ããããããã¯äž¡æ¹ãšãã§ãã ; $hypothesis$ = ããããå
¥ãé£ããªããªãã°ç·©ãããŸãã¯æå³ãããäž¡æ¹ãªãã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact1 -> int1: ä»®ã«ããã®ãŸãªãŸã®Lv.9ã¯å
¥ãé£ããªãããšããããšã¯æãç«ã€ãšãããç·©ãããããã¯æå³ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ({AA}x v {AB}x) ; $hypothesis$ = (Ex): ¬{A}x -> ({AA}x v {AB}x) ; $proof$ = | fact1 -> int1: ¬{A}{aa} -> ({AA}{aa} v {AB}{aa}); int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ã«ãLv.88ã¯æ··å
¥ãæã | {D}{b} | fact1: ä»®ã«èšãæãã¢ã³ã¹ã¿ãŒãå¢ãé£ããšãããšããã¯æ··å
¥ãæããªã fact2: ããããã®ãŽã«ããŽãLv.70ã¯å¢ãé£ãããšããããšã¯çå®ã§ãããªãã°ããã¯å°œããé£ã fact3: æµ
ããªãã¢ã³ã¹ã¿ãŒã¯èšãæããŠå°œããé£ã fact4: ä»®ã«ãã®ãŽã«ããŽãLv.70ãå¢ãé£ããªããšããã°ãã®ã·ãã·ã«ãLv.88ã¯å°œããé£ããŠèšãæã fact5: ä»®ã«ãã®ãŽã«ããŽãLv.70ãå°œããé£ããªããã®ã·ãã·ã«ãLv.88ã¯æ··å
¥ãæã fact6: ãã®ãŽã«ããŽãLv.70ã¯èšãæãããããå¢ãé£ã | fact1: (x): ({A}x & {B}x) -> ¬{D}x fact2: {B}{a} -> {C}{a} fact3: (x): ¬{E}x -> ({A}x & {C}x) fact4: ¬{B}{a} -> ({C}{b} & {A}{b}) fact5: {C}{a} -> {D}{b} fact6: ({A}{a} & {B}{a}) | [
"fact6 -> int1: ãã®ãŽã«ããŽãLv.70ã¯å¢ãé£ã; int1 & fact2 -> int2: ããã®ãŽã«ããŽãLv.70ã¯å°œããé£ããªãããšããããšã¯ééãã§ãã; int2 & fact5 -> hypothesis;"
] | [
"fact6 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact5 -> hypothesis;"
] | ãã®ã·ãã·ã«ãLv.88ã¯æ··å
¥ãæããªã | ¬{D}{b} | [
"fact7 -> int3: ä»®ã«ãã®ã·ãã·ã«ãLv.88ãèšãæãããã®äžããã¯å¢ãé£ããªããæ··å
¥ãæããªãããšããããšã¯æãç«ã€; fact8 -> int4: ãã®ã·ãã·ã«ãLv.88ãæµ
ããªããšãããšããã¯èšãæããŠããã«ããã¯å°œããé£ã;"
] | 5 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«èšãæãã¢ã³ã¹ã¿ãŒãå¢ãé£ããšãããšããã¯æ··å
¥ãæããªã fact2: ããããã®ãŽã«ããŽãLv.70ã¯å¢ãé£ãããšããããšã¯çå®ã§ãããªãã°ããã¯å°œããé£ã fact3: æµ
ããªãã¢ã³ã¹ã¿ãŒã¯èšãæããŠå°œããé£ã fact4: ä»®ã«ãã®ãŽã«ããŽãLv.70ãå¢ãé£ããªããšããã°ãã®ã·ãã·ã«ãLv.88ã¯å°œããé£ããŠèšãæã fact5: ä»®ã«ãã®ãŽã«ããŽãLv.70ãå°œããé£ããªããã®ã·ãã·ã«ãLv.88ã¯æ··å
¥ãæã fact6: ãã®ãŽã«ããŽãLv.70ã¯èšãæãããããå¢ãé£ã ; $hypothesis$ = ãã®ã·ãã·ã«ãLv.88ã¯æ··å
¥ãæã ; $proof$ = | fact6 -> int1: ãã®ãŽã«ããŽãLv.70ã¯å¢ãé£ã; int1 & fact2 -> int2: ããã®ãŽã«ããŽãLv.70ã¯å°œããé£ããªãããšããããšã¯ééãã§ãã; int2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({A}x & {B}x) -> ¬{D}x fact2: {B}{a} -> {C}{a} fact3: (x): ¬{E}x -> ({A}x & {C}x) fact4: ¬{B}{a} -> ({C}{b} & {A}{b}) fact5: {C}{a} -> {D}{b} fact6: ({A}{a} & {B}{a}) ; $hypothesis$ = {D}{b} ; $proof$ = | fact6 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãããããã圌ããããªããæå
ããªãããšããããšã¯äºå®ã§ãããšãããšå¢ãé£ããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): (¬{AA}x & ¬{AB}x) -> {B}x) | fact1: ããããææ¡ãé£ããšããããšã¯ãªãããã©å
¥ãæããšãããšæŒãéãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æ¬åœã fact2: ããããã®ãŸã«ããŸãLv.52ã確èªãé£ããªããå ããŠããããã
ããšãããšããããšã¯ãªããšãããšãã®ãŸã«ããŸãLv.52ã¯éã fact3: ãä»®ã«æµ®äžããªããŠå ããŠèŠãæããšããããšã¯ãªããšãããšå£ãæããã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): (¬{FA}x & {DC}x) -> {EC}x fact2: (¬{EL}{aa} & ¬{HK}{aa}) -> {G}{aa} fact3: (Ex): (¬{HS}x & ¬{AD}x) -> {IC}x | [] | [] | null | null | [] | null | 1 | 1 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããææ¡ãé£ããšããããšã¯ãªãããã©å
¥ãæããšãããšæŒãéãããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æ¬åœã fact2: ããããã®ãŸã«ããŸãLv.52ã確èªãé£ããªããå ããŠããããã
ããšãããšããããšã¯ãªããšãããšãã®ãŸã«ããŸãLv.52ã¯éã fact3: ãä»®ã«æµ®äžããªããŠå ããŠèŠãæããšããããšã¯ãªããšãããšå£ãæããã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ãããããã圌ããããªããæå
ããªãããšããããšã¯äºå®ã§ãããšãããšå¢ãé£ããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): (¬{FA}x & {DC}x) -> {EC}x fact2: (¬{EL}{aa} & ¬{HK}{aa}) -> {G}{aa} fact3: (Ex): (¬{HS}x & ¬{AD}x) -> {IC}x ; $hypothesis$ = ¬((Ex): (¬{AA}x & ¬{AB}x) -> {B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.6ã¯åãå
¥ãé£ããªã | ¬{D}{b} | fact1: ããç ããªãã¢ã³ã¹ã¿ãŒãèã£ãããªããªãããã¯ç±èŠãããªã fact2: ããããã®ãã®ãã«ãLv.6ãç±èŠãããªããããŸãã«æãé£ããšããããšã¯ãªããšããã°ãã®ã·ãã·ã¡ãLv.63ã¯ç ã fact3: ãä»®ã«ãã®ã·ãã·ã¡ãLv.63ãç ããªãã°ãã®ã¿ãã¿ãLv.6ã¯åãå
¥ãé£ãããšããããšã¯æãç«ã€ fact4: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç±èŠãããªãããã€æãé£ããªãããšããããšã¯ç¢ºãã§ãã fact5: ãšããã¢ã³ã¹ã¿ãŒã¯ç±èŠãããªããªããæãé£ããŠæŽã«ããã¯åãå
¥ãé£ãããšããããšã¯ç¢ºãã§ãªã | fact1: (x): (¬{C}x & ¬{E}x) -> ¬{A}x fact2: (¬{A}{aa} & ¬{B}{aa}) -> {C}{a} fact3: {C}{a} -> {D}{b} fact4: (x): (¬{A}x & ¬{B}x) fact5: (x): ¬{A}x -> ¬({B}x & {D}x) | [
"fact4 -> int1: ãã®ãã®ãã«ãLv.6ã¯ç±èŠãããªãããã€æãé£ããªã; int1 & fact2 -> int2: ãã®ã·ãã·ã¡ãLv.63ã¯ç ã; int2 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 & fact2 -> int2: {C}{a}; int2 & fact3 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.6ã¯åãå
¥ãé£ããªã | ¬{D}{b} | [
"fact6 -> int3: ããä»®ã«ãã®ãŽãªãŽãLv.46ã¯ç±èŠãããªããªãã°ããã®ãŽãªãŽãLv.46ã¯æãé£ããæŽã«ããã¯åãå
¥ãé£ãããšããããšã¯èª€ãã ; fact7 -> int4: ä»®ã«ãã®ãŽãªãŽãLv.46ã¯ç ããªããŠèã£ãããªããšãããããã¯ç±èŠãããªã;"
] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããç ããªãã¢ã³ã¹ã¿ãŒãèã£ãããªããªãããã¯ç±èŠãããªã fact2: ããããã®ãã®ãã«ãLv.6ãç±èŠãããªããããŸãã«æãé£ããšããããšã¯ãªããšããã°ãã®ã·ãã·ã¡ãLv.63ã¯ç ã fact3: ãä»®ã«ãã®ã·ãã·ã¡ãLv.63ãç ããªãã°ãã®ã¿ãã¿ãLv.6ã¯åãå
¥ãé£ãããšããããšã¯æãç«ã€ fact4: ããã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç±èŠãããªãããã€æãé£ããªãããšããããšã¯ç¢ºãã§ãã fact5: ãšããã¢ã³ã¹ã¿ãŒã¯ç±èŠãããªããªããæãé£ããŠæŽã«ããã¯åãå
¥ãé£ãããšããããšã¯ç¢ºãã§ãªã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.6ã¯åãå
¥ãé£ããªã ; $proof$ = | fact4 -> int1: ãã®ãã®ãã«ãLv.6ã¯ç±èŠãããªãããã€æãé£ããªã; int1 & fact2 -> int2: ãã®ã·ãã·ã¡ãLv.63ã¯ç ã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): (¬{C}x & ¬{E}x) -> ¬{A}x fact2: (¬{A}{aa} & ¬{B}{aa}) -> {C}{a} fact3: {C}{a} -> {D}{b} fact4: (x): (¬{A}x & ¬{B}x) fact5: (x): ¬{A}x -> ¬({B}x & {D}x) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact4 -> int1: (¬{A}{aa} & ¬{B}{aa}); int1 & fact2 -> int2: {C}{a}; int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã¡ããŽãLv.62ã¯åŸããæããåã€ãã©ã¡ããã§ãã | ({D}{b} v {C}{b}) | fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ããã©ããªããšããã°ãåŸããæãããããã¯ããã¯åã€ããšããããšã¯æãç«ããªã fact2: ãã®ãŸã«ããŸã®Lv.85ã¯åŸããæã fact3: ãã®ã¿ãªã¿ãLv.61ã¯ããã©ãããããã¯ããã¯é æ¯ç¡ãããããã¯äž¡æ¹ã fact4: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåŸããæããšãããšã¢ãããŒããæã fact5: ä»®ã«ãã®ãŽã¡ããŽãLv.62ãé æ¯ç¡ããšããããã®ãŽã¡ããŽãLv.62ã¯å〠fact6: ãã®ã¿ãªã¿ãLv.61ãããã©ããšããã°ãã®ãŽã¡ããŽãLv.62ã¯é æ¯ç¡ã | fact1: (x): ¬{A}x -> ¬({D}x v {C}x) fact2: {D}{hl} fact3: ({A}{a} v {B}{a}) fact4: (x): {D}x -> {EQ}x fact5: {B}{b} -> {C}{b} fact6: {A}{a} -> {B}{b} | [] | [] | ããã®ãŽã¡ããŽãLv.62ã¯åŸããæããåã€ããšããããšã¯åœã§ãã | ¬({D}{b} v {C}{b}) | [
"fact7 -> int1: ãããã®ã¿ãªã¿ãLv.61ã¯ããã©ããªããªããããã¯åŸããæãããããã¯åã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 5 | 3 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯ããã©ããªããšããã°ãåŸããæãããããã¯ããã¯åã€ããšããããšã¯æãç«ããªã fact2: ãã®ãŸã«ããŸã®Lv.85ã¯åŸããæã fact3: ãã®ã¿ãªã¿ãLv.61ã¯ããã©ãããããã¯ããã¯é æ¯ç¡ãããããã¯äž¡æ¹ã fact4: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåŸããæããšãããšã¢ãããŒããæã fact5: ä»®ã«ãã®ãŽã¡ããŽãLv.62ãé æ¯ç¡ããšããããã®ãŽã¡ããŽãLv.62ã¯å〠fact6: ãã®ã¿ãªã¿ãLv.61ãããã©ããšããã°ãã®ãŽã¡ããŽãLv.62ã¯é æ¯ç¡ã ; $hypothesis$ = ãã®ãŽã¡ããŽãLv.62ã¯åŸããæããåã€ãã©ã¡ããã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬({D}x v {C}x) fact2: {D}{hl} fact3: ({A}{a} v {B}{a}) fact4: (x): {D}x -> {EQ}x fact5: {B}{b} -> {C}{b} fact6: {A}{a} -> {B}{b} ; $hypothesis$ = ({D}{b} v {C}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã®ãŸã®Lv.37ã¯é 匵ãçºãããªã | ¬{D}{b} | fact1: ä»®ã«ãã®ãœã«ããœã«ã
Lv.66ãæŒãä»ãããŸãããªãã°ãã®ãŸã®ãŸã®Lv.37ã¯é 匵ãçºãã fact2: ãšããã¢ã³ã¹ã¿ãŒãèŠå¢ç¡ããªããŠæŽã«ããã¯å¬ãããªããªãã°ããã®ãœã«ããœã«ã
Lv.66ã¯æŒãä»ãããŸããããšããããšã¯åã§ãªã fact3: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãæŒãä»ãããŸãããªããä¿¡å¿æ·±ããšãããšãã®ãŸã®ãŸã®Lv.37ã¯èŠ³å
客ããã fact4: ãã®ãŸã®ãŸã®Lv.37ã¯æŒãä»ãããŸãã fact5: ããã¢ã³ã¹ã¿ãŒã¯èŠå¢ç¡ããªããŠå ããŠå¬ãããªã | fact1: {C}{a} -> {D}{b} fact2: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact3: (x): (¬{C}x & {CC}x) -> {BL}{b} fact4: {C}{b} fact5: (Ex): (¬{A}x & ¬{B}x) | [
"fact5 & fact2 -> int1: ãã®ãœã«ããœã«ã
Lv.66ã¯æŒãä»ãããŸãã; int1 & fact1 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {C}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ãœã«ããœã«ã
Lv.66ãæŒãä»ãããŸãããªãã°ãã®ãŸã®ãŸã®Lv.37ã¯é 匵ãçºãã fact2: ãšããã¢ã³ã¹ã¿ãŒãèŠå¢ç¡ããªããŠæŽã«ããã¯å¬ãããªããªãã°ããã®ãœã«ããœã«ã
Lv.66ã¯æŒãä»ãããŸããããšããããšã¯åã§ãªã fact3: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãæŒãä»ãããŸãããªããä¿¡å¿æ·±ããšãããšãã®ãŸã®ãŸã®Lv.37ã¯èŠ³å
客ããã fact4: ãã®ãŸã®ãŸã®Lv.37ã¯æŒãä»ãããŸãã fact5: ããã¢ã³ã¹ã¿ãŒã¯èŠå¢ç¡ããªããŠå ããŠå¬ãããªã ; $hypothesis$ = ãã®ãŸã®ãŸã®Lv.37ã¯é 匵ãçºãããªã ; $proof$ = | fact5 & fact2 -> int1: ãã®ãœã«ããœã«ã
Lv.66ã¯æŒãä»ãããŸãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} -> {D}{b} fact2: (x): (¬{A}x & ¬{B}x) -> {C}{a} fact3: (x): (¬{C}x & {CC}x) -> {BL}{b} fact4: {C}{b} fact5: (Ex): (¬{A}x & ¬{B}x) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact5 & fact2 -> int1: {C}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | æã蟌ãããšãèµ·ãã | {E} | fact1: ãœããœãLv.10äºä»¶ããã³ãŸã«ãŸãLv.10äºä»¶ã©ã¡ãããèµ·ãã fact2: ããä»®ã«ãè¥ããšããããšãèµ·ããã匱ã
ãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªããšãããæã蟌ãããšã¯çããªã fact3: ä»®ã«ãŸã«ãŸãLv.10äºä»¶ãçºçãããšããã°ãè¥ããšããããšãèµ·ããã匱ã
ãããšããããšã¯çããªãããšããããšã¯åã§ãã | fact1: ({A} & {B}) fact2: ¬({D} & ¬{C}) -> ¬{E} fact3: {B} -> ¬({D} & ¬{C}) | [
"fact1 -> int1: ãŸã«ãŸãLv.10äºä»¶ãçºçãã; int1 & fact3 -> int2: ãè¥ããšããããšãèµ·ããã匱ã
ãããšããããšã¯çºçããªãããšããããšã¯äºå®ãšç°ãªã; int2 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact3 -> int2: ¬({D} & ¬{C}); int2 & fact2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãœããœãLv.10äºä»¶ããã³ãŸã«ãŸãLv.10äºä»¶ã©ã¡ãããèµ·ãã fact2: ããä»®ã«ãè¥ããšããããšãèµ·ããã匱ã
ãããšããããšã¯çºçããªãããšããããšã¯æãç«ããªããšãããæã蟌ãããšã¯çããªã fact3: ä»®ã«ãŸã«ãŸãLv.10äºä»¶ãçºçãããšããã°ãè¥ããšããããšãèµ·ããã匱ã
ãããšããããšã¯çããªãããšããããšã¯åã§ãã ; $hypothesis$ = æã蟌ãããšãèµ·ãã ; $proof$ = | fact1 -> int1: ãŸã«ãŸãLv.10äºä»¶ãçºçãã; int1 & fact3 -> int2: ãè¥ããšããããšãèµ·ããã匱ã
ãããšããããšã¯çºçããªãããšããããšã¯äºå®ãšç°ãªã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ¬({D} & ¬{C}) -> ¬{E} fact3: {B} -> ¬({D} & ¬{C}) ; $hypothesis$ = {E} ; $proof$ = | fact1 -> int1: {B}; int1 & fact3 -> int2: ¬({D} & ¬{C}); int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªãããã®äžå¿äœæ¯ããªãããšããããšã¯åã§ãã | ¬(¬{D}{b} & ¬{C}{b}) | fact1: ä»®ã«ãã®ã¿ãã¿ãªLv.55ã宥ãããæŒãé ãããããã¯äž¡æ¹ãšãã ãšããã°ãã®ãŽã¡ããŽã¡ãLv.21ã¯å¿äœæ¯ããªã fact2: ãã®ãœã¡ããœã¡ãLv.37ã¯å¿äœæ¯ã fact3: ããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ãããšããããšã¯ç¢ºãã§ãããšãããããã®ã¿ãã¿ãªLv.55ã¯å®¥ããªããæŒãé ãããšããããšã¯äºå®ãšç°ãªã fact4: ããããã®ã¿ãã¿ãªLv.55ãæŒãé ããšãããšãã®ãŽã¡ããŽã¡ãLv.21ã¯å¿äœæ¯ããªã fact5: ãã®ã¿ãã¿ãªLv.55ã¯å®¥ãã fact6: ãã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªã fact7: ããããšããã¢ã³ã¹ã¿ãŒã¯å®¥ããªãããããæŒãé ãããšããããšã¯äºå®ã§ãªããªãå¿äœæ¯ããªã fact8: ãããã®ã¿ãã¿ãªLv.55ã¯å®¥ããªããšãããããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªããŠããã¯å¿äœæ¯ããªãããšããããšã¯èª€ã£ãŠãã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: {C}{fs} fact3: {D}{b} -> ¬(¬{A}{a} & {B}{a}) fact4: {B}{a} -> ¬{C}{b} fact5: {A}{a} fact6: ¬{D}{b} fact7: (x): ¬(¬{A}x & {B}x) -> ¬{C}x fact8: ¬{A}{a} -> ¬(¬{D}{b} & ¬{C}{b}) | [
"fact5 -> int1: ãã®ã¿ãã¿ãªLv.55ã¯å®¥ããããããã¯ããã¯æŒãé ãããããã¯äž¡æ¹ãšãã ; int1 & fact1 -> int2: ãã®ãŽã¡ããŽã¡ãLv.21ã¯å¿äœæ¯ããªã; int2 & fact6 -> hypothesis;"
] | [
"fact5 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact6 -> hypothesis;"
] | ããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªãããã®äžå¿äœæ¯ããªãããšããããšã¯åã§ãã | ¬(¬{D}{b} & ¬{C}{b}) | [] | 7 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ãªLv.55ã宥ãããæŒãé ãããããã¯äž¡æ¹ãšãã ãšããã°ãã®ãŽã¡ããŽã¡ãLv.21ã¯å¿äœæ¯ããªã fact2: ãã®ãœã¡ããœã¡ãLv.37ã¯å¿äœæ¯ã fact3: ããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ãããšããããšã¯ç¢ºãã§ãããšãããããã®ã¿ãã¿ãªLv.55ã¯å®¥ããªããæŒãé ãããšããããšã¯äºå®ãšç°ãªã fact4: ããããã®ã¿ãã¿ãªLv.55ãæŒãé ããšãããšãã®ãŽã¡ããŽã¡ãLv.21ã¯å¿äœæ¯ããªã fact5: ãã®ã¿ãã¿ãªLv.55ã¯å®¥ãã fact6: ãã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªã fact7: ããããšããã¢ã³ã¹ã¿ãŒã¯å®¥ããªãããããæŒãé ãããšããããšã¯äºå®ã§ãªããªãå¿äœæ¯ããªã fact8: ãããã®ã¿ãã¿ãªLv.55ã¯å®¥ããªããšãããããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªããŠããã¯å¿äœæ¯ããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ããã®ãŽã¡ããŽã¡ãLv.21ã¯æ¢ãç¡ããªãããã®äžå¿äœæ¯ããªãããšããããšã¯åã§ãã ; $proof$ = | fact5 -> int1: ãã®ã¿ãã¿ãªLv.55ã¯å®¥ããããããã¯ããã¯æŒãé ãããããã¯äž¡æ¹ãšãã ; int1 & fact1 -> int2: ãã®ãŽã¡ããŽã¡ãLv.21ã¯å¿äœæ¯ããªã; int2 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: {C}{fs} fact3: {D}{b} -> ¬(¬{A}{a} & {B}{a}) fact4: {B}{a} -> ¬{C}{b} fact5: {A}{a} fact6: ¬{D}{b} fact7: (x): ¬(¬{A}x & {B}x) -> ¬{C}x fact8: ¬{A}{a} -> ¬(¬{D}{b} & ¬{C}{b}) ; $hypothesis$ = ¬(¬{D}{b} & ¬{C}{b}) ; $proof$ = | fact5 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | åºå
¥ããæããšããããšã¯çºçããªã | ¬{C} | fact1: ãããŽããŽãLv.89äºä»¶ã§ã¯ãªããã«ãããªLv.43äºä»¶ãçºçããã°åºå
¥ããæããšããããšãèµ·ãã fact2: èšãåãããšãèµ·ãã fact3: ãŽããŽãLv.89äºä»¶ã¯èµ·ãããªã fact4: ãŽããŽãLv.89äºä»¶ã¯çšãæããšããããšã¯çºçããªããšããããšãé²ã fact5: ãã«ãããªLv.43äºä»¶ãçºçãã fact6: ãœã«ããœãLv.5äºä»¶ã¯çºçããªã | fact1: (¬{A} & {B}) -> {C} fact2: {JH} fact3: ¬{A} fact4: {A} -> {AT} fact5: {B} fact6: ¬{H} | [
"fact3 & fact5 -> int1: ãŽããŽãLv.89äºä»¶ã¯çºçããªããããããã«ãããªLv.43äºä»¶ãçãã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: (¬{A} & {B}); int1 & fact1 -> hypothesis;"
] | çšãæããšããããšãèµ·ãã | {AT} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããŽããŽãLv.89äºä»¶ã§ã¯ãªããã«ãããªLv.43äºä»¶ãçºçããã°åºå
¥ããæããšããããšãèµ·ãã fact2: èšãåãããšãèµ·ãã fact3: ãŽããŽãLv.89äºä»¶ã¯èµ·ãããªã fact4: ãŽããŽãLv.89äºä»¶ã¯çšãæããšããããšã¯çºçããªããšããããšãé²ã fact5: ãã«ãããªLv.43äºä»¶ãçºçãã fact6: ãœã«ããœãLv.5äºä»¶ã¯çºçããªã ; $hypothesis$ = åºå
¥ããæããšããããšã¯çºçããªã ; $proof$ = | fact3 & fact5 -> int1: ãŽããŽãLv.89äºä»¶ã¯çºçããªããããããã«ãããªLv.43äºä»¶ãçãã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{A} & {B}) -> {C} fact2: {JH} fact3: ¬{A} fact4: {A} -> {AT} fact5: {B} fact6: ¬{H} ; $hypothesis$ = ¬{C} ; $proof$ = | fact3 & fact5 -> int1: (¬{A} & {B}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ãã¿ãLv.59ã¯åŸ¡æã€ãããã¯å
åãåºæ¥ã | ({C}{b} & {D}{b}) | fact1: ãããã®ãœããœã«ã
Lv.50ãå
åãåºæ¥ãªãããããã¯åŸ¡æããªããäž¡æ¹ãªããã®ã¿ãã¿ãLv.59ã¯åŸ¡æããªã fact2: ããã®ãœããœã«ã
Lv.50ã¯çãæããªãããšããããšã¯æãç«ããªã fact3: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã埡æããªããšãããšããã¯çãæããŠããŸãã«æºãããªãããšããããšã¯æ£ãã fact4: ãã®ã¿ãã¿ãLv.59ã¯å
åãåºæ¥ã fact5: ããããã®ãœããœã«ã
Lv.50ãçãæããšããã°ãã®ãœããœã«ã
Lv.50ã¯æºãããªã | fact1: (¬{D}{a} v ¬{C}{a}) -> ¬{C}{b} fact2: {A}{a} fact3: (x): ¬{C}x -> ({A}x & {B}x) fact4: {D}{b} fact5: {A}{a} -> {B}{a} | [
"fact5 & fact2 -> int1: ãã®ãœããœã«ã
Lv.50ã¯æºãããªã;"
] | [
"fact5 & fact2 -> int1: {B}{a};"
] | ãã®ã¿ãã¿ãLv.59ã¯çãæã | {A}{b} | [
"fact6 -> int2: ãããã®ã¿ãã¿ãLv.59ã埡æããªããšãããçãæããŠæºãããªã;"
] | 6 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããã®ãœããœã«ã
Lv.50ãå
åãåºæ¥ãªãããããã¯åŸ¡æããªããäž¡æ¹ãªããã®ã¿ãã¿ãLv.59ã¯åŸ¡æããªã fact2: ããã®ãœããœã«ã
Lv.50ã¯çãæããªãããšããããšã¯æãç«ããªã fact3: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã埡æããªããšãããšããã¯çãæããŠããŸãã«æºãããªãããšããããšã¯æ£ãã fact4: ãã®ã¿ãã¿ãLv.59ã¯å
åãåºæ¥ã fact5: ããããã®ãœããœã«ã
Lv.50ãçãæããšããã°ãã®ãœããœã«ã
Lv.50ã¯æºãããªã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.59ã¯åŸ¡æã€ãããã¯å
åãåºæ¥ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{D}{a} v ¬{C}{a}) -> ¬{C}{b} fact2: {A}{a} fact3: (x): ¬{C}x -> ({A}x & {B}x) fact4: {D}{b} fact5: {A}{a} -> {B}{a} ; $hypothesis$ = ({C}{b} & {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã¡ããã¡ã
Lv.23ã¯æžãé£ããããããèªãåããªã | ({E}{b} & ¬{D}{b}) | fact1: ãä»®ã«ããã¢ã³ã¹ã¿ãŒãèªãåãããšããããšã¯ãªããšãããšåã
ããããŸãã¯åŸæããäž¡æ¹ã ããšããããšã¯æãç«ã€ fact2: 埡å®ãã¢ã³ã¹ã¿ãŒã¯åŸ¡æ¥ãããã fact3: ãã®ã¿ãã¿ã¡ãLv.19ã¯åŸæã fact4: ãã®ã¿ãã¿ã¡ãLv.19ã埡å®ãããããã¯åŸæããäž¡æ¹ã ãšããã°ãã®ãã¡ããã¡ã
Lv.23ã¯åã
ãããªã fact5: ãã®ãã¡ããã¡ã
Lv.23ã¯åã
ãããªããšããã°ããã®ãã¡ããã¡ã
Lv.23ã¯æžãé£ããããã©èªãåããªãããšããããšã¯èª€ãã§ãã | fact1: (x): ¬{D}x -> ({C}x v {B}x) fact2: (x): {A}x -> {CR}x fact3: {B}{a} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: ¬{C}{b} -> ¬({E}{b} & ¬{D}{b}) | [
"fact3 -> int1: ãã®ã¿ãã¿ã¡ãLv.19ã¯åŸ¡å®ãããŸãã¯åŸæãããããã¯äž¡æ¹ã§ãã; int1 & fact4 -> int2: ããã®ãã¡ããã¡ã
Lv.23ã¯åã
ãããªãããšããããšã¯æ£ãã; int2 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact5 -> hypothesis;"
] | ãã®ãŽã¡ã
ãŽãLv.61ã¯æãŸãããããã¯åŸ¡æ¥ããããããŸãã¯ã©ã¡ããã§ãã | ({U}{ep} v {CR}{ep}) | [
"fact7 -> int3: ããããã®ãŽã¡ã
ãŽãLv.61ã埡å®ããªãããã¯åŸ¡æ¥ãããã; fact6 -> int4: ä»®ã«ãã®ã¿ãã¿ã¡ãLv.19ãèªãåãããšããããšã¯ãªããšããã°ãã®ã¿ãã¿ã¡ãLv.19ã¯åã
ããããããã¯åŸæã;"
] | 5 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãä»®ã«ããã¢ã³ã¹ã¿ãŒãèªãåãããšããããšã¯ãªããšãããšåã
ããããŸãã¯åŸæããäž¡æ¹ã ããšããããšã¯æãç«ã€ fact2: 埡å®ãã¢ã³ã¹ã¿ãŒã¯åŸ¡æ¥ãããã fact3: ãã®ã¿ãã¿ã¡ãLv.19ã¯åŸæã fact4: ãã®ã¿ãã¿ã¡ãLv.19ã埡å®ãããããã¯åŸæããäž¡æ¹ã ãšããã°ãã®ãã¡ããã¡ã
Lv.23ã¯åã
ãããªã fact5: ãã®ãã¡ããã¡ã
Lv.23ã¯åã
ãããªããšããã°ããã®ãã¡ããã¡ã
Lv.23ã¯æžãé£ããããã©èªãåããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = ãã®ãã¡ããã¡ã
Lv.23ã¯æžãé£ããããããèªãåããªã ; $proof$ = | fact3 -> int1: ãã®ã¿ãã¿ã¡ãLv.19ã¯åŸ¡å®ãããŸãã¯åŸæãããããã¯äž¡æ¹ã§ãã; int1 & fact4 -> int2: ããã®ãã¡ããã¡ã
Lv.23ã¯åã
ãããªãããšããããšã¯æ£ãã; int2 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{D}x -> ({C}x v {B}x) fact2: (x): {A}x -> {CR}x fact3: {B}{a} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: ¬{C}{b} -> ¬({E}{b} & ¬{D}{b}) ; $hypothesis$ = ({E}{b} & ¬{D}{b}) ; $proof$ = | fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯é£²ã¿é£ã | {E}{a} | fact1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.8ã宣èšããããã¯æŒãæããªãããããã¯ã©ã¡ããã§ãããšããã°ããã¯é£²ã¿é£ããªã fact2: ããããã¢ã³ã¹ã¿ãŒãè¡æ£èããšããããšã¯ãªãããã©åºçŸãæããšããããã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯æŒãæããªã fact3: è¡æ£èãããã€åºçŸãæãã¢ã³ã¹ã¿ãŒããããšããããã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯æŒãæããšããããšã¯ãªã fact4: ãã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯å®£èšãããããã¯æŒãæãããããã¯äž¡æ¹ã§ãã | fact1: ({D}{a} v ¬{C}{a}) -> ¬{E}{a} fact2: (x): (¬{A}x & {B}x) -> ¬{C}{a} fact3: (x): ({A}x & {B}x) -> ¬{C}{a} fact4: ({D}{a} v {C}{a}) | [] | [] | null | null | [] | null | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ã
Lv.8ã宣èšããããã¯æŒãæããªãããããã¯ã©ã¡ããã§ãããšããã°ããã¯é£²ã¿é£ããªã fact2: ããããã¢ã³ã¹ã¿ãŒãè¡æ£èããšããããšã¯ãªãããã©åºçŸãæããšããããã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯æŒãæããªã fact3: è¡æ£èãããã€åºçŸãæãã¢ã³ã¹ã¿ãŒããããšããããã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯æŒãæããšããããšã¯ãªã fact4: ãã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯å®£èšãããããã¯æŒãæãããããã¯äž¡æ¹ã§ãã ; $hypothesis$ = ãã®ã¿ã«ãã¿ã¡ã
Lv.8ã¯é£²ã¿é£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({D}{a} v ¬{C}{a}) -> ¬{E}{a} fact2: (x): (¬{A}x & {B}x) -> ¬{C}{a} fact3: (x): ({A}x & {B}x) -> ¬{C}{a} fact4: ({D}{a} v {C}{a}) ; $hypothesis$ = {E}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ãŽãLv.20ã¯è霢åããªã | ¬{A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èµ°ãçºãã fact2: æãããªããè¿ãã¢ã³ã¹ã¿ãŒã¯è霢åããªã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æ
ãã ãããªããããã¯æžããªãããã©æããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ
ãã ãã | fact1: (x): {DT}x fact2: (x): (¬{C}x & {B}x) -> ¬{A}x fact3: (x): {E}x -> ¬(¬{D}x & {C}x) fact4: (x): {E}x | [] | [] | ãã®ãŽã«ãŽãLv.20ã¯è霢åããªã | ¬{A}{a} | [
"fact5 -> int1: ä»®ã«ãã®ãœããœãLv.32ãæãããªããã©ãããè¿ããšããã°ãã®ãœããœãLv.32ã¯è霢åãããšããããšã¯ãªã;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èµ°ãçºãã fact2: æãããªããè¿ãã¢ã³ã¹ã¿ãŒã¯è霢åããªã fact3: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æ
ãã ãããªããããã¯æžããªãããã©æããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ
ãã ãã ; $hypothesis$ = ãã®ãŽã«ãŽãLv.20ã¯è霢åããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {DT}x fact2: (x): (¬{C}x & {B}x) -> ¬{A}x fact3: (x): {E}x -> ¬(¬{D}x & {C}x) fact4: (x): {E}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ã¡ãã·ã¡ãLv.40äºä»¶ã¯çããªã | ¬{C} | fact1: ããä»®ã«ç·ã®åããããšããããšã¯çºçããªããšããã°ã·ã¡ãã·ã¡ãLv.40äºä»¶ããã³ãŸããŸã¡ãLv.2äºä»¶ã©ã¡ãããçãã fact2: ã·ã¡ãã·ã¡ãLv.40äºä»¶ã¯ããŸããŸã¡ãLv.2äºä»¶ãšç·ã®åããããšããããšäž¡æ¹ãèµ·ããããšããããšã«é²ããã fact3: ãããŸã«ã
ãŸã¡ãLv.71äºä»¶ãèµ·ãããªãç·ã®åããããšããããšã¯çºçããªããŠã·ã¡ãã·ã¡ãLv.40äºä»¶ã¯èµ·ãããªã fact4: ç·ã®åããããšããããšã¯èµ·ããªããšããããšã¯ãè²ã£ãœããšããããšãšãŸããŸã¡ãLv.2äºä»¶äž¡æ¹ãèµ·ããããšããããšã®åå ãšãªã fact5: ç·ã®åããããšããããšãçãã fact6: ããœãªãœãLv.86äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact7: ãŸããŸã¡ãLv.2äºä»¶ãçãã | fact1: ¬{B} -> ({C} & {A}) fact2: ({A} & {B}) -> ¬{C} fact3: {D} -> (¬{B} & ¬{C}) fact4: ¬{B} -> ({DG} & {A}) fact5: {B} fact6: {CB} fact7: {A} | [
"fact7 & fact5 -> int1: ãŸããŸã¡ãLv.2äºä»¶ãšç·ã®åããããšããããšäž¡æ¹ãèµ·ãã; int1 & fact2 -> hypothesis;"
] | [
"fact7 & fact5 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | è²ã£ãœããšããããšãèµ·ãã | {DG} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ç·ã®åããããšããããšã¯çºçããªããšããã°ã·ã¡ãã·ã¡ãLv.40äºä»¶ããã³ãŸããŸã¡ãLv.2äºä»¶ã©ã¡ãããçãã fact2: ã·ã¡ãã·ã¡ãLv.40äºä»¶ã¯ããŸããŸã¡ãLv.2äºä»¶ãšç·ã®åããããšããããšäž¡æ¹ãèµ·ããããšããããšã«é²ããã fact3: ãããŸã«ã
ãŸã¡ãLv.71äºä»¶ãèµ·ãããªãç·ã®åããããšããããšã¯çºçããªããŠã·ã¡ãã·ã¡ãLv.40äºä»¶ã¯èµ·ãããªã fact4: ç·ã®åããããšããããšã¯èµ·ããªããšããããšã¯ãè²ã£ãœããšããããšãšãŸããŸã¡ãLv.2äºä»¶äž¡æ¹ãèµ·ããããšããããšã®åå ãšãªã fact5: ç·ã®åããããšããããšãçãã fact6: ããœãªãœãLv.86äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact7: ãŸããŸã¡ãLv.2äºä»¶ãçãã ; $hypothesis$ = ã·ã¡ãã·ã¡ãLv.40äºä»¶ã¯çããªã ; $proof$ = | fact7 & fact5 -> int1: ãŸããŸã¡ãLv.2äºä»¶ãšç·ã®åããããšããããšäž¡æ¹ãèµ·ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> ({C} & {A}) fact2: ({A} & {B}) -> ¬{C} fact3: {D} -> (¬{B} & ¬{C}) fact4: ¬{B} -> ({DG} & {A}) fact5: {B} fact6: {CB} fact7: {A} ; $hypothesis$ = ¬{C} ; $proof$ = | fact7 & fact5 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãªLv.84ã¯èå³æ·±ãããããã¯ããã¯äœã¿æãããããã¯äž¡æ¹ãšãã | ({B}{a} v {C}{a}) | fact1: ãã®ãŸããŸãªLv.84ã¯æ¯çã fact2: ä»®ã«ãã®ãŸããŸãªLv.84ãæ¯çããšããã°ç³ŸåŒŸãã fact3: ãã®ãŸããŸãªLv.84ã¯çãã fact4: ãããã®ã·ãã·ã®Lv.20ã¯æ¯çããªããªãã°ããã®ãŸããŸãªLv.84ã¯èå³æ·±ããäœã¿æãããšããããšã¯æãç«ããªã fact5: ãããã®ãŸããŸãªLv.84ãç·©ããªãã°ããã¯ç·ã®åããã fact6: ããä»®ã«ããã®ãŸããŸãªLv.84ã¯æ¯çãããšããããšã¯æãç«ã€ãšãããšãã®ãŸããŸãªLv.84ã¯èå³æ·±ã | fact1: {A}{a} fact2: {A}{a} -> {HE}{a} fact3: {D}{a} fact4: ¬{A}{b} -> ¬({B}{a} v {C}{a}) fact5: {HJ}{a} -> {CE}{a} fact6: {A}{a} -> {B}{a} | [
"fact6 & fact1 -> int1: ãã®ãŸããŸãªLv.84ã¯èå³æ·±ã; int1 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: {B}{a}; int1 -> hypothesis;"
] | ãã®ã·ãã·ãªLv.80ã¯èå³æ·±ã | {B}{hm} | [
"fact7 -> int2: ããçããããšããããšã¯äºå®ãªãã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãªLv.84ã¯æ¯çã fact2: ä»®ã«ãã®ãŸããŸãªLv.84ãæ¯çããšããã°ç³ŸåŒŸãã fact3: ãã®ãŸããŸãªLv.84ã¯çãã fact4: ãããã®ã·ãã·ã®Lv.20ã¯æ¯çããªããªãã°ããã®ãŸããŸãªLv.84ã¯èå³æ·±ããäœã¿æãããšããããšã¯æãç«ããªã fact5: ãããã®ãŸããŸãªLv.84ãç·©ããªãã°ããã¯ç·ã®åããã fact6: ããä»®ã«ããã®ãŸããŸãªLv.84ã¯æ¯çãããšããããšã¯æãç«ã€ãšãããšãã®ãŸããŸãªLv.84ã¯èå³æ·±ã ; $hypothesis$ = ãã®ãŸããŸãªLv.84ã¯èå³æ·±ãããããã¯ããã¯äœã¿æãããããã¯äž¡æ¹ãšãã ; $proof$ = | fact6 & fact1 -> int1: ãã®ãŸããŸãªLv.84ã¯èå³æ·±ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {HE}{a} fact3: {D}{a} fact4: ¬{A}{b} -> ¬({B}{a} v {C}{a}) fact5: {HJ}{a} -> {CE}{a} fact6: {A}{a} -> {B}{a} ; $hypothesis$ = ({B}{a} v {C}{a}) ; $proof$ = | fact6 & fact1 -> int1: {B}{a}; int1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœãªãœã«ãLv.28ã¯å°è±¡æ·±ã | {C}{a} | fact1: ä»®ã«ããã®ãœãªãœã«ãLv.28ã¯èªã¿é£ãããšããããšã¯æãç«ãŠã°å°è±¡æ·±ã fact2: ããããã®ãœãªãœã«ãLv.28ã銬鹿銬鹿ãããªãèªã¿é£ã fact3: ãã®ãœãªãœã«ãLv.28ã¯èªã¿é£ããŠããŸãã«äžããæã fact4: ãè¯ã
ããã¢ã³ã¹ã¿ãŒã¯äžããæãããšããããšã¯æãç«ã€ fact5: ãã®ãœã¡ããœã®Lv.71ã¯äžããæãããã€è¯ã
ãã | fact1: {A}{a} -> {C}{a} fact2: {F}{a} -> {A}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): {D}x -> {B}x fact5: ({B}{dc} & {D}{dc}) | [
"fact3 -> int1: ãã®ãœãªãœã«ãLv.28ã¯èªã¿é£ã; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãœã¡ããœã®Lv.71ã¯äº€ãããããã¯å°è±¡æ·±ã | ({GT}{dc} & {C}{dc}) | [
"fact6 -> int2: ãã®ãœã¡ããœã®Lv.71ã¯äžããæã;"
] | 3 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ãœãªãœã«ãLv.28ã¯èªã¿é£ãããšããããšã¯æãç«ãŠã°å°è±¡æ·±ã fact2: ããããã®ãœãªãœã«ãLv.28ã銬鹿銬鹿ãããªãèªã¿é£ã fact3: ãã®ãœãªãœã«ãLv.28ã¯èªã¿é£ããŠããŸãã«äžããæã fact4: ãè¯ã
ããã¢ã³ã¹ã¿ãŒã¯äžããæãããšããããšã¯æãç«ã€ fact5: ãã®ãœã¡ããœã®Lv.71ã¯äžããæãããã€è¯ã
ãã ; $hypothesis$ = ãã®ãœãªãœã«ãLv.28ã¯å°è±¡æ·±ã ; $proof$ = | fact3 -> int1: ãã®ãœãªãœã«ãLv.28ã¯èªã¿é£ã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {C}{a} fact2: {F}{a} -> {A}{a} fact3: ({A}{a} & {B}{a}) fact4: (x): {D}x -> {B}x fact5: ({B}{dc} & {D}{dc}) ; $hypothesis$ = {C}{a} ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãããããçã
ãããšãããšåããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬((Ex): {A}x -> {C}x) | fact1: ä»®ã«ãã®ã·ãã·ã¡ãLv.85ãéãæããšãããããã¯å¿äœç¡ã fact2: ä»®ã«ããã¢ã³ã¹ã¿ãŒãè
ç²æç¡ããšããã°ããã¯å¬è¶ããã fact3: ãã®ãœã¡ããœãLv.69ãè¡ãé£ããšããããã®ãœã¡ããœãLv.69ã¯æ°Žèã fact4: ããããã®ãŸããŸã®Lv.44ãåããšããã°æãã fact5: ãã®ãŽããŽã¡ãLv.81ãåçŸãããšãããçã
ãã | fact1: {R}{gf} -> {BD}{gf} fact2: (x): {HK}x -> {CS}x fact3: {AN}{hm} -> {BG}{hm} fact4: {C}{aa} -> {EE}{aa} fact5: {CA}{ad} -> {A}{ad} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ã¡ãLv.85ãéãæããšãããããã¯å¿äœç¡ã fact2: ä»®ã«ããã¢ã³ã¹ã¿ãŒãè
ç²æç¡ããšããã°ããã¯å¬è¶ããã fact3: ãã®ãœã¡ããœãLv.69ãè¡ãé£ããšããããã®ãœã¡ããœãLv.69ã¯æ°Žèã fact4: ããããã®ãŸããŸã®Lv.44ãåããšããã°æãã fact5: ãã®ãŽããŽã¡ãLv.81ãåçŸãããšãããçã
ãã ; $hypothesis$ = ãããããçã
ãããšãããšåããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {R}{gf} -> {BD}{gf} fact2: (x): {HK}x -> {CS}x fact3: {AN}{hm} -> {BG}{hm} fact4: {C}{aa} -> {EE}{aa} fact5: {CA}{ad} -> {A}{ad} ; $hypothesis$ = ¬((Ex): {A}x -> {C}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã«ããœã«ãLv.24ã¯å¥ããæã | {B}{a} | fact1: ãã®ã¿ãã¿ãLv.42ã¯æ¶Œãããªã fact2: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ¶Œãããªããšããããæªæ¯ã£ãœããªããæŽã«æ³¥èããªãããšããããšã¯åã§ãã | fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ¬(¬{AA}x & ¬{AB}x) | [
"fact2 -> int1: ããããã®ã¿ãã¿ãLv.42ã¯æ¶Œãããªããªããããã¯æªæ¯ã£ãœããªããããã«æ³¥èããªãããšããããšã¯åœã§ãã; int1 & fact1 -> int2: ããã®ã¿ãã¿ãLv.42ã¯æªæ¯ã£ãœããªããæ³¥èããªãããšããããšã¯èª€ãã§ãã;"
] | [
"fact2 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> int2: ¬(¬{AA}{aa} & ¬{AB}{aa});"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ãã¿ãLv.42ã¯æ¶Œãããªã fact2: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯æ¶Œãããªããšããããæªæ¯ã£ãœããªããæŽã«æ³¥èããªãããšããããšã¯åã§ãã ; $hypothesis$ = ãã®ãœã«ããœã«ãLv.24ã¯å¥ããæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ¬(¬{AA}x & ¬{AB}x) ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | åãæããšããããšãçãã | {D} | fact1: åãæããšããããšã¯ãã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ãšæªãããšããããšãçããããšããããšã«é²ããã fact2: æªãããšããããšãçºçãã fact3: ãèŠäžããããšãèµ·ãããæŽã«ççŸããããšãèµ·ããããšããããšã¯èã£ãºãããšããããšã¯çºçããªããšããããšãçãããã fact4: ãŽã«ãŽãªLv.74äºä»¶ãšã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ã©ã¡ãããèµ·ãã fact5: ããä»®ã«ãççŸããããšã¯èµ·ãããªãããšããããšã¯ééãã§ãªããšãããã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ãçºçããããããã¯æªãããšããããšãçãã fact6: ããŽã«ãŽãªLv.74äºä»¶ãçºçããããšããããšã¯æãç«ã€ | fact1: ({B} & {C}) -> ¬{D} fact2: {C} fact3: ({AN} & {E}) -> ¬{G} fact4: ({A} & {B}) fact5: ¬{E} -> ({B} v {C}) fact6: {A} | [
"fact4 -> int1: ã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ãèµ·ãã; int1 & fact2 -> int2: ã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ããã³æªãããšããããšäž¡æ¹ãèµ·ãã; int2 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact2 -> int2: ({B} & {C}); int2 & fact1 -> hypothesis;"
] | åãæããšããããšãçãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: åãæããšããããšã¯ãã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ãšæªãããšããããšãçããããšããããšã«é²ããã fact2: æªãããšããããšãçºçãã fact3: ãèŠäžããããšãèµ·ãããæŽã«ççŸããããšãèµ·ããããšããããšã¯èã£ãºãããšããããšã¯çºçããªããšããããšãçãããã fact4: ãŽã«ãŽãªLv.74äºä»¶ãšã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ã©ã¡ãããèµ·ãã fact5: ããä»®ã«ãççŸããããšã¯èµ·ãããªãããšããããšã¯ééãã§ãªããšãããã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ãçºçããããããã¯æªãããšããããšãçãã fact6: ããŽã«ãŽãªLv.74äºä»¶ãçºçããããšããããšã¯æãç«ã€ ; $hypothesis$ = åãæããšããããšãçãã ; $proof$ = | fact4 -> int1: ã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ãèµ·ãã; int1 & fact2 -> int2: ã¿ã«ã
ã¿ã¡ãLv.94äºä»¶ããã³æªãããšããããšäž¡æ¹ãèµ·ãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B} & {C}) -> ¬{D} fact2: {C} fact3: ({AN} & {E}) -> ¬{G} fact4: ({A} & {B}) fact5: ¬{E} -> ({B} v {C}) fact6: {A} ; $hypothesis$ = {D} ; $proof$ = | fact4 -> int1: {B}; int1 & fact2 -> int2: ({B} & {C}); int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.62ã¯å¹³ã¹ã£ããããããè¯ã | ({C}{b} & {D}{b}) | fact1: ãããã®ãã¡ãããLv.3ãæ¢ã¿é£ããªããã®ããããLv.62ã¯å¹³ã¹ã£ãã fact2: ãã®ã·ã®ã·ã«Lv.54ãæ¢ã¿é£ããªãã°ãã®ã·ã®ã·ã«Lv.54ã¯å³æ°ãªã fact3: ãã®ãã¡ãããLv.3ã¯å³æ°ãªã fact4: ãã®ããããLv.62ã¯ãããè¯ã fact5: ããããã®ãã¡ãããLv.3ããããè¯ããšããã°ãã®ã·ã®ã·ã«Lv.54ã¯æ¢ã¿é£ã fact6: å³æ°ãªãã¢ã³ã¹ã¿ãŒã¯å¹³ã¹ã£ãã fact7: ãã®ãŽã¡ããŽãªLv.37ã¯æ¢ã¿é£ã fact8: ä»®ã«ãã®ãã¡ãããLv.3ãå³æ°ãªããªããã®ãã¡ãããLv.3ã¯æ¢ã¿é£ã | fact1: {B}{a} -> {C}{b} fact2: {B}{gh} -> {A}{gh} fact3: {A}{a} fact4: {D}{b} fact5: {D}{a} -> {B}{gh} fact6: (x): {A}x -> {C}x fact7: {B}{dt} fact8: {A}{a} -> {B}{a} | [
"fact8 & fact3 -> int1: ãã®ãã¡ãããLv.3ã¯æ¢ã¿é£ã; int1 & fact1 -> int2: ãã®ããããLv.62ã¯å¹³ã¹ã£ãã; int2 & fact4 -> hypothesis;"
] | [
"fact8 & fact3 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> hypothesis;"
] | ãã®ã·ã®ã·ã«Lv.54ã¯å¹³ã¹ã£ãã | {C}{gh} | [
"fact10 -> int3: ä»®ã«ãã®ã·ã®ã·ã«Lv.54ã¯å³æ°ãªããšãããšããã®ã·ã®ã·ã«Lv.54ã¯å¹³ã¹ã£ããããšããããšã¯æ£ãã;"
] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããã®ãã¡ãããLv.3ãæ¢ã¿é£ããªããã®ããããLv.62ã¯å¹³ã¹ã£ãã fact2: ãã®ã·ã®ã·ã«Lv.54ãæ¢ã¿é£ããªãã°ãã®ã·ã®ã·ã«Lv.54ã¯å³æ°ãªã fact3: ãã®ãã¡ãããLv.3ã¯å³æ°ãªã fact4: ãã®ããããLv.62ã¯ãããè¯ã fact5: ããããã®ãã¡ãããLv.3ããããè¯ããšããã°ãã®ã·ã®ã·ã«Lv.54ã¯æ¢ã¿é£ã fact6: å³æ°ãªãã¢ã³ã¹ã¿ãŒã¯å¹³ã¹ã£ãã fact7: ãã®ãŽã¡ããŽãªLv.37ã¯æ¢ã¿é£ã fact8: ä»®ã«ãã®ãã¡ãããLv.3ãå³æ°ãªããªããã®ãã¡ãããLv.3ã¯æ¢ã¿é£ã ; $hypothesis$ = ãã®ããããLv.62ã¯å¹³ã¹ã£ããããããè¯ã ; $proof$ = | fact8 & fact3 -> int1: ãã®ãã¡ãããLv.3ã¯æ¢ã¿é£ã; int1 & fact1 -> int2: ãã®ããããLv.62ã¯å¹³ã¹ã£ãã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {B}{gh} -> {A}{gh} fact3: {A}{a} fact4: {D}{b} fact5: {D}{a} -> {B}{gh} fact6: (x): {A}x -> {C}x fact7: {B}{dt} fact8: {A}{a} -> {B}{a} ; $hypothesis$ = ({C}{b} & {D}{b}) ; $proof$ = | fact8 & fact3 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãœããœãLv.54äºä»¶ã¯çºçããªã | ¬{C} | fact1: ã·ãªã·ãLv.12äºä»¶ãèµ·ãã fact2: å¿ããšããããšã¯èµ·ãããªããšããããšã¯ããœããœãLv.54äºä»¶ãèµ·ãããæ§ãããšã¯èµ·ãããªãããšããããšã®ãã£ãããšãªã fact3: ãå¿ããšããããšã¯èµ·ããªããããã«æ§ãããšã¯èµ·ãããªãããšããããšã¯é¡ããããšãèµ·ããªããšããããšã¯åå ã fact4: ãœããœãLv.54äºä»¶ãçºçããªããšããããšã¯ãã·ãªã·ãLv.12äºä»¶ãçãããæ§ãããšãçããããšããããšã¯åå ã§ãã fact5: ããœããœãLv.54äºä»¶ãšã·ãªã·ãLv.12äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯æ§ãããšã¯çããªããšããããšã«ãããããã fact6: æ§ãããšã¯èµ·ãããªããšããããšã¯ããããã«ãLv.39äºä»¶ãèµ·ãããããŸãã«ã·ãªã·ãLv.12äºä»¶ãçããããšããããšãçºçããã | fact1: {A} fact2: ¬{D} -> ({C} & ¬{B}) fact3: ¬{E} -> (¬{D} & ¬{B}) fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> ({C} & {A}) fact6: ¬{B} -> ({GS} & {A}) | [] | [] | ãããã«ãLv.39äºä»¶ãšãŸããŸãLv.59äºä»¶ãçºçãã | ({GS} & {AQ}) | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã·ãªã·ãLv.12äºä»¶ãèµ·ãã fact2: å¿ããšããããšã¯èµ·ãããªããšããããšã¯ããœããœãLv.54äºä»¶ãèµ·ãããæ§ãããšã¯èµ·ãããªãããšããããšã®ãã£ãããšãªã fact3: ãå¿ããšããããšã¯èµ·ããªããããã«æ§ãããšã¯èµ·ãããªãããšããããšã¯é¡ããããšãèµ·ããªããšããããšã¯åå ã fact4: ãœããœãLv.54äºä»¶ãçºçããªããšããããšã¯ãã·ãªã·ãLv.12äºä»¶ãçãããæ§ãããšãçããããšããããšã¯åå ã§ãã fact5: ããœããœãLv.54äºä»¶ãšã·ãªã·ãLv.12äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯æ§ãããšã¯çããªããšããããšã«ãããããã fact6: æ§ãããšã¯èµ·ãããªããšããããšã¯ããããã«ãLv.39äºä»¶ãèµ·ãããããŸãã«ã·ãªã·ãLv.12äºä»¶ãçããããšããããšãçºçããã ; $hypothesis$ = ãœããœãLv.54äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: ¬{D} -> ({C} & ¬{B}) fact3: ¬{E} -> (¬{D} & ¬{B}) fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> ({C} & {A}) fact6: ¬{B} -> ({GS} & {A}) ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ã©ãããŠã欲ãããšããããšãçãã | {D} | fact1: ãããå¯æããšããããšã¯çããªããšããããç¬ã転ããããšããã³ã©ãããŠã欲ãããšããããšãçºçããããšããããšã¯äºå®ã§ãªã fact2: ã¿ã«ã
ã¿ãªLv.56äºä»¶ãèµ·ãã fact3: 倪ããšããããšãèµ·ãã fact4: æŽã¿é£ããšããããšã¯ããè¥ããšããããšã«ç¹ãã fact5: 倪ããšããããšãçºçãããªããæŽã¿é£ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact6: ã©ãããŠã欲ãããšããããšã¯ããè¥ããšããããšã«ããçãã | fact1: ¬{F} -> ¬({E} & {D}) fact2: {JI} fact3: {A} fact4: {B} -> {C} fact5: {A} -> {B} fact6: {C} -> {D} | [
"fact5 & fact3 -> int1: æŽã¿é£ããšããããšãçºçãã; int1 & fact4 -> int2: ããè¥ããšããããšãèµ·ãã; int2 & fact6 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: {B}; int1 & fact4 -> int2: {C}; int2 & fact6 -> hypothesis;"
] | æã¿èŸŒã¿æããšããããšãçãã | {M} | [] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããå¯æããšããããšã¯çããªããšããããç¬ã転ããããšããã³ã©ãããŠã欲ãããšããããšãçºçããããšããããšã¯äºå®ã§ãªã fact2: ã¿ã«ã
ã¿ãªLv.56äºä»¶ãèµ·ãã fact3: 倪ããšããããšãèµ·ãã fact4: æŽã¿é£ããšããããšã¯ããè¥ããšããããšã«ç¹ãã fact5: 倪ããšããããšãçºçãããªããæŽã¿é£ããšããããšã¯èµ·ãããªãããšããããšã¯æãç«ããªã fact6: ã©ãããŠã欲ãããšããããšã¯ããè¥ããšããããšã«ããçãã ; $hypothesis$ = ã©ãããŠã欲ãããšããããšãçãã ; $proof$ = | fact5 & fact3 -> int1: æŽã¿é£ããšããããšãçºçãã; int1 & fact4 -> int2: ããè¥ããšããããšãèµ·ãã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F} -> ¬({E} & {D}) fact2: {JI} fact3: {A} fact4: {B} -> {C} fact5: {A} -> {B} fact6: {C} -> {D} ; $hypothesis$ = {D} ; $proof$ = | fact5 & fact3 -> int1: {B}; int1 & fact4 -> int2: {C}; int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | éãæããšããããšãèµ·ããã話ãèŸããšããããšãèµ·ãã | ({B} & {C}) | fact1: ãäžå³ããšããããšã¯çããªãããšããããšã¯ãåºå
ããšããããšã§ã¯ãªããŠçµåãæããšããããšãçããããšããããšãæã fact2: ããä»®ã«ãæœããšããããšã¯çºçããããœã¡ã
ãœã«Lv.7äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªããšãããšæçžããããšã¯çããªã fact3: åºå
ããšããããšã¯èµ·ãããªããšãããããéãæããšããããšãšè©±ãèŸããšããããšã©ã¡ãããçããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã fact4: æ»ãæããšããããšã¯èµ·ããªããšããã°ãæœããšããããšãèµ·ããããœã¡ã
ãœã«Lv.7äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã fact5: æçžããããšã¯èµ·ãããªããšããããšã¯ãããããLv.43äºä»¶ã¯çºçããªããŠãã€äžå³ããšããããšã¯èµ·ããªãããšããããšããããã fact6: åºå
ããšããããšãèµ·ãããæŽã«éãæããšããããšãçºçãã fact7: 話ãèŸããšããããšãèµ·ãã | fact1: ¬{E} -> (¬{A} & {D}) fact2: ¬({I} & ¬{H}) -> ¬{G} fact3: ¬{A} -> ¬({B} & {C}) fact4: ¬{J} -> ¬({I} & ¬{H}) fact5: ¬{G} -> (¬{F} & ¬{E}) fact6: ({A} & {B}) fact7: {C} | [
"fact6 -> int1: ãéãæããšããããšãèµ·ããããšããããšã¯äºå®ã§ãã; int1 & fact7 -> hypothesis;"
] | [
"fact6 -> int1: {B}; int1 & fact7 -> hypothesis;"
] | ãéãæããšããããšãèµ·ãããå ããŠè©±ãèŸããšããããšãçããããšããããšã¯ééãã§ãã | ¬({B} & {C}) | [] | 10 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãäžå³ããšããããšã¯çããªãããšããããšã¯ãåºå
ããšããããšã§ã¯ãªããŠçµåãæããšããããšãçããããšããããšãæã fact2: ããä»®ã«ãæœããšããããšã¯çºçããããœã¡ã
ãœã«Lv.7äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªããšãããšæçžããããšã¯çããªã fact3: åºå
ããšããããšã¯èµ·ãããªããšãããããéãæããšããããšãšè©±ãèŸããšããããšã©ã¡ãããçããããšããããšã¯æãç«ã€ããšããããšã¯æãç«ããªã fact4: æ»ãæããšããããšã¯èµ·ããªããšããã°ãæœããšããããšãèµ·ããããœã¡ã
ãœã«Lv.7äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã fact5: æçžããããšã¯èµ·ãããªããšããããšã¯ãããããLv.43äºä»¶ã¯çºçããªããŠãã€äžå³ããšããããšã¯èµ·ããªãããšããããšããããã fact6: åºå
ããšããããšãèµ·ãããæŽã«éãæããšããããšãçºçãã fact7: 話ãèŸããšããããšãèµ·ãã ; $hypothesis$ = éãæããšããããšãèµ·ããã話ãèŸããšããããšãèµ·ãã ; $proof$ = | fact6 -> int1: ãéãæããšããããšãèµ·ããããšããããšã¯äºå®ã§ãã; int1 & fact7 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> (¬{A} & {D}) fact2: ¬({I} & ¬{H}) -> ¬{G} fact3: ¬{A} -> ¬({B} & {C}) fact4: ¬{J} -> ¬({I} & ¬{H}) fact5: ¬{G} -> (¬{F} & ¬{E}) fact6: ({A} & {B}) fact7: {C} ; $hypothesis$ = ({B} & {C}) ; $proof$ = | fact6 -> int1: {B}; int1 & fact7 -> hypothesis; __PROVED__ |
0.3 | æ
ãããšãèµ·ãã | {D} | fact1: ãœããœãLv.6äºä»¶ãèµ·ãããªãæããæããšããããšã¯èµ·ãããªã fact2: çãŸãããšããããšãèµ·ããããœããœãªLv.81äºä»¶ãèµ·ãã fact3: æ
ãããšãèµ·ããªããšããããšã¯æããæããšããããšãšãœããœãªLv.81äºä»¶ã¯çºçãããå¥æ©ã fact4: æããæããšããããšã¯çºçããªããšããããšã¯ãœããœãªLv.81äºä»¶ãšçãŸãããšããããšãçºçãããåŒãèµ·ãã fact5: çãŸãããšããããšãçºçãã fact6: æããæããšããããšãèµ·ãã | fact1: {E} -> ¬{C} fact2: ({A} & {B}) fact3: ({C} & {B}) -> ¬{D} fact4: ¬{C} -> ({B} & {A}) fact5: {A} fact6: {C} | [
"fact2 -> int1: ãœããœãªLv.81äºä»¶ãçºçãã; int1 & fact6 -> int2: æããæããšããããšãšãœããœãªLv.81äºä»¶ã©ã¡ãããèµ·ãã; int2 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact6 -> int2: ({C} & {B}); int2 & fact3 -> hypothesis;"
] | æ
ãããšãèµ·ãã | {D} | [] | 7 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœããœãLv.6äºä»¶ãèµ·ãããªãæããæããšããããšã¯èµ·ãããªã fact2: çãŸãããšããããšãèµ·ããããœããœãªLv.81äºä»¶ãèµ·ãã fact3: æ
ãããšãèµ·ããªããšããããšã¯æããæããšããããšãšãœããœãªLv.81äºä»¶ã¯çºçãããå¥æ©ã fact4: æããæããšããããšã¯çºçããªããšããããšã¯ãœããœãªLv.81äºä»¶ãšçãŸãããšããããšãçºçãããåŒãèµ·ãã fact5: çãŸãããšããããšãçºçãã fact6: æããæããšããããšãèµ·ãã ; $hypothesis$ = æ
ãããšãèµ·ãã ; $proof$ = | fact2 -> int1: ãœããœãªLv.81äºä»¶ãçºçãã; int1 & fact6 -> int2: æããæããšããããšãšãœããœãªLv.81äºä»¶ã©ã¡ãããèµ·ãã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {E} -> ¬{C} fact2: ({A} & {B}) fact3: ({C} & {B}) -> ¬{D} fact4: ¬{C} -> ({B} & {A}) fact5: {A} fact6: {C} ; $hypothesis$ = {D} ; $proof$ = | fact2 -> int1: {B}; int1 & fact6 -> int2: ({C} & {B}); int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãªã·ãLv.66ã¯æ»æãæããªãããšããããšã¯æãç«ã€ | ¬{D}{b} | fact1: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.0ãç±ã
ããšããã°ãã®ã·ãªã·ãLv.66ã¯ãã£ããã fact2: ãã®ã·ãªã·ãLv.66ã¯ç±ã
ã fact3: ãä»®ã«ãã®ã·ãªã·ãLv.66ããã£ããããªãã°ãã®ã·ãªã·ãLv.66ã¯æ»æãæãããšããããšã¯æãç«ã€ fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯äžãæã fact5: ãã®ã¿ã¡ãã¿ãLv.0ã¯ç±ã
ããäžãæã | fact1: {A}{a} -> {C}{b} fact2: {A}{b} fact3: {C}{b} -> {D}{b} fact4: (x): {B}x fact5: ({A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ã¿ã¡ãã¿ãLv.0ã¯ç±ã
ã; int1 & fact1 -> int2: ãã®ã·ãªã·ãLv.66ã¯ãã£ããã; int2 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: {A}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact3 -> hypothesis;"
] | ããã®ã·ãªã·ãLv.66ã¯æ»æãæããªãããšããããšã¯æãç«ã€ | ¬{D}{b} | [
"fact6 -> int3: ãã®ã·ãã·ã«ã
Lv.10ã¯äžãæã;"
] | 7 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ã¿ã¡ãã¿ãLv.0ãç±ã
ããšããã°ãã®ã·ãªã·ãLv.66ã¯ãã£ããã fact2: ãã®ã·ãªã·ãLv.66ã¯ç±ã
ã fact3: ãä»®ã«ãã®ã·ãªã·ãLv.66ããã£ããããªãã°ãã®ã·ãªã·ãLv.66ã¯æ»æãæãããšããããšã¯æãç«ã€ fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯äžãæã fact5: ãã®ã¿ã¡ãã¿ãLv.0ã¯ç±ã
ããäžãæã ; $hypothesis$ = ããã®ã·ãªã·ãLv.66ã¯æ»æãæããªãããšããããšã¯æãç«ã€ ; $proof$ = | fact5 -> int1: ãã®ã¿ã¡ãã¿ãLv.0ã¯ç±ã
ã; int1 & fact1 -> int2: ãã®ã·ãªã·ãLv.66ã¯ãã£ããã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {C}{b} fact2: {A}{b} fact3: {C}{b} -> {D}{b} fact4: (x): {B}x fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact5 -> int1: {A}{a}; int1 & fact1 -> int2: {C}{b}; int2 & fact3 -> hypothesis; __DISPROVED__ |