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---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.3 | ãã®ãŽããŽã«ãLv.93ã¯åãæããšããããšã¯ãªã | ¬{C}{b} | fact1: ãã®ã·ãã·ã¡ãLv.19ãå·®ã眮ãããããç±äžåºæ¥ããªããã®ãŽããŽã«ãLv.93ã¯åãæããªã fact2: ãã®ã·ãã·ã¡ãLv.19ã¯å·®ã眮ã | fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: {A}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ã¡ãLv.19ãå·®ã眮ãããããç±äžåºæ¥ããªããã®ãŽããŽã«ãLv.93ã¯åãæããªã fact2: ãã®ã·ãã·ã¡ãLv.19ã¯å·®ã眮ã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.93ã¯åãæããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) -> ¬{C}{b} fact2: {A}{a} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ã解ãé£ãã¢ã³ã¹ã¿ãŒã§ããè²·ãæãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã | ¬((Ex): ({B}x & {C}x)) | fact1: ã解ãé£ããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããããã®ã¿ã«ã¿ã«ãLv.46ã¯æãé£ããªãããšããããšã¯æãç«ã€ãªãè²·ãæãããããã¯è§£ãé£ããäž¡æ¹ãšãã§ãã fact3: ãã®ã¿ã«ã¿ã«ãLv.46ã¯ç©çããã fact4: ãã®ã¿ã«ã¿ã«ãLv.46ã¯è²·ãæã fact5: äœããã®ã¢ã³ã¹ã¿ãŒã¯è²·ãæã fact6: ä»®ã«ãã®ã¿ã«ã¿ã«ãLv.46ã¯ç©çããããšãããããã®ã¿ã«ã¿ã«ãLv.46ã¯è§£ãé£ãããšããããšã¯æãç«ã€ | fact1: (Ex): {B}x fact2: ¬{D}{a} -> ({C}{a} v {B}{a}) fact3: {A}{a} fact4: {C}{a} fact5: (Ex): {C}x fact6: {A}{a} -> {B}{a} | [
"fact6 & fact3 -> int1: ããã®ã¿ã«ã¿ã«ãLv.46ã¯è§£ãé£ãããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ãã®ã¿ã«ã¿ã«ãLv.46ã¯è§£ãé£ããããŸãã«ããã¯è²·ãæã; int2 -> hypothesis;"
] | [
"fact6 & fact3 -> int1: {B}{a}; int1 & fact4 -> int2: ({B}{a} & {C}{a}); int2 -> hypothesis;"
] | ããã®ãŽã«ãŽã¡ãLv.46ã¯ç©çãããããšããããšã¯ç¢ºãã | {A}{gq} | [] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã解ãé£ããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããããã®ã¿ã«ã¿ã«ãLv.46ã¯æãé£ããªãããšããããšã¯æãç«ã€ãªãè²·ãæãããããã¯è§£ãé£ããäž¡æ¹ãšãã§ãã fact3: ãã®ã¿ã«ã¿ã«ãLv.46ã¯ç©çããã fact4: ãã®ã¿ã«ã¿ã«ãLv.46ã¯è²·ãæã fact5: äœããã®ã¢ã³ã¹ã¿ãŒã¯è²·ãæã fact6: ä»®ã«ãã®ã¿ã«ã¿ã«ãLv.46ã¯ç©çããããšãããããã®ã¿ã«ã¿ã«ãLv.46ã¯è§£ãé£ãããšããããšã¯æãç«ã€ ; $hypothesis$ = ã解ãé£ãã¢ã³ã¹ã¿ãŒã§ããè²·ãæãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯ééãã ; $proof$ = | fact6 & fact3 -> int1: ããã®ã¿ã«ã¿ã«ãLv.46ã¯è§£ãé£ãããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ãã®ã¿ã«ã¿ã«ãLv.46ã¯è§£ãé£ããããŸãã«ããã¯è²·ãæã; int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): {B}x fact2: ¬{D}{a} -> ({C}{a} v {B}{a}) fact3: {A}{a} fact4: {C}{a} fact5: (Ex): {C}x fact6: {A}{a} -> {B}{a} ; $hypothesis$ = ¬((Ex): ({B}x & {C}x)) ; $proof$ = | fact6 & fact3 -> int1: {B}{a}; int1 & fact4 -> int2: ({B}{a} & {C}{a}); int2 -> hypothesis; __DISPROVED__ |
0.3 | ãããŸãããšããããšã¯èµ·ããªã | ¬{D} | fact1: ããããããšããããšã¯çããªããªãã°ããç解ãèŸããšããããšã¯èµ·ãããªããŠããããããŸãããšããããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠããªãããšããããšã¯æãç«ããªã fact2: äžžã£ãããšããããšãèµ·ãããšããããšã¯ãåãé£ããšããããšãçºçãããå ããŠãŽããŽã®Lv.67äºä»¶ãçããããšããããšã«é»æ¢ããã fact3: ç解ãèŸããšããããšãçºçãã fact4: ããœã«ããœãLv.99äºä»¶ã¯èµ·ããªããŠããã«ç解ãèŸããšããããšã¯èµ·ããªãããšããããšã¯ããããšããããšã«èªçºããã fact5: æ»ã蟌ãããšã¯ããœã«ããœãLv.99äºä»¶ã¯èµ·ãããªãããšããããšãé»ã fact6: ããœã«ããœãLv.99äºä»¶ããã³ç解ãèŸããšããããšãèµ·ããããšããããšã¯ãããŸãããšããããšãé»æ¢ãã fact7: æ»ã蟌ãããšãèµ·ãã | fact1: ¬{E} -> ¬(¬{C} & ¬{D}) fact2: ({JJ} & {HG}) -> ¬{CJ} fact3: {C} fact4: {E} -> (¬{B} & ¬{C}) fact5: {A} -> {B} fact6: ({B} & {C}) -> ¬{D} fact7: {A} | [
"fact5 & fact7 -> int1: ãœã«ããœãLv.99äºä»¶ãçºçãã; int1 & fact3 -> int2: ãœã«ããœãLv.99äºä»¶ãšç解ãèŸããšããããšã©ã¡ãããèµ·ãã; int2 & fact6 -> hypothesis;"
] | [
"fact5 & fact7 -> int1: {B}; int1 & fact3 -> int2: ({B} & {C}); int2 & fact6 -> hypothesis;"
] | å¯çŽããããšãçãã | {GI} | [] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããããšããããšã¯çããªããªãã°ããç解ãèŸããšããããšã¯èµ·ãããªããŠããããããŸãããšããããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠããªãããšããããšã¯æãç«ããªã fact2: äžžã£ãããšããããšãèµ·ãããšããããšã¯ãåãé£ããšããããšãçºçãããå ããŠãŽããŽã®Lv.67äºä»¶ãçããããšããããšã«é»æ¢ããã fact3: ç解ãèŸããšããããšãçºçãã fact4: ããœã«ããœãLv.99äºä»¶ã¯èµ·ããªããŠããã«ç解ãèŸããšããããšã¯èµ·ããªãããšããããšã¯ããããšããããšã«èªçºããã fact5: æ»ã蟌ãããšã¯ããœã«ããœãLv.99äºä»¶ã¯èµ·ãããªãããšããããšãé»ã fact6: ããœã«ããœãLv.99äºä»¶ããã³ç解ãèŸããšããããšãèµ·ããããšããããšã¯ãããŸãããšããããšãé»æ¢ãã fact7: æ»ã蟌ãããšãèµ·ãã ; $hypothesis$ = ãããŸãããšããããšã¯èµ·ããªã ; $proof$ = | fact5 & fact7 -> int1: ãœã«ããœãLv.99äºä»¶ãçºçãã; int1 & fact3 -> int2: ãœã«ããœãLv.99äºä»¶ãšç解ãèŸããšããããšã©ã¡ãããèµ·ãã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{E} -> ¬(¬{C} & ¬{D}) fact2: ({JJ} & {HG}) -> ¬{CJ} fact3: {C} fact4: {E} -> (¬{B} & ¬{C}) fact5: {A} -> {B} fact6: ({B} & {C}) -> ¬{D} fact7: {A} ; $hypothesis$ = ¬{D} ; $proof$ = | fact5 & fact7 -> int1: {B}; int1 & fact3 -> int2: ({B} & {C}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | æµ
ããšããããšãèµ·ãã | {D} | fact1: ãä»°ã
ãããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact2: çå±ã£ãœããšããããšãçºçãã fact3: ä»®ã«ä»°ã
ãããšããããšã¯èµ·ãããªããªãã°ããœãªãœã¡ã
Lv.92äºä»¶ãçãããããã«åœ«å»ããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact4: 匷ããšããããšã¯ã·ãã·ãLv.72äºä»¶ã¯èµ·ãããªããšããããšãåé¿ãã fact5: çå±ã£ãœããšããããšãšåœ«å»ããããšãèµ·ããã¯æµ
ããšããããšãé²ã fact6: ããããœãªãœã¡ã
Lv.92äºä»¶ããã³åœ«å»ããããšäž¡æ¹ãšããèµ·ããããšããããšã¯äºå®ãšç°ãªããšãããšãœãªãœã¡ã
Lv.92äºä»¶ã¯çããªã fact7: ã·ãã·ãLv.72äºä»¶ãçºçãããšããããšã¯æµ
ããšããããšã«ç¹ãã | fact1: {A} fact2: {C} fact3: ¬{A} -> ¬({AN} & {B}) fact4: {F} -> {E} fact5: ({C} & {B}) -> ¬{D} fact6: ¬({AN} & {B}) -> ¬{AN} fact7: {E} -> {D} | [] | [] | ããœãªãœã¡ã
Lv.92äºä»¶ã¯èµ·ãããªãããšããããšã¯æãç«ã€ | ¬{AN} | [] | 9 | 3 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãä»°ã
ãããšããããšãèµ·ããããšããããšã¯æãç«ã€ fact2: çå±ã£ãœããšããããšãçºçãã fact3: ä»®ã«ä»°ã
ãããšããããšã¯èµ·ãããªããªãã°ããœãªãœã¡ã
Lv.92äºä»¶ãçãããããã«åœ«å»ããããšãèµ·ããããšããããšã¯ééã£ãŠãã fact4: 匷ããšããããšã¯ã·ãã·ãLv.72äºä»¶ã¯èµ·ãããªããšããããšãåé¿ãã fact5: çå±ã£ãœããšããããšãšåœ«å»ããããšãèµ·ããã¯æµ
ããšããããšãé²ã fact6: ããããœãªãœã¡ã
Lv.92äºä»¶ããã³åœ«å»ããããšäž¡æ¹ãšããèµ·ããããšããããšã¯äºå®ãšç°ãªããšãããšãœãªãœã¡ã
Lv.92äºä»¶ã¯çããªã fact7: ã·ãã·ãLv.72äºä»¶ãçºçãããšããããšã¯æµ
ããšããããšã«ç¹ãã ; $hypothesis$ = æµ
ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: {C} fact3: ¬{A} -> ¬({AN} & {B}) fact4: {F} -> {E} fact5: ({C} & {B}) -> ¬{D} fact6: ¬({AN} & {B}) -> ¬{AN} fact7: {E} -> {D} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸã¡ããŸãLv.47ã¯æ»ã£æ«ãããã€ããã¯æ¥œèŠ³åºæ¥ã | ({D}{d} & {C}{d}) | fact1: ããããã®ãŸã«ããŸãLv.37ã¯åå¿ãæããšããã°ããã®ãã«ããã®Lv.44ã¯åžåããæããªããå ããŠç®¡çãæããªãããšããããšã¯åœã fact2: ããããã®ã¿ãã¿ãªLv.42ã¯èšå¶ããªããªãããã®ãŸã¡ããŸãLv.47ã¯æ»ã£æ«ããå ããŠæ¥œèŠ³åºæ¥ãããšããããšã¯ç¢ºãã ãšããããšã¯ãªã fact3: ä»®ã«ããã®ãã«ããã®Lv.44ã¯åžåããæããªããŠãŸãããã¯ç®¡çãæããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšãã®ã¿ãã¿ãªLv.42ã¯èšå¶ããªã fact4: ãã®ãŸã¡ããŸãLv.47ã¯é€é¬Œã£ãœããŠãŸãæ»ã£æ«ã fact5: ããã®ãŸã«ããŸãLv.37ã¯åå¿ãæããªãããšããããšã¯èª€ã£ãŠãã | fact1: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact2: ¬{B}{c} -> ¬({D}{d} & {C}{d}) fact3: ¬(¬{AA}{b} & ¬{AB}{b}) -> ¬{B}{c} fact4: ({E}{d} & {D}{d}) fact5: {A}{a} | [
"fact1 & fact5 -> int1: ãããã®ãã«ããã®Lv.44ã¯åžåããæããªããããã«ç®¡çãæããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact3 -> int2: ããã®ã¿ãã¿ãªLv.42ã¯èšå¶ããªãããšããããšã¯æ¬åœã§ãã; int2 & fact2 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact3 -> int2: ¬{B}{c}; int2 & fact2 -> hypothesis;"
] | ãã®ãŸã¡ããŸãLv.47ã¯æ»ã£æ«ãããã€ããã¯æ¥œèŠ³åºæ¥ã | ({D}{d} & {C}{d}) | [
"fact6 -> int3: ããã®ãŸã¡ããŸãLv.47ã¯æ»ã£æ«ãããšããããšã¯çå®ã ;"
] | 4 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŸã«ããŸãLv.37ã¯åå¿ãæããšããã°ããã®ãã«ããã®Lv.44ã¯åžåããæããªããå ããŠç®¡çãæããªãããšããããšã¯åœã fact2: ããããã®ã¿ãã¿ãªLv.42ã¯èšå¶ããªããªãããã®ãŸã¡ããŸãLv.47ã¯æ»ã£æ«ããå ããŠæ¥œèŠ³åºæ¥ãããšããããšã¯ç¢ºãã ãšããããšã¯ãªã fact3: ä»®ã«ããã®ãã«ããã®Lv.44ã¯åžåããæããªããŠãŸãããã¯ç®¡çãæããšããããšã¯ãªãããšããããšã¯æãç«ããªããšãããšãã®ã¿ãã¿ãªLv.42ã¯èšå¶ããªã fact4: ãã®ãŸã¡ããŸãLv.47ã¯é€é¬Œã£ãœããŠãŸãæ»ã£æ«ã fact5: ããã®ãŸã«ããŸãLv.37ã¯åå¿ãæããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = ãã®ãŸã¡ããŸãLv.47ã¯æ»ã£æ«ãããã€ããã¯æ¥œèŠ³åºæ¥ã ; $proof$ = | fact1 & fact5 -> int1: ãããã®ãã«ããã®Lv.44ã¯åžåããæããªããããã«ç®¡çãæããªãããšããããšã¯æãç«ã€ããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact3 -> int2: ããã®ã¿ãã¿ãªLv.42ã¯èšå¶ããªãããšããããšã¯æ¬åœã§ãã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> ¬(¬{AA}{b} & ¬{AB}{b}) fact2: ¬{B}{c} -> ¬({D}{d} & {C}{d}) fact3: ¬(¬{AA}{b} & ¬{AB}{b}) -> ¬{B}{c} fact4: ({E}{d} & {D}{d}) fact5: {A}{a} ; $hypothesis$ = ({D}{d} & {C}{d}) ; $proof$ = | fact1 & fact5 -> int1: ¬(¬{AA}{b} & ¬{AB}{b}); int1 & fact3 -> int2: ¬{B}{c}; int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | å«å³ã£ãããããšããããšã¯çºçããªã | ¬{B} | fact1: æã£åããããšãèµ·ãã fact2: å ãããšãèµ·ãã fact3: ä»®ã«åæ®æãããšããããšã¯çããªããšããã°ãå«å³ã£ãããããšããããšãèµ·ãããæã£åããããšã¯çºçããªãããšããããšã¯åã | fact1: {A} fact2: {CP} fact3: ¬{C} -> ¬({B} & ¬{A}) | [
"fact1 -> int1: æã£åããããšãèµ·ãã;"
] | [
"fact1 -> int1: {A};"
] | å«å³ã£ãããããšããããšã¯çºçããªã | ¬{B} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æã£åããããšãèµ·ãã fact2: å ãããšãèµ·ãã fact3: ä»®ã«åæ®æãããšããããšã¯çããªããšããã°ãå«å³ã£ãããããšããããšãèµ·ãããæã£åããããšã¯çºçããªãããšããããšã¯åã ; $hypothesis$ = å«å³ã£ãããããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: {CP} fact3: ¬{C} -> ¬({B} & ¬{A}) ; $hypothesis$ = ¬{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã¡ãããLv.80ã¯éäžè¶³ç¡ããªã | ¬{A}{a} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯éäžè¶³ç¡ã fact2: ä»®ã«ãã®ãŽãªãŽã«ã
Lv.97ãéäžè¶³ç¡ããå€å¥ããªããšãããšãã®ãã¡ãããLv.80ã¯éäžè¶³ç¡ããªã fact3: ãã®ãŽãªãŽã«ã
Lv.97ã¯éäžè¶³ç¡ã | fact1: (x): {A}x fact2: ({A}{b} & ¬{B}{b}) -> ¬{A}{a} fact3: {A}{b} | [
"fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯éäžè¶³ç¡ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãã¡ãããLv.80ã¯éäžè¶³ç¡ããªã | ¬{A}{a} | [] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯éäžè¶³ç¡ã fact2: ä»®ã«ãã®ãŽãªãŽã«ã
Lv.97ãéäžè¶³ç¡ããå€å¥ããªããšãããšãã®ãã¡ãããLv.80ã¯éäžè¶³ç¡ããªã fact3: ãã®ãŽãªãŽã«ã
Lv.97ã¯éäžè¶³ç¡ã ; $hypothesis$ = ãã®ãã¡ãããLv.80ã¯éäžè¶³ç¡ããªã ; $proof$ = | fact1 -> int1: ããããã¢ã³ã¹ã¿ãŒã¯éäžè¶³ç¡ã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: ({A}{b} & ¬{B}{b}) -> ¬{A}{a} fact3: {A}{b} ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | çæž©ããšããããšãèµ·ãããã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯çããªã | ({D} & ¬{C}) | fact1: ãããæšããšããããšã¯çããªããšããããçæž©ããšããããšãçãããã©ã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯èµ·ãããªãããšããããšã¯æ£ãããšããããšã¯ãªã fact2: çœããšããããšãçºçãããšããããã©ã³ãããããšããããšã¯çºçãããèªã¿é£ããšããããšã¯èµ·ããªã fact3: æšããšããããšãèµ·ãã fact4: ããããã·ã¡ãã·ã«ã
Lv.76äºä»¶ãçããªããšãããçæž©ããšããããšãèµ·ãããã©ã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã fact5: ä»®ã«ãŸããŸãLv.16äºä»¶ããã³æ¶ããŸãããšããããšäž¡æ¹ãšããèµ·ãããªãåããšããããšã¯èµ·ããªã fact6: ãã©ã³ãããããšããããšãèµ·ãã fact7: ãæšããšããããšãèµ·ãããæŽã«ãã©ã³ãããããšããããšãçºçããããšããããšã¯ã·ã¡ãã·ã«ã
Lv.76äºä»¶ãåé¿ãã | fact1: ¬{A} -> ¬({D} & ¬{C}) fact2: {F} -> ({B} v ¬{E}) fact3: {A} fact4: ¬{C} -> ({D} & ¬{C}) fact5: ({O} & {AB}) -> ¬{HM} fact6: {B} fact7: ({A} & {B}) -> ¬{C} | [
"fact3 & fact6 -> int1: æšããšããããšããã³ãã©ã³ãããããšããããšäž¡æ¹ãèµ·ãã; int1 & fact7 -> int2: ã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯èµ·ããªã; int2 & fact4 -> hypothesis;"
] | [
"fact3 & fact6 -> int1: ({A} & {B}); int1 & fact7 -> int2: ¬{C}; int2 & fact4 -> hypothesis;"
] | ããçæž©ããšããããšãèµ·ããããããã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ããšããããšã¯èª€ã£ãŠãã | ¬({D} & ¬{C}) | [] | 7 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããæšããšããããšã¯çããªããšããããçæž©ããšããããšãçãããã©ã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯èµ·ãããªãããšããããšã¯æ£ãããšããããšã¯ãªã fact2: çœããšããããšãçºçãããšããããã©ã³ãããããšããããšã¯çºçãããèªã¿é£ããšããããšã¯èµ·ããªã fact3: æšããšããããšãèµ·ãã fact4: ããããã·ã¡ãã·ã«ã
Lv.76äºä»¶ãçããªããšãããçæž©ããšããããšãèµ·ãããã©ã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯èµ·ããªãããšããããšã¯ç¢ºãã fact5: ä»®ã«ãŸããŸãLv.16äºä»¶ããã³æ¶ããŸãããšããããšäž¡æ¹ãšããèµ·ãããªãåããšããããšã¯èµ·ããªã fact6: ãã©ã³ãããããšããããšãèµ·ãã fact7: ãæšããšããããšãèµ·ãããæŽã«ãã©ã³ãããããšããããšãçºçããããšããããšã¯ã·ã¡ãã·ã«ã
Lv.76äºä»¶ãåé¿ãã ; $hypothesis$ = çæž©ããšããããšãèµ·ãããã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯çããªã ; $proof$ = | fact3 & fact6 -> int1: æšããšããããšããã³ãã©ã³ãããããšããããšäž¡æ¹ãèµ·ãã; int1 & fact7 -> int2: ã·ã¡ãã·ã«ã
Lv.76äºä»¶ã¯èµ·ããªã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A} -> ¬({D} & ¬{C}) fact2: {F} -> ({B} v ¬{E}) fact3: {A} fact4: ¬{C} -> ({D} & ¬{C}) fact5: ({O} & {AB}) -> ¬{HM} fact6: {B} fact7: ({A} & {B}) -> ¬{C} ; $hypothesis$ = ({D} & ¬{C}) ; $proof$ = | fact3 & fact6 -> int1: ({A} & {B}); int1 & fact7 -> int2: ¬{C}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã¡ããŸã¡ãLv.97ã¯äººéèã | {A}{a} | fact1: æ
ãã ãããªãã¢ã³ã¹ã¿ãŒã¯æºãããªããªããå ããŠäººéèããªã | fact1: (x): ¬{B}x -> (¬{C}x & ¬{A}x) | [] | [] | ãã®ãŸã¡ããŸã¡ãLv.97ã¯äººéèããªã | ¬{A}{a} | [
"fact2 -> int1: ãã®ã¿ã«ã
ã¿ã«ãLv.10ãæ
ãã ãããªããšãããšããã¯æºãããªããªããããã«äººéèããšããããšã¯ãªã;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: æ
ãã ãããªãã¢ã³ã¹ã¿ãŒã¯æºãããªããªããå ããŠäººéèããªã ; $hypothesis$ = ãã®ãŸã¡ããŸã¡ãLv.97ã¯äººéèã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{B}x -> (¬{C}x & ¬{A}x) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããä»®ã«çºæ®ãé£ããšããã°ãå
¥å Žããªããçãæ·±ããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x) | fact1: ä»®ã«ãã®ã·ã«ã
ã·ãLv.93ã¯çºæ®ãé£ããšããã°ãããã¯å
¥å Žãããšããããšã¯ãªããŠæŽã«çãæ·±ããªãããšããããšã¯ééã£ãŠãã | fact1: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ã·ã«ã
ã·ãLv.93ã¯çºæ®ãé£ããšããã°ãããã¯å
¥å Žãããšããããšã¯ãªããŠæŽã«çãæ·±ããªãããšããããšã¯ééã£ãŠãã ; $hypothesis$ = ãããä»®ã«çºæ®ãé£ããšããã°ãå
¥å Žããªããçãæ·±ããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} -> ¬(¬{AA}{aa} & ¬{AB}{aa}) ; $hypothesis$ = (Ex): {A}x -> ¬(¬{AA}x & ¬{AB}x) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | æ¥ãäžããããšã¯çºçããªã | ¬{D} | fact1: æ¥ãäžããããšã¯ãå
¥åŠåºæ¥ãããšããŸãã¯ã·ãã·ã«Lv.36äºä»¶ãèµ·ããããšããããšã«é²ããã fact2: å
¥åŠåºæ¥ãããšãèµ·ããã瀌ããããšãèµ·ãã fact3: ã·ãã·ã«Lv.36äºä»¶ã¯ç€Œããããšããããã fact4: èªã¿ç¶ããããšãèµ·ãããšããããšã¯ã瀌ããããšãçºçããããšããããšã«ãããããã fact5: ã·ãã·ãLv.51äºä»¶ããã³å
¥åŠåºæ¥ãããšãçããã¯ããããLv.47äºä»¶ãçããªããšããããšã¯åå ã | fact1: ({A} v {C}) -> ¬{D} fact2: ({A} & {B}) fact3: {C} -> {B} fact4: {B} -> {JG} fact5: ¬{E} -> ({CG} & {A}) | [
"fact2 -> int1: å
¥åŠåºæ¥ãããšãèµ·ãã; int1 -> int2: å
¥åŠåºæ¥ãããšããããã¯ã·ãã·ã«Lv.36äºä»¶ãèµ·ãã; int2 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 -> int2: ({A} v {C}); int2 & fact1 -> hypothesis;"
] | ã·ãã·ãLv.51äºä»¶ãèµ·ããããã®äžèªã¿ç¶ããããšãèµ·ãã | ({CG} & {JG}) | [] | 5 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æ¥ãäžããããšã¯ãå
¥åŠåºæ¥ãããšããŸãã¯ã·ãã·ã«Lv.36äºä»¶ãèµ·ããããšããããšã«é²ããã fact2: å
¥åŠåºæ¥ãããšãèµ·ããã瀌ããããšãèµ·ãã fact3: ã·ãã·ã«Lv.36äºä»¶ã¯ç€Œããããšããããã fact4: èªã¿ç¶ããããšãèµ·ãããšããããšã¯ã瀌ããããšãçºçããããšããããšã«ãããããã fact5: ã·ãã·ãLv.51äºä»¶ããã³å
¥åŠåºæ¥ãããšãçããã¯ããããLv.47äºä»¶ãçããªããšããããšã¯åå ã ; $hypothesis$ = æ¥ãäžããããšã¯çºçããªã ; $proof$ = | fact2 -> int1: å
¥åŠåºæ¥ãããšãèµ·ãã; int1 -> int2: å
¥åŠåºæ¥ãããšããããã¯ã·ãã·ã«Lv.36äºä»¶ãèµ·ãã; int2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} v {C}) -> ¬{D} fact2: ({A} & {B}) fact3: {C} -> {B} fact4: {B} -> {JG} fact5: ¬{E} -> ({CG} & {A}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact2 -> int1: {A}; int1 -> int2: ({A} v {C}); int2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æèããŠãŸãæãŸãããšããããšã¯æãç«ããªã | ¬({C}{b} & {D}{b}) | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ£ããªã fact2: ãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æãŸã fact3: ãã®ãœããœãLv.34ã¯äŒŽãæã fact4: ããããã®ã·ã¡ã
ã·ã¡ãLv.18ã¯åããªããæèãããšããããšã¯äºå®ã§ãã fact5: ããããã®ãœããœãLv.34ã䌎ãæããšãããšãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯åã | fact1: (x): ¬{E}x fact2: {D}{b} fact3: {A}{a} fact4: {B}{b} -> {C}{b} fact5: {A}{a} -> {B}{b} | [
"fact5 & fact3 -> int1: ãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯åã; int1 & fact4 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æèã; int2 & fact2 -> hypothesis;"
] | [
"fact5 & fact3 -> int1: {B}{b}; int1 & fact4 -> int2: {C}{b}; int2 & fact2 -> hypothesis;"
] | ããã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æèããŠãŸãæãŸãããšããããšã¯æãç«ããªã | ¬({C}{b} & {D}{b}) | [
"fact6 -> int3: ãã®ãœããœãªLv.51ã¯æ£ããªã;"
] | 7 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯æ£ããªã fact2: ãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æãŸã fact3: ãã®ãœããœãLv.34ã¯äŒŽãæã fact4: ããããã®ã·ã¡ã
ã·ã¡ãLv.18ã¯åããªããæèãããšããããšã¯äºå®ã§ãã fact5: ããããã®ãœããœãLv.34ã䌎ãæããšãããšãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯åã ; $hypothesis$ = ããã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æèããŠãŸãæãŸãããšããããšã¯æãç«ããªã ; $proof$ = | fact5 & fact3 -> int1: ãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯åã; int1 & fact4 -> int2: ãã®ã·ã¡ã
ã·ã¡ãLv.18ã¯æèã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{E}x fact2: {D}{b} fact3: {A}{a} fact4: {B}{b} -> {C}{b} fact5: {A}{a} -> {B}{b} ; $hypothesis$ = ¬({C}{b} & {D}{b}) ; $proof$ = | fact5 & fact3 -> int1: {B}{b}; int1 & fact4 -> int2: {C}{b}; int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ãœã«ã
Lv.58ã¯çããšããããšã¯ãªã | ¬{C}{b} | fact1: ä»®ã«ããã®ãœã¡ããœãLv.44ã¯çããªããã©ããã¯åºãããšããããšã¯æãç«ããªããšããã°ãã®ã¿ãã¿ãªLv.57ã¯çããªã fact2: ãã®ãœã¡ããœãLv.44ãæããããªãããã¯éãç¡ã fact3: ãããã®ãœã¡ããœãLv.44ãçããšããããã®ãœã¡ããœãLv.44ã¯å¯å€§éãã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç«ã¡åããã fact5: ä»®ã«ãã®ãœã¡ããœãLv.44ãæ¢ãæããšããã°æ··å
¥ãæã fact6: ãã®ãœã¡ããœãLv.44ã¯æ¢ãæã fact7: ãã®ãœã¡ããœãLv.44ãæ··å
¥ãæããšããããã®ãœã«ãœã«ã
Lv.58ã¯çã fact8: ãã®ãœã«ãœã«ã
Lv.58ã¯æ··å
¥ãæã | fact1: ¬(¬{C}{a} & {E}{a}) -> ¬{C}{df} fact2: {GA}{a} -> {IG}{a} fact3: {C}{a} -> {ET}{a} fact4: (x): {D}x fact5: {A}{a} -> {B}{a} fact6: {A}{a} fact7: {B}{a} -> {C}{b} fact8: {B}{b} | [
"fact5 & fact6 -> int1: ãã®ãœã¡ããœãLv.44ã¯æ··å
¥ãæã; int1 & fact7 -> hypothesis;"
] | [
"fact5 & fact6 -> int1: {B}{a}; int1 & fact7 -> hypothesis;"
] | ãã®ã¿ãã¿ãªLv.57ã¯æ¢ãæã | {A}{df} | [
"fact9 -> int2: ãã®ãœã«ãœã«ã
Lv.58ã¯ç«ã¡åããã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ãœã¡ããœãLv.44ã¯çããªããã©ããã¯åºãããšããããšã¯æãç«ããªããšããã°ãã®ã¿ãã¿ãªLv.57ã¯çããªã fact2: ãã®ãœã¡ããœãLv.44ãæããããªãããã¯éãç¡ã fact3: ãããã®ãœã¡ããœãLv.44ãçããšããããã®ãœã¡ããœãLv.44ã¯å¯å€§éãã fact4: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç«ã¡åããã fact5: ä»®ã«ãã®ãœã¡ããœãLv.44ãæ¢ãæããšããã°æ··å
¥ãæã fact6: ãã®ãœã¡ããœãLv.44ã¯æ¢ãæã fact7: ãã®ãœã¡ããœãLv.44ãæ··å
¥ãæããšããããã®ãœã«ãœã«ã
Lv.58ã¯çã fact8: ãã®ãœã«ãœã«ã
Lv.58ã¯æ··å
¥ãæã ; $hypothesis$ = ãã®ãœã«ãœã«ã
Lv.58ã¯çããšããããšã¯ãªã ; $proof$ = | fact5 & fact6 -> int1: ãã®ãœã¡ããœãLv.44ã¯æ··å
¥ãæã; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{C}{a} & {E}{a}) -> ¬{C}{df} fact2: {GA}{a} -> {IG}{a} fact3: {C}{a} -> {ET}{a} fact4: (x): {D}x fact5: {A}{a} -> {B}{a} fact6: {A}{a} fact7: {B}{a} -> {C}{b} fact8: {B}{b} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact5 & fact6 -> int1: {B}{a}; int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã¡ããŸãLv.9ã¯æãé£ã | {D}{a} | fact1: ãã®ãœããœãLv.15ã¯å
±é³Žãæã fact2: ããä»®ã«ãã®ãœããœãªLv.59ã¯å¯ããçºèŠãããšããããã©ããã©ããããªã fact3: ããããã®ãŸããŸã«ãLv.80ã¯å
±é³Žãæããªãã°ããã®ãŸã¡ããŸãLv.9ã¯çºèŠããªããããã«æãŸãæããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŸã¡ããŸãLv.9ã¯æ®ãé£ããæŽã«ç§»æ°ãã fact5: ããããã®ãŸã¡ããŸãLv.9ã移æ°ããªããšãããšãã®ãŸããŸã«Lv.72ã¯æ®ãé£ããŠå ããŠããã¯æãé£ã fact6: ããä»®ã«ãã®ãŸã¡ããŸãLv.9ãæãè¿ããæã¡äžããæããšããããã®ãŸã¡ããŸãLv.9ã¯æãé£ããªã fact7: ä»®ã«ãã®ãŸã¡ããŸãLv.9ã移æ°ãããããã«ãããçºèŠãããªããã®ãŸã¡ããŸãLv.9ã¯æãé£ããªã fact8: ãã®ãŸã¡ããŸãLv.9ã¯çºèŠãã | fact1: {F}{c} fact2: ({GB}{ar} & {C}{ar}) -> ¬{FN}{ar} fact3: {F}{b} -> ¬(¬{C}{a} & ¬{E}{a}) fact4: ({A}{a} & {B}{a}) fact5: ¬{B}{a} -> ({A}{hi} & {D}{hi}) fact6: ({BO}{a} & {EC}{a}) -> ¬{D}{a} fact7: ({B}{a} & {C}{a}) -> ¬{D}{a} fact8: {C}{a} | [
"fact4 -> int1: ããã®ãŸã¡ããŸãLv.9ã¯ç§»æ°ããããšããããšã¯åœã§ãªã; int1 & fact8 -> int2: ãã®ãŸã¡ããŸãLv.9ã¯ç§»æ°ãããæŽã«çºèŠãã; int2 & fact7 -> hypothesis;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact8 -> int2: ({B}{a} & {C}{a}); int2 & fact7 -> hypothesis;"
] | ãã®ãŸããŸã«Lv.72ã¯æãé£ã | {D}{hi} | [
"fact9 -> int3: ããå
±é³Žãæãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 7 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœãLv.15ã¯å
±é³Žãæã fact2: ããä»®ã«ãã®ãœããœãªLv.59ã¯å¯ããçºèŠãããšããããã©ããã©ããããªã fact3: ããããã®ãŸããŸã«ãLv.80ã¯å
±é³Žãæããªãã°ããã®ãŸã¡ããŸãLv.9ã¯çºèŠããªããããã«æãŸãæããªãããšããããšã¯æãç«ããªã fact4: ãã®ãŸã¡ããŸãLv.9ã¯æ®ãé£ããæŽã«ç§»æ°ãã fact5: ããããã®ãŸã¡ããŸãLv.9ã移æ°ããªããšãããšãã®ãŸããŸã«Lv.72ã¯æ®ãé£ããŠå ããŠããã¯æãé£ã fact6: ããä»®ã«ãã®ãŸã¡ããŸãLv.9ãæãè¿ããæã¡äžããæããšããããã®ãŸã¡ããŸãLv.9ã¯æãé£ããªã fact7: ä»®ã«ãã®ãŸã¡ããŸãLv.9ã移æ°ãããããã«ãããçºèŠãããªããã®ãŸã¡ããŸãLv.9ã¯æãé£ããªã fact8: ãã®ãŸã¡ããŸãLv.9ã¯çºèŠãã ; $hypothesis$ = ãã®ãŸã¡ããŸãLv.9ã¯æãé£ã ; $proof$ = | fact4 -> int1: ããã®ãŸã¡ããŸãLv.9ã¯ç§»æ°ããããšããããšã¯åœã§ãªã; int1 & fact8 -> int2: ãã®ãŸã¡ããŸãLv.9ã¯ç§»æ°ãããæŽã«çºèŠãã; int2 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {F}{c} fact2: ({GB}{ar} & {C}{ar}) -> ¬{FN}{ar} fact3: {F}{b} -> ¬(¬{C}{a} & ¬{E}{a}) fact4: ({A}{a} & {B}{a}) fact5: ¬{B}{a} -> ({A}{hi} & {D}{hi}) fact6: ({BO}{a} & {EC}{a}) -> ¬{D}{a} fact7: ({B}{a} & {C}{a}) -> ¬{D}{a} fact8: {C}{a} ; $hypothesis$ = {D}{a} ; $proof$ = | fact4 -> int1: {B}{a}; int1 & fact8 -> int2: ({B}{a} & {C}{a}); int2 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸã¡ã
Lv.33ã¯åŠ¬ãŸãããªã | ¬{A}{a} | fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŠ¬ãŸãã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ°ŽæŒããã | fact1: (x): {A}x fact2: (x): {AN}x | [
"fact1 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŠ¬ãŸãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŠ¬ãŸãã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ°ŽæŒããã ; $hypothesis$ = ãã®ãŸããŸã¡ã
Lv.33ã¯åŠ¬ãŸãããªã ; $proof$ = | fact1 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŠ¬ãŸãã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): {AN}x ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __DISPROVED__ |
0.3 | 圢æããæããšããããšãèµ·ãã | {C} | fact1: ãŸããŸãLv.55äºä»¶ã¯èµ·ããªããšããããšã¯è©®ç¡ããšããããšãšã·ãã·ãLv.12äºä»¶ãçããã«ç¹ãã fact2: ãå€ããšããããšã§ã¯ãªã圢æããæããšããããšãçããããšããããšã¯ã·ãã·ãLv.12äºä»¶ã«ããçãã fact3: ãå€ããšããããšãèµ·ããããšããããšã¯åœ¢æããæããšããããšã¯èµ·ããªããšããããšãåé¿ãã fact4: ã¿ã«ãã¿ãLv.9äºä»¶ãèµ·ãã fact5: å°åãããããšãçãã fact6: ã·ãã·ãLv.12äºä»¶ãçãããªãå€ããšããããšã¯èµ·ããªããã©å°åãããããšãèµ·ãã fact7: 圢æããæããšããããšãçºçãããšããããšã¯ãå€ããšããããšã§ã¯ãªãå°åãããããšãèµ·ããããšããããšã«é»æ¢ããã | fact1: ¬{F} -> ({E} & {D}) fact2: {D} -> (¬{B} & {C}) fact3: {B} -> {C} fact4: {HM} fact5: {A} fact6: {D} -> (¬{B} & {A}) fact7: (¬{B} & {A}) -> ¬{C} | [] | [] | ã¿ã«ãã¿ãLv.55äºä»¶ãçãã | {FS} | [] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŸããŸãLv.55äºä»¶ã¯èµ·ããªããšããããšã¯è©®ç¡ããšããããšãšã·ãã·ãLv.12äºä»¶ãçããã«ç¹ãã fact2: ãå€ããšããããšã§ã¯ãªã圢æããæããšããããšãçããããšããããšã¯ã·ãã·ãLv.12äºä»¶ã«ããçãã fact3: ãå€ããšããããšãèµ·ããããšããããšã¯åœ¢æããæããšããããšã¯èµ·ããªããšããããšãåé¿ãã fact4: ã¿ã«ãã¿ãLv.9äºä»¶ãèµ·ãã fact5: å°åãããããšãçãã fact6: ã·ãã·ãLv.12äºä»¶ãçãããªãå€ããšããããšã¯èµ·ããªããã©å°åãããããšãèµ·ãã fact7: 圢æããæããšããããšãçºçãããšããããšã¯ãå€ããšããããšã§ã¯ãªãå°åãããããšãèµ·ããããšããããšã«é»æ¢ããã ; $hypothesis$ = 圢æããæããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{F} -> ({E} & {D}) fact2: {D} -> (¬{B} & {C}) fact3: {B} -> {C} fact4: {HM} fact5: {A} fact6: {D} -> (¬{B} & {A}) fact7: (¬{B} & {A}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã«ã
ãœãLv.8ã¯æ ¹æ·±ããªã | ¬{D}{a} | fact1: ä»®ã«ãã®ãœã«ã
ãœãLv.8ãç¹ããæããªãã°ãã®ãœã«ã
ãœãLv.8ã¯æ ¹æ·±ã fact2: ããä»®ã«ããã®ãœããœãLv.33ã¯æ±ºæžãããããã«ããã¯äžå³ãããšããããšã¯äºå®ã§ãªããšããããã®ãœã«ã
ãœãLv.8ã¯æ±ºæžããªã fact3: ãã®ãœã«ã
ãœãLv.8ã埡æ§ãç¡ããšãããšãã®ãœã«ã
ãœãLv.8ã¯ç¹ããæã fact4: ãã®ãœã«ã
ãœãLv.8ã¯åŸ¡æ§ãç¡ããããã決æžãã fact5: ããããã®ãœã«ã
ãœãLv.8ã決æžããªããªãã°ãã®ãŽããŽã«ãLv.99ã¯æ ¹æ·±ãã埡æ§ãç¡ã fact6: ãã®ãœã«ã
ãœãLv.8ã¯æ±ºæžãã | fact1: {C}{a} -> {D}{a} fact2: ¬({B}{b} & {E}{b}) -> ¬{B}{a} fact3: {A}{a} -> {C}{a} fact4: ({A}{a} & {B}{a}) fact5: ¬{B}{a} -> ({D}{em} & {A}{em}) fact6: {B}{a} | [
"fact4 -> int1: ãã®ãœã«ã
ãœãLv.8ã¯åŸ¡æ§ãç¡ã; int1 & fact3 -> int2: ãã®ãœã«ã
ãœãLv.8ã¯ç¹ããæã; int2 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact1 -> hypothesis;"
] | ãã®ãŽããŽã«ãLv.99ã¯æ ¹æ·±ã | {D}{em} | [] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœã«ã
ãœãLv.8ãç¹ããæããªãã°ãã®ãœã«ã
ãœãLv.8ã¯æ ¹æ·±ã fact2: ããä»®ã«ããã®ãœããœãLv.33ã¯æ±ºæžãããããã«ããã¯äžå³ãããšããããšã¯äºå®ã§ãªããšããããã®ãœã«ã
ãœãLv.8ã¯æ±ºæžããªã fact3: ãã®ãœã«ã
ãœãLv.8ã埡æ§ãç¡ããšãããšãã®ãœã«ã
ãœãLv.8ã¯ç¹ããæã fact4: ãã®ãœã«ã
ãœãLv.8ã¯åŸ¡æ§ãç¡ããããã決æžãã fact5: ããããã®ãœã«ã
ãœãLv.8ã決æžããªããªãã°ãã®ãŽããŽã«ãLv.99ã¯æ ¹æ·±ãã埡æ§ãç¡ã fact6: ãã®ãœã«ã
ãœãLv.8ã¯æ±ºæžãã ; $hypothesis$ = ãã®ãœã«ã
ãœãLv.8ã¯æ ¹æ·±ããªã ; $proof$ = | fact4 -> int1: ãã®ãœã«ã
ãœãLv.8ã¯åŸ¡æ§ãç¡ã; int1 & fact3 -> int2: ãã®ãœã«ã
ãœãLv.8ã¯ç¹ããæã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} -> {D}{a} fact2: ¬({B}{b} & {E}{b}) -> ¬{B}{a} fact3: {A}{a} -> {C}{a} fact4: ({A}{a} & {B}{a}) fact5: ¬{B}{a} -> ({D}{em} & {A}{em}) fact6: {B}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã¡ãLv.63ã¯äŸé€ããªã | ¬{D}{b} | fact1: ãã®ãœããœãLv.76ã¯æšããã fact2: ãã®ãŸããŸã¡ãLv.3ã¯äŸé€ãã fact3: 涌ãããå¿æããäž¡æ¹ãšããªã¢ã³ã¹ã¿ãŒã¯å³ããããªã fact4: ãã®ãœããœãLv.76ã¯å¥³ã£ãœããªã fact5: ããããã®ãããã¡ãLv.63ã売ãããšããã°äŸé€ããªã fact6: ä»®ã«ãã®ãããã¡ãLv.63ãè¡ã絊ããããã¯å£²ããããããã¯äž¡æ¹ã§ãããšããã°ãäŸé€ããªãããšããããšã¯äºå®ã fact7: ããããã®ãœããœãLv.76ãè¡ã絊ããªããšããã°ãã®ãããã¡ãLv.63ã¯äŸé€ããããããæšããã fact8: ãããã®ãœããœãLv.76ãæšããããšããã°ãã®ãããã¡ãLv.63ã¯è¡ã絊ã | fact1: {A}{a} fact2: {D}{fk} fact3: (x): ({FU}x v {DI}x) -> ¬{AR}x fact4: ¬{EL}{a} fact5: {C}{b} -> ¬{D}{b} fact6: ({B}{b} v {C}{b}) -> ¬{D}{b} fact7: ¬{B}{a} -> ({D}{b} & {A}{b}) fact8: {A}{a} -> {B}{b} | [
"fact8 & fact1 -> int1: ãã®ãããã¡ãLv.63ã¯è¡ã絊ã; int1 -> int2: ãã®ãããã¡ãLv.63ã¯è¡ã絊ãã売ãã; int2 & fact6 -> hypothesis;"
] | [
"fact8 & fact1 -> int1: {B}{b}; int1 -> int2: ({B}{b} v {C}{b}); int2 & fact6 -> hypothesis;"
] | ãããã®ãœããœãLv.76ã涌ããããããã¯å¿æããäž¡æ¹ãšãã§ãããªãã°ããã¯å³ããããªã | ({FU}{a} v {DI}{a}) -> ¬{AR}{a} | [
"fact9 -> hypothesis;"
] | 1 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãã®ãœããœãLv.76ã¯æšããã fact2: ãã®ãŸããŸã¡ãLv.3ã¯äŸé€ãã fact3: 涌ãããå¿æããäž¡æ¹ãšããªã¢ã³ã¹ã¿ãŒã¯å³ããããªã fact4: ãã®ãœããœãLv.76ã¯å¥³ã£ãœããªã fact5: ããããã®ãããã¡ãLv.63ã売ãããšããã°äŸé€ããªã fact6: ä»®ã«ãã®ãããã¡ãLv.63ãè¡ã絊ããããã¯å£²ããããããã¯äž¡æ¹ã§ãããšããã°ãäŸé€ããªãããšããããšã¯äºå®ã fact7: ããããã®ãœããœãLv.76ãè¡ã絊ããªããšããã°ãã®ãããã¡ãLv.63ã¯äŸé€ããããããæšããã fact8: ãããã®ãœããœãLv.76ãæšããããšããã°ãã®ãããã¡ãLv.63ã¯è¡ã絊ã ; $hypothesis$ = ãã®ãããã¡ãLv.63ã¯äŸé€ããªã ; $proof$ = | fact8 & fact1 -> int1: ãã®ãããã¡ãLv.63ã¯è¡ã絊ã; int1 -> int2: ãã®ãããã¡ãLv.63ã¯è¡ã絊ãã売ãã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {D}{fk} fact3: (x): ({FU}x v {DI}x) -> ¬{AR}x fact4: ¬{EL}{a} fact5: {C}{b} -> ¬{D}{b} fact6: ({B}{b} v {C}{b}) -> ¬{D}{b} fact7: ¬{B}{a} -> ({D}{b} & {A}{b}) fact8: {A}{a} -> {B}{b} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact8 & fact1 -> int1: {B}{b}; int1 -> int2: ({B}{b} v {C}{b}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ç
©ããšããããšãçºçãã | {D} | fact1: ããäŒããé£ããšããããšã¯èµ·ããªããªãã°ããœããœãªLv.47äºä»¶ããã³ç
©ããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact2: ããããããã«ã
Lv.15äºä»¶ãçºçããã°ã¿ã¡ãã¿ãLv.9äºä»¶ãçãã fact3: ãã¿ã¡ãã¿ãLv.9äºä»¶ããã³ãœããœãªLv.47äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯ç
©ããšããããšã¯çºçããªããšããããšããããã fact4: ãããã«ã
Lv.15äºä»¶ãçºçãã fact5: ãããã©ã§ãããšããããšãèµ·ããããããã¯çããšããããšã¯èµ·ãããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããªãã°äŒããé£ããšããããšã¯çºçããªã fact6: ãœããœãªLv.47äºä»¶ãçãã | fact1: ¬{E} -> ¬({C} & {D}) fact2: {A} -> {B} fact3: ({B} & {C}) -> ¬{D} fact4: {A} fact5: ¬({G} v ¬{F}) -> ¬{E} fact6: {C} | [
"fact2 & fact4 -> int1: ã¿ã¡ãã¿ãLv.9äºä»¶ãèµ·ãã; int1 & fact6 -> int2: ã¿ã¡ãã¿ãLv.9äºä»¶ãšãœããœãªLv.47äºä»¶ãèµ·ãã; int2 & fact3 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}; int1 & fact6 -> int2: ({B} & {C}); int2 & fact3 -> hypothesis;"
] | ã¿ãã¿ãLv.50äºä»¶ãçºçãã | {FA} | [] | 7 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããäŒããé£ããšããããšã¯èµ·ããªããªãã°ããœããœãªLv.47äºä»¶ããã³ç
©ããšããããšäž¡æ¹ãšããçããããšããããšã¯æãç«ããªã fact2: ããããããã«ã
Lv.15äºä»¶ãçºçããã°ã¿ã¡ãã¿ãLv.9äºä»¶ãçãã fact3: ãã¿ã¡ãã¿ãLv.9äºä»¶ããã³ãœããœãªLv.47äºä»¶ã©ã¡ãããèµ·ããããšããããšã¯ç
©ããšããããšã¯çºçããªããšããããšããããã fact4: ãããã«ã
Lv.15äºä»¶ãçºçãã fact5: ãããã©ã§ãããšããããšãèµ·ããããããã¯çããšããããšã¯èµ·ãããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããªãã°äŒããé£ããšããããšã¯çºçããªã fact6: ãœããœãªLv.47äºä»¶ãçãã ; $hypothesis$ = ç
©ããšããããšãçºçãã ; $proof$ = | fact2 & fact4 -> int1: ã¿ã¡ãã¿ãLv.9äºä»¶ãèµ·ãã; int1 & fact6 -> int2: ã¿ã¡ãã¿ãLv.9äºä»¶ãšãœããœãªLv.47äºä»¶ãèµ·ãã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} -> ¬({C} & {D}) fact2: {A} -> {B} fact3: ({B} & {C}) -> ¬{D} fact4: {A} fact5: ¬({G} v ¬{F}) -> ¬{E} fact6: {C} ; $hypothesis$ = {D} ; $proof$ = | fact2 & fact4 -> int1: {B}; int1 & fact6 -> int2: ({B} & {C}); int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽããŽã¡ãLv.66ã¯çŸããæããããŸãã«ãŽãŒã«ã€ã³ããããšããããšã¯æ¬åœã§ãªã | ¬({C}{c} & {A}{c}) | fact1: ãã®ã¿ã¡ãã¿ã«ãLv.96ãæ ãããªããã®ãŽããŽã¡ãLv.66ã¯ãŽãŒã«ã€ã³ãã fact2: ãããããã®ã¿ã¡ãã¿ã«ãLv.96ã¯äžããªãããšããããšã¯æãç«ããªããªãããã®ã¿ã¡ãã¿ã«ãLv.96ã¯çŸããæããã©æ ããªãããšããããšã¯èª€ãã fact3: ãããã®ã¿ã¡ãã¿ã«ãLv.96ãåããåŸããªããã®ã·ã«ã
ã·ã«Lv.55ã¯æ ãã fact4: ãã®ãŽããŽã¡ãLv.66ã¯çŸããæã fact5: ãããããã®ã·ã«ã
ã·ã«Lv.55ã¯åããåŸããçæž©ããªãããšããããšã¯æãç«ããªããªããã®ã¿ã¡ãã¿ã«ãLv.96ã¯æ ãã fact6: ããã®ã·ã«ã
ã·ã«Lv.55ã¯åããåŸãããããããã¯çæž©ããªãããšããããšã¯æãç«ããªã | fact1: {B}{b} -> {A}{c} fact2: {D}{b} -> ¬({C}{b} & ¬{B}{b}) fact3: {AA}{b} -> {B}{a} fact4: {C}{c} fact5: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact6: ¬({AA}{a} & ¬{AB}{a}) | [
"fact5 & fact6 -> int1: ãã®ã¿ã¡ãã¿ã«ãLv.96ã¯æ ãã; int1 & fact1 -> int2: ãã®ãŽããŽã¡ãLv.66ã¯ãŽãŒã«ã€ã³ãã; int2 & fact4 -> hypothesis;"
] | [
"fact5 & fact6 -> int1: {B}{b}; int1 & fact1 -> int2: {A}{c}; int2 & fact4 -> hypothesis;"
] | ããã®ãœããœãLv.76ã¯çæž©ãããšããããšã¯ç¢ºãã§ãã | {AB}{jg} | [] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã¡ãã¿ã«ãLv.96ãæ ãããªããã®ãŽããŽã¡ãLv.66ã¯ãŽãŒã«ã€ã³ãã fact2: ãããããã®ã¿ã¡ãã¿ã«ãLv.96ã¯äžããªãããšããããšã¯æãç«ããªããªãããã®ã¿ã¡ãã¿ã«ãLv.96ã¯çŸããæããã©æ ããªãããšããããšã¯èª€ãã fact3: ãããã®ã¿ã¡ãã¿ã«ãLv.96ãåããåŸããªããã®ã·ã«ã
ã·ã«Lv.55ã¯æ ãã fact4: ãã®ãŽããŽã¡ãLv.66ã¯çŸããæã fact5: ãããããã®ã·ã«ã
ã·ã«Lv.55ã¯åããåŸããçæž©ããªãããšããããšã¯æãç«ããªããªããã®ã¿ã¡ãã¿ã«ãLv.96ã¯æ ãã fact6: ããã®ã·ã«ã
ã·ã«Lv.55ã¯åããåŸãããããããã¯çæž©ããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ããã®ãŽããŽã¡ãLv.66ã¯çŸããæããããŸãã«ãŽãŒã«ã€ã³ããããšããããšã¯æ¬åœã§ãªã ; $proof$ = | fact5 & fact6 -> int1: ãã®ã¿ã¡ãã¿ã«ãLv.96ã¯æ ãã; int1 & fact1 -> int2: ãã®ãŽããŽã¡ãLv.66ã¯ãŽãŒã«ã€ã³ãã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{b} -> {A}{c} fact2: {D}{b} -> ¬({C}{b} & ¬{B}{b}) fact3: {AA}{b} -> {B}{a} fact4: {C}{c} fact5: ¬({AA}{a} & ¬{AB}{a}) -> {B}{b} fact6: ¬({AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬({C}{c} & {A}{c}) ; $proof$ = | fact5 & fact6 -> int1: {B}{b}; int1 & fact1 -> int2: {A}{c}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽããŽã«ãLv.2ã¯ãã€ããªãããã©ããè¥ãããšããããšã¯äºå®ãšç°ãªã | ¬(¬{E}{b} & {D}{b}) | fact1: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãããè¥ããšããã°å¥¥åºãã fact2: ãã®ãŸãªãŸã®Lv.39ã¯å¥¥åºãã fact3: ããããã®ãŸãªãŸã®Lv.39ãåŒãæããªãã°ãã®ãŽããŽã«ãLv.2ã¯æããã fact4: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒãæããšãããšããã€ããªãããããããè¥ãããšããããšã¯åœã fact5: ããããã®ãŸãªãŸã®Lv.39ãåŒãæãããããã¯ããã奥åºãããšãããããã¯å°ããªã fact6: ããããã®ã·ã¡ãã·ã«ãLv.63ã¯å¥¥åºããããšããããšã¯æãç«ãŠã°ãã®ãŽããŽã«ãLv.2ã¯åœ¹ããããªã fact7: ããä»®ã«ãã®ãŽããŽã«ãLv.2ã奥åºãããªããšãããšãã®ãŸãªãŸã®Lv.39ã¯åŒãæããªãäžæ¹ã§ããè¥ã | fact1: (x): {D}x -> {B}x fact2: {B}{a} fact3: {A}{a} -> {ER}{b} fact4: (x): {A}x -> ¬(¬{E}x & {D}x) fact5: ({A}{a} v {B}{a}) -> ¬{C}{a} fact6: {B}{c} -> ¬{FT}{b} fact7: ¬{B}{b} -> (¬{A}{a} & {D}{a}) | [
"fact2 -> int1: ãã®ãŸãªãŸã®Lv.39ã¯åŒãæãã奥åºããããããã¯äž¡æ¹ãšãã§ãã; int1 & fact5 -> int2: ãã®ãŸãªãŸã®Lv.39ã¯å°ããšããããšã¯ãªã;"
] | [
"fact2 -> int1: ({A}{a} v {B}{a}); int1 & fact5 -> int2: ¬{C}{a};"
] | ããã®ãŽããŽã«ãLv.2ã¯ãã€ããªãããã©ããè¥ãããšããããšã¯äºå®ãšç°ãªã | ¬(¬{E}{b} & {D}{b}) | [
"fact8 -> int3: ä»®ã«ããã®ãŽããŽã«ãLv.2ã¯åŒãæãããšããããšã¯æ£ãããšãããšããã®ãŽããŽã«ãLv.2ã¯ãã€ããªãããã©ããè¥ãããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 4 | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒãããè¥ããšããã°å¥¥åºãã fact2: ãã®ãŸãªãŸã®Lv.39ã¯å¥¥åºãã fact3: ããããã®ãŸãªãŸã®Lv.39ãåŒãæããªãã°ãã®ãŽããŽã«ãLv.2ã¯æããã fact4: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯åŒãæããšãããšããã€ããªãããããããè¥ãããšããããšã¯åœã fact5: ããããã®ãŸãªãŸã®Lv.39ãåŒãæãããããã¯ããã奥åºãããšãããããã¯å°ããªã fact6: ããããã®ã·ã¡ãã·ã«ãLv.63ã¯å¥¥åºããããšããããšã¯æãç«ãŠã°ãã®ãŽããŽã«ãLv.2ã¯åœ¹ããããªã fact7: ããä»®ã«ãã®ãŽããŽã«ãLv.2ã奥åºãããªããšãããšãã®ãŸãªãŸã®Lv.39ã¯åŒãæããªãäžæ¹ã§ããè¥ã ; $hypothesis$ = ããã®ãŽããŽã«ãLv.2ã¯ãã€ããªãããã©ããè¥ãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {D}x -> {B}x fact2: {B}{a} fact3: {A}{a} -> {ER}{b} fact4: (x): {A}x -> ¬(¬{E}x & {D}x) fact5: ({A}{a} v {B}{a}) -> ¬{C}{a} fact6: {B}{c} -> ¬{FT}{b} fact7: ¬{B}{b} -> (¬{A}{a} & {D}{a}) ; $hypothesis$ = ¬(¬{E}{b} & {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã¿ãã¿ãLv.93ã¯å解ããé£ããŠãã€èŠãé£ãããšããããšã¯æãç«ããªã | ¬({C}{c} & {D}{c}) | fact1: ãã®ã·ãã·ã¡ãLv.76ã¯ãããã fact2: ä»®ã«ãã®ã¿ãã¿ãLv.93ãããããã°ãã®ã·ãã·ã¡ãLv.76ã¯èŠãé£ã fact3: ãã®ã¿ãã¿ãLv.93ããããããšãããšãã®ã·ãã·ã¡ãLv.76ã¯å解ããé£ã fact4: ãã®ã¿ãã¿ãLv.93ã¯ãããã fact5: ãã®ã¿ãã¿ãLv.93ã¯èŠãé£ã fact6: ãã®ã¿ãã¿ãLv.93ã¯åºæã fact7: ãããã®ã·ãã·ã¡ãLv.76ããããããšããããã®ãŸããŸãLv.44ã¯æ
ãŸãã fact8: ãã®ã¿ãã¿ãLv.93ã¯éæ®ã£ãã | fact1: {A}{a} fact2: {A}{c} -> {D}{a} fact3: {A}{c} -> {C}{a} fact4: {A}{c} fact5: {D}{c} fact6: {JJ}{c} fact7: {A}{a} -> {B}{b} fact8: {FK}{c} | [
"fact7 & fact1 -> int1: ãã®ãŸããŸãLv.44ã¯æ
ãŸãã;"
] | [
"fact7 & fact1 -> int1: {B}{b};"
] | null | null | [] | null | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã·ãã·ã¡ãLv.76ã¯ãããã fact2: ä»®ã«ãã®ã¿ãã¿ãLv.93ãããããã°ãã®ã·ãã·ã¡ãLv.76ã¯èŠãé£ã fact3: ãã®ã¿ãã¿ãLv.93ããããããšãããšãã®ã·ãã·ã¡ãLv.76ã¯å解ããé£ã fact4: ãã®ã¿ãã¿ãLv.93ã¯ãããã fact5: ãã®ã¿ãã¿ãLv.93ã¯èŠãé£ã fact6: ãã®ã¿ãã¿ãLv.93ã¯åºæã fact7: ãããã®ã·ãã·ã¡ãLv.76ããããããšããããã®ãŸããŸãLv.44ã¯æ
ãŸãã fact8: ãã®ã¿ãã¿ãLv.93ã¯éæ®ã£ãã ; $hypothesis$ = ããã®ã¿ãã¿ãLv.93ã¯å解ããé£ããŠãã€èŠãé£ãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {A}{c} -> {D}{a} fact3: {A}{c} -> {C}{a} fact4: {A}{c} fact5: {D}{c} fact6: {JJ}{c} fact7: {A}{a} -> {B}{b} fact8: {FK}{c} ; $hypothesis$ = ¬({C}{c} & {D}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŽããŽã®Lv.16äºä»¶ãèµ·ãã | {B} | fact1: ããä»®ã«ããŸã«ããŸã«ãLv.14äºä»¶ãçããããã®äžå¥œããããšããããšãçããããšããããšã¯æãç«ããªããšããããŽããŽã®Lv.16äºä»¶ã¯èµ·ãããªã fact2: èŠåºã ãé£ããšããããšãèµ·ãã fact3: èŠåºã ãé£ããšããããšã¯ããŽããŽã®Lv.16äºä»¶ã¯èµ·ããªãããšããããšãé»ã | fact1: ¬({D} & {C}) -> ¬{B} fact2: {A} fact3: {A} -> {B} | [
"fact2 -> int1: èŠåºã ãé£ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ãœããœãLv.1äºä»¶ãçãã | {DN} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããŸã«ããŸã«ãLv.14äºä»¶ãçããããã®äžå¥œããããšããããšãçããããšããããšã¯æãç«ããªããšããããŽããŽã®Lv.16äºä»¶ã¯èµ·ãããªã fact2: èŠåºã ãé£ããšããããšãèµ·ãã fact3: èŠåºã ãé£ããšããããšã¯ããŽããŽã®Lv.16äºä»¶ã¯èµ·ããªãããšããããšãé»ã ; $hypothesis$ = ãŽããŽã®Lv.16äºä»¶ãèµ·ãã ; $proof$ = | fact2 -> int1: èŠåºã ãé£ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬({D} & {C}) -> ¬{B} fact2: {A} fact3: {A} -> {B} ; $hypothesis$ = {B} ; $proof$ = | fact2 -> int1: {A}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | åæ®æãããšããããšãçºçãã | {E} | fact1: 人éã£ãœããšããããšãèµ·ãã fact2: æãåºæ·±ããšããããšã¯å¿åŒ·ããšããããšãèµ·ãããšããããšã«åž°çµãã fact3: ãããèãããšããããšã¯çããªãããšããããšã¯ç¢ºãã ãšãããããããããšããããšãçºçããäžæ¹ã§å¿åŒ·ããšããããšã¯çºçããªã fact4: å¿åŒ·ããšããããšãšããããããšããããšãèµ·ããã°ãåæ®æãããšããããšã¯èµ·ããªãããšããããšã¯äºå®ã§ãã fact5: å¿åŒ·ããšããããšã¯èµ·ãããªããšããããšã¯æŽåŸ©ããããšã«é»æ¢ããã fact6: ããããããšããããšãçºçãã fact7: æãåºæ·±ããšããããšãèµ·ããããŸãã¯æŽåŸ©ããããšãçãã | fact1: {AO} fact2: {A} -> {C} fact3: ¬{F} -> ({D} & ¬{C}) fact4: ({C} & {D}) -> ¬{E} fact5: {B} -> {C} fact6: {D} fact7: ({A} v {B}) | [
"fact7 & fact2 & fact5 -> int1: å¿åŒ·ããšããããšãçºçãã; int1 & fact6 -> int2: å¿åŒ·ããšããããšãšããããããšããããšãçãã; int2 & fact4 -> hypothesis;"
] | [
"fact7 & fact2 & fact5 -> int1: {C}; int1 & fact6 -> int2: ({C} & {D}); int2 & fact4 -> hypothesis;"
] | åæ®æãããšããããšãçºçãã | {E} | [] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 人éã£ãœããšããããšãèµ·ãã fact2: æãåºæ·±ããšããããšã¯å¿åŒ·ããšããããšãèµ·ãããšããããšã«åž°çµãã fact3: ãããèãããšããããšã¯çããªãããšããããšã¯ç¢ºãã ãšãããããããããšããããšãçºçããäžæ¹ã§å¿åŒ·ããšããããšã¯çºçããªã fact4: å¿åŒ·ããšããããšãšããããããšããããšãèµ·ããã°ãåæ®æãããšããããšã¯èµ·ããªãããšããããšã¯äºå®ã§ãã fact5: å¿åŒ·ããšããããšã¯èµ·ãããªããšããããšã¯æŽåŸ©ããããšã«é»æ¢ããã fact6: ããããããšããããšãçºçãã fact7: æãåºæ·±ããšããããšãèµ·ããããŸãã¯æŽåŸ©ããããšãçãã ; $hypothesis$ = åæ®æãããšããããšãçºçãã ; $proof$ = | fact7 & fact2 & fact5 -> int1: å¿åŒ·ããšããããšãçºçãã; int1 & fact6 -> int2: å¿åŒ·ããšããããšãšããããããšããããšãçãã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AO} fact2: {A} -> {C} fact3: ¬{F} -> ({D} & ¬{C}) fact4: ({C} & {D}) -> ¬{E} fact5: {B} -> {C} fact6: {D} fact7: ({A} v {B}) ; $hypothesis$ = {E} ; $proof$ = | fact7 & fact2 & fact5 -> int1: {C}; int1 & fact6 -> int2: ({C} & {D}); int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | éãç¡ããšããããšãèµ·ãã | {D} | fact1: ãç·ã£ãœããšããããšã¯ã¿ãã¿ãLv.5äºä»¶ãåå ã ããšããããšã¯ééãã§ãªã fact2: ãéãç¡ããšããããšã¯èµ·ããªãããšããããšã¯å±ãæããšããããšããããã¯ç·ã£ãœããšããããšã«ããçãã fact3: ã·ãã·ã«ãLv.23äºä»¶ã¯çããªããšããããšã¯ã掻æ§ã»å¢æ®ããããšãšéãç¡ããšããããšãèµ·ããããšããããšã®åå ãšãªã fact4: éãç¡ããšããããšã¯å±ãæããšããããšã«é²ããã | fact1: {A} -> {B} fact2: ({C} v {B}) -> ¬{D} fact3: ¬{F} -> ({E} & {D}) fact4: {C} -> ¬{D} | [] | [] | ççœããšããããšãèµ·ãã | {ES} | [] | 6 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãç·ã£ãœããšããããšã¯ã¿ãã¿ãLv.5äºä»¶ãåå ã ããšããããšã¯ééãã§ãªã fact2: ãéãç¡ããšããããšã¯èµ·ããªãããšããããšã¯å±ãæããšããããšããããã¯ç·ã£ãœããšããããšã«ããçãã fact3: ã·ãã·ã«ãLv.23äºä»¶ã¯çããªããšããããšã¯ã掻æ§ã»å¢æ®ããããšãšéãç¡ããšããããšãèµ·ããããšããããšã®åå ãšãªã fact4: éãç¡ããšããããšã¯å±ãæããšããããšã«é²ããã ; $hypothesis$ = éãç¡ããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: ({C} v {B}) -> ¬{D} fact3: ¬{F} -> ({E} & {D}) fact4: {C} -> ¬{D} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ããœããœãLv.62äºä»¶ãšã¿ãã¿ãLv.61äºä»¶ãçããããšããããšã¯åœã | ¬({B} & {C}) | fact1: çç£ãç¶ããããšãèµ·ããããŽã«ããŽã«Lv.65äºä»¶ãèµ·ãã fact2: æç« åããããšãèµ·ãã fact3: ãœããœãLv.91äºä»¶ãšåŠæç¡ããšããããšã©ã¡ãããèµ·ãã fact4: æç« åããããšãèµ·ããããœããœãLv.62äºä»¶ãçãã fact5: ã¿ãã¿ãLv.61äºä»¶ãèµ·ãã | fact1: ({IS} & {EJ}) fact2: {A} fact3: ({CJ} & {IL}) fact4: ({A} & {B}) fact5: {C} | [
"fact4 -> int1: ãœããœãLv.62äºä»¶ãèµ·ãã; int1 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: çç£ãç¶ããããšãèµ·ããããŽã«ããŽã«Lv.65äºä»¶ãèµ·ãã fact2: æç« åããããšãèµ·ãã fact3: ãœããœãLv.91äºä»¶ãšåŠæç¡ããšããããšã©ã¡ãããèµ·ãã fact4: æç« åããããšãèµ·ããããœããœãLv.62äºä»¶ãçãã fact5: ã¿ãã¿ãLv.61äºä»¶ãèµ·ãã ; $hypothesis$ = ããœããœãLv.62äºä»¶ãšã¿ãã¿ãLv.61äºä»¶ãçããããšããããšã¯åœã ; $proof$ = | fact4 -> int1: ãœããœãLv.62äºä»¶ãèµ·ãã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({IS} & {EJ}) fact2: {A} fact3: ({CJ} & {IL}) fact4: ({A} & {B}) fact5: {C} ; $hypothesis$ = ¬({B} & {C}) ; $proof$ = | fact4 -> int1: {B}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | 矚ãŸãããšããããšãçãã | {D} | fact1: ã矚ãŸãããšããããšãçºçãããã·ãã·ã«ãLv.2äºä»¶ãèµ·ããããšããããšã¯ãæžãæããšããããšã¯èµ·ããªãããšããããšã«ããçºçãã fact2: ã·ãã·ã«ãLv.2äºä»¶ãšæžãæããšããããšãçãã fact3: 矚ãŸãããšããããšã¯ãæžãæããšããããšãèµ·ãããå©ãé£ããšããããšãçããããšããããšã«é»ãŸãã fact4: å©ãé£ããšããããšãèµ·ãã | fact1: ¬{B} -> ({D} & {A}) fact2: ({A} & {B}) fact3: ({B} & {C}) -> ¬{D} fact4: {C} | [
"fact2 -> int1: æžãæããšããããšãçºçãã; int1 & fact4 -> int2: æžãæããšããããšãçºçãããå ããŠå©ãé£ããšããããšãçãã; int2 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact3 -> hypothesis;"
] | 矚ãŸãããšããããšãçãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã矚ãŸãããšããããšãçºçãããã·ãã·ã«ãLv.2äºä»¶ãèµ·ããããšããããšã¯ãæžãæããšããããšã¯èµ·ããªãããšããããšã«ããçºçãã fact2: ã·ãã·ã«ãLv.2äºä»¶ãšæžãæããšããããšãçãã fact3: 矚ãŸãããšããããšã¯ãæžãæããšããããšãèµ·ãããå©ãé£ããšããããšãçããããšããããšã«é»ãŸãã fact4: å©ãé£ããšããããšãèµ·ãã ; $hypothesis$ = 矚ãŸãããšããããšãçãã ; $proof$ = | fact2 -> int1: æžãæããšããããšãçºçãã; int1 & fact4 -> int2: æžãæããšããããšãçºçãããå ããŠå©ãé£ããšããããšãçãã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{B} -> ({D} & {A}) fact2: ({A} & {B}) fact3: ({B} & {C}) -> ¬{D} fact4: {C} ; $hypothesis$ = {D} ; $proof$ = | fact2 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœãLv.20ã¯æãããšããããšã¯ãªã | ¬{D}{b} | fact1: ãã®ãœã¡ããœãLv.66ã¯ç®å®ãé£ãããã€éããæã fact2: ããããã®ãœã¡ããœãLv.66ãé転ãæããšãããšãã®ãœããœãLv.20ã¯æãã fact3: ãããã®ãœã¡ããœãLv.66ãç®å®ãé£ããšãããšãã®ãœã¡ããœãLv.66ã¯é転ãæã | fact1: ({A}{a} & {B}{a}) fact2: {C}{a} -> {D}{b} fact3: {A}{a} -> {C}{a} | [
"fact1 -> int1: ãã®ãœã¡ããœãLv.66ã¯ç®å®ãé£ã; int1 & fact3 -> int2: ãã®ãœã¡ããœãLv.66ã¯é転ãæã; int2 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãœã¡ããœãLv.66ã¯ç®å®ãé£ãããã€éããæã fact2: ããããã®ãœã¡ããœãLv.66ãé転ãæããšãããšãã®ãœããœãLv.20ã¯æãã fact3: ãããã®ãœã¡ããœãLv.66ãç®å®ãé£ããšãããšãã®ãœã¡ããœãLv.66ã¯é転ãæã ; $hypothesis$ = ãã®ãœããœãLv.20ã¯æãããšããããšã¯ãªã ; $proof$ = | fact1 -> int1: ãã®ãœã¡ããœãLv.66ã¯ç®å®ãé£ã; int1 & fact3 -> int2: ãã®ãœã¡ããœãLv.66ã¯é転ãæã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {C}{a} -> {D}{b} fact3: {A}{a} -> {C}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | åªããããšããããšã¯çããªã | ¬{D} | fact1: ãŽããŽã«ãLv.64äºä»¶ãèµ·ãã fact2: åããèŸããšããããšãèµ·ããããŸãçèŸããšããããšãèµ·ãã fact3: 溶ãé£ããšããããšãèµ·ãã fact4: ã¿ã«ãã¿ãLv.90äºä»¶ãèµ·ãã fact5: åªããããšããããšã¯ãã¿ã«ã¿ã¡ãLv.56äºä»¶ãèµ·ããããšããããšãåå ã fact6: çèŸããšããããšãèµ·ãããšããããšã¯ãã¿ã«ã¿ã¡ãLv.56äºä»¶ã¯èµ·ãããªãããšããããšãåé¿ãã fact7: ãããããLv.50äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã | fact1: {FB} fact2: ({A} & {B}) fact3: {HA} fact4: {HP} fact5: {C} -> {D} fact6: {B} -> {C} fact7: {EM} | [
"fact2 -> int1: çèŸããšããããšãèµ·ãã; int1 & fact6 -> int2: ã¿ã«ã¿ã¡ãLv.56äºä»¶ãçãã; int2 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact5 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŽããŽã«ãLv.64äºä»¶ãèµ·ãã fact2: åããèŸããšããããšãèµ·ããããŸãçèŸããšããããšãèµ·ãã fact3: 溶ãé£ããšããããšãèµ·ãã fact4: ã¿ã«ãã¿ãLv.90äºä»¶ãèµ·ãã fact5: åªããããšããããšã¯ãã¿ã«ã¿ã¡ãLv.56äºä»¶ãèµ·ããããšããããšãåå ã fact6: çèŸããšããããšãèµ·ãããšããããšã¯ãã¿ã«ã¿ã¡ãLv.56äºä»¶ã¯èµ·ãããªãããšããããšãåé¿ãã fact7: ãããããLv.50äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = åªããããšããããšã¯çããªã ; $proof$ = | fact2 -> int1: çèŸããšããããšãèµ·ãã; int1 & fact6 -> int2: ã¿ã«ã¿ã¡ãLv.56äºä»¶ãçãã; int2 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {FB} fact2: ({A} & {B}) fact3: {HA} fact4: {HP} fact5: {C} -> {D} fact6: {B} -> {C} fact7: {EM} ; $hypothesis$ = ¬{D} ; $proof$ = | fact2 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ã·ã«ã·ãLv.82ã¯åŸ¡æªãããŸãã¯èª¬æãé£ãããšããããšã¯çå®ã§ããããšããããšã¯æãç«ããªã | ¬({B}{a} v {C}{a}) | fact1: ãã®ã·ã«ã·ãLv.82ã¯æãåºæ·±ãããŸã埡æªã fact2: ãã®ã·ã«ã·ãLv.82ãæãåºæ·±ããªããã®ãŽã¡ããŽã®Lv.19ã¯èª¬æãé£ã fact3: ããããã®ãããã¡ãLv.45ãå¿å®ããªãã°ãã®ãããã¡ãLv.22ã¯æ¢ã¿é£ãäžæ¹ã§æã£ãããªã fact4: ããã®ã·ã«ã·ãLv.82ã¯æãåºæ·±ãããšããããšã¯æãç«ã€ fact5: ãã®ãŸã«ããŸã«ãLv.16ã¯çãããŸãæãåºæ·±ã fact6: æ¢ã¿é£ããªãã¢ã³ã¹ã¿ãŒã¯åŸ¡æªããæŽã«æãåºæ·±ã | fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> {C}{hp} fact3: {E}{c} -> ({D}{b} & ¬{F}{b}) fact4: {A}{a} fact5: ({IU}{gk} & {A}{gk}) fact6: (x): ¬{D}x -> ({B}x & {A}x) | [
"fact1 -> int1: ãã®ã·ã«ã·ãLv.82ã¯åŸ¡æªã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 -> hypothesis;"
] | ããã®ãŽã¡ããŽã®Lv.19ã¯èª¬æãé£ãããšããããšã¯æãç«ã€ | {C}{hp} | [
"fact7 -> int2: ããä»®ã«ããã®ã·ã«ã·ãLv.82ã¯æ¢ã¿é£ããªãããšããããšã¯æãç«ã€ãªãããã¯åŸ¡æªãããã€ããã¯æãåºæ·±ã;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã·ãLv.82ã¯æãåºæ·±ãããŸã埡æªã fact2: ãã®ã·ã«ã·ãLv.82ãæãåºæ·±ããªããã®ãŽã¡ããŽã®Lv.19ã¯èª¬æãé£ã fact3: ããããã®ãããã¡ãLv.45ãå¿å®ããªãã°ãã®ãããã¡ãLv.22ã¯æ¢ã¿é£ãäžæ¹ã§æã£ãããªã fact4: ããã®ã·ã«ã·ãLv.82ã¯æãåºæ·±ãããšããããšã¯æãç«ã€ fact5: ãã®ãŸã«ããŸã«ãLv.16ã¯çãããŸãæãåºæ·±ã fact6: æ¢ã¿é£ããªãã¢ã³ã¹ã¿ãŒã¯åŸ¡æªããæŽã«æãåºæ·±ã ; $hypothesis$ = ãããã®ã·ã«ã·ãLv.82ã¯åŸ¡æªãããŸãã¯èª¬æãé£ãããšããããšã¯çå®ã§ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ã·ã«ã·ãLv.82ã¯åŸ¡æªã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> {C}{hp} fact3: {E}{c} -> ({D}{b} & ¬{F}{b}) fact4: {A}{a} fact5: ({IU}{gk} & {A}{gk}) fact6: (x): ¬{D}x -> ({B}x & {A}x) ; $hypothesis$ = ¬({B}{a} v {C}{a}) ; $proof$ = | fact1 -> int1: {B}{a}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ã
ãœã«ãLv.54ã¯éµéãã | {C}{b} | fact1: ãåžåããæããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãã®ãŽã«ãŽã«ãLv.42ã¯åžåããæã fact3: ä»®ã«è²ãŠæããªãã¢ã³ã¹ã¿ãŒãäœãããªããªãã°ããã¯çœã
ãããªã fact4: ãã®ã·ã«ã·ã«Lv.74ã¯éµéãã fact5: ããããã®ãŽã«ãŽã«ãLv.42ãçœã
ãããªããšãããšéµéãããå ããŠã¡ããã fact6: ããä»®ã«åžåããæãã¢ã³ã¹ã¿ãŒã¯ã¡ããããªãã°ããã®ãœã¡ã
ãœã«ãLv.54ã¯éµéããªãããšããããšã¯çå®ã§ãã | fact1: (Ex): {A}x fact2: {A}{a} fact3: (x): (¬{E}x & ¬{F}x) -> ¬{D}x fact4: {C}{in} fact5: ¬{D}{a} -> ({C}{a} & {B}{a}) fact6: (x): ({A}x & {B}x) -> ¬{C}{b} | [] | [] | ãã®ãœã¡ã
ãœã«ãLv.54ã¯éµéãã | {C}{b} | [
"fact8 -> int1: ä»®ã«ãã®ãŽã«ãŽã«ãLv.42ã¯è²ãŠæããªããŠãã®äžäœãããªããšãããšãçœã
ãããªãããšããããšã¯äºå®ã ;"
] | 7 | 3 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãåžåããæããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãã®ãŽã«ãŽã«ãLv.42ã¯åžåããæã fact3: ä»®ã«è²ãŠæããªãã¢ã³ã¹ã¿ãŒãäœãããªããªãã°ããã¯çœã
ãããªã fact4: ãã®ã·ã«ã·ã«Lv.74ã¯éµéãã fact5: ããããã®ãŽã«ãŽã«ãLv.42ãçœã
ãããªããšãããšéµéãããå ããŠã¡ããã fact6: ããä»®ã«åžåããæãã¢ã³ã¹ã¿ãŒã¯ã¡ããããªãã°ããã®ãœã¡ã
ãœã«ãLv.54ã¯éµéããªãããšããããšã¯çå®ã§ãã ; $hypothesis$ = ãã®ãœã¡ã
ãœã«ãLv.54ã¯éµéãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): {A}x fact2: {A}{a} fact3: (x): (¬{E}x & ¬{F}x) -> ¬{D}x fact4: {C}{in} fact5: ¬{D}{a} -> ({C}{a} & {B}{a}) fact6: (x): ({A}x & {B}x) -> ¬{C}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããçæ°ãããšããã°ãç°è²ã£ãœãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ããšããããšã¯æ¬åœã§ãªã | ¬((Ex): {A}x -> {C}x) | fact1: ä»®ã«ãã®ã·ãã·ãLv.38ãçæ°ãããšããã°èãåãé£ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çæ°ãããšããã°ãç°è²ã£ãœãããšããããšã¯æãç«ã€ fact3: é ãã¢ã³ã¹ã¿ãŒã¯ç°è²ã£ãœã fact4: ãããä»®ã«å¿æ·±ããšããã°ããã°ãããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ãä»®ã«å€§äººããšããã°ãæãæãããšããããšã¯ç¢ºãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ããããã®ã·ãã·ãLv.38ãçžé ããªãããã¯ç°è²ã£ãœã | fact1: {A}{aa} -> {AF}{aa} fact2: (x): {A}x -> {C}x fact3: (x): {GQ}x -> {C}x fact4: (Ex): {BE}x -> {CK}x fact5: (Ex): {FL}x -> {AJ}x fact6: {CR}{aa} -> {C}{aa} | [
"fact2 -> int1: ä»®ã«ãã®ã·ãã·ãLv.38ãçæ°ãããšãããããã¯ç°è²ã£ãœã; int1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{aa} -> {C}{aa}; int1 -> hypothesis;"
] | ãã®ãŸã«ã
ãŸãLv.50ã¯é ããšãããšããã®ãŸã«ã
ãŸãLv.50ã¯ç°è²ã£ãœãããšããããšã¯æ¬åœã | {GQ}{ah} -> {C}{ah} | [
"fact7 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ä»®ã«ãã®ã·ãã·ãLv.38ãçæ°ãããšããã°èãåãé£ã fact2: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çæ°ãããšããã°ãç°è²ã£ãœãããšããããšã¯æãç«ã€ fact3: é ãã¢ã³ã¹ã¿ãŒã¯ç°è²ã£ãœã fact4: ãããä»®ã«å¿æ·±ããšããã°ããã°ãããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ãä»®ã«å€§äººããšããã°ãæãæãããšããããšã¯ç¢ºãã§ãããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ããããã®ã·ãã·ãLv.38ãçžé ããªãããã¯ç°è²ã£ãœã ; $hypothesis$ = ãããçæ°ãããšããã°ãç°è²ã£ãœãããšããããšã¯æãç«ã€ãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ããšããããšã¯æ¬åœã§ãªã ; $proof$ = | fact2 -> int1: ä»®ã«ãã®ã·ãã·ãLv.38ãçæ°ãããšãããããã¯ç°è²ã£ãœã; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{aa} -> {AF}{aa} fact2: (x): {A}x -> {C}x fact3: (x): {GQ}x -> {C}x fact4: (Ex): {BE}x -> {CK}x fact5: (Ex): {FL}x -> {AJ}x fact6: {CR}{aa} -> {C}{aa} ; $hypothesis$ = ¬((Ex): {A}x -> {C}x) ; $proof$ = | fact2 -> int1: {A}{aa} -> {C}{aa}; int1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã«ãŽãLv.15ã¯æããããŸãã¯åç¡ãããšããããšã¯äºå®ãšç°ãªã | ¬({C}{b} v {D}{b}) | fact1: ãã®ãããã¡ãLv.62ã¯èã£ãããªã fact2: ä»®ã«ãã®ãããã¡ãLv.62ãèã£ãããªããªããã®ãŽã«ãŽãLv.15ã¯ãæã | fact1: ¬{A}{a} fact2: ¬{A}{a} -> {B}{b} | [
"fact2 & fact1 -> int1: ãã®ãŽã«ãŽãLv.15ã¯ãæã;"
] | [
"fact2 & fact1 -> int1: {B}{b};"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãããã¡ãLv.62ã¯èã£ãããªã fact2: ä»®ã«ãã®ãããã¡ãLv.62ãèã£ãããªããªããã®ãŽã«ãŽãLv.15ã¯ãæã ; $hypothesis$ = ããã®ãŽã«ãŽãLv.15ã¯æããããŸãã¯åç¡ãããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} fact2: ¬{A}{a} -> {B}{b} ; $hypothesis$ = ¬({C}{b} v {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãœã«ããœã¡ãLv.25ã¯åº§ãæãããŸãå¿ãŸå¿ãŸããããšããããšã¯èª€ã£ãŠãã | ¬({A}{aa} & {C}{aa}) | fact1: ãã®ã·ã®ã·ã«Lv.18ã¯ä¹ãæã fact2: ãã®ãœã«ããœã¡ãLv.25ã¯åº§ãæã fact3: ãã®ãœã«ããœã¡ãLv.25ã¯è¡åè²·ããããšããããšã¯ãªã | fact1: {BC}{bf} fact2: {A}{aa} fact3: ¬{B}{aa} | [] | [] | ãã®ã·ã®ã·ã«Lv.18ã¯ä¹ãæãããããå
¥ãç¶ãã | ({BC}{bf} & {JB}{bf}) | [] | 6 | 3 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ã®ã·ã«Lv.18ã¯ä¹ãæã fact2: ãã®ãœã«ããœã¡ãLv.25ã¯åº§ãæã fact3: ãã®ãœã«ããœã¡ãLv.25ã¯è¡åè²·ããããšããããšã¯ãªã ; $hypothesis$ = ããã®ãœã«ããœã¡ãLv.25ã¯åº§ãæãããŸãå¿ãŸå¿ãŸããããšããããšã¯èª€ã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {BC}{bf} fact2: {A}{aa} fact3: ¬{B}{aa} ; $hypothesis$ = ¬({A}{aa} & {C}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã«ããã«ã
Lv.63ã¯è©±ãèŸããªã | ¬{C}{b} | fact1: ãããã®ãœã«ããœãLv.95ãçšè¯ããªãã°ãã®ããããLv.91ã¯çšè¯ã fact2: ãããããã®ãã«ããã«ã
Lv.63ã¯çšè¯ãããšããããšã¯æ¬åœã§ãããšããããã®ãã«ããã«ã
Lv.63ã¯è©±ãèŸã fact3: ãã®ã¿ãã¿ãªLv.99ã¯èŠã fact4: ããããã®ãœã«ããœãLv.95ãèŠããšããããã®ãã«ããã«ã
Lv.63ã¯çšè¯ã fact5: ãã®ãœã«ããœãLv.95ã¯èŠã | fact1: {B}{a} -> {B}{j} fact2: {B}{b} -> {C}{b} fact3: {A}{al} fact4: {A}{a} -> {B}{b} fact5: {A}{a} | [
"fact4 & fact5 -> int1: ãã®ãã«ããã«ã
Lv.63ã¯çšè¯ã; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | ãã®ããããLv.91ã¯çšè¯ã | {B}{j} | [] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãœã«ããœãLv.95ãçšè¯ããªãã°ãã®ããããLv.91ã¯çšè¯ã fact2: ãããããã®ãã«ããã«ã
Lv.63ã¯çšè¯ãããšããããšã¯æ¬åœã§ãããšããããã®ãã«ããã«ã
Lv.63ã¯è©±ãèŸã fact3: ãã®ã¿ãã¿ãªLv.99ã¯èŠã fact4: ããããã®ãœã«ããœãLv.95ãèŠããšããããã®ãã«ããã«ã
Lv.63ã¯çšè¯ã fact5: ãã®ãœã«ããœãLv.95ã¯èŠã ; $hypothesis$ = ãã®ãã«ããã«ã
Lv.63ã¯è©±ãèŸããªã ; $proof$ = | fact4 & fact5 -> int1: ãã®ãã«ããã«ã
Lv.63ã¯çšè¯ã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> {B}{j} fact2: {B}{b} -> {C}{b} fact3: {A}{al} fact4: {A}{a} -> {B}{b} fact5: {A}{a} ; $hypothesis$ = ¬{C}{b} ; $proof$ = | fact4 & fact5 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸããŸãLv.38ã¯è¥ããšããããšã¯ãªã | ¬{A}{a} | fact1: ãä»®ã«çšè¿ãã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ãŸããŸã¡ã
Lv.80ã¯åºãŒããªãããããåœãŠä»ãããŸããããšããããšã¯ééã£ãŠããããšããããšã¯åã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãä»®ã«çšè¿ãã¢ã³ã¹ã¿ãŒã¯ãããšãããããã®ãŸããŸã¡ã
Lv.80ã¯åºãŒããªãããããåœãŠä»ãããŸããããšããããšã¯ééã£ãŠããããšããããšã¯åã ; $hypothesis$ = ãã®ãŸããŸãLv.38ã¯è¥ããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ã«ã
Lv.75ã¯çžå¿ãã | {C}{c} | fact1: ããããã®ãœã®ãœãLv.87ã¯å«å³ã£ãœããšãããšããã®ã·ã¡ãã·ãLv.95ã¯å«å³ã£ãœãããããã¯ããã€ãªããªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ãã fact2: ãããããã®ã·ã¡ãã·ãLv.95ã¯äœãæãããšããããšã¯äºå®ãªããã®ãœã®ãœãLv.87ã¯äœãæã fact3: ä»®ã«ããã®ã·ã¡ãã·ãLv.95ã¯å«å³ã£ãœãããŸãã¯ããã¯ããã€ãªããªãããšããããšã¯æãç«ããªããšããããã®ã¿ãã¿ã«ã
Lv.75ã¯çžå¿ãããšããããšã¯ãªã fact4: ããã®ãŸã«ã
ãŸãªLv.98ã¯ããã€ãªãããããã¯ããã¯ãã€ãã£ãããããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã ããšããããšã¯åœã§ãã fact5: ãã®ãœã®ãœãLv.87ã¯äœãæããŠããã«å«å³ã£ãœã fact6: ãã®ã·ã¡ãã·ãLv.95ã¯ããã€ãªããŠããã«äœãæã | fact1: {B}{a} -> ¬({B}{b} v ¬{D}{b}) fact2: {A}{b} -> {A}{a} fact3: ¬({B}{b} v ¬{D}{b}) -> ¬{C}{c} fact4: ¬({D}{cj} v ¬{AF}{cj}) fact5: ({A}{a} & {B}{a}) fact6: ({D}{b} & {A}{b}) | [
"fact5 -> int1: ãã®ãœã®ãœãLv.87ã¯å«å³ã£ãœã; int1 & fact1 -> int2: ããã®ã·ã¡ãã·ãLv.95ã¯å«å³ã£ãœããããã€ãªããªãããšããããšã¯åã ; int2 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact1 -> int2: ¬({B}{b} v ¬{D}{b}); int2 & fact3 -> hypothesis;"
] | ãã®ãœã®ãœãLv.87ã¯äœãæããçžäŒŽã | ({A}{a} & {AQ}{a}) | [
"fact8 -> int3: ãã®ã·ã¡ãã·ãLv.95ã¯äœãæã; fact7 & int3 -> int4: ãã®ãœã®ãœãLv.87ã¯äœãæã;"
] | 5 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœã®ãœãLv.87ã¯å«å³ã£ãœããšãããšããã®ã·ã¡ãã·ãLv.95ã¯å«å³ã£ãœãããããã¯ããã€ãªããªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ãã fact2: ãããããã®ã·ã¡ãã·ãLv.95ã¯äœãæãããšããããšã¯äºå®ãªããã®ãœã®ãœãLv.87ã¯äœãæã fact3: ä»®ã«ããã®ã·ã¡ãã·ãLv.95ã¯å«å³ã£ãœãããŸãã¯ããã¯ããã€ãªããªãããšããããšã¯æãç«ããªããšããããã®ã¿ãã¿ã«ã
Lv.75ã¯çžå¿ãããšããããšã¯ãªã fact4: ããã®ãŸã«ã
ãŸãªLv.98ã¯ããã€ãªãããããã¯ããã¯ãã€ãã£ãããããšããããšã¯ãªãããããã¯äž¡æ¹ãšãã ããšããããšã¯åœã§ãã fact5: ãã®ãœã®ãœãLv.87ã¯äœãæããŠããã«å«å³ã£ãœã fact6: ãã®ã·ã¡ãã·ãLv.95ã¯ããã€ãªããŠããã«äœãæã ; $hypothesis$ = ãã®ã¿ãã¿ã«ã
Lv.75ã¯çžå¿ãã ; $proof$ = | fact5 -> int1: ãã®ãœã®ãœãLv.87ã¯å«å³ã£ãœã; int1 & fact1 -> int2: ããã®ã·ã¡ãã·ãLv.95ã¯å«å³ã£ãœããããã€ãªããªãããšããããšã¯åã ; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> ¬({B}{b} v ¬{D}{b}) fact2: {A}{b} -> {A}{a} fact3: ¬({B}{b} v ¬{D}{b}) -> ¬{C}{c} fact4: ¬({D}{cj} v ¬{AF}{cj}) fact5: ({A}{a} & {B}{a}) fact6: ({D}{b} & {A}{b}) ; $hypothesis$ = {C}{c} ; $proof$ = | fact5 -> int1: {B}{a}; int1 & fact1 -> int2: ¬({B}{b} v ¬{D}{b}); int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã®ã¿ã«ãLv.27ã¯çµ¶ãéç¡ãããããè¡ããæã | ({C}{b} & {D}{b}) | fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é¿ãé£ããªããªããããã¯çµ¶ãéç¡ããè¡ããæãããšããããšã¯æãç«ããªã fact2: ãã®ãŸããŸãLv.32ã¯é¿ãé£ã fact3: ãããã®ãŸããŸãLv.32ãé¿ãé£ããšããã°ãã®ã¿ã®ã¿ã«ãLv.27ã¯çã¿é£ã fact4: ãã®ã¿ã®ã¿ã«ãLv.27ã¯è¡ããæã fact5: ãããã®ã¿ã®ã¿ã«ãLv.27ãçã¿é£ããšãããšãã®ã¿ã®ã¿ã«ãLv.27ã¯çµ¶ãéç¡ã fact6: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã匷ããªãããã¯é²ãæã | fact1: (x): ¬{A}x -> ¬({C}x & {D}x) fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: {D}{b} fact5: {B}{b} -> {C}{b} fact6: (x): {CI}x -> {ER}x | [
"fact3 & fact2 -> int1: ãã®ã¿ã®ã¿ã«ãLv.27ã¯çã¿é£ã; int1 & fact5 -> int2: ãã®ã¿ã®ã¿ã«ãLv.27ã¯çµ¶ãéç¡ã; int2 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}{b}; int1 & fact5 -> int2: {C}{b}; int2 & fact4 -> hypothesis;"
] | ãããã®ã·ã«ã
ã·ãLv.24ã匷ããªããã®ã·ã«ã
ã·ãLv.24ã¯é²ãæã | {CI}{bh} -> {ER}{bh} | [
"fact7 -> hypothesis;"
] | 1 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é¿ãé£ããªããªããããã¯çµ¶ãéç¡ããè¡ããæãããšããããšã¯æãç«ããªã fact2: ãã®ãŸããŸãLv.32ã¯é¿ãé£ã fact3: ãããã®ãŸããŸãLv.32ãé¿ãé£ããšããã°ãã®ã¿ã®ã¿ã«ãLv.27ã¯çã¿é£ã fact4: ãã®ã¿ã®ã¿ã«ãLv.27ã¯è¡ããæã fact5: ãããã®ã¿ã®ã¿ã«ãLv.27ãçã¿é£ããšãããšãã®ã¿ã®ã¿ã«ãLv.27ã¯çµ¶ãéç¡ã fact6: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã匷ããªãããã¯é²ãæã ; $hypothesis$ = ãã®ã¿ã®ã¿ã«ãLv.27ã¯çµ¶ãéç¡ãããããè¡ããæã ; $proof$ = | fact3 & fact2 -> int1: ãã®ã¿ã®ã¿ã«ãLv.27ã¯çã¿é£ã; int1 & fact5 -> int2: ãã®ã¿ã®ã¿ã«ãLv.27ã¯çµ¶ãéç¡ã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{A}x -> ¬({C}x & {D}x) fact2: {A}{a} fact3: {A}{a} -> {B}{b} fact4: {D}{b} fact5: {B}{b} -> {C}{b} fact6: (x): {CI}x -> {ER}x ; $hypothesis$ = ({C}{b} & {D}{b}) ; $proof$ = | fact3 & fact2 -> int1: {B}{b}; int1 & fact5 -> int2: {C}{b}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.5ã¯èª€è§£ãæã | {B}{a} | fact1: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯èªãäŒãããšããã°ãåºé£ããªãããããã¯ã¿ã€ãã«ããããªãããããã¯ã©ã¡ããã ããšããããšã¯ééãã fact2: ãã®ãœã«ããœãLv.55ã¯èªãäŒãã | fact1: (x): {A}x -> ¬(¬{AA}x v ¬{AB}x) fact2: {A}{aa} | [
"fact1 -> int1: ããããã®ãœã«ããœãLv.55ã¯èªãäŒããã°ãåºé£ããªãããããã¯ã¿ã€ãã«ããããªãããŸãã¯äž¡æ¹ã ããšããããšã¯æ¬åœã§ãªã; int1 & fact2 -> int2: ããã®ãœã«ããœãLv.55ã¯åºé£ããªããã¿ã€ãã«ããããªãããããã¯ã©ã¡ããã ããšããããšã¯åã§ãã;"
] | [
"fact1 -> int1: {A}{aa} -> ¬(¬{AA}{aa} v ¬{AB}{aa}); int1 & fact2 -> int2: ¬(¬{AA}{aa} v ¬{AB}{aa});"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯èªãäŒãããšããã°ãåºé£ããªãããããã¯ã¿ã€ãã«ããããªãããããã¯ã©ã¡ããã ããšããããšã¯ééãã fact2: ãã®ãœã«ããœãLv.55ã¯èªãäŒãã ; $hypothesis$ = ãã®ãŽããŽãLv.5ã¯èª€è§£ãæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {A}x -> ¬(¬{AA}x v ¬{AB}x) fact2: {A}{aa} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã«ããLv.37äºä»¶ã¯èµ·ãããªã | ¬{D} | fact1: ãã¿ãã¿ã«Lv.2äºä»¶ã¯çããªãããšããããšã¯ééãã fact2: ç
®ãç¹°ãè¿ãããšã¯ãéããæããšããããšã¯çºçããªãããããçèŠãããšããããšã¯çããªãããšããããšãæã fact3: ã·ãã·ã«ãLv.48äºä»¶ããã³ãã«ã
ãã«Lv.54äºä»¶ãèµ·ãã fact4: ç«ãŠæããšããããšããã³èãçŽãããšãçãã fact5: çèŠãããšããããšãèµ·ãã fact6: ä»®ã«éããæããšããããšãçºçãããå ããŠçèŠãããšããããšãçºçãããšããã°ãã«ããLv.37äºä»¶ã¯èµ·ãããªã fact7: ã¿ãã¿ã«Lv.2äºä»¶ãšéããæããšããããšäž¡æ¹ãçºçãã fact8: ä»®ã«ãéããæããšããããšã¯çããªãããšããããšã¯æãç«ã€ãšãããšããã«ããLv.37äºä»¶ãçããããã€ã¿ãã¿ã«Lv.2äºä»¶ãçããããšããããšã¯çå®ã | fact1: {A} fact2: {E} -> (¬{B} & ¬{C}) fact3: ({DP} & {HP}) fact4: ({BH} & {EF}) fact5: {C} fact6: ({B} & {C}) -> ¬{D} fact7: ({A} & {B}) fact8: ¬{B} -> ({D} & {A}) | [
"fact7 -> int1: éããæããšããããšãèµ·ãã; int1 & fact5 -> int2: éããæããšããããšããã³çèŠãããšããããšäž¡æ¹ãšããçãã; int2 & fact6 -> hypothesis;"
] | [
"fact7 -> int1: {B}; int1 & fact5 -> int2: ({B} & {C}); int2 & fact6 -> hypothesis;"
] | ãã«ããLv.37äºä»¶ãèµ·ãã | {D} | [] | 7 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¿ãã¿ã«Lv.2äºä»¶ã¯çããªãããšããããšã¯ééãã fact2: ç
®ãç¹°ãè¿ãããšã¯ãéããæããšããããšã¯çºçããªãããããçèŠãããšããããšã¯çããªãããšããããšãæã fact3: ã·ãã·ã«ãLv.48äºä»¶ããã³ãã«ã
ãã«Lv.54äºä»¶ãèµ·ãã fact4: ç«ãŠæããšããããšããã³èãçŽãããšãçãã fact5: çèŠãããšããããšãèµ·ãã fact6: ä»®ã«éããæããšããããšãçºçãããå ããŠçèŠãããšããããšãçºçãããšããã°ãã«ããLv.37äºä»¶ã¯èµ·ãããªã fact7: ã¿ãã¿ã«Lv.2äºä»¶ãšéããæããšããããšäž¡æ¹ãçºçãã fact8: ä»®ã«ãéããæããšããããšã¯çããªãããšããããšã¯æãç«ã€ãšãããšããã«ããLv.37äºä»¶ãçããããã€ã¿ãã¿ã«Lv.2äºä»¶ãçããããšããããšã¯çå®ã ; $hypothesis$ = ãã«ããLv.37äºä»¶ã¯èµ·ãããªã ; $proof$ = | fact7 -> int1: éããæããšããããšãèµ·ãã; int1 & fact5 -> int2: éããæããšããããšããã³çèŠãããšããããšäž¡æ¹ãšããçãã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: {E} -> (¬{B} & ¬{C}) fact3: ({DP} & {HP}) fact4: ({BH} & {EF}) fact5: {C} fact6: ({B} & {C}) -> ¬{D} fact7: ({A} & {B}) fact8: ¬{B} -> ({D} & {A}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact7 -> int1: {B}; int1 & fact5 -> int2: ({B} & {C}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããã®ãã«ãããLv.96ã¯ãã°ãã°ãããŠå£ãæãããšããããšã¯ééã£ãŠãã | ¬({C}{aa} & {A}{aa}) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å£ãæãããããèšãèš³ããŸãã fact2: ãã®ãã«ãããLv.96ã¯ãã°ãã°ãã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãèšãèš³ã¯ãŸããããªããšãããšãããã¯ãã°ãã°ããããã€ããã¯å£ãæãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çèŸã fact5: èšãèš³ããŸããã¢ã³ã¹ã¿ãŒã¯åŸ¡èããã | fact1: (x): ({A}x & {B}x) fact2: {C}{aa} fact3: (x): ¬{B}x -> ¬({C}x & {A}x) fact4: (x): {CF}x fact5: (x): {B}x -> {AH}x | [
"fact1 -> int1: ãã®ãã«ãããLv.96ã¯å£ãæããŠãŸãèšãèš³ããŸãã; int1 -> int2: ãã®ãã«ãããLv.96ã¯å£ãæã; int2 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ({A}{aa} & {B}{aa}); int1 -> int2: {A}{aa}; int2 & fact2 -> hypothesis;"
] | ããã®ãã«ãããLv.96ã¯ãã°ãã°ãããŠå£ãæãããšããããšã¯ééã£ãŠãã | ¬({C}{aa} & {A}{aa}) | [
"fact6 -> int3: ããä»®ã«ãã®ãã«ãããLv.96ã¯èšãèš³ããŸãããšããããšã¯ãªããšããããããã¯ãã°ãã°ãããŠããã«å£ãæãããšããããšã¯æãç«ããªã;"
] | 4 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å£ãæãããããèšãèš³ããŸãã fact2: ãã®ãã«ãããLv.96ã¯ãã°ãã°ãã fact3: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãèšãèš³ã¯ãŸããããªããšãããšãããã¯ãã°ãã°ããããã€ããã¯å£ãæãããšããããšã¯äºå®ã ãšããããšã¯ãªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯çèŸã fact5: èšãèš³ããŸããã¢ã³ã¹ã¿ãŒã¯åŸ¡èããã ; $hypothesis$ = ããã®ãã«ãããLv.96ã¯ãã°ãã°ãããŠå£ãæãããšããããšã¯ééã£ãŠãã ; $proof$ = | fact1 -> int1: ãã®ãã«ãããLv.96ã¯å£ãæããŠãŸãèšãèš³ããŸãã; int1 -> int2: ãã®ãã«ãããLv.96ã¯å£ãæã; int2 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ({A}x & {B}x) fact2: {C}{aa} fact3: (x): ¬{B}x -> ¬({C}x & {A}x) fact4: (x): {CF}x fact5: (x): {B}x -> {AH}x ; $hypothesis$ = ¬({C}{aa} & {A}{aa}) ; $proof$ = | fact1 -> int1: ({A}{aa} & {B}{aa}); int1 -> int2: {A}{aa}; int2 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | æµ
ããšããããšã¯çããªã | ¬{D} | fact1: ã·ã«ãã·ã«ã
Lv.91äºä»¶ãèµ·ãã fact2: ããŸã«ããŸã¡ãLv.63äºä»¶ã¯èµ·ããªããŠå°ããšããããšãèµ·ããããšããããšã¯ã決ãé£ããšããããšã¯çããªãããšããããšããã£ããã§ãã fact3: æµ
ããšããããšã¯ãå±ãããšããããšãšãŸã«ããŸã¡ãLv.63äºä»¶ãçºçããããšããããšã«é²ããã fact4: ãŸã«ããŸã¡ãLv.63äºä»¶ãèµ·ãã fact5: ããœãªãœãLv.61äºä»¶ã¯çºçããªãããšããããšã¯ãèãåãé£ããšããããšãèµ·ãããããŸãã«å¿ å®å¿ å®ãããšããããšãçããããšããããšã«èªçºããã fact6: å±ãããšããããšã¯ã·ã«ãã·ã«ã
Lv.91äºä»¶ã«ãããããã | fact1: {A} fact2: ¬{F} -> (¬{C} & {E}) fact3: ({B} & {C}) -> ¬{D} fact4: {C} fact5: ({K} & {IR}) -> ¬{EQ} fact6: {A} -> {B} | [
"fact6 & fact1 -> int1: å±ãããšããããšãçãã; int1 & fact4 -> int2: å±ãããšããããšããã³ãŸã«ããŸã¡ãLv.63äºä»¶äž¡æ¹ãçºçãã; int2 & fact3 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact3 -> hypothesis;"
] | æµ
ããšããããšãèµ·ãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã·ã«ãã·ã«ã
Lv.91äºä»¶ãèµ·ãã fact2: ããŸã«ããŸã¡ãLv.63äºä»¶ã¯èµ·ããªããŠå°ããšããããšãèµ·ããããšããããšã¯ã決ãé£ããšããããšã¯çããªãããšããããšããã£ããã§ãã fact3: æµ
ããšããããšã¯ãå±ãããšããããšãšãŸã«ããŸã¡ãLv.63äºä»¶ãçºçããããšããããšã«é²ããã fact4: ãŸã«ããŸã¡ãLv.63äºä»¶ãèµ·ãã fact5: ããœãªãœãLv.61äºä»¶ã¯çºçããªãããšããããšã¯ãèãåãé£ããšããããšãèµ·ãããããŸãã«å¿ å®å¿ å®ãããšããããšãçããããšããããšã«èªçºããã fact6: å±ãããšããããšã¯ã·ã«ãã·ã«ã
Lv.91äºä»¶ã«ãããããã ; $hypothesis$ = æµ
ããšããããšã¯çããªã ; $proof$ = | fact6 & fact1 -> int1: å±ãããšããããšãçãã; int1 & fact4 -> int2: å±ãããšããããšããã³ãŸã«ããŸã¡ãLv.63äºä»¶äž¡æ¹ãçºçãã; int2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ¬{F} -> (¬{C} & {E}) fact3: ({B} & {C}) -> ¬{D} fact4: {C} fact5: ({K} & {IR}) -> ¬{EQ} fact6: {A} -> {B} ; $hypothesis$ = ¬{D} ; $proof$ = | fact6 & fact1 -> int1: {B}; int1 & fact4 -> int2: ({B} & {C}); int2 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã¡ãã·ãLv.0ã¯æº¶ãé£ã | {B}{b} | fact1: ããã®ãœã¡ããœãLv.55ã¯æ°ãããŠèªã¿é£ãããšããããšã¯æãç«ããªã fact2: ããã®ãœã¡ããœãLv.55ã¯æ°ãããå ããŠããã¯èªã¿é£ãããšããããšã¯æãç«ããªããªãã°ããã¯æº¶ãé£ããªã fact3: ä»®ã«ãã®ãœã¡ããœãLv.55ã溶ãé£ããªããšããã°ãã®ã·ã¡ãã·ãLv.0ã¯èªã¿é£ã fact4: ä»®ã«ãã®ãœã¡ããœãLv.55ã溶ãé£ããªããšããã°ãã®ã·ã¡ãã·ãLv.0ã¯æº¶ãé£ããªãäžæ¹ã§èµ·ãé£ã | fact1: ¬({AA}{a} & {AB}{a}) fact2: ¬({AA}{a} & {AB}{a}) -> ¬{B}{a} fact3: ¬{B}{a} -> {AB}{b} fact4: ¬{B}{a} -> (¬{B}{b} & {C}{b}) | [
"fact2 & fact1 -> int1: ãã®ãœã¡ããœãLv.55ã¯æº¶ãé£ããªã; int1 & fact4 -> int2: ãã®ã·ã¡ãã·ãLv.0ã¯æº¶ãé£ããšããããšã¯ãªãããããããã¯èµ·ãé£ã; int2 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ¬{B}{a}; int1 & fact4 -> int2: (¬{B}{b} & {C}{b}); int2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ãœã¡ããœãLv.55ã¯æ°ãããŠèªã¿é£ãããšããããšã¯æãç«ããªã fact2: ããã®ãœã¡ããœãLv.55ã¯æ°ãããå ããŠããã¯èªã¿é£ãããšããããšã¯æãç«ããªããªãã°ããã¯æº¶ãé£ããªã fact3: ä»®ã«ãã®ãœã¡ããœãLv.55ã溶ãé£ããªããšããã°ãã®ã·ã¡ãã·ãLv.0ã¯èªã¿é£ã fact4: ä»®ã«ãã®ãœã¡ããœãLv.55ã溶ãé£ããªããšããã°ãã®ã·ã¡ãã·ãLv.0ã¯æº¶ãé£ããªãäžæ¹ã§èµ·ãé£ã ; $hypothesis$ = ãã®ã·ã¡ãã·ãLv.0ã¯æº¶ãé£ã ; $proof$ = | fact2 & fact1 -> int1: ãã®ãœã¡ããœãLv.55ã¯æº¶ãé£ããªã; int1 & fact4 -> int2: ãã®ã·ã¡ãã·ãLv.0ã¯æº¶ãé£ããšããããšã¯ãªãããããããã¯èµ·ãé£ã; int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬({AA}{a} & {AB}{a}) fact2: ¬({AA}{a} & {AB}{a}) -> ¬{B}{a} fact3: ¬{B}{a} -> {AB}{b} fact4: ¬{B}{a} -> (¬{B}{b} & {C}{b}) ; $hypothesis$ = {B}{b} ; $proof$ = | fact2 & fact1 -> int1: ¬{B}{a}; int1 & fact4 -> int2: (¬{B}{b} & {C}{b}); int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ã¡ã
ã·ãLv.49ã¯çã£é»ã | {C}{b} | fact1: ããããã®ãŽã¡ã
ãŽãLv.8ãäŒãé£ããšãããšãã®ã·ã¡ã
ã·ãLv.49ã¯çã£é»ã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.49ãäŒãé£ããšãããšãã®ãŽã¡ã
ãŽãLv.8ã¯çã£é»ããªããéãç¡ã fact3: å¯ããªãã¢ã³ã¹ã¿ãŒã¯éãç¡ãããããã¯äŒãé£ãããããã¯äž¡æ¹ãšãã§ãã fact4: ããçãã¢ã³ã¹ã¿ãŒã¯å¯ããªã fact5: ããä»®ã«ãã®ã·ãªã·ãLv.84ãå¯ããšãããšãã®ã·ã¡ã
ã·ãLv.49ã¯äŒãé£ã fact6: ãã®ãŽã¡ã
ãŽãLv.8ã¯éãç¡ã fact7: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.8ãéãç¡ããªãã°ãã®ãŽã¡ã
ãŽãLv.8ã¯äŒãé£ã | fact1: {B}{a} -> {C}{b} fact2: {B}{b} -> (¬{C}{a} & {A}{a}) fact3: (x): ¬{D}x -> ({A}x v {B}x) fact4: (x): {E}x -> ¬{D}x fact5: {D}{c} -> {B}{b} fact6: {A}{a} fact7: {A}{a} -> {B}{a} | [
"fact7 & fact6 -> int1: ãã®ãŽã¡ã
ãŽãLv.8ã¯äŒãé£ã; int1 & fact1 -> hypothesis;"
] | [
"fact7 & fact6 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãŽã«ããŽãLv.41ã¯éãç¡ã | {A}{da} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãŽã¡ã
ãŽãLv.8ãäŒãé£ããšãããšãã®ã·ã¡ã
ã·ãLv.49ã¯çã£é»ã fact2: ä»®ã«ãã®ã·ã¡ã
ã·ãLv.49ãäŒãé£ããšãããšãã®ãŽã¡ã
ãŽãLv.8ã¯çã£é»ããªããéãç¡ã fact3: å¯ããªãã¢ã³ã¹ã¿ãŒã¯éãç¡ãããããã¯äŒãé£ãããããã¯äž¡æ¹ãšãã§ãã fact4: ããçãã¢ã³ã¹ã¿ãŒã¯å¯ããªã fact5: ããä»®ã«ãã®ã·ãªã·ãLv.84ãå¯ããšãããšãã®ã·ã¡ã
ã·ãLv.49ã¯äŒãé£ã fact6: ãã®ãŽã¡ã
ãŽãLv.8ã¯éãç¡ã fact7: ä»®ã«ãã®ãŽã¡ã
ãŽãLv.8ãéãç¡ããªãã°ãã®ãŽã¡ã
ãŽãLv.8ã¯äŒãé£ã ; $hypothesis$ = ãã®ã·ã¡ã
ã·ãLv.49ã¯çã£é»ã ; $proof$ = | fact7 & fact6 -> int1: ãã®ãŽã¡ã
ãŽãLv.8ã¯äŒãé£ã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {B}{b} -> (¬{C}{a} & {A}{a}) fact3: (x): ¬{D}x -> ({A}x v {B}x) fact4: (x): {E}x -> ¬{D}x fact5: {D}{c} -> {B}{b} fact6: {A}{a} fact7: {A}{a} -> {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact7 & fact6 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ããã®ãã«ã
ãã«ã
Lv.85ã¯éè²ç¡ãããŸãèªãããããšããããšã¯æãç«ããªã | ¬({C}{c} & {D}{c}) | fact1: ãã®ãã«ã
ãã«ã
Lv.85ã¯èªããã fact2: ãããã®ãã«ã
ããLv.75ã宣æãããšããããã®ã¿ãã¿ãLv.50ã¯çŸå§ããã fact3: ãã®ã¿ãã¿ãLv.50ã¯çŸå§ããããšããã°ããã®ãã«ã
ãã«ã
Lv.85ã¯éè²ç¡ãããšããããšã¯äºå®ã§ãã fact4: ãã®ãã«ã
ããLv.75ã¯å®£æãã | fact1: {D}{c} fact2: {A}{a} -> {B}{b} fact3: {B}{b} -> {C}{c} fact4: {A}{a} | [
"fact2 & fact4 -> int1: ãã®ã¿ãã¿ãLv.50ã¯çŸå§ããã; int1 & fact3 -> int2: ãã®ãã«ã
ãã«ã
Lv.85ã¯éè²ç¡ã; int2 & fact1 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}{b}; int1 & fact3 -> int2: {C}{c}; int2 & fact1 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãã«ã
ãã«ã
Lv.85ã¯èªããã fact2: ãããã®ãã«ã
ããLv.75ã宣æãããšããããã®ã¿ãã¿ãLv.50ã¯çŸå§ããã fact3: ãã®ã¿ãã¿ãLv.50ã¯çŸå§ããããšããã°ããã®ãã«ã
ãã«ã
Lv.85ã¯éè²ç¡ãããšããããšã¯äºå®ã§ãã fact4: ãã®ãã«ã
ããLv.75ã¯å®£æãã ; $hypothesis$ = ããã®ãã«ã
ãã«ã
Lv.85ã¯éè²ç¡ãããŸãèªãããããšããããšã¯æãç«ããªã ; $proof$ = | fact2 & fact4 -> int1: ãã®ã¿ãã¿ãLv.50ã¯çŸå§ããã; int1 & fact3 -> int2: ãã®ãã«ã
ãã«ã
Lv.85ã¯éè²ç¡ã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D}{c} fact2: {A}{a} -> {B}{b} fact3: {B}{b} -> {C}{c} fact4: {A}{a} ; $hypothesis$ = ¬({C}{c} & {D}{c}) ; $proof$ = | fact2 & fact4 -> int1: {B}{b}; int1 & fact3 -> int2: {C}{c}; int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãããã®ã¿ãã¿ã®Lv.56ã¯ãã¬ãŒããªãããã©æ£åŽããããšããããšã¯ééã£ãŠããããšããããšã¯æ¬åœã§ãã | ¬(¬{B}{b} & {D}{b}) | fact1: ããä»®ã«ãã®ãŽããŽãLv.27ã¯ãã¬ãŒããªããªãããã®ã¿ãã¿ã®Lv.56ã¯æ£åŽããããšããããšã¯æ¬åœã§ãã fact2: æšããªãã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãã®ã¿ãã¿ã®Lv.56ã¯æ£åŽãã fact4: ãã®ãŽããŽãLv.27ã¯èµ€ããªã fact5: ä»®ã«ãã®ãŽããŽãLv.27ããã¬ãŒããªããšãããšãã®ã¿ãã¿ã®Lv.56ã¯ãã¬ãŒããªãããããæ£åŽãã fact6: ããä»®ã«ãæšããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŽããŽãLv.27ã¯èµ€ããªã | fact1: ¬{B}{a} -> {D}{b} fact2: (Ex): ¬{A}x fact3: {D}{b} fact4: ¬{C}{a} fact5: ¬{B}{a} -> (¬{B}{b} & {D}{b}) fact6: (x): ¬{A}x -> ¬{C}{a} | [] | [] | null | null | [] | null | 3 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.27ã¯ãã¬ãŒããªããªãããã®ã¿ãã¿ã®Lv.56ã¯æ£åŽããããšããããšã¯æ¬åœã§ãã fact2: æšããªãã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãã®ã¿ãã¿ã®Lv.56ã¯æ£åŽãã fact4: ãã®ãŽããŽãLv.27ã¯èµ€ããªã fact5: ä»®ã«ãã®ãŽããŽãLv.27ããã¬ãŒããªããšãããšãã®ã¿ãã¿ã®Lv.56ã¯ãã¬ãŒããªãããããæ£åŽãã fact6: ããä»®ã«ãæšããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŽããŽãLv.27ã¯èµ€ããªã ; $hypothesis$ = ãããã®ã¿ãã¿ã®Lv.56ã¯ãã¬ãŒããªãããã©æ£åŽããããšããããšã¯ééã£ãŠããããšããããšã¯æ¬åœã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{a} -> {D}{b} fact2: (Ex): ¬{A}x fact3: {D}{b} fact4: ¬{C}{a} fact5: ¬{B}{a} -> (¬{B}{b} & {D}{b}) fact6: (x): ¬{A}x -> ¬{C}{a} ; $hypothesis$ = ¬(¬{B}{b} & {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã®ãŽã¡ããŽã«ãLv.64ã¯å«å³ã£ãœããªããŠãã€é»è²ããªãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã§ãã | ¬(¬{AA}{aa} & ¬{AB}{aa}) | fact1: 䜿ãæãã¢ã³ã¹ã¿ãŒã¯å«å³ã£ãœããªããããã«é»è²ããªã fact2: ãã®ãŽã¡ããŽã«ãLv.64ã¯äœ¿ãæã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãè¡è
¥ããªãã°ããã¯å
¥ãé£ããªã | fact1: (x): {A}x -> (¬{AA}x & ¬{AB}x) fact2: {A}{aa} fact3: (x): {EM}x -> ¬{BS}x | [
"fact1 -> int1: ãã®ãŽã¡ããŽã«ãLv.64ã䜿ãæããªãã°ããã¯å«å³ã£ãœããªãããŸãããã¯é»è²ããªã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: 䜿ãæãã¢ã³ã¹ã¿ãŒã¯å«å³ã£ãœããªããããã«é»è²ããªã fact2: ãã®ãŽã¡ããŽã«ãLv.64ã¯äœ¿ãæã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãè¡è
¥ããªãã°ããã¯å
¥ãé£ããªã ; $hypothesis$ = ãããã®ãŽã¡ããŽã«ãLv.64ã¯å«å³ã£ãœããªããŠãã€é»è²ããªãããšããããšã¯æãç«ããªãããšããããšã¯äºå®ã§ãã ; $proof$ = | fact1 -> int1: ãã®ãŽã¡ããŽã«ãLv.64ã䜿ãæããªãã°ããã¯å«å³ã£ãœããªãããŸãããã¯é»è²ããªã; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {A}x -> (¬{AA}x & ¬{AB}x) fact2: {A}{aa} fact3: (x): {EM}x -> ¬{BS}x ; $hypothesis$ = ¬(¬{AA}{aa} & ¬{AB}{aa}) ; $proof$ = | fact1 -> int1: {A}{aa} -> (¬{AA}{aa} & ¬{AB}{aa}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ããã¡ãLv.33ã¯ã§ãã | {D}{b} | fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒãæããšããããšã¯ãªããšããã°ãªãµãŒããããããã¯ã§ãã fact2: ä»®ã«ãã®ã¿ãã¿ãLv.66ã¯é ããŠåŽ©ãæããšãããšæããªã fact3: ãã®ã¿ãã¿ãLv.66ã¯åè«ãœã fact4: ãã®ãã«ããã¡ãLv.33ã¯ãªãµãŒããã fact5: ãã®ã¿ãã¿ãLv.66ã¯é ããŠåŽ©ãæã fact6: ãããã®ãã«ããã¡ãLv.33ãå©çšããæãããªãµãŒããããšãããããã¯ã§ãããªã fact7: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èã£ãããªããããã¯å©çšããæãããšããããšã¯æãç«ããªããªãã°ããã¯å©çšããæããªã | fact1: (x): ¬{E}x -> ({C}x & {D}x) fact2: ({F}{a} & {H}{a}) -> ¬{E}{a} fact3: {A}{a} fact4: {C}{b} fact5: ({F}{a} & {H}{a}) fact6: ({B}{b} & {C}{b}) -> ¬{D}{b} fact7: (x): ¬(¬{G}x & {B}x) -> ¬{B}x | [] | [] | ãã®ã¿ãã¿ãLv.66ã¯ç³ãèš³ç¡ãããªãµãŒããã | ({JA}{a} & {C}{a}) | [
"fact9 -> int1: ä»®ã«ããã®ãã«ããã¡ãLv.33ã¯èã£ãããªããå©çšããæãããšããããšã¯äºå®ãšç°ãªããªãããã¯å©çšããæããªã; fact11 -> int2: ããããã®ã¿ãã¿ãLv.66ãæããªããªãã°ãã®ã¿ãã¿ãLv.66ã¯ãªãµãŒããããæŽã«ã§ãã; fact10 & fact8 -> int3: ãã®ã¿ãã¿ãLv.66ã¯æããªã; int2 & int3 -> int4: ãã®ã¿ãã¿ãLv.66ã¯ãªãµãŒãããããã€ã§ãã; int4 -> int5: ããã®ã¿ãã¿ãLv.66ã¯ãªãµãŒãããããšããããšã¯æãç«ã€;"
] | 5 | 3 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒãæããšããããšã¯ãªããšããã°ãªãµãŒããããããã¯ã§ãã fact2: ä»®ã«ãã®ã¿ãã¿ãLv.66ã¯é ããŠåŽ©ãæããšãããšæããªã fact3: ãã®ã¿ãã¿ãLv.66ã¯åè«ãœã fact4: ãã®ãã«ããã¡ãLv.33ã¯ãªãµãŒããã fact5: ãã®ã¿ãã¿ãLv.66ã¯é ããŠåŽ©ãæã fact6: ãããã®ãã«ããã¡ãLv.33ãå©çšããæãããªãµãŒããããšãããããã¯ã§ãããªã fact7: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯èã£ãããªããããã¯å©çšããæãããšããããšã¯æãç«ããªããªãã°ããã¯å©çšããæããªã ; $hypothesis$ = ãã®ãã«ããã¡ãLv.33ã¯ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{E}x -> ({C}x & {D}x) fact2: ({F}{a} & {H}{a}) -> ¬{E}{a} fact3: {A}{a} fact4: {C}{b} fact5: ({F}{a} & {H}{a}) fact6: ({B}{b} & {C}{b}) -> ¬{D}{b} fact7: (x): ¬(¬{G}x & {B}x) -> ¬{B}x ; $hypothesis$ = {D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸã¡ãLv.66ã¯ç®å®ãã | {A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç·ããã fact2: ããäœããã®ã¢ã³ã¹ã¿ãŒã埡話ãåºæ¥ãªããªãç®å®ãããå·ãæã fact3: ãããã®ã·ã«ãã·ã«ãLv.59ãæ»ãæããŠåŒ·ããšãããšãã®ãŸããŸã¡ãLv.66ã¯åŒ·ããªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç®å®ãã fact5: ãããããã¢ã³ã¹ã¿ãŒã匷ããªããšããã埡話ãåºæ¥ããããã¯å¥³ã
ãããªã fact6: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ææåºæ¥ã | fact1: (x): {ED}x fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: ({G}{b} & {D}{b}) -> ¬{D}{a} fact4: (x): {A}x fact5: (x): ¬{D}x -> ({C}x & ¬{E}x) fact6: (x): {EQ}x | [
"fact4 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç®å®ãã; int1 -> hypothesis;"
] | [
"fact4 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ãã®ãŽããŽã¡ã
Lv.25ã¯ç®å®ãã | {A}{fa} | [
"fact7 -> int2: ãããã®ãŽããŽã¡ã
Lv.25ã埡話ãåºæ¥ãªããšããããã®ãŽããŽã¡ã
Lv.25ã¯ç®å®ãããå·ãæã; fact8 -> int3: ãä»®ã«ãã®ãŸããŸã¡ãLv.66ã匷ããªããªãã°ãã®ãŸããŸã¡ãLv.66ã¯åŸ¡è©±ãåºæ¥ãããã©å¥³ã
ãããªãããšããããšã¯äºå®ã ;"
] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç·ããã fact2: ããäœããã®ã¢ã³ã¹ã¿ãŒã埡話ãåºæ¥ãªããªãç®å®ãããå·ãæã fact3: ãããã®ã·ã«ãã·ã«ãLv.59ãæ»ãæããŠåŒ·ããšãããšãã®ãŸããŸã¡ãLv.66ã¯åŒ·ããªã fact4: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç®å®ãã fact5: ãããããã¢ã³ã¹ã¿ãŒã匷ããªããšããã埡話ãåºæ¥ããããã¯å¥³ã
ãããªã fact6: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ææåºæ¥ã ; $hypothesis$ = ãã®ãŸããŸã¡ãLv.66ã¯ç®å®ãã ; $proof$ = | fact4 -> int1: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯ç®å®ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {ED}x fact2: (x): ¬{C}x -> ({A}x & {B}x) fact3: ({G}{b} & {D}{b}) -> ¬{D}{a} fact4: (x): {A}x fact5: (x): ¬{D}x -> ({C}x & ¬{E}x) fact6: (x): {EQ}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact4 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | çéãé£ããšããããšãèµ·ãã | {B} | fact1: ãããªããšããããšãçºçãã fact2: ããŽããŽãLv.39äºä»¶ãçºçããããšããããšã¯æãç«ã€ fact3: 倧ç¥ãããããšã¯ã·ã¡ãã·ãLv.62äºä»¶ãèµ·ãããšããããšã«èµ·å ãã fact4: ãŽããŽãLv.39äºä»¶ã¯ãçéãé£ããšããããšã¯èµ·ãããªãããšããããšãé²ã fact5: ãæãé£ããšããããšã¯èµ·ããªããŠããã«å©çšãèŸããšããããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠããã°çéãé£ããšããããšã¯èµ·ãããªã fact6: ããä»®ã«ãããããšããããšãçºçããã°ãæãé£ããšããããšã¯çããªããããã«å©çšãèŸããšããããšã¯çããªãããšããããšã¯èª€ãã§ãã | fact1: {DD} fact2: {A} fact3: {IC} -> {EA} fact4: {A} -> {B} fact5: ¬(¬{C} & ¬{D}) -> ¬{B} fact6: {E} -> ¬(¬{C} & ¬{D}) | [
"fact2 -> int1: ããŽããŽãLv.39äºä»¶ãçºçããããšããããšã¯æãç«ã€; int1 & fact4 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact4 -> hypothesis;"
] | ãŽããŽã¡ãLv.56äºä»¶ãçãã | {IJ} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããªããšããããšãçºçãã fact2: ããŽããŽãLv.39äºä»¶ãçºçããããšããããšã¯æãç«ã€ fact3: 倧ç¥ãããããšã¯ã·ã¡ãã·ãLv.62äºä»¶ãèµ·ãããšããããšã«èµ·å ãã fact4: ãŽããŽãLv.39äºä»¶ã¯ãçéãé£ããšããããšã¯èµ·ãããªãããšããããšãé²ã fact5: ãæãé£ããšããããšã¯èµ·ããªããŠããã«å©çšãèŸããšããããšã¯èµ·ãããªãããšããããšã¯ééã£ãŠããã°çéãé£ããšããããšã¯èµ·ãããªã fact6: ããä»®ã«ãããããšããããšãçºçããã°ãæãé£ããšããããšã¯çããªããããã«å©çšãèŸããšããããšã¯çããªãããšããããšã¯èª€ãã§ãã ; $hypothesis$ = çéãé£ããšããããšãèµ·ãã ; $proof$ = | fact2 -> int1: ããŽããŽãLv.39äºä»¶ãçºçããããšããããšã¯æãç«ã€; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {DD} fact2: {A} fact3: {IC} -> {EA} fact4: {A} -> {B} fact5: ¬(¬{C} & ¬{D}) -> ¬{B} fact6: {E} -> ¬(¬{C} & ¬{D}) ; $hypothesis$ = {B} ; $proof$ = | fact2 -> int1: {A}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããœããœãªLv.36äºä»¶ãèµ·ããããšããããšã¯äºå®ã | {D} | fact1: ä»®ã«ãŽããŽã¡ã
Lv.88äºä»¶ããã³è¿·ãæããšããããšã©ã¡ãããèµ·ãããšããã°ãœããœãªLv.36äºä»¶ã¯çããªã fact2: è¿·ãæããšããããšã¯çºçããªããšããããšã¯ç²æç²æãããšããããšã¯çããªããšããããšããœããœãªLv.36äºä»¶ã«ç¹ãã fact3: ãŽããŽã¡ã
Lv.88äºä»¶ã¯çºçããªããªãã°èµ·ãé£ããšããããšããã³ã·ã¡ã
ã·ãLv.30äºä»¶äž¡æ¹ãèµ·ãã fact4: ããä»®ã«ç²æç²æãããšããããšã¯çºçããªããšããããŽããŽã¡ã
Lv.88äºä»¶ã¯èµ·ãããªã fact5: ãè¿·ãæããšããããšãèµ·ããããšããããšã¯çå®ã§ãã fact6: ãŽããŽã¡ã
Lv.88äºä»¶ãšç²æç²æãããšããããšäž¡æ¹ãèµ·ãã fact7: æ°é£ãããšããããšãèµ·ãã | fact1: ({A} & {C}) -> ¬{D} fact2: ¬{C} -> (¬{B} v {D}) fact3: ¬{A} -> ({BL} & {EQ}) fact4: ¬{B} -> ¬{A} fact5: {C} fact6: ({A} & {B}) fact7: {BN} | [
"fact6 -> int1: ãŽããŽã¡ã
Lv.88äºä»¶ãèµ·ãã; int1 & fact5 -> int2: ããŽããŽã¡ã
Lv.88äºä»¶ããã³è¿·ãæããšããããšäž¡æ¹ãšããçããããšããããšã¯äºå®ã§ãã; int2 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: {A}; int1 & fact5 -> int2: ({A} & {C}); int2 & fact1 -> hypothesis;"
] | èµ·ãé£ããšããããšãèµ·ãããã·ã¡ã
ã·ãLv.30äºä»¶ãèµ·ãã | ({BL} & {EQ}) | [] | 8 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãŽããŽã¡ã
Lv.88äºä»¶ããã³è¿·ãæããšããããšã©ã¡ãããèµ·ãããšããã°ãœããœãªLv.36äºä»¶ã¯çããªã fact2: è¿·ãæããšããããšã¯çºçããªããšããããšã¯ç²æç²æãããšããããšã¯çããªããšããããšããœããœãªLv.36äºä»¶ã«ç¹ãã fact3: ãŽããŽã¡ã
Lv.88äºä»¶ã¯çºçããªããªãã°èµ·ãé£ããšããããšããã³ã·ã¡ã
ã·ãLv.30äºä»¶äž¡æ¹ãèµ·ãã fact4: ããä»®ã«ç²æç²æãããšããããšã¯çºçããªããšããããŽããŽã¡ã
Lv.88äºä»¶ã¯èµ·ãããªã fact5: ãè¿·ãæããšããããšãèµ·ããããšããããšã¯çå®ã§ãã fact6: ãŽããŽã¡ã
Lv.88äºä»¶ãšç²æç²æãããšããããšäž¡æ¹ãèµ·ãã fact7: æ°é£ãããšããããšãèµ·ãã ; $hypothesis$ = ããœããœãªLv.36äºä»¶ãèµ·ããããšããããšã¯äºå®ã ; $proof$ = | fact6 -> int1: ãŽããŽã¡ã
Lv.88äºä»¶ãèµ·ãã; int1 & fact5 -> int2: ããŽããŽã¡ã
Lv.88äºä»¶ããã³è¿·ãæããšããããšäž¡æ¹ãšããçããããšããããšã¯äºå®ã§ãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {C}) -> ¬{D} fact2: ¬{C} -> (¬{B} v {D}) fact3: ¬{A} -> ({BL} & {EQ}) fact4: ¬{B} -> ¬{A} fact5: {C} fact6: ({A} & {B}) fact7: {BN} ; $hypothesis$ = {D} ; $proof$ = | fact6 -> int1: {A}; int1 & fact5 -> int2: ({A} & {C}); int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã¡ããŸãLv.7ã¯åè§ããšããããšã¯ãªã | ¬{C}{aa} | fact1: ãã®ãŸã¡ããŸãLv.7ã¯å³æ°ãªãããŸãã¯ããã¯å ªãæã fact2: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯å ªãæãäžæ¹ã§è¿ä»ãæããªãããšããããšã¯åã§ãããšãããå ªãæããªã fact3: ããããã¢ã³ã¹ã¿ãŒã¯å³æ°ãªãããããã¯ããã¯å ªãæããªã fact4: ããä»®ã«ãã®ãŸããŸãLv.58ãå ªãæããªããªããã®ãŸã¡ããŸãLv.7ã¯å³æ°ãªãããã€åè§ã | fact1: ({A}{aa} v {B}{aa}) fact2: (x): ¬({B}x & ¬{E}x) -> ¬{B}x fact3: (x): ({A}x v ¬{B}x) fact4: ¬{B}{a} -> ({A}{aa} & {C}{aa}) | [
"fact3 -> int1: ããã®ãŸã¡ããŸãLv.7ã¯å³æ°ãªãããããã¯å ªãæããªãããšããããšã¯ç¢ºãã ;"
] | [
"fact3 -> int1: ({A}{aa} v ¬{B}{aa});"
] | ãã®ãŸã¡ããŸãLv.7ã¯åè§ã | {C}{aa} | [
"fact5 -> int2: ãããããã®ãŸããŸãLv.58ã¯å ªãæãäžæ¹ã§ããã¯è¿ä»ãæããªãããšããããšã¯çå®ã ããšããããšã¯æãç«ããªããšãããšããã¯å ªãæããªã;"
] | 8 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ãŸã¡ããŸãLv.7ã¯å³æ°ãªãããŸãã¯ããã¯å ªãæã fact2: ãããããªãããã®ã¢ã³ã¹ã¿ãŒã¯å ªãæãäžæ¹ã§è¿ä»ãæããªãããšããããšã¯åã§ãããšãããå ªãæããªã fact3: ããããã¢ã³ã¹ã¿ãŒã¯å³æ°ãªãããããã¯ããã¯å ªãæããªã fact4: ããä»®ã«ãã®ãŸããŸãLv.58ãå ªãæããªããªããã®ãŸã¡ããŸãLv.7ã¯å³æ°ãªãããã€åè§ã ; $hypothesis$ = ãã®ãŸã¡ããŸãLv.7ã¯åè§ããšããããšã¯ãªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{aa} v {B}{aa}) fact2: (x): ¬({B}x & ¬{E}x) -> ¬{B}x fact3: (x): ({A}x v ¬{B}x) fact4: ¬{B}{a} -> ({A}{aa} & {C}{aa}) ; $hypothesis$ = ¬{C}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãè¡è
¥ããšããããšãèµ·ããããšããããšã¯æãç«ã€ | {D} | fact1: ããŽã«ããŽã«ãLv.42äºä»¶ãèµ·ãããæãããšããããšãçããããããã¯ã©ã¡ããã§ããããšããããšã¯è¡è
¥ããšããããšãé²ã fact2: ææ©ããšããããšãèµ·ãããšããããšã¯ããŽã«ããŽã«ãLv.42äºä»¶ã¯èµ·ãããªãããšããããšãåé¿ãã fact3: ææ©ããšããããšãçãã | fact1: ({B} v {C}) -> ¬{D} fact2: {A} -> {B} fact3: {A} | [
"fact2 & fact3 -> int1: ãŽã«ããŽã«ãLv.42äºä»¶ãèµ·ãã; int1 -> int2: ãŽã«ããŽã«ãLv.42äºä»¶ãçãããæãããšããããšãèµ·ãã; int2 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact1 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããŽã«ããŽã«ãLv.42äºä»¶ãèµ·ãããæãããšããããšãçããããããã¯ã©ã¡ããã§ããããšããããšã¯è¡è
¥ããšããããšãé²ã fact2: ææ©ããšããããšãèµ·ãããšããããšã¯ããŽã«ããŽã«ãLv.42äºä»¶ã¯èµ·ãããªãããšããããšãåé¿ãã fact3: ææ©ããšããããšãçãã ; $hypothesis$ = ãè¡è
¥ããšããããšãèµ·ããããšããããšã¯æãç«ã€ ; $proof$ = | fact2 & fact3 -> int1: ãŽã«ããŽã«ãLv.42äºä»¶ãèµ·ãã; int1 -> int2: ãŽã«ããŽã«ãLv.42äºä»¶ãçãããæãããšããããšãèµ·ãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({B} v {C}) -> ¬{D} fact2: {A} -> {B} fact3: {A} ; $hypothesis$ = {D} ; $proof$ = | fact2 & fact3 -> int1: {B}; int1 -> int2: ({B} v {C}); int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã®ãœãLv.84ã¯äœãæ²ããã±ã¡ãããã | ({D}{a} & {C}{a}) | fact1: ãã®ãœã®ãœãLv.84ã¯äœãæ²ã fact2: ãã®ãœã®ãœãLv.84ã埡æªããªãã°ããã¯èŠã fact3: ãã®ãœã®ãœãLv.84ã¯åŸ¡æªã | fact1: {D}{a} fact2: {A}{a} -> {B}{a} fact3: {A}{a} | [
"fact2 & fact3 -> int1: ãã®ãœã®ãœãLv.84ã¯èŠã;"
] | [
"fact2 & fact3 -> int1: {B}{a};"
] | null | null | [] | null | 3 | 3 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãœã®ãœãLv.84ã¯äœãæ²ã fact2: ãã®ãœã®ãœãLv.84ã埡æªããªãã°ããã¯èŠã fact3: ãã®ãœã®ãœãLv.84ã¯åŸ¡æªã ; $hypothesis$ = ãã®ãœã®ãœãLv.84ã¯äœãæ²ããã±ã¡ãããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D}{a} fact2: {A}{a} -> {B}{a} fact3: {A}{a} ; $hypothesis$ = ({D}{a} & {C}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãŸã«ããŸãLv.30äºä»¶ã¯çºçããªã | ¬{A} | fact1: ä»®ã«è¡ããããšããããšã¯çºçããªããæŽã«ãã«ããã«Lv.54äºä»¶ã¯èµ·ããªããªãã°ããŸã«ããŸã«Lv.61äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact2: ããŸã«ããŸãLv.30äºä»¶ã¯èµ·ãããªãããšããããšã¯ãŸã«ããŸã«Lv.61äºä»¶ã«é»æ¢ããã | fact1: (¬{AA} & ¬{AB}) -> {B} fact2: {B} -> {A} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«è¡ããããšããããšã¯çºçããªããæŽã«ãã«ããã«Lv.54äºä»¶ã¯èµ·ããªããªãã°ããŸã«ããŸã«Lv.61äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ fact2: ããŸã«ããŸãLv.30äºä»¶ã¯èµ·ãããªãããšããããšã¯ãŸã«ããŸã«Lv.61äºä»¶ã«é»æ¢ããã ; $hypothesis$ = ãŸã«ããŸãLv.30äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA} & ¬{AB}) -> {B} fact2: {B} -> {A} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœããœãªLv.27ã¯éãã | {A}{a} | fact1: ããããã®ãŸã¡ã
ãŸã«ãLv.75ã¯å€§å察ãããè¡ãé£ãããšããããšã¯æãç«ããªããšããããã®ãŽã¡ã
ãŽã¡ãLv.47ã¯ãªãã¥ãŒã¢ã«ãã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããããã®ãŸã¡ã
ãŸã«ãLv.75ã¯å€§å察ãããè¡ãé£ãããšããããšã¯æãç«ããªããšããããã®ãŽã¡ã
ãŽã¡ãLv.47ã¯ãªãã¥ãŒã¢ã«ãã ; $hypothesis$ = ãã®ãœããœãªLv.27ã¯éãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã¡ãã·ã®Lv.67ã¯å°ãããªã | ¬{A}{a} | fact1: ãã®ãŸããŸãLv.11ãå°ãããšããã°ãã®ã·ã¡ãã·ã®Lv.67ã¯å°ãã fact2: ãã®ã·ã¡ãã·ã®Lv.67ã¯æå®ãé£ããªã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãæ ãããªãäžæ¹ã§æå®ãé£ããªãã°ããã¯å°ãããªã fact4: ãã®ãããã«ã
Lv.95ã¯å°ãããªã fact5: ãããã®ãããã¡ã
Lv.75ãèŠåæ£ãããªããšããããã®ã·ã¡ãã·ã®Lv.67ã¯å°ãããªã fact6: ããä»®ã«æå®ãé£ããªãã¢ã³ã¹ã¿ãŒãæ ããšãããšèŠåæ£ãããªã fact7: ãã®ãããã¡ã
Lv.75ã¯æå®ãé£ããªããã©ããã¯æ ã | fact1: {A}{b} -> {A}{a} fact2: ¬{AA}{a} fact3: (x): (¬{AB}x & {AA}x) -> ¬{A}x fact4: ¬{A}{ig} fact5: ¬{B}{aa} -> ¬{A}{a} fact6: (x): (¬{AA}x & {AB}x) -> ¬{B}x fact7: (¬{AA}{aa} & {AB}{aa}) | [
"fact6 -> int1: ããããã®ãããã¡ã
Lv.75ãæå®ãé£ããªãããã©æ ããšãããšãã®ãããã¡ã
Lv.75ã¯èŠåæ£ãããªã; int1 & fact7 -> int2: ãã®ãããã¡ã
Lv.75ã¯èŠåæ£ãããšããããšã¯ãªã; int2 & fact5 -> hypothesis;"
] | [
"fact6 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact7 -> int2: ¬{B}{aa}; int2 & fact5 -> hypothesis;"
] | ãã®ã·ã¡ãã·ã®Lv.67ã¯å°ãã | {A}{a} | [] | 5 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.11ãå°ãããšããã°ãã®ã·ã¡ãã·ã®Lv.67ã¯å°ãã fact2: ãã®ã·ã¡ãã·ã®Lv.67ã¯æå®ãé£ããªã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒãæ ãããªãäžæ¹ã§æå®ãé£ããªãã°ããã¯å°ãããªã fact4: ãã®ãããã«ã
Lv.95ã¯å°ãããªã fact5: ãããã®ãããã¡ã
Lv.75ãèŠåæ£ãããªããšããããã®ã·ã¡ãã·ã®Lv.67ã¯å°ãããªã fact6: ããä»®ã«æå®ãé£ããªãã¢ã³ã¹ã¿ãŒãæ ããšãããšèŠåæ£ãããªã fact7: ãã®ãããã¡ã
Lv.75ã¯æå®ãé£ããªããã©ããã¯æ ã ; $hypothesis$ = ãã®ã·ã¡ãã·ã®Lv.67ã¯å°ãããªã ; $proof$ = | fact6 -> int1: ããããã®ãããã¡ã
Lv.75ãæå®ãé£ããªãããã©æ ããšãããšãã®ãããã¡ã
Lv.75ã¯èŠåæ£ãããªã; int1 & fact7 -> int2: ãã®ãããã¡ã
Lv.75ã¯èŠåæ£ãããšããããšã¯ãªã; int2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{b} -> {A}{a} fact2: ¬{AA}{a} fact3: (x): (¬{AB}x & {AA}x) -> ¬{A}x fact4: ¬{A}{ig} fact5: ¬{B}{aa} -> ¬{A}{a} fact6: (x): (¬{AA}x & {AB}x) -> ¬{B}x fact7: (¬{AA}{aa} & {AB}{aa}) ; $hypothesis$ = ¬{A}{a} ; $proof$ = | fact6 -> int1: (¬{AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact7 -> int2: ¬{B}{aa}; int2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ããåããèŠãèŸããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã | ¬((Ex): ({B}x & {C}x)) | fact1: ãã®ãŽããŽã®Lv.84ã¯çéãé£ããŠããŸãã«åã fact2: ãã®ãŽããŽã®Lv.84ã¯èŠãèŸã | fact1: ({A}{a} & {B}{a}) fact2: {C}{a} | [
"fact1 -> int1: ãã®ãŽããŽã®Lv.84ã¯åã; int1 & fact2 -> int2: ãã®ãŽããŽã®Lv.84ã¯åãããããããã¯èŠãèŸã; int2 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact2 -> int2: ({B}{a} & {C}{a}); int2 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãŽããŽã®Lv.84ã¯çéãé£ããŠããŸãã«åã fact2: ãã®ãŽããŽã®Lv.84ã¯èŠãèŸã ; $hypothesis$ = ããåããèŠãèŸããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽã®Lv.84ã¯åã; int1 & fact2 -> int2: ãã®ãŽããŽã®Lv.84ã¯åãããããããã¯èŠãèŸã; int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {C}{a} ; $hypothesis$ = ¬((Ex): ({B}x & {C}x)) ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact2 -> int2: ({B}{a} & {C}{a}); int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããªããLv.10ã¯åè§ã | {C}{b} | fact1: æ¯ã
ããã¢ã³ã¹ã¿ãŒã¯åè§ã fact2: ããããã®ãŸãªãŸãLv.95ãç²é«ããªããã®ããªããLv.10ã¯çµã³ä»ãé£ã fact3: ãã®ã·ã«ã·ãLv.8ãç²é«ããªããšããããã®ãŸãªãŸãLv.95ã¯åè§ããªãäžæ¹ã§ããã¯çµã³ä»ãé£ã fact4: ãã®ãŸãªãŸãLv.95ã¯ç²é«ã fact5: ãã®ããªããLv.10ãçµã³ä»ãé£ããšããã°ããã¯åè§ã | fact1: (x): {GU}x -> {C}x fact2: {A}{a} -> {B}{b} fact3: ¬{A}{c} -> (¬{C}{a} & {B}{a}) fact4: {A}{a} fact5: {B}{b} -> {C}{b} | [
"fact2 & fact4 -> int1: ãã®ããªããLv.10ã¯çµã³ä»ãé£ã; int1 & fact5 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}{b}; int1 & fact5 -> hypothesis;"
] | ããã®ããªããLv.10ã¯åè§ãããšããããšã¯èª€ãã | ¬{C}{b} | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æ¯ã
ããã¢ã³ã¹ã¿ãŒã¯åè§ã fact2: ããããã®ãŸãªãŸãLv.95ãç²é«ããªããã®ããªããLv.10ã¯çµã³ä»ãé£ã fact3: ãã®ã·ã«ã·ãLv.8ãç²é«ããªããšããããã®ãŸãªãŸãLv.95ã¯åè§ããªãäžæ¹ã§ããã¯çµã³ä»ãé£ã fact4: ãã®ãŸãªãŸãLv.95ã¯ç²é«ã fact5: ãã®ããªããLv.10ãçµã³ä»ãé£ããšããã°ããã¯åè§ã ; $hypothesis$ = ãã®ããªããLv.10ã¯åè§ã ; $proof$ = | fact2 & fact4 -> int1: ãã®ããªããLv.10ã¯çµã³ä»ãé£ã; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {GU}x -> {C}x fact2: {A}{a} -> {B}{b} fact3: ¬{A}{c} -> (¬{C}{a} & {B}{a}) fact4: {A}{a} fact5: {B}{b} -> {C}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 & fact4 -> int1: {B}{b}; int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã«ãLv.19ã¯äžãæã | {B}{a} | fact1: ãã®ãœããœã«ãLv.19ã¯ã匱ã fact2: ãããã®ãœããœã«ãLv.19ã¯ã匱ããªãããã®ãœããœã«ãLv.19ã¯äžãæãããšããããšã¯çå®ã | fact1: {A}{a} fact2: {A}{a} -> {B}{a} | [
"fact1 -> int1: ãã®ãœããœã«ãLv.19ã¯ã匱ã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœããœã«ãLv.19ã¯ã匱ã fact2: ãããã®ãœããœã«ãLv.19ã¯ã匱ããªãããã®ãœããœã«ãLv.19ã¯äžãæãããšããããšã¯çå®ã ; $hypothesis$ = ãã®ãœããœã«ãLv.19ã¯äžãæã ; $proof$ = | fact1 -> int1: ãã®ãœããœã«ãLv.19ã¯ã匱ã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸãªãŸãLv.81ã¯èµ·ããé£ã | {C}{b} | fact1: ããããã®ãœã«ããœã«ã
Lv.55ãç¬ã転ãããšããã°ãã®ãŸãªãŸãLv.81ã¯èµ·ããé£ã fact2: ãã®ãœã«ããœã«ã
Lv.55ã¯ã匱ã fact3: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã匱ããšããããèµ·ããé£ãããšããããšã¯äºå®ã§ãã fact4: ããããã®ãœã«ããœã«ã
Lv.55ãã匱ããªããã®ãœã«ããœã«ã
Lv.55ã¯ç¬ã転ãã | fact1: {B}{a} -> {C}{b} fact2: {A}{a} fact3: (x): {A}x -> {C}x fact4: {A}{a} -> {B}{a} | [
"fact4 & fact2 -> int1: ãã®ãœã«ããœã«ã
Lv.55ã¯ç¬ã転ãã; int1 & fact1 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ãã®ãŸã«ããŸãLv.78ã¯èµ·ããé£ã | {C}{gk} | [
"fact5 -> int2: ããããã®ãŸã«ããŸãLv.78ãã匱ããªããã®ãŸã«ããŸãLv.78ã¯èµ·ããé£ã;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ãœã«ããœã«ã
Lv.55ãç¬ã転ãããšããã°ãã®ãŸãªãŸãLv.81ã¯èµ·ããé£ã fact2: ãã®ãœã«ããœã«ã
Lv.55ã¯ã匱ã fact3: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã匱ããšããããèµ·ããé£ãããšããããšã¯äºå®ã§ãã fact4: ããããã®ãœã«ããœã«ã
Lv.55ãã匱ããªããã®ãœã«ããœã«ã
Lv.55ã¯ç¬ã転ãã ; $hypothesis$ = ãã®ãŸãªãŸãLv.81ã¯èµ·ããé£ã ; $proof$ = | fact4 & fact2 -> int1: ãã®ãœã«ããœã«ã
Lv.55ã¯ç¬ã転ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {A}{a} fact3: (x): {A}x -> {C}x fact4: {A}{a} -> {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact4 & fact2 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽã¡ããŽã¡ãLv.56ã¯æãæãããŸãã¯ããã¯å¯Ÿå¿ãæã | ({D}{aa} v {C}{aa}) | fact1: ãã®ãã«ãã«ã
Lv.75ã¯äžãæã fact2: ã©ãé»ããªãã¢ã³ã¹ã¿ãŒã¯å¯Ÿå¿ãæã fact3: ãã®ãŽã¡ããŽã¡ãLv.56ãæãããªãããã¯ã©ãé»ã fact4: ãã®ãŽã¡ããŽã¡ãLv.56ã¯äžãæãããããã¯ã©ãé»ããªãããããã¯äž¡æ¹ãšãã fact5: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãäžãæããšããã°å¶å®ãã fact6: ããããã®ãŽã¡ããŽã¡ãLv.56ãäžãæããšããããã®ãŽã¡ããŽã¡ãLv.56ã¯å¯Ÿå¿ãæã fact7: ããä»®ã«ãã®ãŽã¡ã
ãŽãLv.92ã察å¿ãæããªããšãããšãã®ã·ã¡ãã·ã®Lv.77ã¯äžãæããŠã©ãé»ã | fact1: {A}{fa} fact2: (x): ¬{B}x -> {C}x fact3: {CO}{aa} -> {B}{aa} fact4: ({A}{aa} v ¬{B}{aa}) fact5: (x): {A}x -> {FF}x fact6: {A}{aa} -> {C}{aa} fact7: ¬{C}{a} -> ({A}{dr} & {B}{dr}) | [
"fact2 -> int1: ããä»®ã«ãã®ãŽã¡ããŽã¡ãLv.56ãã©ãé»ããªããšãããšãã®ãŽã¡ããŽã¡ãLv.56ã¯å¯Ÿå¿ãæã; int1 & fact4 & fact6 -> int2: ãã®ãŽã¡ããŽã¡ãLv.56ã¯å¯Ÿå¿ãæã; int2 -> hypothesis;"
] | [
"fact2 -> int1: ¬{B}{aa} -> {C}{aa}; int1 & fact4 & fact6 -> int2: {C}{aa}; int2 -> hypothesis;"
] | ãã®ã·ã¡ãã·ã®Lv.77ã¯å¶å®ããããããã¯å¹³ã¹ã£ãããäž¡æ¹ãšãã | ({FF}{dr} v {FR}{dr}) | [
"fact9 -> int3: ä»®ã«ãã®ã·ã¡ãã·ã®Lv.77ãäžãæããšãããšãã®ã·ã¡ãã·ã®Lv.77ã¯å¶å®ãã;"
] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãã«ãã«ã
Lv.75ã¯äžãæã fact2: ã©ãé»ããªãã¢ã³ã¹ã¿ãŒã¯å¯Ÿå¿ãæã fact3: ãã®ãŽã¡ããŽã¡ãLv.56ãæãããªãããã¯ã©ãé»ã fact4: ãã®ãŽã¡ããŽã¡ãLv.56ã¯äžãæãããããã¯ã©ãé»ããªãããããã¯äž¡æ¹ãšãã fact5: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãäžãæããšããã°å¶å®ãã fact6: ããããã®ãŽã¡ããŽã¡ãLv.56ãäžãæããšããããã®ãŽã¡ããŽã¡ãLv.56ã¯å¯Ÿå¿ãæã fact7: ããä»®ã«ãã®ãŽã¡ã
ãŽãLv.92ã察å¿ãæããªããšãããšãã®ã·ã¡ãã·ã®Lv.77ã¯äžãæããŠã©ãé»ã ; $hypothesis$ = ãã®ãŽã¡ããŽã¡ãLv.56ã¯æãæãããŸãã¯ããã¯å¯Ÿå¿ãæã ; $proof$ = | fact2 -> int1: ããä»®ã«ãã®ãŽã¡ããŽã¡ãLv.56ãã©ãé»ããªããšãããšãã®ãŽã¡ããŽã¡ãLv.56ã¯å¯Ÿå¿ãæã; int1 & fact4 & fact6 -> int2: ãã®ãŽã¡ããŽã¡ãLv.56ã¯å¯Ÿå¿ãæã; int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{fa} fact2: (x): ¬{B}x -> {C}x fact3: {CO}{aa} -> {B}{aa} fact4: ({A}{aa} v ¬{B}{aa}) fact5: (x): {A}x -> {FF}x fact6: {A}{aa} -> {C}{aa} fact7: ¬{C}{a} -> ({A}{dr} & {B}{dr}) ; $hypothesis$ = ({D}{aa} v {C}{aa}) ; $proof$ = | fact2 -> int1: ¬{B}{aa} -> {C}{aa}; int1 & fact4 & fact6 -> int2: {C}{aa}; int2 -> hypothesis; __PROVED__ |
0.3 | ãã®ããããLv.40ã¯äžããé£ããªã | ¬{D}{b} | fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãããããªããªãã°ãããã¯äžããé£ããªãããããã¯å©çšããæããªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããããã®ããããLv.40ãæ¯èãããšãããšãã®ããããLv.40ã¯äžããé£ã fact3: ãããã®ããããLv.40ãå©çšããæããªãã°æ¯èãã fact4: ãã®ã·ã¡ãã·ãLv.88ã¯ãããã fact5: ããããã®ã·ã¡ãã·ãLv.88ã¯äžããé£ããªããå©çšããæããªãããããã¯äž¡æ¹ã ããšããããšã¯åœãªãã°ãã®ããããLv.40ã¯äžããé£ããšããããšã¯ãªã fact6: ããä»®ã«ãã®ããããLv.9ãããããã黎èããªãã°ãã®ã·ã¡ãã·ãLv.88ã¯ãããããªã | fact1: (x): ¬{A}x -> ¬(¬{D}x v ¬{B}x) fact2: {C}{b} -> {D}{b} fact3: {B}{b} -> {C}{b} fact4: {A}{a} fact5: ¬(¬{D}{a} v ¬{B}{a}) -> ¬{D}{b} fact6: ({A}{c} & {E}{c}) -> ¬{A}{a} | [] | [] | ãã®ããããLv.40ã¯äžããé£ããªã | ¬{D}{b} | [
"fact9 -> int1: ãããã®ã·ã¡ãã·ãLv.88ã¯ãããããªããªãã°ããã®ã·ã¡ãã·ãLv.88ã¯äžããé£ããªããããã¯å©çšããæããªãããããã¯äž¡æ¹ã ããšããããšã¯èª€ã£ãŠãã;"
] | 6 | 3 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãããããªããªãã°ãããã¯äžããé£ããªãããããã¯å©çšããæããªãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ããããã®ããããLv.40ãæ¯èãããšãããšãã®ããããLv.40ã¯äžããé£ã fact3: ãããã®ããããLv.40ãå©çšããæããªãã°æ¯èãã fact4: ãã®ã·ã¡ãã·ãLv.88ã¯ãããã fact5: ããããã®ã·ã¡ãã·ãLv.88ã¯äžããé£ããªããå©çšããæããªãããããã¯äž¡æ¹ã ããšããããšã¯åœãªãã°ãã®ããããLv.40ã¯äžããé£ããšããããšã¯ãªã fact6: ããä»®ã«ãã®ããããLv.9ãããããã黎èããªãã°ãã®ã·ã¡ãã·ãLv.88ã¯ãããããªã ; $hypothesis$ = ãã®ããããLv.40ã¯äžããé£ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ¬(¬{D}x v ¬{B}x) fact2: {C}{b} -> {D}{b} fact3: {B}{b} -> {C}{b} fact4: {A}{a} fact5: ¬(¬{D}{a} v ¬{B}{a}) -> ¬{D}{b} fact6: ({A}{c} & {E}{c}) -> ¬{A}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | èªçºãæããšããããšãèµ·ãã | {D} | fact1: ã¿ãã¿ãLv.81äºä»¶ã¯èªçºãæããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact2: ä»®ã«èšäŒããããšã¯èµ·ãããªããšããããæŠãåãããšããã³èªçºãæããšããããšãèµ·ããããšããããšã¯ééãã fact3: æŠãåãããšãšèšäŒããããšäž¡æ¹ãšããèµ·ãã fact4: æ¥ããããšããããšããŸãã¯ã¿ãã¿ãLv.81äºä»¶ãçãããšããããšã¯ã¿ãã¿ãLv.65äºä»¶ã¯çºçããªããšããããšã«ããçºçãã fact5: ãããæŠãåãããšãšèªçºãæããšããããšãçããããšããããšã¯èª€ãã§ãããšãããèªçºãæããšããããšã¯çºçããªã | fact1: {C} -> {D} fact2: ¬{B} -> ¬({A} & {D}) fact3: ({A} & {B}) fact4: ¬{F} -> ({E} v {C}) fact5: ¬({A} & {D}) -> ¬{D} | [
"fact3 -> int1: æŠãåãããšãèµ·ãã;"
] | [
"fact3 -> int1: {A};"
] | èªçºãæããšããããšã¯çºçããªã | ¬{D} | [] | 8 | 3 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã¿ãã¿ãLv.81äºä»¶ã¯èªçºãæããšããããšã¯èµ·ããªããšããããšãé»æ¢ãã fact2: ä»®ã«èšäŒããããšã¯èµ·ãããªããšããããæŠãåãããšããã³èªçºãæããšããããšãèµ·ããããšããããšã¯ééãã fact3: æŠãåãããšãšèšäŒããããšäž¡æ¹ãšããèµ·ãã fact4: æ¥ããããšããããšããŸãã¯ã¿ãã¿ãLv.81äºä»¶ãçãããšããããšã¯ã¿ãã¿ãLv.65äºä»¶ã¯çºçããªããšããããšã«ããçºçãã fact5: ãããæŠãåãããšãšèªçºãæããšããããšãçããããšããããšã¯èª€ãã§ãããšãããèªçºãæããšããããšã¯çºçããªã ; $hypothesis$ = èªçºãæããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} -> {D} fact2: ¬{B} -> ¬({A} & {D}) fact3: ({A} & {B}) fact4: ¬{F} -> ({E} v {C}) fact5: ¬({A} & {D}) -> ¬{D} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ã¡ã
ã·ã®Lv.27ã¯éãåããšããããšã¯ãªããã¡ã£ã¡ããããšããããšã¯æãç«ããªã | ¬(¬{D}{b} & {E}{b}) | fact1: ãã®ãŽã«ã
ãŽã¡ãLv.55ã¯ã¢ãããŒããæã fact2: ãã®ã·ã¡ã
ã·ã®Lv.27ã¯ã¡ã£ã¡ãã fact3: ä»®ã«ãã®ã·ã¡ã
ã·ã®Lv.27ãééããªããªãã°ãã®ã·ã¡ã
ã·ã®Lv.27ã¯ã¡ã£ã¡ãã fact4: ãããã®ã·ã¡ã
ã·ã®Lv.27ãééããªããšãããšãã®ã·ã¡ã
ã·ã®Lv.27ã¯éãåããªããã¡ã£ã¡ãã fact5: ããã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãããããã¯ã¢ãããŒããæãããšããããšã¯äºå®ãšç°ãªããªããªããã®ã·ã¡ã
ã·ã®Lv.27ã¯ééããªã fact6: ãã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãã fact7: ãããã®ãŽã®ãŽãLv.91ãã¢ãããŒããæããªããšãããšãã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãããªã | fact1: {B}{a} fact2: {E}{b} fact3: ¬{C}{b} -> {E}{b} fact4: ¬{C}{b} -> (¬{D}{b} & {E}{b}) fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: {A}{a} fact7: ¬{B}{c} -> ¬{A}{a} | [
"fact6 & fact1 -> int1: ãã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãããå ããŠã¢ãããŒããæã; int1 & fact5 -> int2: ãã®ã·ã¡ã
ã·ã®Lv.27ã¯ééããªã; int2 & fact4 -> hypothesis;"
] | [
"fact6 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> int2: ¬{C}{b}; int2 & fact4 -> hypothesis;"
] | ããã®ã·ã¡ã
ã·ã®Lv.27ã¯éãåããšããããšã¯ãªããã¡ã£ã¡ããããšããããšã¯æãç«ããªã | ¬(¬{D}{b} & {E}{b}) | [] | 7 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŽã«ã
ãŽã¡ãLv.55ã¯ã¢ãããŒããæã fact2: ãã®ã·ã¡ã
ã·ã®Lv.27ã¯ã¡ã£ã¡ãã fact3: ä»®ã«ãã®ã·ã¡ã
ã·ã®Lv.27ãééããªããªãã°ãã®ã·ã¡ã
ã·ã®Lv.27ã¯ã¡ã£ã¡ãã fact4: ãããã®ã·ã¡ã
ã·ã®Lv.27ãééããªããšãããšãã®ã·ã¡ã
ã·ã®Lv.27ã¯éãåããªããã¡ã£ã¡ãã fact5: ããã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãããããã¯ã¢ãããŒããæãããšããããšã¯äºå®ãšç°ãªããªããªããã®ã·ã¡ã
ã·ã®Lv.27ã¯ééããªã fact6: ãã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãã fact7: ãããã®ãŽã®ãŽãLv.91ãã¢ãããŒããæããªããšãããšãã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãããªã ; $hypothesis$ = ããã®ã·ã¡ã
ã·ã®Lv.27ã¯éãåããšããããšã¯ãªããã¡ã£ã¡ããããšããããšã¯æãç«ããªã ; $proof$ = | fact6 & fact1 -> int1: ãã®ãŽã«ã
ãŽã¡ãLv.55ã¯å¹³ã£ãããå ããŠã¢ãããŒããæã; int1 & fact5 -> int2: ãã®ã·ã¡ã
ã·ã®Lv.27ã¯ééããªã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: {E}{b} fact3: ¬{C}{b} -> {E}{b} fact4: ¬{C}{b} -> (¬{D}{b} & {E}{b}) fact5: ({A}{a} & {B}{a}) -> ¬{C}{b} fact6: {A}{a} fact7: ¬{B}{c} -> ¬{A}{a} ; $hypothesis$ = ¬(¬{D}{b} & {E}{b}) ; $proof$ = | fact6 & fact1 -> int1: ({A}{a} & {B}{a}); int1 & fact5 -> int2: ¬{C}{b}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããªããLv.56ã¯äŸå¥ãããããã«èª¬æåºæ¥ã | ({C}{a} & {D}{a}) | fact1: ãã®ãŽã¡ããŽã«Lv.26ã¯æ¥œãã fact2: ãã®ããªããLv.56ã¯æããããããã®äžæãã fact3: ãã®ããªããLv.56ã¯èª¬æåºæ¥ã fact4: ãã®ããªããLv.56ã¯æŽçåºæ¥ã fact5: ä»®ã«ãã®ããªããLv.56ã楜ãããªããã®ããªããLv.56ã¯äŸå¥ãã fact6: ãã®ãŸã¡ããŸãLv.16ã¯äŸå¥ãã fact7: ãã®ããªããLv.56ã¯æ¥œãããæŽçåºæ¥ã | fact1: {A}{k} fact2: ({JA}{a} & {BU}{a}) fact3: {D}{a} fact4: {B}{a} fact5: {A}{a} -> {C}{a} fact6: {C}{et} fact7: ({A}{a} & {B}{a}) | [
"fact7 -> int1: ãã®ããªããLv.56ã¯æ¥œãã; int1 & fact5 -> int2: ãã®ããªããLv.56ã¯äŸå¥ãã; int2 & fact3 -> hypothesis;"
] | [
"fact7 -> int1: {A}{a}; int1 & fact5 -> int2: {C}{a}; int2 & fact3 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã¡ããŽã«Lv.26ã¯æ¥œãã fact2: ãã®ããªããLv.56ã¯æããããããã®äžæãã fact3: ãã®ããªããLv.56ã¯èª¬æåºæ¥ã fact4: ãã®ããªããLv.56ã¯æŽçåºæ¥ã fact5: ä»®ã«ãã®ããªããLv.56ã楜ãããªããã®ããªããLv.56ã¯äŸå¥ãã fact6: ãã®ãŸã¡ããŸãLv.16ã¯äŸå¥ãã fact7: ãã®ããªããLv.56ã¯æ¥œãããæŽçåºæ¥ã ; $hypothesis$ = ãã®ããªããLv.56ã¯äŸå¥ãããããã«èª¬æåºæ¥ã ; $proof$ = | fact7 -> int1: ãã®ããªããLv.56ã¯æ¥œãã; int1 & fact5 -> int2: ãã®ããªããLv.56ã¯äŸå¥ãã; int2 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{k} fact2: ({JA}{a} & {BU}{a}) fact3: {D}{a} fact4: {B}{a} fact5: {A}{a} -> {C}{a} fact6: {C}{et} fact7: ({A}{a} & {B}{a}) ; $hypothesis$ = ({C}{a} & {D}{a}) ; $proof$ = | fact7 -> int1: {A}{a}; int1 & fact5 -> int2: {C}{a}; int2 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœã®ãœã®Lv.87ã¯åäŸããã | {B}{a} | fact1: ããã®ãœã«ããœã«ãLv.70ã¯é
èããªããããã¯çœ¹æ£ãæããªããäž¡æ¹ã ããšããããšã¯æãç«ããªããªãã°ãã®ãœã®ãœã®Lv.87ã¯ãã£ããã fact2: ããã¯é
èããªãããããã¯ããã¯çœ¹æ£ãæããªãããããã¯ã©ã¡ããã§ãããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ãã®ãŽã«ããŽãLv.31ã¯çœ¹æ£ãæã fact4: ããããã®ãœã®ãœã®Lv.87ããã£ããããšãããšãã®ãœã®ãœã®Lv.87ã¯åäŸããã | fact1: ¬(¬{AA}{aa} v ¬{AB}{aa}) -> {A}{a} fact2: (x): ¬(¬{AA}x v ¬{AB}x) fact3: {AB}{f} fact4: {A}{a} -> {B}{a} | [
"fact2 -> int1: ããã®ãœã«ããœã«ãLv.70ã¯é
èããªãããŸãã¯ããã¯çœ¹æ£ãæããšããããšã¯ãªãããšããããšã¯èª€ãã ; int1 & fact1 -> int2: ãã®ãœã®ãœã®Lv.87ã¯ãã£ããã; int2 & fact4 -> hypothesis;"
] | [
"fact2 -> int1: ¬(¬{AA}{aa} v ¬{AB}{aa}); int1 & fact1 -> int2: {A}{a}; int2 & fact4 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ãœã«ããœã«ãLv.70ã¯é
èããªããããã¯çœ¹æ£ãæããªããäž¡æ¹ã ããšããããšã¯æãç«ããªããªãã°ãã®ãœã®ãœã®Lv.87ã¯ãã£ããã fact2: ããã¯é
èããªãããããã¯ããã¯çœ¹æ£ãæããªãããããã¯ã©ã¡ããã§ãããšããã¢ã³ã¹ã¿ãŒã¯ãªã fact3: ãã®ãŽã«ããŽãLv.31ã¯çœ¹æ£ãæã fact4: ããããã®ãœã®ãœã®Lv.87ããã£ããããšãããšãã®ãœã®ãœã®Lv.87ã¯åäŸããã ; $hypothesis$ = ãã®ãœã®ãœã®Lv.87ã¯åäŸããã ; $proof$ = | fact2 -> int1: ããã®ãœã«ããœã«ãLv.70ã¯é
èããªãããŸãã¯ããã¯çœ¹æ£ãæããšããããšã¯ãªãããšããããšã¯èª€ãã ; int1 & fact1 -> int2: ãã®ãœã®ãœã®Lv.87ã¯ãã£ããã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬(¬{AA}{aa} v ¬{AB}{aa}) -> {A}{a} fact2: (x): ¬(¬{AA}x v ¬{AB}x) fact3: {AB}{f} fact4: {A}{a} -> {B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | fact2 -> int1: ¬(¬{AA}{aa} v ¬{AB}{aa}); int1 & fact1 -> int2: {A}{a}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãŸãªãŸã«ãLv.10äºä»¶ãèµ·ãã | {D} | fact1: ãŸã«ãŸã«Lv.53äºä»¶ãããããLv.49äºä»¶ãçºçãããšããããšã¯å¥æ©ã§ãã fact2: ãŸã«ãŸã«Lv.53äºä»¶ã¯ã埡æ¢ãããããšãèµ·ããäžæ¹ã§åŸ¡æªããšããããšã¯èµ·ãããªãããšããããšã«é»ãŸãã fact3: ã埡æªããšããããšããããã¯ãŸã«ãŸã«Lv.53äºä»¶ãçããããšããããšã¯ããŸãªãŸã«ãLv.10äºä»¶ã¯èµ·ããªãããšããããšã«ç¹ãã fact4: ããããLv.49äºä»¶ãçºçãã fact5: ããã埡æªããšããããšãèµ·ãããšããã°ããŸã«ãŸã«Lv.53äºä»¶ãèµ·ããªãããããã¯ããããLv.49äºä»¶ã¯çºçããããšããããšã¯èª€ãã fact6: ã¿ãã¿ã«ã
Lv.47äºä»¶ã¯çããªããšããããšã¯ã埡æ¢ãããããšãçããããã©åŸ¡æªããšããããšã¯èµ·ããªãããšããããšãæã fact7: ãããŸã«ãŸã«Lv.53äºä»¶ã¯çºçããªãããããã¯ããããLv.49äºä»¶ãèµ·ããããããã¯äž¡æ¹ãšãã ããšããããšã¯åã§ãããªãã°ãœããœã«Lv.54äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ã fact8: ããããLv.61äºä»¶ãèµ·ããªããããŸãã«åããèŸããšããããšã¯çºçããªããšããã°ã¿ãã¿ã«ã
Lv.47äºä»¶ã¯èµ·ãããªã | fact1: {A} -> {B} fact2: ({E} & ¬{C}) -> ¬{B} fact3: ({C} v {B}) -> ¬{D} fact4: {A} fact5: {C} -> ¬(¬{B} v {A}) fact6: ¬{F} -> ({E} & ¬{C}) fact7: ¬(¬{B} v {A}) -> ¬{U} fact8: (¬{G} & ¬{H}) -> ¬{F} | [
"fact1 & fact4 -> int1: ãŸã«ãŸã«Lv.53äºä»¶ãçºçãã; int1 -> int2: 埡æªããšããããšãçããããããã¯ãŸã«ãŸã«Lv.53äºä»¶ãèµ·ãã; int2 & fact3 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact3 -> hypothesis;"
] | ãœããœã«Lv.54äºä»¶ã¯çºçããªã | ¬{U} | [] | 7 | 3 | 3 | 3 | 3 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãŸã«ãŸã«Lv.53äºä»¶ãããããLv.49äºä»¶ãçºçãããšããããšã¯å¥æ©ã§ãã fact2: ãŸã«ãŸã«Lv.53äºä»¶ã¯ã埡æ¢ãããããšãèµ·ããäžæ¹ã§åŸ¡æªããšããããšã¯èµ·ãããªãããšããããšã«é»ãŸãã fact3: ã埡æªããšããããšããããã¯ãŸã«ãŸã«Lv.53äºä»¶ãçããããšããããšã¯ããŸãªãŸã«ãLv.10äºä»¶ã¯èµ·ããªãããšããããšã«ç¹ãã fact4: ããããLv.49äºä»¶ãçºçãã fact5: ããã埡æªããšããããšãèµ·ãããšããã°ããŸã«ãŸã«Lv.53äºä»¶ãèµ·ããªãããããã¯ããããLv.49äºä»¶ã¯çºçããããšããããšã¯èª€ãã fact6: ã¿ãã¿ã«ã
Lv.47äºä»¶ã¯çããªããšããããšã¯ã埡æ¢ãããããšãçããããã©åŸ¡æªããšããããšã¯èµ·ããªãããšããããšãæã fact7: ãããŸã«ãŸã«Lv.53äºä»¶ã¯çºçããªãããããã¯ããããLv.49äºä»¶ãèµ·ããããããã¯äž¡æ¹ãšãã ããšããããšã¯åã§ãããªãã°ãœããœã«Lv.54äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ã fact8: ããããLv.61äºä»¶ãèµ·ããªããããŸãã«åããèŸããšããããšã¯çºçããªããšããã°ã¿ãã¿ã«ã
Lv.47äºä»¶ã¯èµ·ãããªã ; $hypothesis$ = ãŸãªãŸã«ãLv.10äºä»¶ãèµ·ãã ; $proof$ = | fact1 & fact4 -> int1: ãŸã«ãŸã«Lv.53äºä»¶ãçºçãã; int1 -> int2: 埡æªããšããããšãçããããããã¯ãŸã«ãŸã«Lv.53äºä»¶ãèµ·ãã; int2 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: ({E} & ¬{C}) -> ¬{B} fact3: ({C} v {B}) -> ¬{D} fact4: {A} fact5: {C} -> ¬(¬{B} v {A}) fact6: ¬{F} -> ({E} & ¬{C}) fact7: ¬(¬{B} v {A}) -> ¬{U} fact8: (¬{G} & ¬{H}) -> ¬{F} ; $hypothesis$ = {D} ; $proof$ = | fact1 & fact4 -> int1: {B}; int1 -> int2: ({C} v {B}); int2 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ã¿ã«ãã¿ãLv.75äºä»¶ãçºçãã | {D} | fact1: ããŽããŽã«ãLv.36äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠããªã fact2: ã¿ã«ã
ã¿ãLv.83äºä»¶ã¯èµ·ãããªã fact3: ã¿ã®ã¿ã¡ãLv.62äºä»¶ã¯ã¿ã¡ãã¿ãLv.77äºä»¶ããã³æèšããããšãçããã«é»æ¢ããã fact4: æ°é«ããšããããšãçºçãã fact5: çãäžããããšãèµ·ãã fact6: ãããæ°é«ããšããããšããã³æµžãåãããšäž¡æ¹ãšããèµ·ããã°éžæããæããšããããšã¯èµ·ãããªã fact7: ã¿ã«ãã¿ãLv.75äºä»¶ã¯éžæããæããšããããšã¯èµ·ãããªããšããããšã«é»ãŸãã fact8: åãŸãããšããããšã¯çããªã | fact1: ¬{JA} fact2: ¬{GA} fact3: ({BH} & {BU}) -> ¬{IL} fact4: {A} fact5: {IS} fact6: ({A} & {B}) -> ¬{C} fact7: ¬{C} -> ¬{D} fact8: ¬{L} | [] | [] | null | null | [] | null | 3 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããŽããŽã«ãLv.36äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠããªã fact2: ã¿ã«ã
ã¿ãLv.83äºä»¶ã¯èµ·ãããªã fact3: ã¿ã®ã¿ã¡ãLv.62äºä»¶ã¯ã¿ã¡ãã¿ãLv.77äºä»¶ããã³æèšããããšãçããã«é»æ¢ããã fact4: æ°é«ããšããããšãçºçãã fact5: çãäžããããšãèµ·ãã fact6: ãããæ°é«ããšããããšããã³æµžãåãããšäž¡æ¹ãšããèµ·ããã°éžæããæããšããããšã¯èµ·ãããªã fact7: ã¿ã«ãã¿ãLv.75äºä»¶ã¯éžæããæããšããããšã¯èµ·ãããªããšããããšã«é»ãŸãã fact8: åãŸãããšããããšã¯çããªã ; $hypothesis$ = ã¿ã«ãã¿ãLv.75äºä»¶ãçºçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{JA} fact2: ¬{GA} fact3: ({BH} & {BU}) -> ¬{IL} fact4: {A} fact5: {IS} fact6: ({A} & {B}) -> ¬{C} fact7: ¬{C} -> ¬{D} fact8: ¬{L} ; $hypothesis$ = {D} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãªã¿ãLv.17ã¯æãåºæ·±ããŠèããé£ã | ({C}{a} & {B}{a}) | fact1: ããä»®ã«ãã®ã¿ãªã¿ãLv.17ãèéããªãã°ãã®ã¿ãªã¿ãLv.17ã¯èããé£ã fact2: ãã®ã¿ãªã¿ãLv.17ã¯æãåºæ·±ã fact3: ãã®ã¿ãªã¿ãLv.17ã¯èéã | fact1: {A}{a} -> {B}{a} fact2: {C}{a} fact3: {A}{a} | [
"fact1 & fact3 -> int1: ãã®ã¿ãªã¿ãLv.17ã¯èããé£ã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããä»®ã«ãã®ã¿ãªã¿ãLv.17ãèéããªãã°ãã®ã¿ãªã¿ãLv.17ã¯èããé£ã fact2: ãã®ã¿ãªã¿ãLv.17ã¯æãåºæ·±ã fact3: ãã®ã¿ãªã¿ãLv.17ã¯èéã ; $hypothesis$ = ãã®ã¿ãªã¿ãLv.17ã¯æãåºæ·±ããŠèããé£ã ; $proof$ = | fact1 & fact3 -> int1: ãã®ã¿ãªã¿ãLv.17ã¯èããé£ã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {C}{a} fact3: {A}{a} ; $hypothesis$ = ({C}{a} & {B}{a}) ; $proof$ = | fact1 & fact3 -> int1: {B}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | åç¡ããšããããšãèµ·ãã | {D} | fact1: ã·ã«ã
ã·ã«ã
Lv.34äºä»¶ã¯åµãŸãããšããã³åããããšããããšãèµ·ããã«é²ããã fact2: éããšããããšãçºçãã fact3: ãçã
ãããšããããšã¯çºçããªãããšããããšã¯ãŸããŸãªLv.26äºä»¶ãšéããšããããšãèµ·ãããæã fact4: åã¡æ®ãããšãèµ·ãããããŸãã«ããã©ããšããããšãçºçãã fact5: åç¡ããšããããšã¯åã¡æ®ãããšããã³éããšããããšãçºçããã«é»æ¢ããã | fact1: ({AR} & {BD}) -> ¬{CL} fact2: {C} fact3: ¬{F} -> ({AD} & {C}) fact4: ({A} & {B}) fact5: ({A} & {C}) -> ¬{D} | [
"fact4 -> int1: ãåã¡æ®ãããšãèµ·ããããšããããšã¯ç¢ºãã ; int1 & fact2 -> int2: åã¡æ®ãããšãèµ·ããããã®äžéããšããããšãèµ·ãã; int2 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: {A}; int1 & fact2 -> int2: ({A} & {C}); int2 & fact5 -> hypothesis;"
] | ãŸããŸãªLv.26äºä»¶ãšçãé£ããšããããšäž¡æ¹ãèµ·ãã | ({AD} & {BH}) | [] | 4 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ã·ã«ã
ã·ã«ã
Lv.34äºä»¶ã¯åµãŸãããšããã³åããããšããããšãèµ·ããã«é²ããã fact2: éããšããããšãçºçãã fact3: ãçã
ãããšããããšã¯çºçããªãããšããããšã¯ãŸããŸãªLv.26äºä»¶ãšéããšããããšãèµ·ãããæã fact4: åã¡æ®ãããšãèµ·ãããããŸãã«ããã©ããšããããšãçºçãã fact5: åç¡ããšããããšã¯åã¡æ®ãããšããã³éããšããããšãçºçããã«é»æ¢ããã ; $hypothesis$ = åç¡ããšããããšãèµ·ãã ; $proof$ = | fact4 -> int1: ãåã¡æ®ãããšãèµ·ããããšããããšã¯ç¢ºãã ; int1 & fact2 -> int2: åã¡æ®ãããšãèµ·ããããã®äžéããšããããšãèµ·ãã; int2 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AR} & {BD}) -> ¬{CL} fact2: {C} fact3: ¬{F} -> ({AD} & {C}) fact4: ({A} & {B}) fact5: ({A} & {C}) -> ¬{D} ; $hypothesis$ = {D} ; $proof$ = | fact4 -> int1: {A}; int1 & fact2 -> int2: ({A} & {C}); int2 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽã®ãŽãLv.97ã¯äºããããªã | ¬{A}{a} | fact1: ãããããã®ãœã¡ããœãLv.98ã¯çãé£ããªãããŸãã¯ããã¯å¯Ÿå¿ãæãããšããããšã¯æãç«ããªããšããã°ãã®ãœã¡ããœãLv.98ã¯åŸ¡åãç¡ã | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããããã®ãœã¡ããœãLv.98ã¯çãé£ããªãããŸãã¯ããã¯å¯Ÿå¿ãæãããšããããšã¯æãç«ããªããšããã°ãã®ãœã¡ããœãLv.98ã¯åŸ¡åãç¡ã ; $hypothesis$ = ãã®ãŽã®ãŽãLv.97ã¯äºããããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ¬{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ã«ã
ã·ã«ã
Lv.82ã¯äœµçœ®ãããããã«è©±ãé£ãããšããããšã¯èª€ãã§ãã | ¬({B}{b} & {C}{b}) | fact1: ãããã®ãœããœã¡ãLv.73ã¯çŽ°ããšãããããã®ã·ã«ã
ã·ã«ã
Lv.82ã¯äœµçœ®ããããšããããšã¯ç¢ºãã§ãã fact2: ä»®ã«ãã奥深ããªãããããç¡ååããããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒããããšããããã®ãœããœã¡ãLv.73ã¯çŽ°ã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯çŽ°ããªããšããã°ãããã¯äœµçœ®ããããããããã¯è©±ãé£ãããšããããšã¯æãç«ããªã fact4: ããã®ãã¡ã
ãã®Lv.57ã¯çŽ°ãããšããããšã¯æ¬åœã fact5: ãã奥深ããªããŠããã«ç¡ååããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã®ã·ã«ã
ã·ã«ã
Lv.82ã¯è©±ãé£ã | fact1: {A}{a} -> {B}{b} fact2: (x): ¬(¬{AA}x & {AB}x) -> {A}{a} fact3: (x): ¬{A}x -> ¬({B}x & {C}x) fact4: {A}{h} fact5: (Ex): ¬(¬{AA}x & {AB}x) fact6: {C}{b} | [
"fact5 & fact2 -> int1: ããã®ãœããœã¡ãLv.73ã¯çŽ°ãããšããããšã¯æãç«ã€; int1 & fact1 -> int2: ãã®ã·ã«ã
ã·ã«ã
Lv.82ã¯äœµçœ®ãã; int2 & fact6 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {A}{a}; int1 & fact1 -> int2: {B}{b}; int2 & fact6 -> hypothesis;"
] | ãã®ãã¡ã
ãã®Lv.57ã¯çŽ°ããŠããã¯æ©ãèŸã | ({A}{h} & {L}{h}) | [] | 4 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãœããœã¡ãLv.73ã¯çŽ°ããšãããããã®ã·ã«ã
ã·ã«ã
Lv.82ã¯äœµçœ®ããããšããããšã¯ç¢ºãã§ãã fact2: ä»®ã«ãã奥深ããªãããããç¡ååããããšããããšã¯æãç«ã€ãšããããšã¯ãªããã¢ã³ã¹ã¿ãŒããããšããããã®ãœããœã¡ãLv.73ã¯çŽ°ã fact3: ããä»®ã«ããã¢ã³ã¹ã¿ãŒã¯çŽ°ããªããšããã°ãããã¯äœµçœ®ããããããããã¯è©±ãé£ãããšããããšã¯æãç«ããªã fact4: ããã®ãã¡ã
ãã®Lv.57ã¯çŽ°ãããšããããšã¯æ¬åœã fact5: ãã奥深ããªããŠããã«ç¡ååããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact6: ãã®ã·ã«ã
ã·ã«ã
Lv.82ã¯è©±ãé£ã ; $hypothesis$ = ããã®ã·ã«ã
ã·ã«ã
Lv.82ã¯äœµçœ®ãããããã«è©±ãé£ãããšããããšã¯èª€ãã§ãã ; $proof$ = | fact5 & fact2 -> int1: ããã®ãœããœã¡ãLv.73ã¯çŽ°ãããšããããšã¯æãç«ã€; int1 & fact1 -> int2: ãã®ã·ã«ã
ã·ã«ã
Lv.82ã¯äœµçœ®ãã; int2 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: (x): ¬(¬{AA}x & {AB}x) -> {A}{a} fact3: (x): ¬{A}x -> ¬({B}x & {C}x) fact4: {A}{h} fact5: (Ex): ¬(¬{AA}x & {AB}x) fact6: {C}{b} ; $hypothesis$ = ¬({B}{b} & {C}{b}) ; $proof$ = | fact5 & fact2 -> int1: {A}{a}; int1 & fact1 -> int2: {B}{b}; int2 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãããã«Lv.83ã¯åºå
ããªã | ¬{D}{a} | fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯åºå
ããšããããããã·ã¥ããããšããããšã¯ç¢ºãã fact2: ãã®ãããã«Lv.83ã¯åŸ¡æ¿ããŠæŽã«å¯µãã fact3: ããä»®ã«ãã®ãããã«Lv.83ã寵ãããšããã°ãã®ãããã«Lv.83ã¯èœã¡é£ã fact4: ãã®ãããã«Lv.83ãèœã¡é£ããšãããšããã¯åºå
ã | fact1: (x): {D}x -> {ET}x fact2: ({A}{a} & {B}{a}) fact3: {B}{a} -> {C}{a} fact4: {C}{a} -> {D}{a} | [
"fact2 -> int1: ãã®ãããã«Lv.83ã¯å¯µãã; int1 & fact3 -> int2: ãã®ãããã«Lv.83ã¯èœã¡é£ã; int2 & fact4 -> hypothesis;"
] | [
"fact2 -> int1: {B}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact4 -> hypothesis;"
] | ããããã®ãããã«Lv.83ãåºå
ããšãããšãã®ãããã«Lv.83ã¯ããã·ã¥ãã | {D}{a} -> {ET}{a} | [
"fact5 -> hypothesis;"
] | 1 | 3 | 3 | 3 | 3 | 1 | 0 | 1 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒã¯åºå
ããšããããããã·ã¥ããããšããããšã¯ç¢ºãã fact2: ãã®ãããã«Lv.83ã¯åŸ¡æ¿ããŠæŽã«å¯µãã fact3: ããä»®ã«ãã®ãããã«Lv.83ã寵ãããšããã°ãã®ãããã«Lv.83ã¯èœã¡é£ã fact4: ãã®ãããã«Lv.83ãèœã¡é£ããšãããšããã¯åºå
ã ; $hypothesis$ = ãã®ãããã«Lv.83ã¯åºå
ããªã ; $proof$ = | fact2 -> int1: ãã®ãããã«Lv.83ã¯å¯µãã; int1 & fact3 -> int2: ãã®ãããã«Lv.83ã¯èœã¡é£ã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {D}x -> {ET}x fact2: ({A}{a} & {B}{a}) fact3: {B}{a} -> {C}{a} fact4: {C}{a} -> {D}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact2 -> int1: {B}{a}; int1 & fact3 -> int2: {C}{a}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã·ã®ã·ãLv.64äºä»¶ãçºçããããšããããšã¯æ£ãã | {D} | fact1: ãœããœãLv.33äºä»¶ãšã·ãã·ãLv.9äºä»¶äž¡æ¹ãèµ·ãã fact2: ãœããœãLv.5äºä»¶ãèµ·ãã fact3: ã·ãã·ãLv.95äºä»¶ãèµ·ãã fact4: ããããœããœãLv.33äºä»¶ãèµ·ããããŸãªãŸã«ã
Lv.33äºä»¶ãçºçããã°ã·ã®ã·ãLv.64äºä»¶ã¯èµ·ããªã fact5: ãŸãªãŸã«ã
Lv.33äºä»¶ãèµ·ãã fact6: èžã¿æ¢ãŸãããšãçãããæŽã«èŠ³å
客ããããšããããšãèµ·ãã fact7: ä»®ã«ãã·ãã·ãLv.9äºä»¶ã¯çããªãããšããããšã¯çå®ãªãã°ãœããœãLv.33äºä»¶ãšã·ã®ã·ãLv.64äºä»¶ã©ã¡ãããèµ·ãã | fact1: ({A} & {B}) fact2: {CS} fact3: {IB} fact4: ({A} & {C}) -> ¬{D} fact5: {C} fact6: ({EN} & {JA}) fact7: ¬{B} -> ({A} & {D}) | [
"fact1 -> int1: ãœããœãLv.33äºä»¶ãçãã; int1 & fact5 -> int2: ãœããœãLv.33äºä»¶ãçºçããããŸãªãŸã«ã
Lv.33äºä»¶ãèµ·ãã; int2 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact5 -> int2: ({A} & {C}); int2 & fact4 -> hypothesis;"
] | ãã·ã®ã·ãLv.64äºä»¶ãçºçããããšããããšã¯æ£ãã | {D} | [] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœããœãLv.33äºä»¶ãšã·ãã·ãLv.9äºä»¶äž¡æ¹ãèµ·ãã fact2: ãœããœãLv.5äºä»¶ãèµ·ãã fact3: ã·ãã·ãLv.95äºä»¶ãèµ·ãã fact4: ããããœããœãLv.33äºä»¶ãèµ·ããããŸãªãŸã«ã
Lv.33äºä»¶ãçºçããã°ã·ã®ã·ãLv.64äºä»¶ã¯èµ·ããªã fact5: ãŸãªãŸã«ã
Lv.33äºä»¶ãèµ·ãã fact6: èžã¿æ¢ãŸãããšãçãããæŽã«èŠ³å
客ããããšããããšãèµ·ãã fact7: ä»®ã«ãã·ãã·ãLv.9äºä»¶ã¯çããªãããšããããšã¯çå®ãªãã°ãœããœãLv.33äºä»¶ãšã·ã®ã·ãLv.64äºä»¶ã©ã¡ãããèµ·ãã ; $hypothesis$ = ãã·ã®ã·ãLv.64äºä»¶ãçºçããããšããããšã¯æ£ãã ; $proof$ = | fact1 -> int1: ãœããœãLv.33äºä»¶ãçãã; int1 & fact5 -> int2: ãœããœãLv.33äºä»¶ãçºçããããŸãªãŸã«ã
Lv.33äºä»¶ãèµ·ãã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {CS} fact3: {IB} fact4: ({A} & {C}) -> ¬{D} fact5: {C} fact6: ({EN} & {JA}) fact7: ¬{B} -> ({A} & {D}) ; $hypothesis$ = {D} ; $proof$ = | fact1 -> int1: {A}; int1 & fact5 -> int2: ({A} & {C}); int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ããŽããŽãLv.24äºä»¶ããã³è¡šæåºæ¥ãããšãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({C} & {D}) | fact1: è¡šæåºæ¥ãããšãèµ·ãã fact2: å€ããæããšããããšãèµ·ããäžæ¹ã§ãœã«ããœã«ãLv.70äºä»¶ã¯èµ·ãããªã fact3: åæ°ãªããšããããšããã³å¯ããšããããšãèµ·ãã fact4: ãŽã®ãŽãªLv.62äºä»¶ãèµ·ãã fact5: è¬ããããšã¯ããŽããŽãLv.24äºä»¶ãèµ·ããããšããããšã«åž°çµãã fact6: è¬ããããšãçºçãããæ ¹åŒ·ããšããããšã¯èµ·ãããªã | fact1: {D} fact2: ({BR} & ¬{CQ}) fact3: ({H} & {GK}) fact4: {JJ} fact5: {A} -> {C} fact6: ({A} & ¬{B}) | [
"fact6 -> int1: è¬ããããšãèµ·ãã; int1 & fact5 -> int2: ãŽããŽãLv.24äºä»¶ãèµ·ãã; int2 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: {A}; int1 & fact5 -> int2: {C}; int2 & fact1 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: è¡šæåºæ¥ãããšãèµ·ãã fact2: å€ããæããšããããšãèµ·ããäžæ¹ã§ãœã«ããœã«ãLv.70äºä»¶ã¯èµ·ãããªã fact3: åæ°ãªããšããããšããã³å¯ããšããããšãèµ·ãã fact4: ãŽã®ãŽãªLv.62äºä»¶ãèµ·ãã fact5: è¬ããããšã¯ããŽããŽãLv.24äºä»¶ãèµ·ããããšããããšã«åž°çµãã fact6: è¬ããããšãçºçãããæ ¹åŒ·ããšããããšã¯èµ·ãããªã ; $hypothesis$ = ããŽããŽãLv.24äºä»¶ããã³è¡šæåºæ¥ãããšãçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact6 -> int1: è¬ããããšãèµ·ãã; int1 & fact5 -> int2: ãŽããŽãLv.24äºä»¶ãèµ·ãã; int2 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {D} fact2: ({BR} & ¬{CQ}) fact3: ({H} & {GK}) fact4: {JJ} fact5: {A} -> {C} fact6: ({A} & ¬{B}) ; $hypothesis$ = ¬({C} & {D}) ; $proof$ = | fact6 -> int1: {A}; int1 & fact5 -> int2: {C}; int2 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœãªãœã®Lv.84ã¯é®éåããããããã¯éããã | ({C}{b} v {D}{b}) | fact1: ããããã®ã¿ãªã¿ãªLv.11ãæµãããšãããšãã®ãœãªãœã®Lv.84ã¯é®éåãã fact2: ããä»®ã«ãã®ã¿ãªã¿ãªLv.11ãæ±ãæããšããããã®ãœããœã«ãLv.92ã¯çšãæã fact3: ãã®ã¿ãªã¿ãªLv.11ãé®éåãããšããã°ããã¯æ±ãæããæµããªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ±ãæããªããšããããããã¯é®éåããããŸãã¯éãããããããã¯ã©ã¡ããã ããšããããšã¯ééãã§ãã fact5: ãã®ã¿ãªã¿ãªLv.11ã¯æ±ãæããŠããŸãã«ããã¯æµãã | fact1: {B}{a} -> {C}{b} fact2: {A}{a} -> {AE}{fm} fact3: {C}{a} -> ({A}{a} & ¬{B}{a}) fact4: (x): ¬{A}x -> ¬({C}x v {D}x) fact5: ({A}{a} & {B}{a}) | [
"fact5 -> int1: ãã®ã¿ãªã¿ãªLv.11ã¯æµãã; int1 & fact1 -> int2: ãã®ãœãªãœã®Lv.84ã¯é®éåãã; int2 -> hypothesis;"
] | [
"fact5 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 -> hypothesis;"
] | ããã®ãœãªãœã®Lv.84ã¯é®éåããããããã¯éãããããããã¯ã©ã¡ããã ããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({C}{b} v {D}{b}) | [
"fact6 -> int3: ä»®ã«ãã®ã¿ãªã¿ãªLv.11ã¯æ±ãæããªããšããã°ãé®éåããããããã¯éãããããŸãã¯ã©ã¡ããã§ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã;"
] | 6 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã¿ãªã¿ãªLv.11ãæµãããšãããšãã®ãœãªãœã®Lv.84ã¯é®éåãã fact2: ããä»®ã«ãã®ã¿ãªã¿ãªLv.11ãæ±ãæããšããããã®ãœããœã«ãLv.92ã¯çšãæã fact3: ãã®ã¿ãªã¿ãªLv.11ãé®éåãããšããã°ããã¯æ±ãæããæµããªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ±ãæããªããšããããããã¯é®éåããããŸãã¯éãããããããã¯ã©ã¡ããã ããšããããšã¯ééãã§ãã fact5: ãã®ã¿ãªã¿ãªLv.11ã¯æ±ãæããŠããŸãã«ããã¯æµãã ; $hypothesis$ = ãã®ãœãªãœã®Lv.84ã¯é®éåããããããã¯éããã ; $proof$ = | fact5 -> int1: ãã®ã¿ãªã¿ãªLv.11ã¯æµãã; int1 & fact1 -> int2: ãã®ãœãªãœã®Lv.84ã¯é®éåãã; int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{b} fact2: {A}{a} -> {AE}{fm} fact3: {C}{a} -> ({A}{a} & ¬{B}{a}) fact4: (x): ¬{A}x -> ¬({C}x v {D}x) fact5: ({A}{a} & {B}{a}) ; $hypothesis$ = ({C}{b} v {D}{b}) ; $proof$ = | fact5 -> int1: {B}{a}; int1 & fact1 -> int2: {C}{b}; int2 -> hypothesis; __PROVED__ |
0.3 | çæãããšããããšãçãã | {C} | fact1: æããããšããããšãèµ·ãã fact2: ãã¿ã¡ãã¿ãLv.84äºä»¶ãèµ·ããããšããããšã¯åã§ãªã fact3: ããæããããšããããšã¯èµ·ããªããšãããçæãããšããããšããã³ã¿ã¡ãã¿ãLv.84äºä»¶ãçºçãã fact4: ããä»®ã«ããšãããšããããšãçããããšããããšã¯äºå®ãªãæããããšããããšã§ã¯ãªã確å®åºæ¥ãããšãçºçãã fact5: çæãããšããããšãçãããšããããšã¯ãã¿ã¡ãã¿ãLv.84äºä»¶ãšæããããšããããšäž¡æ¹ãšããçºçããããšããããšã«é²ããã | fact1: {B} fact2: {A} fact3: ¬{B} -> ({C} & {A}) fact4: {E} -> (¬{B} & {D}) fact5: ({A} & {B}) -> ¬{C} | [
"fact2 & fact1 -> int1: ã¿ã¡ãã¿ãLv.84äºä»¶ãšæããããšããããšãçãã; int1 & fact5 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis;"
] | çæãããšããããšãçãã | {C} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æããããšããããšãèµ·ãã fact2: ãã¿ã¡ãã¿ãLv.84äºä»¶ãèµ·ããããšããããšã¯åã§ãªã fact3: ããæããããšããããšã¯èµ·ããªããšãããçæãããšããããšããã³ã¿ã¡ãã¿ãLv.84äºä»¶ãçºçãã fact4: ããä»®ã«ããšãããšããããšãçããããšããããšã¯äºå®ãªãæããããšããããšã§ã¯ãªã確å®åºæ¥ãããšãçºçãã fact5: çæãããšããããšãçãããšããããšã¯ãã¿ã¡ãã¿ãLv.84äºä»¶ãšæããããšããããšäž¡æ¹ãšããçºçããããšããããšã«é²ããã ; $hypothesis$ = çæãããšããããšãçãã ; $proof$ = | fact2 & fact1 -> int1: ã¿ã¡ãã¿ãLv.84äºä»¶ãšæããããšããããšãçãã; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: {A} fact3: ¬{B} -> ({C} & {A}) fact4: {E} -> (¬{B} & {D}) fact5: ({A} & {B}) -> ¬{C} ; $hypothesis$ = {C} ; $proof$ = | fact2 & fact1 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ã·ãªã·ãLv.51ã¯å»æ¥ãããããŸãã«æãããããšããããšã¯ééã£ãŠãã | ¬({A}{a} & {B}{a}) | fact1: ãããã®ã·ã«ã·ãLv.24ãçèŸããªããšããããã®ã·ã«ã·ãLv.24ã¯é»Žèããšããããšã¯ãªããã©å°è±¡æ·±ã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯é»Žèããªããšãããšãå»æ¥ããããã®äžæãããããšããããšã¯åã§ãã fact3: ãã®ã·ãªã·ãLv.51ã¯å»æ¥ãã fact4: ãã®ã·ãªã·ãLv.51ã¯æããã fact5: ããããã¢ã³ã¹ã¿ãŒã¯å«åŠ¬æ·±ããããã«ããã fact6: ãã®ã¿ãã¿ã¡ã
Lv.44ãå«åŠ¬æ·±ãããŸãã¯çèŸããäž¡æ¹ã§ãããšããããã®ã·ã«ã·ãLv.24ã¯çèŸããªã | fact1: ¬{D}{b} -> (¬{C}{b} & {E}{b}) fact2: (x): ¬{C}x -> ¬({A}x & {B}x) fact3: {A}{a} fact4: {B}{a} fact5: (x): ({F}x & {G}x) fact6: ({F}{c} v {D}{c}) -> ¬{D}{b} | [
"fact3 -> int1: ãã®ã·ãªã·ãLv.51ã¯å»æ¥ãã; int1 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact4 -> hypothesis;"
] | ããã®ã·ãªã·ãLv.51ã¯å»æ¥ãããããŸãã«æãããããšããããšã¯ééã£ãŠãã | ¬({A}{a} & {B}{a}) | [
"fact9 -> int2: ããããã®ã·ãªã·ãLv.51ã¯é»Žèããªããšããã°ããå»æ¥ãããããŸãã«æãããããšããããšã¯çå®ã§ããããšããããšã¯åœã§ãã; fact8 -> int3: ãã®ã¿ãã¿ã¡ã
Lv.44ã¯å«åŠ¬æ·±ããå ããŠããã; int3 -> int4: ãã®ã¿ãã¿ã¡ã
Lv.44ã¯å«åŠ¬æ·±ã; int4 -> int5: ãã®ã¿ãã¿ã¡ã
Lv.44ã¯å«åŠ¬æ·±ããçèŸã; fact10 & int5 -> int6: ãã®ã·ã«ã·ãLv.24ã¯çèŸããªã; fact7 & int6 -> int7: ãã®ã·ã«ã·ãLv.24ã¯é»Žèããªãããã©ããã¯å°è±¡æ·±ã; int7 -> int8: ãšããã¢ã³ã¹ã¿ãŒã¯é»Žèããªããã©å°è±¡æ·±ã;"
] | 8 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã·ã«ã·ãLv.24ãçèŸããªããšããããã®ã·ã«ã·ãLv.24ã¯é»Žèããšããããšã¯ãªããã©å°è±¡æ·±ã fact2: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒã¯é»Žèããªããšãããšãå»æ¥ããããã®äžæãããããšããããšã¯åã§ãã fact3: ãã®ã·ãªã·ãLv.51ã¯å»æ¥ãã fact4: ãã®ã·ãªã·ãLv.51ã¯æããã fact5: ããããã¢ã³ã¹ã¿ãŒã¯å«åŠ¬æ·±ããããã«ããã fact6: ãã®ã¿ãã¿ã¡ã
Lv.44ãå«åŠ¬æ·±ãããŸãã¯çèŸããäž¡æ¹ã§ãããšããããã®ã·ã«ã·ãLv.24ã¯çèŸããªã ; $hypothesis$ = ããã®ã·ãªã·ãLv.51ã¯å»æ¥ãããããŸãã«æãããããšããããšã¯ééã£ãŠãã ; $proof$ = | fact3 -> int1: ãã®ã·ãªã·ãLv.51ã¯å»æ¥ãã; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D}{b} -> (¬{C}{b} & {E}{b}) fact2: (x): ¬{C}x -> ¬({A}x & {B}x) fact3: {A}{a} fact4: {B}{a} fact5: (x): ({F}x & {G}x) fact6: ({F}{c} v {D}{c}) -> ¬{D}{b} ; $hypothesis$ = ¬({A}{a} & {B}{a}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã埡åŒãåãäžããããšãçºçãããã·ã¡ãã·ã®Lv.75äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã | ¬({C} & {D}) | fact1: ã·ã¡ãã·ã®Lv.75äºä»¶ãçãã fact2: ç©åããšããããšãèµ·ãããèµ€ããšããããšãçãã fact3: ããä»®ã«ç©åããšããããšã¯çããªããªãã埡åŒãåãäžããããšãèµ·ãããã·ã¡ãã·ã®Lv.75äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã | fact1: {D} fact2: ({A} & {B}) fact3: ¬{A} -> ¬({C} & {D}) | [
"fact2 -> int1: èµ€ããšããããšãèµ·ãã;"
] | [
"fact2 -> int1: {B};"
] | ãã埡åŒãåãäžããããšãçºçãããã·ã¡ãã·ã®Lv.75äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã | ¬({C} & {D}) | [] | 6 | 3 | 3 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã·ã¡ãã·ã®Lv.75äºä»¶ãçãã fact2: ç©åããšããããšãèµ·ãããèµ€ããšããããšãçãã fact3: ããä»®ã«ç©åããšããããšã¯çããªããªãã埡åŒãåãäžããããšãèµ·ãããã·ã¡ãã·ã®Lv.75äºä»¶ãèµ·ããããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã埡åŒãåãäžããããšãçºçãããã·ã¡ãã·ã®Lv.75äºä»¶ãèµ·ããããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D} fact2: ({A} & {B}) fact3: ¬{A} -> ¬({C} & {D}) ; $hypothesis$ = ¬({C} & {D}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã«ããœãLv.31ã¯æ¢³ã蟌ã | {A}{a} | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¢³ã蟌ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äžä¿åãã | fact1: (x): {A}x fact2: (x): {CH}x | [
"fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¢³ã蟌ã; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¢³ã蟌ã fact2: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯äžä¿åãã ; $hypothesis$ = ãã®ãœã«ããœãLv.31ã¯æ¢³ã蟌ã ; $proof$ = | fact1 -> int1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æ¢³ã蟌ã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): {CH}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã¡ãã·ãLv.51ã¯æªãããªãããŸãã¯åãèŸããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã | ¬(¬{AA}{aa} v ¬{AB}{aa}) | fact1: ãã®ã·ã¡ãã·ãLv.51ãéæ»ããããšããããšã¯ãªããªã梱å
ããããããç²ã匷ã fact2: ãã®ã·ã¡ãã·ãLv.51ã¯æ¢±å
ããªã fact3: ãã®ã·ã¡ãã·ãLv.51ã¯åãèŸã fact4: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã梱å
ãããšããã°ããã¯æªãããšããããšã¯ãªããããã¯åãèŸããªã fact5: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯æ¢±å
ããªããšããããæªãããªããåãèŸããªãããŸãã¯äž¡æ¹ã ããšããããšã¯åã§ãã | fact1: ¬{C}{aa} -> ({A}{aa} & {B}{aa}) fact2: ¬{A}{aa} fact3: {AB}{aa} fact4: (x): {A}x -> (¬{AA}x v ¬{AB}x) fact5: (x): ¬{A}x -> ¬(¬{AA}x v ¬{AB}x) | [
"fact5 -> int1: ãã®ã·ã¡ãã·ãLv.51ã¯æ¢±å
ããªããšããããæªãããªãããããã¯ããã¯åãèŸããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} v ¬{AB}{aa}); int1 & fact2 -> hypothesis;"
] | ãã®ã·ã¡ãã·ãLv.51ã¯æªãããªãããããã¯ããã¯åãèŸããªã | (¬{AA}{aa} v ¬{AB}{aa}) | [
"fact6 -> int2: ãããããã®ã·ã¡ãã·ãLv.51ã¯æ¢±å
ããããšããããšã¯æãç«ã€ãšããã°ããã¯æªãããªãããããã¯åãèŸããªããã©ã¡ããã§ãã;"
] | 5 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã¡ãã·ãLv.51ãéæ»ããããšããããšã¯ãªããªã梱å
ããããããç²ã匷ã fact2: ãã®ã·ã¡ãã·ãLv.51ã¯æ¢±å
ããªã fact3: ãã®ã·ã¡ãã·ãLv.51ã¯åãèŸã fact4: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã梱å
ãããšããã°ããã¯æªãããšããããšã¯ãªããããã¯åãèŸããªã fact5: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯æ¢±å
ããªããšããããæªãããªããåãèŸããªãããŸãã¯äž¡æ¹ã ããšããããšã¯åã§ãã ; $hypothesis$ = ããã®ã·ã¡ãã·ãLv.51ã¯æªãããªãããŸãã¯åãèŸããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯æãç«ããªã ; $proof$ = | fact5 -> int1: ãã®ã·ã¡ãã·ãLv.51ã¯æ¢±å
ããªããšããããæªãããªãããããã¯ããã¯åãèŸããªãããšããããšã¯äºå®ãšç°ãªã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{C}{aa} -> ({A}{aa} & {B}{aa}) fact2: ¬{A}{aa} fact3: {AB}{aa} fact4: (x): {A}x -> (¬{AA}x v ¬{AB}x) fact5: (x): ¬{A}x -> ¬(¬{AA}x v ¬{AB}x) ; $hypothesis$ = ¬(¬{AA}{aa} v ¬{AB}{aa}) ; $proof$ = | fact5 -> int1: ¬{A}{aa} -> ¬(¬{AA}{aa} v ¬{AB}{aa}); int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ã¿ãã¿ãLv.25äºä»¶ãèµ·ãã | {C} | fact1: å°ãããšããããšãèµ·ãã fact2: ããããŽããŽã¡ã
Lv.3äºä»¶ãçºçãããšããã°ããŽããŽã¡ã
Lv.3äºä»¶ãèµ·ãããªãããŸãã¯ãŸããŸãLv.95äºä»¶ã¯èµ·ããªããäž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact3: ããä»®ã«é£ãããšããããšãèµ·ããã°ã也ãæããšããããšã¯çããªãããããã¯ãŸããŸã®Lv.39äºä»¶ã¯çããªãããšããããšã¯ééã£ãŠãã fact4: ãŽããŽã¡ã
Lv.3äºä»¶ã¯å°ãããšããããšã«ããçãã fact5: ä»®ã«ã也ãæããšããããšã¯çããªãããŸãã¯ãŸããŸã®Lv.39äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªããšãããããŸããŸãLv.95äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã | fact1: {A} fact2: {B} -> ¬(¬{B} v ¬{D}) fact3: {G} -> ¬(¬{E} v ¬{F}) fact4: {A} -> {B} fact5: ¬(¬{E} v ¬{F}) -> ¬{D} | [
"fact4 & fact1 -> int1: ãŽããŽã¡ã
Lv.3äºä»¶ãèµ·ãã; int1 & fact2 -> int2: ããŽããŽã¡ã
Lv.3äºä»¶ã¯èµ·ããªãããŸããŸãLv.95äºä»¶ã¯èµ·ãããªããã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªã;"
] | [
"fact4 & fact1 -> int1: {B}; int1 & fact2 -> int2: ¬(¬{B} v ¬{D});"
] | ã·ãªã·ãLv.69äºä»¶ãçãã | {DO} | [] | 7 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: å°ãããšããããšãèµ·ãã fact2: ããããŽããŽã¡ã
Lv.3äºä»¶ãçºçãããšããã°ããŽããŽã¡ã
Lv.3äºä»¶ãèµ·ãããªãããŸãã¯ãŸããŸãLv.95äºä»¶ã¯èµ·ããªããäž¡æ¹ãšãã ããšããããšã¯æãç«ããªã fact3: ããä»®ã«é£ãããšããããšãèµ·ããã°ã也ãæããšããããšã¯çããªãããããã¯ãŸããŸã®Lv.39äºä»¶ã¯çããªãããšããããšã¯ééã£ãŠãã fact4: ãŽããŽã¡ã
Lv.3äºä»¶ã¯å°ãããšããããšã«ããçãã fact5: ä»®ã«ã也ãæããšããããšã¯çããªãããŸãã¯ãŸããŸã®Lv.39äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªããšãããããŸããŸãLv.95äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ã ; $hypothesis$ = ã¿ãã¿ãLv.25äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: {B} -> ¬(¬{B} v ¬{D}) fact3: {G} -> ¬(¬{E} v ¬{F}) fact4: {A} -> {B} fact5: ¬(¬{E} v ¬{F}) -> ¬{D} ; $hypothesis$ = {C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã¡ããŽãLv.37ã¯å
責ããªãããã©æ
ãšããã | (¬{A}{b} & {C}{b}) | fact1: ãšããã¢ã³ã¹ã¿ãŒã¯äŸèšããªããšãããšãå
責ããªããããã¯æ
ãšãããããšããããšã¯äºå®ã§ãªã fact2: ä»®ã«ãã®ãŸããŸã«Lv.22ãå
責ãããšããããã®ãŽã¡ããŽãLv.37ã¯å
責ãããšããããšã¯ãªãäžæ¹ã§æ
ãšããã fact3: ãã®ãŸããŸã«Lv.22ã¯å
責ãã | fact1: (x): ¬{B}x -> ¬(¬{A}x & {C}x) fact2: {A}{a} -> (¬{A}{b} & {C}{b}) fact3: {A}{a} | [
"fact3 -> int1: ãã®ãŸããŸã«Lv.22ã¯å
責ãã; int1 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ããã®ãŽã¡ããŽãLv.37ã¯å
責ãããšããããšã¯ãªãäžæ¹ã§æ
ãšãããããšããããšã¯æãç«ããªã | ¬(¬{A}{b} & {C}{b}) | [
"fact4 -> int2: ããããã®ãŽã¡ããŽãLv.37ã¯äŸèšããªããšããã°ãå
責ããªããæ
ãšãããããšããããšã¯èª€ã£ãŠãã;"
] | 4 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãšããã¢ã³ã¹ã¿ãŒã¯äŸèšããªããšãããšãå
責ããªããããã¯æ
ãšãããããšããããšã¯äºå®ã§ãªã fact2: ä»®ã«ãã®ãŸããŸã«Lv.22ãå
責ãããšããããã®ãŽã¡ããŽãLv.37ã¯å
責ãããšããããšã¯ãªãäžæ¹ã§æ
ãšããã fact3: ãã®ãŸããŸã«Lv.22ã¯å
責ãã ; $hypothesis$ = ãã®ãŽã¡ããŽãLv.37ã¯å
責ããªãããã©æ
ãšããã ; $proof$ = | fact3 -> int1: ãã®ãŸããŸã«Lv.22ã¯å
責ãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{B}x -> ¬(¬{A}x & {C}x) fact2: {A}{a} -> (¬{A}{b} & {C}{b}) fact3: {A}{a} ; $hypothesis$ = (¬{A}{b} & {C}{b}) ; $proof$ = | fact3 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã«ã
ã·ã¡ãLv.78ã¯é°æ°èãããããã¯æã¿èŸŒã¿æããã©ã¡ããã§ããããšããããšã¯ééãã§ãã | ¬({C}{b} v {D}{b}) | fact1: é°æ°èãã¢ã³ã¹ã¿ãŒã¯ã©ãããŠã欲ãããªã fact2: ãã®ãœããœã«ã
Lv.37ã¯ã©ãããŠã欲ãããªããšãããããã®ãã«ããã¡ãLv.8ã¯æå³æ·±ãããã©æã¿èŸŒã¿æããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ããã®ã·ã«ã
ã·ã¡ãLv.78ã¯æå³æ·±ãããšããããšã¯æ£ãããªãããã¯é°æ°èã fact4: ããä»®ã«ãã®ãœããœã«ã
Lv.37ãã©ãããŠã欲ãããšããã°ãã®ã·ã«ã
ã·ã¡ãLv.78ã¯æå³æ·±ã | fact1: (x): {C}x -> ¬{A}x fact2: ¬{A}{a} -> ¬({B}{eb} & ¬{D}{eb}) fact3: {B}{b} -> {C}{b} fact4: {A}{a} -> {B}{b} | [] | [] | ãã®ãã«ããã¡ãLv.8ã¯æã¿èŸŒã¿æã | {D}{eb} | [
"fact5 -> int1: ä»®ã«ãã®ãœããœã«ã
Lv.37ãé°æ°èããšããã°ã©ãããŠã欲ãããªã;"
] | 5 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: é°æ°èãã¢ã³ã¹ã¿ãŒã¯ã©ãããŠã欲ãããªã fact2: ãã®ãœããœã«ã
Lv.37ã¯ã©ãããŠã欲ãããªããšãããããã®ãã«ããã¡ãLv.8ã¯æå³æ·±ãããã©æã¿èŸŒã¿æããšããããšã¯ãªãããšããããšã¯èª€ã£ãŠãã fact3: ããä»®ã«ããã®ã·ã«ã
ã·ã¡ãLv.78ã¯æå³æ·±ãããšããããšã¯æ£ãããªãããã¯é°æ°èã fact4: ããä»®ã«ãã®ãœããœã«ã
Lv.37ãã©ãããŠã欲ãããšããã°ãã®ã·ã«ã
ã·ã¡ãLv.78ã¯æå³æ·±ã ; $hypothesis$ = ããã®ã·ã«ã
ã·ã¡ãLv.78ã¯é°æ°èãããããã¯æã¿èŸŒã¿æããã©ã¡ããã§ããããšããããšã¯ééãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {C}x -> ¬{A}x fact2: ¬{A}{a} -> ¬({B}{eb} & ¬{D}{eb}) fact3: {B}{b} -> {C}{b} fact4: {A}{a} -> {B}{b} ; $hypothesis$ = ¬({C}{b} v {D}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã®ã·ãLv.93ã¯ç©åãŸãã | {D}{c} | fact1: ãã®ãŸããŸãLv.69ã¯èãããæŽã«é å®ã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èããªããé å®ãããšããããšã¯èª€ãã ãšããã°ç©åãŸãããªã fact3: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯é å®ãããã©ããã¯äžãæããªãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯é å®ãããªã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æµ®ããªããšããã°ãããã¯é å®ãããã€äžãæããªãããšããããšã¯ééãã fact5: ããããã®ã·ã¡ãã·ã«Lv.97ã¯æµ®ããšãããããã®ã·ã®ã·ãLv.93ã¯ç©åãŸããããšããããšã¯æ£ãã fact6: ä»®ã«ããã®ãŸããŸãLv.69ã¯æµ®ããæŽã«ãããããããšããããšã¯æãç«ããªããšãããããã¯æµ®ããªã fact7: ãã®ãŸããŸãLv.69ãé å®ããšããããã®ã·ã¡ãã·ã«Lv.97ã¯æµ®ã | fact1: ({A}{a} & {B}{a}) fact2: (x): ¬(¬{A}x & {B}x) -> ¬{D}x fact3: (x): ¬({B}x & ¬{E}x) -> ¬{B}x fact4: (x): ¬{C}x -> ¬({B}x & ¬{E}x) fact5: {C}{b} -> {D}{c} fact6: ¬({C}{a} & {G}{a}) -> ¬{C}{a} fact7: {B}{a} -> {C}{b} | [
"fact1 -> int1: ãã®ãŸããŸãLv.69ã¯é å®ã; int1 & fact7 -> int2: ããã®ã·ã¡ãã·ã«Lv.97ã¯æµ®ãããšããããšã¯ééãã§ãªã; int2 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact5 -> hypothesis;"
] | ãã®ã·ã®ã·ãLv.93ã¯ç©åãŸãããªã | ¬{D}{c} | [
"fact9 -> int3: ããä»®ã«ããã®ã·ã®ã·ãLv.93ã¯èããªããé å®ãããšããããšã¯èª€ãã ãšããã°ç©åãŸãããšããããšã¯ãªã; fact11 -> int4: ããããã®ãŸããŸãLv.69ã¯é å®ãããã©äžãæããšããããšã¯ãªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããšãããšããã¯é å®ãããªã; fact8 -> int5: ããã®ãŸããŸãLv.69ã¯æµ®ããªããšãããšããã®ãŸããŸãLv.69ã¯é å®ãããã©äžãæããªãããšããããšã¯èª€ã£ãŠããããšããããšã¯æãç«ã€;"
] | 6 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.69ã¯èãããæŽã«é å®ã fact2: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èããªããé å®ãããšããããšã¯èª€ãã ãšããã°ç©åãŸãããªã fact3: ããä»®ã«ãäœããã®ã¢ã³ã¹ã¿ãŒã¯é å®ãããã©ããã¯äžãæããªãããšããããšã¯äºå®ãšç°ãªããšããã°ããã¯é å®ãããªã fact4: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æµ®ããªããšããã°ãããã¯é å®ãããã€äžãæããªãããšããããšã¯ééãã fact5: ããããã®ã·ã¡ãã·ã«Lv.97ã¯æµ®ããšãããããã®ã·ã®ã·ãLv.93ã¯ç©åãŸããããšããããšã¯æ£ãã fact6: ä»®ã«ããã®ãŸããŸãLv.69ã¯æµ®ããæŽã«ãããããããšããããšã¯æãç«ããªããšãããããã¯æµ®ããªã fact7: ãã®ãŸããŸãLv.69ãé å®ããšããããã®ã·ã¡ãã·ã«Lv.97ã¯æµ®ã ; $hypothesis$ = ãã®ã·ã®ã·ãLv.93ã¯ç©åãŸãã ; $proof$ = | fact1 -> int1: ãã®ãŸããŸãLv.69ã¯é å®ã; int1 & fact7 -> int2: ããã®ã·ã¡ãã·ã«Lv.97ã¯æµ®ãããšããããšã¯ééãã§ãªã; int2 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: (x): ¬(¬{A}x & {B}x) -> ¬{D}x fact3: (x): ¬({B}x & ¬{E}x) -> ¬{B}x fact4: (x): ¬{C}x -> ¬({B}x & ¬{E}x) fact5: {C}{b} -> {D}{c} fact6: ¬({C}{a} & {G}{a}) -> ¬{C}{a} fact7: {B}{a} -> {C}{b} ; $hypothesis$ = {D}{c} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact7 -> int2: {C}{b}; int2 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ããªããLv.29ã¯æ¥œãããŠçŽ³å£«ããã | ({AA}{aa} & {AB}{aa}) | fact1: ãã®ããªããLv.29ã¯åç¡ããªã fact2: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯åç¡ããšããããšã¯ãªããšãããã楜ããããã®äžçŽ³å£«ãããããšããããšã¯èª€ã£ãŠãã fact3: ãããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãã©ãã¹ããããªããšããã°ãããã¯äŒããæããå ããŠçŽ³å£«ãããããšããããšã¯æãç«ããªãããšããããšã¯æ£ãã | fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact3: (x): ¬{F}x -> ¬({L}x & {AB}x) | [
"fact2 -> int1: ããããã®ããªããLv.29ã¯åç¡ããªããšãããããã®ããªããLv.29ã¯æ¥œãããŠããã«çŽ³å£«ãããããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & {AB}{aa}); int1 & fact1 -> hypothesis;"
] | ãããã®ããªããLv.29ã¯ãã©ãã¹ããããªããšãããšããã®ããªããLv.29ã¯äŒããæããŠçŽ³å£«ãããããšããããšã¯æãç«ããªã | ¬{F}{aa} -> ¬({L}{aa} & {AB}{aa}) | [
"fact4 -> hypothesis;"
] | 1 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ãã®ããªããLv.29ã¯åç¡ããªã fact2: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯åç¡ããšããããšã¯ãªããšãããã楜ããããã®äžçŽ³å£«ãããããšããããšã¯èª€ã£ãŠãã fact3: ãããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ãã©ãã¹ããããªããšããã°ãããã¯äŒããæããå ããŠçŽ³å£«ãããããšããããšã¯æãç«ããªãããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ããªããLv.29ã¯æ¥œãããŠçŽ³å£«ããã ; $proof$ = | fact2 -> int1: ããããã®ããªããLv.29ã¯åç¡ããªããšãããããã®ããªããLv.29ã¯æ¥œãããŠããã«çŽ³å£«ãããããšããããšã¯æãç«ããªã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{aa} fact2: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact3: (x): ¬{F}x -> ¬({L}x & {AB}x) ; $hypothesis$ = ({AA}{aa} & {AB}{aa}) ; $proof$ = | fact2 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & {AB}{aa}); int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãã¡ãããLv.60ã¯åŸ¡åãç¡ããªãããã©åºå
¥ããæãããšããããšã¯ééãã | ¬(¬{C}{b} & {D}{b}) | fact1: ãã®ãã¡ãããLv.60ã¯åŸ¡åãç¡ããªããããã¯ç®æã fact2: ãã®ãŽããŽãLv.1ã¯è²ã£ãœã fact3: ããã®ãŽããŽãLv.1ã¯è²ã£ãœããªãããšããããšã¯çå®ãªãã°åŸ¡åãç¡ããªã fact4: ããä»®ã«ãã®ãã¡ãããLv.60ãæªç·ŽããŸãããªããªãã°ããã¯åŸ¡åãç¡ããªããŠæŽã«åºå
¥ããæã fact5: ããä»®ã«ããã®ãã¡ãããLv.60ã¯æ³³ããªãäžæ¹ã§å°±æ¥åºæ¥ãããšããããšã¯æ¬åœã§ãªããªãããã¯æªç·ŽããŸãããªã fact6: ããããã®ãã¡ãããLv.60ã¯æªç·ŽããŸãããšãããããã®ãŽããŽãLv.1ã¯å°±æ¥åºæ¥ããšããããšã¯ãªããã©è²ã£ãœãããšããããšã¯èª€ãã§ãã fact7: ãããã®ãŽããŽãLv.1ã¯è²ã£ãœããšããã°ããã®ãã¡ãããLv.60ã¯æ³³ããªããããã¯å°±æ¥åºæ¥ãããšããããšã¯åã§ãã | fact1: (¬{C}{b} & {CE}{b}) fact2: {A}{a} fact3: ¬{A}{a} -> ¬{C}{a} fact4: ¬{B}{b} -> (¬{C}{b} & {D}{b}) fact5: ¬(¬{AA}{b} & {AB}{b}) -> ¬{B}{b} fact6: {B}{b} -> ¬(¬{AB}{a} & {A}{a}) fact7: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) | [
"fact7 & fact2 -> int1: ããã®ãã¡ãããLv.60ã¯æ³³ããšããããšã¯ãªãäžæ¹ã§ããã¯å°±æ¥åºæ¥ãããšããããšã¯æ¬åœã§ãªã; int1 & fact5 -> int2: ãã®ãã¡ãããLv.60ã¯æªç·ŽããŸãããªã; int2 & fact4 -> hypothesis;"
] | [
"fact7 & fact2 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact5 -> int2: ¬{B}{b}; int2 & fact4 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãã¡ãããLv.60ã¯åŸ¡åãç¡ããªããããã¯ç®æã fact2: ãã®ãŽããŽãLv.1ã¯è²ã£ãœã fact3: ããã®ãŽããŽãLv.1ã¯è²ã£ãœããªãããšããããšã¯çå®ãªãã°åŸ¡åãç¡ããªã fact4: ããä»®ã«ãã®ãã¡ãããLv.60ãæªç·ŽããŸãããªããªãã°ããã¯åŸ¡åãç¡ããªããŠæŽã«åºå
¥ããæã fact5: ããä»®ã«ããã®ãã¡ãããLv.60ã¯æ³³ããªãäžæ¹ã§å°±æ¥åºæ¥ãããšããããšã¯æ¬åœã§ãªããªãããã¯æªç·ŽããŸãããªã fact6: ããããã®ãã¡ãããLv.60ã¯æªç·ŽããŸãããšãããããã®ãŽããŽãLv.1ã¯å°±æ¥åºæ¥ããšããããšã¯ãªããã©è²ã£ãœãããšããããšã¯èª€ãã§ãã fact7: ãããã®ãŽããŽãLv.1ã¯è²ã£ãœããšããã°ããã®ãã¡ãããLv.60ã¯æ³³ããªããããã¯å°±æ¥åºæ¥ãããšããããšã¯åã§ãã ; $hypothesis$ = ããã®ãã¡ãããLv.60ã¯åŸ¡åãç¡ããªãããã©åºå
¥ããæãããšããããšã¯ééãã ; $proof$ = | fact7 & fact2 -> int1: ããã®ãã¡ãããLv.60ã¯æ³³ããšããããšã¯ãªãäžæ¹ã§ããã¯å°±æ¥åºæ¥ãããšããããšã¯æ¬åœã§ãªã; int1 & fact5 -> int2: ãã®ãã¡ãããLv.60ã¯æªç·ŽããŸãããªã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (¬{C}{b} & {CE}{b}) fact2: {A}{a} fact3: ¬{A}{a} -> ¬{C}{a} fact4: ¬{B}{b} -> (¬{C}{b} & {D}{b}) fact5: ¬(¬{AA}{b} & {AB}{b}) -> ¬{B}{b} fact6: {B}{b} -> ¬(¬{AB}{a} & {A}{a}) fact7: {A}{a} -> ¬(¬{AA}{b} & {AB}{b}) ; $hypothesis$ = ¬(¬{C}{b} & {D}{b}) ; $proof$ = | fact7 & fact2 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact5 -> int2: ¬{B}{b}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | 倱ããããšã¯èµ·ããªã | ¬{C} | fact1: ã¿ã«ã
ã¿ãLv.73äºä»¶ãèµ·ãããšããããšã¯ã倱ããããšã¯èµ·ããªãããšããããšãé»ã fact2: 埡å¬ãããšã¯ãã¿ã«ã
ã¿ãLv.73äºä»¶ã¯çºçããªãããšããããšãé»æ¢ãã fact3: ãœããœã¡ã
Lv.48äºä»¶ã¯ãŽã®ãŽãªLv.71äºä»¶ã®åå ãšãªã fact4: ä»®ã«ããã«ã
ãã¡ãLv.63äºä»¶ããã³ãœã«ããœãLv.39äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯ééãã ãšãããšå€±ããããšã¯èµ·ãããªã | fact1: {B} -> {C} fact2: {A} -> {B} fact3: {II} -> {CJ} fact4: ¬({E} & {D}) -> ¬{C} | [] | [] | æããšããããšãèµ·ãã | {DC} | [] | 6 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ã¿ã«ã
ã¿ãLv.73äºä»¶ãèµ·ãããšããããšã¯ã倱ããããšã¯èµ·ããªãããšããããšãé»ã fact2: 埡å¬ãããšã¯ãã¿ã«ã
ã¿ãLv.73äºä»¶ã¯çºçããªãããšããããšãé»æ¢ãã fact3: ãœããœã¡ã
Lv.48äºä»¶ã¯ãŽã®ãŽãªLv.71äºä»¶ã®åå ãšãªã fact4: ä»®ã«ããã«ã
ãã¡ãLv.63äºä»¶ããã³ãœã«ããœãLv.39äºä»¶äž¡æ¹ãèµ·ããããšããããšã¯ééãã ãšãããšå€±ããããšã¯èµ·ãããªã ; $hypothesis$ = 倱ããããšã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B} -> {C} fact2: {A} -> {B} fact3: {II} -> {CJ} fact4: ¬({E} & {D}) -> ¬{C} ; $hypothesis$ = ¬{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ã«ãLv.51ã¯äœã | {E}{c} | fact1: æ
ããªãã¢ã³ã¹ã¿ãŒã¯äœãäžæ¹ã§æ¥èŸããªã fact2: ããããã®ãŸã«ãŸãLv.46ã¯æ¥èŸãããšããããšã¯æãç«ã€ãšãããšãã®ã·ãã·ã«ãLv.51ã¯ç²é«ã fact3: ããããã®ãŸã«ãŸãLv.46ã¯æ
ããªãããããã¯äœããªãç²é«ããªã fact4: ããããã®ã·ãã·ã«ãLv.51ã¯ç²é«ããå ããšãããããã¯äœããªã fact5: ããä»®ã«ãã®ã·ãã·ã«ãLv.51ãæ¥èŸããšãããšãã®ãŸã«ãŸãLv.46ã¯äœã fact6: ãããã®ãŸã«ãŸãLv.46ãæ
ããªããªãã°ãã®ã·ãã·ã«ãLv.51ã¯ç²é«ã fact7: ãã®ãŸã«ãŸãLv.46ã¯æ¥èŸãããããã¯æ
ããªãããŸãã¯äž¡æ¹ãšãã | fact1: (x): {B}x -> ({E}x & ¬{A}x) fact2: {A}{a} -> {C}{c} fact3: ({B}{a} v {E}{a}) -> ¬{C}{a} fact4: ({C}{c} v {D}{c}) -> ¬{E}{c} fact5: {A}{c} -> {E}{a} fact6: {B}{a} -> {C}{c} fact7: ({A}{a} v {B}{a}) | [
"fact7 & fact2 & fact6 -> int1: ããã®ã·ãã·ã«ãLv.51ã¯ç²é«ãããšããããšã¯çå®ã§ãã; int1 -> int2: ãã®ã·ãã·ã«ãLv.51ã¯ç²é«ãããŸãã¯å ãããããã¯äž¡æ¹ã ; int2 & fact4 -> hypothesis;"
] | [
"fact7 & fact2 & fact6 -> int1: {C}{c}; int1 -> int2: ({C}{c} v {D}{c}); int2 & fact4 -> hypothesis;"
] | ãã®ã·ãã·ã«ãLv.51ã¯äœã | {E}{c} | [
"fact8 -> int3: ãããã®ã·ãã·ã«ãLv.51ãæ
ããªããšããã°ããã¯äœããããŸãã«ããã¯æ¥èŸããªã;"
] | 5 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æ
ããªãã¢ã³ã¹ã¿ãŒã¯äœãäžæ¹ã§æ¥èŸããªã fact2: ããããã®ãŸã«ãŸãLv.46ã¯æ¥èŸãããšããããšã¯æãç«ã€ãšãããšãã®ã·ãã·ã«ãLv.51ã¯ç²é«ã fact3: ããããã®ãŸã«ãŸãLv.46ã¯æ
ããªãããããã¯äœããªãç²é«ããªã fact4: ããããã®ã·ãã·ã«ãLv.51ã¯ç²é«ããå ããšãããããã¯äœããªã fact5: ããä»®ã«ãã®ã·ãã·ã«ãLv.51ãæ¥èŸããšãããšãã®ãŸã«ãŸãLv.46ã¯äœã fact6: ãããã®ãŸã«ãŸãLv.46ãæ
ããªããªãã°ãã®ã·ãã·ã«ãLv.51ã¯ç²é«ã fact7: ãã®ãŸã«ãŸãLv.46ã¯æ¥èŸãããããã¯æ
ããªãããŸãã¯äž¡æ¹ãšãã ; $hypothesis$ = ãã®ã·ãã·ã«ãLv.51ã¯äœã ; $proof$ = | fact7 & fact2 & fact6 -> int1: ããã®ã·ãã·ã«ãLv.51ã¯ç²é«ãããšããããšã¯çå®ã§ãã; int1 -> int2: ãã®ã·ãã·ã«ãLv.51ã¯ç²é«ãããŸãã¯å ãããããã¯äž¡æ¹ã ; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {B}x -> ({E}x & ¬{A}x) fact2: {A}{a} -> {C}{c} fact3: ({B}{a} v {E}{a}) -> ¬{C}{a} fact4: ({C}{c} v {D}{c}) -> ¬{E}{c} fact5: {A}{c} -> {E}{a} fact6: {B}{a} -> {C}{c} fact7: ({A}{a} v {B}{a}) ; $hypothesis$ = {E}{c} ; $proof$ = | fact7 & fact2 & fact6 -> int1: {C}{c}; int1 -> int2: ({C}{c} v {D}{c}); int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ãããLv.12ã¯æ¥ã蟌ã | {E}{c} | fact1: ãã®ããªãã«ãLv.23ã倧人ããšããã°ãã®ãã«ãããLv.12ã¯æ¥ã蟌ãŸãªã fact2: ãã®ããªãã«ãLv.23ã倧人ããšãããšãã®ãã«ãããLv.12ã¯é
èã fact3: ããä»®ã«ãã®ããªãã«ãLv.23ã¯ç©å¯ãããšããã°ããã®ãã«ãããLv.12ã¯é
èãããšããããšã¯æ£ãã fact4: ãã®ããªãã«ãLv.23ã¯èã£ãºãããšãããããã®ããªãã«ãLv.23ã¯å€§äººãããšããããšã¯çå®ã§ãã fact5: ä»®ã«ãã®ãã«ãããLv.12ãé
èããªããã®ãã«ãããLv.12ã¯èã£ãºãã fact6: ãã®ããªãã«ãLv.23ã¯å€§äººãããããã¯ç©å¯ãããäž¡æ¹ã§ãã | fact1: {A}{a} -> ¬{E}{c} fact2: {A}{a} -> {C}{c} fact3: {B}{a} -> {C}{c} fact4: {D}{a} -> {A}{a} fact5: {C}{c} -> {D}{c} fact6: ({A}{a} v {B}{a}) | [
"fact6 & fact2 & fact3 -> int1: ãã®ãã«ãããLv.12ã¯é
èã; int1 & fact5 -> int2: ããã®ãã«ãããLv.12ã¯èã£ãºããããšããããšã¯çå®ã§ãã;"
] | [
"fact6 & fact2 & fact3 -> int1: {C}{c}; int1 & fact5 -> int2: {D}{c};"
] | ãã®ãã«ãããLv.12ã¯æ¥ã蟌ããšããããšã¯ãªã | ¬{E}{c} | [] | 5 | 3 | 3 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ããªãã«ãLv.23ã倧人ããšããã°ãã®ãã«ãããLv.12ã¯æ¥ã蟌ãŸãªã fact2: ãã®ããªãã«ãLv.23ã倧人ããšãããšãã®ãã«ãããLv.12ã¯é
èã fact3: ããä»®ã«ãã®ããªãã«ãLv.23ã¯ç©å¯ãããšããã°ããã®ãã«ãããLv.12ã¯é
èãããšããããšã¯æ£ãã fact4: ãã®ããªãã«ãLv.23ã¯èã£ãºãããšãããããã®ããªãã«ãLv.23ã¯å€§äººãããšããããšã¯çå®ã§ãã fact5: ä»®ã«ãã®ãã«ãããLv.12ãé
èããªããã®ãã«ãããLv.12ã¯èã£ãºãã fact6: ãã®ããªãã«ãLv.23ã¯å€§äººãããããã¯ç©å¯ãããäž¡æ¹ã§ãã ; $hypothesis$ = ãã®ãã«ãããLv.12ã¯æ¥ã蟌ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ¬{E}{c} fact2: {A}{a} -> {C}{c} fact3: {B}{a} -> {C}{c} fact4: {D}{a} -> {A}{a} fact5: {C}{c} -> {D}{c} fact6: ({A}{a} v {B}{a}) ; $hypothesis$ = {E}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽã«ããŽãLv.80ã¯å°ãªã | {D}{b} | fact1: ãã®ã·ã«ã·ã«ã
Lv.56ã¯åã£ãœã fact2: ãã®ã·ã«ã·ã«ã
Lv.56ã¯äž¡æãã fact3: åã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ç²Ÿé¬ããããã®äžå°ãªã fact4: ããã®ã·ã«ã·ã«ã
Lv.56ã¯ç²Ÿé¬ãããããã¯åã£ãœãããšããããšã¯æãç«ã€ fact5: ä»®ã«ãã®ã·ã«ã·ã«ã
Lv.56ãæ
ãæ·±ãäžæ¹ã§æ¥äŒžããªããšããããã®ãŽã«ããŽãLv.80ã¯æ
ãæ·±ããªã fact6: ããããã®ã·ã«ã·ã«ã
Lv.56ã粟é¬ããããã®äžãããäž¡æãããªããã®ãŽã«ããŽãLv.80ã¯å°ãªããªã fact7: ããä»®ã«ãã®ãŽã«ããŽãLv.80ãæ
ãæ·±ããªããšããã°ãã®ãŽã«ããŽãLv.80ã¯äžç¥èŸããŠäž¡æãã | fact1: {B}{a} fact2: {C}{a} fact3: (x): ¬{B}x -> ({A}x & {D}x) fact4: ({A}{a} & {B}{a}) fact5: ({E}{a} & ¬{G}{a}) -> ¬{E}{b} fact6: ({A}{a} & {C}{a}) -> ¬{D}{b} fact7: ¬{E}{b} -> ({HR}{b} & {C}{b}) | [
"fact4 -> int1: ããã®ã·ã«ã·ã«ã
Lv.56ã¯ç²Ÿé¬ããããšããããšã¯æ¬åœã ; int1 & fact2 -> int2: ãã®ã·ã«ã·ã«ã
Lv.56ã¯ç²Ÿé¬ãããæŽã«äž¡æãã; int2 & fact6 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact2 -> int2: ({A}{a} & {C}{a}); int2 & fact6 -> hypothesis;"
] | ãã®ãŽã«ããŽãLv.80ã¯äžç¥èŸããŠæŽã«æµ
ãŸãã | ({HR}{b} & {GJ}{b}) | [] | 4 | 3 | 3 | 3 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã·ã«ã
Lv.56ã¯åã£ãœã fact2: ãã®ã·ã«ã·ã«ã
Lv.56ã¯äž¡æãã fact3: åã£ãœããªãã¢ã³ã¹ã¿ãŒã¯ç²Ÿé¬ããããã®äžå°ãªã fact4: ããã®ã·ã«ã·ã«ã
Lv.56ã¯ç²Ÿé¬ãããããã¯åã£ãœãããšããããšã¯æãç«ã€ fact5: ä»®ã«ãã®ã·ã«ã·ã«ã
Lv.56ãæ
ãæ·±ãäžæ¹ã§æ¥äŒžããªããšããããã®ãŽã«ããŽãLv.80ã¯æ
ãæ·±ããªã fact6: ããããã®ã·ã«ã·ã«ã
Lv.56ã粟é¬ããããã®äžãããäž¡æãããªããã®ãŽã«ããŽãLv.80ã¯å°ãªããªã fact7: ããä»®ã«ãã®ãŽã«ããŽãLv.80ãæ
ãæ·±ããªããšããã°ãã®ãŽã«ããŽãLv.80ã¯äžç¥èŸããŠäž¡æãã ; $hypothesis$ = ãã®ãŽã«ããŽãLv.80ã¯å°ãªã ; $proof$ = | fact4 -> int1: ããã®ã·ã«ã·ã«ã
Lv.56ã¯ç²Ÿé¬ããããšããããšã¯æ¬åœã ; int1 & fact2 -> int2: ãã®ã·ã«ã·ã«ã
Lv.56ã¯ç²Ÿé¬ãããæŽã«äž¡æãã; int2 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} fact2: {C}{a} fact3: (x): ¬{B}x -> ({A}x & {D}x) fact4: ({A}{a} & {B}{a}) fact5: ({E}{a} & ¬{G}{a}) -> ¬{E}{b} fact6: ({A}{a} & {C}{a}) -> ¬{D}{b} fact7: ¬{E}{b} -> ({HR}{b} & {C}{b}) ; $hypothesis$ = {D}{b} ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact2 -> int2: ({A}{a} & {C}{a}); int2 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã«ããã¡ãLv.87ã¯éŠ¬é¹¿ããããªã | ¬{D}{b} | fact1: ãã®ãã«ããã¡ãLv.87ãç±ãæããŠéŠ¬é¹¿ããããªããã®ã·ãã·ã«ã
Lv.38ã¯çã ããªã fact2: ãã®ã·ãã·ã«ã
Lv.38ã¯çã ã fact3: ããããã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæããªããŠããã«çããšããããšã¯ãªãããšããããšã¯èª€ãã§ãããšããã°ãã®ãã«ããã¡ãLv.87ã¯çã ã fact4: ãã®ã·ãã·ã«ã
Lv.38ã¯çã fact5: ä»®ã«ãã®ã·ãã·ã«ã
Lv.38ãçã ããšãããšãã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæã fact6: ããä»®ã«ãã®ã·ãã·ã«ã
Lv.38ãç±ãæããããã«çããªããã®ãã«ããã¡ãLv.87ã¯éŠ¬é¹¿ããããšããããšã¯ãªã fact7: ãã®ãã«ããã¡ãLv.87ã¯çã ã | fact1: ({B}{b} & {D}{b}) -> ¬{A}{a} fact2: {A}{a} fact3: ¬(¬{B}{a} & ¬{C}{a}) -> {A}{b} fact4: {C}{a} fact5: {A}{a} -> {B}{a} fact6: ({B}{a} & {C}{a}) -> ¬{D}{b} fact7: {A}{b} | [
"fact5 & fact2 -> int1: ãã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæã; int1 & fact4 -> int2: ãã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæããŠããã¯çã; int2 & fact6 -> hypothesis;"
] | [
"fact5 & fact2 -> int1: {B}{a}; int1 & fact4 -> int2: ({B}{a} & {C}{a}); int2 & fact6 -> hypothesis;"
] | ãã®ãã«ããã¡ãLv.87ã¯éŠ¬é¹¿ããã | {D}{b} | [] | 5 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ãã«ããã¡ãLv.87ãç±ãæããŠéŠ¬é¹¿ããããªããã®ã·ãã·ã«ã
Lv.38ã¯çã ããªã fact2: ãã®ã·ãã·ã«ã
Lv.38ã¯çã ã fact3: ããããã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæããªããŠããã«çããšããããšã¯ãªãããšããããšã¯èª€ãã§ãããšããã°ãã®ãã«ããã¡ãLv.87ã¯çã ã fact4: ãã®ã·ãã·ã«ã
Lv.38ã¯çã fact5: ä»®ã«ãã®ã·ãã·ã«ã
Lv.38ãçã ããšãããšãã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæã fact6: ããä»®ã«ãã®ã·ãã·ã«ã
Lv.38ãç±ãæããããã«çããªããã®ãã«ããã¡ãLv.87ã¯éŠ¬é¹¿ããããšããããšã¯ãªã fact7: ãã®ãã«ããã¡ãLv.87ã¯çã ã ; $hypothesis$ = ãã®ãã«ããã¡ãLv.87ã¯éŠ¬é¹¿ããããªã ; $proof$ = | fact5 & fact2 -> int1: ãã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæã; int1 & fact4 -> int2: ãã®ã·ãã·ã«ã
Lv.38ã¯ç±ãæããŠããã¯çã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ({B}{b} & {D}{b}) -> ¬{A}{a} fact2: {A}{a} fact3: ¬(¬{B}{a} & ¬{C}{a}) -> {A}{b} fact4: {C}{a} fact5: {A}{a} -> {B}{a} fact6: ({B}{a} & {C}{a}) -> ¬{D}{b} fact7: {A}{b} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact5 & fact2 -> int1: {B}{a}; int1 & fact4 -> int2: ({B}{a} & {C}{a}); int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããã®ãããã«ãLv.58ã¯çæž©ããã©ããã¯æ·ã¿ç¡ããªãããšããããšã¯æãç«ããªã | ¬({D}{c} & ¬{E}{c}) | fact1: ãã®ãœããœãLv.7ã¯éºã
ãããå ããŠè¢«åŒŸãã fact2: ãã®ãœããœã«ãLv.65ã¯çæž©ããªã fact3: ããããã®ãœããœãLv.7ãéºã
ãããšããããã®ãŸã¡ããŸãLv.53ã¯æºãããªã fact4: ä»®ã«ãã®ãŸã¡ããŸãLv.53ã¯æºãããªããšãããããã®ãããã«ãLv.58ã¯çæž©ããæ·ã¿ç¡ããªãããšããããšã¯æ¬åœã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éºã
ãããªããªãã°ãããã¯çæž©ãäžæ¹ã§æ·ã¿ç¡ããªãããšããããšã¯äºå®ãšç°ãªã | fact1: ({A}{a} & {B}{a}) fact2: ¬{D}{ip} fact3: {A}{a} -> {C}{b} fact4: {C}{b} -> ({D}{c} & ¬{E}{c}) fact5: (x): ¬{A}x -> ¬({D}x & ¬{E}x) | [
"fact1 -> int1: ãã®ãœããœãLv.7ã¯éºã
ãã; int1 & fact3 -> int2: ãã®ãŸã¡ããŸãLv.53ã¯æºãããªã; int2 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact4 -> hypothesis;"
] | ããã®ãããã«ãLv.58ã¯çæž©ããã©ããã¯æ·ã¿ç¡ããªãããšããããšã¯æãç«ããªã | ¬({D}{c} & ¬{E}{c}) | [
"fact6 -> int3: ãä»®ã«ãã®ãããã«ãLv.58ã¯éºã
ãããªããšãããšããã®ãããã«ãLv.58ã¯çæž©ãããã©æ·ã¿ç¡ããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªãããšããããšã¯æ¬åœã ;"
] | 5 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãœããœãLv.7ã¯éºã
ãããå ããŠè¢«åŒŸãã fact2: ãã®ãœããœã«ãLv.65ã¯çæž©ããªã fact3: ããããã®ãœããœãLv.7ãéºã
ãããšããããã®ãŸã¡ããŸãLv.53ã¯æºãããªã fact4: ä»®ã«ãã®ãŸã¡ããŸãLv.53ã¯æºãããªããšãããããã®ãããã«ãLv.58ã¯çæž©ããæ·ã¿ç¡ããªãããšããããšã¯æ¬åœã fact5: ããä»®ã«ãªãããã®ã¢ã³ã¹ã¿ãŒã¯éºã
ãããªããªãã°ãããã¯çæž©ãäžæ¹ã§æ·ã¿ç¡ããªãããšããããšã¯äºå®ãšç°ãªã ; $hypothesis$ = ããã®ãããã«ãLv.58ã¯çæž©ããã©ããã¯æ·ã¿ç¡ããªãããšããããšã¯æãç«ããªã ; $proof$ = | fact1 -> int1: ãã®ãœããœãLv.7ã¯éºã
ãã; int1 & fact3 -> int2: ãã®ãŸã¡ããŸãLv.53ã¯æºãããªã; int2 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: ¬{D}{ip} fact3: {A}{a} -> {C}{b} fact4: {C}{b} -> ({D}{c} & ¬{E}{c}) fact5: (x): ¬{A}x -> ¬({D}x & ¬{E}x) ; $hypothesis$ = ¬({D}{c} & ¬{E}{c}) ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact3 -> int2: {C}{b}; int2 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | æŒãä»ãããŸãããšããããšãçºçãããæŽã«é·ãããããšããããšãçãã | ({C} & {D}) | fact1: å¿«ããšããããšã¯ã¢ã¡ãªã«ã£ãœããšããããšã«åŒãèµ·ãããã fact2: å¿«ããšããããšã¯ãæŒãä»ãããŸãããšããããšã¯çããªãããšããããšãé²ã fact3: ã¢ã¡ãªã«ã£ãœããšããããšãçãã fact4: ãæ ¹æ·±ããšããããšãèµ·ãããç¶ç¶ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ã決æããããšã¯èµ·ãããªãããšããããšãåå ã§ãã fact5: ã¢ã¡ãªã«ã£ãœããšããããšã¯èµ·ãããªããšããããæŒãä»ãããŸãããšããããšãèµ·ãããããŸãã«é·ãããããšããããšãçºçããããšããããšã¯æãç«ããªã fact6: é·ãããããšããããšãçãã | fact1: {A} -> {B} fact2: {B} -> {C} fact3: {A} fact4: ¬{G} -> ({F} & ¬{E}) fact5: ¬{A} -> ¬({C} & {D}) fact6: {D} | [
"fact1 & fact3 -> int1: å¿«ããšããããšãçºçãã; int1 & fact2 -> int2: ãæŒãä»ãããŸãããšããããšãçºçããããšããããšã¯åœã§ãªã; int2 & fact6 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}; int1 & fact2 -> int2: {C}; int2 & fact6 -> hypothesis;"
] | ãæŒãä»ãããŸãããšããããšãšé·ãããããšããããšäž¡æ¹ãçºçããããšããããšã¯åœã | ¬({C} & {D}) | [] | 7 | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: å¿«ããšããããšã¯ã¢ã¡ãªã«ã£ãœããšããããšã«åŒãèµ·ãããã fact2: å¿«ããšããããšã¯ãæŒãä»ãããŸãããšããããšã¯çããªãããšããããšãé²ã fact3: ã¢ã¡ãªã«ã£ãœããšããããšãçãã fact4: ãæ ¹æ·±ããšããããšãèµ·ãããç¶ç¶ãé£ããšããããšã¯èµ·ãããªãããšããããšã¯ã決æããããšã¯èµ·ãããªãããšããããšãåå ã§ãã fact5: ã¢ã¡ãªã«ã£ãœããšããããšã¯èµ·ãããªããšããããæŒãä»ãããŸãããšããããšãèµ·ãããããŸãã«é·ãããããšããããšãçºçããããšããããšã¯æãç«ããªã fact6: é·ãããããšããããšãçãã ; $hypothesis$ = æŒãä»ãããŸãããšããããšãçºçãããæŽã«é·ãããããšããããšãçãã ; $proof$ = | fact1 & fact3 -> int1: å¿«ããšããããšãçºçãã; int1 & fact2 -> int2: ãæŒãä»ãããŸãããšããããšãçºçããããšããããšã¯åœã§ãªã; int2 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: {B} -> {C} fact3: {A} fact4: ¬{G} -> ({F} & ¬{E}) fact5: ¬{A} -> ¬({C} & {D}) fact6: {D} ; $hypothesis$ = ({C} & {D}) ; $proof$ = | fact1 & fact3 -> int1: {B}; int1 & fact2 -> int2: {C}; int2 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããŸãªãŸãLv.33äºä»¶ãçºçããããšããããšã¯äºå®ã | {D} | fact1: ãŸã«ãŸãLv.47äºä»¶ãèµ·ãããã·ãã·ã«ãLv.42äºä»¶ãçºçãã fact2: åãæããšããããšã¯ãŸã«ãŸãLv.47äºä»¶ã«ãããããã fact3: ç®èã£ãœããšããããšãçãã fact4: åãæããšããããšã¯ãŸãªãŸãLv.33äºä»¶ãçºçããã fact5: ã·ãã·ã«ãLv.42äºä»¶ãçºçãã | fact1: ({A} & {B}) fact2: {A} -> {C} fact3: {HE} fact4: {C} -> {D} fact5: {B} | [
"fact1 -> int1: ããŸã«ãŸãLv.47äºä»¶ãçºçããããšããããšã¯æãç«ã€; int1 & fact2 -> int2: åãæããšããããšãèµ·ãã; int2 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact2 -> int2: {C}; int2 & fact4 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãŸã«ãŸãLv.47äºä»¶ãèµ·ãããã·ãã·ã«ãLv.42äºä»¶ãçºçãã fact2: åãæããšããããšã¯ãŸã«ãŸãLv.47äºä»¶ã«ãããããã fact3: ç®èã£ãœããšããããšãçãã fact4: åãæããšããããšã¯ãŸãªãŸãLv.33äºä»¶ãçºçããã fact5: ã·ãã·ã«ãLv.42äºä»¶ãçºçãã ; $hypothesis$ = ããŸãªãŸãLv.33äºä»¶ãçºçããããšããããšã¯äºå®ã ; $proof$ = | fact1 -> int1: ããŸã«ãŸãLv.47äºä»¶ãçºçããããšããããšã¯æãç«ã€; int1 & fact2 -> int2: åãæããšããããšãèµ·ãã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {A} -> {C} fact3: {HE} fact4: {C} -> {D} fact5: {B} ; $hypothesis$ = {D} ; $proof$ = | fact1 -> int1: {A}; int1 & fact2 -> int2: {C}; int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ããããšããããšã¯èµ·ããªã | ¬{D} | fact1: ãŽããŽã¡ãLv.13äºä»¶ãèµ·ãã fact2: èšå®ãçºããããšãçãã fact3: èšå®ãçºããããšãçºçãããããã«æããããšããããšãèµ·ãã fact4: ããããšããããšã¯èµ·ãããªããšããããšã¯ããŽããŽã¡ãLv.13äºä»¶ãçºçãããæŽã«æããããšããããšãèµ·ããããšããããšã«èªçºããã | fact1: {C} fact2: {A} fact3: ({A} & {B}) fact4: ({C} & {B}) -> ¬{D} | [
"fact3 -> int1: æããããšããããšãçºçãã; int1 & fact1 -> int2: ãŽããŽã¡ãLv.13äºä»¶ããã³æããããšããããšã©ã¡ãããçºçãã; int2 & fact4 -> hypothesis;"
] | [
"fact3 -> int1: {B}; int1 & fact1 -> int2: ({C} & {B}); int2 & fact4 -> hypothesis;"
] | null | null | [] | null | 3 | 3 | 3 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãŽããŽã¡ãLv.13äºä»¶ãèµ·ãã fact2: èšå®ãçºããããšãçãã fact3: èšå®ãçºããããšãçºçãããããã«æããããšããããšãèµ·ãã fact4: ããããšããããšã¯èµ·ãããªããšããããšã¯ããŽããŽã¡ãLv.13äºä»¶ãçºçãããæŽã«æããããšããããšãèµ·ããããšããããšã«èªçºããã ; $hypothesis$ = ããããšããããšã¯èµ·ããªã ; $proof$ = | fact3 -> int1: æããããšããããšãçºçãã; int1 & fact1 -> int2: ãŽããŽã¡ãLv.13äºä»¶ããã³æããããšããããšã©ã¡ãããçºçãã; int2 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: {A} fact3: ({A} & {B}) fact4: ({C} & {B}) -> ¬{D} ; $hypothesis$ = ¬{D} ; $proof$ = | fact3 -> int1: {B}; int1 & fact1 -> int2: ({C} & {B}); int2 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã«ãããLv.12äºä»¶ãèµ·ãã | {D} | fact1: ãœããœã«ãLv.87äºä»¶ã¯ãã«ãããLv.12äºä»¶ã«ç¹ãã fact2: ããŽããŽãLv.29äºä»¶ãèµ·ããã建è°ããããšãçããããšããããšã¯æãç«ããªããªããã«ãããLv.12äºä»¶ã¯çºçããªã fact3: èŠæ®ããããšã¯çºçããªããšããããšã¯ããœããœã«ãLv.87äºä»¶ãèµ·ãããªããŠå ããŠããããLv.74äºä»¶ã¯èµ·ãããªãããšããããšãçãããã fact4: ãœããœã«ãLv.87äºä»¶ã¯å»ºè°ããããšã«ãããããã fact5: 建è°ããããšã¯çºçãããããã«ãŽããŽãLv.29äºä»¶ã¯çºçãã fact6: ããããLv.27äºä»¶ãçºçãã | fact1: {C} -> {D} fact2: ¬({B} & {A}) -> ¬{D} fact3: ¬{F} -> (¬{C} & ¬{E}) fact4: {A} -> {C} fact5: ({A} & {B}) fact6: {DI} | [
"fact5 -> int1: ã建è°ããããšãçããããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ãœããœã«ãLv.87äºä»¶ãçºçãã; int2 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {A}; int1 & fact4 -> int2: {C}; int2 & fact1 -> hypothesis;"
] | ãã«ãããLv.12äºä»¶ã¯èµ·ãããªã | ¬{D} | [] | 7 | 3 | 3 | 3 | 3 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãœããœã«ãLv.87äºä»¶ã¯ãã«ãããLv.12äºä»¶ã«ç¹ãã fact2: ããŽããŽãLv.29äºä»¶ãèµ·ããã建è°ããããšãçããããšããããšã¯æãç«ããªããªããã«ãããLv.12äºä»¶ã¯çºçããªã fact3: èŠæ®ããããšã¯çºçããªããšããããšã¯ããœããœã«ãLv.87äºä»¶ãèµ·ãããªããŠå ããŠããããLv.74äºä»¶ã¯èµ·ãããªãããšããããšãçãããã fact4: ãœããœã«ãLv.87äºä»¶ã¯å»ºè°ããããšã«ãããããã fact5: 建è°ããããšã¯çºçãããããã«ãŽããŽãLv.29äºä»¶ã¯çºçãã fact6: ããããLv.27äºä»¶ãçºçãã ; $hypothesis$ = ãã«ãããLv.12äºä»¶ãèµ·ãã ; $proof$ = | fact5 -> int1: ã建è°ããããšãçããããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ãœããœã«ãLv.87äºä»¶ãçºçãã; int2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} -> {D} fact2: ¬({B} & {A}) -> ¬{D} fact3: ¬{F} -> (¬{C} & ¬{E}) fact4: {A} -> {C} fact5: ({A} & {B}) fact6: {DI} ; $hypothesis$ = {D} ; $proof$ = | fact5 -> int1: {A}; int1 & fact4 -> int2: {C}; int2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã¡ã
ãŸã«Lv.76ã¯åŒ·ããææºãã | ({C}{a} & {D}{a}) | fact1: ãã®ãŸã¡ã
ãŸã«Lv.76ã¯äŸµå
¥ãæã fact2: ãã®ãŸã¡ã
ãŸã«Lv.76ã¯åŸ¡èãããã fact3: ãããã®ãŸã¡ã
ãŸã«Lv.76ãæ¢ãã©ç¡ããªããã®ãŸã¡ã
ãŸã«Lv.76ã¯åŒ·ã fact4: ããã®ãŸã¡ã
ãŸã«Lv.76ã¯ææºããããšããããšã¯æãç«ã€ fact5: ãã®ãŽããŽã¡ã
Lv.56ã¯åŒ·ã | fact1: {B}{a} fact2: {IS}{a} fact3: {A}{a} -> {C}{a} fact4: {D}{a} fact5: {C}{bj} | [] | [] | null | null | [] | null | 3 | 3 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŸã¡ã
ãŸã«Lv.76ã¯äŸµå
¥ãæã fact2: ãã®ãŸã¡ã
ãŸã«Lv.76ã¯åŸ¡èãããã fact3: ãããã®ãŸã¡ã
ãŸã«Lv.76ãæ¢ãã©ç¡ããªããã®ãŸã¡ã
ãŸã«Lv.76ã¯åŒ·ã fact4: ããã®ãŸã¡ã
ãŸã«Lv.76ã¯ææºããããšããããšã¯æãç«ã€ fact5: ãã®ãŽããŽã¡ã
Lv.56ã¯åŒ·ã ; $hypothesis$ = ãã®ãŸã¡ã
ãŸã«Lv.76ã¯åŒ·ããææºãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: {IS}{a} fact3: {A}{a} -> {C}{a} fact4: {D}{a} fact5: {C}{bj} ; $hypothesis$ = ({C}{a} & {D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ã¿ãã¿ã¡ãLv.49äºä»¶ã¯çºçããªã | ¬{C} | fact1: ãŸããŸãLv.50äºä»¶ãçãã fact2: ãã¿ãã¿ã¡ãLv.49äºä»¶ã¯çããªãããšããããšã¯ããŸããŸãLv.50äºä»¶ãšèª€èªããããšã©ã¡ãããèµ·ããããšããããšãå¥æ©ã fact3: ã誀èªããããšãèµ·ããããšããããšã¯æãç«ã€ fact4: ãã¿ãã¿ã¡ãLv.49äºä»¶ãšãŸããŸãLv.50äºä»¶ãçºçããããšããããšã¯èª€èªããããšã¯çããªããšããããšã«èµ·å ãã fact5: ãŸããŸãLv.88äºä»¶ãçããªããªãã°èª€èªããããšã¯èµ·ãããªãããœã«ãœã«ã
Lv.53äºä»¶ãèµ·ãã fact6: ãå³ãããšããããšãšå®ãããšããããšãèµ·ããããšããããšã¯çå®ã§ãã | fact1: {A} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: ¬{B} -> ({C} & {A}) fact5: ¬{E} -> (¬{B} & {D}) fact6: ({Q} & {BB}) | [
"fact1 & fact3 -> int1: ãŸããŸãLv.50äºä»¶ãšèª€èªããããšã©ã¡ãããçºçãã; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | ã¿ãã¿ã¡ãLv.49äºä»¶ãèµ·ãã | {C} | [] | 7 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŸããŸãLv.50äºä»¶ãçãã fact2: ãã¿ãã¿ã¡ãLv.49äºä»¶ã¯çããªãããšããããšã¯ããŸããŸãLv.50äºä»¶ãšèª€èªããããšã©ã¡ãããèµ·ããããšããããšãå¥æ©ã fact3: ã誀èªããããšãèµ·ããããšããããšã¯æãç«ã€ fact4: ãã¿ãã¿ã¡ãLv.49äºä»¶ãšãŸããŸãLv.50äºä»¶ãçºçããããšããããšã¯èª€èªããããšã¯çããªããšããããšã«èµ·å ãã fact5: ãŸããŸãLv.88äºä»¶ãçããªããªãã°èª€èªããããšã¯èµ·ãããªãããœã«ãœã«ã
Lv.53äºä»¶ãèµ·ãã fact6: ãå³ãããšããããšãšå®ãããšããããšãèµ·ããããšããããšã¯çå®ã§ãã ; $hypothesis$ = ã¿ãã¿ã¡ãLv.49äºä»¶ã¯çºçããªã ; $proof$ = | fact1 & fact3 -> int1: ãŸããŸãLv.50äºä»¶ãšèª€èªããããšã©ã¡ãããçºçãã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} fact2: ({A} & {B}) -> ¬{C} fact3: {B} fact4: ¬{B} -> ({C} & {A}) fact5: ¬{E} -> (¬{B} & {D}) fact6: ({Q} & {BB}) ; $hypothesis$ = ¬{C} ; $proof$ = | fact1 & fact3 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |