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0.3 | ãœã¡ããœãLv.71äºä»¶ãèµ·ãã | {D} | fact1: 埡å¿ãããšããããšã¯èµ·ãããªã fact2: ããã©ããšããããšãèµ·ãããèãå¯ããšããããšãçºçããã°ãœã¡ããœãLv.71äºä»¶ã¯çããªã fact3: ããœã¡ããœãLv.71äºä»¶ãèµ·ãããããã«ããã©ããšããããšãèµ·ããããšããããšã¯å®å µãé£ããšããããšã¯èµ·ãããªããšããããšã«ãããããã fact4: èãå¯ããšããããšãèµ·ãã fact5: ãœããœãLv.30äºä»¶ããã³å®å µãé£ããšããããšã©ã¡ãããèµ·ãã fact6: é»ããšããããšãçºçããããã®äžãœã«ã
ãœã®Lv.39äºä»¶ã¯çºçãããšãããšããã«ã
ãã®Lv.5äºä»¶ã¯çããªãããšããããšã¯æ£ãã fact7: ä»®ã«åŸ¡å¿ãããšããããšã¯èµ·ãããªããšããã°ãããã©ããšããããšãšå®å µãé£ããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ã€ | fact1: ¬{E} fact2: ({A} & {C}) -> ¬{D} fact3: ¬{B} -> ({D} & {A}) fact4: {C} fact5: ({L} & {B}) fact6: ({DI} & {FR}) -> ¬{GS} fact7: ¬{E} -> ({A} & {B}) | [
"fact7 & fact1 -> int1: ããã©ããšããããšãšå®å µãé£ããšããããšäž¡æ¹ãšããèµ·ãã; int1 -> int2: ããã©ããšããããšãçãã; int2 & fact4 -> int3: ããã©ããšããããšãšèãå¯ããšããããšãèµ·ãã; int3 & fact2 -> hypothesis;"
] | [
"fact7 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact4 -> int3: ({A} & {C}); int3 & fact2 -> hypothesis;"
] | ãœã¡ããœãLv.71äºä»¶ãèµ·ãã | {D} | [] | 6 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 埡å¿ãããšããããšã¯èµ·ãããªã fact2: ããã©ããšããããšãèµ·ãããèãå¯ããšããããšãçºçããã°ãœã¡ããœãLv.71äºä»¶ã¯çããªã fact3: ããœã¡ããœãLv.71äºä»¶ãèµ·ãããããã«ããã©ããšããããšãèµ·ããããšããããšã¯å®å µãé£ããšããããšã¯èµ·ãããªããšããããšã«ãããããã fact4: èãå¯ããšããããšãèµ·ãã fact5: ãœããœãLv.30äºä»¶ããã³å®å µãé£ããšããããšã©ã¡ãããèµ·ãã fact6: é»ããšããããšãçºçããããã®äžãœã«ã
ãœã®Lv.39äºä»¶ã¯çºçãããšãããšããã«ã
ãã®Lv.5äºä»¶ã¯çããªãããšããããšã¯æ£ãã fact7: ä»®ã«åŸ¡å¿ãããšããããšã¯èµ·ãããªããšããã°ãããã©ããšããããšãšå®å µãé£ããšããããšäž¡æ¹ãšããçºçããããšããããšã¯æãç«ã€ ; $hypothesis$ = ãœã¡ããœãLv.71äºä»¶ãèµ·ãã ; $proof$ = | fact7 & fact1 -> int1: ããã©ããšããããšãšå®å µãé£ããšããããšäž¡æ¹ãšããèµ·ãã; int1 -> int2: ããã©ããšããããšãçãã; int2 & fact4 -> int3: ããã©ããšããããšãšèãå¯ããšããããšãèµ·ãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} fact2: ({A} & {C}) -> ¬{D} fact3: ¬{B} -> ({D} & {A}) fact4: {C} fact5: ({L} & {B}) fact6: ({DI} & {FR}) -> ¬{GS} fact7: ¬{E} -> ({A} & {B}) ; $hypothesis$ = {D} ; $proof$ = | fact7 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact4 -> int3: ({A} & {C}); int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã®ãã¡ãLv.2ã¯è
«ããŒã£ãã | {C}{a} | fact1: ããããã®ãã®ãã¡ãLv.2ãæªãããªããã®ãã®ãã¡ãLv.2ã¯è
«ããŒã£ããããšããããšã¯äºå®ã§ãã fact2: ãã®ãã®ãã¡ãLv.2ã¯æªãããŠå¿«ã | fact1: {A}{a} -> {C}{a} fact2: ({A}{a} & {B}{a}) | [
"fact2 -> int1: ãã®ãã®ãã¡ãLv.2ã¯æªãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããããã®ãã®ãã¡ãLv.2ãæªãããªããã®ãã®ãã¡ãLv.2ã¯è
«ããŒã£ããããšããããšã¯äºå®ã§ãã fact2: ãã®ãã®ãã¡ãLv.2ã¯æªãããŠå¿«ã ; $hypothesis$ = ãã®ãã®ãã¡ãLv.2ã¯è
«ããŒã£ãã ; $proof$ = | fact2 -> int1: ãã®ãã®ãã¡ãLv.2ã¯æªãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {C}{a} fact2: ({A}{a} & {B}{a}) ; $hypothesis$ = {C}{a} ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ããªã | ¬{E}{d} | fact1: 銎æã¿æ·±ãã¢ã³ã¹ã¿ãŒã¯åŽ©ãæã fact2: ããã®ãŸã¡ããŸã«ãLv.58ã¯æªããªãããããããã¯å«ãããããšããããšã¯ééãã§ãããªãã°ããã¯åŽ©ãæããšããããšã¯ãªã fact3: 厩ãæãã¢ã³ã¹ã¿ãŒã¯æãé£ããèŠé£ããªã fact4: ãã®ãœã¡ããœã«ãLv.94ã¯æãé£ããªã fact5: ããããã®ãŽããŽã«ãLv.0ã¯éŠŽæã¿æ·±ããšãããããã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ãããšããããšã¯äºå®ã§ãã fact6: ãããã®ãœã¡ããœã«ãLv.94ãæãé£ããèŠé£ããªããšãããšãã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ããªã fact7: ä»®ã«ãã®ãœã¡ããœã«ãLv.94ã¯æãé£ããªããªãã°ããã®ãŸã¡ããŸã«ãLv.58ã¯æªããªãããã©å«ãããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact8: ããããã®ãŸã¡ããŸã«ãLv.58ã厩ãæããªããšããã°ãã®ãŽããŽã«ãLv.0ã¯æ±ãæããšããããšã¯ãªãããã©éŠŽæã¿æ·±ã | fact1: (x): {C}x -> {B}x fact2: ¬(¬{AA}{b} & {AB}{b}) -> ¬{B}{b} fact3: (x): {B}x -> ({A}x & ¬{E}x) fact4: ¬{A}{a} fact5: {C}{c} -> {E}{d} fact6: ({A}{a} & ¬{E}{a}) -> ¬{E}{d} fact7: ¬{A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact8: ¬{B}{b} -> (¬{D}{c} & {C}{c}) | [
"fact7 & fact4 -> int1: ããã®ãŸã¡ããŸã«ãLv.58ã¯æªããªãããã©å«ãããããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact2 -> int2: ãã®ãŸã¡ããŸã«ãLv.58ã¯åŽ©ãæããšããããšã¯ãªã; int2 & fact8 -> int3: ãã®ãŽããŽã«ãLv.0ã¯æ±ãæããªãäžæ¹ã§ããã¯éŠŽæã¿æ·±ã; int3 -> int4: ãã®ãŽããŽã«ãLv.0ã¯éŠŽæã¿æ·±ã; int4 & fact5 -> hypothesis;"
] | [
"fact7 & fact4 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact2 -> int2: ¬{B}{b}; int2 & fact8 -> int3: (¬{D}{c} & {C}{c}); int3 -> int4: {C}{c}; int4 & fact5 -> hypothesis;"
] | ãã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ããªã | ¬{E}{d} | [
"fact10 -> int5: ããããã®ãœã¡ããœã«ãLv.94ã厩ãæããªããã®ãœã¡ããœã«ãLv.94ã¯æãé£ããããã¯èŠé£ããšããããšã¯ãªã; fact9 -> int6: ããããã®ãœã¡ããœã«ãLv.94ã銎æã¿æ·±ããªããã®ãœã¡ããœã«ãLv.94ã¯åŽ©ãæã;"
] | 6 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: 銎æã¿æ·±ãã¢ã³ã¹ã¿ãŒã¯åŽ©ãæã fact2: ããã®ãŸã¡ããŸã«ãLv.58ã¯æªããªãããããããã¯å«ãããããšããããšã¯ééãã§ãããªãã°ããã¯åŽ©ãæããšããããšã¯ãªã fact3: 厩ãæãã¢ã³ã¹ã¿ãŒã¯æãé£ããèŠé£ããªã fact4: ãã®ãœã¡ããœã«ãLv.94ã¯æãé£ããªã fact5: ããããã®ãŽããŽã«ãLv.0ã¯éŠŽæã¿æ·±ããšãããããã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ãããšããããšã¯äºå®ã§ãã fact6: ãããã®ãœã¡ããœã«ãLv.94ãæãé£ããèŠé£ããªããšãããšãã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ããªã fact7: ä»®ã«ãã®ãœã¡ããœã«ãLv.94ã¯æãé£ããªããªãã°ããã®ãŸã¡ããŸã«ãLv.58ã¯æªããªãããã©å«ãããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact8: ããããã®ãŸã¡ããŸã«ãLv.58ã厩ãæããªããšããã°ãã®ãŽããŽã«ãLv.0ã¯æ±ãæããšããããšã¯ãªãããã©éŠŽæã¿æ·±ã ; $hypothesis$ = ãã®ã¿ãã¿ã«ãLv.52ã¯èŠé£ããªã ; $proof$ = | fact7 & fact4 -> int1: ããã®ãŸã¡ããŸã«ãLv.58ã¯æªããªãããã©å«ãããããšããããšã¯æãç«ã€ãšããããšã¯ãªã; int1 & fact2 -> int2: ãã®ãŸã¡ããŸã«ãLv.58ã¯åŽ©ãæããšããããšã¯ãªã; int2 & fact8 -> int3: ãã®ãŽããŽã«ãLv.0ã¯æ±ãæããªãäžæ¹ã§ããã¯éŠŽæã¿æ·±ã; int3 -> int4: ãã®ãŽããŽã«ãLv.0ã¯éŠŽæã¿æ·±ã; int4 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {C}x -> {B}x fact2: ¬(¬{AA}{b} & {AB}{b}) -> ¬{B}{b} fact3: (x): {B}x -> ({A}x & ¬{E}x) fact4: ¬{A}{a} fact5: {C}{c} -> {E}{d} fact6: ({A}{a} & ¬{E}{a}) -> ¬{E}{d} fact7: ¬{A}{a} -> ¬(¬{AA}{b} & {AB}{b}) fact8: ¬{B}{b} -> (¬{D}{c} & {C}{c}) ; $hypothesis$ = ¬{E}{d} ; $proof$ = | fact7 & fact4 -> int1: ¬(¬{AA}{b} & {AB}{b}); int1 & fact2 -> int2: ¬{B}{b}; int2 & fact8 -> int3: (¬{D}{c} & {C}{c}); int3 -> int4: {C}{c}; int4 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã¿ã®ã¿ã¡ãLv.71ã¯æããããã«ããã¯æã
ãã | ({A}{b} & {C}{b}) | fact1: ãã®ãœãªãœã«Lv.48ã¯çãæããªã fact2: ãããã®ãœãªãœã«Lv.48ãæããšããã°ãã®ãœãªãœã«Lv.48ã¯çãæã fact3: ãã®ã¿ã®ã¿ã¡ãLv.71ã¯æã
ãã fact4: ãããã®ãœãªãœã«Lv.48ãæãŸãªããšãããšãã®ã¿ã®ã¿ã¡ãLv.71ã¯æããããã¯æã
ãã | fact1: ¬{B}{a} fact2: {A}{a} -> {B}{a} fact3: {C}{b} fact4: ¬{A}{a} -> ({A}{b} & {C}{b}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœãªãœã«Lv.48ã¯æã; fact2 & assump1 -> int1: ãã®ãœãªãœã«Lv.48ã¯çãæã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœãªãœã«Lv.48ã¯æãŸãªãããšããããšã¯çå®ã ; int3 & fact4 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãœãªãœã«Lv.48ã¯çãæããªã fact2: ãããã®ãœãªãœã«Lv.48ãæããšããã°ãã®ãœãªãœã«Lv.48ã¯çãæã fact3: ãã®ã¿ã®ã¿ã¡ãLv.71ã¯æã
ãã fact4: ãããã®ãœãªãœã«Lv.48ãæãŸãªããšãããšãã®ã¿ã®ã¿ã¡ãLv.71ã¯æããããã¯æã
ãã ; $hypothesis$ = ãã®ã¿ã®ã¿ã¡ãLv.71ã¯æããããã«ããã¯æã
ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœãªãœã«Lv.48ã¯æã; fact2 & assump1 -> int1: ãã®ãœãªãœã«Lv.48ã¯çãæã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ããã®ãœãªãœã«Lv.48ã¯æãŸãªãããšããããšã¯çå®ã ; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B}{a} fact2: {A}{a} -> {B}{a} fact3: {C}{b} fact4: ¬{A}{a} -> ({A}{b} & {C}{b}) ; $hypothesis$ = ({A}{b} & {C}{b}) ; $proof$ = | void -> assump1: {A}{a}; fact2 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããè²·ãæããšããããšãèµ·ãã | {A} | fact1: ããŽããŽãLv.50äºä»¶ãçããããšããããšã¯çå®ã fact2: éºããšããããšãèµ·ãã fact3: ã¿ã«ã
ã¿ãLv.56äºä»¶ãšå³ãé£ããšããããšãèµ·ããã¯ãŸã«ã
ãŸã¡ãLv.11äºä»¶ã¯èµ·ããªããšããããšã«ç¹ãã fact4: ãæšç®çŽ°ãããšããããšãšè²·ãæããšããããšãçºçããããšããããšã¯ãéºããšããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact5: æããšããããšãèµ·ãã fact6: ããä»®ã«è²·ãæããšããããšãšéºããšããããšäž¡æ¹ãšããçãããšãããã¿ãã¿ãLv.1äºä»¶ã¯çããªã fact7: ã¿ãã¿ãLv.1äºä»¶ãçºçãã | fact1: {BJ} fact2: {B} fact3: ({HH} & {IH}) -> ¬{D} fact4: ¬{B} -> ({FS} & {A}) fact5: {FI} fact6: ({A} & {B}) -> ¬{C} fact7: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããè²·ãæããšããããšãèµ·ãã; assump1 & fact2 -> int1: è²·ãæããšããããšããã³éºããšããããšãèµ·ãã; int1 & fact6 -> int2: ã¿ãã¿ãLv.1äºä»¶ã¯èµ·ãããªã; int2 & fact7 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact7 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | æšç®çŽ°ãããšããããšãèµ·ãã | {FS} | [] | 6 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããŽããŽãLv.50äºä»¶ãçããããšããããšã¯çå®ã fact2: éºããšããããšãèµ·ãã fact3: ã¿ã«ã
ã¿ãLv.56äºä»¶ãšå³ãé£ããšããããšãèµ·ããã¯ãŸã«ã
ãŸã¡ãLv.11äºä»¶ã¯èµ·ããªããšããããšã«ç¹ãã fact4: ãæšç®çŽ°ãããšããããšãšè²·ãæããšããããšãçºçããããšããããšã¯ãéºããšããããšã¯èµ·ããªãããšããããšã«èµ·å ãã fact5: æããšããããšãèµ·ãã fact6: ããä»®ã«è²·ãæããšããããšãšéºããšããããšäž¡æ¹ãšããçãããšãããã¿ãã¿ãLv.1äºä»¶ã¯çããªã fact7: ã¿ãã¿ãLv.1äºä»¶ãçºçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããè²·ãæããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããè²·ãæããšããããšãèµ·ãã; assump1 & fact2 -> int1: è²·ãæããšããããšããã³éºããšããããšãèµ·ãã; int1 & fact6 -> int2: ã¿ãã¿ãLv.1äºä»¶ã¯èµ·ãããªã; int2 & fact7 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {BJ} fact2: {B} fact3: ({HH} & {IH}) -> ¬{D} fact4: ¬{B} -> ({FS} & {A}) fact5: {FI} fact6: ({A} & {B}) -> ¬{C} fact7: {C} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact7 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããå®å µããªãããããã¯çŸšãŸãããªãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ã€ãšããã°é·ãŒããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): (¬{AA}x v ¬{AB}x) -> ¬{B}x | fact1: ããããå®å µããªãã矚ãŸããããŸãã¯ã©ã¡ããã§ãããªãé·ãŒããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããå®å µãããšããããšã¯ãªãããããã¯çŸšãŸãããªãããããã¯äž¡æ¹ã ãšãããšé·ãŒããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãããšããã¢ã³ã¹ã¿ãŒãéåããªããããããšãããªããªãã°å ªãé£ããªã fact4: ãä»®ã«ç±ãæãããããã¯å¿è匷ããªãããããã¯ã©ã¡ããã ãšãããã匱ã
ãããšããããšã¯ãªãããšããããšã¯äºå®ãªãã¢ã³ã¹ã¿ãŒã¯ãã | fact1: (Ex): (¬{AA}x v {AB}x) -> ¬{B}x fact2: (Ex): (¬{AA}x v ¬{AB}x) -> {B}x fact3: (x): (¬{IO}x v ¬{JB}x) -> ¬{JC}x fact4: (Ex): ({CG}x v ¬{ET}x) -> ¬{BI}x | [] | [] | ãã®ãœããœãLv.13ãéåããªãããšãããªããªãã°å ªãé£ããªã | (¬{IO}{ds} v ¬{JB}{ds}) -> ¬{JC}{ds} | [
"fact5 -> hypothesis;"
] | 1 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããããå®å µããªãã矚ãŸããããŸãã¯ã©ã¡ããã§ãããªãé·ãŒããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããå®å µãããšããããšã¯ãªãããããã¯çŸšãŸãããªãããããã¯äž¡æ¹ã ãšãããšé·ãŒããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãããšããã¢ã³ã¹ã¿ãŒãéåããªããããããšãããªããªãã°å ªãé£ããªã fact4: ãä»®ã«ç±ãæãããããã¯å¿è匷ããªãããããã¯ã©ã¡ããã ãšãããã匱ã
ãããšããããšã¯ãªãããšããããšã¯äºå®ãªãã¢ã³ã¹ã¿ãŒã¯ãã ; $hypothesis$ = ããå®å µããªãããããã¯çŸšãŸãããªãããããã¯ã©ã¡ããã§ããããšããããšã¯æãç«ã€ãšããã°é·ãŒããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): (¬{AA}x v {AB}x) -> ¬{B}x fact2: (Ex): (¬{AA}x v ¬{AB}x) -> {B}x fact3: (x): (¬{IO}x v ¬{JB}x) -> ¬{JC}x fact4: (Ex): ({CG}x v ¬{ET}x) -> ¬{BI}x ; $hypothesis$ = (Ex): (¬{AA}x v ¬{AB}x) -> ¬{B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ãã¿ãLv.36ã¯èŠãæããªã | ¬{B}{aa} | fact1: ããšããã¢ã³ã¹ã¿ãŒã¯çŽæåºæ¥ããããŸãã«æãããšããããšã¯èª€ã£ãŠãããšãããšããã¯èŠãæããªã fact2: ãããã®ã¿ãã¿ãLv.36ã¯çŽæåºæ¥ããæãããšããããšã¯ç¢ºãã§ããããšããããšã¯ééãã§ãã fact3: ãããã®ãŽã«ãŽãLv.64ãåŒã£æ¬ããã°ãã®ã¿ãã¿ãLv.36ã¯èŠãæã | fact1: (x): ¬({AA}x & {AB}x) -> ¬{B}x fact2: ¬({AA}{aa} & {AB}{aa}) fact3: {A}{a} -> {B}{aa} | [
"fact1 -> int1: ããä»®ã«ããã®ã¿ãã¿ãLv.36ã¯çŽæåºæ¥ãããŸãæãããšããããšã¯ç¢ºãã§ãªããªããã®ã¿ãã¿ãLv.36ã¯èŠãæããšããããšã¯ãªã; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact2 -> hypothesis;"
] | ãã®ã¿ãã¿ãLv.36ã¯èŠãæã | {B}{aa} | [] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããšããã¢ã³ã¹ã¿ãŒã¯çŽæåºæ¥ããããŸãã«æãããšããããšã¯èª€ã£ãŠãããšãããšããã¯èŠãæããªã fact2: ãããã®ã¿ãã¿ãLv.36ã¯çŽæåºæ¥ããæãããšããããšã¯ç¢ºãã§ããããšããããšã¯ééãã§ãã fact3: ãããã®ãŽã«ãŽãLv.64ãåŒã£æ¬ããã°ãã®ã¿ãã¿ãLv.36ã¯èŠãæã ; $hypothesis$ = ãã®ã¿ãã¿ãLv.36ã¯èŠãæããªã ; $proof$ = | fact1 -> int1: ããä»®ã«ããã®ã¿ãã¿ãLv.36ã¯çŽæåºæ¥ãããŸãæãããšããããšã¯ç¢ºãã§ãªããªããã®ã¿ãã¿ãLv.36ã¯èŠãæããšããããšã¯ãªã; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬({AA}x & {AB}x) -> ¬{B}x fact2: ¬({AA}{aa} & {AB}{aa}) fact3: {A}{a} -> {B}{aa} ; $hypothesis$ = ¬{B}{aa} ; $proof$ = | fact1 -> int1: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{aa}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.0ã¯åã³é£ã | {F}{b} | fact1: ããä»®ã«ãã®ã¿ã«ãã¿ãLv.75ã¯åå¥åããããããã¯åæºãæãããŸãã¯äž¡æ¹ãšãã§ãããªãã°è
¹ç«ããããšããããšã¯ãªã fact2: ãããããã®ã¿ã«ãã¿ãLv.75ã¯çãŸããããã©åšããããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŽããŽãLv.0ã¯åã³é£ããªã fact3: ããããã®ã¿ã«ãã¿ãLv.75ã¯è
¹ç«ããããªããªãããã®ã¿ã«ãã¿ãLv.75ã¯çãŸããããã©åšããããšããããšã¯ãªãããšããããšã¯åœã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ¬({D}{a} & ¬{E}{a}) -> ¬{F}{b} fact3: ¬{C}{a} -> ¬({D}{a} & ¬{E}{a}) | [] | [] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ã¿ã«ãã¿ãLv.75ã¯åå¥åããããããã¯åæºãæãããŸãã¯äž¡æ¹ãšãã§ãããªãã°è
¹ç«ããããšããããšã¯ãªã fact2: ãããããã®ã¿ã«ãã¿ãLv.75ã¯çãŸããããã©åšããããªãããšããããšã¯æãç«ããªããªãã°ãã®ãŽããŽãLv.0ã¯åã³é£ããªã fact3: ããããã®ã¿ã«ãã¿ãLv.75ã¯è
¹ç«ããããªããªãããã®ã¿ã«ãã¿ãLv.75ã¯çãŸããããã©åšããããšããããšã¯ãªãããšããããšã¯åœã ; $hypothesis$ = ãã®ãŽããŽãLv.0ã¯åã³é£ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{a} fact2: ¬({D}{a} & ¬{E}{a}) -> ¬{F}{b} fact3: ¬{C}{a} -> ¬({D}{a} & ¬{E}{a}) ; $hypothesis$ = {F}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãããã眪深ãããŸãã¯å¢ããªãããŸãã¯äž¡æ¹ã ãšããã°åã£ãœããªããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({AA}x v ¬{AB}x) -> ¬{B}x | fact1: ãåºããé£ããšããã倪ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããããåç¡ãããããã¯æè²ãããªãããŸãã¯ã©ã¡ãããªãä¿¡ä»°æ·±ããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãã®ãã¡ãããªLv.98ã眪深ããªãã°åã£ãœããªã fact4: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåæºãæãããããã¯åã£ãœããªããªãããã¯ç¶èŠªããããªã fact5: ãã®ãã¡ãããªLv.98ã眪深ãããããå¢ããªãããããã¯ã©ã¡ããã§ãããšãããšãã®ãã¡ãããªLv.98ã¯åã£ãœããšããããšã¯ãªã | fact1: (Ex): {FU}x -> ¬{GH}x fact2: (Ex): ({HB}x v ¬{CN}x) -> {BD}x fact3: {AA}{aa} -> ¬{B}{aa} fact4: (x): ({BP}x v ¬{B}x) -> ¬{CF}x fact5: ({AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} | [
"fact5 -> hypothesis;"
] | [
"fact5 -> hypothesis;"
] | ãããã®ãã¡ãããªLv.98ãåæºãæãããŸãã¯ããã¯åã£ãœããªãããããã¯ã©ã¡ããã ãšãããç¶èŠªããããšããããšã¯ãªã | ({BP}{aa} v ¬{B}{aa}) -> ¬{CF}{aa} | [
"fact6 -> hypothesis;"
] | 1 | 1 | 1 | 1 | 1 | 4 | 0 | 4 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ãåºããé£ããšããã倪ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ããããåç¡ãããããã¯æè²ãããªãããŸãã¯ã©ã¡ãããªãä¿¡ä»°æ·±ããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãã®ãã¡ãããªLv.98ã眪深ããªãã°åã£ãœããªã fact4: ããä»®ã«ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãåæºãæãããããã¯åã£ãœããªããªãããã¯ç¶èŠªããããªã fact5: ãã®ãã¡ãããªLv.98ã眪深ãããããå¢ããªãããããã¯ã©ã¡ããã§ãããšãããšãã®ãã¡ãããªLv.98ã¯åã£ãœããšããããšã¯ãªã ; $hypothesis$ = ãããã眪深ãããŸãã¯å¢ããªãããŸãã¯äž¡æ¹ã ãšããã°åã£ãœããªããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): {FU}x -> ¬{GH}x fact2: (Ex): ({HB}x v ¬{CN}x) -> {BD}x fact3: {AA}{aa} -> ¬{B}{aa} fact4: (x): ({BP}x v ¬{B}x) -> ¬{CF}x fact5: ({AA}{aa} v ¬{AB}{aa}) -> ¬{B}{aa} ; $hypothesis$ = (Ex): ({AA}x v ¬{AB}x) -> ¬{B}x ; $proof$ = | fact5 -> hypothesis; __PROVED__ |
0.3 | ãããååœéžãããã©ç©çãããªãããšããããšã¯åœã§ãããšããã°ããããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã | ¬((Ex): ¬({AA}x & ¬{AB}x) -> ¬{B}x) | fact1: ããã®ãã«ãã®Lv.85ãéç«ã¡ããªããšããã°ãã®ãœã«ããœãLv.95ã¯æèäŒã£ãœããªãããããã¯èžèŠãããªãããããã¯ã©ã¡ããã§ããããšããããšã¯åã | fact1: fake_formula | [] | [] | null | null | [] | null | 1 | 1 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããã®ãã«ãã®Lv.85ãéç«ã¡ããªããšããã°ãã®ãœã«ããœãLv.95ã¯æèäŒã£ãœããªãããããã¯èžèŠãããªãããããã¯ã©ã¡ããã§ããããšããããšã¯åã ; $hypothesis$ = ãããååœéžãããã©ç©çãããªãããšããããšã¯åœã§ãããšããã°ããããªããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ¬((Ex): ¬({AA}x & ¬{AB}x) -> ¬{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããŠãŸãè
ãæãããšããããšã¯åœã | ¬({E}{b} & {D}{b}) | fact1: ä»®ã«ãã®ãœã®ãœã«ãLv.63ãé Œããããªããªãã°ãã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããŠãã€é Œããã fact2: ãã®ãœã®ãœã«ãLv.63ã¯èŠéããããã«è¡ããã fact3: ä»®ã«ãã®ãœã®ãœã«ãLv.63ãèŠéãã°ãã®ãœã®ãœã«ãLv.63ã¯é Œããããªã fact4: ãã®ãŽããŽã¡ã
Lv.26ã¯è
ãæã fact5: ä»®ã«ãã®ãœã®ãœã«ãLv.63ã¯èŠéããªããšããã°ããã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæãããã®äžè
ãæãããšããããšã¯æãç«ããªã | fact1: ¬{C}{a} -> ({E}{b} & {C}{b}) fact2: ({A}{a} & {B}{a}) fact3: {A}{a} -> ¬{C}{a} fact4: {D}{b} fact5: ¬{A}{a} -> ¬({E}{b} & {D}{b}) | [
"fact2 -> int1: ãã®ãœã®ãœã«ãLv.63ã¯èŠéã; int1 & fact3 -> int2: ãã®ãœã®ãœã«ãLv.63ã¯é Œããããªã; int2 & fact1 -> int3: ãã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããæŽã«ããã¯é Œããã; int3 -> int4: ãã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæã; int4 & fact4 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 & fact3 -> int2: ¬{C}{a}; int2 & fact1 -> int3: ({E}{b} & {C}{b}); int3 -> int4: {E}{b}; int4 & fact4 -> hypothesis;"
] | ããã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããŠãŸãè
ãæãããšããããšã¯åœã | ¬({E}{b} & {D}{b}) | [] | 6 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãœã®ãœã«ãLv.63ãé Œããããªããªãã°ãã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããŠãã€é Œããã fact2: ãã®ãœã®ãœã«ãLv.63ã¯èŠéããããã«è¡ããã fact3: ä»®ã«ãã®ãœã®ãœã«ãLv.63ãèŠéãã°ãã®ãœã®ãœã«ãLv.63ã¯é Œããããªã fact4: ãã®ãŽããŽã¡ã
Lv.26ã¯è
ãæã fact5: ä»®ã«ãã®ãœã®ãœã«ãLv.63ã¯èŠéããªããšããã°ããã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæãããã®äžè
ãæãããšããããšã¯æãç«ããªã ; $hypothesis$ = ããã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããŠãŸãè
ãæãããšããããšã¯åœã ; $proof$ = | fact2 -> int1: ãã®ãœã®ãœã«ãLv.63ã¯èŠéã; int1 & fact3 -> int2: ãã®ãœã®ãœã«ãLv.63ã¯é Œããããªã; int2 & fact1 -> int3: ãã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæããæŽã«ããã¯é Œããã; int3 -> int4: ãã®ãŽããŽã¡ã
Lv.26ã¯äŒžã°ãæã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C}{a} -> ({E}{b} & {C}{b}) fact2: ({A}{a} & {B}{a}) fact3: {A}{a} -> ¬{C}{a} fact4: {D}{b} fact5: ¬{A}{a} -> ¬({E}{b} & {D}{b}) ; $hypothesis$ = ¬({E}{b} & {D}{b}) ; $proof$ = | fact2 -> int1: {A}{a}; int1 & fact3 -> int2: ¬{C}{a}; int2 & fact1 -> int3: ({E}{b} & {C}{b}); int3 -> int4: {E}{b}; int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | é£ãé£ããšããããšã¯èµ·ããªã | ¬{A} | fact1: ãŸã«ã
ãŸãLv.74äºä»¶ã¯çºçããªã fact2: æ£éžããããšãçºçãã fact3: ãŽãªãŽãLv.38äºä»¶ãçãããç²ã£ãœããšããããšãçºçããããããã¯ã©ã¡ããã§ãã fact4: ã·ãã·ã«ã
Lv.92äºä»¶ãçºçãã fact5: æªããšããããšãçãã fact6: ãã·ãã·ã«ã
Lv.92äºä»¶ã¯çºçããªãããšããããšã¯é£ãé£ããšããããšããããã¯ããŸããŸã®Lv.92äºä»¶ãèµ·ããããšããããšãäž¡æ¹ãšãã«èµ·å ãã fact7: å®ããšããããšããããã¯ã¿ã«ã
ã¿ã¡ã
Lv.11äºä»¶ãäž¡æ¹ãçãã | fact1: ¬{FM} fact2: {JH} fact3: ({DQ} v {CQ}) fact4: {C} fact5: {AC} fact6: ({A} v {B}) -> ¬{C} fact7: ({BC} v {DB}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããé£ãé£ããšããããšãçããããšããããšã¯çå®ã§ãã; assump1 -> int1: é£ãé£ããšããããšãçããããããã¯ãŸããŸã®Lv.92äºä»¶ãèµ·ãããäž¡æ¹ã ; int1 & fact6 -> int2: ã·ãã·ã«ã
Lv.92äºä»¶ã¯çããªã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 5 | 0 | 5 | PROVED | null | PROVED | null | $facts$ = fact1: ãŸã«ã
ãŸãLv.74äºä»¶ã¯çºçããªã fact2: æ£éžããããšãçºçãã fact3: ãŽãªãŽãLv.38äºä»¶ãçãããç²ã£ãœããšããããšãçºçããããããã¯ã©ã¡ããã§ãã fact4: ã·ãã·ã«ã
Lv.92äºä»¶ãçºçãã fact5: æªããšããããšãçãã fact6: ãã·ãã·ã«ã
Lv.92äºä»¶ã¯çºçããªãããšããããšã¯é£ãé£ããšããããšããããã¯ããŸããŸã®Lv.92äºä»¶ãèµ·ããããšããããšãäž¡æ¹ãšãã«èµ·å ãã fact7: å®ããšããããšããããã¯ã¿ã«ã
ã¿ã¡ã
Lv.11äºä»¶ãäž¡æ¹ãçãã ; $hypothesis$ = é£ãé£ããšããããšã¯èµ·ããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããé£ãé£ããšããããšãçããããšããããšã¯çå®ã§ãã; assump1 -> int1: é£ãé£ããšããããšãçããããããã¯ãŸããŸã®Lv.92äºä»¶ãèµ·ãããäž¡æ¹ã ; int1 & fact6 -> int2: ã·ãã·ã«ã
Lv.92äºä»¶ã¯çããªã; int2 & fact4 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{FM} fact2: {JH} fact3: ({DQ} v {CQ}) fact4: {C} fact5: {AC} fact6: ({A} v {B}) -> ¬{C} fact7: ({BC} v {DB}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; assump1 -> int1: ({A} v {B}); int1 & fact6 -> int2: ¬{C}; int2 & fact4 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | èš±ãé£ããšããããšã¯ãœããœãLv.20äºä»¶ãåå ã | {A} -> {C} | fact1: ãœããœãLv.20äºä»¶ã¯åŒ·ããšããããšãåŒãèµ·ãã fact2: èš±ãé£ããšããããšã¯åŒ·ããšããããšã«ãããããã fact3: ããããšããããšãçãã | fact1: {A} -> {B} fact2: {B} -> {C} fact3: {T} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããœããœãLv.20äºä»¶ãèµ·ãã; fact1 & assump1 -> int1: 匷ããšããããšãèµ·ãã; int1 & fact2 -> int2: èš±ãé£ããšããããšãèµ·ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 & fact2 -> int2: {C}; [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ãœããœãLv.20äºä»¶ã¯åŒ·ããšããããšãåŒãèµ·ãã fact2: èš±ãé£ããšããããšã¯åŒ·ããšããããšã«ãããããã fact3: ããããšããããšãçãã ; $hypothesis$ = èš±ãé£ããšããããšã¯ãœããœãLv.20äºä»¶ãåå ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããœããœãLv.20äºä»¶ãèµ·ãã; fact1 & assump1 -> int1: 匷ããšããããšãèµ·ãã; int1 & fact2 -> int2: èš±ãé£ããšããããšãèµ·ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: {B} -> {C} fact3: {T} ; $hypothesis$ = {A} -> {C} ; $proof$ = | void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 & fact2 -> int2: {C}; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | æšããããšããããšããã³åæ
ããããšäž¡æ¹ãèµ·ãã | ({C} & {D}) | fact1: ãã€ãã£ãããããšããããšã¯çœ®ãæããšããããšã«åŒãèµ·ãããã fact2: ãåæ
ããããšãçºçããããšããããšã¯ç¢ºãã§ãã fact3: ãã€ãã£ãããããšããããšã¯é æ¯ç¡ããšããããšã«åž°çµãã fact4: ãçŠã
ãããšããããšããã³åŸ®ç¬ãŸãããšããããšãçºçããããšããããšã¯çå®ã§ãã fact5: ãœãªãœãLv.16äºä»¶ãçããã眮ãæããšããããšãçãã fact6: ãœãªãœãLv.16äºä»¶ã¯ããã€ãã£ãããããšããããšã¯çããªãããšããããšãé»æ¢ãã fact7: ãæšããããšããããšã¯èµ·ãããªãããšããããšã¯é æ¯ç¡ããšããããšã«é»ãŸãã fact8: éšã
ãããšããããšãèµ·ãã | fact1: {F} -> {A} fact2: {D} fact3: {A} -> {B} fact4: ({GF} & {CO}) fact5: ({E} v {F}) fact6: {E} -> {A} fact7: {B} -> {C} fact8: {HG} | [
"fact6 & fact5 & fact1 -> int1: ãã€ãã£ãããããšããããšãçãã; fact3 & int1 -> int2: é æ¯ç¡ããšããããšãçãã; int2 & fact7 -> int3: æšããããšããããšãçãã; int3 & fact2 -> hypothesis;"
] | [
"fact6 & fact5 & fact1 -> int1: {A}; fact3 & int1 -> int2: {B}; int2 & fact7 -> int3: {C}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãã€ãã£ãããããšããããšã¯çœ®ãæããšããããšã«åŒãèµ·ãããã fact2: ãåæ
ããããšãçºçããããšããããšã¯ç¢ºãã§ãã fact3: ãã€ãã£ãããããšããããšã¯é æ¯ç¡ããšããããšã«åž°çµãã fact4: ãçŠã
ãããšããããšããã³åŸ®ç¬ãŸãããšããããšãçºçããããšããããšã¯çå®ã§ãã fact5: ãœãªãœãLv.16äºä»¶ãçããã眮ãæããšããããšãçãã fact6: ãœãªãœãLv.16äºä»¶ã¯ããã€ãã£ãããããšããããšã¯çããªãããšããããšãé»æ¢ãã fact7: ãæšããããšããããšã¯èµ·ãããªãããšããããšã¯é æ¯ç¡ããšããããšã«é»ãŸãã fact8: éšã
ãããšããããšãèµ·ãã ; $hypothesis$ = æšããããšããããšããã³åæ
ããããšäž¡æ¹ãèµ·ãã ; $proof$ = | fact6 & fact5 & fact1 -> int1: ãã€ãã£ãããããšããããšãçãã; fact3 & int1 -> int2: é æ¯ç¡ããšããããšãçãã; int2 & fact7 -> int3: æšããããšããããšãçãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {F} -> {A} fact2: {D} fact3: {A} -> {B} fact4: ({GF} & {CO}) fact5: ({E} v {F}) fact6: {E} -> {A} fact7: {B} -> {C} fact8: {HG} ; $hypothesis$ = ({C} & {D}) ; $proof$ = | fact6 & fact5 & fact1 -> int1: {A}; fact3 & int1 -> int2: {B}; int2 & fact7 -> int3: {C}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãããããã®ãœããœã«ã
Lv.22ãç¶ç¶ãé£ããªããªããã®ãœã«ãœã¡ãLv.76ã¯çšç¡ããªãããã©çã ãããšããããšã¯æãç«ããªã | ¬(¬{A}{a} -> (¬{D}{b} & {C}{b})) | fact1: ä»®ã«ãã®ãœããœã«ã
Lv.22ã¯ç¶ç¶ãé£ããšããããããã¯ç¯ãé£ããªããŠãã€åãæããæããšããããšã¯ãªãããšããããšã¯ééãã§ãã fact2: ããããã®ãœããœã«ã
Lv.22ã¯ç®èã£ãœãããšããããšã¯åœã ãšãããšãã®ãœã«ãœã¡ãLv.76ã¯çšç¡ããªãããããçã ã fact3: ä»®ã«ãã®ãœããœã«ã
Lv.22ã¯ç¶ç¶ãé£ããªããªãããã®ãœããœã«ã
Lv.22ã¯ç¯ãé£ããªããåãæããæããªãããšããããšã¯æãç«ããªã | fact1: {A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬{B}{a} -> (¬{D}{b} & {C}{b}) fact3: ¬{A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœã«ã
Lv.22ã¯ç¶ç¶ãé£ããªã; fact3 & assump1 -> int1: ããã®ãœããœã«ã
Lv.22ã¯ç¯ãé£ããªããåãæããæããªãããšããããšã¯ééã£ãŠãã;"
] | [
"void -> assump1: ¬{A}{a}; fact3 & assump1 -> int1: ¬(¬{AA}{a} & ¬{AB}{a});"
] | null | null | [] | null | 5 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãœããœã«ã
Lv.22ã¯ç¶ç¶ãé£ããšããããããã¯ç¯ãé£ããªããŠãã€åãæããæããšããããšã¯ãªãããšããããšã¯ééãã§ãã fact2: ããããã®ãœããœã«ã
Lv.22ã¯ç®èã£ãœãããšããããšã¯åœã ãšãããšãã®ãœã«ãœã¡ãLv.76ã¯çšç¡ããªãããããçã ã fact3: ä»®ã«ãã®ãœããœã«ã
Lv.22ã¯ç¶ç¶ãé£ããªããªãããã®ãœããœã«ã
Lv.22ã¯ç¯ãé£ããªããåãæããæããªãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãããããã®ãœããœã«ã
Lv.22ãç¶ç¶ãé£ããªããªããã®ãœã«ãœã¡ãLv.76ã¯çšç¡ããªãããã©çã ãããšããããšã¯æãç«ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) fact2: ¬{B}{a} -> (¬{D}{b} & {C}{b}) fact3: ¬{A}{a} -> ¬(¬{AA}{a} & ¬{AB}{a}) ; $hypothesis$ = ¬(¬{A}{a} -> (¬{D}{b} & {C}{b})) ; $proof$ = | __UNKNOWN__ |
0.3 | åªãããšã¯çºçããªã | ¬{D} | fact1: ãŽã«ã
ãŽãªLv.54äºä»¶ã¯èµ·ããªããšããããšã¯åªãããšãšã·ãã·ã«ã
Lv.55äºä»¶ãçããã®ãã£ãããšãªã fact2: ã·ãã·ãLv.16äºä»¶ã¯èµ·ããªã fact3: ãã·ãã·ã«ã
Lv.55äºä»¶ãšãŽããŽãLv.89äºä»¶ãçºçããããšããããšã¯ãåªãããšã¯èµ·ããªãããšããããšãæã fact4: ãŽããŽãLv.89äºä»¶ãèµ·ãã fact5: ãã·ãã·ã«ã
Lv.55äºä»¶ããã³ãŽã«ã
ãŽãªLv.54äºä»¶ãèµ·ããããšããããšã¯ã·ãã·ãLv.16äºä»¶ã¯çããªããšããããšã«èµ·å ãã | fact1: ¬{B} -> ({D} & {A}) fact2: ¬{E} fact3: ({A} & {C}) -> ¬{D} fact4: {C} fact5: ¬{E} -> ({A} & {B}) | [
"fact2 & fact5 -> int1: ã·ãã·ã«ã
Lv.55äºä»¶ãšãŽã«ã
ãŽãªLv.54äºä»¶äž¡æ¹ãšããèµ·ãã; int1 -> int2: ã·ãã·ã«ã
Lv.55äºä»¶ãçãã; int2 & fact4 -> int3: ã·ãã·ã«ã
Lv.55äºä»¶ããã³ãŽããŽãLv.89äºä»¶ã©ã¡ãããèµ·ãã; int3 & fact3 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact4 -> int3: ({A} & {C}); int3 & fact3 -> hypothesis;"
] | åªãããšãçºçãã | {D} | [] | 6 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŽã«ã
ãŽãªLv.54äºä»¶ã¯èµ·ããªããšããããšã¯åªãããšãšã·ãã·ã«ã
Lv.55äºä»¶ãçããã®ãã£ãããšãªã fact2: ã·ãã·ãLv.16äºä»¶ã¯èµ·ããªã fact3: ãã·ãã·ã«ã
Lv.55äºä»¶ãšãŽããŽãLv.89äºä»¶ãçºçããããšããããšã¯ãåªãããšã¯èµ·ããªãããšããããšãæã fact4: ãŽããŽãLv.89äºä»¶ãèµ·ãã fact5: ãã·ãã·ã«ã
Lv.55äºä»¶ããã³ãŽã«ã
ãŽãªLv.54äºä»¶ãèµ·ããããšããããšã¯ã·ãã·ãLv.16äºä»¶ã¯çããªããšããããšã«èµ·å ãã ; $hypothesis$ = åªãããšã¯çºçããªã ; $proof$ = | fact2 & fact5 -> int1: ã·ãã·ã«ã
Lv.55äºä»¶ãšãŽã«ã
ãŽãªLv.54äºä»¶äž¡æ¹ãšããèµ·ãã; int1 -> int2: ã·ãã·ã«ã
Lv.55äºä»¶ãçãã; int2 & fact4 -> int3: ã·ãã·ã«ã
Lv.55äºä»¶ããã³ãŽããŽãLv.89äºä»¶ã©ã¡ãããèµ·ãã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> ({D} & {A}) fact2: ¬{E} fact3: ({A} & {C}) -> ¬{D} fact4: {C} fact5: ¬{E} -> ({A} & {B}) ; $hypothesis$ = ¬{D} ; $proof$ = | fact2 & fact5 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact4 -> int3: ({A} & {C}); int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | ã¿ãã¿ãªLv.13äºä»¶ãèµ·ãããªããŠå ããŠã·ã«ã
ã·ã¡ãLv.5äºä»¶ã¯çºçããªã | (¬{B} & ¬{A}) | fact1: ã¿ãã¿ãªLv.13äºä»¶ã¯èµ·ããªã fact2: è¿ä»ãé£ããšããããšã¯èµ·ããªãããŸããŸã¡ã
Lv.9äºä»¶ã¯èµ·ãããªã fact3: ãããã©ããšããããšã¯çºçããªãããããã¯çŸå³ãããšããããšã¯èµ·ãããªããäž¡æ¹ã§ããããšããããšã¯åœã§ãã | fact1: ¬{B} fact2: (¬{EB} & ¬{AI}) fact3: ¬(¬{AA} v ¬{AB}) | [] | [] | null | null | [] | null | 5 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã¿ãã¿ãªLv.13äºä»¶ã¯èµ·ããªã fact2: è¿ä»ãé£ããšããããšã¯èµ·ããªãããŸããŸã¡ã
Lv.9äºä»¶ã¯èµ·ãããªã fact3: ãããã©ããšããããšã¯çºçããªãããããã¯çŸå³ãããšããããšã¯èµ·ãããªããäž¡æ¹ã§ããããšããããšã¯åœã§ãã ; $hypothesis$ = ã¿ãã¿ãªLv.13äºä»¶ãèµ·ãããªããŠå ããŠã·ã«ã
ã·ã¡ãLv.5äºä»¶ã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B} fact2: (¬{EB} & ¬{AI}) fact3: ¬(¬{AA} v ¬{AB}) ; $hypothesis$ = (¬{B} & ¬{A}) ; $proof$ = | __UNKNOWN__ |
0.3 | åãå
¥ãé£ããšããããšã¯çããªã | ¬{A} | fact1: ãå³æ°ãªããšããããšã¯çºçããªãããšããããšã¯åãå
¥ãé£ããšããããšã«é»ãŸãã fact2: ãå³æ°ãªããšããããšãèµ·ããããŸãã¯æ°æ ããšããããšã¯èµ·ãããªãããšããããšã¯èª€ã£ãŠãã | fact1: {A} -> {B} fact2: ¬({B} v ¬{C}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããåãå
¥ãé£ããšããããšãèµ·ãã; fact1 & assump1 -> int1: å³æ°ãªããšããããšãèµ·ãã; int1 -> int2: å³æ°ãªããšããããšãçããããããã¯æ°æ ããšããããšã¯çããªãããããã¯ã©ã¡ããã ; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 -> int2: ({B} v ¬{C}); int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãå³æ°ãªããšããããšã¯çºçããªãããšããããšã¯åãå
¥ãé£ããšããããšã«é»ãŸãã fact2: ãå³æ°ãªããšããããšãèµ·ããããŸãã¯æ°æ ããšããããšã¯èµ·ãããªãããšããããšã¯èª€ã£ãŠãã ; $hypothesis$ = åãå
¥ãé£ããšããããšã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããåãå
¥ãé£ããšããããšãèµ·ãã; fact1 & assump1 -> int1: å³æ°ãªããšããããšãèµ·ãã; int1 -> int2: å³æ°ãªããšããããšãçããããããã¯æ°æ ããšããããšã¯çããªãããããã¯ã©ã¡ããã ; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: ¬({B} v ¬{C}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; fact1 & assump1 -> int1: {B}; int1 -> int2: ({B} v ¬{C}); int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãŽã¡ã
ãŽã«ãLv.89ã¯é Œãç¡ã | {B}{a} | fact1: ä»®ã«ãã®ãŽã¡ã
ãŽã«ãLv.89ãç
§æºããããããã¯é Œãç¡ããã©ã¡ããã§ãããšãããšãã®ãœããœã¡ãLv.40ã¯æç«ãé£ããªã fact2: ããã®ãœããœã¡ãLv.40ã¯æç«ãé£ãããšããããšã¯èª€ãã§ãªã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: {C}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã¡ã
ãŽã«ãLv.89ã¯é Œãç¡ã; assump1 -> int1: ãã®ãŽã¡ã
ãŽã«ãLv.89ã¯ç
§æºããããããã¯é Œãç¡ãããããã¯äž¡æ¹ã§ãã; int1 & fact1 -> int2: ãã®ãœããœã¡ãLv.40ã¯æç«ãé£ããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | null | null | [] | null | 5 | 3 | 5 | 3 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ä»®ã«ãã®ãŽã¡ã
ãŽã«ãLv.89ãç
§æºããããããã¯é Œãç¡ããã©ã¡ããã§ãããšãããšãã®ãœããœã¡ãLv.40ã¯æç«ãé£ããªã fact2: ããã®ãœããœã¡ãLv.40ã¯æç«ãé£ãããšããããšã¯èª€ãã§ãªã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãŽã¡ã
ãŽã«ãLv.89ã¯é Œãç¡ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŽã¡ã
ãŽã«ãLv.89ã¯é Œãç¡ã; assump1 -> int1: ãã®ãŽã¡ã
ãŽã«ãLv.89ã¯ç
§æºããããããã¯é Œãç¡ãããããã¯äž¡æ¹ã§ãã; int1 & fact1 -> int2: ãã®ãœããœã¡ãLv.40ã¯æç«ãé£ããªã; int2 & fact2 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: {C}{b} ; $hypothesis$ = {B}{a} ; $proof$ = | void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact1 -> int2: ¬{C}{b}; int2 & fact2 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ããããã®ãŸã«ããŸãLv.14ã掻åãæããªããã®ãœã®ãœãLv.91ã¯åé¢ç¬ç«ããããšããããšã¯ééãã | ¬({A}{a} -> {D}{c}) | fact1: ä»®ã«ãã®ã¿ãã¿ãLv.41ããããå§ããªããåŸé£ããªããšããããã®ãœã®ãœãLv.91ã¯åé¢ç¬ç«ãã fact2: ããä»®ã«ãã®ãœã®ãœãLv.91ãæããé£ããªãã°åé¢ç¬ç«ããªããåŸé£ããªã fact3: ããããã®ãŸã«ããŸãLv.14ã掻åãæããšããããã®ãŸã«ããŸãLv.14ã¯åŸé£ã fact4: ããä»®ã«ããã®ã¿ãã¿ãLv.41ã¯åŸé£ããªãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãŸã«ããŸãLv.14ã¯ãããå§ããã掻åãæã fact5: ããä»®ã«ãã®ã¿ãã¿ãLv.41ãåé¢ç¬ç«ãããã©æŽ»åãæããªããšããããã®ãœã®ãœãLv.91ã¯åŸé£ã | fact1: (¬{C}{b} & ¬{B}{b}) -> {D}{c} fact2: {E}{c} -> (¬{D}{c} & ¬{B}{c}) fact3: {A}{a} -> {B}{a} fact4: ¬{B}{b} -> ({C}{a} & {A}{a}) fact5: ({D}{b} & ¬{A}{b}) -> {B}{c} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãŸã«ããŸãLv.14ã¯æŽ»åãæã; fact3 & assump1 -> int1: ãã®ãŸã«ããŸãLv.14ã¯åŸé£ã;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a};"
] | ããã®ãŸã«ããŸãLv.14ã¯ãããå§ããªãããšããããšã¯åã | {C}{a} | [] | 7 | 5 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ãã¿ãLv.41ããããå§ããªããåŸé£ããªããšããããã®ãœã®ãœãLv.91ã¯åé¢ç¬ç«ãã fact2: ããä»®ã«ãã®ãœã®ãœãLv.91ãæããé£ããªãã°åé¢ç¬ç«ããªããåŸé£ããªã fact3: ããããã®ãŸã«ããŸãLv.14ã掻åãæããšããããã®ãŸã«ããŸãLv.14ã¯åŸé£ã fact4: ããä»®ã«ããã®ã¿ãã¿ãLv.41ã¯åŸé£ããªãããšããããšã¯æ¬åœã§ãããšããã°ãã®ãŸã«ããŸãLv.14ã¯ãããå§ããã掻åãæã fact5: ããä»®ã«ãã®ã¿ãã¿ãLv.41ãåé¢ç¬ç«ãããã©æŽ»åãæããªããšããããã®ãœã®ãœãLv.91ã¯åŸé£ã ; $hypothesis$ = ããããã®ãŸã«ããŸãLv.14ã掻åãæããªããã®ãœã®ãœãLv.91ã¯åé¢ç¬ç«ããããšããããšã¯ééãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{C}{b} & ¬{B}{b}) -> {D}{c} fact2: {E}{c} -> (¬{D}{c} & ¬{B}{c}) fact3: {A}{a} -> {B}{a} fact4: ¬{B}{b} -> ({C}{a} & {A}{a}) fact5: ({D}{b} & ¬{A}{b}) -> {B}{c} ; $hypothesis$ = ¬({A}{a} -> {D}{c}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãããéè²ç¡ããªããŠãŸãæ°å転æãããšããããšã¯ãªãããšããããšã¯ééããªãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬((Ex): ¬(¬{E}x & ¬{F}x)) | fact1: ããéè²ç¡ããªããããã«æ°å転æããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããã®ã·ãã·ã«Lv.21ã¯æ·µæºãããã©ç滞ããŸãããªãããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã fact3: éè²ç¡ããªãã¢ã³ã¹ã¿ãŒã§ãã£ãŠå ããŠæ°å転æããªãã¢ã³ã¹ã¿ãŒã¯ãã fact4: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯çœã
ãããªããŠãŸãæŠèŠ³ããªãããšããããšã¯äºå®ãšç°ãªããšããããéè²ç¡ããªãããšããããšã¯æ£ãã fact5: ãã®ãã«ã
ãã«ã
Lv.91ã¯æŠèŠ³ãã fact6: ãã®ãã«ã
ãã«ã
Lv.91ã¯ç滞ããŸãããªããšãããšãéè²ç¡ããªããŠæ°å転æããªãããšããããšã¯æãç«ããªã fact7: ãã®ãã«ã
ãã«ã
Lv.91ã¯ç滞ããŸãããªããšãããšãéè²ç¡ããããŸãã«æ°å転æãããšããããšã¯ãªãããšããããšã¯èª€ãã§ãã fact8: ãã®ãã«ã
ãã«ã
Lv.91ã¯çœã
ãã fact9: ãã®ãã«ã
ãã«ã
Lv.91ãç¡çç¡ããªããšãããšç滞ããŸãããšããããšã¯ãªã fact10: ãã®ãã«ã
ãã«ã
Lv.91ãæŠèŠ³ãããããŸãã«çœã
ãããšããããã®ãã«ã
ãã«ã
Lv.91ã¯ç¡çç¡ããªã | fact1: (Ex): ¬(¬{E}x & {F}x) fact2: ¬({DA}{du} & ¬{D}{du}) fact3: (Ex): (¬{E}x & ¬{F}x) fact4: (x): ¬(¬{B}x & ¬{A}x) -> ¬{E}x fact5: {A}{a} fact6: ¬{D}{a} -> ¬(¬{E}{a} & ¬{F}{a}) fact7: ¬{D}{a} -> ¬({E}{a} & ¬{F}{a}) fact8: {B}{a} fact9: ¬{C}{a} -> ¬{D}{a} fact10: ({A}{a} & {B}{a}) -> ¬{C}{a} | [
"fact5 & fact8 -> int1: ãã®ãã«ã
ãã«ã
Lv.91ã¯æŠèŠ³ãããçœã
ãã; int1 & fact10 -> int2: ãã®ãã«ã
ãã«ã
Lv.91ã¯ç¡çç¡ããªã; int2 & fact9 -> int3: ããã®ãã«ã
ãã«ã
Lv.91ã¯ç滞ããŸãããšããããšã¯ãªãããšããããšã¯çå®ã§ãã; int3 & fact6 -> int4: ããã®ãã«ã
ãã«ã
Lv.91ã¯éè²ç¡ããªããŠããã¯æ°å転æããªãããšããããšã¯åœã ; int4 -> hypothesis;"
] | [
"fact5 & fact8 -> int1: ({A}{a} & {B}{a}); int1 & fact10 -> int2: ¬{C}{a}; int2 & fact9 -> int3: ¬{D}{a}; int3 & fact6 -> int4: ¬(¬{E}{a} & ¬{F}{a}); int4 -> hypothesis;"
] | ãã®ãŽããŽã«ãLv.77ã¯éè²ç¡ããªã | ¬{E}{fo} | [
"fact11 -> int5: ããããã®ãŽããŽã«ãLv.77ã¯çœã
ãããªããŠãŸãæŠèŠ³ããªãããšããããšã¯æãç«ããªããšãããšãã®ãŽããŽã«ãLv.77ã¯éè²ç¡ããªã;"
] | 5 | 5 | 5 | 5 | 5 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããéè²ç¡ããªããããã«æ°å転æããããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããã®ã·ãã·ã«Lv.21ã¯æ·µæºãããã©ç滞ããŸãããªãããšããããšã¯ç¢ºãã ããšããããšã¯æãç«ããªã fact3: éè²ç¡ããªãã¢ã³ã¹ã¿ãŒã§ãã£ãŠå ããŠæ°å転æããªãã¢ã³ã¹ã¿ãŒã¯ãã fact4: ä»®ã«ããªãããã®ã¢ã³ã¹ã¿ãŒã¯çœã
ãããªããŠãŸãæŠèŠ³ããªãããšããããšã¯äºå®ãšç°ãªããšããããéè²ç¡ããªãããšããããšã¯æ£ãã fact5: ãã®ãã«ã
ãã«ã
Lv.91ã¯æŠèŠ³ãã fact6: ãã®ãã«ã
ãã«ã
Lv.91ã¯ç滞ããŸãããªããšãããšãéè²ç¡ããªããŠæ°å転æããªãããšããããšã¯æãç«ããªã fact7: ãã®ãã«ã
ãã«ã
Lv.91ã¯ç滞ããŸãããªããšãããšãéè²ç¡ããããŸãã«æ°å転æãããšããããšã¯ãªãããšããããšã¯èª€ãã§ãã fact8: ãã®ãã«ã
ãã«ã
Lv.91ã¯çœã
ãã fact9: ãã®ãã«ã
ãã«ã
Lv.91ãç¡çç¡ããªããšãããšç滞ããŸãããšããããšã¯ãªã fact10: ãã®ãã«ã
ãã«ã
Lv.91ãæŠèŠ³ãããããŸãã«çœã
ãããšããããã®ãã«ã
ãã«ã
Lv.91ã¯ç¡çç¡ããªã ; $hypothesis$ = ãããéè²ç¡ããªããŠãŸãæ°å転æãããšããããšã¯ãªãããšããããšã¯ééããªãã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact5 & fact8 -> int1: ãã®ãã«ã
ãã«ã
Lv.91ã¯æŠèŠ³ãããçœã
ãã; int1 & fact10 -> int2: ãã®ãã«ã
ãã«ã
Lv.91ã¯ç¡çç¡ããªã; int2 & fact9 -> int3: ããã®ãã«ã
ãã«ã
Lv.91ã¯ç滞ããŸãããšããããšã¯ãªãããšããããšã¯çå®ã§ãã; int3 & fact6 -> int4: ããã®ãã«ã
ãã«ã
Lv.91ã¯éè²ç¡ããªããŠããã¯æ°å転æããªãããšããããšã¯åœã ; int4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): ¬(¬{E}x & {F}x) fact2: ¬({DA}{du} & ¬{D}{du}) fact3: (Ex): (¬{E}x & ¬{F}x) fact4: (x): ¬(¬{B}x & ¬{A}x) -> ¬{E}x fact5: {A}{a} fact6: ¬{D}{a} -> ¬(¬{E}{a} & ¬{F}{a}) fact7: ¬{D}{a} -> ¬({E}{a} & ¬{F}{a}) fact8: {B}{a} fact9: ¬{C}{a} -> ¬{D}{a} fact10: ({A}{a} & {B}{a}) -> ¬{C}{a} ; $hypothesis$ = ¬((Ex): ¬(¬{E}x & ¬{F}x)) ; $proof$ = | fact5 & fact8 -> int1: ({A}{a} & {B}{a}); int1 & fact10 -> int2: ¬{C}{a}; int2 & fact9 -> int3: ¬{D}{a}; int3 & fact6 -> int4: ¬(¬{E}{a} & ¬{F}{a}); int4 -> hypothesis; __DISPROVED__ |
0.3 | èããšããããšããã³ã·ãªã·ã¡ãLv.37äºä»¶ãçãã | ({A} & {B}) | fact1: ã·ãªã·ã¡ãLv.37äºä»¶ãçºçãã fact2: èããšããããšãèµ·ãã | fact1: {B} fact2: {A} | [
"fact2 -> int1: èããšããããšãèµ·ãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ã·ãªã·ã¡ãLv.37äºä»¶ãçºçãã fact2: èããšããããšãèµ·ãã ; $hypothesis$ = èããšããããšããã³ã·ãªã·ã¡ãLv.37äºä»¶ãçãã ; $proof$ = | fact2 -> int1: èããšããããšãèµ·ãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: {A} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æã | {C}{a} | fact1: ãã®ã·ãã·ã¡ãLv.37ãã²ããé·ããªããŠæ£èŠåºæ¥ãªããšããããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æ£èŠåºæ¥ãªã fact2: ãã®ãœããœã«Lv.0ã¯éè¿ã fact3: ãã®ãŸã«ã
ãŸã«ã
Lv.72ãéè¿ããšããããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æã fact4: ãããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å¿äœç¡ããšããã°ããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯éè¿ãããšããããšã¯æ¬åœã fact5: ä»®ã«ãã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å ªãæããªããšããããçšå¿ããããšããããšã¯æãç«ã€ fact6: ãããã®ãŸã«ã
ãŸã«ã
Lv.72ãå ªãæããªããªããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å¿äœç¡ããããŸãã«çšå¿ãã fact7: ããããªãããã®ã¢ã³ã¹ã¿ãŒãæ£èŠåºæ¥ãªããªãã°å ªãæããªãããããéè¿ã | fact1: (¬{E}{b} & ¬{D}{b}) -> ¬{D}{a} fact2: {B}{ik} fact3: {B}{a} -> {C}{a} fact4: {AA}{a} -> {B}{a} fact5: ¬{A}{a} -> {AB}{a} fact6: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact7: (x): ¬{D}x -> (¬{A}x & {B}x) | [] | [] | ãã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æããªã | ¬{C}{a} | [
"fact8 -> int1: ããä»®ã«ããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æ£èŠåºæ¥ãããšããããšã¯ééããªããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å ªãæããšããããšã¯ãªããéè¿ã;"
] | 5 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ãã·ã¡ãLv.37ãã²ããé·ããªããŠæ£èŠåºæ¥ãªããšããããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æ£èŠåºæ¥ãªã fact2: ãã®ãœããœã«Lv.0ã¯éè¿ã fact3: ãã®ãŸã«ã
ãŸã«ã
Lv.72ãéè¿ããšããããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æã fact4: ãããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å¿äœç¡ããšããã°ããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯éè¿ãããšããããšã¯æ¬åœã fact5: ä»®ã«ãã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å ªãæããªããšããããçšå¿ããããšããããšã¯æãç«ã€ fact6: ãããã®ãŸã«ã
ãŸã«ã
Lv.72ãå ªãæããªããªããã®ãŸã«ã
ãŸã«ã
Lv.72ã¯å¿äœç¡ããããŸãã«çšå¿ãã fact7: ããããªãããã®ã¢ã³ã¹ã¿ãŒãæ£èŠåºæ¥ãªããªãã°å ªãæããªãããããéè¿ã ; $hypothesis$ = ãã®ãŸã«ã
ãŸã«ã
Lv.72ã¯æã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{E}{b} & ¬{D}{b}) -> ¬{D}{a} fact2: {B}{ik} fact3: {B}{a} -> {C}{a} fact4: {AA}{a} -> {B}{a} fact5: ¬{A}{a} -> {AB}{a} fact6: ¬{A}{a} -> ({AA}{a} & {AB}{a}) fact7: (x): ¬{D}x -> (¬{A}x & {B}x) ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŸããŸã«ã
Lv.7ã¯åãŸãããªã | ¬{F}{c} | fact1: ãã®ãŽããŽã«Lv.5ã¯åŸ¡æ¿ãããã€éã fact2: ãã®ãŸããŸãªLv.56ã¯ããã€ãããã fact3: ãããã®ãŸããŸãªLv.56ãæãåºæ·±ãããã®äžãããããã€ãããããªãã°ãã®ãŸããŸã«ã
Lv.7ã¯åãŸãããªã fact4: ãã®ãŽããŽã«Lv.5ã埡æ¿ããšããããã®ãŽããŽã«Lv.5ã¯æ··ã蟌ã fact5: ãããã®ãŽããŽã«Lv.5ãæ··ã蟌ãã°ãã®ãŸããŸãªLv.56ã¯æãåºæ·±ã | fact1: ({A}{a} & {B}{a}) fact2: {E}{b} fact3: ({D}{b} & {E}{b}) -> ¬{F}{c} fact4: {A}{a} -> {C}{a} fact5: {C}{a} -> {D}{b} | [
"fact1 -> int1: ãã®ãŽããŽã«Lv.5ã¯åŸ¡æ¿ã; int1 & fact4 -> int2: ãã®ãŽããŽã«Lv.5ã¯æ··ã蟌ã; int2 & fact5 -> int3: ãã®ãŸããŸãªLv.56ã¯æãåºæ·±ã; int3 & fact2 -> int4: ãã®ãŸããŸãªLv.56ã¯æãåºæ·±ããŠããã¯ããã€ãããã; int4 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact4 -> int2: {C}{a}; int2 & fact5 -> int3: {D}{b}; int3 & fact2 -> int4: ({D}{b} & {E}{b}); int4 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽããŽã«Lv.5ã¯åŸ¡æ¿ãããã€éã fact2: ãã®ãŸããŸãªLv.56ã¯ããã€ãããã fact3: ãããã®ãŸããŸãªLv.56ãæãåºæ·±ãããã®äžãããããã€ãããããªãã°ãã®ãŸããŸã«ã
Lv.7ã¯åãŸãããªã fact4: ãã®ãŽããŽã«Lv.5ã埡æ¿ããšããããã®ãŽããŽã«Lv.5ã¯æ··ã蟌ã fact5: ãããã®ãŽããŽã«Lv.5ãæ··ã蟌ãã°ãã®ãŸããŸãªLv.56ã¯æãåºæ·±ã ; $hypothesis$ = ãã®ãŸããŸã«ã
Lv.7ã¯åãŸãããªã ; $proof$ = | fact1 -> int1: ãã®ãŽããŽã«Lv.5ã¯åŸ¡æ¿ã; int1 & fact4 -> int2: ãã®ãŽããŽã«Lv.5ã¯æ··ã蟌ã; int2 & fact5 -> int3: ãã®ãŸããŸãªLv.56ã¯æãåºæ·±ã; int3 & fact2 -> int4: ãã®ãŸããŸãªLv.56ã¯æãåºæ·±ããŠããã¯ããã€ãããã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {E}{b} fact3: ({D}{b} & {E}{b}) -> ¬{F}{c} fact4: {A}{a} -> {C}{a} fact5: {C}{a} -> {D}{b} ; $hypothesis$ = ¬{F}{c} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact4 -> int2: {C}{a}; int2 & fact5 -> int3: {D}{b}; int3 & fact2 -> int4: ({D}{b} & {E}{b}); int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãLv.84ã¯çæãããçºãæž¡ããªã | ({F}{a} & ¬{E}{a}) | fact1: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã枬ããªããªããããèšãå«ããããã®äžããã¯åãæããªãããšããããšã¯äºå®ã fact2: ããä»®ã«ãã®ãŸããŸãLv.84ãè霢åããããããã¯åŸ¡ææ¡ãããªããã®ãŸããŸãLv.84ã¯çºãæž¡ããªã fact3: ãã®ãŸããŸãLv.84ã¯çæãã fact4: ãã®ãŸããŸãLv.84ã¯æž¬ããããã€ããã¯ãèŸã | fact1: (x): ¬{A}x -> ({FO}x & ¬{CT}x) fact2: ({C}{a} v {D}{a}) -> ¬{E}{a} fact3: {F}{a} fact4: ({A}{a} & {B}{a}) | [
"fact4 -> int1: ãã®ãŸããŸãLv.84ã¯ãèŸã;"
] | [
"fact4 -> int1: {B}{a};"
] | ãã®ã¿ãã¿ãLv.81ã¯èšãå«ãããåãæããªã | ({FO}{s} & ¬{CT}{s}) | [
"fact5 -> int2: ä»®ã«ãã®ã¿ãã¿ãLv.81ã枬ããªããšããã°ããã¯èšãå«ãããåãæããªã;"
] | 4 | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã枬ããªããªããããèšãå«ããããã®äžããã¯åãæããªãããšããããšã¯äºå®ã fact2: ããä»®ã«ãã®ãŸããŸãLv.84ãè霢åããããããã¯åŸ¡ææ¡ãããªããã®ãŸããŸãLv.84ã¯çºãæž¡ããªã fact3: ãã®ãŸããŸãLv.84ã¯çæãã fact4: ãã®ãŸããŸãLv.84ã¯æž¬ããããã€ããã¯ãèŸã ; $hypothesis$ = ãã®ãŸããŸãLv.84ã¯çæãããçºãæž¡ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{A}x -> ({FO}x & ¬{CT}x) fact2: ({C}{a} v {D}{a}) -> ¬{E}{a} fact3: {F}{a} fact4: ({A}{a} & {B}{a}) ; $hypothesis$ = ({F}{a} & ¬{E}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽãªãŽã«Lv.68ã¯äœã | {E}{c} | fact1: ãããã®ã¿ãã¿ãªLv.70ãå€ãæããŠãããéãæããªããã®ãŽãªãŽã«Lv.68ã¯äœããšããããšã¯ãªã fact2: ããã®ãœããœãLv.27ã¯çœã£ãœãããšããããšã¯ç¢ºãã§ãã fact3: ããã®ãœããœãLv.27ã¯èœåããããšããããšã¯æ¬åœã§ãã fact4: ãã®ãŽãªãŽã«Lv.68ã¯æšããããŠå€ãæã fact5: ãããããã®ãŽãªãŽã«Lv.68ã¯çœã£ãœãããšããããšã¯æãç«ã€ãšããã°ãã®ãŽãªãŽã«Lv.68ã¯äœãããšããããšã¯çå®ã§ãã fact6: ãã®ã¿ãã¿ãªLv.70ã¯éãæã fact7: çœã£ãœãã¢ã³ã¹ã¿ãŒãèœåãããªããã®ã¿ãã¿ãªLv.70ã¯å€ãæã fact8: ãçœã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact9: ããä»®ã«ãã®ãŽãªãŽã«Lv.68ãå€ãæããéãæããšãããšãã®ã¿ãã¿ãªLv.70ã¯äœããªã | fact1: ({C}{b} & {D}{b}) -> ¬{E}{c} fact2: {A}{a} fact3: {B}{a} fact4: ({EQ}{c} & {C}{c}) fact5: {A}{c} -> {E}{c} fact6: {D}{b} fact7: (x): ({A}x & {B}x) -> {C}{b} fact8: (Ex): {A}x fact9: ({C}{c} & {D}{c}) -> ¬{E}{b} | [
"fact2 & fact3 -> int1: ãã®ãœããœãLv.27ã¯çœã£ãœããããã«èœåãã; int1 -> int2: ãçœã£ãœããŠèœåãããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact7 -> int3: ãã®ã¿ãã¿ãªLv.70ã¯å€ãæã; int3 & fact6 -> int4: ãã®ã¿ãã¿ãªLv.70ã¯å€ãæãããããéãæã; int4 & fact1 -> hypothesis;"
] | [
"fact2 & fact3 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact7 -> int3: {C}{b}; int3 & fact6 -> int4: ({C}{b} & {D}{b}); int4 & fact1 -> hypothesis;"
] | ãã®ãŽãªãŽã«Lv.68ã¯äœã | {E}{c} | [] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ã¿ãã¿ãªLv.70ãå€ãæããŠãããéãæããªããã®ãŽãªãŽã«Lv.68ã¯äœããšããããšã¯ãªã fact2: ããã®ãœããœãLv.27ã¯çœã£ãœãããšããããšã¯ç¢ºãã§ãã fact3: ããã®ãœããœãLv.27ã¯èœåããããšããããšã¯æ¬åœã§ãã fact4: ãã®ãŽãªãŽã«Lv.68ã¯æšããããŠå€ãæã fact5: ãããããã®ãŽãªãŽã«Lv.68ã¯çœã£ãœãããšããããšã¯æãç«ã€ãšããã°ãã®ãŽãªãŽã«Lv.68ã¯äœãããšããããšã¯çå®ã§ãã fact6: ãã®ã¿ãã¿ãªLv.70ã¯éãæã fact7: çœã£ãœãã¢ã³ã¹ã¿ãŒãèœåãããªããã®ã¿ãã¿ãªLv.70ã¯å€ãæã fact8: ãçœã£ãœããã¢ã³ã¹ã¿ãŒã¯ãã fact9: ããä»®ã«ãã®ãŽãªãŽã«Lv.68ãå€ãæããéãæããšãããšãã®ã¿ãã¿ãªLv.70ã¯äœããªã ; $hypothesis$ = ãã®ãŽãªãŽã«Lv.68ã¯äœã ; $proof$ = | fact2 & fact3 -> int1: ãã®ãœããœãLv.27ã¯çœã£ãœããããã«èœåãã; int1 -> int2: ãçœã£ãœããŠèœåãããã¢ã³ã¹ã¿ãŒã¯ãã; int2 & fact7 -> int3: ãã®ã¿ãã¿ãªLv.70ã¯å€ãæã; int3 & fact6 -> int4: ãã®ã¿ãã¿ãªLv.70ã¯å€ãæãããããéãæã; int4 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({C}{b} & {D}{b}) -> ¬{E}{c} fact2: {A}{a} fact3: {B}{a} fact4: ({EQ}{c} & {C}{c}) fact5: {A}{c} -> {E}{c} fact6: {D}{b} fact7: (x): ({A}x & {B}x) -> {C}{b} fact8: (Ex): {A}x fact9: ({C}{c} & {D}{c}) -> ¬{E}{b} ; $hypothesis$ = {E}{c} ; $proof$ = | fact2 & fact3 -> int1: ({A}{a} & {B}{a}); int1 -> int2: (Ex): ({A}x & {B}x); int2 & fact7 -> int3: {C}{b}; int3 & fact6 -> int4: ({C}{b} & {D}{b}); int4 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ããã®ãŽã¡ããŽãLv.26ã¯èããããªã¹ãã¯ãããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | ¬({E}{b} & {F}{b}) | fact1: ãããã¢ã³ã¹ã¿ãŒã¯ç²ã£ãœããŠããã«æªè³¢ãããšããããšã¯æãç«ããªããªãããã¯ç²ã£ãœããªã fact2: ãç²ã£ãœããªãããããããæ°ç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãç²ã£ãœããŠãã€ããæ°ç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç²ã£ãœããªããã©ããæ°ç¡ã fact5: ãã®ãŽã¡ããŽãLv.26ã¯ãªã¹ãã¯ããã fact6: ããä»®ã«ãã®ã·ã¡ãã·ãLv.9ãè¿ãããšãããšãã®ãŽã¡ããŽãLv.26ã¯èãã fact7: ãããã®ã·ã¡ãã·ãLv.9ãæªè³¢ããªããšãããããã¯è¿ãã fact8: ä»®ã«ç²ã£ãœããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãããæ°ç¡ããªããªãã°ãã®ã·ã¡ãã·ãLv.9ã¯æªè³¢ããªã | fact1: (x): ¬({A}x & {C}x) -> ¬{A}x fact2: (Ex): (¬{A}x & ¬{B}x) fact3: (Ex): ({A}x & ¬{B}x) fact4: (Ex): (¬{A}x & {B}x) fact5: {F}{b} fact6: {D}{a} -> {E}{b} fact7: ¬{C}{a} -> {D}{a} fact8: (x): (¬{A}x & ¬{B}x) -> ¬{C}{a} | [
"fact2 & fact8 -> int1: ãã®ã·ã¡ãã·ãLv.9ã¯æªè³¢ããªã; int1 & fact7 -> int2: ãã®ã·ã¡ãã·ãLv.9ã¯è¿ãã; int2 & fact6 -> int3: ãã®ãŽã¡ããŽãLv.26ã¯èãã; int3 & fact5 -> hypothesis;"
] | [
"fact2 & fact8 -> int1: ¬{C}{a}; int1 & fact7 -> int2: {D}{a}; int2 & fact6 -> int3: {E}{b}; int3 & fact5 -> hypothesis;"
] | ãªãããã®ã¢ã³ã¹ã¿ãŒã¯æ¥æ¬äººããããªããå ããŠããã¯æåãããšããããšã¯ãªã | (Ex): (¬{J}x & ¬{HI}x) | [
"fact9 -> int4: ä»®ã«ããã®ãŽã¡ããŽãLv.26ã¯ç²ã£ãœãããã®äžæªè³¢ãããšããããšã¯æ¬åœã§ãªããšããããã®ãŽã¡ããŽãLv.26ã¯ç²ã£ãœããšããããšã¯ãªã;"
] | 6 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã¢ã³ã¹ã¿ãŒã¯ç²ã£ãœããŠããã«æªè³¢ãããšããããšã¯æãç«ããªããªãããã¯ç²ã£ãœããªã fact2: ãç²ã£ãœããªãããããããæ°ç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ãç²ã£ãœããŠãã€ããæ°ç¡ããªããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ç²ã£ãœããªããã©ããæ°ç¡ã fact5: ãã®ãŽã¡ããŽãLv.26ã¯ãªã¹ãã¯ããã fact6: ããä»®ã«ãã®ã·ã¡ãã·ãLv.9ãè¿ãããšãããšãã®ãŽã¡ããŽãLv.26ã¯èãã fact7: ãããã®ã·ã¡ãã·ãLv.9ãæªè³¢ããªããšãããããã¯è¿ãã fact8: ä»®ã«ç²ã£ãœããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒãããæ°ç¡ããªããªãã°ãã®ã·ã¡ãã·ãLv.9ã¯æªè³¢ããªã ; $hypothesis$ = ããã®ãŽã¡ããŽãLv.26ã¯èããããªã¹ãã¯ãããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $proof$ = | fact2 & fact8 -> int1: ãã®ã·ã¡ãã·ãLv.9ã¯æªè³¢ããªã; int1 & fact7 -> int2: ãã®ã·ã¡ãã·ãLv.9ã¯è¿ãã; int2 & fact6 -> int3: ãã®ãŽã¡ããŽãLv.26ã¯èãã; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬({A}x & {C}x) -> ¬{A}x fact2: (Ex): (¬{A}x & ¬{B}x) fact3: (Ex): ({A}x & ¬{B}x) fact4: (Ex): (¬{A}x & {B}x) fact5: {F}{b} fact6: {D}{a} -> {E}{b} fact7: ¬{C}{a} -> {D}{a} fact8: (x): (¬{A}x & ¬{B}x) -> ¬{C}{a} ; $hypothesis$ = ¬({E}{b} & {F}{b}) ; $proof$ = | fact2 & fact8 -> int1: ¬{C}{a}; int1 & fact7 -> int2: {D}{a}; int2 & fact6 -> int3: {E}{b}; int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœããœã®Lv.12ã¯æµãéã | {D}{b} | fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯ããããããšããããšã¯ãªã fact2: ãã®ã¿ãã¿ãLv.33ãå€åãæããšããããã®ãœããœã®Lv.12ã¯æµãæã fact3: ãããããããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ä»®ã«ãããããããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã¿ãã¿ãLv.33ã¯æ»ãæããããã¯å€åãæã fact5: ä»®ã«ãã®ãœããœã®Lv.12ãæµãæããšããããã®ãœããœã®Lv.12ã¯æµãéã | fact1: (Ex): ¬{E}x fact2: {B}{a} -> {C}{b} fact3: (Ex): {E}x fact4: (x): ¬{E}x -> ({A}{a} & {B}{a}) fact5: {C}{b} -> {D}{b} | [
"fact4 & fact1 -> int1: ãã®ã¿ãã¿ãLv.33ã¯æ»ãæãããã€å€åãæã; int1 -> int2: ãã®ã¿ãã¿ãLv.33ã¯å€åãæã; int2 & fact2 -> int3: ãã®ãœããœã®Lv.12ã¯æµãæã; int3 & fact5 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact2 -> int3: {C}{b}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: äœããã®ã¢ã³ã¹ã¿ãŒã¯ããããããšããããšã¯ãªã fact2: ãã®ã¿ãã¿ãLv.33ãå€åãæããšããããã®ãœããœã®Lv.12ã¯æµãæã fact3: ãããããããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ä»®ã«ãããããããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã¿ãã¿ãLv.33ã¯æ»ãæããããã¯å€åãæã fact5: ä»®ã«ãã®ãœããœã®Lv.12ãæµãæããšããããã®ãœããœã®Lv.12ã¯æµãéã ; $hypothesis$ = ãã®ãœããœã®Lv.12ã¯æµãéã ; $proof$ = | fact4 & fact1 -> int1: ãã®ã¿ãã¿ãLv.33ã¯æ»ãæãããã€å€åãæã; int1 -> int2: ãã®ã¿ãã¿ãLv.33ã¯å€åãæã; int2 & fact2 -> int3: ãã®ãœããœã®Lv.12ã¯æµãæã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): ¬{E}x fact2: {B}{a} -> {C}{b} fact3: (Ex): {E}x fact4: (x): ¬{E}x -> ({A}{a} & {B}{a}) fact5: {C}{b} -> {D}{b} ; $hypothesis$ = {D}{b} ; $proof$ = | fact4 & fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact2 -> int3: {C}{b}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãªã·ã¡ãLv.61ã¯æ±ãåããªã | ¬{F}{c} | fact1: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯åãé£ã fact2: ãããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯åãé£ããŠä»ãé£ããªãã°ããã®ã·ãªã·ã¡ãLv.61ã¯æ±ãåããªãããšããããšã¯æãç«ã€ fact3: ãã®ããªãã«Lv.24ã¯çŽãããããŠèŸã fact4: ããããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ãã€ãã£ãããããªãã°ããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ä»ãé£ãããšããããšã¯æãç«ã€ fact5: ãããã®ããªãã«Lv.24ã¯èŸããšãããããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ãã€ãã£ããããããšããããšã¯äºå®ãšç°ãªããªã | fact1: {E}{b} fact2: ({E}{b} & {D}{b}) -> ¬{F}{c} fact3: ({A}{a} & {B}{a}) fact4: {C}{b} -> {D}{b} fact5: {B}{a} -> {C}{b} | [
"fact3 -> int1: ãã®ããªãã«Lv.24ã¯èŸã; int1 & fact5 -> int2: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ãã€ãã£ãããã; int2 & fact4 -> int3: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ä»ãé£ã; int3 & fact1 -> int4: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯åãé£ããä»ãé£ã; int4 & fact2 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{b}; int2 & fact4 -> int3: {D}{b}; int3 & fact1 -> int4: ({E}{b} & {D}{b}); int4 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯åãé£ã fact2: ãããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯åãé£ããŠä»ãé£ããªãã°ããã®ã·ãªã·ã¡ãLv.61ã¯æ±ãåããªãããšããããšã¯æãç«ã€ fact3: ãã®ããªãã«Lv.24ã¯çŽãããããŠèŸã fact4: ããããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ãã€ãã£ãããããªãã°ããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ä»ãé£ãããšããããšã¯æãç«ã€ fact5: ãããã®ããªãã«Lv.24ã¯èŸããšãããããã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ãã€ãã£ããããããšããããšã¯äºå®ãšç°ãªããªã ; $hypothesis$ = ãã®ã·ãªã·ã¡ãLv.61ã¯æ±ãåããªã ; $proof$ = | fact3 -> int1: ãã®ããªãã«Lv.24ã¯èŸã; int1 & fact5 -> int2: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ãã€ãã£ãããã; int2 & fact4 -> int3: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯ä»ãé£ã; int3 & fact1 -> int4: ãã®ãŽã¡ã
ãŽã¡ãLv.41ã¯åãé£ããä»ãé£ã; int4 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {E}{b} fact2: ({E}{b} & {D}{b}) -> ¬{F}{c} fact3: ({A}{a} & {B}{a}) fact4: {C}{b} -> {D}{b} fact5: {B}{a} -> {C}{b} ; $hypothesis$ = ¬{F}{c} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact5 -> int2: {C}{b}; int2 & fact4 -> int3: {D}{b}; int3 & fact1 -> int4: ({E}{b} & {D}{b}); int4 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽãLv.74ã¯å¯ã
ããããããã¯ç¬ãå ãããããŸãã¯äž¡æ¹ãšãã§ãã | ({D}{aa} v {C}{aa}) | fact1: ãã®ãŽããŽãLv.74ã¯åŸ¡èŸããªã fact2: ãã®ãŽããŽãLv.74ã¯è¥è
ããããšããããšã¯ãªã fact3: ããä»®ã«ãã®ãŽã¡ããŽãLv.33ãåžã蟌ãŸãªããªããã®ãŽã¡ããŽãLv.33ã¯èŸæ°èããªã fact4: 埡èŸããªãã¢ã³ã¹ã¿ãŒã¯åžã蟌ãäžæ¹ã§åŠ»åž¯ããªã fact5: ããããã®ãŽããŽãLv.74ã¯å°è±¡æ·±ããªãããšããããšã¯æãç«ããªããšããããç¬ãå ãããããšããããšã¯ç¢ºãã§ãã | fact1: ¬{A}{aa} fact2: ¬{IC}{aa} fact3: ¬{AA}{gh} -> ¬{EH}{gh} fact4: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact5: {B}{aa} -> {C}{aa} | [
"fact4 -> int1: ãããã®ãŽããŽãLv.74ã埡èŸããªããªãã°ãã®ãŽããŽãLv.74ã¯åžã蟌ãããããããã¯åŠ»åž¯ããªã; int1 & fact1 -> int2: ãã®ãŽããŽãLv.74ã¯åžã蟌ãããã©åŠ»åž¯ãããšããããšã¯ãªã;"
] | [
"fact4 -> int1: ¬{A}{aa} -> ({AA}{aa} & ¬{AB}{aa}); int1 & fact1 -> int2: ({AA}{aa} & ¬{AB}{aa});"
] | null | null | [] | null | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ãŽããŽãLv.74ã¯åŸ¡èŸããªã fact2: ãã®ãŽããŽãLv.74ã¯è¥è
ããããšããããšã¯ãªã fact3: ããä»®ã«ãã®ãŽã¡ããŽãLv.33ãåžã蟌ãŸãªããªããã®ãŽã¡ããŽãLv.33ã¯èŸæ°èããªã fact4: 埡èŸããªãã¢ã³ã¹ã¿ãŒã¯åžã蟌ãäžæ¹ã§åŠ»åž¯ããªã fact5: ããããã®ãŽããŽãLv.74ã¯å°è±¡æ·±ããªãããšããããšã¯æãç«ããªããšããããç¬ãå ãããããšããããšã¯ç¢ºãã§ãã ; $hypothesis$ = ãã®ãŽããŽãLv.74ã¯å¯ã
ããããããã¯ç¬ãå ãããããŸãã¯äž¡æ¹ãšãã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{aa} fact2: ¬{IC}{aa} fact3: ¬{AA}{gh} -> ¬{EH}{gh} fact4: (x): ¬{A}x -> ({AA}x & ¬{AB}x) fact5: {B}{aa} -> {C}{aa} ; $hypothesis$ = ({D}{aa} v {C}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãã«ãããLv.76ã¯ç·ã®åããããªã | ¬{F}{b} | fact1: ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯åŒã³æããããã¯åãã fact2: ããã®ã¿ã¡ãã¿ã«ãLv.69ãåããã°ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯æžãæãããšããããšã¯æãç«ã€ fact3: åŒã³æãã¢ã³ã¹ã¿ãŒã¯ç·ã®åããã fact4: ããä»®ã«ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯æžãæããªãã°ããã®ãã«ãããLv.76ã¯å¹ãä»ããªãããŸãã¯ããã¯çšç¡ãããšããããšã¯èª€ã£ãŠãã fact5: åŒã³æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç·ã®åããããªã fact6: ããä»®ã«ãããã®ãã«ãããLv.76ã¯å¹ãä»ããªãããããã¯çšç¡ãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªãããšããããšã¯çå®ã ãšãããšããã®ãã«ãããLv.76ã¯ç·ã®åãããããšããããšã¯æ£ãã | fact1: ({A}{a} & {B}{a}) fact2: {B}{a} -> {C}{a} fact3: (x): {A}x -> {F}x fact4: {C}{a} -> ¬(¬{E}{b} v {D}{b}) fact5: (x): ¬{A}x -> ¬{F}x fact6: ¬(¬{E}{b} v {D}{b}) -> {F}{b} | [
"fact1 -> int1: ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯åãã; int1 & fact2 -> int2: ããã®ã¿ã¡ãã¿ã«ãLv.69ã¯æžãæãããšããããšã¯æ¬åœã ; int2 & fact4 -> int3: ããã®ãã«ãããLv.76ã¯å¹ãä»ããªãããããã¯ããã¯çšç¡ãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã; int3 & fact6 -> hypothesis;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact4 -> int3: ¬(¬{E}{b} v {D}{b}); int3 & fact6 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯ç·ã®åããã | {F}{a} | [
"fact7 -> int4: ãã®ã¿ã¡ãã¿ã«ãLv.69ãåŒã³æããªããã®ã¿ã¡ãã¿ã«ãLv.69ã¯ç·ã®åããã;"
] | 5 | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯åŒã³æããããã¯åãã fact2: ããã®ã¿ã¡ãã¿ã«ãLv.69ãåããã°ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯æžãæãããšããããšã¯æãç«ã€ fact3: åŒã³æãã¢ã³ã¹ã¿ãŒã¯ç·ã®åããã fact4: ããä»®ã«ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯æžãæããªãã°ããã®ãã«ãããLv.76ã¯å¹ãä»ããªãããŸãã¯ããã¯çšç¡ãããšããããšã¯èª€ã£ãŠãã fact5: åŒã³æããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯ç·ã®åããããªã fact6: ããä»®ã«ãããã®ãã«ãããLv.76ã¯å¹ãä»ããªãããããã¯çšç¡ãããããã¯ã©ã¡ããã ããšããããšã¯æãç«ããªãããšããããšã¯çå®ã ãšãããšããã®ãã«ãããLv.76ã¯ç·ã®åãããããšããããšã¯æ£ãã ; $hypothesis$ = ãã®ãã«ãããLv.76ã¯ç·ã®åããããªã ; $proof$ = | fact1 -> int1: ãã®ã¿ã¡ãã¿ã«ãLv.69ã¯åãã; int1 & fact2 -> int2: ããã®ã¿ã¡ãã¿ã«ãLv.69ã¯æžãæãããšããããšã¯æ¬åœã ; int2 & fact4 -> int3: ããã®ãã«ãããLv.76ã¯å¹ãä»ããªãããããã¯ããã¯çšç¡ãããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãã; int3 & fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {B}{a} -> {C}{a} fact3: (x): {A}x -> {F}x fact4: {C}{a} -> ¬(¬{E}{b} v {D}{b}) fact5: (x): ¬{A}x -> ¬{F}x fact6: ¬(¬{E}{b} v {D}{b}) -> {F}{b} ; $hypothesis$ = ¬{F}{b} ; $proof$ = | fact1 -> int1: {B}{a}; int1 & fact2 -> int2: {C}{a}; int2 & fact4 -> int3: ¬(¬{E}{b} v {D}{b}); int3 & fact6 -> hypothesis; __DISPROVED__ |
0.3 | ã·ã¡ãã·ãLv.21äºä»¶ã¯èµ·ããªã | ¬{A} | fact1: ä»®ã«å
¥æãæããšããããšã¯èµ·ãããªããªãã°ç滞ããŸãããšããããšãšãŽã«ãŽã«ã
Lv.26äºä»¶ã©ã¡ãããçãã fact2: ã湿æ°æããšããããšãçºçããããšããããšã¯çå®ã fact3: ãŽã«ãŽã«ã
Lv.26äºä»¶ãèµ·ãããšããã°ãã·ãã·ã¡ãLv.97äºä»¶ãèµ·ããããœããœã¡ã
Lv.32äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ã§ãªã fact4: ã·ãã·ã¡ãLv.97äºä»¶ãçããªããšããã°ã¿ãã¿ã¡ãLv.36äºä»¶ã¯çããªãäžæ¹ã§æ¹¿æ°æããšããããšãèµ·ãã fact5: æãå§ããããšã¯çããªã fact6: ãã·ãã·ã¡ãLv.97äºä»¶ã¯çºçããããœããœã¡ã
Lv.32äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªããªãã°ã·ãã·ã¡ãLv.97äºä»¶ã¯èµ·ããªã | fact1: ¬{H} -> ({G} & {E}) fact2: {C} fact3: {E} -> ¬({D} & ¬{F}) fact4: ¬{D} -> (¬{B} & {C}) fact5: ¬{JA} fact6: ¬({D} & ¬{F}) -> ¬{D} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ã¡ãã·ãLv.21äºä»¶ãçºçãã; assump1 -> int1: ã·ã¡ãã·ãLv.21äºä»¶ããããã¯ã¿ãã¿ã¡ãLv.36äºä»¶ãçãã;"
] | [
"void -> assump1: {A}; assump1 -> int1: ({A} v {B});"
] | ã·ã¡ãã·ãLv.71äºä»¶ãèµ·ããããããã¯ãã«ããã«ã
Lv.65äºä»¶ãçããããããã¯äž¡æ¹ãšãã§ãã | ({AS} v {GF}) | [] | 9 | 5 | 3 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«å
¥æãæããšããããšã¯èµ·ãããªããªãã°ç滞ããŸãããšããããšãšãŽã«ãŽã«ã
Lv.26äºä»¶ã©ã¡ãããçãã fact2: ã湿æ°æããšããããšãçºçããããšããããšã¯çå®ã fact3: ãŽã«ãŽã«ã
Lv.26äºä»¶ãèµ·ãããšããã°ãã·ãã·ã¡ãLv.97äºä»¶ãèµ·ããããœããœã¡ã
Lv.32äºä»¶ã¯èµ·ããªãããšããããšã¯çå®ã§ãªã fact4: ã·ãã·ã¡ãLv.97äºä»¶ãçããªããšããã°ã¿ãã¿ã¡ãLv.36äºä»¶ã¯çããªãäžæ¹ã§æ¹¿æ°æããšããããšãèµ·ãã fact5: æãå§ããããšã¯çããªã fact6: ãã·ãã·ã¡ãLv.97äºä»¶ã¯çºçããããœããœã¡ã
Lv.32äºä»¶ã¯çºçããªãããšããããšã¯æãç«ããªããªãã°ã·ãã·ã¡ãLv.97äºä»¶ã¯èµ·ããªã ; $hypothesis$ = ã·ã¡ãã·ãLv.21äºä»¶ã¯èµ·ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{H} -> ({G} & {E}) fact2: {C} fact3: {E} -> ¬({D} & ¬{F}) fact4: ¬{D} -> (¬{B} & {C}) fact5: ¬{JA} fact6: ¬({D} & ¬{F}) -> ¬{D} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ãã·ãLv.13ã¯äžåã | {F}{b} | fact1: ãã®ã·ã«ã
ã·ãLv.70ã¯å¹ãããçºé
µãã fact2: ãã®ã·ã«ã
ã·ãLv.70ã¯å¹ãã fact3: ä»®ã«ãã®ã·ã«ãã·ãLv.13ãä»æ¹ç¡ããšããã°ãã®ã·ã«ãã·ãLv.13ã¯æšããã fact4: ãã®ã·ã«ã
ã·ãLv.70ãçºé
µããªããšããããã®ãŽããŽãLv.33ã¯æžç¹ããããã®äžå¹ãã fact5: ä»æ¹ç¡ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯çºé
µãããå¹ãã fact6: ãããã®ã·ã«ã
ã·ãLv.70ãçºé
µãããªããã®ã·ã«ãã·ãLv.13ã¯ä»æ¹ç¡ã fact7: ä»®ã«ãã®ã·ã«ãã·ãLv.13ãæšããããªãã°ãã®ã·ã«ãã·ãLv.13ã¯åºã
ãã | fact1: ({A}{a} & {B}{a}) fact2: {A}{a} fact3: {C}{b} -> {D}{b} fact4: ¬{B}{a} -> ({HH}{ha} & {A}{ha}) fact5: (x): ¬{C}x -> ({B}x & {A}x) fact6: {B}{a} -> {C}{b} fact7: {D}{b} -> {E}{b} | [
"fact1 -> int1: ãã®ã·ã«ã
ã·ãLv.70ã¯çºé
µãã; int1 & fact6 -> int2: ãã®ã·ã«ãã·ãLv.13ã¯ä»æ¹ç¡ã; int2 & fact3 -> int3: ãã®ã·ã«ãã·ãLv.13ã¯æšããã; int3 & fact7 -> int4: ãã®ã·ã«ãã·ãLv.13ã¯åºã
ãã;"
] | [
"fact1 -> int1: {B}{a}; int1 & fact6 -> int2: {C}{b}; int2 & fact3 -> int3: {D}{b}; int3 & fact7 -> int4: {E}{b};"
] | ããã®ãŽããŽãLv.33ã¯æžç¹ãããæŽã«äžåãããšããããšã¯çå®ã | ({HH}{ha} & {F}{ha}) | [] | 5 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã
ã·ãLv.70ã¯å¹ãããçºé
µãã fact2: ãã®ã·ã«ã
ã·ãLv.70ã¯å¹ãã fact3: ä»®ã«ãã®ã·ã«ãã·ãLv.13ãä»æ¹ç¡ããšããã°ãã®ã·ã«ãã·ãLv.13ã¯æšããã fact4: ãã®ã·ã«ã
ã·ãLv.70ãçºé
µããªããšããããã®ãŽããŽãLv.33ã¯æžç¹ããããã®äžå¹ãã fact5: ä»æ¹ç¡ããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯çºé
µãããå¹ãã fact6: ãããã®ã·ã«ã
ã·ãLv.70ãçºé
µãããªããã®ã·ã«ãã·ãLv.13ã¯ä»æ¹ç¡ã fact7: ä»®ã«ãã®ã·ã«ãã·ãLv.13ãæšããããªãã°ãã®ã·ã«ãã·ãLv.13ã¯åºã
ãã ; $hypothesis$ = ãã®ã·ã«ãã·ãLv.13ã¯äžåã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {A}{a} fact3: {C}{b} -> {D}{b} fact4: ¬{B}{a} -> ({HH}{ha} & {A}{ha}) fact5: (x): ¬{C}x -> ({B}x & {A}x) fact6: {B}{a} -> {C}{b} fact7: {D}{b} -> {E}{b} ; $hypothesis$ = {F}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ãæç·©ãããããæŽå©åºæ¥ããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ({A}x & {C}x) | fact1: ãã®ã·ã¡ãã·ãªLv.98ã¯æŽå©åºæ¥ã fact2: ãã®ãŽã«ã
ãŽã®Lv.59ã¯ææ¡ãèŸããåãé£ã fact3: ãæŽå©åºæ¥ããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãšããã¢ã³ã¹ã¿ãŒã¯æž©ãŸããªã fact5: ä»®ã«ãéã£ãœããªããã¢ã³ã¹ã¿ãŒããããšããããã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããŠãã€æŽå©åºæ¥ã fact6: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæž©ãŸããªããšããããã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããããŸãã«éã£ãœã fact7: ããä»®ã«ãæž©ãŸããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã·ã¡ãã·ãªLv.98ã¯éã£ãœã | fact1: {C}{a} fact2: ({BU}{ig} & {HJ}{ig}) fact3: (Ex): {C}x fact4: (Ex): ¬{D}x fact5: (x): ¬{B}x -> ({A}{a} & {C}{a}) fact6: (x): ¬{D}x -> ({A}{a} & {B}{a}) fact7: (x): ¬{D}x -> {B}{a} | [
"fact4 & fact6 -> int1: ãã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããããã¯éã£ãœã; int1 -> int2: ãã®ã·ã¡ãã·ãªLv.98ã¯æç·©ã; int2 & fact1 -> int3: ãã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããããã«æŽå©åºæ¥ã; int3 -> hypothesis;"
] | [
"fact4 & fact6 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact1 -> int3: ({A}{a} & {C}{a}); int3 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ã·ã¡ãã·ãªLv.98ã¯æŽå©åºæ¥ã fact2: ãã®ãŽã«ã
ãŽã®Lv.59ã¯ææ¡ãèŸããåãé£ã fact3: ãæŽå©åºæ¥ããã¢ã³ã¹ã¿ãŒã¯ãã fact4: ãšããã¢ã³ã¹ã¿ãŒã¯æž©ãŸããªã fact5: ä»®ã«ãéã£ãœããªããã¢ã³ã¹ã¿ãŒããããšããããã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããŠãã€æŽå©åºæ¥ã fact6: ããä»®ã«ãšããã¢ã³ã¹ã¿ãŒãæž©ãŸããªããšããããã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããããŸãã«éã£ãœã fact7: ããä»®ã«ãæž©ãŸããšããããšã¯ãªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ã·ã¡ãã·ãªLv.98ã¯éã£ãœã ; $hypothesis$ = ãæç·©ãããããæŽå©åºæ¥ããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | fact4 & fact6 -> int1: ãã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããããã¯éã£ãœã; int1 -> int2: ãã®ã·ã¡ãã·ãªLv.98ã¯æç·©ã; int2 & fact1 -> int3: ãã®ã·ã¡ãã·ãªLv.98ã¯æç·©ããããã«æŽå©åºæ¥ã; int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {C}{a} fact2: ({BU}{ig} & {HJ}{ig}) fact3: (Ex): {C}x fact4: (Ex): ¬{D}x fact5: (x): ¬{B}x -> ({A}{a} & {C}{a}) fact6: (x): ¬{D}x -> ({A}{a} & {B}{a}) fact7: (x): ¬{D}x -> {B}{a} ; $hypothesis$ = (Ex): ({A}x & {C}x) ; $proof$ = | fact4 & fact6 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact1 -> int3: ({A}{a} & {C}{a}); int3 -> hypothesis; __PROVED__ |
0.3 | ããã¢ã³ã¹ã¿ãŒã¯å¿ããªãã身軜ããšããããšã¯ãªããã©ã¡ããã | (Ex): (¬{AA}x v ¬{AB}x) | fact1: ããä»®ã«ããã®ãã®ãã«ãLv.77ã¯å¿ããšããããšã¯ãªãããããã¯ããã¯èº«è»œããªãããšããããšã¯èª€ãã§ãããªãã°éªéèããªã | fact1: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãã®ãã«ãLv.77ã¯å¿ããšããããšã¯ãªãã身軜ããšããããšã¯ãªãããšããããšã¯ééãã§ãã; fact1 & assump1 -> int1: ãã®ãã®ãã«ãLv.77ã¯éªéèããªã;"
] | [
"void -> assump1: ¬(¬{AA}{a} v ¬{AB}{a}); fact1 & assump1 -> int1: ¬{B}{a};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ããã®ãã®ãã«ãLv.77ã¯å¿ããšããããšã¯ãªãããããã¯ããã¯èº«è»œããªãããšããããšã¯èª€ãã§ãããªãã°éªéèããªã ; $hypothesis$ = ããã¢ã³ã¹ã¿ãŒã¯å¿ããªãã身軜ããšããããšã¯ãªããã©ã¡ããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬(¬{AA}{a} v ¬{AB}{a}) -> ¬{B}{a} ; $hypothesis$ = (Ex): (¬{AA}x v ¬{AB}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽã«Lv.74ã¯éã©ããªã | ¬{F}{c} | fact1: ä»®ã«ããæãããæããŠè
¹ç«ããããšããããšã¯ãªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸã¡ããŸã«Lv.84ã¯æãããæããªã fact2: ãã®ãŽã«ããŽãLv.79ã¯ä¿ç®¡åºæ¥ã fact3: ä»®ã«ãã®ãŽããŽã«Lv.74ãæããããŠéã©ããªããã®ãŽã«ããŽãLv.79ã¯ä¿ç®¡åºæ¥ãªã fact4: ãšããã¢ã³ã¹ã¿ãŒãä¿ç®¡åºæ¥ãªããšãããæ¢ãç¡ããªããããã¯æããã fact5: ãã®ãã¡ããã«Lv.64ã¯è
¹ç«ãããããã©æãããæããªã fact6: ããä»®ã«ãã®ãŽã«ããŽãLv.79ãä¿ç®¡åºæ¥ããããŸãã«æããããªããã®ãŽããŽã«Lv.74ã¯éã©ããªã fact7: ããããè
¹ç«ãããããã©æãããæããªããã¢ã³ã¹ã¿ãŒãããã°ãã®ãã¡ããã«ã
Lv.27ã¯æ¢ãç¡ã fact8: ä»®ã«ããã¢ã³ã¹ã¿ãŒãè
¹ç«ããããšããã°ããã¯éã©ã fact9: ããä»®ã«ãã®ãã¡ããã«ã
Lv.27ãæ¢ãç¡ããšããããã®ãŽã«ããŽãLv.79ã¯æããã | fact1: (x): ¬({B}x & ¬{A}x) -> ¬{B}{do} fact2: {E}{b} fact3: ({D}{c} & {F}{c}) -> ¬{E}{b} fact4: (x): ¬{E}x -> (¬{C}x & {D}x) fact5: ({A}{aa} & ¬{B}{aa}) fact6: ({E}{b} & {D}{b}) -> ¬{F}{c} fact7: (x): ({A}x & ¬{B}x) -> {C}{a} fact8: (x): {A}x -> {F}x fact9: {C}{a} -> {D}{b} | [
"fact5 -> int1: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯è
¹ç«ããããã©ããã¯æãããæããªã; int1 & fact7 -> int2: ãã®ãã¡ããã«ã
Lv.27ã¯æ¢ãç¡ã; int2 & fact9 -> int3: ãã®ãŽã«ããŽãLv.79ã¯æããã; int3 & fact2 -> int4: ãã®ãŽã«ããŽãLv.79ã¯ä¿ç®¡åºæ¥ããæããã; int4 & fact6 -> hypothesis;"
] | [
"fact5 -> int1: (Ex): ({A}x & ¬{B}x); int1 & fact7 -> int2: {C}{a}; int2 & fact9 -> int3: {D}{b}; int3 & fact2 -> int4: ({E}{b} & {D}{b}); int4 & fact6 -> hypothesis;"
] | ãã®ãŸã¡ããŸã«Lv.84ã¯æãããæããªã | ¬{B}{do} | [] | 7 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ããæãããæããŠè
¹ç«ããããšããããšã¯ãªãããšããããšã¯æãç«ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãŸã¡ããŸã«Lv.84ã¯æãããæããªã fact2: ãã®ãŽã«ããŽãLv.79ã¯ä¿ç®¡åºæ¥ã fact3: ä»®ã«ãã®ãŽããŽã«Lv.74ãæããããŠéã©ããªããã®ãŽã«ããŽãLv.79ã¯ä¿ç®¡åºæ¥ãªã fact4: ãšããã¢ã³ã¹ã¿ãŒãä¿ç®¡åºæ¥ãªããšãããæ¢ãç¡ããªããããã¯æããã fact5: ãã®ãã¡ããã«Lv.64ã¯è
¹ç«ãããããã©æãããæããªã fact6: ããä»®ã«ãã®ãŽã«ããŽãLv.79ãä¿ç®¡åºæ¥ããããŸãã«æããããªããã®ãŽããŽã«Lv.74ã¯éã©ããªã fact7: ããããè
¹ç«ãããããã©æãããæããªããã¢ã³ã¹ã¿ãŒãããã°ãã®ãã¡ããã«ã
Lv.27ã¯æ¢ãç¡ã fact8: ä»®ã«ããã¢ã³ã¹ã¿ãŒãè
¹ç«ããããšããã°ããã¯éã©ã fact9: ããä»®ã«ãã®ãã¡ããã«ã
Lv.27ãæ¢ãç¡ããšããããã®ãŽã«ããŽãLv.79ã¯æããã ; $hypothesis$ = ãã®ãŽããŽã«Lv.74ã¯éã©ããªã ; $proof$ = | fact5 -> int1: ãªãããã®ã¢ã³ã¹ã¿ãŒã¯è
¹ç«ããããã©ããã¯æãããæããªã; int1 & fact7 -> int2: ãã®ãã¡ããã«ã
Lv.27ã¯æ¢ãç¡ã; int2 & fact9 -> int3: ãã®ãŽã«ããŽãLv.79ã¯æããã; int3 & fact2 -> int4: ãã®ãŽã«ããŽãLv.79ã¯ä¿ç®¡åºæ¥ããæããã; int4 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬({B}x & ¬{A}x) -> ¬{B}{do} fact2: {E}{b} fact3: ({D}{c} & {F}{c}) -> ¬{E}{b} fact4: (x): ¬{E}x -> (¬{C}x & {D}x) fact5: ({A}{aa} & ¬{B}{aa}) fact6: ({E}{b} & {D}{b}) -> ¬{F}{c} fact7: (x): ({A}x & ¬{B}x) -> {C}{a} fact8: (x): {A}x -> {F}x fact9: {C}{a} -> {D}{b} ; $hypothesis$ = ¬{F}{c} ; $proof$ = | fact5 -> int1: (Ex): ({A}x & ¬{B}x); int1 & fact7 -> int2: {C}{a}; int2 & fact9 -> int3: {D}{b}; int3 & fact2 -> int4: ({E}{b} & {D}{b}); int4 & fact6 -> hypothesis; __PROVED__ |
0.3 | ããŒãããšããããšã¯çããªã | ¬{B} | fact1: æ
æ²æ·±ããšããããšãèµ·ãã fact2: æ
æ²æ·±ããšããããšã¯çºçããªããšããããšã¯èŠèŸããšããããšãå¥æ©ã§ãã fact3: æãæããšããããšã¯çããªããšããããšã¯èŠèŸããšããããšãèµ·ãããšããããšã«é»ãŸãã fact4: æ
æ²æ·±ããšããããšã¯ãèŠèŸããšããããšãçºçããããããã¯ããŒãããšããããšãçããããŸãã¯ã©ã¡ããã§ããããšããããšã«é»æ¢ããã | fact1: {C} fact2: {A} -> ¬{C} fact3: {A} -> {AI} fact4: ({A} v {B}) -> ¬{C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããŒãããšããããšãçãã; assump1 -> int1: èŠèŸããšããããšãèµ·ããããããã¯ããŒãããšããããšãèµ·ããããããã¯ã©ã¡ããã ; int1 & fact4 -> int2: æ
æ²æ·±ããšããããšã¯çºçããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | æãæããšããããšãèµ·ãã | {AI} | [] | 2 | 5 | 3 | 5 | 3 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æ
æ²æ·±ããšããããšãèµ·ãã fact2: æ
æ²æ·±ããšããããšã¯çºçããªããšããããšã¯èŠèŸããšããããšãå¥æ©ã§ãã fact3: æãæããšããããšã¯çããªããšããããšã¯èŠèŸããšããããšãèµ·ãããšããããšã«é»ãŸãã fact4: æ
æ²æ·±ããšããããšã¯ãèŠèŸããšããããšãçºçããããããã¯ããŒãããšããããšãçããããŸãã¯ã©ã¡ããã§ããããšããããšã«é»æ¢ããã ; $hypothesis$ = ããŒãããšããããšã¯çããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããŒãããšããããšãçãã; assump1 -> int1: èŠèŸããšããããšãèµ·ããããããã¯ããŒãããšããããšãèµ·ããããããã¯ã©ã¡ããã ; int1 & fact4 -> int2: æ
æ²æ·±ããšããããšã¯çºçããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: {A} -> ¬{C} fact3: {A} -> {AI} fact4: ({A} v {B}) -> ¬{C} ; $hypothesis$ = ¬{B} ; $proof$ = | void -> assump1: {B}; assump1 -> int1: ({A} v {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ããã«ããã«Lv.21äºä»¶ãçºçããããšããããšã¯äºå®ã§ãã | {A} | fact1: ãããã®Lv.87äºä»¶ãèµ·ãããªããšããããšã¯ãã«ããã«Lv.21äºä»¶ã¯çããªããšããããšãé²ã fact2: ã ãããšããããšã¯çããªã fact3: ããããããã®Lv.87äºä»¶ã¯çºçãããåã次ãããšã¯èµ·ãããªãããšããããšã¯èª€ãã§ãããªããã«ããã«Lv.21äºä»¶ãçãã fact4: ãããã®Lv.87äºä»¶ãèµ·ãã fact5: ãããããã®Lv.87äºä»¶ãçããããã©åã次ãããšã¯çããªããªãã°ã ãããšããããšãèµ·ãã | fact1: ¬{AA} -> {A} fact2: ¬{B} fact3: ¬({AA} & ¬{AB}) -> {A} fact4: {AA} fact5: ({AA} & ¬{AB}) -> {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããããã®Lv.87äºä»¶ãèµ·ããããããåã次ãããšã¯çºçããªã; fact5 & assump1 -> int1: ã ãããšããããšãçãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãããããã®Lv.87äºä»¶ãèµ·ããããã©åã次ãããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ããšããããšã¯åœã§ãã; int3 & fact3 -> hypothesis;"
] | [
"void -> assump1: ({AA} & ¬{AB}); fact5 & assump1 -> int1: {B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬({AA} & ¬{AB}); int3 & fact3 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã®Lv.87äºä»¶ãèµ·ãããªããšããããšã¯ãã«ããã«Lv.21äºä»¶ã¯çããªããšããããšãé²ã fact2: ã ãããšããããšã¯çããªã fact3: ããããããã®Lv.87äºä»¶ã¯çºçãããåã次ãããšã¯èµ·ãããªãããšããããšã¯èª€ãã§ãããªããã«ããã«Lv.21äºä»¶ãçãã fact4: ãããã®Lv.87äºä»¶ãèµ·ãã fact5: ãããããã®Lv.87äºä»¶ãçããããã©åã次ãããšã¯çããªããªãã°ã ãããšããããšãèµ·ãã ; $hypothesis$ = ããã«ããã«Lv.21äºä»¶ãçºçããããšããããšã¯äºå®ã§ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããããã®Lv.87äºä»¶ãèµ·ããããããåã次ãããšã¯çºçããªã; fact5 & assump1 -> int1: ã ãããšããããšãçãã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãããããã®Lv.87äºä»¶ãèµ·ããããã©åã次ãããšã¯èµ·ãããªãããšããããšã¯æãç«ã€ããšããããšã¯åœã§ãã; int3 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{AA} -> {A} fact2: ¬{B} fact3: ¬({AA} & ¬{AB}) -> {A} fact4: {AA} fact5: ({AA} & ¬{AB}) -> {B} ; $hypothesis$ = {A} ; $proof$ = | void -> assump1: ({AA} & ¬{AB}); fact5 & assump1 -> int1: {B}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> int3: ¬({AA} & ¬{AB}); int3 & fact3 -> hypothesis; __PROVED__ |
0.3 | çã£é»ããšããããšããããã¯çã¿æããšããããšãçãã | ({A} v {B}) | fact1: çã£é»ããšããããšãèµ·ãã | fact1: {A} | [
"fact1 -> int1: çã£é»ããšããããšãèµ·ãã; int1 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: çã£é»ããšããããšãèµ·ãã ; $hypothesis$ = çã£é»ããšããããšããããã¯çã¿æããšããããšãçãã ; $proof$ = | fact1 -> int1: çã£é»ããšããããšãèµ·ãã; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} ; $hypothesis$ = ({A} v {B}) ; $proof$ = | fact1 -> int1: {A}; int1 -> hypothesis; __PROVED__ |
0.3 | ããã®ã·ã«ãã·ã®Lv.85ã¯æœã£ããããããé£ãããªãããšããããšã¯èª€ãã§ãã | ¬({E}{b} & ¬{C}{b}) | fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å®éãããããŸãã«ç²ãé£ã fact2: ãããã®ã¿ãã¿ã«ã
Lv.19ã¯é£ãããšãããšããã®ã·ã«ãã·ã®Lv.85ã¯æœã£ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠããŸãã«é£ããããšããããšã¯æãç«ããªã fact3: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.19ãç²ãé£ããªãé£ãã fact4: ãããã®ã¿ãã¿ã«ã
Lv.19ã¯é£ããã°ããã®ã·ã«ãã·ã®Lv.85ã¯æœã£ããäžæ¹ã§é£ãããªãããšããããšã¯åœã fact5: ãã®ãŽããŽãLv.58ã¯ç²ãé£ã | fact1: (x): ({A}x & {B}x) fact2: {C}{a} -> ¬({E}{b} & {C}{b}) fact3: {B}{a} -> {C}{a} fact4: {C}{a} -> ¬({E}{b} & ¬{C}{b}) fact5: {B}{fu} | [
"fact1 -> int1: ãã®ã¿ãã¿ã«ã
Lv.19ã¯å®éããããããç²ãé£ã; int1 -> int2: ãã®ã¿ãã¿ã«ã
Lv.19ã¯ç²ãé£ã; int2 & fact3 -> int3: ãã®ã¿ãã¿ã«ã
Lv.19ã¯é£ãã; int3 & fact4 -> hypothesis;"
] | [
"fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact3 -> int3: {C}{a}; int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å®éãããããŸãã«ç²ãé£ã fact2: ãããã®ã¿ãã¿ã«ã
Lv.19ã¯é£ãããšãããšããã®ã·ã«ãã·ã®Lv.85ã¯æœã£ããã¢ã³ã¹ã¿ãŒã§ãã£ãŠããŸãã«é£ããããšããããšã¯æãç«ããªã fact3: ä»®ã«ãã®ã¿ãã¿ã«ã
Lv.19ãç²ãé£ããªãé£ãã fact4: ãããã®ã¿ãã¿ã«ã
Lv.19ã¯é£ããã°ããã®ã·ã«ãã·ã®Lv.85ã¯æœã£ããäžæ¹ã§é£ãããªãããšããããšã¯åœã fact5: ãã®ãŽããŽãLv.58ã¯ç²ãé£ã ; $hypothesis$ = ããã®ã·ã«ãã·ã®Lv.85ã¯æœã£ããããããé£ãããªãããšããããšã¯èª€ãã§ãã ; $proof$ = | fact1 -> int1: ãã®ã¿ãã¿ã«ã
Lv.19ã¯å®éããããããç²ãé£ã; int1 -> int2: ãã®ã¿ãã¿ã«ã
Lv.19ã¯ç²ãé£ã; int2 & fact3 -> int3: ãã®ã¿ãã¿ã«ã
Lv.19ã¯é£ãã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({A}x & {B}x) fact2: {C}{a} -> ¬({E}{b} & {C}{b}) fact3: {B}{a} -> {C}{a} fact4: {C}{a} -> ¬({E}{b} & ¬{C}{b}) fact5: {B}{fu} ; $hypothesis$ = ¬({E}{b} & ¬{C}{b}) ; $proof$ = | fact1 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact3 -> int3: {C}{a}; int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯ãã€ãããæç·©ã | ({E}{aa} & {D}{aa}) | fact1: ãããããã¢ã³ã¹ã¿ãŒã¯æ¶åãæããªããšãããèŠãæããªã fact2: ä»®ã«ããã®ã¿ã«ãã¿ã¡ãLv.48ã¯åå¿ãæãããšããããšã¯äºå®ã ãšãããšããã¯æç·©ã fact3: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯ãã€ãã fact4: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æç·©ããªãããããã¯ããã¯èŠãæããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ééããªãããã¯æ¶åãæããªã fact5: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯æ¶åãæããªã fact6: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.48ãèŠãæããªããšããã°ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯åå¿ãæã | fact1: (x): ¬{B}x -> ¬{C}x fact2: {A}{aa} -> {D}{aa} fact3: {E}{aa} fact4: (x): ¬(¬{D}x v ¬{C}x) -> ¬{B}x fact5: ¬{B}{aa} fact6: ¬{C}{aa} -> {A}{aa} | [
"fact1 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.48ãæ¶åãæããªããšããã°ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯èŠãæããªã; int1 & fact5 -> int2: ããã®ã¿ã«ãã¿ã¡ãLv.48ã¯èŠãæããªãããšããããšã¯èª€ãã§ãªã; int2 & fact6 -> int3: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯åå¿ãæã; int3 & fact2 -> int4: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯æç·©ã; int4 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: ¬{B}{aa} -> ¬{C}{aa}; int1 & fact5 -> int2: ¬{C}{aa}; int2 & fact6 -> int3: {A}{aa}; int3 & fact2 -> int4: {D}{aa}; int4 & fact3 -> hypothesis;"
] | ãã®ã¿ã¡ãã¿ãLv.81ã¯ãã€ãã | {E}{fr} | [
"fact7 -> int5: ãããããã®ã¿ã¡ãã¿ãLv.81ã¯æç·©ããªããèŠãæããªãããããã¯äž¡æ¹ã ããšããããšã¯æãç«ããªããšãããšæ¶åãæããšããããšã¯ãªã;"
] | 4 | 5 | 5 | 5 | 5 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãããããã¢ã³ã¹ã¿ãŒã¯æ¶åãæããªããšãããèŠãæããªã fact2: ä»®ã«ããã®ã¿ã«ãã¿ã¡ãLv.48ã¯åå¿ãæãããšããããšã¯äºå®ã ãšãããšããã¯æç·©ã fact3: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯ãã€ãã fact4: ä»®ã«ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æç·©ããªãããããã¯ããã¯èŠãæããªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯ééããªãããã¯æ¶åãæããªã fact5: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯æ¶åãæããªã fact6: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.48ãèŠãæããªããšããã°ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯åå¿ãæã ; $hypothesis$ = ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯ãã€ãããæç·©ã ; $proof$ = | fact1 -> int1: ããä»®ã«ãã®ã¿ã«ãã¿ã¡ãLv.48ãæ¶åãæããªããšããã°ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯èŠãæããªã; int1 & fact5 -> int2: ããã®ã¿ã«ãã¿ã¡ãLv.48ã¯èŠãæããªãããšããããšã¯èª€ãã§ãªã; int2 & fact6 -> int3: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯åå¿ãæã; int3 & fact2 -> int4: ãã®ã¿ã«ãã¿ã¡ãLv.48ã¯æç·©ã; int4 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{B}x -> ¬{C}x fact2: {A}{aa} -> {D}{aa} fact3: {E}{aa} fact4: (x): ¬(¬{D}x v ¬{C}x) -> ¬{B}x fact5: ¬{B}{aa} fact6: ¬{C}{aa} -> {A}{aa} ; $hypothesis$ = ({E}{aa} & {D}{aa}) ; $proof$ = | fact1 -> int1: ¬{B}{aa} -> ¬{C}{aa}; int1 & fact5 -> int2: ¬{C}{aa}; int2 & fact6 -> int3: {A}{aa}; int3 & fact2 -> int4: {D}{aa}; int4 & fact3 -> hypothesis; __PROVED__ |
0.3 | ããããããããšããã³ã·ã«ãã·ãLv.40äºä»¶äž¡æ¹ãèµ·ãã | ({A} & {C}) | fact1: ããä»®ã«ãŸã®ãŸãLv.11äºä»¶ã¯çºçããªããšããããããããããããšãèµ·ãããæŽã«ã·ã«ãã·ãLv.40äºä»¶ãçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãããå¿åŒ·ããšããããšãçãããããããŸã®ãŸãLv.11äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããŸã®ãŸãLv.11äºä»¶ã¯èµ·ããªã fact3: ã·ã«ãã·ãLv.40äºä»¶ãçãã fact4: ããããããããšãçºçããããŸã®ãŸãLv.11äºä»¶ãèµ·ãã | fact1: ¬{B} -> ¬({A} & {C}) fact2: ¬({D} & {B}) -> ¬{B} fact3: {C} fact4: ({A} & {B}) | [
"fact4 -> int1: ããããããããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact4 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ããããããããããšãšã·ã«ãã·ãLv.40äºä»¶ãèµ·ããããšããããšã¯èª€ãã§ããããšããããšã¯æãç«ã€ | ¬({A} & {C}) | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ãŸã®ãŸãLv.11äºä»¶ã¯çºçããªããšããããããããããããšãèµ·ãããæŽã«ã·ã«ãã·ãLv.40äºä»¶ãçºçããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãããå¿åŒ·ããšããããšãçãããããããŸã®ãŸãLv.11äºä»¶ãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªããšããããŸã®ãŸãLv.11äºä»¶ã¯èµ·ããªã fact3: ã·ã«ãã·ãLv.40äºä»¶ãçãã fact4: ããããããããšãçºçããããŸã®ãŸãLv.11äºä»¶ãèµ·ãã ; $hypothesis$ = ããããããããšããã³ã·ã«ãã·ãLv.40äºä»¶äž¡æ¹ãèµ·ãã ; $proof$ = | fact4 -> int1: ããããããããšãèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} -> ¬({A} & {C}) fact2: ¬({D} & {B}) -> ¬{B} fact3: {C} fact4: ({A} & {B}) ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact4 -> int1: {A}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŽããŽã«ãLv.73ã¯ãšãããã©ããã¯çãé£ããªã | ({C}{b} & ¬{A}{b}) | fact1: ä»®ã«ããã®ãŽããŽã«ãLv.73ã¯å°€ãããããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ããã®ãœããœã¡ãLv.17ã¯çãé£ããã©å°€ãããããªãããšããããšã¯ééãã fact2: ããã®ãŽããŽã«ãLv.73ã¯ãšããããããçãé£ãããšããããšã¯æãç«ããªã fact3: ããããã®ã·ãã·ã¡ã
Lv.70ãæ¥ããããªããšããã°ãã®ãŽããŽã«ãLv.73ã¯å°€ãããããæŽã«ãšãã fact4: ãã®ãœããœã¡ãLv.17ã¯å°€ãããããªã fact5: ãã®ãœããœã¡ãLv.17ããšãããªããã®ãŽã«ããŽã¡ãLv.21ã¯ãšãã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããããªãããã©æ¥ããã fact7: ãããã®ãœããœã¡ãLv.17ãçãé£ããšããã°å°€ãããã | fact1: ¬{B}{b} -> ¬({A}{a} & ¬{B}{a}) fact2: ¬({C}{b} & {A}{b}) fact3: ¬{D}{c} -> ({B}{b} & {C}{b}) fact4: ¬{B}{a} fact5: {C}{a} -> {C}{fr} fact6: (x): (¬{E}x & {D}x) fact7: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœããœã¡ãLv.17ã¯çãé£ã; fact7 & assump1 -> int1: ããã®ãœããœã¡ãLv.17ã¯å°€ããããããšããããšã¯æãç«ã€; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãœããœã¡ãLv.17ã¯çãé£ããšããããšã¯ãªã;"
] | [
"void -> assump1: {A}{a}; fact7 & assump1 -> int1: {B}{a}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a};"
] | ãã®ãŽããŽã«ãLv.73ã¯ãšãããã©ããã¯çãé£ããªã | ({C}{b} & ¬{A}{b}) | [
"fact8 -> int4: ãã®ãœããœã¡ãLv.17ã¯ããããªããã©æ¥ããã; int4 -> int5: ãã®ãœããœã¡ãLv.17ã¯æ¥ããã; int5 -> int6: ãæ¥ããããã¢ã³ã¹ã¿ãŒã¯ãã;"
] | 5 | 5 | 4 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ããã®ãŽããŽã«ãLv.73ã¯å°€ãããããšããããšã¯ãªãããšããããšã¯äºå®ãªãã°ããã®ãœããœã¡ãLv.17ã¯çãé£ããã©å°€ãããããªãããšããããšã¯ééãã fact2: ããã®ãŽããŽã«ãLv.73ã¯ãšããããããçãé£ãããšããããšã¯æãç«ããªã fact3: ããããã®ã·ãã·ã¡ã
Lv.70ãæ¥ããããªããšããã°ãã®ãŽããŽã«ãLv.73ã¯å°€ãããããæŽã«ãšãã fact4: ãã®ãœããœã¡ãLv.17ã¯å°€ãããããªã fact5: ãã®ãœããœã¡ãLv.17ããšãããªããã®ãŽã«ããŽã¡ãLv.21ã¯ãšãã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ããããªãããã©æ¥ããã fact7: ãããã®ãœããœã¡ãLv.17ãçãé£ããšããã°å°€ãããã ; $hypothesis$ = ãã®ãŽããŽã«ãLv.73ã¯ãšãããã©ããã¯çãé£ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{b} -> ¬({A}{a} & ¬{B}{a}) fact2: ¬({C}{b} & {A}{b}) fact3: ¬{D}{c} -> ({B}{b} & {C}{b}) fact4: ¬{B}{a} fact5: {C}{a} -> {C}{fr} fact6: (x): (¬{E}x & {D}x) fact7: {A}{a} -> {B}{a} ; $hypothesis$ = ({C}{b} & ¬{A}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ã | {A}{a} | fact1: æãããããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯çé
žåããããããã¯ç²åŽãæããªã fact2: ä»®ã«ãã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ããªããšããã°ããã®ã·ã«ã
ã·ã¡ãLv.88ã¯å€ªãæããããã¯äœãæãããšããããšã¯æãç«ã€ fact3: ãã®ãŽããŽãLv.43ã¯å€ªãæã fact4: ä»®ã«ãã®ãœã®ãœãªLv.83ãçé
žåããªãããããç²åŽãæããšããããã®ãœã®ãœãªLv.83ã¯äœãããšããããšã¯ãªã fact5: ãã®ã·ã«ã
ã·ã¡ãLv.88ã¯äœãæããªã fact6: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãäœãããšããã°ããã¯ä¹ŸãæããªããŠããã«ããã¯éŠå°Ÿè¯ããªã | fact1: (x): ¬{F}x -> ({E}x v ¬{D}x) fact2: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact3: {AA}{cf} fact4: (¬{E}{a} & {D}{a}) -> ¬{C}{a} fact5: ¬{AB}{b} fact6: (x): {C}x -> (¬{B}x & ¬{A}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ããšããããšã¯ãªã; fact2 & assump1 -> int1: ãã®ã·ã«ã
ã·ã¡ãLv.88ã¯å€ªãæãããããäœãæã; int1 -> int2: ãã®ã·ã«ã
ã·ã¡ãLv.88ã¯äœãæã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: ¬{A}{a}; fact2 & assump1 -> int1: ({AA}{b} & {AB}{b}); int1 -> int2: {AB}{b}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ããšããããšã¯ãªã | ¬{A}{a} | [
"fact7 -> int4: ãã®ãœã®ãœãªLv.83ãäœãããšãããããã¯ä¹ŸãæããªããŠéŠå°Ÿè¯ããªã; fact8 -> int5: ãã®ã·ã«ã
ã·ã¡ãLv.88ãæãããããªããšããããã®ã·ã«ã
ã·ã¡ãLv.88ã¯çé
žåãããããã¯ç²åŽãæããšããããšã¯ãªãããããã¯ã©ã¡ããã§ãã;"
] | 5 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: æãããããšããããšã¯ãªãã¢ã³ã¹ã¿ãŒã¯çé
žåããããããã¯ç²åŽãæããªã fact2: ä»®ã«ãã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ããªããšããã°ããã®ã·ã«ã
ã·ã¡ãLv.88ã¯å€ªãæããããã¯äœãæãããšããããšã¯æãç«ã€ fact3: ãã®ãŽããŽãLv.43ã¯å€ªãæã fact4: ä»®ã«ãã®ãœã®ãœãªLv.83ãçé
žåããªãããããç²åŽãæããšããããã®ãœã®ãœãªLv.83ã¯äœãããšããããšã¯ãªã fact5: ãã®ã·ã«ã
ã·ã¡ãLv.88ã¯äœãæããªã fact6: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãäœãããšããã°ããã¯ä¹ŸãæããªããŠããã«ããã¯éŠå°Ÿè¯ããªã ; $hypothesis$ = ãã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãœã®ãœãªLv.83ã¯éŠå°Ÿè¯ããšããããšã¯ãªã; fact2 & assump1 -> int1: ãã®ã·ã«ã
ã·ã¡ãLv.88ã¯å€ªãæãããããäœãæã; int1 -> int2: ãã®ã·ã«ã
ã·ã¡ãLv.88ã¯äœãæã; int2 & fact5 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ¬{F}x -> ({E}x v ¬{D}x) fact2: ¬{A}{a} -> ({AA}{b} & {AB}{b}) fact3: {AA}{cf} fact4: (¬{E}{a} & {D}{a}) -> ¬{C}{a} fact5: ¬{AB}{b} fact6: (x): {C}x -> (¬{B}x & ¬{A}x) ; $hypothesis$ = {A}{a} ; $proof$ = | void -> assump1: ¬{A}{a}; fact2 & assump1 -> int1: ({AA}{b} & {AB}{b}); int1 -> int2: {AB}{b}; int2 & fact5 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | åè§ããšããããšããã³å€§ãããšããããšäž¡æ¹ãšããçãã | ({A} & {C}) | fact1: ããŒãããšããããšãèµ·ãã fact2: åè§ããšããããšãšããŒãããšããããšãèµ·ãã fact3: 倧ãããšããããšãçºçãã | fact1: {B} fact2: ({A} & {B}) fact3: {C} | [
"fact2 -> int1: åè§ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ããŒãããšããããšãèµ·ãã fact2: åè§ããšããããšãšããŒãããšããããšãèµ·ãã fact3: 倧ãããšããããšãçºçãã ; $hypothesis$ = åè§ããšããããšããã³å€§ãããšããããšäž¡æ¹ãšããçãã ; $proof$ = | fact2 -> int1: åè§ããšããããšãèµ·ãã; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) fact3: {C} ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact2 -> int1: {A}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ãåºäŒãæããšããããšãèµ·ãããã·ã«ã·ã«ãLv.94äºä»¶ã¯èµ·ããªãããšããããšã¯åœã | ¬({C} & ¬{A}) | fact1: æšãã£ãããããšããããšã¯çºçããªã fact2: ãã·ã«ã
ã·ã®Lv.95äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ fact3: æãããšããããšã¯ã·ã«ã·ã«ãLv.94äºä»¶ããã£ããã fact4: ãããåç¡ããšããããšãèµ·ããããœã¡ããœãLv.53äºä»¶ã¯èµ·ããªããäž¡æ¹ãšããªãã°åºäŒãæããšããããšã¯çããªã fact5: ã·ã¡ã
ã·ãLv.59äºä»¶ã¯èµ·ãããªã fact6: ãœããœãLv.99äºä»¶ããã·ã«ã·ã«ãLv.94äºä»¶ãèµ·ãããæãããšããããšã¯èµ·ãããªãããšããããšã¯åå ã§ãã fact7: æãããšããããšã¯çããªã fact8: åºäŒãæããšããããšãçºçãã | fact1: ¬{CT} fact2: ¬{HS} fact3: {A} -> {B} fact4: ({D} v ¬{E}) -> ¬{C} fact5: ¬{FI} fact6: ({A} & ¬{B}) -> {FD} fact7: ¬{B} fact8: {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ã«ã·ã«ãLv.94äºä»¶ãèµ·ãã; fact3 & assump1 -> int1: æãããšããããšãçãã; int1 & fact7 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ã«ã·ã«ãLv.94äºä»¶ã¯çºçããªã; int3 & fact8 -> hypothesis;"
] | [
"void -> assump1: {A}; fact3 & assump1 -> int1: {B}; int1 & fact7 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact8 -> hypothesis;"
] | çšé ããšããããšãçãããã©ã·ãã·ãLv.16äºä»¶ã¯çããªã | ({IL} & ¬{AF}) | [] | 5 | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æšãã£ãããããšããããšã¯çºçããªã fact2: ãã·ã«ã
ã·ã®Lv.95äºä»¶ã¯çºçããªãããšããããšã¯æãç«ã€ fact3: æãããšããããšã¯ã·ã«ã·ã«ãLv.94äºä»¶ããã£ããã fact4: ãããåç¡ããšããããšãèµ·ããããœã¡ããœãLv.53äºä»¶ã¯èµ·ããªããäž¡æ¹ãšããªãã°åºäŒãæããšããããšã¯çããªã fact5: ã·ã¡ã
ã·ãLv.59äºä»¶ã¯èµ·ãããªã fact6: ãœããœãLv.99äºä»¶ããã·ã«ã·ã«ãLv.94äºä»¶ãèµ·ãããæãããšããããšã¯èµ·ãããªãããšããããšã¯åå ã§ãã fact7: æãããšããããšã¯çããªã fact8: åºäŒãæããšããããšãçºçãã ; $hypothesis$ = ãåºäŒãæããšããããšãèµ·ãããã·ã«ã·ã«ãLv.94äºä»¶ã¯èµ·ããªãããšããããšã¯åœã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã·ã«ã·ã«ãLv.94äºä»¶ãèµ·ãã; fact3 & assump1 -> int1: æãããšããããšãçãã; int1 & fact7 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ã«ã·ã«ãLv.94äºä»¶ã¯çºçããªã; int3 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{CT} fact2: ¬{HS} fact3: {A} -> {B} fact4: ({D} v ¬{E}) -> ¬{C} fact5: ¬{FI} fact6: ({A} & ¬{B}) -> {FD} fact7: ¬{B} fact8: {C} ; $hypothesis$ = ¬({C} & ¬{A}) ; $proof$ = | void -> assump1: {A}; fact3 & assump1 -> int1: {B}; int1 & fact7 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | æ°æ ããšããããšã¯çããªã | ¬{E} | fact1: ããŠãè¯ããšããããšããã³ãœããœã«ãLv.44äºä»¶ã©ã¡ãããèµ·ãã fact2: 売ãäžããããšããã³ããŠãè¯ããšããããšãçããã¯ãœããœã«ãLv.44äºä»¶ã¯èµ·ããªããšããããšã«åŒãèµ·ãããã fact3: åžåããæããšããããšãçºçãã fact4: ãœãªãœã«ãLv.70äºä»¶ãèµ·ãã fact5: æ°æ ããšããããšãšè¡ãããããšãçããã¯ãåžåããæããšããããšã¯èµ·ãããªãããšããããšã«ããçãã fact6: ããæžãäžãããšã¯çºçããªããšãããåžåããæããšããããšãèµ·ãããå¿ãããšããããšã¯çºçããªã fact7: ãããå¿ãããšããããšã¯èµ·ããªããªãã°æ°æ ããšããããšãçºçãããåžåããæããšããããšãèµ·ãã | fact1: ({A} & {B}) fact2: ¬{B} -> ({BM} & {A}) fact3: {F} fact4: {C} fact5: ¬{F} -> ({E} & {CH}) fact6: ¬{G} -> ({F} & ¬{D}) fact7: ¬{D} -> ({E} & {F}) | [
"fact1 -> int1: ãœããœã«ãLv.44äºä»¶ãçºçãã; int1 & fact4 -> int2: ãœãªãœã«ãLv.70äºä»¶ãšãœããœã«ãLv.44äºä»¶äž¡æ¹ãšããèµ·ãã;"
] | [
"fact1 -> int1: {B}; int1 & fact4 -> int2: ({C} & {B});"
] | æ°æ ããšããããšã¯çããªã | ¬{E} | [] | 6 | 5 | 5 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããŠãè¯ããšããããšããã³ãœããœã«ãLv.44äºä»¶ã©ã¡ãããèµ·ãã fact2: 売ãäžããããšããã³ããŠãè¯ããšããããšãçããã¯ãœããœã«ãLv.44äºä»¶ã¯èµ·ããªããšããããšã«åŒãèµ·ãããã fact3: åžåããæããšããããšãçºçãã fact4: ãœãªãœã«ãLv.70äºä»¶ãèµ·ãã fact5: æ°æ ããšããããšãšè¡ãããããšãçããã¯ãåžåããæããšããããšã¯èµ·ãããªãããšããããšã«ããçãã fact6: ããæžãäžãããšã¯çºçããªããšãããåžåããæããšããããšãèµ·ãããå¿ãããšããããšã¯çºçããªã fact7: ãããå¿ãããšããããšã¯èµ·ããªããªãã°æ°æ ããšããããšãçºçãããåžåããæããšããããšãèµ·ãã ; $hypothesis$ = æ°æ ããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) fact2: ¬{B} -> ({BM} & {A}) fact3: {F} fact4: {C} fact5: ¬{F} -> ({E} & {CH}) fact6: ¬{G} -> ({F} & ¬{D}) fact7: ¬{D} -> ({E} & {F}) ; $hypothesis$ = ¬{E} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãããã®Lv.20ã¯è³¢ã | {D}{a} | fact1: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯ãŸã ãã£ããããªãããšããããšã¯æãç«ã€ãšããã°ãæšããéãé£ããªãããšããããšã¯åœã fact2: ãããã®ãããã®Lv.20ãæšããšãããšè³¢ã fact3: 埡æ©ããªãã¢ã³ã¹ã¿ãŒã¯è³¢ããªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ¿¡ãå
ã fact5: ããã®ãããã®Lv.20ã¯æšãäžæ¹ã§éãé£ããªãããšããããšã¯ééããªãæšããªã fact6: ããããã®ãããã®Lv.20ã埡æ©ããªãã°ãã®ãããã®Lv.20ã¯æšã | fact1: (x): ¬{F}x -> ¬({C}x & ¬{E}x) fact2: {C}{a} -> {D}{a} fact3: (x): ¬{A}x -> ¬{D}x fact4: (x): {B}x fact5: ¬({C}{a} & ¬{E}{a}) -> ¬{C}{a} fact6: {A}{a} -> {C}{a} | [] | [] | ãã®ãããã®Lv.20ã¯è³¢ããšããããšã¯ãªã | ¬{D}{a} | [
"fact9 -> int1: ãã®ãããã®Lv.20ã埡æ©ããªããšãããããã¯è³¢ããšããããšã¯ãªã; fact8 -> int2: ãããããã®ã·ãã·ã«Lv.44ã¯ãŸã ãã£ããããªãããšããããšã¯æ¬åœã ãšããã°ããã®ã·ãã·ã«Lv.44ã¯æšããã©ããã¯éãé£ããªãããšããããšã¯ç¢ºãã§ãªãããšããããšã¯äºå®ãšç°ãªããªã;"
] | 8 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ä»®ã«ãããã¢ã³ã¹ã¿ãŒã¯ãŸã ãã£ããããªãããšããããšã¯æãç«ã€ãšããã°ãæšããéãé£ããªãããšããããšã¯åœã fact2: ãããã®ãããã®Lv.20ãæšããšãããšè³¢ã fact3: 埡æ©ããªãã¢ã³ã¹ã¿ãŒã¯è³¢ããªã fact4: ããããã¢ã³ã¹ã¿ãŒã¯æ¿¡ãå
ã fact5: ããã®ãããã®Lv.20ã¯æšãäžæ¹ã§éãé£ããªãããšããããšã¯ééããªãæšããªã fact6: ããããã®ãããã®Lv.20ã埡æ©ããªãã°ãã®ãããã®Lv.20ã¯æšã ; $hypothesis$ = ãã®ãããã®Lv.20ã¯è³¢ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬{F}x -> ¬({C}x & ¬{E}x) fact2: {C}{a} -> {D}{a} fact3: (x): ¬{A}x -> ¬{D}x fact4: (x): {B}x fact5: ¬({C}{a} & ¬{E}{a}) -> ¬{C}{a} fact6: {A}{a} -> {C}{a} ; $hypothesis$ = {D}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ã·ã¡ãã·ã«ãLv.67äºä»¶ãèµ·ãã | {E} | fact1: ãŸããŸã«Lv.20äºä»¶ã¯çé²ããããšãçãããã fact2: ãããã©èããšããããšã¯èµ·ããªãããšããããšã¯ã·ã¡ãã·ã«ãLv.67äºä»¶ãé»æ¢ãã fact3: å¿ãé£ããšããããšã¯çºçããªã fact4: ä»®ã«çé²ããããšãèµ·ããããŸãã¯ææ
šæ·±ããšããããšãçºçããããããã¯äž¡æ¹ã§ãããšããã°ãããã©èããšããããšã¯çããªãããšããããšã¯æãç«ã€ | fact1: {A} -> {B} fact2: ¬{D} -> ¬{E} fact3: ¬{GM} fact4: ({B} v {C}) -> ¬{D} | [] | [] | null | null | [] | null | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãŸããŸã«Lv.20äºä»¶ã¯çé²ããããšãçãããã fact2: ãããã©èããšããããšã¯èµ·ããªãããšããããšã¯ã·ã¡ãã·ã«ãLv.67äºä»¶ãé»æ¢ãã fact3: å¿ãé£ããšããããšã¯çºçããªã fact4: ä»®ã«çé²ããããšãèµ·ããããŸãã¯ææ
šæ·±ããšããããšãçºçããããããã¯äž¡æ¹ã§ãããšããã°ãããã©èããšããããšã¯çããªãããšããããšã¯æãç«ã€ ; $hypothesis$ = ã·ã¡ãã·ã«ãLv.67äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} -> {B} fact2: ¬{D} -> ¬{E} fact3: ¬{GM} fact4: ({B} v {C}) -> ¬{D} ; $hypothesis$ = {E} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãŽããŽãLv.53ã¯ãããã£ãœããªã | ¬{A}{c} | fact1: ããã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ããªãããããã¯å
·äœåããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãã®ã¿ãã¿ã¡ã
Lv.40ã¯ãããã£ãœã fact3: ããããã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ãããšããããšã¯ãªãããããã¯å®ãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªããšãããšãã®ã¿ãã¿ã¡ã
Lv.40ã¯å
·äœåããªã fact4: ããã®ãŸãªãŸã«ã
Lv.52ã¯æ¶åãæãããšããããšã¯çå®ã fact5: ãããã®ãŸãªãŸã«ã
Lv.52ããã«ãã€ã³ãããšããããšã¯ãªããå®ããšãããšãã®ãŽããŽãLv.53ã¯ãããã£ãœã fact6: ããã®ãœããœãLv.80ã¯å®ãããšããããšã¯åœã§ãªã fact7: ãã®ãŸãªãŸã«ã
Lv.52ãå®ããªãããããã¯ãããã£ãœãããããã¯äž¡æ¹ãšããªããã®ãŽããŽãLv.53ã¯ãã«ãã€ã³ãã fact8: ãã®ã¿ãã¿ã¡ã
Lv.40ã¯å
·äœåãã | fact1: ¬(¬{AA}{a} v {B}{a}) fact2: {A}{b} fact3: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact4: {DO}{a} fact5: (¬{AA}{a} v {AB}{a}) -> {A}{c} fact6: {AB}{gi} fact7: (¬{AB}{a} v {A}{a}) -> {AA}{c} fact8: {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ããªãããŸãã¯å®ããäž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã; fact3 & assump1 -> int1: ãã®ã¿ãã¿ã¡ã
Lv.40ã¯å
·äœåããªã; int1 & fact8 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ããªãããããã¯å®ããã©ã¡ããã ; int3 & fact5 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA}{a} v {AB}{a}); fact3 & assump1 -> int1: ¬{B}{b}; int1 & fact8 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} v {AB}{a}); int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ããªãããããã¯å
·äœåããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact2: ãã®ã¿ãã¿ã¡ã
Lv.40ã¯ãããã£ãœã fact3: ããããã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ãããšããããšã¯ãªãããããã¯å®ãããããã¯äž¡æ¹ã§ããããšããããšã¯æãç«ããªããšãããšãã®ã¿ãã¿ã¡ã
Lv.40ã¯å
·äœåããªã fact4: ããã®ãŸãªãŸã«ã
Lv.52ã¯æ¶åãæãããšããããšã¯çå®ã fact5: ãããã®ãŸãªãŸã«ã
Lv.52ããã«ãã€ã³ãããšããããšã¯ãªããå®ããšãããšãã®ãŽããŽãLv.53ã¯ãããã£ãœã fact6: ããã®ãœããœãLv.80ã¯å®ãããšããããšã¯åœã§ãªã fact7: ãã®ãŸãªãŸã«ã
Lv.52ãå®ããªãããããã¯ãããã£ãœãããããã¯äž¡æ¹ãšããªããã®ãŽããŽãLv.53ã¯ãã«ãã€ã³ãã fact8: ãã®ã¿ãã¿ã¡ã
Lv.40ã¯å
·äœåãã ; $hypothesis$ = ãã®ãŽããŽãLv.53ã¯ãããã£ãœããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããããã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ããªãããŸãã¯å®ããäž¡æ¹ã ããšããããšã¯äºå®ãšç°ãªã; fact3 & assump1 -> int1: ãã®ã¿ãã¿ã¡ã
Lv.40ã¯å
·äœåããªã; int1 & fact8 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ãŸãªãŸã«ã
Lv.52ã¯ãã«ãã€ã³ããªãããããã¯å®ããã©ã¡ããã ; int3 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{a} v {B}{a}) fact2: {A}{b} fact3: ¬(¬{AA}{a} v {AB}{a}) -> ¬{B}{b} fact4: {DO}{a} fact5: (¬{AA}{a} v {AB}{a}) -> {A}{c} fact6: {AB}{gi} fact7: (¬{AB}{a} v {A}{a}) -> {AA}{c} fact8: {B}{b} ; $hypothesis$ = ¬{A}{c} ; $proof$ = | void -> assump1: ¬(¬{AA}{a} v {AB}{a}); fact3 & assump1 -> int1: ¬{B}{b}; int1 & fact8 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA}{a} v {AB}{a}); int3 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ãã·ãã·ã¡ãLv.60äºä»¶ã¯çããªãããšããããšã¯ééãã§ãããšããããšã¯ãªã | ¬{A} | fact1: ãŸããŸã¡ãLv.2äºä»¶ãçºçãã fact2: ã¿ãã¿ã¡ã
Lv.88äºä»¶ãèµ·ãã fact3: ã¿ã«ãã¿ã¡ãLv.26äºä»¶ã¯èµ·ãããªã fact4: ãã·ãã·ã¡ãLv.60äºä»¶ãèµ·ããããã®äžã¿ãã¿ã¡ã
Lv.88äºä»¶ãèµ·ããããšããããšã¯ãŸããŸã¡ãLv.2äºä»¶ã¯èµ·ããªããšããããšãçºçããã fact5: ã·ãã·ã¡ãLv.60äºä»¶ã¯ãã¿ãã¿ã¡ã
Lv.88äºä»¶ã¯çºçããªãããšããããšã«èµ·å ãã fact6: ãå¿ãŸããããšããããšã¯çããªãããšããããšã¯ãã¿ãã¿ã¡ã
Lv.88äºä»¶ã§ã¯ãªããŠãŸããŸã¡ãLv.2äºä»¶ãèµ·ããããšããããšãçºçããã fact7: ããŸããŸã¡ãLv.2äºä»¶ã¯çºçããªãããããã¯å¿ãŸããããšããããšã¯çºçããªããäž¡æ¹ãšãã ããšããããšã¯ãæ¶åãæããšããããšã¯èµ·ãããªãããšããããšã«ãããããã | fact1: {C} fact2: {B} fact3: ¬{BM} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> {A} fact6: ¬{D} -> (¬{B} & {C}) fact7: ¬{E} -> (¬{C} v ¬{D}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã¡ãLv.60äºä»¶ãçºçãã; assump1 & fact2 -> int1: ã·ãã·ã¡ãLv.60äºä»¶ãšã¿ãã¿ã¡ã
Lv.88äºä»¶ãçºçãã; int1 & fact4 -> int2: ãŸããŸã¡ãLv.2äºä»¶ã¯çºçããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ãããã·ãã·ã¡ãLv.60äºä»¶ãçºçãã | {A} | [] | 7 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŸããŸã¡ãLv.2äºä»¶ãçºçãã fact2: ã¿ãã¿ã¡ã
Lv.88äºä»¶ãèµ·ãã fact3: ã¿ã«ãã¿ã¡ãLv.26äºä»¶ã¯èµ·ãããªã fact4: ãã·ãã·ã¡ãLv.60äºä»¶ãèµ·ããããã®äžã¿ãã¿ã¡ã
Lv.88äºä»¶ãèµ·ããããšããããšã¯ãŸããŸã¡ãLv.2äºä»¶ã¯èµ·ããªããšããããšãçºçããã fact5: ã·ãã·ã¡ãLv.60äºä»¶ã¯ãã¿ãã¿ã¡ã
Lv.88äºä»¶ã¯çºçããªãããšããããšã«èµ·å ãã fact6: ãå¿ãŸããããšããããšã¯çããªãããšããããšã¯ãã¿ãã¿ã¡ã
Lv.88äºä»¶ã§ã¯ãªããŠãŸããŸã¡ãLv.2äºä»¶ãèµ·ããããšããããšãçºçããã fact7: ããŸããŸã¡ãLv.2äºä»¶ã¯çºçããªãããããã¯å¿ãŸããããšããããšã¯çºçããªããäž¡æ¹ãšãã ããšããããšã¯ãæ¶åãæããšããããšã¯èµ·ãããªãããšããããšã«ãããããã ; $hypothesis$ = ãã·ãã·ã¡ãLv.60äºä»¶ã¯çããªãããšããããšã¯ééãã§ãããšããããšã¯ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã¡ãLv.60äºä»¶ãçºçãã; assump1 & fact2 -> int1: ã·ãã·ã¡ãLv.60äºä»¶ãšã¿ãã¿ã¡ã
Lv.88äºä»¶ãçºçãã; int1 & fact4 -> int2: ãŸããŸã¡ãLv.2äºä»¶ã¯çºçããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} fact2: {B} fact3: ¬{BM} fact4: ({A} & {B}) -> ¬{C} fact5: ¬{B} -> {A} fact6: ¬{D} -> (¬{B} & {C}) fact7: ¬{E} -> (¬{C} v ¬{D}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __PROVED__ |
0.3 | ãã®ãŸããŸãLv.27ã¯éè¿ããªã | ¬{D}{b} | fact1: ãã®ã·ã¡ãã·ã«Lv.42ã¯èªãé£ããªããããã眮ãæã fact2: ä»®ã«ãã®ã·ã¡ãã·ã«Lv.42ãæãã¿ç¡ããšããã°ãã®ã·ã¡ãã·ã«Lv.42ã¯å±å€æ¿å±ãã fact3: ãã®ã·ã¡ãã·ã«Lv.42ã¯èªãé£ããªãããã©éè¿ã fact4: ä»®ã«èªãé£ãã¢ã³ã¹ã¿ãŒã眮ãæããšãããšããã¯æãã¿ç¡ã fact5: ãèŠããæããªãã¢ã³ã¹ã¿ãŒã¯æ®çºãæããããŸãã«é·ããããããšããããšã¯æãç«ã€ fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èªãé£ããªãã眮ãæããšããã°ããã¯æãã¿ç¡ã fact7: ãããã®ã·ã¡ãã·ã«Lv.42ãå±å€æ¿å±ããã°ãã®ãŸããŸãLv.75ã¯æ®çºãæã fact8: ãã®ã·ã¡ãã·ã«Lv.42ã¯æšããã fact9: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ®çºãæããªããå±å€æ¿å±ãããšããããšã¯ãªããããã¯æãã¿ç¡ãããšããããšã¯æãç«ããªã | fact1: (¬{AA}{aa} & {AB}{aa}) fact2: {B}{aa} -> {A}{aa} fact3: (¬{AA}{aa} & {D}{aa}) fact4: (x): ({AA}x & {AB}x) -> {B}x fact5: (x): ¬{F}x -> ({C}x & {E}x) fact6: (x): (¬{AA}x & {AB}x) -> {B}x fact7: {A}{aa} -> {C}{a} fact8: {GG}{aa} fact9: (x): {C}x -> ¬(¬{A}x & {B}x) | [
"fact6 -> int1: ãããã®ã·ã¡ãã·ã«Lv.42ãèªãé£ããªãäžæ¹ã§çœ®ãæããªãããã¯æãã¿ç¡ã; int1 & fact1 -> int2: ãã®ã·ã¡ãã·ã«Lv.42ã¯æãã¿ç¡ã; int2 & fact2 -> int3: ãã®ã·ã¡ãã·ã«Lv.42ã¯å±å€æ¿å±ãã; int3 & fact7 -> int4: ãã®ãŸããŸãLv.75ã¯æ®çºãæã;"
] | [
"fact6 -> int1: (¬{AA}{aa} & {AB}{aa}) -> {B}{aa}; int1 & fact1 -> int2: {B}{aa}; int2 & fact2 -> int3: {A}{aa}; int3 & fact7 -> int4: {C}{a};"
] | ãã®ãŸããŸãLv.27ã¯éè¿ããªã | ¬{D}{b} | [
"fact11 -> int5: ãããããã®ãŸããŸãLv.27ã¯æ®çºãæãããšããããšã¯ç¢ºããªãã°ãããã¯å±å€æ¿å±ããªããŠããã¯æãã¿ç¡ãããšããããšã¯äºå®ãšç°ãªã; fact10 -> int6: ä»®ã«ãã®ãŸããŸãLv.27ãèŠããæããšããããšã¯ãªããªãã°ããã¯æ®çºãæããå ããŠé·ãããã;"
] | 5 | 5 | 5 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã·ã¡ãã·ã«Lv.42ã¯èªãé£ããªããããã眮ãæã fact2: ä»®ã«ãã®ã·ã¡ãã·ã«Lv.42ãæãã¿ç¡ããšããã°ãã®ã·ã¡ãã·ã«Lv.42ã¯å±å€æ¿å±ãã fact3: ãã®ã·ã¡ãã·ã«Lv.42ã¯èªãé£ããªãããã©éè¿ã fact4: ä»®ã«èªãé£ãã¢ã³ã¹ã¿ãŒã眮ãæããšãããšããã¯æãã¿ç¡ã fact5: ãèŠããæããªãã¢ã³ã¹ã¿ãŒã¯æ®çºãæããããŸãã«é·ããããããšããããšã¯æãç«ã€ fact6: ãããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯èªãé£ããªãã眮ãæããšããã°ããã¯æãã¿ç¡ã fact7: ãããã®ã·ã¡ãã·ã«Lv.42ãå±å€æ¿å±ããã°ãã®ãŸããŸãLv.75ã¯æ®çºãæã fact8: ãã®ã·ã¡ãã·ã«Lv.42ã¯æšããã fact9: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯æ®çºãæããªããå±å€æ¿å±ãããšããããšã¯ãªããããã¯æãã¿ç¡ãããšããããšã¯æãç«ããªã ; $hypothesis$ = ãã®ãŸããŸãLv.27ã¯éè¿ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{AA}{aa} & {AB}{aa}) fact2: {B}{aa} -> {A}{aa} fact3: (¬{AA}{aa} & {D}{aa}) fact4: (x): ({AA}x & {AB}x) -> {B}x fact5: (x): ¬{F}x -> ({C}x & {E}x) fact6: (x): (¬{AA}x & {AB}x) -> {B}x fact7: {A}{aa} -> {C}{a} fact8: {GG}{aa} fact9: (x): {C}x -> ¬(¬{A}x & {B}x) ; $hypothesis$ = ¬{D}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | åŸ
ã¡é ãããšããããšãçºçããããŸãã¯çµ¡ãŸãåãããšã¯çããªããäž¡æ¹ã§ãã | ({D} v ¬{C}) | fact1: ãããœããœã«Lv.33äºä»¶ã¯èµ·ãããªããªãã°ããœã«ããœã®Lv.15äºä»¶ãçºçããªãããŸãã¯ãŽã«ãŽã¡ãLv.6äºä»¶ã¯çºçããªããäž¡æ¹ãšãã ããšããããšã¯ééãã§ãã fact2: ããœããœã«Lv.33äºä»¶ãèµ·ãããã¿ãã¿ã¡ãLv.93äºä»¶ãèµ·ããããšããããšã¯äºå®ãšç°ãªãã°ãœããœã«Lv.33äºä»¶ã¯çããªã fact3: ããæ»ãé£ããšããããšã¯èµ·ããªããªãã°ãåŸ
ã¡é ãããšããããšãèµ·ããããããã¯çµ¡ãŸãåãããšã¯èµ·ããªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯ééãã§ãã fact4: ãœã«ããœã®Lv.15äºä»¶ãšãŽã«ãŽã¡ãLv.6äºä»¶äž¡æ¹ãèµ·ãã | fact1: ¬{F} -> ¬(¬{B} v ¬{E}) fact2: ¬({F} & {G}) -> ¬{F} fact3: ¬{A} -> ¬({D} v ¬{C}) fact4: ({B} & {E}) | [
"fact4 -> int1: ãœã«ããœã®Lv.15äºä»¶ãçãã; int1 -> int2: æ»ãé£ããšããããšãèµ·ããããœã«ããœã®Lv.15äºä»¶ãèµ·ãã;"
] | [
"fact4 -> int1: {B}; int1 -> int2: ({A} v {B});"
] | ãåŸ
ã¡é ãããšããããšãèµ·ããããŸãã¯çµ¡ãŸãåãããšã¯çããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯èª€ã£ãŠãã | ¬({D} v ¬{C}) | [] | 8 | 4 | 4 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãããœããœã«Lv.33äºä»¶ã¯èµ·ãããªããªãã°ããœã«ããœã®Lv.15äºä»¶ãçºçããªãããŸãã¯ãŽã«ãŽã¡ãLv.6äºä»¶ã¯çºçããªããäž¡æ¹ãšãã ããšããããšã¯ééãã§ãã fact2: ããœããœã«Lv.33äºä»¶ãèµ·ãããã¿ãã¿ã¡ãLv.93äºä»¶ãèµ·ããããšããããšã¯äºå®ãšç°ãªãã°ãœããœã«Lv.33äºä»¶ã¯çããªã fact3: ããæ»ãé£ããšããããšã¯èµ·ããªããªãã°ãåŸ
ã¡é ãããšããããšãèµ·ããããããã¯çµ¡ãŸãåãããšã¯èµ·ããªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯ééãã§ãã fact4: ãœã«ããœã®Lv.15äºä»¶ãšãŽã«ãŽã¡ãLv.6äºä»¶äž¡æ¹ãèµ·ãã ; $hypothesis$ = åŸ
ã¡é ãããšããããšãçºçããããŸãã¯çµ¡ãŸãåãããšã¯çããªããäž¡æ¹ã§ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{F} -> ¬(¬{B} v ¬{E}) fact2: ¬({F} & {G}) -> ¬{F} fact3: ¬{A} -> ¬({D} v ¬{C}) fact4: ({B} & {E}) ; $hypothesis$ = ({D} v ¬{C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ã¡ãã·ã«Lv.97ãäœæ°ç¡ããªãã°ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ããªãããšããããšã¯èª€ã£ãŠãã | ¬({B}{a} -> ¬{C}{b}) | fact1: ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ãã fact2: ããããã®ã·ã¡ãã·ã«Lv.97ãã匱ããäœæ°ç¡ãããããã¯äž¡æ¹ãšãã ãšããã°ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ãããšããããšã¯ãªã | fact1: {C}{b} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã¡ãã·ã«Lv.97ã¯äœæ°ç¡ã; assump1 -> int1: ãã®ã·ã¡ãã·ã«Lv.97ã¯ã匱ãããããã¯äœæ°ç¡ã; int1 & fact2 -> int2: ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ããªã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 2 | 4 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ãã fact2: ããããã®ã·ã¡ãã·ã«Lv.97ãã匱ããäœæ°ç¡ãããããã¯äž¡æ¹ãšãã ãšããã°ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ãããšããããšã¯ãªã ; $hypothesis$ = ããã®ã·ã¡ãã·ã«Lv.97ãäœæ°ç¡ããªãã°ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ããªãããšããããšã¯èª€ã£ãŠãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã¡ãã·ã«Lv.97ã¯äœæ°ç¡ã; assump1 -> int1: ãã®ã·ã¡ãã·ã«Lv.97ã¯ã匱ãããããã¯äœæ°ç¡ã; int1 & fact2 -> int2: ãã®ãã«ããã¡ã
Lv.11ã¯ææ²ããªã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{b} fact2: ({A}{a} v {B}{a}) -> ¬{C}{b} ; $hypothesis$ = ¬({B}{a} -> ¬{C}{b}) ; $proof$ = | void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact2 -> int2: ¬{C}{b}; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | çã£çœããšããããšãèµ·ãã | {B} | fact1: ã¿ãã¿ãªLv.79äºä»¶ã¯çºçããªã fact2: çžå®¹ããããšãèµ·ãã fact3: ã¿ãªã¿ã¡ãLv.8äºä»¶ãçãããã©æ®ããããšã¯çºçããªã fact4: ã·ã«ãã·ãLv.24äºä»¶ãèµ·ãã fact5: æ°ããšããããšãçãããã©ã¿ãã¿ãªLv.79äºä»¶ã¯çºçããªããšããã°çã£çœããšããããšãçãã | fact1: ¬{AB} fact2: {FH} fact3: ({IP} & ¬{CE}) fact4: {A} fact5: ({AA} & ¬{AB}) -> {B} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ã¿ãã¿ãªLv.79äºä»¶ã¯çºçããªã fact2: çžå®¹ããããšãèµ·ãã fact3: ã¿ãªã¿ã¡ãLv.8äºä»¶ãçãããã©æ®ããããšã¯çºçããªã fact4: ã·ã«ãã·ãLv.24äºä»¶ãèµ·ãã fact5: æ°ããšããããšãçãããã©ã¿ãã¿ãªLv.79äºä»¶ã¯çºçããªããšããã°çã£çœããšããããšãçãã ; $hypothesis$ = çã£çœããšããããšãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{AB} fact2: {FH} fact3: ({IP} & ¬{CE}) fact4: {A} fact5: ({AA} & ¬{AB}) -> {B} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.16ã¯åªãçºãããªããæšéããªãããããã¯äž¡æ¹ãšãã | (¬{A}{a} v ¬{B}{a}) | fact1: ããä»®ã«ããã®ã¿ãã¿ã«ã
Lv.16ã¯åªãçºãããªãããšããããšã¯æãç«ã€ãªããã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ããªã fact2: ãã®ã¿ãã¿ã«ã
Lv.16ãæšéããªããšããã°ãã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ããªã fact3: ãã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯åªãçºãããªããšãããšãããã¯åŸ¡é£ãã«æããªãããããã¯ç¹ã蟌ãŸãªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯åœã§ãã | fact1: ¬{A}{a} -> ¬{C}{c} fact2: ¬{B}{a} -> ¬{C}{c} fact3: {C}{c} fact4: (x): ¬{A}x -> ¬(¬{JF}x v ¬{EE}x) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.16ã¯åªãçºãããªããæšéããªãããããã¯äž¡æ¹ãšãã ; assump1 & fact1 & fact2 -> int1: ãã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ããšããããšã¯ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: (¬{A}{a} v ¬{B}{a}); assump1 & fact1 & fact2 -> int1: ¬{C}{c}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | ããã®ã¿ã¡ãã¿ã¡ãLv.42ã¯åŸ¡é£ãã«æããšããããšã¯ãªãããããã¯ããã¯ç¹ã蟌ããšããããšã¯ãªããã©ã¡ããã ããšããããšã¯èª€ã£ãŠãã | ¬(¬{JF}{fk} v ¬{EE}{fk}) | [
"fact5 -> int3: ããããã®ã¿ã¡ãã¿ã¡ãLv.42ã¯åªãçºãããªããªãã°ããã®ã¿ã¡ãã¿ã¡ãLv.42ã¯åŸ¡é£ãã«æããšããããšã¯ãªãããŸãã¯ããã¯ç¹ã蟌ãŸãªãããŸãã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã;"
] | 4 | 4 | 3 | 4 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»®ã«ããã®ã¿ãã¿ã«ã
Lv.16ã¯åªãçºãããªãããšããããšã¯æãç«ã€ãªããã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ããªã fact2: ãã®ã¿ãã¿ã«ã
Lv.16ãæšéããªããšããã°ãã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ããªã fact3: ãã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ã fact4: ããããšããã¢ã³ã¹ã¿ãŒã¯åªãçºãããªããšãããšãããã¯åŸ¡é£ãã«æããªãããããã¯ç¹ã蟌ãŸãªãããããã¯äž¡æ¹ãšãã§ããããšããããšã¯åœã§ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.16ã¯åªãçºãããªããæšéããªãããããã¯äž¡æ¹ãšãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã¿ãã¿ã«ã
Lv.16ã¯åªãçºãããªããæšéããªãããããã¯äž¡æ¹ãšãã ; assump1 & fact1 & fact2 -> int1: ãã®ã·ã«ãã·ãLv.5ã¯æž¬ãé£ããšããããšã¯ãªã; int1 & fact3 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{A}{a} -> ¬{C}{c} fact2: ¬{B}{a} -> ¬{C}{c} fact3: {C}{c} fact4: (x): ¬{A}x -> ¬(¬{JF}x v ¬{EE}x) ; $hypothesis$ = (¬{A}{a} v ¬{B}{a}) ; $proof$ = | void -> assump1: (¬{A}{a} v ¬{B}{a}); assump1 & fact1 & fact2 -> int1: ¬{C}{c}; int1 & fact3 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã«ãœãLv.36ã¯çåãç¶ãããšããããšã¯ãªã | ¬{D}{b} | fact1: ããããã®ã·ã¡ã
ã·ãLv.77ãçšè¯ãããããã¯å·®ãåºããŸããããããã¯äž¡æ¹ã§ãããªããã®ãœã«ãœãLv.36ã¯æç¶é泚ããªã fact2: ãã®ã·ã¡ã
ã·ãLv.77ã¯å°ããŠããã«çšè¯ã fact3: ããä»®ã«ãã®ã·ã¡ã
ã·ãLv.77ãæç¶é泚ãããšããããã®ãœã«ãœãLv.36ã¯çåãç¶ããªã fact4: ãã®ã·ã¡ã
ã·ãLv.77ã¯å°ã fact5: ãããã®ãœã«ãœãLv.36ãæç¶é泚ããªããªãã°ããã¯çåãç¶ããªã fact6: ããããã¢ã³ã¹ã¿ãŒã¯å°ã fact7: ãããã¢ã³ã¹ã¿ãŒãçšè¯ããªãããã¯çåãç¶ããããšããããšã¯ç¢ºãã | fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: ({E}{a} & {A}{a}) fact3: {C}{a} -> ¬{D}{b} fact4: {E}{a} fact5: ¬{C}{b} -> ¬{D}{b} fact6: (x): {E}x fact7: (x): {A}x -> {D}x | [
"fact2 -> int1: ãã®ã·ã¡ã
ã·ãLv.77ã¯çšè¯ã; int1 -> int2: ãã®ã·ã¡ã
ã·ãLv.77ã¯çšè¯ããããã¯å·®ãåºããŸãã; int2 & fact1 -> int3: ãã®ãœã«ãœãLv.36ã¯æç¶é泚ããªã; int3 & fact5 -> hypothesis;"
] | [
"fact2 -> int1: {A}{a}; int1 -> int2: ({A}{a} v {B}{a}); int2 & fact1 -> int3: ¬{C}{b}; int3 & fact5 -> hypothesis;"
] | ãã®ãœã«ãœãLv.36ã¯çåãç¶ãã | {D}{b} | [
"fact9 -> int4: ããä»®ã«ããã®ãœã«ãœãLv.36ã¯çšè¯ãããšããããšã¯æãç«ã€ãšããã°çåãç¶ãã; fact8 -> int5: ãã®ã·ã¡ã
ã·ãLv.77ã¯å°ã;"
] | 6 | 4 | 4 | 4 | 4 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ããããã®ã·ã¡ã
ã·ãLv.77ãçšè¯ãããããã¯å·®ãåºããŸããããããã¯äž¡æ¹ã§ãããªããã®ãœã«ãœãLv.36ã¯æç¶é泚ããªã fact2: ãã®ã·ã¡ã
ã·ãLv.77ã¯å°ããŠããã«çšè¯ã fact3: ããä»®ã«ãã®ã·ã¡ã
ã·ãLv.77ãæç¶é泚ãããšããããã®ãœã«ãœãLv.36ã¯çåãç¶ããªã fact4: ãã®ã·ã¡ã
ã·ãLv.77ã¯å°ã fact5: ãããã®ãœã«ãœãLv.36ãæç¶é泚ããªããªãã°ããã¯çåãç¶ããªã fact6: ããããã¢ã³ã¹ã¿ãŒã¯å°ã fact7: ãããã¢ã³ã¹ã¿ãŒãçšè¯ããªãããã¯çåãç¶ããããšããããšã¯ç¢ºãã ; $hypothesis$ = ãã®ãœã«ãœãLv.36ã¯çåãç¶ãããšããããšã¯ãªã ; $proof$ = | fact2 -> int1: ãã®ã·ã¡ã
ã·ãLv.77ã¯çšè¯ã; int1 -> int2: ãã®ã·ã¡ã
ã·ãLv.77ã¯çšè¯ããããã¯å·®ãåºããŸãã; int2 & fact1 -> int3: ãã®ãœã«ãœãLv.36ã¯æç¶é泚ããªã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} v {B}{a}) -> ¬{C}{b} fact2: ({E}{a} & {A}{a}) fact3: {C}{a} -> ¬{D}{b} fact4: {E}{a} fact5: ¬{C}{b} -> ¬{D}{b} fact6: (x): {E}x fact7: (x): {A}x -> {D}x ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact2 -> int1: {A}{a}; int1 -> int2: ({A}{a} v {B}{a}); int2 & fact1 -> int3: ¬{C}{b}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ãã·ãªLv.48ã¯æããããŠäœã | ({D}{b} & {E}{b}) | fact1: ãããã®ã·ãã·ãLv.4ã¯å¡©ã£èŸããšãããšããã®ãŽããŽãLv.41ã¯åŒãèµ·ããæãããšããããšã¯æãç«ã€ fact2: ãããããã®ã·ãã·ãLv.4ãèŸæ±åŒ·ããªãã°ãã®ãŽããŽãLv.41ã¯åŒãèµ·ããæãããšããããšã¯æ¬åœã§ãã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èŸæ±åŒ·ããå¡©ã£èŸãããããã¯äž¡æ¹ãšãã fact4: ä»®ã«ãã®ãŽããŽãLv.41ãåŒãèµ·ããæããšããã°ãã®ã·ãã·ãªLv.48ã¯æããã fact5: ãã®ã·ãã·ãªLv.48ã¯äœã | fact1: {B}{a} -> {C}{c} fact2: {A}{a} -> {C}{c} fact3: (x): ({A}x v {B}x) fact4: {C}{c} -> {D}{b} fact5: {E}{b} | [
"fact3 -> int1: ãã®ã·ãã·ãLv.4ã¯èŸæ±åŒ·ãããŸãã¯å¡©ã£èŸã; int1 & fact2 & fact1 -> int2: ãã®ãŽããŽãLv.41ã¯åŒãèµ·ããæã; int2 & fact4 -> int3: ãã®ã·ãã·ãªLv.48ã¯æããã; int3 & fact5 -> hypothesis;"
] | [
"fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact2 & fact1 -> int2: {C}{c}; int2 & fact4 -> int3: {D}{b}; int3 & fact5 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãããã®ã·ãã·ãLv.4ã¯å¡©ã£èŸããšãããšããã®ãŽããŽãLv.41ã¯åŒãèµ·ããæãããšããããšã¯æãç«ã€ fact2: ãããããã®ã·ãã·ãLv.4ãèŸæ±åŒ·ããªãã°ãã®ãŽããŽãLv.41ã¯åŒãèµ·ããæãããšããããšã¯æ¬åœã§ãã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯èŸæ±åŒ·ããå¡©ã£èŸãããããã¯äž¡æ¹ãšãã fact4: ä»®ã«ãã®ãŽããŽãLv.41ãåŒãèµ·ããæããšããã°ãã®ã·ãã·ãªLv.48ã¯æããã fact5: ãã®ã·ãã·ãªLv.48ã¯äœã ; $hypothesis$ = ãã®ã·ãã·ãªLv.48ã¯æããããŠäœã ; $proof$ = | fact3 -> int1: ãã®ã·ãã·ãLv.4ã¯èŸæ±åŒ·ãããŸãã¯å¡©ã£èŸã; int1 & fact2 & fact1 -> int2: ãã®ãŽããŽãLv.41ã¯åŒãèµ·ããæã; int2 & fact4 -> int3: ãã®ã·ãã·ãªLv.48ã¯æããã; int3 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} -> {C}{c} fact2: {A}{a} -> {C}{c} fact3: (x): ({A}x v {B}x) fact4: {C}{c} -> {D}{b} fact5: {E}{b} ; $hypothesis$ = ({D}{b} & {E}{b}) ; $proof$ = | fact3 -> int1: ({A}{a} v {B}{a}); int1 & fact2 & fact1 -> int2: {C}{c}; int2 & fact4 -> int3: {D}{b}; int3 & fact5 -> hypothesis; __PROVED__ |
0.3 | ãœããœãLv.46äºä»¶ãèµ·ãã | {E} | fact1: ãå£è«ããããšãèµ·ãããªãäžæ¹ã§ã·ãã·ãLv.20äºä»¶ã¯çºçããããšããããšã¯ãœããœãLv.46äºä»¶ãé»ã fact2: ãããã¡ã
ãã¡ãLv.70äºä»¶ããããã¯ã¿ãªã¿ã¡ãLv.76äºä»¶ãäž¡æ¹ãçãããšãããšå£è«ããããšã¯èµ·ããªã fact3: ããããããããšããã³åºã
ãããšããããšãçãã fact4: ãã¡ã
ãã¡ãLv.70äºä»¶ãå£è«ããããšã¯çããªããšããããšã«ç¹ãã fact5: ã·ãã·ãLv.20äºä»¶ãåºã
ãããšããããšããã³ãŸã®ãŸã«Lv.49äºä»¶ã¯çºçããã«é²ããã fact6: ã·ãã·ãLv.20äºä»¶ãèµ·ãã fact7: åŒã¶ããšãçºçãã | fact1: (¬{C} & {D}) -> ¬{E} fact2: ({A} v {B}) -> ¬{C} fact3: ({H} & {F}) fact4: {A} -> ¬{C} fact5: ({F} & {G}) -> ¬{D} fact6: {D} fact7: {GF} | [] | [] | ãœããœãLv.46äºä»¶ãèµ·ãã | {E} | [
"fact9 -> int1: åºã
ãããšããããšãçºçãã;"
] | 7 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãå£è«ããããšãèµ·ãããªãäžæ¹ã§ã·ãã·ãLv.20äºä»¶ã¯çºçããããšããããšã¯ãœããœãLv.46äºä»¶ãé»ã fact2: ãããã¡ã
ãã¡ãLv.70äºä»¶ããããã¯ã¿ãªã¿ã¡ãLv.76äºä»¶ãäž¡æ¹ãçãããšãããšå£è«ããããšã¯èµ·ããªã fact3: ããããããããšããã³åºã
ãããšããããšãçãã fact4: ãã¡ã
ãã¡ãLv.70äºä»¶ãå£è«ããããšã¯çããªããšããããšã«ç¹ãã fact5: ã·ãã·ãLv.20äºä»¶ãåºã
ãããšããããšããã³ãŸã®ãŸã«Lv.49äºä»¶ã¯çºçããã«é²ããã fact6: ã·ãã·ãLv.20äºä»¶ãèµ·ãã fact7: åŒã¶ããšãçºçãã ; $hypothesis$ = ãœããœãLv.46äºä»¶ãèµ·ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (¬{C} & {D}) -> ¬{E} fact2: ({A} v {B}) -> ¬{C} fact3: ({H} & {F}) fact4: {A} -> ¬{C} fact5: ({F} & {G}) -> ¬{D} fact6: {D} fact7: {GF} ; $hypothesis$ = {E} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãœã¡ããœã®Lv.18ã¯ç€Œåæ£ãããªã | ¬{D}{a} | fact1: ããããã®ãœã¡ããœã®Lv.18ãéãé£ããšããããã®ãœã¡ããœã®Lv.18ã¯åºã
ãã fact2: ããä»®ã«ãã®ãœã¡ããœã®Lv.18ãå
¶ãã£ãœããªããšãããšéãé£ããŠæŽã«ããã€ãªã fact3: ãã®ãœã¡ããœã®Lv.18ã¯å
¶ãã£ãœããªã fact4: ä»®ã«ãã®ãœã¡ããœã®Lv.18ãåºã
ãããšããã°ããã¯ç€Œåæ£ãã | fact1: {A}{a} -> {C}{a} fact2: ¬{E}{a} -> ({A}{a} & {B}{a}) fact3: ¬{E}{a} fact4: {C}{a} -> {D}{a} | [
"fact3 & fact2 -> int1: ãã®ãœã¡ããœã®Lv.18ã¯éãé£ãããããããã€ãªã; int1 -> int2: ããã®ãœã¡ããœã®Lv.18ã¯éãé£ãããšããããšã¯æ£ãã; int2 & fact1 -> int3: ãã®ãœã¡ããœã®Lv.18ã¯åºã
ãã; int3 & fact4 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact1 -> int3: {C}{a}; int3 & fact4 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããããã®ãœã¡ããœã®Lv.18ãéãé£ããšããããã®ãœã¡ããœã®Lv.18ã¯åºã
ãã fact2: ããä»®ã«ãã®ãœã¡ããœã®Lv.18ãå
¶ãã£ãœããªããšãããšéãé£ããŠæŽã«ããã€ãªã fact3: ãã®ãœã¡ããœã®Lv.18ã¯å
¶ãã£ãœããªã fact4: ä»®ã«ãã®ãœã¡ããœã®Lv.18ãåºã
ãããšããã°ããã¯ç€Œåæ£ãã ; $hypothesis$ = ãã®ãœã¡ããœã®Lv.18ã¯ç€Œåæ£ãããªã ; $proof$ = | fact3 & fact2 -> int1: ãã®ãœã¡ããœã®Lv.18ã¯éãé£ãããããããã€ãªã; int1 -> int2: ããã®ãœã¡ããœã®Lv.18ã¯éãé£ãããšããããšã¯æ£ãã; int2 & fact1 -> int3: ãã®ãœã¡ããœã®Lv.18ã¯åºã
ãã; int3 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {C}{a} fact2: ¬{E}{a} -> ({A}{a} & {B}{a}) fact3: ¬{E}{a} fact4: {C}{a} -> {D}{a} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact3 & fact2 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {A}{a}; int2 & fact1 -> int3: {C}{a}; int3 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãããŸã ãã£ããããšããããšã¯çããªãããšããããšã¯è€ãè®ããããšã«é»ãŸããããšããããšã¯äºå®ãšç°ãªã | ¬({A} -> {C}) | fact1: èŠããæããšããããšã¯ãç¬å åºæ¥ãããšãçãããã¿ã£ãšããªããšããããšã¯èµ·ãããªãããšããããšããããã fact2: ãç¬å åºæ¥ãããšãçºçããããããã¯ã¿ã£ãšããªããšããããšã¯çºçããªãããšããããšã¯ãã¿ã£ãšããªããšããããšã¯çããªãããšããããšã«ç¹ãã fact3: ãŽã®ãŽãªLv.57äºä»¶ã¯çããªããªããè€ãè®ããããšããã³åè«ã£ãœããšããããšäž¡æ¹ãèµ·ããããšããããšã¯ç¢ºãã§ãã fact4: ãŽã®ãŽãªLv.57äºä»¶ãçãããšããããšã¯è€ãè®ããããšãå¥æ©ã fact5: ãŸã ãã£ããããšããããšã¯ãŽã®ãŽãªLv.57äºä»¶ããã£ããã§ãã | fact1: {E} -> ({F} v ¬{D}) fact2: ({F} v ¬{D}) -> ¬{D} fact3: ¬{B} -> ({A} & {HG}) fact4: {A} -> {B} fact5: {B} -> {C} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããè€ãè®ããããšãçãã; fact4 & assump1 -> int1: ãŽã®ãŽãªLv.57äºä»¶ãèµ·ãã; int1 & fact5 -> int2: ãŸã ãã£ããããšããããšãçãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}; fact4 & assump1 -> int1: {B}; int1 & fact5 -> int2: {C}; [assump1] & int2 -> hypothesis;"
] | åè«ã£ãœããšããããšãçºçãã | {HG} | [] | 8 | 4 | 3 | 4 | 3 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: èŠããæããšããããšã¯ãç¬å åºæ¥ãããšãçãããã¿ã£ãšããªããšããããšã¯èµ·ãããªãããšããããšããããã fact2: ãç¬å åºæ¥ãããšãçºçããããããã¯ã¿ã£ãšããªããšããããšã¯çºçããªãããšããããšã¯ãã¿ã£ãšããªããšããããšã¯çããªãããšããããšã«ç¹ãã fact3: ãŽã®ãŽãªLv.57äºä»¶ã¯çããªããªããè€ãè®ããããšããã³åè«ã£ãœããšããããšäž¡æ¹ãèµ·ããããšããããšã¯ç¢ºãã§ãã fact4: ãŽã®ãŽãªLv.57äºä»¶ãçãããšããããšã¯è€ãè®ããããšãå¥æ©ã fact5: ãŸã ãã£ããããšããããšã¯ãŽã®ãŽãªLv.57äºä»¶ããã£ããã§ãã ; $hypothesis$ = ãããŸã ãã£ããããšããããšã¯çããªãããšããããšã¯è€ãè®ããããšã«é»ãŸããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããè€ãè®ããããšãçãã; fact4 & assump1 -> int1: ãŽã®ãŽãªLv.57äºä»¶ãèµ·ãã; int1 & fact5 -> int2: ãŸã ãã£ããããšããããšãçãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {E} -> ({F} v ¬{D}) fact2: ({F} v ¬{D}) -> ¬{D} fact3: ¬{B} -> ({A} & {HG}) fact4: {A} -> {B} fact5: {B} -> {C} ; $hypothesis$ = ¬({A} -> {C}) ; $proof$ = | void -> assump1: {A}; fact4 & assump1 -> int1: {B}; int1 & fact5 -> int2: {C}; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | æå æžããããšãèµ·ãã | {B} | fact1: ãŽã«ããŽã«ãLv.56äºä»¶ãæå æžããããšã¯çããªããšããããšãé»æ¢ãã fact2: ãŽã«ããŽã«ãLv.56äºä»¶ãçºçãã fact3: ãã·ãªã·ã¡ãLv.87äºä»¶ãçããããããã¯æå æžããããšã¯çããªããã©ã¡ããã ããšããããšã¯äºå®ã ãšãããšæå æžããããšã¯çºçããªã | fact1: {A} -> {B} fact2: {A} fact3: ({C} v ¬{B}) -> ¬{B} | [
"fact2 -> int1: ãŽã«ããŽã«ãLv.56äºä»¶ãçºçãã; int1 & fact1 -> hypothesis;"
] | [
"fact2 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | ãŽããŽã«ãLv.35äºä»¶ãçãã | {JD} | [] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãŽã«ããŽã«ãLv.56äºä»¶ãæå æžããããšã¯çããªããšããããšãé»æ¢ãã fact2: ãŽã«ããŽã«ãLv.56äºä»¶ãçºçãã fact3: ãã·ãªã·ã¡ãLv.87äºä»¶ãçããããããã¯æå æžããããšã¯çããªããã©ã¡ããã ããšããããšã¯äºå®ã ãšãããšæå æžããããšã¯çºçããªã ; $hypothesis$ = æå æžããããšãèµ·ãã ; $proof$ = | fact2 -> int1: ãŽã«ããŽã«ãLv.56äºä»¶ãçºçãã; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {A} -> {B} fact2: {A} fact3: ({C} v ¬{B}) -> ¬{B} ; $hypothesis$ = {B} ; $proof$ = | fact2 -> int1: {A}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | éšããããšããããšãçºçãã | {D} | fact1: ããä»»åœããããšãçºçããªããšããããŸããŸã«ãLv.76äºä»¶ããã³éšããããšããããšã¯çºçãã fact2: ããããŸããŸãLv.13äºä»¶ã¯èµ·ãããªããªã圹ããããšããããšããã³å£ç
©ããšããããšã©ã¡ãããçºçãã fact3: 称è³ããããšãèµ·ãã fact4: ãŽããŽãLv.47äºä»¶ãèµ·ãã fact5: ãå£ç
©ããšããããšãšãŸããŸãLv.13äºä»¶äž¡æ¹ãçºçããããšããããšã¯ãŸããŸã«ãLv.76äºä»¶ã¯çºçããªããšããããšã«èªçºããã fact6: ãŸããŸã«ãLv.76äºä»¶ã¯èµ·ãããªã fact7: ããŸããŸãLv.13äºä»¶ããã³ç§°è³ããããšäž¡æ¹ãšããèµ·ããããšããããšã¯éšããããšããããšãé»ã | fact1: ¬{F} -> ({E} & {D}) fact2: ¬{B} -> ({EB} & {A}) fact3: {C} fact4: {DR} fact5: ¬{E} -> ({A} & {B}) fact6: ¬{E} fact7: ({B} & {C}) -> ¬{D} | [
"fact6 & fact5 -> int1: å£ç
©ããšããããšããã³ãŸããŸãLv.13äºä»¶ãèµ·ãã; int1 -> int2: ãŸããŸãLv.13äºä»¶ãçãã; int2 & fact3 -> int3: ãŸããŸãLv.13äºä»¶ããã³ç§°è³ããããšã©ã¡ãããèµ·ãã; int3 & fact7 -> hypothesis;"
] | [
"fact6 & fact5 -> int1: ({A} & {B}); int1 -> int2: {B}; int2 & fact3 -> int3: ({B} & {C}); int3 & fact7 -> hypothesis;"
] | 圹ããããšããããšãèµ·ãã | {EB} | [] | 7 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããä»»åœããããšãçºçããªããšããããŸããŸã«ãLv.76äºä»¶ããã³éšããããšããããšã¯çºçãã fact2: ããããŸããŸãLv.13äºä»¶ã¯èµ·ãããªããªã圹ããããšããããšããã³å£ç
©ããšããããšã©ã¡ãããçºçãã fact3: 称è³ããããšãèµ·ãã fact4: ãŽããŽãLv.47äºä»¶ãèµ·ãã fact5: ãå£ç
©ããšããããšãšãŸããŸãLv.13äºä»¶äž¡æ¹ãçºçããããšããããšã¯ãŸããŸã«ãLv.76äºä»¶ã¯çºçããªããšããããšã«èªçºããã fact6: ãŸããŸã«ãLv.76äºä»¶ã¯èµ·ãããªã fact7: ããŸããŸãLv.13äºä»¶ããã³ç§°è³ããããšäž¡æ¹ãšããèµ·ããããšããããšã¯éšããããšããããšãé»ã ; $hypothesis$ = éšããããšããããšãçºçãã ; $proof$ = | fact6 & fact5 -> int1: å£ç
©ããšããããšããã³ãŸããŸãLv.13äºä»¶ãèµ·ãã; int1 -> int2: ãŸããŸãLv.13äºä»¶ãçãã; int2 & fact3 -> int3: ãŸããŸãLv.13äºä»¶ããã³ç§°è³ããããšã©ã¡ãããèµ·ãã; int3 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{F} -> ({E} & {D}) fact2: ¬{B} -> ({EB} & {A}) fact3: {C} fact4: {DR} fact5: ¬{E} -> ({A} & {B}) fact6: ¬{E} fact7: ({B} & {C}) -> ¬{D} ; $hypothesis$ = {D} ; $proof$ = | fact6 & fact5 -> int1: ({A} & {B}); int1 -> int2: {B}; int2 & fact3 -> int3: ({B} & {C}); int3 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ç©æããšããããšã¯çããªã | ¬{D} | fact1: ãŽããŽã®Lv.89äºä»¶ãèµ·ãã fact2: ç©æããšããããšãçãããšããããšã¯ã¿ãã¿ãLv.71äºä»¶ã«ãããããã fact3: ãç©æããšããããšãèµ·ãããã¿ãã¿ãLv.71äºä»¶ã¯çããªãããšããããšã¯ãŽããŽã®Lv.89äºä»¶ãçããªããšããããšã¯åå ã fact4: ã·ãã·ãLv.1äºä»¶ãçºçããªããšããããšã¯ãç©æããšããããšãèµ·ããäžæ¹ã§ã¿ãã¿ãLv.71äºä»¶ã¯èµ·ãããªãããšããããšã¯å¥æ©ã fact5: ããããLv.79äºä»¶ã¯ã·ãã·ãLv.1äºä»¶ã«åž°çµãã fact6: ã·ãã·ãLv.1äºä»¶ã¯ã¿ãã¿ãLv.71äºä»¶ãçãããšããããšã®ãã£ãããšãªã fact7: ã§ã£ãããšããããšãèµ·ãããšããããšã¯ãçããšããããšãèµ·ããããšããããšãçãããã | fact1: {E} fact2: {C} -> {D} fact3: ¬{E} -> ({D} & ¬{C}) fact4: ({D} & ¬{C}) -> ¬{B} fact5: {A} -> {B} fact6: {B} -> {C} fact7: {AE} -> {BK} | [] | [] | çŽ æŽããããšããããšãèµ·ãã | {CJ} | [] | 7 | 4 | 4 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãŽããŽã®Lv.89äºä»¶ãèµ·ãã fact2: ç©æããšããããšãçãããšããããšã¯ã¿ãã¿ãLv.71äºä»¶ã«ãããããã fact3: ãç©æããšããããšãèµ·ãããã¿ãã¿ãLv.71äºä»¶ã¯çããªãããšããããšã¯ãŽããŽã®Lv.89äºä»¶ãçããªããšããããšã¯åå ã fact4: ã·ãã·ãLv.1äºä»¶ãçºçããªããšããããšã¯ãç©æããšããããšãèµ·ããäžæ¹ã§ã¿ãã¿ãLv.71äºä»¶ã¯èµ·ãããªãããšããããšã¯å¥æ©ã fact5: ããããLv.79äºä»¶ã¯ã·ãã·ãLv.1äºä»¶ã«åž°çµãã fact6: ã·ãã·ãLv.1äºä»¶ã¯ã¿ãã¿ãLv.71äºä»¶ãçãããšããããšã®ãã£ãããšãªã fact7: ã§ã£ãããšããããšãèµ·ãããšããããšã¯ãçããšããããšãèµ·ããããšããããšãçãããã ; $hypothesis$ = ç©æããšããããšã¯çããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E} fact2: {C} -> {D} fact3: ¬{E} -> ({D} & ¬{C}) fact4: ({D} & ¬{C}) -> ¬{B} fact5: {A} -> {B} fact6: {B} -> {C} fact7: {AE} -> {BK} ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸã«ããŸã«Lv.81ã¯åããªããã©ããã¯å°éåºæ¥ãããšããããšã¯ééã£ãŠãã | ¬(¬{F}{a} & {D}{a}) | fact1: ããšããã¢ã³ã¹ã¿ãŒã¯å€§äººãããŸãã¯äžãæãããããã¯äž¡æ¹ã ããšããããšã¯åœã§ãããšãããšäžãé£ããªã fact2: ããã®ãããã«Lv.9ã¯å€§äººããäžãæãããšããããšã¯ééãã fact3: ä»®ã«ãã®ãããã«Lv.9ã¯äžãé£ããªããšããããæªãããªããã©åæ®æããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããã®ãããã«Lv.9ã¯æªãããæŽã«åæ®æããããšããããšã¯äºå®ãšç°ãªã fact5: ãã®ãããã«Lv.9ã¯äžãé£ããªããšããã°ãæªãããŠåæ®æããããšããããšã¯åœã fact6: ãã®ãããã«Lv.9ã¯å€§äººããªã fact7: ããã®ãããã«Lv.9ã¯æªãããªãäžæ¹ã§åæ®æããããšããããšã¯æãç«ããªããšããã°ãã®ãŸã«ããŸã«Lv.81ã¯å°éåºæ¥ã | fact1: (x): ¬({AA}x v {AB}x) -> ¬{B}x fact2: ¬({AA}{aa} v {AB}{aa}) fact3: ¬{B}{aa} -> ¬(¬{C}{aa} & {A}{aa}) fact4: ¬({C}{aa} & {A}{aa}) fact5: ¬{B}{aa} -> ¬({C}{aa} & {A}{aa}) fact6: ¬{AA}{aa} fact7: ¬(¬{C}{aa} & {A}{aa}) -> {D}{a} | [
"fact1 -> int1: ãããããã®ãããã«Lv.9ã¯å€§äººããããã¯äžãæãããšããããšã¯åã ãšãããšããã¯äžãé£ããªã; int1 & fact2 -> int2: ãã®ãããã«Lv.9ã¯äžãé£ããšããããšã¯ãªã; int2 & fact3 -> int3: ããã®ãããã«Lv.9ã¯æªãããªãããã©åæ®æããããšããããšã¯ééã£ãŠãã; int3 & fact7 -> int4: ãã®ãŸã«ããŸã«Lv.81ã¯å°éåºæ¥ã;"
] | [
"fact1 -> int1: ¬({AA}{aa} v {AB}{aa}) -> ¬{B}{aa}; int1 & fact2 -> int2: ¬{B}{aa}; int2 & fact3 -> int3: ¬(¬{C}{aa} & {A}{aa}); int3 & fact7 -> int4: {D}{a};"
] | null | null | [] | null | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããšããã¢ã³ã¹ã¿ãŒã¯å€§äººãããŸãã¯äžãæãããããã¯äž¡æ¹ã ããšããããšã¯åœã§ãããšãããšäžãé£ããªã fact2: ããã®ãããã«Lv.9ã¯å€§äººããäžãæãããšããããšã¯ééãã fact3: ä»®ã«ãã®ãããã«Lv.9ã¯äžãé£ããªããšããããæªãããªããã©åæ®æããããšããããšã¯æãç«ã€ãšããããšã¯ãªã fact4: ããã®ãããã«Lv.9ã¯æªãããæŽã«åæ®æããããšããããšã¯äºå®ãšç°ãªã fact5: ãã®ãããã«Lv.9ã¯äžãé£ããªããšããã°ãæªãããŠåæ®æããããšããããšã¯åœã fact6: ãã®ãããã«Lv.9ã¯å€§äººããªã fact7: ããã®ãããã«Lv.9ã¯æªãããªãäžæ¹ã§åæ®æããããšããããšã¯æãç«ããªããšããã°ãã®ãŸã«ããŸã«Lv.81ã¯å°éåºæ¥ã ; $hypothesis$ = ããã®ãŸã«ããŸã«Lv.81ã¯åããªããã©ããã¯å°éåºæ¥ãããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬({AA}x v {AB}x) -> ¬{B}x fact2: ¬({AA}{aa} v {AB}{aa}) fact3: ¬{B}{aa} -> ¬(¬{C}{aa} & {A}{aa}) fact4: ¬({C}{aa} & {A}{aa}) fact5: ¬{B}{aa} -> ¬({C}{aa} & {A}{aa}) fact6: ¬{AA}{aa} fact7: ¬(¬{C}{aa} & {A}{aa}) -> {D}{a} ; $hypothesis$ = ¬(¬{F}{a} & {D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããããä»®ã«ããã£ããããšããããšã¯ãªãããããäŸããããšããããšã¯æãç«ããªããªãè奮ãæããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åœã | ¬((Ex): ¬(¬{AA}x & {AB}x) -> {B}x) | fact1: ããä»®ã«ããã®ãããã«ãLv.7ã¯ãã£ããããªããã©äŸããããšããããšã¯ééã£ãŠãããªããã®ãããã«ãLv.7ã¯è奮ãæã fact2: ãã®ãããã«ãLv.7ãè奮ãæããªãããã©å€§äººããšããããã®ãããã«ãLv.7ã¯å€§å€èº«ãã fact3: ããä»®ã«ãã®ãããã«ãLv.7ãçããããªããã©ããã¯èŠªããªãã°ããã®ãããã«ãLv.7ã¯å¿åŒ±ãããšããããšã¯äºå®ã§ãã fact4: ãããç»å±±å®¶ããããªãããŸãæ¯ãäžããã°åããããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ããããã®ãããã«ãLv.7ã¯ãã£ããããªãããããç¥ãåããããããšããããšã¯æãç«ããªããšããã°ãã®ãããã«ãLv.7ã¯ç
©ã | fact1: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa} fact2: (¬{B}{aa} & {HA}{aa}) -> {O}{aa} fact3: (¬{GF}{aa} & {BB}{aa}) -> {II}{aa} fact4: (Ex): (¬{DC}x & {GB}x) -> {FA}x fact5: ¬(¬{AA}{aa} & {BJ}{aa}) -> {T}{aa} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããä»®ã«ããã®ãããã«ãLv.7ã¯ãã£ããããªããã©äŸããããšããããšã¯ééã£ãŠãããªããã®ãããã«ãLv.7ã¯è奮ãæã fact2: ãã®ãããã«ãLv.7ãè奮ãæããªãããã©å€§äººããšããããã®ãããã«ãLv.7ã¯å€§å€èº«ãã fact3: ããä»®ã«ãã®ãããã«ãLv.7ãçããããªããã©ããã¯èŠªããªãã°ããã®ãããã«ãLv.7ã¯å¿åŒ±ãããšããããšã¯äºå®ã§ãã fact4: ãããç»å±±å®¶ããããªãããŸãæ¯ãäžããã°åããããã¢ã³ã¹ã¿ãŒã¯ãã fact5: ããããã®ãããã«ãLv.7ã¯ãã£ããããªãããããç¥ãåããããããšããããšã¯æãç«ããªããšããã°ãã®ãããã«ãLv.7ã¯ç
©ã ; $hypothesis$ = ããããä»®ã«ããã£ããããšããããšã¯ãªãããããäŸããããšããããšã¯æãç«ããªããªãè奮ãæããã¢ã³ã¹ã¿ãŒã¯ããããšããããšã¯åœã ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA}{aa} & {AB}{aa}) -> {B}{aa} fact2: (¬{B}{aa} & {HA}{aa}) -> {O}{aa} fact3: (¬{GF}{aa} & {BB}{aa}) -> {II}{aa} fact4: (Ex): (¬{DC}x & {GB}x) -> {FA}x fact5: ¬(¬{AA}{aa} & {BJ}{aa}) -> {T}{aa} ; $hypothesis$ = ¬((Ex): ¬(¬{AA}x & {AB}x) -> {B}x) ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
0.3 | å¢ãå§ããããšã¯èµ·ãããªã | ¬{A} | fact1: äºåããããšãèµ·ãã fact2: ã¿ãã¿ã¡ãLv.65äºä»¶ãèµ·ãã | fact1: {C} fact2: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããå¢ãå§ããããšãèµ·ãã; assump1 & fact2 -> int1: å¢ãå§ããããšãšã¿ãã¿ã¡ãLv.65äºä»¶äž¡æ¹ãšããçãã;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B});"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: äºåããããšãèµ·ãã fact2: ã¿ãã¿ã¡ãLv.65äºä»¶ãèµ·ãã ; $hypothesis$ = å¢ãå§ããããšã¯èµ·ãããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C} fact2: {B} ; $hypothesis$ = ¬{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ãã·ãªLv.52ã¯è¿ããªã | ¬{C}{aa} | fact1: ããããã¢ã³ã¹ã¿ãŒã¯è©±ãé£ããé¡åšåãæã fact2: ä»®ã«ãã®ãœããœãLv.52ãèšçœ®éå¶ããªããã©è©±ãé£ããªãã°ãã®ã·ãã·ãªLv.52ã¯è©±ãé£ã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè¿ããªããšããã話ãé£ããããã«é¡åšåãæã fact4: ããããã®ã·ãã·ãªLv.52ã話ãé£ãããããã¯é¡åšåãæããªãããããã¯äž¡æ¹ãšããªãã°ãã®ã·ãã·ãªLv.52ã¯è¿ããªã fact5: ããã¢ã³ã¹ã¿ãŒã話ãé£ããšããã°ç¥ãé£ããããã¯éããªã | fact1: (x): ({A}x v {B}x) fact2: (¬{D}{a} & {A}{a}) -> {A}{aa} fact3: (x): ¬{C}x -> ({A}x & {B}x) fact4: ({A}{aa} v ¬{B}{aa}) -> ¬{C}{aa} fact5: (x): {A}x -> ({AD}x v ¬{K}x) | [] | [] | ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯ç¥ãé£ãããããã¯éããªããäž¡æ¹ãšãã | (x): ({AD}x v ¬{K}x) | [
"fact6 -> int1: ãããã®ãœããœãLv.52ã話ãé£ããšããã°ç¥ãé£ããããã¯éããªãããŸãã¯äž¡æ¹ã ; fact7 -> int2: ä»®ã«ãã®ãœããœãLv.52ãè¿ãããšããããšã¯ãªããªããã®ãœããœãLv.52ã¯è©±ãé£ããé¡åšåãæã;"
] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããããã¢ã³ã¹ã¿ãŒã¯è©±ãé£ããé¡åšåãæã fact2: ä»®ã«ãã®ãœããœãLv.52ãèšçœ®éå¶ããªããã©è©±ãé£ããªãã°ãã®ã·ãã·ãªLv.52ã¯è©±ãé£ã fact3: ããä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒãè¿ããªããšããã話ãé£ããããã«é¡åšåãæã fact4: ããããã®ã·ãã·ãªLv.52ã話ãé£ãããããã¯é¡åšåãæããªãããããã¯äž¡æ¹ãšããªãã°ãã®ã·ãã·ãªLv.52ã¯è¿ããªã fact5: ããã¢ã³ã¹ã¿ãŒã話ãé£ããšããã°ç¥ãé£ããããã¯éããªã ; $hypothesis$ = ãã®ã·ãã·ãªLv.52ã¯è¿ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({A}x v {B}x) fact2: (¬{D}{a} & {A}{a}) -> {A}{aa} fact3: (x): ¬{C}x -> ({A}x & {B}x) fact4: ({A}{aa} v ¬{B}{aa}) -> ¬{C}{aa} fact5: (x): {A}x -> ({AD}x v ¬{K}x) ; $hypothesis$ = ¬{C}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ãããã«ãLv.20ã¯å¿ãã | {D}{a} | fact1: ãã®ãŸã«ã
ãŸãLv.14ã¯æ»ãå§ããªã fact2: ãã®ãããã«ãLv.20ãåŒã£è¶ãå§ãããªãããã¯å¿ãã fact3: ããããæ»ãå§ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãããã«ãLv.20ã¯èŠã
ããããããããã¯åŒã£è¶ãå§ãã | fact1: ¬{A}{b} fact2: {C}{a} -> {D}{a} fact3: (x): ¬{A}x -> ({B}{a} & {C}{a}) | [
"fact1 -> int1: ãæ»ãå§ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact3 -> int2: ãã®ãããã«ãLv.20ã¯èŠã
ãããŠåŒã£è¶ãå§ãã; int2 -> int3: ãã®ãããã«ãLv.20ã¯åŒã£è¶ãå§ãã; int3 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: (Ex): ¬{A}x; int1 & fact3 -> int2: ({B}{a} & {C}{a}); int2 -> int3: {C}{a}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ãã®ãŸã«ã
ãŸãLv.14ã¯æ»ãå§ããªã fact2: ãã®ãããã«ãLv.20ãåŒã£è¶ãå§ãããªãããã¯å¿ãã fact3: ããããæ»ãå§ããªããã¢ã³ã¹ã¿ãŒããããšããã°ãã®ãããã«ãLv.20ã¯èŠã
ããããããããã¯åŒã£è¶ãå§ãã ; $hypothesis$ = ãã®ãããã«ãLv.20ã¯å¿ãã ; $proof$ = | fact1 -> int1: ãæ»ãå§ããªããã¢ã³ã¹ã¿ãŒã¯ãã; int1 & fact3 -> int2: ãã®ãããã«ãLv.20ã¯èŠã
ãããŠåŒã£è¶ãå§ãã; int2 -> int3: ãã®ãããã«ãLv.20ã¯åŒã£è¶ãå§ãã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{A}{b} fact2: {C}{a} -> {D}{a} fact3: (x): ¬{A}x -> ({B}{a} & {C}{a}) ; $hypothesis$ = {D}{a} ; $proof$ = | fact1 -> int1: (Ex): ¬{A}x; int1 & fact3 -> int2: ({B}{a} & {C}{a}); int2 -> int3: {C}{a}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ãããäžãé£ããšããããšãèµ·ãã | {B} | fact1: æŽéš°ããããšãçãã fact2: ãµãã€ãããšãçããªããšããã°åŒ·çããããšãèµ·ãããªããŠãã€ãŸããŸãLv.48äºä»¶ã¯èµ·ããªã fact3: 匷çããããšã¯èµ·ãããªããšãããšæŽéš°ããããšããããã¯äžãé£ããšããããšãèµ·ãã fact4: ãçã
ãããšããããšãèµ·ãããäžãé£ããšããããšãèµ·ããããšããããšã¯æŽéš°ããããšã¯èµ·ãããªããšããããšããããã fact5: çã
ãããšããããšãèµ·ãã fact6: ãµãã€ãããšã¯çããªã fact7: åããšããããšãçãã | fact1: {C} fact2: ¬{F} -> (¬{D} & ¬{E}) fact3: ¬{D} -> ({C} v {B}) fact4: ({A} & {B}) -> ¬{C} fact5: {A} fact6: ¬{F} fact7: {GS} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããäžãé£ããšããããšãèµ·ãã; fact5 & assump1 -> int1: çã
ãããšããããšããã³äžãé£ããšããããšã©ã¡ãããèµ·ãã; int1 & fact4 -> int2: æŽéš°ããããšã¯çºçããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}; fact5 & assump1 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | åžåããé£ããšããããšããã³éè¡ããããšäž¡æ¹ãšããèµ·ãã | ({FB} & {AJ}) | [
"fact10 & fact9 -> int4: 匷çããããšãèµ·ãããªãããã®äžãŸããŸãLv.48äºä»¶ã¯çºçããªã; int4 -> int5: 匷çããããšã¯èµ·ãããªã; fact8 & int5 -> int6: æŽéš°ããããšãçºçããããããã¯äžãé£ããšããããšãèµ·ããããŸãã¯äž¡æ¹ãšãã ;"
] | 5 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: æŽéš°ããããšãçãã fact2: ãµãã€ãããšãçããªããšããã°åŒ·çããããšãèµ·ãããªããŠãã€ãŸããŸãLv.48äºä»¶ã¯èµ·ããªã fact3: 匷çããããšã¯èµ·ãããªããšãããšæŽéš°ããããšããããã¯äžãé£ããšããããšãèµ·ãã fact4: ãçã
ãããšããããšãèµ·ãããäžãé£ããšããããšãèµ·ããããšããããšã¯æŽéš°ããããšã¯èµ·ãããªããšããããšããããã fact5: çã
ãããšããããšãèµ·ãã fact6: ãµãã€ãããšã¯çããªã fact7: åããšããããšãçãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããäžãé£ããšããããšãèµ·ãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããäžãé£ããšããããšãèµ·ãã; fact5 & assump1 -> int1: çã
ãããšããããšããã³äžãé£ããšããããšã©ã¡ãããèµ·ãã; int1 & fact4 -> int2: æŽéš°ããããšã¯çºçããªã; int2 & fact1 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} fact2: ¬{F} -> (¬{D} & ¬{E}) fact3: ¬{D} -> ({C} v {B}) fact4: ({A} & {B}) -> ¬{C} fact5: {A} fact6: ¬{F} fact7: {GS} ; $hypothesis$ = {B} ; $proof$ = | void -> assump1: {B}; fact5 & assump1 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | ã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçãã | {AA} | fact1: ä»®ã«ãã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçããªããããã«ãœããœãLv.32äºä»¶ã¯çããªãããšããããšã¯åœã§ãããšãããããœããœãLv.87äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ fact2: ããããŸã«ããŸãLv.48äºä»¶ã¯çããªããšããããæ°ä»ãæããšããããšã¯èµ·ãããªããŠããŸãã«ãœããœãLv.87äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªã fact3: ããããããè¥ããšããããšãšè©±ããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ããªããšããã°ããè¥ããšããããšã¯çºçããªã fact4: ãœããœãLv.87äºä»¶ãçãã fact5: ãããããè¥ããšããããšã¯çããªããšããããŸã«ããŸãLv.48äºä»¶ã¯çããªããŠããã«ææ©ããšããããšã¯èµ·ãããªã fact6: ãããã·ãã·ãªLv.85äºä»¶ã¯çºçããªããªãã°ãããè¥ããšããããšãçããããã®äžè©±ããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã | fact1: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact2: ¬{C} -> ¬(¬{A} & ¬{B}) fact3: ¬({E} & {F}) -> ¬{E} fact4: {B} fact5: ¬{E} -> (¬{C} & ¬{D}) fact6: ¬{G} -> ¬({E} & {F}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã·ã¡ãã·ã«ãLv.45äºä»¶ã¯èµ·ãããªããŠãœããœãLv.32äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; fact1 & assump1 -> int1: ãœããœãLv.87äºä»¶ã¯èµ·ããªã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçããªããŠãã®äžãœããœãLv.32äºä»¶ã¯çããªã; int3 -> hypothesis;"
] | [
"void -> assump1: ¬(¬{AA} & ¬{AB}); fact1 & assump1 -> int1: ¬{B}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA} & ¬{AB}); int3 -> hypothesis;"
] | ã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçãã | {AA} | [] | 9 | 5 | 4 | 5 | 4 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçããªããããã«ãœããœãLv.32äºä»¶ã¯çããªãããšããããšã¯åœã§ãããšãããããœããœãLv.87äºä»¶ã¯çããªãããšããããšã¯æãç«ã€ fact2: ããããŸã«ããŸãLv.48äºä»¶ã¯çããªããšããããæ°ä»ãæããšããããšã¯èµ·ãããªããŠããŸãã«ãœããœãLv.87äºä»¶ã¯èµ·ããªãããšããããšã¯äºå®ãšç°ãªã fact3: ããããããè¥ããšããããšãšè©±ããããšäž¡æ¹ãšããèµ·ããããšããããšã¯æãç«ããªããšããã°ããè¥ããšããããšã¯çºçããªã fact4: ãœããœãLv.87äºä»¶ãçãã fact5: ãããããè¥ããšããããšã¯çããªããšããããŸã«ããŸãLv.48äºä»¶ã¯çããªããŠããã«ææ©ããšããããšã¯èµ·ãããªã fact6: ãããã·ãã·ãªLv.85äºä»¶ã¯çºçããªããªãã°ãããè¥ããšããããšãçããããã®äžè©±ããããšãèµ·ããããšããããšã¯æãç«ã€ãšããããšã¯ãªã ; $hypothesis$ = ã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçãã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã·ã¡ãã·ã«ãLv.45äºä»¶ã¯èµ·ãããªããŠãœããœãLv.32äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ããªã; fact1 & assump1 -> int1: ãœããœãLv.87äºä»¶ã¯èµ·ããªã; int1 & fact4 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ã¡ãã·ã«ãLv.45äºä»¶ãçºçããªããŠãã®äžãœããœãLv.32äºä»¶ã¯çããªã; int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{AA} & ¬{AB}) -> ¬{B} fact2: ¬{C} -> ¬(¬{A} & ¬{B}) fact3: ¬({E} & {F}) -> ¬{E} fact4: {B} fact5: ¬{E} -> (¬{C} & ¬{D}) fact6: ¬{G} -> ¬({E} & {F}) ; $hypothesis$ = {AA} ; $proof$ = | void -> assump1: ¬(¬{AA} & ¬{AB}); fact1 & assump1 -> int1: ¬{B}; int1 & fact4 -> int2: #F#; [assump1] & int2 -> int3: (¬{AA} & ¬{AB}); int3 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãœã¡ã
ãœãLv.91ã¯æèŠããªã | ¬{A}{aa} | fact1: ããã¯æºèŒããªãã人æããããããã¯äž¡æ¹ã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ããä»®ã«ããã®ãŸããŸãLv.5ã¯æèŠããããšããããšã¯æ£ãããšãããšãã®ãŽããŽã¡ãLv.14ã¯æºèŒãã fact3: ããä»®ã«ããã®ãœã¡ã
ãœãLv.91ã¯æºèŒããªãããŸãã¯äººæããããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãããªããã®ãœã¡ã
ãœãLv.91ã¯æèŠãã fact4: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯éŠã°ãããªããçã
ããããšããããšã¯äºå®ã§ãã fact5: ããã®ãœã¡ã
ãœãLv.91ã¯æ»ãæããªãããããã¯æ ¹æ°åŒ·ãããããã¯ã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªã fact6: ããããã¢ã³ã¹ã¿ãŒã¯æ¹å€ãã | fact1: (x): ¬(¬{AA}x v {AB}x) fact2: {A}{a} -> {AA}{cc} fact3: ¬(¬{AA}{aa} v {AB}{aa}) -> {A}{aa} fact4: (Ex): (¬{E}x & {F}x) fact5: ¬(¬{GP}{aa} v {BO}{aa}) fact6: (x): {CN}x | [
"fact1 -> int1: ããã®ãœã¡ã
ãœãLv.91ã¯æºèŒãããšããããšã¯ãªãããããã¯äººæããããŸãã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} v {AB}{aa}); int1 & fact3 -> hypothesis;"
] | ãã®ãŽããŽã¡ãLv.14ã¯æºèŒãã | {AA}{cc} | [] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããã¯æºèŒããªãã人æããããããã¯äž¡æ¹ã ãšããã¢ã³ã¹ã¿ãŒã¯ãªã fact2: ããä»®ã«ããã®ãŸããŸãLv.5ã¯æèŠããããšããããšã¯æ£ãããšãããšãã®ãŽããŽã¡ãLv.14ã¯æºèŒãã fact3: ããä»®ã«ããã®ãœã¡ã
ãœãLv.91ã¯æºèŒããªãããŸãã¯äººæããããããã¯äž¡æ¹ã§ããããšããããšã¯èª€ã£ãŠãããªããã®ãœã¡ã
ãœãLv.91ã¯æèŠãã fact4: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯éŠã°ãããªããçã
ããããšããããšã¯äºå®ã§ãã fact5: ããã®ãœã¡ã
ãœãLv.91ã¯æ»ãæããªãããããã¯æ ¹æ°åŒ·ãããããã¯ã©ã¡ããã§ããããšããããšã¯äºå®ãšç°ãªã fact6: ããããã¢ã³ã¹ã¿ãŒã¯æ¹å€ãã ; $hypothesis$ = ãã®ãœã¡ã
ãœãLv.91ã¯æèŠããªã ; $proof$ = | fact1 -> int1: ããã®ãœã¡ã
ãœãLv.91ã¯æºèŒãããšããããšã¯ãªãããããã¯äººæããããŸãã¯äž¡æ¹ã§ããããšããããšã¯åœã§ãã; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬(¬{AA}x v {AB}x) fact2: {A}{a} -> {AA}{cc} fact3: ¬(¬{AA}{aa} v {AB}{aa}) -> {A}{aa} fact4: (Ex): (¬{E}x & {F}x) fact5: ¬(¬{GP}{aa} v {BO}{aa}) fact6: (x): {CN}x ; $hypothesis$ = ¬{A}{aa} ; $proof$ = | fact1 -> int1: ¬(¬{AA}{aa} v {AB}{aa}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ä¿¡ãæããšããããšãèµ·ãã | {D} | fact1: ãŸã«ããŸãªLv.26äºä»¶ãçãããšããããšã¯é·ã
ãããšããããšããããã fact2: ä¿¡ãæããšããããšã¯é·ã
ãããšããããšããã³å¿ãããšããããšãèµ·ããã«é»æ¢ããã fact3: 建èšããããšãçãã fact4: æ°é«ããšããããšãçºçãã fact5: 建èšããããšã¯ãŸã«ããŸãªLv.26äºä»¶ãåŒãèµ·ãã fact6: ãå¿ãããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã fact7: ãŸããŸã¡ãLv.89äºä»¶ã¯çºçããªã | fact1: {A} -> {B} fact2: ({B} & {C}) -> ¬{D} fact3: {E} fact4: {DB} fact5: {E} -> {A} fact6: {C} fact7: ¬{CO} | [
"fact3 & fact5 -> int1: ãŸã«ããŸãªLv.26äºä»¶ãèµ·ãã; fact1 & int1 -> int2: é·ã
ãããšããããšãèµ·ãã; int2 & fact6 -> int3: é·ã
ãããšããããšãèµ·ãããå¿ãããšããããšãèµ·ãã; int3 & fact2 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: {A}; fact1 & int1 -> int2: {B}; int2 & fact6 -> int3: ({B} & {C}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ãŸã«ããŸãªLv.26äºä»¶ãçãããšããããšã¯é·ã
ãããšããããšããããã fact2: ä¿¡ãæããšããããšã¯é·ã
ãããšããããšããã³å¿ãããšããããšãèµ·ããã«é»æ¢ããã fact3: 建èšããããšãçãã fact4: æ°é«ããšããããšãçºçãã fact5: 建èšããããšã¯ãŸã«ããŸãªLv.26äºä»¶ãåŒãèµ·ãã fact6: ãå¿ãããšããããšãèµ·ããããšããããšã¯ç¢ºãã§ãã fact7: ãŸããŸã¡ãLv.89äºä»¶ã¯çºçããªã ; $hypothesis$ = ä¿¡ãæããšããããšãèµ·ãã ; $proof$ = | fact3 & fact5 -> int1: ãŸã«ããŸãªLv.26äºä»¶ãèµ·ãã; fact1 & int1 -> int2: é·ã
ãããšããããšãèµ·ãã; int2 & fact6 -> int3: é·ã
ãããšããããšãèµ·ãããå¿ãããšããããšãèµ·ãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: ({B} & {C}) -> ¬{D} fact3: {E} fact4: {DB} fact5: {E} -> {A} fact6: {C} fact7: ¬{CO} ; $hypothesis$ = {D} ; $proof$ = | fact3 & fact5 -> int1: {A}; fact1 & int1 -> int2: {B}; int2 & fact6 -> int3: ({B} & {C}); int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | çãããšãèµ·ãã | {D} | fact1: è² ããããšã¯çããªããšããããšã¯äŒããé£ããšããããšã«é»æ¢ããã fact2: çãããšã¯èµ·ãããªããšããããšã¯ã·ãã·ãLv.37äºä»¶ããã³è² ããããšãèµ·ããã«ãããããã fact3: ã¿ãã¿ã¡ãLv.49äºä»¶ãçãã fact4: æ¥ããããšããããšãèµ·ãã fact5: ãŸããŸã¡ãLv.42äºä»¶ãçºçãã fact6: ã·ãã·ãLv.37äºä»¶ãèµ·ãã fact7: èãèŸããšããããšãèµ·ãããããã«ãŽããŽã¡ã
Lv.97äºä»¶ãçãã fact8: äŒããé£ããšããããšãçºçãããã¿ã¿ã£ã¡ããšããããšãçãã | fact1: {A} -> {B} fact2: ({C} & {B}) -> ¬{D} fact3: {EB} fact4: {II} fact5: {IE} fact6: {C} fact7: ({JJ} & {HH}) fact8: ({A} & {E}) | [
"fact8 -> int1: äŒããé£ããšããããšãèµ·ãã; fact1 & int1 -> int2: è² ããããšãèµ·ãã; int2 & fact6 -> int3: ã·ãã·ãLv.37äºä»¶ãšè² ããããšãçºçãã; int3 & fact2 -> hypothesis;"
] | [
"fact8 -> int1: {A}; fact1 & int1 -> int2: {B}; int2 & fact6 -> int3: ({C} & {B}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 4 | 0 | 4 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: è² ããããšã¯çããªããšããããšã¯äŒããé£ããšããããšã«é»æ¢ããã fact2: çãããšã¯èµ·ãããªããšããããšã¯ã·ãã·ãLv.37äºä»¶ããã³è² ããããšãèµ·ããã«ãããããã fact3: ã¿ãã¿ã¡ãLv.49äºä»¶ãçãã fact4: æ¥ããããšããããšãèµ·ãã fact5: ãŸããŸã¡ãLv.42äºä»¶ãçºçãã fact6: ã·ãã·ãLv.37äºä»¶ãèµ·ãã fact7: èãèŸããšããããšãèµ·ãããããã«ãŽããŽã¡ã
Lv.97äºä»¶ãçãã fact8: äŒããé£ããšããããšãçºçãããã¿ã¿ã£ã¡ããšããããšãçãã ; $hypothesis$ = çãããšãèµ·ãã ; $proof$ = | fact8 -> int1: äŒããé£ããšããããšãèµ·ãã; fact1 & int1 -> int2: è² ããããšãèµ·ãã; int2 & fact6 -> int3: ã·ãã·ãLv.37äºä»¶ãšè² ããããšãçºçãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: ({C} & {B}) -> ¬{D} fact3: {EB} fact4: {II} fact5: {IE} fact6: {C} fact7: ({JJ} & {HH}) fact8: ({A} & {E}) ; $hypothesis$ = {D} ; $proof$ = | fact8 -> int1: {A}; fact1 & int1 -> int2: {B}; int2 & fact6 -> int3: ({C} & {B}); int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | é æ¯ç¡ããšããããšãçãã | {D} | fact1: ããŸã¡ããŸã¡ãLv.93äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ fact2: é æ¯ç¡ããšããããšã¯çºçããªããšããããšã¯çµã³ä»ãæããšããããšãšã·ã«ãã·ã«ãLv.88äºä»¶ãçãããå¥æ©ã§ãã fact3: ã·ã«ãã·ã«ãLv.88äºä»¶ãèµ·ãã fact4: ããŸã¡ããŸã¡ãLv.93äºä»¶ã¯èµ·ããªãããšããããšã¯ãçµã³ä»ãæããšããããšãçºçããããããæ»ã£æãããšã¯çºçããããšããããšãçºçããã | fact1: ¬{E} fact2: ({A} & {C}) -> ¬{D} fact3: {C} fact4: ¬{E} -> ({A} & {B}) | [
"fact4 & fact1 -> int1: çµã³ä»ãæããšããããšããã³æ»ã£æãããšäž¡æ¹ãçãã; int1 -> int2: çµã³ä»ãæããšããããšãçãã; int2 & fact3 -> int3: çµã³ä»ãæããšããããšãçãããããŸãã«ã·ã«ãã·ã«ãLv.88äºä»¶ãèµ·ãã; int3 & fact2 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact3 -> int3: ({A} & {C}); int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 4 | 4 | 4 | 4 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ããŸã¡ããŸã¡ãLv.93äºä»¶ã¯èµ·ããªãããšããããšã¯æãç«ã€ fact2: é æ¯ç¡ããšããããšã¯çºçããªããšããããšã¯çµã³ä»ãæããšããããšãšã·ã«ãã·ã«ãLv.88äºä»¶ãçãããå¥æ©ã§ãã fact3: ã·ã«ãã·ã«ãLv.88äºä»¶ãèµ·ãã fact4: ããŸã¡ããŸã¡ãLv.93äºä»¶ã¯èµ·ããªãããšããããšã¯ãçµã³ä»ãæããšããããšãçºçããããããæ»ã£æãããšã¯çºçããããšããããšãçºçããã ; $hypothesis$ = é æ¯ç¡ããšããããšãçãã ; $proof$ = | fact4 & fact1 -> int1: çµã³ä»ãæããšããããšããã³æ»ã£æãããšäž¡æ¹ãçãã; int1 -> int2: çµã³ä»ãæããšããããšãçãã; int2 & fact3 -> int3: çµã³ä»ãæããšããããšãçãããããŸãã«ã·ã«ãã·ã«ãLv.88äºä»¶ãèµ·ãã; int3 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{E} fact2: ({A} & {C}) -> ¬{D} fact3: {C} fact4: ¬{E} -> ({A} & {B}) ; $hypothesis$ = {D} ; $proof$ = | fact4 & fact1 -> int1: ({A} & {B}); int1 -> int2: {A}; int2 & fact3 -> int3: ({A} & {C}); int3 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŽããŽãLv.65ã¯äŒžã°ãæã | {E}{a} | fact1: ä»®ã«ãã®ãŽããŽãLv.52ãæèŠããªããªããã®ãŽããŽãLv.65ã¯åºã
ãããŠæŽã«æã fact2: ãã®ãŽããŽãLv.52ã¯æèŠããªã fact3: ããä»®ã«ãã®ãŽããŽãLv.65ãæããšãããšããã¯çèŠãããªããéæ®ã£ãããªã fact4: ããä»®ã«ãã®ãŽããŽãLv.65ã¯çèŠãããªãããããéæ®ã£ãããšããããšã¯ãªããšãããšãããã¯äŒžã°ãæãããšããããšã¯æ¬åœã fact5: ä»®ã«ããã®ãŽããŽã«ãLv.13ã¯çèŠãããªãããšããããšã¯æ¬åœã ãšãããæã | fact1: ¬{F}{b} -> ({A}{a} & {B}{a}) fact2: ¬{F}{b} fact3: {B}{a} -> (¬{D}{a} & ¬{C}{a}) fact4: (¬{D}{a} & ¬{C}{a}) -> {E}{a} fact5: ¬{D}{dd} -> {B}{dd} | [
"fact1 & fact2 -> int1: ãã®ãŽããŽãLv.65ã¯åºã
ãããæã; int1 -> int2: ãã®ãŽããŽãLv.65ã¯æã; int2 & fact3 -> int3: ãã®ãŽããŽãLv.65ã¯çèŠãããªããå ããŠéæ®ã£ãããªã; int3 & fact4 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact3 -> int3: (¬{D}{a} & ¬{C}{a}); int3 & fact4 -> hypothesis;"
] | ãã®ãŽããŽã«ãLv.13ã¯äŒžã°ãæããŠããã«è©°ãŸãæã | ({E}{dd} & {AF}{dd}) | [] | 3 | 4 | 4 | 4 | 4 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ãŽããŽãLv.52ãæèŠããªããªããã®ãŽããŽãLv.65ã¯åºã
ãããŠæŽã«æã fact2: ãã®ãŽããŽãLv.52ã¯æèŠããªã fact3: ããä»®ã«ãã®ãŽããŽãLv.65ãæããšãããšããã¯çèŠãããªããéæ®ã£ãããªã fact4: ããä»®ã«ãã®ãŽããŽãLv.65ã¯çèŠãããªãããããéæ®ã£ãããšããããšã¯ãªããšãããšãããã¯äŒžã°ãæãããšããããšã¯æ¬åœã fact5: ä»®ã«ããã®ãŽããŽã«ãLv.13ã¯çèŠãããªãããšããããšã¯æ¬åœã ãšãããæã ; $hypothesis$ = ãã®ãŽããŽãLv.65ã¯äŒžã°ãæã ; $proof$ = | fact1 & fact2 -> int1: ãã®ãŽããŽãLv.65ã¯åºã
ãããæã; int1 -> int2: ãã®ãŽããŽãLv.65ã¯æã; int2 & fact3 -> int3: ãã®ãŽããŽãLv.65ã¯çèŠãããªããå ããŠéæ®ã£ãããªã; int3 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{F}{b} -> ({A}{a} & {B}{a}) fact2: ¬{F}{b} fact3: {B}{a} -> (¬{D}{a} & ¬{C}{a}) fact4: (¬{D}{a} & ¬{C}{a}) -> {E}{a} fact5: ¬{D}{dd} -> {B}{dd} ; $hypothesis$ = {E}{a} ; $proof$ = | fact1 & fact2 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact3 -> int3: (¬{D}{a} & ¬{C}{a}); int3 & fact4 -> hypothesis; __PROVED__ |
0.3 | ãã®ãœããœã¡ã
Lv.82ã¯è€ªããªã | ¬{B}{a} | fact1: ãã®ã¿ãã¿ãLv.31ãä»çœããªããšããããã®ãœããœã¡ã
Lv.82ã¯è€ªããªã fact2: ããã®ã¿ãã¿ãLv.31ã¯å€ãããããŠæãŠãç¡ãããšããããšã¯ééãã ãšãããšããã¯å€ãããããšããããšã¯ãªã fact3: ãã®ãã¡ããã«ãLv.13ã¯æãŠãç¡ããªã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æžããšããã°ãããã¯ç³ãæ·»ããããŸãæãŠãç¡ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã fact5: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯å€ãããããªããšããããæå®ãé£ãããã®äžä»çœãããšããããšã¯ééãã§ãã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æžã fact7: ä»®ã«ããã®ã¿ãã¿ãLv.31ãæå®ãé£ãããã®äžããã¯ä»çœãããšããããšã¯æãç«ããªããªããã®ãœããœã¡ã
Lv.82ã¯è€ªããªã | fact1: ¬{AB}{aa} -> ¬{B}{a} fact2: ¬({A}{aa} & {C}{aa}) -> ¬{A}{aa} fact3: ¬{C}{gi} fact4: (x): {E}x -> ¬({D}x & ¬{C}x) fact5: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact6: (x): {E}x fact7: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{a} | [
"fact5 -> int1: ãã®ã¿ãã¿ãLv.31ã¯å€ãããããšããããšã¯ãªããšããããããã¯æå®ãé£ãããŸãä»çœãããšããããšã¯åœã ;"
] | [
"fact5 -> int1: ¬{A}{aa} -> ¬({AA}{aa} & {AB}{aa});"
] | ãã®ãœããœã¡ã
Lv.82ã¯è€ªãã | {B}{a} | [
"fact8 -> int2: ãã®ã·ã¡ã
ã·ã«Lv.27ã¯æžã; fact9 -> int3: ä»®ã«ãã®ã·ã¡ã
ã·ã«Lv.27ã¯æžããšãããšããã®ã·ã¡ã
ã·ã«Lv.27ã¯ç³ãæ·»ãããã©æãŠãç¡ããšããããšã¯ãªãããšããããšã¯ééãã§ãã; int2 & int3 -> int4: ããã®ã·ã¡ã
ã·ã«Lv.27ã¯ç³ãæ·»ããäžæ¹ã§æãŠãç¡ããªãããšããããšã¯æãç«ããªã; int4 -> int5: ããã¯ç³ãæ·»ãããæãŠãç¡ããªããšããã¢ã³ã¹ã¿ãŒã¯ãªã; int5 -> int6: ããã®ãœããœã¡ã
Lv.82ã¯ç³ãæ·»ããããã©æãŠãç¡ããšããããšã¯ãªãããšããããšã¯åã§ãã;"
] | 6 | 4 | 3 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.31ãä»çœããªããšããããã®ãœããœã¡ã
Lv.82ã¯è€ªããªã fact2: ããã®ã¿ãã¿ãLv.31ã¯å€ãããããŠæãŠãç¡ãããšããããšã¯ééãã ãšãããšããã¯å€ãããããšããããšã¯ãªã fact3: ãã®ãã¡ããã«ãLv.13ã¯æãŠãç¡ããªã fact4: ä»®ã«äœããã®ã¢ã³ã¹ã¿ãŒã¯æžããšããã°ãããã¯ç³ãæ·»ããããŸãæãŠãç¡ããšããããšã¯ãªãããšããããšã¯äºå®ã§ãªã fact5: ä»®ã«ããã¢ã³ã¹ã¿ãŒã¯å€ãããããªããšããããæå®ãé£ãããã®äžä»çœãããšããããšã¯ééãã§ãã fact6: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯æžã fact7: ä»®ã«ããã®ã¿ãã¿ãLv.31ãæå®ãé£ãããã®äžããã¯ä»çœãããšããããšã¯æãç«ããªããªããã®ãœããœã¡ã
Lv.82ã¯è€ªããªã ; $hypothesis$ = ãã®ãœããœã¡ã
Lv.82ã¯è€ªããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{AB}{aa} -> ¬{B}{a} fact2: ¬({A}{aa} & {C}{aa}) -> ¬{A}{aa} fact3: ¬{C}{gi} fact4: (x): {E}x -> ¬({D}x & ¬{C}x) fact5: (x): ¬{A}x -> ¬({AA}x & {AB}x) fact6: (x): {E}x fact7: ¬({AA}{aa} & {AB}{aa}) -> ¬{B}{a} ; $hypothesis$ = ¬{B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæããããã«å¯ãã | ({A}{aa} & {C}{aa}) | fact1: ãã®ã·ã«ã·ãLv.84ã¯å¯ããããŸãã¯æã£å£ããäž¡æ¹ã fact2: ãä»®ã«ããã®ããããLv.28ã¯çãæããªãããšããããšã¯æãç«ã€ãšãããšãã®ããããLv.28ã¯æã£å£ããå€èãããšããããšã¯çå®ã§ãã fact3: ãã®ã·ã«ãã·ã®Lv.76ã¯è©®ç¡ã fact4: ããããã®ã·ã«ã·ãLv.84ãæã£å£ããšããã°ãã®ã·ã«ãã·ã®Lv.76ã¯å¯ãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯è©®ç¡ã fact6: ä»®ã«ãã®ã·ã«ã·ãLv.84ã¯è©®ç¡ããšããããšã¯ãªããªãããã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæããããã¯å¯ããããšããããšã¯ééãã§ãã fact7: ä»®ã«ããã®ããããLv.28ã¯å¯ããããšããããšã¯æãç«ã€ãšããããã®ã·ã«ã·ãLv.84ã¯å¯ãã fact8: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŒŸãæããŠæŽã«è©®ç¡ã fact9: ããããã®ã·ã«ã·ãLv.84ãå¯ãããªãã°ãã®ã·ã«ãã·ã®Lv.76ã¯å¯ãã | fact1: ({C}{a} v {D}{a}) fact2: ¬{G}{b} -> ({D}{b} & {F}{b}) fact3: {B}{aa} fact4: {D}{a} -> {C}{aa} fact5: (x): {B}x fact6: ¬{B}{a} -> ¬({A}{aa} & {C}{aa}) fact7: {C}{b} -> {C}{a} fact8: (x): ({A}x & {B}x) fact9: {C}{a} -> {C}{aa} | [
"fact8 -> int1: ãã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæããŠãã€è©®ç¡ã; int1 -> int2: ãã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæã; fact1 & fact4 & fact9 -> int3: ãã®ã·ã«ãã·ã®Lv.76ã¯å¯ãã; int2 & int3 -> hypothesis;"
] | [
"fact8 -> int1: ({A}{aa} & {B}{aa}); int1 -> int2: {A}{aa}; fact1 & fact4 & fact9 -> int3: {C}{aa}; int2 & int3 -> hypothesis;"
] | ããã®ãœã¡ããœã¡ã
Lv.15ã¯åŒŸãæãããšããããšã¯æãç«ã€ | {A}{gh} | [] | 6 | 4 | 3 | 4 | 3 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ãã®ã·ã«ã·ãLv.84ã¯å¯ããããŸãã¯æã£å£ããäž¡æ¹ã fact2: ãä»®ã«ããã®ããããLv.28ã¯çãæããªãããšããããšã¯æãç«ã€ãšãããšãã®ããããLv.28ã¯æã£å£ããå€èãããšããããšã¯çå®ã§ãã fact3: ãã®ã·ã«ãã·ã®Lv.76ã¯è©®ç¡ã fact4: ããããã®ã·ã«ã·ãLv.84ãæã£å£ããšããã°ãã®ã·ã«ãã·ã®Lv.76ã¯å¯ãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯è©®ç¡ã fact6: ä»®ã«ãã®ã·ã«ã·ãLv.84ã¯è©®ç¡ããšããããšã¯ãªããªãããã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæããããã¯å¯ããããšããããšã¯ééãã§ãã fact7: ä»®ã«ããã®ããããLv.28ã¯å¯ããããšããããšã¯æãç«ã€ãšããããã®ã·ã«ã·ãLv.84ã¯å¯ãã fact8: å
šãŠã®ã¢ã³ã¹ã¿ãŒã¯åŒŸãæããŠæŽã«è©®ç¡ã fact9: ããããã®ã·ã«ã·ãLv.84ãå¯ãããªãã°ãã®ã·ã«ãã·ã®Lv.76ã¯å¯ãã ; $hypothesis$ = ãã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæããããã«å¯ãã ; $proof$ = | fact8 -> int1: ãã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæããŠãã€è©®ç¡ã; int1 -> int2: ãã®ã·ã«ãã·ã®Lv.76ã¯åŒŸãæã; fact1 & fact4 & fact9 -> int3: ãã®ã·ã«ãã·ã®Lv.76ã¯å¯ãã; int2 & int3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({C}{a} v {D}{a}) fact2: ¬{G}{b} -> ({D}{b} & {F}{b}) fact3: {B}{aa} fact4: {D}{a} -> {C}{aa} fact5: (x): {B}x fact6: ¬{B}{a} -> ¬({A}{aa} & {C}{aa}) fact7: {C}{b} -> {C}{a} fact8: (x): ({A}x & {B}x) fact9: {C}{a} -> {C}{aa} ; $hypothesis$ = ({A}{aa} & {C}{aa}) ; $proof$ = | fact8 -> int1: ({A}{aa} & {B}{aa}); int1 -> int2: {A}{aa}; fact1 & fact4 & fact9 -> int3: {C}{aa}; int2 & int3 -> hypothesis; __PROVED__ |
0.3 | èãããšããããšã¯çºçããªã | ¬{D} | fact1: 倧ãããšããããšãçºçããããããã¯çšç¡ããšããããšãèµ·ãããäž¡æ¹ãšãã ãšãããšèãããšããããšã¯çºçããªã fact2: ããããšããããšãšåŸé£ããšããããšãçºçãã | fact1: ({B} v {C}) -> ¬{D} fact2: ({A} & {E}) | [
"fact2 -> int1: ããããšããããšãçºçãã;"
] | [
"fact2 -> int1: {A};"
] | null | null | [] | null | 4 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: 倧ãããšããããšãçºçããããããã¯çšç¡ããšããããšãèµ·ãããäž¡æ¹ãšãã ãšãããšèãããšããããšã¯çºçããªã fact2: ããããšããããšãšåŸé£ããšããããšãçºçãã ; $hypothesis$ = èãããšããããšã¯çºçããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({B} v {C}) -> ¬{D} fact2: ({A} & {E}) ; $hypothesis$ = ¬{D} ; $proof$ = | __UNKNOWN__ |
0.3 | ç Žçããããšãçããããããã¯æãé²ããããšã¯èµ·ãããªã | ({D} v ¬{C}) | fact1: ã·ã«ãã·ãLv.96äºä»¶ã¯èµ·ããªã fact2: å ããšããããšãèµ·ãã fact3: ç Žçããããšããããã¯æãé²ããããšããããã¯äž¡æ¹ãã·ãã·ã«ã
Lv.71äºä»¶ã¯çããªããšããããšã«èµ·å ãã fact4: ã·ãã·ã«ã
Lv.71äºä»¶ã¯ã·ã«ãã·ãLv.96äºä»¶ããããã fact5: ç Žçããããšãèµ·ããããŸãã¯æãé²ããããšãçºçãã fact6: ããã·ãã·ã«ã
Lv.71äºä»¶ãçããªããšãããšç Žçããããšãèµ·ãããæãé²ããããšã¯çºçããªã | fact1: ¬{B} fact2: {AB} fact3: ¬{A} -> ({D} v {C}) fact4: {A} -> {B} fact5: ({D} v {C}) fact6: ¬{A} -> ({D} v ¬{C}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã«ã
Lv.71äºä»¶ãçãã; fact4 & assump1 -> int1: ã·ã«ãã·ãLv.96äºä»¶ãèµ·ãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ãã·ã«ã
Lv.71äºä»¶ã¯èµ·ãããªã; int3 & fact6 -> hypothesis;"
] | [
"void -> assump1: {A}; fact4 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact6 -> hypothesis;"
] | ãç Žçããããšãçºçããããããã¯æãé²ããããšã¯çããªãããããã¯äž¡æ¹ãšãã ããšããããšã¯åã | ¬({D} v ¬{C}) | [
" -> hypothesis;"
] | 0 | 5 | 4 | 5 | 4 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ã·ã«ãã·ãLv.96äºä»¶ã¯èµ·ããªã fact2: å ããšããããšãèµ·ãã fact3: ç Žçããããšããããã¯æãé²ããããšããããã¯äž¡æ¹ãã·ãã·ã«ã
Lv.71äºä»¶ã¯çããªããšããããšã«èµ·å ãã fact4: ã·ãã·ã«ã
Lv.71äºä»¶ã¯ã·ã«ãã·ãLv.96äºä»¶ããããã fact5: ç Žçããããšãèµ·ããããŸãã¯æãé²ããããšãçºçãã fact6: ããã·ãã·ã«ã
Lv.71äºä»¶ãçããªããšãããšç Žçããããšãèµ·ãããæãé²ããããšã¯çºçããªã ; $hypothesis$ = ç Žçããããšãçããããããã¯æãé²ããããšã¯èµ·ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ãããã·ãã·ã«ã
Lv.71äºä»¶ãçãã; fact4 & assump1 -> int1: ã·ã«ãã·ãLv.96äºä»¶ãèµ·ãã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ã·ãã·ã«ã
Lv.71äºä»¶ã¯èµ·ãããªã; int3 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B} fact2: {AB} fact3: ¬{A} -> ({D} v {C}) fact4: {A} -> {B} fact5: ({D} v {C}) fact6: ¬{A} -> ({D} v ¬{C}) ; $hypothesis$ = ({D} v ¬{C}) ; $proof$ = | void -> assump1: {A}; fact4 & assump1 -> int1: {B}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}; int3 & fact6 -> hypothesis; __PROVED__ |
0.3 | çµã¡äžããããšã¯çããªã | ¬{F} | fact1: ã¿ãã¿ãLv.59äºä»¶ãšè¥ã
ãããšããããšã©ã¡ãããèµ·ãã fact2: ããããLv.53äºä»¶ãšæãç¥ãããšã©ã¡ãããèµ·ãã fact3: ã·ã¡ãã·ãLv.23äºä»¶ã仲çŠãŸãããšããããšã¯åå ã fact4: ã¿ã«ã¿ã¡ãLv.67äºä»¶ãçºçãã fact5: çµã¡äžããããšã¯èµ·ãããªããšããããšã¯ã·ã¡ãã·ãLv.23äºä»¶ããã³ã¿ã«ã¿ã¡ãLv.67äºä»¶ãèµ·ããã«åŒãèµ·ãããã fact6: 仲çŠãŸãããšããããšã¯èµ·ãããªããšããããšã¯ãè¥ã
ãããšããããšãèµ·ããããšããããšã«é»æ¢ããã fact7: ããããLv.60äºä»¶ãèµ·ãã fact8: åç»å Žããããšãèµ·ããããœã«ã
ãœãLv.66äºä»¶ãçãã | fact1: ({A} & {B}) fact2: ({JF} & {I}) fact3: {C} -> {D} fact4: {E} fact5: ({D} & {E}) -> ¬{F} fact6: {B} -> {C} fact7: {DE} fact8: ({DI} & {FP}) | [
"fact1 -> int1: è¥ã
ãããšããããšãçºçãã; int1 & fact6 -> int2: 仲çŠãŸãããšããããšãèµ·ãã; int2 & fact3 -> int3: ã·ã¡ãã·ãLv.23äºä»¶ãèµ·ãã; int3 & fact4 -> int4: ã·ã¡ãã·ãLv.23äºä»¶ãšã¿ã«ã¿ã¡ãLv.67äºä»¶ã©ã¡ãããçãã; int4 & fact5 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact3 -> int3: {D}; int3 & fact4 -> int4: ({D} & {E}); int4 & fact5 -> hypothesis;"
] | null | null | [] | null | 5 | 5 | 5 | 5 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ã¿ãã¿ãLv.59äºä»¶ãšè¥ã
ãããšããããšã©ã¡ãããèµ·ãã fact2: ããããLv.53äºä»¶ãšæãç¥ãããšã©ã¡ãããèµ·ãã fact3: ã·ã¡ãã·ãLv.23äºä»¶ã仲çŠãŸãããšããããšã¯åå ã fact4: ã¿ã«ã¿ã¡ãLv.67äºä»¶ãçºçãã fact5: çµã¡äžããããšã¯èµ·ãããªããšããããšã¯ã·ã¡ãã·ãLv.23äºä»¶ããã³ã¿ã«ã¿ã¡ãLv.67äºä»¶ãèµ·ããã«åŒãèµ·ãããã fact6: 仲çŠãŸãããšããããšã¯èµ·ãããªããšããããšã¯ãè¥ã
ãããšããããšãèµ·ããããšããããšã«é»æ¢ããã fact7: ããããLv.60äºä»¶ãèµ·ãã fact8: åç»å Žããããšãèµ·ããããœã«ã
ãœãLv.66äºä»¶ãçãã ; $hypothesis$ = çµã¡äžããããšã¯çããªã ; $proof$ = | fact1 -> int1: è¥ã
ãããšããããšãçºçãã; int1 & fact6 -> int2: 仲çŠãŸãããšããããšãèµ·ãã; int2 & fact3 -> int3: ã·ã¡ãã·ãLv.23äºä»¶ãèµ·ãã; int3 & fact4 -> int4: ã·ã¡ãã·ãLv.23äºä»¶ãšã¿ã«ã¿ã¡ãLv.67äºä»¶ã©ã¡ãããçãã; int4 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ({JF} & {I}) fact3: {C} -> {D} fact4: {E} fact5: ({D} & {E}) -> ¬{F} fact6: {B} -> {C} fact7: {DE} fact8: ({DI} & {FP}) ; $hypothesis$ = ¬{F} ; $proof$ = | fact1 -> int1: {B}; int1 & fact6 -> int2: {C}; int2 & fact3 -> int3: {D}; int3 & fact4 -> int4: ({D} & {E}); int4 & fact5 -> hypothesis; __PROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããã話ãèŸããšããããšã¯çºçããªã | ¬{A} | fact1: ã話ãèŸããšããããšã¯èµ·ããªãããããã¯æ¬²ãããšããããšã¯çããªãããŸãã¯ã©ã¡ããã ããšããããšã¯ééã£ãŠãã | fact1: ¬(¬{A} v ¬{B}) | [
"void -> assump1: 以äžã®ããã«ä»®å®ããã話ãèŸããšããããšã¯çºçããªã; assump1 -> int1: 話ãèŸããšããããšã¯èµ·ããªãããŸãã¯æ¬²ãããšããããšã¯èµ·ãããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ¬{A}; assump1 -> int1: (¬{A} v ¬{B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 2 | 4 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ã話ãèŸããšããããšã¯èµ·ããªãããããã¯æ¬²ãããšããããšã¯çããªãããŸãã¯ã©ã¡ããã ããšããããšã¯ééã£ãŠãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããã話ãèŸããšããããšã¯çºçããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããã話ãèŸããšããããšã¯çºçããªã; assump1 -> int1: 話ãèŸããšããããšã¯èµ·ããªãããŸãã¯æ¬²ãããšããããšã¯èµ·ãããªã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬(¬{A} v ¬{B}) ; $hypothesis$ = ¬{A} ; $proof$ = | void -> assump1: ¬{A}; assump1 -> int1: (¬{A} v ¬{B}); int1 & fact1 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ã·ãã·ãLv.28ã¯ç£ç£ãããªããããã身軜ããšããããšã¯ãªã | (¬{D}{a} & ¬{A}{a}) | fact1: ããã®ã·ãã·ãLv.28ã¯ææ¡ãé£ããªãããšããããšã¯äºå®ã§ãã fact2: ããããã®ã·ãã·ãLv.28ã身軜ããšããããšã¯ãªããšãããšããã¯ç£ç£ããšããããšã¯ãªããŠèº«è»œããšããããšã¯ãªã fact3: ãããã®ã·ãã·ãLv.28ã身軜ããªããã®ã·ãã·ãLv.28ã¯ææ¡ãé£ã | fact1: ¬{B}{a} fact2: ¬{A}{a} -> (¬{D}{a} & ¬{A}{a}) fact3: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.28ã¯èº«è»œã; fact3 & assump1 -> int1: ãã®ã·ãã·ãLv.28ã¯ææ¡ãé£ã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ãã·ãLv.28ã¯èº«è»œããšããããšã¯ãªã; int3 & fact2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact2 -> hypothesis;"
] | null | null | [] | null | 5 | 4 | 5 | 4 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ããã®ã·ãã·ãLv.28ã¯ææ¡ãé£ããªãããšããããšã¯äºå®ã§ãã fact2: ããããã®ã·ãã·ãLv.28ã身軜ããšããããšã¯ãªããšãããšããã¯ç£ç£ããšããããšã¯ãªããŠèº«è»œããšããããšã¯ãªã fact3: ãããã®ã·ãã·ãLv.28ã身軜ããªããã®ã·ãã·ãLv.28ã¯ææ¡ãé£ã ; $hypothesis$ = ãã®ã·ãã·ãLv.28ã¯ç£ç£ãããªããããã身軜ããšããããšã¯ãªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ãLv.28ã¯èº«è»œã; fact3 & assump1 -> int1: ãã®ã·ãã·ãLv.28ã¯ææ¡ãé£ã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ãã·ãLv.28ã¯èº«è»œããšããããšã¯ãªã; int3 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ¬{B}{a} fact2: ¬{A}{a} -> (¬{D}{a} & ¬{A}{a}) fact3: {A}{a} -> {B}{a} ; $hypothesis$ = (¬{D}{a} & ¬{A}{a}) ; $proof$ = | void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{a}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a}; int3 & fact2 -> hypothesis; __PROVED__ |
0.3 | ãã®ã·ã«ã·ã®Lv.27ã¯æãæããšããããšã¯ãªããèŠãé£ããªã | (¬{C}{a} & ¬{D}{a}) | fact1: ãã®ã¿ãã¿ã«ãLv.6ã¯ææ¡ãé£ããªã fact2: ãã®ã·ã«ã·ã®Lv.27ãå
¥ãèŸããšããããã®ã¿ãã¿ã«ãLv.6ã¯ææ¡ãé£ã | fact1: ¬{B}{b} fact2: {A}{a} -> {B}{b} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ã«ã·ã®Lv.27ã¯å
¥ãèŸã; fact2 & assump1 -> int1: ãã®ã¿ãã¿ã«ãLv.6ã¯ææ¡ãé£ã; int1 & fact1 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> int3: ãã®ã·ã«ã·ã®Lv.27ã¯å
¥ãèŸããªã;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: #F#; [assump1] & int2 -> int3: ¬{A}{a};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãã®ã¿ãã¿ã«ãLv.6ã¯ææ¡ãé£ããªã fact2: ãã®ã·ã«ã·ã®Lv.27ãå
¥ãèŸããšããããã®ã¿ãã¿ã«ãLv.6ã¯ææ¡ãé£ã ; $hypothesis$ = ãã®ã·ã«ã·ã®Lv.27ã¯æãæããšããããšã¯ãªããèŠãé£ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{B}{b} fact2: {A}{a} -> {B}{b} ; $hypothesis$ = (¬{C}{a} & ¬{D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ä»®ã«ããã®ããããLv.23ã¯ææ¡ãæãããšããããšã¯æ¬åœãªãã°ãã®ã·ã«ãã·ãLv.62ã¯èµ€ã£ãœã | {A}{a} -> {C}{c} | fact1: ä»®ã«ãã®ãã«ãããLv.89ã眹æ£ãæããšãããšãã®ã·ã«ãã·ãLv.62ã¯èµ€ã£ãœã fact2: ãã®ããããLv.23ã¯èµ€ã£ãœã fact3: ããä»®ã«ãã®ããããLv.23ãææ¡ãæããšãããšãã®ãã«ãããLv.89ã¯çœ¹æ£ãæã fact4: ãã®ããããLv.23ã眹æ£ãæããšãããšãã®ãã«ãããLv.89ã¯ææ¡ãæã fact5: ä»®ã«ãã®ã·ã«ãã·ãLv.62ãææ¡ãæããšããããã®ããããLv.23ã¯èµ€ã£ãœã fact6: ãããã®ãã«ãããLv.89ãææ¡ãæããšããããã®ããããLv.23ã¯çœ¹æ£ãæã | fact1: {B}{b} -> {C}{c} fact2: {C}{a} fact3: {A}{a} -> {B}{b} fact4: {B}{a} -> {A}{b} fact5: {A}{c} -> {C}{a} fact6: {A}{b} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.23ã¯ææ¡ãæã; fact3 & assump1 -> int1: ãã®ãã«ãããLv.89ã¯çœ¹æ£ãæã; int1 & fact1 -> int2: ããã®ã·ã«ãã·ãLv.62ã¯èµ€ã£ãœãããšããããšã¯æ¬åœã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{c}; [assump1] & int2 -> hypothesis;"
] | null | null | [] | null | 4 | 3 | 4 | 3 | 4 | 0 | 4 | PROVED | null | PROVED | null | $facts$ = fact1: ä»®ã«ãã®ãã«ãããLv.89ã眹æ£ãæããšãããšãã®ã·ã«ãã·ãLv.62ã¯èµ€ã£ãœã fact2: ãã®ããããLv.23ã¯èµ€ã£ãœã fact3: ããä»®ã«ãã®ããããLv.23ãææ¡ãæããšãããšãã®ãã«ãããLv.89ã¯çœ¹æ£ãæã fact4: ãã®ããããLv.23ã眹æ£ãæããšãããšãã®ãã«ãããLv.89ã¯ææ¡ãæã fact5: ä»®ã«ãã®ã·ã«ãã·ãLv.62ãææ¡ãæããšããããã®ããããLv.23ã¯èµ€ã£ãœã fact6: ãããã®ãã«ãããLv.89ãææ¡ãæããšããããã®ããããLv.23ã¯çœ¹æ£ãæã ; $hypothesis$ = ä»®ã«ããã®ããããLv.23ã¯ææ¡ãæãããšããããšã¯æ¬åœãªãã°ãã®ã·ã«ãã·ãLv.62ã¯èµ€ã£ãœã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.23ã¯ææ¡ãæã; fact3 & assump1 -> int1: ãã®ãã«ãããLv.89ã¯çœ¹æ£ãæã; int1 & fact1 -> int2: ããã®ã·ã«ãã·ãLv.62ã¯èµ€ã£ãœãããšããããšã¯æ¬åœã§ãã; [assump1] & int2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{b} -> {C}{c} fact2: {C}{a} fact3: {A}{a} -> {B}{b} fact4: {B}{a} -> {A}{b} fact5: {A}{c} -> {C}{a} fact6: {A}{b} -> {B}{a} ; $hypothesis$ = {A}{a} -> {C}{c} ; $proof$ = | void -> assump1: {A}{a}; fact3 & assump1 -> int1: {B}{b}; int1 & fact1 -> int2: {C}{c}; [assump1] & int2 -> hypothesis; __PROVED__ |
0.3 | ãä»®ã«ãè¥ã
ãããªããããŸãã«ã现ããªãããšããããšã¯æãç«ããªããšãããèãèŸããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬(¬{AA}x & ¬{AB}x) -> {B}x | fact1: ããè¥ã
ããããšããããšã¯æãç«ã€ãšãããèãèŸããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããä»®ã«è¥ã
ãããªããã现ããªããšããã°èãèŸããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é²ãæããªããŠæŽã«è¶ã£ãœããšããããšã¯ãªãããšããããšã¯åœã ãšããã°ããã¯å£ãæã fact4: ä»®ã«ããã®ãŸããŸã¡ãLv.10ã¯è¥ã
ããããã©ã现ããªãããšããããšã¯äºå®ãšç°ãªããšãããèãèŸã | fact1: (Ex): {AA}x -> {B}x fact2: (Ex): (¬{AA}x & ¬{AB}x) -> {B}x fact3: (x): ¬(¬{IE}x & ¬{HE}x) -> {GH}x fact4: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} | [] | [] | ããé²ãæããªããŠããã«è¶ã£ãœããªãããšããããšã¯ééã£ãŠããã°å£ãæããã¢ã³ã¹ã¿ãŒã¯ãã | (Ex): ¬(¬{IE}x & ¬{HE}x) -> {GH}x | [
"fact5 -> int1: ããä»®ã«ããã®ãœã¡ã
ãœã¡ãLv.88ã¯é²ãæããªããŠãã€è¶ã£ãœããªãããšããããšã¯åã§ãããšãããšããã¯å£ãæã; int1 -> hypothesis;"
] | 2 | 1 | 1 | null | null | 4 | 0 | 4 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ããè¥ã
ããããšããããšã¯æãç«ã€ãšãããèãèŸããã¢ã³ã¹ã¿ãŒã¯ãã fact2: ãããä»®ã«è¥ã
ãããªããã现ããªããšããã°èãèŸããã¢ã³ã¹ã¿ãŒã¯ãã fact3: ããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯é²ãæããªããŠæŽã«è¶ã£ãœããšããããšã¯ãªãããšããããšã¯åœã ãšããã°ããã¯å£ãæã fact4: ä»®ã«ããã®ãŸããŸã¡ãLv.10ã¯è¥ã
ããããã©ã现ããªãããšããããšã¯äºå®ãšç°ãªããšãããèãèŸã ; $hypothesis$ = ãä»®ã«ãè¥ã
ãããªããããŸãã«ã现ããªãããšããããšã¯æãç«ããªããšãããèãèŸããã¢ã³ã¹ã¿ãŒã¯ãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): {AA}x -> {B}x fact2: (Ex): (¬{AA}x & ¬{AB}x) -> {B}x fact3: (x): ¬(¬{IE}x & ¬{HE}x) -> {GH}x fact4: ¬({AA}{aa} & ¬{AB}{aa}) -> {B}{aa} ; $hypothesis$ = (Ex): ¬(¬{AA}x & ¬{AB}x) -> {B}x ; $proof$ = | __UNKNOWN__ |
0.3 | ã埡åºããšããããšãèµ·ãããã©åŸé£ããšããããšã¯çããªãããšããããšã¯åã | ¬({E} & ¬{F}) | fact1: ãœã«ãœãLv.49äºä»¶ã¯ãéã³æããšããããšãèµ·ããããšããããšã«ãããããã fact2: è¡æ£èããšããããšã¯ã·ãã·ãLv.99äºä»¶ã«ããçãã fact3: è¡æ£èããšããããšã¯åŸ¡åºããšããããšã¯çããªããšããããšãé»æ¢ãã fact4: åŸé£ããšããããšã¯çºçããªã fact5: ä»ãé£ããšããããšãçºçãã fact6: ãæ°Žèããšããããšãèµ·ããããšããããšã¯æ£ãã fact7: ããä»®ã«ãå¿ç¡ããšããããšã¯èµ·ããªããŠãããã·ãã·ãLv.99äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠããã°éã³æããšããããšãèµ·ãã fact8: ããã·ãã·ãLv.99äºä»¶ãçããããšããããšã¯å¿ç¡ããšããããšã«èªçºãããããšããããšã¯çå®ã§ãã fact9: éã³æããšããããšãçºçãããå ããŠå¿ç¡ããšããããšãçãã | fact1: {A} -> {Q} fact2: {C} -> {D} fact3: {D} -> {E} fact4: ¬{F} fact5: {FM} fact6: {U} fact7: ¬(¬{B} & ¬{C}) -> {A} fact8: {B} -> {C} fact9: ({A} & {B}) | [
"fact9 -> int1: å¿ç¡ããšããããšãèµ·ãã; int1 & fact8 -> int2: ã·ãã·ãLv.99äºä»¶ãèµ·ãã; int2 & fact2 -> int3: è¡æ£èããšããããšãçºçãã; int3 & fact3 -> int4: 埡åºããšããããšãèµ·ãã; int4 & fact4 -> hypothesis;"
] | [
"fact9 -> int1: {B}; int1 & fact8 -> int2: {C}; int2 & fact2 -> int3: {D}; int3 & fact3 -> int4: {E}; int4 & fact4 -> hypothesis;"
] | ãœã«ãœãLv.49äºä»¶ããã³åãç¶ããããšãèµ·ãã | ({Q} & {HT}) | [] | 5 | 5 | 5 | 5 | 5 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãœã«ãœãLv.49äºä»¶ã¯ãéã³æããšããããšãèµ·ããããšããããšã«ãããããã fact2: è¡æ£èããšããããšã¯ã·ãã·ãLv.99äºä»¶ã«ããçãã fact3: è¡æ£èããšããããšã¯åŸ¡åºããšããããšã¯çããªããšããããšãé»æ¢ãã fact4: åŸé£ããšããããšã¯çºçããªã fact5: ä»ãé£ããšããããšãçºçãã fact6: ãæ°Žèããšããããšãèµ·ããããšããããšã¯æ£ãã fact7: ããä»®ã«ãå¿ç¡ããšããããšã¯èµ·ããªããŠãããã·ãã·ãLv.99äºä»¶ã¯èµ·ããªãããšããããšã¯èª€ã£ãŠããã°éã³æããšããããšãèµ·ãã fact8: ããã·ãã·ãLv.99äºä»¶ãçããããšããããšã¯å¿ç¡ããšããããšã«èªçºãããããšããããšã¯çå®ã§ãã fact9: éã³æããšããããšãçºçãããå ããŠå¿ç¡ããšããããšãçãã ; $hypothesis$ = ã埡åºããšããããšãèµ·ãããã©åŸé£ããšããããšã¯çããªãããšããããšã¯åã ; $proof$ = | fact9 -> int1: å¿ç¡ããšããããšãèµ·ãã; int1 & fact8 -> int2: ã·ãã·ãLv.99äºä»¶ãèµ·ãã; int2 & fact2 -> int3: è¡æ£èããšããããšãçºçãã; int3 & fact3 -> int4: 埡åºããšããããšãèµ·ãã; int4 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {Q} fact2: {C} -> {D} fact3: {D} -> {E} fact4: ¬{F} fact5: {FM} fact6: {U} fact7: ¬(¬{B} & ¬{C}) -> {A} fact8: {B} -> {C} fact9: ({A} & {B}) ; $hypothesis$ = ¬({E} & ¬{F}) ; $proof$ = | fact9 -> int1: {B}; int1 & fact8 -> int2: {C}; int2 & fact2 -> int3: {D}; int3 & fact3 -> int4: {E}; int4 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ãã¿ãã¿ãLv.94äºä»¶ãçºçããããã®äžååããšããããšãçããããšããããšã¯äºå®ãšç°ãªã | ¬({E} & {F}) | fact1: ç±ã
ããšããããšã¯èµ·ããªããšããããšã¯ãã©åããšããããšãçºçããããã©ç±ã
ããšããããšã¯çºçããªãããšããããšãçãããã fact2: ããã倪ãé£ããšããããšã¯çããªããªãã°ç±ã
ããšããããšããã³ã©åããšããããšãçãã fact3: ããŸããŸã«ãLv.54äºä»¶ã¯èµ·ããªããšããããšã¯ããŸã®ãŸãLv.34äºä»¶ãçºçããããŸãäŒãããšãèµ·ããããšããããšã«ç¹ããããšããããšã¯äºå®ã§ãã fact4: ãç±ã
ããšããããšã¯çããªãããšããããšã¯ãŸã®ãŸãLv.34äºä»¶ããã³ãŸããŸã«ãLv.54äºä»¶ãçããã«ããçãã fact5: ãŸããŸã«ãLv.54äºä»¶ãçºçãã fact6: ãŸã®ãŸãLv.34äºä»¶ã¯èµ·ãããªããªãã°ãã¿ãã¿ãLv.94äºä»¶ããã³ååããšããããšãçããããšããããšã¯æ¬åœã§ãªã fact7: ååããšããããšãèµ·ãã fact8: ã¿ãã¿ãLv.94äºä»¶ã¯çããªããšããããšã¯ãã©åããšããããšãèµ·ãããç±ã
ããšããããšã¯èµ·ããªãããšããããšã«é»æ¢ããã fact9: ãŸã®ãŸãLv.34äºä»¶ãèµ·ãã | fact1: ¬{C} -> ({D} & ¬{C}) fact2: ¬{G} -> ({C} & {D}) fact3: ¬{B} -> ({A} & {BU}) fact4: ({A} & {B}) -> ¬{C} fact5: {B} fact6: ¬{A} -> ¬({E} & {F}) fact7: {F} fact8: ({D} & ¬{C}) -> {E} fact9: {A} | [
"fact9 & fact5 -> int1: ãŸã®ãŸãLv.34äºä»¶ããã³ãŸããŸã«ãLv.54äºä»¶äž¡æ¹ãšããèµ·ãã; int1 & fact4 -> int2: ç±ã
ããšããããšã¯èµ·ããªã; int2 & fact1 -> int3: ã©åããšããããšãèµ·ãããã©ç±ã
ããšããããšã¯çºçããªã; int3 & fact8 -> int4: ã¿ãã¿ãLv.94äºä»¶ãèµ·ãã; int4 & fact7 -> hypothesis;"
] | [
"fact9 & fact5 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: ({D} & ¬{C}); int3 & fact8 -> int4: {E}; int4 & fact7 -> hypothesis;"
] | ãã¿ãã¿ãLv.94äºä»¶ãçºçããããã®äžååããšããããšãçããããšããããšã¯äºå®ãšç°ãªã | ¬({E} & {F}) | [] | 7 | 5 | 5 | 5 | 5 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ç±ã
ããšããããšã¯èµ·ããªããšããããšã¯ãã©åããšããããšãçºçããããã©ç±ã
ããšããããšã¯çºçããªãããšããããšãçãããã fact2: ããã倪ãé£ããšããããšã¯çããªããªãã°ç±ã
ããšããããšããã³ã©åããšããããšãçãã fact3: ããŸããŸã«ãLv.54äºä»¶ã¯èµ·ããªããšããããšã¯ããŸã®ãŸãLv.34äºä»¶ãçºçããããŸãäŒãããšãèµ·ããããšããããšã«ç¹ããããšããããšã¯äºå®ã§ãã fact4: ãç±ã
ããšããããšã¯çããªãããšããããšã¯ãŸã®ãŸãLv.34äºä»¶ããã³ãŸããŸã«ãLv.54äºä»¶ãçããã«ããçãã fact5: ãŸããŸã«ãLv.54äºä»¶ãçºçãã fact6: ãŸã®ãŸãLv.34äºä»¶ã¯èµ·ãããªããªãã°ãã¿ãã¿ãLv.94äºä»¶ããã³ååããšããããšãçããããšããããšã¯æ¬åœã§ãªã fact7: ååããšããããšãèµ·ãã fact8: ã¿ãã¿ãLv.94äºä»¶ã¯çããªããšããããšã¯ãã©åããšããããšãèµ·ãããç±ã
ããšããããšã¯èµ·ããªãããšããããšã«é»æ¢ããã fact9: ãŸã®ãŸãLv.34äºä»¶ãèµ·ãã ; $hypothesis$ = ãã¿ãã¿ãLv.94äºä»¶ãçºçããããã®äžååããšããããšãçããããšããããšã¯äºå®ãšç°ãªã ; $proof$ = | fact9 & fact5 -> int1: ãŸã®ãŸãLv.34äºä»¶ããã³ãŸããŸã«ãLv.54äºä»¶äž¡æ¹ãšããèµ·ãã; int1 & fact4 -> int2: ç±ã
ããšããããšã¯èµ·ããªã; int2 & fact1 -> int3: ã©åããšããããšãèµ·ãããã©ç±ã
ããšããããšã¯çºçããªã; int3 & fact8 -> int4: ã¿ãã¿ãLv.94äºä»¶ãèµ·ãã; int4 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{C} -> ({D} & ¬{C}) fact2: ¬{G} -> ({C} & {D}) fact3: ¬{B} -> ({A} & {BU}) fact4: ({A} & {B}) -> ¬{C} fact5: {B} fact6: ¬{A} -> ¬({E} & {F}) fact7: {F} fact8: ({D} & ¬{C}) -> {E} fact9: {A} ; $hypothesis$ = ¬({E} & {F}) ; $proof$ = | fact9 & fact5 -> int1: ({A} & {B}); int1 & fact4 -> int2: ¬{C}; int2 & fact1 -> int3: ({D} & ¬{C}); int3 & fact8 -> int4: {E}; int4 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ã
ãŸãLv.0ã¯é·ã£ãããã | {C}{b} | fact1: ããä»®ã«ãã®ããããLv.4ã眹æ£ãæããšããããšã¯ãªããšããããã®ãŸã«ã
ãŸãLv.0ã¯é·ã£ãããããªã fact2: ããããã®ããããLv.4ã眹æ£ãæããšãããšæãŸãã | fact1: ¬{A}{a} -> ¬{C}{b} fact2: {A}{a} -> {B}{a} | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ããããLv.4ã¯çœ¹æ£ãæã; fact2 & assump1 -> int1: ãã®ããããLv.4ã¯æãŸãã;"
] | [
"void -> assump1: {A}{a}; fact2 & assump1 -> int1: {B}{a};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ããä»®ã«ãã®ããããLv.4ã眹æ£ãæããšããããšã¯ãªããšããããã®ãŸã«ã
ãŸãLv.0ã¯é·ã£ãããããªã fact2: ããããã®ããããLv.4ã眹æ£ãæããšãããšæãŸãã ; $hypothesis$ = ãã®ãŸã«ã
ãŸãLv.0ã¯é·ã£ãããã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{A}{a} -> ¬{C}{b} fact2: {A}{a} -> {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ãããæããããšãçãã | {A} | fact1: ãæããããšãèµ·ãããæŽã«ãŸããŸã¡ãLv.92äºä»¶ãçããããšããããšã¯ãã·ãã·ãLv.6äºä»¶ã¯èµ·ãããªãããšããããšã«åž°çµãã fact2: ãŸããŸã¡ãLv.92äºä»¶ãèµ·ãã | fact1: ({A} & {B}) -> ¬{C} fact2: {B} | [
"void -> assump1: 以äžã®ããã«ä»®å®ãããæããããšãçãã; assump1 & fact2 -> int1: æããããšãšãŸããŸã¡ãLv.92äºä»¶ã©ã¡ãããçãã; int1 & fact1 -> int2: ã·ãã·ãLv.6äºä»¶ã¯çºçããªã;"
] | [
"void -> assump1: {A}; assump1 & fact2 -> int1: ({A} & {B}); int1 & fact1 -> int2: ¬{C};"
] | null | null | [] | null | 5 | 4 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãæããããšãèµ·ãããæŽã«ãŸããŸã¡ãLv.92äºä»¶ãçããããšããããšã¯ãã·ãã·ãLv.6äºä»¶ã¯èµ·ãããªãããšããããšã«åž°çµãã fact2: ãŸããŸã¡ãLv.92äºä»¶ãèµ·ãã ; $hypothesis$ = 以äžã®ããã«ä»®å®ãããæããããšãçãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ({A} & {B}) -> ¬{C} fact2: {B} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ãŸããŸãLv.92ã¯æªè³¢ãããã©çŽåŸãæããªãããšããããšã¯æãç«ããªã | ¬({C}{b} & ¬{D}{b}) | fact1: ãã®ãŸããŸãLv.92ã¯çŽåŸãæããªã fact2: ãã®ã·ã«ãã·ãLv.81ã¯æµãæããªã fact3: ããä»®ã«ãã®ã¿ãã¿ã«Lv.30ãé¢ãé£ããšãããšãã®ãŸããŸãLv.92ã¯æªè³¢ã fact4: ããã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœãããšããããšã¯æãç«ã€ fact5: ãã®ã¿ãã¿ã«Lv.30ãæªè³¢ããšããããšã¯ãªããªããã®ã·ã«ãã·ãLv.81ã¯é¢ãé£ããã©æªæ¯ã£ãœããªã fact6: ããä»®ã«ãã®ã·ã«ãã·ãLv.81ãæµãæããªããªããã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœããããã«ããã¯é¢ãé£ã fact7: ãããã®ã·ã«ãã·ãLv.81ãæµãæããªããšãããšãã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœã | fact1: ¬{D}{b} fact2: ¬{E}{c} fact3: {B}{a} -> {C}{b} fact4: {A}{a} fact5: ¬{C}{a} -> ({B}{c} & ¬{A}{c}) fact6: ¬{E}{c} -> ({A}{a} & {B}{a}) fact7: ¬{E}{c} -> {A}{a} | [
"fact2 & fact6 -> int1: ããã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœããŠé¢ãé£ãããšããããšã¯çå®ã ; int1 -> int2: ãã®ã¿ãã¿ã«Lv.30ã¯é¢ãé£ã; int2 & fact3 -> int3: ãã®ãŸããŸãLv.92ã¯æªè³¢ã; int3 & fact1 -> hypothesis;"
] | [
"fact2 & fact6 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact3 -> int3: {C}{b}; int3 & fact1 -> hypothesis;"
] | ãã®ã·ã«ãã·ãLv.81ã¯é¢ãé£ã | {B}{c} | [] | 5 | 4 | 4 | 4 | 4 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãã®ãŸããŸãLv.92ã¯çŽåŸãæããªã fact2: ãã®ã·ã«ãã·ãLv.81ã¯æµãæããªã fact3: ããä»®ã«ãã®ã¿ãã¿ã«Lv.30ãé¢ãé£ããšãããšãã®ãŸããŸãLv.92ã¯æªè³¢ã fact4: ããã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœãããšããããšã¯æãç«ã€ fact5: ãã®ã¿ãã¿ã«Lv.30ãæªè³¢ããšããããšã¯ãªããªããã®ã·ã«ãã·ãLv.81ã¯é¢ãé£ããã©æªæ¯ã£ãœããªã fact6: ããä»®ã«ãã®ã·ã«ãã·ãLv.81ãæµãæããªããªããã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœããããã«ããã¯é¢ãé£ã fact7: ãããã®ã·ã«ãã·ãLv.81ãæµãæããªããšãããšãã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœã ; $hypothesis$ = ããã®ãŸããŸãLv.92ã¯æªè³¢ãããã©çŽåŸãæããªãããšããããšã¯æãç«ããªã ; $proof$ = | fact2 & fact6 -> int1: ããã®ã¿ãã¿ã«Lv.30ã¯æªæ¯ã£ãœããŠé¢ãé£ãããšããããšã¯çå®ã ; int1 -> int2: ãã®ã¿ãã¿ã«Lv.30ã¯é¢ãé£ã; int2 & fact3 -> int3: ãã®ãŸããŸãLv.92ã¯æªè³¢ã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ¬{D}{b} fact2: ¬{E}{c} fact3: {B}{a} -> {C}{b} fact4: {A}{a} fact5: ¬{C}{a} -> ({B}{c} & ¬{A}{c}) fact6: ¬{E}{c} -> ({A}{a} & {B}{a}) fact7: ¬{E}{c} -> {A}{a} ; $hypothesis$ = ¬({C}{b} & ¬{D}{b}) ; $proof$ = | fact2 & fact6 -> int1: ({A}{a} & {B}{a}); int1 -> int2: {B}{a}; int2 & fact3 -> int3: {C}{b}; int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãã¡ãããLv.3ã¯æ±ãé£ããªãããããå€ã | (¬{D}{b} & {C}{b}) | fact1: ä»®ã«ãã®ãã«ãããLv.66ãéèŠãããªããªããã®ãã«ãããLv.66ã¯æ±ãé£ã fact2: ãã®ãŸããŸãªLv.12ã¯æãæµ®ãã¶ãšããããšã¯ãªã fact3: ããä»®ã«ãæããããã¢ã³ã¹ã¿ãŒããããªããã®ãã¡ãããLv.3ã¯æ±ãé£ããªããã©å€ã | fact1: ¬{IE}{iq} -> {D}{iq} fact2: ¬{E}{a} fact3: (x): {A}x -> (¬{D}{b} & {C}{b}) | [] | [] | null | null | [] | null | 4 | 4 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ä»®ã«ãã®ãã«ãããLv.66ãéèŠãããªããªããã®ãã«ãããLv.66ã¯æ±ãé£ã fact2: ãã®ãŸããŸãªLv.12ã¯æãæµ®ãã¶ãšããããšã¯ãªã fact3: ããä»®ã«ãæããããã¢ã³ã¹ã¿ãŒããããªããã®ãã¡ãããLv.3ã¯æ±ãé£ããªããã©å€ã ; $hypothesis$ = ãã®ãã¡ãããLv.3ã¯æ±ãé£ããªãããããå€ã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ¬{IE}{iq} -> {D}{iq} fact2: ¬{E}{a} fact3: (x): {A}x -> (¬{D}{b} & {C}{b}) ; $hypothesis$ = (¬{D}{b} & {C}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ããããLv.99ã¯åŸ¡ãæãã圢æããæã | ({F}{b} & {G}{b}) | fact1: ãã®ãœã¡ããœã«Lv.4ã¯è
ã fact2: ãã®ããããLv.99ã¯å£²ã蟌ã fact3: ããä»®ã«ãã®ãœã¡ããœã«Lv.4ãè
ããšãããšãã®ããããLv.99ã¯ç®èã£ãœã fact4: ãã®ãŽããŽãªLv.1ã¯æ»ãé£ããããã«ä¹
ãã fact5: ããã®ããããLv.99ã¯æ
šåããªãããšããããšã¯çå®ã§ãããªããã®ããããLv.99ã埡ãæãããã®äžããã¯åœ¢æããæã fact6: ããããã®ããããLv.99ã泚ææ·±ããæŽã«å£²ã蟌ããªããã®ããããLv.99ã¯æ
šåããªã fact7: ãã®ããããLv.99ã¯åéããæããŠã³ãŒãã£ã³ã°ãã fact8: éžæãæãã¢ã³ã¹ã¿ãŒãå·ãæããªãå€åœ¢åºæ¥ããšããããšã¯ãªã | fact1: {A}{a} fact2: {D}{b} fact3: {A}{a} -> {B}{b} fact4: ({GO}{fr} & {CP}{fr}) fact5: ¬{E}{b} -> ({F}{b} & {G}{b}) fact6: ({C}{b} & {D}{b}) -> ¬{E}{b} fact7: ({FM}{b} & {DK}{b}) fact8: (x): ({HB}x & {HC}x) -> ¬{CM}x | [
"fact3 & fact1 -> int1: ãã®ããããLv.99ã¯ç®èã£ãœã;"
] | [
"fact3 & fact1 -> int1: {B}{b};"
] | ããä»®ã«ãã®ãããã¡ã
Lv.76ãéžæãæããŠããã«å·ãæããšãããšãã®ãããã¡ã
Lv.76ã¯å€åœ¢åºæ¥ãªã | ({HB}{ga} & {HC}{ga}) -> ¬{CM}{ga} | [
"fact9 -> hypothesis;"
] | 1 | 5 | 5 | null | null | 3 | 0 | 3 | UNKNOWN | PROVED | UNKNOWN | PROVED | $facts$ = fact1: ãã®ãœã¡ããœã«Lv.4ã¯è
ã fact2: ãã®ããããLv.99ã¯å£²ã蟌ã fact3: ããä»®ã«ãã®ãœã¡ããœã«Lv.4ãè
ããšãããšãã®ããããLv.99ã¯ç®èã£ãœã fact4: ãã®ãŽããŽãªLv.1ã¯æ»ãé£ããããã«ä¹
ãã fact5: ããã®ããããLv.99ã¯æ
šåããªãããšããããšã¯çå®ã§ãããªããã®ããããLv.99ã埡ãæãããã®äžããã¯åœ¢æããæã fact6: ããããã®ããããLv.99ã泚ææ·±ããæŽã«å£²ã蟌ããªããã®ããããLv.99ã¯æ
šåããªã fact7: ãã®ããããLv.99ã¯åéããæããŠã³ãŒãã£ã³ã°ãã fact8: éžæãæãã¢ã³ã¹ã¿ãŒãå·ãæããªãå€åœ¢åºæ¥ããšããããšã¯ãªã ; $hypothesis$ = ãã®ããããLv.99ã¯åŸ¡ãæãã圢æããæã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} fact2: {D}{b} fact3: {A}{a} -> {B}{b} fact4: ({GO}{fr} & {CP}{fr}) fact5: ¬{E}{b} -> ({F}{b} & {G}{b}) fact6: ({C}{b} & {D}{b}) -> ¬{E}{b} fact7: ({FM}{b} & {DK}{b}) fact8: (x): ({HB}x & {HC}x) -> ¬{CM}x ; $hypothesis$ = ({F}{b} & {G}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ããã®ã·ãã·ãLv.7ã¯ææ
æ·±ããŠéãéãããšããããšã¯ééã£ãŠãã | ¬({C}{a} & {D}{a}) | fact1: ãããããšããã¢ã³ã¹ã¿ãŒã¯æŠããªãããŸãéºãããªãããšããããšã¯æãç«ããªããšããã°ããã¯ãã¬ãŒã¹ãã fact2: ãã®ã·ãã·ãLv.7ã¯éãéã fact3: ãããã®ã·ã«ã·ãLv.70ããã¬ãŒã¹ãããšããã°è©Šé£ãã fact4: ããä»®ã«ãã®ã·ã«ã·ãLv.70ãè©Šé£ããã°ãã®ã·ãã·ãLv.7ã¯ææ
æ·±ã | fact1: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}x fact2: {D}{a} fact3: {B}{aa} -> {A}{aa} fact4: {A}{aa} -> {C}{a} | [
"fact1 -> int1: ããã®ã·ã«ã·ãLv.70ã¯æŠããªãããã€ããã¯éºãããªãããšããããšã¯æãç«ã€ãšããããšã¯ãªããªãã°ãããã¯ãã¬ãŒã¹ããããšããããšã¯æ¬åœã§ãã;"
] | [
"fact1 -> int1: ¬(¬{AA}{aa} & ¬{AB}{aa}) -> {B}{aa};"
] | null | null | [] | null | 5 | 5 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ãããããšããã¢ã³ã¹ã¿ãŒã¯æŠããªãããŸãéºãããªãããšããããšã¯æãç«ããªããšããã°ããã¯ãã¬ãŒã¹ãã fact2: ãã®ã·ãã·ãLv.7ã¯éãéã fact3: ãããã®ã·ã«ã·ãLv.70ããã¬ãŒã¹ãããšããã°è©Šé£ãã fact4: ããä»®ã«ãã®ã·ã«ã·ãLv.70ãè©Šé£ããã°ãã®ã·ãã·ãLv.7ã¯ææ
æ·±ã ; $hypothesis$ = ããã®ã·ãã·ãLv.7ã¯ææ
æ·±ããŠéãéãããšããããšã¯ééã£ãŠãã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ¬(¬{AA}x & ¬{AB}x) -> {B}x fact2: {D}{a} fact3: {B}{aa} -> {A}{aa} fact4: {A}{aa} -> {C}{a} ; $hypothesis$ = ¬({C}{a} & {D}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ãã®ã¿ã«ã¿ãLv.72ã¯ã©ã§ãããªã | ¬{D}{a} | fact1: ä»®ã«ãã®ã¿ã«ã¿ãLv.72ãéããªãã°ãã®ã¿ã«ã¿ãLv.72ã¯ã©ã§ãã fact2: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯éããšããããšã¯ãªãããããçªãããšããããšã¯æãç«ããªããšããã°ãçªããªãããšããããšã¯ééã£ãŠããªã fact3: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã©ã§ãããªããªãã°ãéããªãããããçªãããšããããšã¯æ¬åœã§ãªã fact4: ããããã®ãã«ãããªLv.32ãæšãŠé£ããªããšãããšããã¯äžæãããšããããšã¯ãªããã©ç©åãŸãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯äžæãããšããããšã¯ãªãããããã¯éããªãããããã¯ã©ã¡ãããªãéããªã fact6: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãå®ãããŸãã¯çªããªããã®ã¿ã«ã¿ãLv.72ã¯éã fact7: ããä»®ã«ããã®ãã«ãããªLv.32ã¯å®ããªããŠçªããšããããšã¯ãªãããšããããšã¯æãç«ããªããªããã®ã¿ã«ã¿ãLv.72ã¯ã©ã§ãããªã fact8: ãã®ãœã¡ããœã¡ãLv.13ã¯çªã | fact1: {C}{a} -> {D}{a} fact2: (x): ¬(¬{C}x & {B}x) -> ¬{B}x fact3: (x): ¬{D}x -> ¬(¬{C}x & {B}x) fact4: ¬{G}{b} -> (¬{E}{b} & {F}{b}) fact5: (x): (¬{E}x v ¬{C}x) -> ¬{C}x fact6: (x): ({A}x v {B}x) -> {C}{a} fact7: ¬(¬{A}{b} & ¬{B}{b}) -> ¬{D}{a} fact8: {B}{aa} | [
"fact8 -> int1: ãã®ãœã¡ããœã¡ãLv.13ã¯å®ãããŸãã¯çªãããããã¯äž¡æ¹ã§ãã; int1 -> int2: ãšããã¢ã³ã¹ã¿ãŒã¯å®ããããã¯çªã; int2 & fact6 -> int3: ãã®ã¿ã«ã¿ãLv.72ã¯éã; int3 & fact1 -> hypothesis;"
] | [
"fact8 -> int1: ({A}{aa} v {B}{aa}); int1 -> int2: (Ex): ({A}x v {B}x); int2 & fact6 -> int3: {C}{a}; int3 & fact1 -> hypothesis;"
] | ãã®ã¿ã«ã¿ãLv.72ã¯ã现ã | {GG}{a} | [
"fact9 -> int4: ããä»®ã«ãã®ãã«ãããªLv.32ã¯ã©ã§ãããªããšãããããã®ãã«ãããªLv.32ã¯éããªããçªãããšããããšã¯åœã§ãã; fact10 -> int5: ããä»®ã«ããã®ã¿ã«ã¿ãLv.72ã¯éããªããã©ããã¯çªãããšããããšã¯ééã£ãŠãããšããããã®ã¿ã«ã¿ãLv.72ã¯çªããšããããšã¯ãªã;"
] | 7 | 4 | 4 | 4 | 4 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ã«ã¿ãLv.72ãéããªãã°ãã®ã¿ã«ã¿ãLv.72ã¯ã©ã§ãã fact2: ãããäœããã®ã¢ã³ã¹ã¿ãŒã¯éããšããããšã¯ãªãããããçªãããšããããšã¯æãç«ããªããšããã°ãçªããªãããšããããšã¯ééã£ãŠããªã fact3: ããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯ã©ã§ãããªããªãã°ãéããªãããããçªãããšããããšã¯æ¬åœã§ãªã fact4: ããããã®ãã«ãããªLv.32ãæšãŠé£ããªããšãããšããã¯äžæãããšããããšã¯ãªããã©ç©åãŸãã fact5: ããããã¢ã³ã¹ã¿ãŒã¯äžæãããšããããšã¯ãªãããããã¯éããªãããããã¯ã©ã¡ãããªãéããªã fact6: ãªã«ãããã®ã¢ã³ã¹ã¿ãŒãå®ãããŸãã¯çªããªããã®ã¿ã«ã¿ãLv.72ã¯éã fact7: ããä»®ã«ããã®ãã«ãããªLv.32ã¯å®ããªããŠçªããšããããšã¯ãªãããšããããšã¯æãç«ããªããªããã®ã¿ã«ã¿ãLv.72ã¯ã©ã§ãããªã fact8: ãã®ãœã¡ããœã¡ãLv.13ã¯çªã ; $hypothesis$ = ãã®ã¿ã«ã¿ãLv.72ã¯ã©ã§ãããªã ; $proof$ = | fact8 -> int1: ãã®ãœã¡ããœã¡ãLv.13ã¯å®ãããŸãã¯çªãããããã¯äž¡æ¹ã§ãã; int1 -> int2: ãšããã¢ã³ã¹ã¿ãŒã¯å®ããããã¯çªã; int2 & fact6 -> int3: ãã®ã¿ã«ã¿ãLv.72ã¯éã; int3 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{a} -> {D}{a} fact2: (x): ¬(¬{C}x & {B}x) -> ¬{B}x fact3: (x): ¬{D}x -> ¬(¬{C}x & {B}x) fact4: ¬{G}{b} -> (¬{E}{b} & {F}{b}) fact5: (x): (¬{E}x v ¬{C}x) -> ¬{C}x fact6: (x): ({A}x v {B}x) -> {C}{a} fact7: ¬(¬{A}{b} & ¬{B}{b}) -> ¬{D}{a} fact8: {B}{aa} ; $hypothesis$ = ¬{D}{a} ; $proof$ = | fact8 -> int1: ({A}{aa} v {B}{aa}); int1 -> int2: (Ex): ({A}x v {B}x); int2 & fact6 -> int3: {C}{a}; int3 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ããããLv.9ã¯å¯ç¬ããªã | ¬{D}{b} | fact1: ä»®ã«ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã溶ããåºããšããã°ãã®ããããLv.9ã¯å¯ç¬ã fact2: ãã®ãããã¡ã
Lv.78ã¯äžãã fact3: ãã®ãœããœã«Lv.70ã¯äžããããããã¯å·ãé£ã fact4: ãã®ãœããœã«Lv.70ãå·ãé£ããªãã°ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã¯æº¶ããåºã fact5: ãããã®ãœããœã«Lv.70ãäžããã°ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã¯æº¶ããåºã fact6: ãã€ã£ããã¢ã³ã¹ã¿ãŒã¯äžããªã fact7: ããä»®ã«ãã®ãœããœã«Lv.70ãäžããªããã©å¯ç¬ããªãã°ãã®ããããLv.9ã¯å¯ç¬ããªã fact8: ãã®ãŸã®ãŸã®Lv.82ã¯å¯ç¬ã fact9: ããã®ããããLv.9ã¯å·ãé£ãããšããããšã¯æ¬åœãªããã®ãœããœã«Lv.70ã¯å¯ç¬ã | fact1: {C}{c} -> {D}{b} fact2: {A}{fe} fact3: ({A}{a} v {B}{a}) fact4: {B}{a} -> {C}{c} fact5: {A}{a} -> {C}{c} fact6: (x): {E}x -> ¬{A}x fact7: (¬{A}{a} & {D}{a}) -> ¬{D}{b} fact8: {D}{d} fact9: {B}{b} -> {D}{a} | [
"fact3 & fact5 & fact4 -> int1: ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã¯æº¶ããåºã; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact5 & fact4 -> int1: {C}{c}; int1 & fact1 -> hypothesis;"
] | ãã®ããããLv.9ã¯å¯ç¬ããªã | ¬{D}{b} | [
"fact10 -> int2: ä»®ã«ããã®ãœããœã«Lv.70ã¯ãã€ã£ããããšããããšã¯äºå®ã§ãããªãäžããªã;"
] | 4 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ä»®ã«ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã溶ããåºããšããã°ãã®ããããLv.9ã¯å¯ç¬ã fact2: ãã®ãããã¡ã
Lv.78ã¯äžãã fact3: ãã®ãœããœã«Lv.70ã¯äžããããããã¯å·ãé£ã fact4: ãã®ãœããœã«Lv.70ãå·ãé£ããªãã°ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã¯æº¶ããåºã fact5: ãããã®ãœããœã«Lv.70ãäžããã°ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã¯æº¶ããåºã fact6: ãã€ã£ããã¢ã³ã¹ã¿ãŒã¯äžããªã fact7: ããä»®ã«ãã®ãœããœã«Lv.70ãäžããªããã©å¯ç¬ããªãã°ãã®ããããLv.9ã¯å¯ç¬ããªã fact8: ãã®ãŸã®ãŸã®Lv.82ã¯å¯ç¬ã fact9: ããã®ããããLv.9ã¯å·ãé£ãããšããããšã¯æ¬åœãªããã®ãœããœã«Lv.70ã¯å¯ç¬ã ; $hypothesis$ = ãã®ããããLv.9ã¯å¯ç¬ããªã ; $proof$ = | fact3 & fact5 & fact4 -> int1: ãã®ã¿ã«ã
ã¿ã«ã
Lv.82ã¯æº¶ããåºã; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C}{c} -> {D}{b} fact2: {A}{fe} fact3: ({A}{a} v {B}{a}) fact4: {B}{a} -> {C}{c} fact5: {A}{a} -> {C}{c} fact6: (x): {E}x -> ¬{A}x fact7: (¬{A}{a} & {D}{a}) -> ¬{D}{b} fact8: {D}{d} fact9: {B}{b} -> {D}{a} ; $hypothesis$ = ¬{D}{b} ; $proof$ = | fact3 & fact5 & fact4 -> int1: {C}{c}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã«ãŸã¡ã
Lv.80ã¯ç¡ããªã | ¬{E}{c} | fact1: ãã®ã¿ãã¿ãLv.44ã¯æ¯èŠãã fact2: ããã®ã¿ãã¿ãLv.44ã¯çŽãããšããããšã¯ç¢ºãã§ãã fact3: ãããã®ã¿ãã¿ãLv.44ãæ¯èŠãããããŸãã«èª¿ç¯ãæããšããããã®ãŸããŸã«ãLv.88ã¯éŠŽã銎ããããªã fact4: ããã®ã¿ãã¿ãLv.44ã¯çŽãããšããããšã¯æ£ãããªãã°ããã¯èª¿ç¯ãæã fact5: ä»®ã«ãã®ã¿ãã¿ãLv.44ãæ¯èŠããããã®äžéŠŽã銎ããããšããããã®ãŸã«ãŸã¡ã
Lv.80ã¯èª¿ç¯ãæããªã | fact1: {C}{a} fact2: {A}{a} fact3: ({C}{a} & {B}{a}) -> ¬{D}{b} fact4: {A}{a} -> {B}{a} fact5: ({C}{a} & {D}{a}) -> ¬{B}{c} | [
"fact4 & fact2 -> int1: ãã®ã¿ãã¿ãLv.44ã¯èª¿ç¯ãæã; int1 & fact1 -> int2: ãã®ã¿ãã¿ãLv.44ã¯æ¯èŠãããŠããŸãã«ããã¯èª¿ç¯ãæã; int2 & fact3 -> int3: ãã®ãŸããŸã«ãLv.88ã¯éŠŽã銎ããããªã;"
] | [
"fact4 & fact2 -> int1: {B}{a}; int1 & fact1 -> int2: ({C}{a} & {B}{a}); int2 & fact3 -> int3: ¬{D}{b};"
] | ãã®ãŸã«ãŸã¡ã
Lv.80ã¯ç¡ããªã | ¬{E}{c} | [] | 10 | 5 | 5 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ãã®ã¿ãã¿ãLv.44ã¯æ¯èŠãã fact2: ããã®ã¿ãã¿ãLv.44ã¯çŽãããšããããšã¯ç¢ºãã§ãã fact3: ãããã®ã¿ãã¿ãLv.44ãæ¯èŠãããããŸãã«èª¿ç¯ãæããšããããã®ãŸããŸã«ãLv.88ã¯éŠŽã銎ããããªã fact4: ããã®ã¿ãã¿ãLv.44ã¯çŽãããšããããšã¯æ£ãããªãã°ããã¯èª¿ç¯ãæã fact5: ä»®ã«ãã®ã¿ãã¿ãLv.44ãæ¯èŠããããã®äžéŠŽã銎ããããšããããã®ãŸã«ãŸã¡ã
Lv.80ã¯èª¿ç¯ãæããªã ; $hypothesis$ = ãã®ãŸã«ãŸã¡ã
Lv.80ã¯ç¡ããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} fact2: {A}{a} fact3: ({C}{a} & {B}{a}) -> ¬{D}{b} fact4: {A}{a} -> {B}{a} fact5: ({C}{a} & {D}{a}) -> ¬{B}{c} ; $hypothesis$ = ¬{E}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã«ãLv.11ã¯é¢ã | {B}{a} | fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒãç
©ããããªããªãããã¯é¢çœãããããŠããã«ããã¯é¢ã fact2: ãããããã®ã·ãã·ã«ãLv.11ã¯é¢çœããããããšããããšã¯æ¬åœãªãã°ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããããªã fact3: ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããã fact4: ããããã®ã·ãã·ã«ãLv.11ãé¢çœããããããããã¯é¢ããšããã°ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããããšããããšã¯ãªã fact5: ããããã®ã¿ãã¿ã«ãLv.43ãæ»ãæããšããããšã¯ãªããšãããšãã®ã·ãã·ã«ãLv.11ã¯é¢çœãããããããã«ç
©ãããããšããããšã¯ç¢ºãã fact6: é¢çœããããã¢ã³ã¹ã¿ãŒã¯é¢ã | fact1: (x): ¬{C}x -> ({A}x & {B}x) fact2: {A}{a} -> ¬{C}{b} fact3: {C}{b} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: ¬{D}{b} -> ({A}{a} & {C}{a}) fact6: (x): {A}x -> {B}x | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã«ãLv.11ã¯é¢ã; assump1 -> int1: ãã®ã·ãã·ã«ãLv.11ã¯é¢çœãããããé¢ã; int1 & fact4 -> int2: ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis;"
] | [
"void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis;"
] | 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã«ãLv.11ã¯é¢ã | {B}{a} | [
"fact7 -> int4: ããä»®ã«ãã®ã·ãã·ã«ãLv.11ãé¢çœãããããªãé¢ã;"
] | 5 | 5 | 3 | 5 | 3 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ããäœããã®ã¢ã³ã¹ã¿ãŒãç
©ããããªããªãããã¯é¢çœãããããŠããã«ããã¯é¢ã fact2: ãããããã®ã·ãã·ã«ãLv.11ã¯é¢çœããããããšããããšã¯æ¬åœãªãã°ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããããªã fact3: ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããã fact4: ããããã®ã·ãã·ã«ãLv.11ãé¢çœããããããããã¯é¢ããšããã°ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããããšããããšã¯ãªã fact5: ããããã®ã¿ãã¿ã«ãLv.43ãæ»ãæããšããããšã¯ãªããšãããšãã®ã·ãã·ã«ãLv.11ã¯é¢çœãããããããã«ç
©ãããããšããããšã¯ç¢ºãã fact6: é¢çœããããã¢ã³ã¹ã¿ãŒã¯é¢ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã«ãLv.11ã¯é¢ã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ã·ãã·ã«ãLv.11ã¯é¢ã; assump1 -> int1: ãã®ã·ãã·ã«ãLv.11ã¯é¢çœãããããé¢ã; int1 & fact4 -> int2: ãã®ã¿ãã¿ã«ãLv.43ã¯ç
©ããããªã; int2 & fact3 -> int3: ããã¯ççŸã§ãã; [assump1] & int3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ¬{C}x -> ({A}x & {B}x) fact2: {A}{a} -> ¬{C}{b} fact3: {C}{b} fact4: ({A}{a} v {B}{a}) -> ¬{C}{b} fact5: ¬{D}{b} -> ({A}{a} & {C}{a}) fact6: (x): {A}x -> {B}x ; $hypothesis$ = {B}{a} ; $proof$ = | void -> assump1: {B}{a}; assump1 -> int1: ({A}{a} v {B}{a}); int1 & fact4 -> int2: ¬{C}{b}; int2 & fact3 -> int3: #F#; [assump1] & int3 -> hypothesis; __DISPROVED__ |
0.3 | 以äžã®ããã«ä»®å®ããããã®ãã®ãã¡ã
Lv.15ã¯æ©éããäžæ¹ã§å¥³ã
ãããªã | ({AA}{a} & ¬{AB}{a}) | fact1: ãããã®ãã®ãã¡ã
Lv.15ãæ©éãããããã女ã
ãããªããšããã°ããã¯å©çšãèŸããªã fact2: ãã®ãã®ãã¡ã
Lv.15ã¯å©çšãèŸã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å ªãé£ã | fact1: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact2: {B}{a} fact3: (x): {C}x | [
"void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã®ãã¡ã
Lv.15ã¯æ©éããäžæ¹ã§å¥³ã
ãããªã; fact1 & assump1 -> int1: ãã®ãã®ãã¡ã
Lv.15ã¯å©çšãèŸããªã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis;"
] | [
"void -> assump1: ({AA}{a} & ¬{AB}{a}); fact1 & assump1 -> int1: ¬{B}{a}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis;"
] | ãã®ãŸããŸã«ãLv.0ã¯æ©éããªã | ¬{AA}{da} | [
"fact4 -> int3: ããã®ãã®ãã¡ã
Lv.15ã¯å ªãé£ãããšããããšã¯æãç«ã€;"
] | 5 | 4 | 3 | 4 | 3 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ãããã®ãã®ãã¡ã
Lv.15ãæ©éãããããã女ã
ãããªããšããã°ããã¯å©çšãèŸããªã fact2: ãã®ãã®ãã¡ã
Lv.15ã¯å©çšãèŸã fact3: ãã¹ãŠã®ã¢ã³ã¹ã¿ãŒã¯å ªãé£ã ; $hypothesis$ = 以äžã®ããã«ä»®å®ããããã®ãã®ãã¡ã
Lv.15ã¯æ©éããäžæ¹ã§å¥³ã
ãããªã ; $proof$ = | void -> assump1: 以äžã®ããã«ä»®å®ããããã®ãã®ãã¡ã
Lv.15ã¯æ©éããäžæ¹ã§å¥³ã
ãããªã; fact1 & assump1 -> int1: ãã®ãã®ãã¡ã
Lv.15ã¯å©çšãèŸããªã; int1 & fact2 -> int2: ããã¯ççŸã§ãã; [assump1] & int2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{a} & ¬{AB}{a}) -> ¬{B}{a} fact2: {B}{a} fact3: (x): {C}x ; $hypothesis$ = ({AA}{a} & ¬{AB}{a}) ; $proof$ = | void -> assump1: ({AA}{a} & ¬{AB}{a}); fact1 & assump1 -> int1: ¬{B}{a}; int1 & fact2 -> int2: #F#; [assump1] & int2 -> hypothesis; __DISPROVED__ |
0.3 | ãã®ãŸã®ãŸãLv.20ã¯çœããªã | ¬{F}{c} | fact1: ããä»®ã«ãã®ãŽããŽãLv.65ãå°æããªããã®ãŸã®ãŸãLv.20ã¯çœã fact2: ããããã®ãŽããŽãLv.65ã¯åç«æªæãããšããã°ããã®ãŽããŽãLv.65ã¯å°æãããšããããšã¯æãç«ã€ fact3: ããä»®ã«ãã®ã·ã¡ãã·ãªLv.4ãåãæ±ãæããªããã®ã·ã¡ãã·ãªLv.4ã¯çŽ°é·ã fact4: ãããšããã¢ã³ã¹ã¿ãŒã¯åãæ±ãæããªããšããã°ãããããçœãããã®äžæŒãæãããšããããšã¯çå®ã ããšããããšã¯äºå®ãšç°ãªã fact5: ãã®ã·ã¡ãã·ãªLv.4ã现é·ããšãããšãã®ãŽããŽãLv.65ã¯åç«æªæãã fact6: ãã®ã·ã¡ãã·ãªLv.4ã¯æŒãæã fact7: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çœããããã«æŒãæãããšããããšã¯ç¢ºãã§ãªããšãããšããã¯çœããªãããšããããšã¯æ¬åœã§ãã | fact1: {E}{b} -> {F}{c} fact2: {D}{b} -> {E}{b} fact3: {B}{a} -> {C}{a} fact4: (x): ¬{B}x -> ¬({F}x & {A}x) fact5: {C}{a} -> {D}{b} fact6: {A}{a} fact7: (x): ¬({F}x & {A}x) -> ¬{F}x | [] | [] | ãã®ãŸã®ãŸãLv.20ã¯çœããªã | ¬{F}{c} | [
"fact8 -> int1: ä»®ã«ããã®ãŸã®ãŸãLv.20ã¯çœããæŒãæãããšããããšã¯çå®ã§ãªããšãããšãã®ãŸã®ãŸãLv.20ã¯çœããªã; fact9 -> int2: ä»®ã«ãã®ãŸã®ãŸãLv.20ã¯åãæ±ãæããªããšãããšãçœãããã€æŒãæãããšããããšã¯äºå®ãšç°ãªã;"
] | 7 | 5 | 5 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ããä»®ã«ãã®ãŽããŽãLv.65ãå°æããªããã®ãŸã®ãŸãLv.20ã¯çœã fact2: ããããã®ãŽããŽãLv.65ã¯åç«æªæãããšããã°ããã®ãŽããŽãLv.65ã¯å°æãããšããããšã¯æãç«ã€ fact3: ããä»®ã«ãã®ã·ã¡ãã·ãªLv.4ãåãæ±ãæããªããã®ã·ã¡ãã·ãªLv.4ã¯çŽ°é·ã fact4: ãããšããã¢ã³ã¹ã¿ãŒã¯åãæ±ãæããªããšããã°ãããããçœãããã®äžæŒãæãããšããããšã¯çå®ã ããšããããšã¯äºå®ãšç°ãªã fact5: ãã®ã·ã¡ãã·ãªLv.4ã现é·ããšãããšãã®ãŽããŽãLv.65ã¯åç«æªæãã fact6: ãã®ã·ã¡ãã·ãªLv.4ã¯æŒãæã fact7: ãããããªã«ãããã®ã¢ã³ã¹ã¿ãŒã¯çœããããã«æŒãæãããšããããšã¯ç¢ºãã§ãªããšãããšããã¯çœããªãããšããããšã¯æ¬åœã§ãã ; $hypothesis$ = ãã®ãŸã®ãŸãLv.20ã¯çœããªã ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E}{b} -> {F}{c} fact2: {D}{b} -> {E}{b} fact3: {B}{a} -> {C}{a} fact4: (x): ¬{B}x -> ¬({F}x & {A}x) fact5: {C}{a} -> {D}{b} fact6: {A}{a} fact7: (x): ¬({F}x & {A}x) -> ¬{F}x ; $hypothesis$ = ¬{F}{c} ; $proof$ = | __UNKNOWN__ |
Subsets and Splits