0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.13/0.34 % Computer : n028.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:36:35 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.35 % Drodi V3.3.3 0.19/0.47 % Refutation found 0.19/0.47 % SZS status Theorem for theBenchmark: Theorem is valid 0.19/0.47 % SZS output start CNFRefutation for theBenchmark 0.19/0.47 fof(f1,axiom,( 0.19/0.47 (! [B] :( element(B)<=> (? [C] :( C = times(B,B)& times(B,C) = B ) )) )), 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.47 fof(f2,conjecture,( 0.19/0.47 (! [A,B,C] :( ( element(B)& times(A,B) = C& element(A) )=> element(C) ) )), 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.47 fof(f3,negated_conjecture,( 0.19/0.47 ~((! [A,B,C] :( ( element(B)& times(A,B) = C& element(A) )=> element(C) ) ))), 0.19/0.47 inference(negated_conjecture,[status(cth)],[f2])). 0.19/0.47 fof(f4,axiom,( 0.19/0.47 (! [A,B,C] : times(times(A,B),C) = times(B,times(C,A)) )), 0.19/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.47 fof(f5,plain,( 0.19/0.47 ![B]: ((~element(B)|(?[C]: (C=times(B,B)×(B,C)=B)))&(element(B)|(![C]: (~C=times(B,B)|~times(B,C)=B))))), 0.19/0.47 inference(NNF_transformation,[status(esa)],[f1])). 0.19/0.47 fof(f6,plain,( 0.19/0.47 (![B]: (~element(B)|(?[C]: (C=times(B,B)×(B,C)=B))))&(![B]: (element(B)|(![C]: (~C=times(B,B)|~times(B,C)=B))))), 0.19/0.47 inference(miniscoping,[status(esa)],[f5])). 0.19/0.47 fof(f7,plain,( 0.19/0.47 (![B]: (~element(B)|(sk0_0(B)=times(B,B)×(B,sk0_0(B))=B)))&(![B]: (element(B)|(![C]: (~C=times(B,B)|~times(B,C)=B))))), 0.19/0.47 inference(skolemization,[status(esa)],[f6])). 0.19/0.47 fof(f8,plain,( 0.19/0.47 ![X0]: (~element(X0)|sk0_0(X0)=times(X0,X0))), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f7])). 0.19/0.47 fof(f9,plain,( 0.19/0.47 ![X0]: (~element(X0)|times(X0,sk0_0(X0))=X0)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f7])). 0.19/0.47 fof(f10,plain,( 0.19/0.47 ![X0,X1]: (element(X0)|~X1=times(X0,X0)|~times(X0,X1)=X0)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f7])). 0.19/0.47 fof(f11,plain,( 0.19/0.47 (?[A,B,C]: (((element(B)×(A,B)=C)&element(A))&~element(C)))), 0.19/0.47 inference(pre_NNF_transformation,[status(esa)],[f3])). 0.19/0.47 fof(f12,plain,( 0.19/0.47 ?[C]: ((?[A]: ((?[B]: (element(B)×(A,B)=C))&element(A)))&~element(C))), 0.19/0.47 inference(miniscoping,[status(esa)],[f11])). 0.19/0.47 fof(f13,plain,( 0.19/0.47 (((element(sk0_3)×(sk0_2,sk0_3)=sk0_1)&element(sk0_2))&~element(sk0_1))), 0.19/0.47 inference(skolemization,[status(esa)],[f12])). 0.19/0.47 fof(f14,plain,( 0.19/0.47 element(sk0_3)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f13])). 0.19/0.47 fof(f15,plain,( 0.19/0.47 times(sk0_2,sk0_3)=sk0_1), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f13])). 0.19/0.47 fof(f16,plain,( 0.19/0.47 element(sk0_2)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f13])). 0.19/0.47 fof(f17,plain,( 0.19/0.47 ~element(sk0_1)), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f13])). 0.19/0.47 fof(f18,plain,( 0.19/0.47 ![X0,X1,X2]: (times(times(X0,X1),X2)=times(X1,times(X2,X0)))), 0.19/0.47 inference(cnf_transformation,[status(esa)],[f4])). 0.19/0.47 fof(f19,plain,( 0.19/0.47 ![X0]: (element(X0)|~times(X0,times(X0,X0))=X0)), 0.19/0.47 inference(destructive_equality_resolution,[status(esa)],[f10])). 0.19/0.47 fof(f20,plain,( 0.19/0.47 sk0_0(sk0_2)=times(sk0_2,sk0_2)), 0.19/0.47 inference(resolution,[status(thm)],[f8,f16])). 0.19/0.47 fof(f21,plain,( 0.19/0.47 sk0_0(sk0_3)=times(sk0_3,sk0_3)), 0.19/0.47 inference(resolution,[status(thm)],[f8,f14])). 0.19/0.47 fof(f22,plain,( 0.19/0.47 ![X0,X1,X2,X3]: (times(times(X0,times(X1,X2)),X3)=times(X1,times(X3,times(X2,X0))))), 0.19/0.47 inference(paramodulation,[status(thm)],[f18,f18])). 0.19/0.47 fof(f23,plain,( 0.19/0.47 ![X0,X1,X2,X3]: (times(times(X0,X1),times(X2,X3))=times(X0,times(X2,times(X1,X3))))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f22])). 0.19/0.47 fof(f24,plain,( 0.19/0.47 ![X0,X1,X2,X3]: (times(X0,times(times(X1,X2),X3))=times(X3,times(X1,times(X0,X2))))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f23])). 0.19/0.47 fof(f25,plain,( 0.19/0.47 ![X0,X1,X2,X3]: (times(X0,times(X1,times(X2,X3)))=times(X2,times(X3,times(X0,X1))))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f24])). 0.19/0.47 fof(f26,plain,( 0.19/0.47 ![X0]: (times(sk0_1,X0)=times(sk0_3,times(X0,sk0_2)))), 0.19/0.47 inference(paramodulation,[status(thm)],[f15,f18])). 0.19/0.47 fof(f27,plain,( 0.19/0.47 times(sk0_2,sk0_0(sk0_2))=sk0_2), 0.19/0.47 inference(resolution,[status(thm)],[f9,f16])). 0.19/0.47 fof(f28,plain,( 0.19/0.47 times(sk0_3,sk0_0(sk0_3))=sk0_3), 0.19/0.47 inference(resolution,[status(thm)],[f9,f14])). 0.19/0.47 fof(f29,plain,( 0.19/0.47 ![X0]: (times(sk0_0(sk0_2),X0)=times(sk0_2,times(X0,sk0_2)))), 0.19/0.47 inference(paramodulation,[status(thm)],[f20,f18])). 0.19/0.47 fof(f30,plain,( 0.19/0.47 ![X0]: (times(sk0_0(sk0_3),X0)=times(sk0_3,times(X0,sk0_3)))), 0.19/0.47 inference(paramodulation,[status(thm)],[f21,f18])). 0.19/0.47 fof(f53,plain,( 0.19/0.47 ![X0,X1]: (element(times(X0,X1))|~times(times(X0,X1),times(X1,times(times(X0,X1),X0)))=times(X0,X1))), 0.19/0.47 inference(paramodulation,[status(thm)],[f18,f19])). 0.19/0.47 fof(f54,plain,( 0.19/0.47 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(times(X1,times(times(X0,X1),X0)),X0))=times(X0,X1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f53])). 0.19/0.47 fof(f55,plain,( 0.19/0.47 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(times(times(X0,X1),X0),times(X0,X1)))=times(X0,X1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f54])). 0.19/0.47 fof(f56,plain,( 0.19/0.47 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X0,times(times(X0,X1),times(X0,X1))))=times(X0,X1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f55])). 0.19/0.47 fof(f57,plain,( 0.19/0.47 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X0,times(X1,times(times(X0,X1),X0))))=times(X0,X1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f56])). 0.19/0.47 fof(f58,plain,( 0.19/0.47 ![X0,X1]: (element(times(X0,X1))|~times(X1,times(X0,times(X1,times(X1,times(X0,X0)))))=times(X0,X1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f57])). 0.19/0.47 fof(f73,plain,( 0.19/0.47 ![X0,X1]: (times(X0,times(X1,sk0_0(sk0_3)))=times(sk0_3,times(sk0_3,times(X0,X1))))), 0.19/0.47 inference(paramodulation,[status(thm)],[f21,f25])). 0.19/0.47 fof(f76,plain,( 0.19/0.47 ![X0,X1]: (times(X0,times(X1,sk0_1))=times(sk0_2,times(sk0_3,times(X0,X1))))), 0.19/0.47 inference(paramodulation,[status(thm)],[f15,f25])). 0.19/0.47 fof(f452,plain,( 0.19/0.47 times(sk0_0(sk0_2),sk0_2)=times(sk0_2,sk0_0(sk0_2))), 0.19/0.47 inference(paramodulation,[status(thm)],[f20,f29])). 0.19/0.47 fof(f453,plain,( 0.19/0.47 times(sk0_0(sk0_2),sk0_2)=sk0_2), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f27,f452])). 0.19/0.47 fof(f827,plain,( 0.19/0.47 times(sk0_1,sk0_0(sk0_2))=times(sk0_3,sk0_2)), 0.19/0.47 inference(paramodulation,[status(thm)],[f453,f26])). 0.19/0.47 fof(f855,plain,( 0.19/0.47 ![X0]: (times(times(sk0_3,sk0_2),X0)=times(sk0_0(sk0_2),times(X0,sk0_1)))), 0.19/0.47 inference(paramodulation,[status(thm)],[f827,f18])). 0.19/0.47 fof(f856,plain,( 0.19/0.47 ![X0]: (times(sk0_2,times(X0,sk0_3))=times(sk0_0(sk0_2),times(X0,sk0_1)))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f855])). 0.19/0.47 fof(f857,plain,( 0.19/0.47 times(sk0_0(sk0_3),sk0_3)=times(sk0_3,sk0_0(sk0_3))), 0.19/0.47 inference(paramodulation,[status(thm)],[f21,f30])). 0.19/0.47 fof(f858,plain,( 0.19/0.47 times(sk0_0(sk0_3),sk0_3)=sk0_3), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f28,f857])). 0.19/0.47 fof(f859,plain,( 0.19/0.47 times(sk0_0(sk0_3),sk0_2)=times(sk0_3,sk0_1)), 0.19/0.47 inference(paramodulation,[status(thm)],[f15,f30])). 0.19/0.47 fof(f863,plain,( 0.19/0.47 ![X0]: (times(X0,times(sk0_3,sk0_1))=times(sk0_2,times(sk0_0(sk0_3),X0)))), 0.19/0.47 inference(paramodulation,[status(thm)],[f30,f76])). 0.19/0.47 fof(f1211,plain,( 0.19/0.47 times(sk0_3,times(sk0_3,sk0_1))=times(sk0_2,sk0_3)), 0.19/0.47 inference(paramodulation,[status(thm)],[f858,f863])). 0.19/0.47 fof(f1212,plain,( 0.19/0.47 times(sk0_3,times(sk0_3,sk0_1))=sk0_1), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f15,f1211])). 0.19/0.47 fof(f1301,plain,( 0.19/0.47 times(sk0_3,times(times(sk0_3,sk0_1),sk0_0(sk0_3)))=times(sk0_3,times(sk0_3,sk0_1))), 0.19/0.47 inference(paramodulation,[status(thm)],[f1212,f73])). 0.19/0.47 fof(f1302,plain,( 0.19/0.47 times(sk0_3,times(sk0_1,times(sk0_0(sk0_3),sk0_3)))=times(sk0_3,times(sk0_3,sk0_1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f1301])). 0.19/0.47 fof(f1303,plain,( 0.19/0.47 times(sk0_3,times(sk0_1,sk0_3))=times(sk0_3,times(sk0_3,sk0_1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f858,f1302])). 0.19/0.47 fof(f1304,plain,( 0.19/0.47 times(sk0_0(sk0_3),sk0_1)=times(sk0_3,times(sk0_3,sk0_1))), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f30,f1303])). 0.19/0.47 fof(f1305,plain,( 0.19/0.47 times(sk0_0(sk0_3),sk0_1)=sk0_1), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f1212,f1304])). 0.19/0.47 fof(f1320,plain,( 0.19/0.47 times(sk0_1,sk0_0(sk0_3))=times(sk0_3,times(sk0_3,sk0_1))), 0.19/0.47 inference(paramodulation,[status(thm)],[f859,f26])). 0.19/0.47 fof(f1321,plain,( 0.19/0.47 times(sk0_1,sk0_0(sk0_3))=sk0_1), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f1212,f1320])). 0.19/0.47 fof(f1351,plain,( 0.19/0.47 times(sk0_2,times(sk0_0(sk0_3),sk0_3))=times(sk0_0(sk0_2),sk0_1)), 0.19/0.47 inference(paramodulation,[status(thm)],[f1305,f856])). 0.19/0.47 fof(f1352,plain,( 0.19/0.47 times(sk0_3,times(sk0_3,sk0_1))=times(sk0_0(sk0_2),sk0_1)), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f863,f1351])). 0.19/0.47 fof(f1353,plain,( 0.19/0.47 sk0_1=times(sk0_0(sk0_2),sk0_1)), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f1212,f1352])). 0.19/0.47 fof(f1444,plain,( 0.19/0.47 spl0_31 <=> element(times(sk0_2,sk0_3))), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f1445,plain,( 0.19/0.47 element(times(sk0_2,sk0_3))|~spl0_31), 0.19/0.47 inference(component_clause,[status(thm)],[f1444])). 0.19/0.47 fof(f1447,plain,( 0.19/0.47 spl0_32 <=> times(sk0_3,times(sk0_3,times(times(sk0_2,sk0_2),sk0_1)))=times(sk0_2,sk0_3)), 0.19/0.47 introduced(split_symbol_definition)). 0.19/0.47 fof(f1449,plain,( 0.19/0.47 ~times(sk0_3,times(sk0_3,times(times(sk0_2,sk0_2),sk0_1)))=times(sk0_2,sk0_3)|spl0_32), 0.19/0.47 inference(component_clause,[status(thm)],[f1447])). 0.19/0.47 fof(f1450,plain,( 0.19/0.47 element(times(sk0_2,sk0_3))|~times(sk0_3,times(sk0_3,times(times(sk0_2,sk0_2),sk0_1)))=times(sk0_2,sk0_3)), 0.19/0.47 inference(paramodulation,[status(thm)],[f76,f58])). 0.19/0.47 fof(f1451,plain,( 0.19/0.47 spl0_31|~spl0_32), 0.19/0.47 inference(split_clause,[status(thm)],[f1450,f1444,f1447])). 0.19/0.47 fof(f1680,plain,( 0.19/0.47 ~times(times(sk0_2,sk0_2),times(sk0_1,sk0_0(sk0_3)))=times(sk0_2,sk0_3)|spl0_32), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f73,f1449])). 0.19/0.47 fof(f1681,plain,( 0.19/0.47 ~times(sk0_2,times(times(sk0_1,sk0_0(sk0_3)),sk0_2))=times(sk0_2,sk0_3)|spl0_32), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f18,f1680])). 0.19/0.47 fof(f1682,plain,( 0.19/0.47 ~times(sk0_0(sk0_2),times(sk0_1,sk0_0(sk0_3)))=times(sk0_2,sk0_3)|spl0_32), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f29,f1681])). 0.19/0.47 fof(f1683,plain,( 0.19/0.47 ~times(sk0_0(sk0_2),sk0_1)=times(sk0_2,sk0_3)|spl0_32), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f1321,f1682])). 0.19/0.47 fof(f1684,plain,( 0.19/0.47 ~sk0_1=times(sk0_2,sk0_3)|spl0_32), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f1353,f1683])). 0.19/0.47 fof(f1685,plain,( 0.19/0.47 ~sk0_1=sk0_1|spl0_32), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f15,f1684])). 0.19/0.47 fof(f1686,plain,( 0.19/0.47 $false|spl0_32), 0.19/0.47 inference(trivial_equality_resolution,[status(esa)],[f1685])). 0.19/0.47 fof(f1687,plain,( 0.19/0.47 spl0_32), 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1686])). 0.19/0.47 fof(f1753,plain,( 0.19/0.47 element(sk0_1)|~spl0_31), 0.19/0.47 inference(forward_demodulation,[status(thm)],[f15,f1445])). 0.19/0.47 fof(f1754,plain,( 0.19/0.47 $false|~spl0_31), 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1753,f17])). 0.19/0.47 fof(f1755,plain,( 0.19/0.47 ~spl0_31), 0.19/0.47 inference(contradiction_clause,[status(thm)],[f1754])). 0.19/0.47 fof(f1756,plain,( 0.19/0.47 $false), 0.19/0.47 inference(sat_refutation,[status(thm)],[f1451,f1687,f1755])). 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p 0.19/0.48 % Elapsed time: 0.139993 seconds 0.19/0.48 % CPU time: 0.968389 seconds 0.19/0.48 % Memory used: 90.504 MB 0.19/0.48 EOF