%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP599-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:52 PM UTC 2026
% Result : Unsatisfiable 9.78s 1.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP599-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:23:12 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 9.78/1.62 % Refutation found
% 9.78/1.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.78/1.62 % SZS output start CNFRefutation for theBenchmark
% 9.78/1.62 fof(f1,axiom,(
% 9.78/1.62 (![A,B,C]: (double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ))),
% 9.78/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.62 fof(f2,axiom,(
% 9.78/1.62 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 9.78/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.62 fof(f3,negated_conjecture,(
% 9.78/1.62 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 9.78/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.78/1.62 fof(f4,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1)))))=X2)),
% 9.78/1.62 inference(cnf_transformation,[status(thm)],[f1])).
% 9.78/1.62 fof(f5,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 9.78/1.62 inference(cnf_transformation,[status(thm)],[f2])).
% 9.78/1.62 fof(f6,plain,(
% 9.78/1.62 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 9.78/1.62 inference(cnf_transformation,[status(thm)],[f3])).
% 9.78/1.62 fof(f12,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2)))))=X2)),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 9.78/1.62 fof(f13,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0))=X2)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 9.78/1.62 fof(f14,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1)))=X3)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f13,f13])).
% 9.78/1.62 fof(f15,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,multiply(X2,X3)),X0))=double_divide(X3,X2))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f13])).
% 9.78/1.62 fof(f16,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0))=inverse(X1))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f13,f5])).
% 9.78/1.62 fof(f18,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,multiply(X1,X2)),X3),double_divide(X3,X0))=inverse(double_divide(X2,X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f16])).
% 9.78/1.62 fof(f19,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1)=inverse(X3))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f13,f16])).
% 9.78/1.62 fof(f20,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2))=X0)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f16,f13])).
% 9.78/1.62 fof(f21,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,multiply(X1,X2)),X3),double_divide(X3,X0))=multiply(X1,X2))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f5,f18])).
% 9.78/1.62 fof(f23,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(double_divide(multiply(X1,X2),X3),multiply(X3,inverse(X0))))=multiply(X1,X2))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f16,f21])).
% 9.78/1.62 fof(f27,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(inverse(X2),X3),multiply(X3,multiply(X0,X1))))=inverse(X2))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f21,f16])).
% 9.78/1.62 fof(f31,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,inverse(X3))),inverse(X3))=double_divide(X1,X0))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f20])).
% 9.78/1.62 fof(f49,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (multiply(multiply(multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),inverse(X4)),X1),X3)=inverse(X4))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f14,f16])).
% 9.78/1.62 fof(f62,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (multiply(multiply(multiply(multiply(multiply(X0,multiply(X1,X2)),X3),inverse(X4)),double_divide(X3,X0)),double_divide(X2,X1))=inverse(X4))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f15,f16])).
% 9.78/1.62 fof(f155,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,multiply(X2,inverse(X3)))),X2))=inverse(X3))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f27,f16])).
% 9.78/1.62 fof(f408,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))))=X3)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f19,f14])).
% 9.78/1.62 fof(f416,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5]: (double_divide(double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(multiply(X2,X3))),X4),inverse(X5)),double_divide(X4,X1))),multiply(inverse(X5),X0))=double_divide(X3,X2))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f19,f15])).
% 9.78/1.62 fof(f428,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(inverse(X2))),X3),inverse(X4)),double_divide(X3,X1))),multiply(inverse(X4),X0))=X2)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f19,f13])).
% 9.78/1.62 fof(f447,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(X0,multiply(inverse(X0),inverse(X1)))=X1)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f13,f408])).
% 9.78/1.62 fof(f526,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=X2)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f447])).
% 9.78/1.62 fof(f527,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(X0,multiply(inverse(X0),multiply(X1,X2)))=double_divide(X2,X1))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f447])).
% 9.78/1.62 fof(f550,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),multiply(X2,X3)))=double_divide(X3,X2))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f527])).
% 9.78/1.62 fof(f579,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(inverse(X0),multiply(X1,X2)),X0)=inverse(double_divide(X2,X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f527,f5])).
% 9.78/1.62 fof(f589,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(inverse(X0),multiply(X1,X2)),X0)=multiply(X1,X2))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f5,f579])).
% 9.78/1.62 fof(f798,plain,(
% 9.78/1.62 ![X0,X1,X2]: (double_divide(double_divide(multiply(X0,X1),inverse(inverse(X2))),multiply(X0,X1))=X2)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f589,f526])).
% 9.78/1.62 fof(f848,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(inverse(X0),inverse(inverse(X1))),multiply(inverse(X2),double_divide(double_divide(double_divide(inverse(X2),X3),multiply(X3,multiply(X4,inverse(X0)))),X4)))=X1)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f155,f798])).
% 9.78/1.62 fof(f872,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(X0,inverse(X1))=double_divide(inverse(X1),inverse(inverse(X0))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f798,f31])).
% 9.78/1.62 fof(f873,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(inverse(inverse(X1)),inverse(X0)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f798,f23])).
% 9.78/1.62 fof(f885,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(double_divide(inverse(X0),inverse(inverse(X1))),inverse(X0))=X1)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f155,f848])).
% 9.78/1.62 fof(f926,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(double_divide(X0,inverse(X1)),inverse(X1))=X0)),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f872,f885])).
% 9.78/1.62 fof(f966,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(X0),double_divide(X1,inverse(X0)))=inverse(X1))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f926,f5])).
% 9.78/1.62 fof(f1081,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(inverse(X0)),double_divide(X0,inverse(X1)))=inverse(inverse(X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f872,f966])).
% 9.78/1.62 fof(f1158,plain,(
% 9.78/1.62 ![X0]: (inverse(X0)=inverse(inverse(inverse(X0))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f966,f1081])).
% 9.78/1.62 fof(f1162,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(inverse(double_divide(X0,inverse(X1)))),X0)=inverse(inverse(X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f926,f1081])).
% 9.78/1.62 fof(f1189,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(multiply(inverse(X0),X1)),X1)=inverse(inverse(X0)))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f5,f1162])).
% 9.78/1.62 fof(f1225,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(inverse(inverse(X0))),X1)=inverse(inverse(multiply(inverse(X0),X1))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1189,f1189])).
% 9.78/1.62 fof(f1266,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(inverse(multiply(inverse(X0),X1))))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1158,f1225])).
% 9.78/1.62 fof(f1332,plain,(
% 9.78/1.62 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),multiply(inverse(X2),X3)))=inverse(multiply(inverse(X2),X3)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1266,f526])).
% 9.78/1.62 fof(f1363,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(double_divide(X0,inverse(X1)),X0)=inverse(inverse(X1)))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1375,f1189])).
% 9.78/1.62 fof(f1375,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(X0,inverse(X1))=inverse(multiply(inverse(X1),X0)))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f550,f1332])).
% 9.78/1.62 fof(f1394,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(double_divide(X0,inverse(X1)),inverse(X1))=inverse(inverse(X0)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f966,f1375])).
% 9.78/1.62 fof(f1436,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(double_divide(X0,inverse(X1)),X0)=X1)),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1469,f1363])).
% 9.78/1.62 fof(f1450,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(X1,inverse(X0)))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1469,f873])).
% 9.78/1.62 fof(f1453,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,multiply(multiply(multiply(multiply(X1,X2),X3),inverse(X4)),double_divide(X3,X1))),multiply(inverse(X4),X0))=X2)),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1469,f428])).
% 9.78/1.62 fof(f1469,plain,(
% 9.78/1.62 ![X0]: (X0=inverse(inverse(X0)))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f926,f1394])).
% 9.78/1.62 fof(f1490,plain,(
% 9.78/1.62 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1453,f416])).
% 9.78/1.62 fof(f1536,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(inverse(X0)),double_divide(X1,X0))=inverse(X1))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1469,f966])).
% 9.78/1.62 fof(f1538,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X1)=X0)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1469,f926])).
% 9.78/1.62 fof(f1558,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1469,f1536])).
% 9.78/1.62 fof(f1563,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1469,f1538])).
% 9.78/1.62 fof(f1673,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(multiply(multiply(multiply(multiply(inverse(X0),X1),inverse(X2)),double_divide(X1,multiply(multiply(multiply(multiply(multiply(multiply(X3,inverse(X4)),X5),inverse(inverse(X6))),double_divide(X5,X3)),inverse(X0)),X4))),inverse(X7)),X6),X2)=inverse(X7))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f49,f49])).
% 9.78/1.62 fof(f1693,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(multiply(multiply(multiply(multiply(inverse(X0),X1),inverse(X2)),double_divide(X1,multiply(multiply(multiply(multiply(multiply(multiply(X3,inverse(X4)),X5),X6),double_divide(X5,X3)),inverse(X0)),X4))),inverse(X7)),X6),X2)=inverse(X7))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1469,f1673])).
% 9.78/1.62 fof(f1709,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(double_divide(X0,X1),X0)=inverse(X1))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1469,f1436])).
% 9.78/1.62 fof(f1714,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),X0)=multiply(double_divide(X2,inverse(X1)),X2))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1436,f589])).
% 9.78/1.62 fof(f1725,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1436,f1714])).
% 9.78/1.62 fof(f1727,plain,(
% 9.78/1.62 ![X0,X1]: (inverse(inverse(X0))=double_divide(X1,double_divide(X1,X0)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1709,f1490])).
% 9.78/1.62 fof(f1732,plain,(
% 9.78/1.62 ![X0,X1]: (X0=double_divide(X1,double_divide(X1,X0)))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1469,f1727])).
% 9.78/1.62 fof(f1733,plain,(
% 9.78/1.62 ![X0,X1]: (X0=double_divide(double_divide(X1,X0),X1))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1563,f1732])).
% 9.78/1.62 fof(f1748,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1733,f1558])).
% 9.78/1.62 fof(f1763,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1558,f1725])).
% 9.78/1.62 fof(f1764,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(double_divide(X0,X1),X2),multiply(X1,X0))=X2)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1490,f1725])).
% 9.78/1.62 fof(f1835,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(multiply(multiply(multiply(double_divide(X0,inverse(X1)),inverse(X2)),double_divide(X1,multiply(multiply(multiply(multiply(multiply(multiply(X3,inverse(X4)),X5),X6),double_divide(X5,X3)),inverse(X0)),X4))),inverse(X7)),X6),X2)=inverse(X7))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1763,f1693])).
% 9.78/1.62 fof(f1841,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(X1,inverse(X0)))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1763,f1450])).
% 9.78/1.62 fof(f1948,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(multiply(multiply(double_divide(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X2,multiply(multiply(multiply(multiply(multiply(multiply(X3,inverse(X4)),X5),X6),double_divide(X5,X3)),inverse(X1)),X4))),inverse(X7)),X6),X0)=inverse(X7))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1841,f1835])).
% 9.78/1.62 fof(f2047,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (multiply(multiply(double_divide(X0,inverse(multiply(multiply(X1,multiply(X2,X3)),X4))),double_divide(X4,X1)),double_divide(X3,X2))=inverse(X0))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f1841,f62])).
% 9.78/1.62 fof(f2141,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,inverse(multiply(double_divide(X1,inverse(double_divide(X2,inverse(X3)))),double_divide(X3,multiply(multiply(multiply(multiply(multiply(multiply(X4,inverse(X5)),X6),X7),double_divide(X6,X4)),inverse(X2)),X5))))),X7),X1)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1841,f1948])).
% 9.78/1.62 fof(f2142,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,double_divide(double_divide(X1,multiply(multiply(multiply(multiply(multiply(multiply(X2,inverse(X3)),X4),X5),double_divide(X4,X2)),inverse(X6)),X3)),double_divide(X7,inverse(double_divide(X6,inverse(X1)))))),X5),X7)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1490,f2141])).
% 9.78/1.62 fof(f2143,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,double_divide(double_divide(X1,multiply(double_divide(X2,inverse(multiply(multiply(multiply(multiply(X3,inverse(X4)),X5),X6),double_divide(X5,X3)))),X4)),double_divide(X7,inverse(double_divide(X2,inverse(X1)))))),X6),X7)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1841,f2142])).
% 9.78/1.62 fof(f2144,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,double_divide(double_divide(X1,multiply(double_divide(X2,double_divide(double_divide(X3,X4),multiply(multiply(multiply(X4,inverse(X5)),X3),X6))),X5)),double_divide(X7,inverse(double_divide(X2,inverse(X1)))))),X6),X7)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1490,f2143])).
% 9.78/1.62 fof(f2145,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,double_divide(double_divide(X1,multiply(double_divide(X2,double_divide(double_divide(X3,X4),multiply(multiply(double_divide(X5,inverse(X4)),X3),X6))),X5)),double_divide(X7,inverse(double_divide(X2,inverse(X1)))))),X6),X7)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1841,f2144])).
% 9.78/1.62 fof(f2146,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,double_divide(double_divide(X1,multiply(double_divide(X2,double_divide(double_divide(X3,X4),multiply(multiply(double_divide(X5,inverse(X4)),X3),X6))),X5)),double_divide(X7,multiply(inverse(X1),X2)))),X6),X7)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f5,f2145])).
% 9.78/1.62 fof(f2147,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(double_divide(X0,double_divide(double_divide(X1,multiply(double_divide(X2,double_divide(double_divide(X3,X4),multiply(multiply(double_divide(X5,inverse(X4)),X3),X6))),X5)),double_divide(X7,double_divide(X1,inverse(X2))))),X6),X7)=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1763,f2146])).
% 9.78/1.62 fof(f2421,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (multiply(multiply(double_divide(X0,double_divide(X1,multiply(X2,multiply(X3,X4)))),double_divide(X1,X2)),double_divide(X4,X3))=inverse(X0))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1490,f2047])).
% 9.78/1.62 fof(f2676,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f5,f1748])).
% 9.78/1.62 fof(f2682,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X0,X1)))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1748,f1469])).
% 9.78/1.62 fof(f2725,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(inverse(X0),X1)=inverse(double_divide(X0,inverse(X1))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1763,f2682])).
% 9.78/1.62 fof(f2785,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(X0,inverse(X1)))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1748,f2725])).
% 9.78/1.62 fof(f2851,plain,(
% 9.78/1.62 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(inverse(X1),X0))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f2676,f2785])).
% 9.78/1.62 fof(f3019,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,double_divide(X1,X2)),double_divide(X3,X4))=inverse(double_divide(X0,double_divide(X1,multiply(X2,multiply(X4,X3))))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1563,f2421])).
% 9.78/1.62 fof(f3078,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,double_divide(X1,X2)),double_divide(X3,X4))=multiply(X0,double_divide(X1,multiply(X2,multiply(X4,X3)))))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1748,f3019])).
% 9.78/1.62 fof(f3183,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(X0,X1),X2)=inverse(double_divide(X0,double_divide(double_divide(X3,multiply(double_divide(X4,double_divide(double_divide(X5,X6),multiply(multiply(double_divide(X7,inverse(X6)),X5),X1))),X7)),double_divide(X2,double_divide(X3,inverse(X4)))))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f1563,f2147])).
% 9.78/1.62 fof(f3274,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(multiply(X0,X1),X2)=multiply(X0,double_divide(double_divide(X3,multiply(double_divide(X4,double_divide(double_divide(X5,X6),multiply(multiply(double_divide(X7,inverse(X6)),X5),X1))),X7)),double_divide(X2,double_divide(X3,inverse(X4))))))),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1748,f3183])).
% 9.78/1.62 fof(f3391,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(double_divide(X1,X0),X2))=X2)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f2676,f1764])).
% 9.78/1.62 fof(f3399,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(X0,double_divide(X1,X2)),multiply(X2,X1))=X0)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f2676,f1764])).
% 9.78/1.62 fof(f3491,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,double_divide(X1,X0)))=X2)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f2676,f3391])).
% 9.78/1.62 fof(f3898,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(X0,double_divide(X1,inverse(X2))),double_divide(inverse(X1),X2))=X0)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f2851,f3399])).
% 9.78/1.62 fof(f3970,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(X0,double_divide(X1,multiply(inverse(X2),multiply(X2,inverse(X1)))))=X0)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f3078,f3898])).
% 9.78/1.62 fof(f3971,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(X0,double_divide(X1,double_divide(inverse(multiply(X2,inverse(X1))),X2)))=X0)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f2851,f3970])).
% 9.78/1.62 fof(f3972,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(X0,double_divide(X1,double_divide(double_divide(X2,inverse(X1)),X2)))=X0)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f2682,f3971])).
% 9.78/1.62 fof(f3974,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=X0)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f1733,f3972])).
% 9.78/1.62 fof(f4046,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f3974,f3491])).
% 9.78/1.62 fof(f4083,plain,(
% 9.78/1.62 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=X1)),
% 9.78/1.62 inference(forward_demodulation,[status(thm)],[f2851,f4046])).
% 9.78/1.62 fof(f4195,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(X0,X1)=inverse(inverse(double_divide(double_divide(X2,multiply(double_divide(X3,double_divide(double_divide(X4,X5),multiply(multiply(double_divide(X6,inverse(X5)),X4),X0))),X6)),double_divide(X1,double_divide(X2,inverse(X3)))))))),
% 9.78/1.62 inference(paramodulation,[status(thm)],[f4083,f2147])).
% 9.78/1.62 fof(f4234,plain,(
% 9.78/1.62 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 9.78/1.62 inference(backward_demodulation,[status(thm)],[f4238,f3274])).
% 9.78/1.62 fof(f4238,plain,(
% 9.78/1.62 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(X0,X1)=double_divide(double_divide(X2,multiply(double_divide(X3,double_divide(double_divide(X4,X5),multiply(multiply(double_divide(X6,inverse(X5)),X4),X0))),X6)),double_divide(X1,double_divide(X2,inverse(X3)))))),
% 9.78/1.65 inference(forward_demodulation,[status(thm)],[f1469,f4195])).
% 9.78/1.65 fof(f4271,plain,(
% 9.78/1.65 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 9.78/1.65 inference(backward_demodulation,[status(thm)],[f4234,f6])).
% 9.78/1.65 fof(f4522,plain,(
% 9.78/1.65 $false),
% 9.78/1.65 inference(trivial_equality_resolution,[status(thm)],[f4271])).
% 9.78/1.65 % SZS output end CNFRefutation for theBenchmark.p
% 14.88/2.88 % Elapsed time: 2.309022 seconds
% 14.88/2.88 % CPU time: 4.749089 seconds
% 14.88/2.88 % Total memory used: 65.259 MB
% 14.88/2.88 % Net memory used: 60.639 MB
%------------------------------------------------------------------------------