%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP427-1 : 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 : n009.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 12:36:37 PM UTC 2026
% Result : Unsatisfiable 92.17s 12.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP427-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 20:12:57 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 92.17/12.09 % Refutation found
% 92.17/12.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 92.17/12.09 % SZS output start CNFRefutation for theBenchmark
% 92.17/12.09 fof(f1,axiom,(
% 92.17/12.09 (![A,B,C,D]: (multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C ))),
% 92.17/12.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.17/12.09 fof(f2,negated_conjecture,(
% 92.17/12.09 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 92.17/12.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 92.17/12.09 fof(f3,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3)))))=X2)),
% 92.17/12.09 inference(cnf_transformation,[status(thm)],[f1])).
% 92.17/12.09 fof(f4,plain,(
% 92.17/12.09 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 92.17/12.09 inference(cnf_transformation,[status(thm)],[f2])).
% 92.17/12.09 fof(f10,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X0),X4)))),X1))),X5),inverse(multiply(X3,X5)))))))))=X4)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f3,f3])).
% 92.17/12.09 fof(f11,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))=inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),X2))),X5),inverse(multiply(X4,X5)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f3,f3])).
% 92.17/12.09 fof(f13,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X0),X6)))),X1)))),X3))),X7),inverse(multiply(X5,X7)))))))))))))=X6)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f3,f10])).
% 92.17/12.09 fof(f14,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(X6,inverse(multiply(multiply(inverse(multiply(inverse(X7),multiply(inverse(inverse(multiply(inverse(X6),multiply(inverse(inverse(multiply(inverse(X4),multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X0),X8)))),X1)))),X3)))),X5))),X9),inverse(multiply(X7,X9)))))))))))))))))=X8)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f10,f10])).
% 92.17/12.09 fof(f15,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(X0,inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(inverse(multiply(inverse(X2),multiply(inverse(X0),X3))))),X4))),X5),inverse(multiply(X1,X5)))),inverse(multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X6),X4)),X7),inverse(multiply(X6,X7)))))))))=X3)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f3,f10])).
% 92.17/12.09 fof(f43,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (X0=inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(X2),X0)))),X3),inverse(multiply(X1,X3)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f3,f11])).
% 92.17/12.09 fof(f98,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))))=X2)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f11,f3])).
% 92.17/12.09 fof(f230,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6]: (X0=inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X4)),multiply(inverse(X4),X2)))),X5),inverse(multiply(X3,X5)))),X0)))),X6),inverse(multiply(X1,X6)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f43,f43])).
% 92.17/12.09 fof(f253,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X0,X1))=multiply(inverse(inverse(X2)),multiply(inverse(X2),X1)))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f43,f98])).
% 92.17/12.09 fof(f282,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (X0=inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X0)))),X3),inverse(multiply(X1,X3)))))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f43,f230])).
% 92.17/12.09 fof(f299,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X0,X1))=multiply(inverse(X2),multiply(X2,X1)))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f253,f253])).
% 92.17/12.09 fof(f350,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X3),inverse(multiply(inverse(X0),X3)))))=X2)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f253,f3])).
% 92.17/12.09 fof(f407,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X0),X4)),X2))))))=X4)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f299,f3])).
% 92.17/12.09 fof(f494,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X6),multiply(inverse(inverse(multiply(inverse(X5),multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X7),multiply(X7,X8)))),X1)))),X2)))),X4))),X9),inverse(multiply(X6,X9)))))))))))))))))=X8)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f13,f350])).
% 92.17/12.09 fof(f508,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),multiply(X0,X3)),inverse(multiply(inverse(X4),multiply(X4,X3))))))=X2)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f299,f350])).
% 92.17/12.09 fof(f553,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (X0=inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,multiply(X2,X0)))),X3),inverse(multiply(inverse(X2),X3)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f299,f282])).
% 92.17/12.09 fof(f697,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6]: (X0=inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,multiply(X4,X2)))),X5),inverse(multiply(inverse(X4),X5))),X0)))),X6),inverse(multiply(X1,X6)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f553,f282])).
% 92.17/12.09 fof(f812,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))))))=X1)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f98,f508])).
% 92.17/12.09 fof(f896,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(X2))))=X1)),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f98,f812])).
% 92.17/12.09 fof(f910,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X3),inverse(multiply(X2,X3)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f98,f896])).
% 92.17/12.09 fof(f918,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2))),inverse(multiply(X3,inverse(X3))))=multiply(X0,X2))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f299,f896])).
% 92.17/12.09 fof(f931,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,inverse(multiply(X2,inverse(X2))))),inverse(multiply(inverse(X0),X3)))))=X3)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f896,f407])).
% 92.17/12.09 fof(f942,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(X0,inverse(multiply(X1,inverse(X1)))))=multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f896,f299])).
% 92.17/12.09 fof(f958,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2))),inverse(multiply(X3,inverse(X3))))=multiply(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,multiply(X5,X0)))),X6),inverse(multiply(inverse(X5),X6))),X2))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f553,f918])).
% 92.17/12.09 fof(f1015,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(inverse(multiply(X1,inverse(X1)))))=inverse(inverse(X0)))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f896,f931])).
% 92.17/12.09 fof(f1121,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),multiply(X1,X2))))),inverse(multiply(inverse(X0),inverse(inverse(multiply(X3,inverse(X3)))))))))=X2)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f1015,f350])).
% 92.17/12.09 fof(f1135,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2)))))))=X1)),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f1015,f896])).
% 92.17/12.09 fof(f1136,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(multiply(inverse(inverse(X0)),multiply(inverse(X1),inverse(inverse(X1)))),inverse(multiply(X2,inverse(X2))))=multiply(X0,inverse(inverse(multiply(X3,inverse(X3))))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f1015,f918])).
% 92.17/12.09 fof(f1162,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X1),multiply(X1,X2))))),inverse(inverse(inverse(inverse(X0)))))))=X2)),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f1015,f1121])).
% 92.17/12.09 fof(f1168,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(multiply(inverse(inverse(X0)),multiply(inverse(X1),inverse(inverse(X1)))),inverse(multiply(X2,inverse(X2))))=inverse(inverse(X0)))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f1015,f1136])).
% 92.17/12.09 fof(f1262,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X6),multiply(inverse(inverse(multiply(inverse(X5),multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(X7)),X1)))),X2)))),X4))),X8),inverse(multiply(X6,X8)))))))))))))))))=inverse(multiply(multiply(inverse(multiply(inverse(X9),X7)),X10),inverse(multiply(X9,X10)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f98,f14])).
% 92.17/12.09 fof(f1531,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))=inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(inverse(X4),multiply(inverse(X0),X1))))),X5))),X6),inverse(multiply(X3,X6)))),inverse(multiply(X4,inverse(multiply(multiply(inverse(multiply(inverse(X7),X5)),X8),inverse(multiply(X7,X8)))))))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f15,f896])).
% 92.17/12.09 fof(f1569,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(multiply(inverse(inverse(X0)),inverse(inverse(inverse(multiply(X1,inverse(X1)))))),inverse(multiply(X2,inverse(X2))))=inverse(inverse(X0)))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f1015,f1168])).
% 92.17/12.09 fof(f1688,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1)))))),inverse(multiply(X2,inverse(X2))))=inverse(inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(X4,X0)))),X5),inverse(multiply(X3,X5))))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f282,f1569])).
% 92.17/12.09 fof(f1704,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1)))))))=inverse(inverse(X0)))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f1569,f1015])).
% 92.17/12.09 fof(f1731,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1)))))),inverse(multiply(X2,inverse(X2))))=inverse(X0))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f282,f1688])).
% 92.17/12.09 fof(f1737,plain,(
% 92.17/12.09 ![X0,X1]: (inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))=X1)),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1704,f1135])).
% 92.17/12.09 fof(f1755,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(inverse(inverse(X0)))))))=X1)),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1737,f1162])).
% 92.17/12.09 fof(f1758,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X6),multiply(inverse(inverse(multiply(inverse(X5),multiply(inverse(inverse(multiply(inverse(X3),multiply(X7,X1)))),X2)))),X4))),X8),inverse(multiply(X6,X8)))))))))))))))))=X7)),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1737,f494])).
% 92.17/12.09 fof(f1765,plain,(
% 92.17/12.09 ![X0,X1,X2]: (inverse(inverse(X0))=inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),X2),inverse(multiply(X1,X2)))))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1758,f1262])).
% 92.17/12.09 fof(f1773,plain,(
% 92.17/12.09 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))=inverse(inverse(multiply(inverse(inverse(X0)),X2))))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1765,f11])).
% 92.17/12.09 fof(f1775,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(inverse(multiply(inverse(X0),X1))))=X1)),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1765,f3])).
% 92.17/12.09 fof(f1776,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(inverse(X0),multiply(X0,inverse(inverse(X1))))=X1)),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1765,f98])).
% 92.17/12.09 fof(f1889,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))=inverse(multiply(inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),multiply(inverse(X0),X1))))),X4))),inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X5),X4)),X6),inverse(multiply(X5,X6)))))))))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1765,f1531])).
% 92.17/12.09 fof(f2278,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4]: (X0=inverse(inverse(multiply(X1,multiply(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,multiply(X3,X1)))),X4),inverse(multiply(inverse(X3),X4))),X0)))))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1765,f697])).
% 92.17/12.09 fof(f2345,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=inverse(inverse(X0)))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f1765,f910])).
% 92.17/12.09 fof(f2437,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(inverse(X1)))=inverse(inverse(multiply(inverse(inverse(X0)),X1))))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f1765,f1773])).
% 92.17/12.09 fof(f2869,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))=inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X0),X1))),inverse(inverse(X4))),inverse(multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X5),X4)),X6),inverse(multiply(X5,X6)))))))))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f2437,f1889])).
% 92.17/12.09 fof(f2870,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))=inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X0),X1))),inverse(inverse(X4))),inverse(multiply(X3,inverse(inverse(X4)))))))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f1765,f2869])).
% 92.17/12.09 fof(f2895,plain,(
% 92.17/12.09 ![X0,X1]: (inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1))))))))=inverse(X0))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f2907,f1731])).
% 92.17/12.09 fof(f2897,plain,(
% 92.17/12.09 ![X0,X1,X2,X3,X4,X5]: (inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))))=multiply(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,multiply(X4,X0)))),X5),inverse(multiply(inverse(X4),X5))),X2))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f2907,f958])).
% 92.17/12.09 fof(f2907,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))=inverse(inverse(multiply(inverse(X0),X1))))),
% 92.17/12.09 inference(forward_demodulation,[status(thm)],[f1765,f2870])).
% 92.17/12.09 fof(f4714,plain,(
% 92.17/12.09 ![X0,X1,X2]: (multiply(inverse(X0),inverse(inverse(X0)))=multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f2345,f942])).
% 92.17/12.09 fof(f5289,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(inverse(inverse(multiply(X1,inverse(X1))))))=inverse(inverse(X0)))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f2345,f2345])).
% 92.17/12.09 fof(f5309,plain,(
% 92.17/12.09 ![X0]: (inverse(inverse(inverse(inverse(inverse(X0)))))=inverse(X0))),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f5289,f2895])).
% 92.17/12.09 fof(f5374,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(inverse(X0),multiply(X0,inverse(inverse(X1))))=inverse(inverse(inverse(inverse(X1)))))),
% 92.17/12.09 inference(paramodulation,[status(thm)],[f5309,f1776])).
% 92.17/12.09 fof(f5387,plain,(
% 92.17/12.09 ![X0,X1]: (multiply(X0,inverse(multiply(inverse(X1),X0)))=X1)),
% 92.17/12.09 inference(backward_demodulation,[status(thm)],[f5389,f1755])).
% 92.17/12.09 fof(f5389,plain,(
% 92.17/12.09 ![X0]: (X0=inverse(inverse(inverse(inverse(X0)))))),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f1776,f5374])).
% 92.99/12.11 fof(f5435,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(inverse(inverse(X1)))))=X1)),
% 92.99/12.11 inference(paramodulation,[status(thm)],[f2345,f5387])).
% 92.99/12.11 fof(f5446,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(inverse(multiply(X0,inverse(X0))),X1)=X1)),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f5389,f5435])).
% 92.99/12.11 fof(f5492,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),X1)=X1)),
% 92.99/12.11 inference(paramodulation,[status(thm)],[f1015,f5446])).
% 92.99/12.11 fof(f5494,plain,(
% 92.99/12.11 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X0,X1))=multiply(multiply(X2,inverse(X2)),X1))),
% 92.99/12.11 inference(paramodulation,[status(thm)],[f5446,f299])).
% 92.99/12.11 fof(f5506,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=X1)),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f5389,f5492])).
% 92.99/12.11 fof(f5516,plain,(
% 92.99/12.11 ![X0,X1,X2,X3,X4]: (inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))))=multiply(multiply(multiply(inverse(multiply(X3,X0)),X4),inverse(multiply(inverse(X3),X4))),X2))),
% 92.99/12.11 inference(backward_demodulation,[status(thm)],[f5604,f2897])).
% 92.99/12.11 fof(f5520,plain,(
% 92.99/12.11 ![X0,X1,X2,X3]: (X0=inverse(inverse(multiply(X1,multiply(multiply(multiply(inverse(multiply(X2,X1)),X3),inverse(multiply(inverse(X2),X3))),X0)))))),
% 92.99/12.11 inference(backward_demodulation,[status(thm)],[f5604,f2278])).
% 92.99/12.11 fof(f5553,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(inverse(X0),inverse(inverse(X0)))=multiply(inverse(X1),X1))),
% 92.99/12.11 inference(backward_demodulation,[status(thm)],[f5604,f4714])).
% 92.99/12.11 fof(f5604,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f5506,f5494])).
% 92.99/12.11 fof(f5660,plain,(
% 92.99/12.11 ![X0,X1,X2,X3]: (inverse(inverse(multiply(inverse(X0),X1)))=multiply(multiply(multiply(inverse(multiply(X2,X0)),X3),inverse(multiply(inverse(X2),X3))),X1))),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f5604,f5516])).
% 92.99/12.11 fof(f5665,plain,(
% 92.99/12.11 ![X0,X1]: (X0=inverse(inverse(multiply(X1,inverse(inverse(multiply(inverse(X1),X0)))))))),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f5660,f5520])).
% 92.99/12.11 fof(f5698,plain,(
% 92.99/12.11 ![X0]: (X0=inverse(inverse(X0)))),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f1775,f5665])).
% 92.99/12.11 fof(f5778,plain,(
% 92.99/12.11 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 92.99/12.11 inference(forward_demodulation,[status(thm)],[f5698,f5553])).
% 92.99/12.11 fof(f5779,plain,(
% 92.99/12.11 $false),
% 92.99/12.11 inference(backward_subsumption_resolution,[status(thm)],[f4,f5778])).
% 92.99/12.11 % SZS output end CNFRefutation for theBenchmark.p
% 4.90/15.32 % Elapsed time: 14.966451 seconds
% 4.90/15.32 % CPU time: 116.958229 seconds
% 4.90/15.32 % Total memory used: 47.366 GB
% 4.90/15.32 % Net memory used: 47.347 GB
%------------------------------------------------------------------------------