%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP062-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:35:34 PM UTC 2026
% Result : Unsatisfiable 137.10s 22.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP062-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.48 % Computer : n008.cluster.edu
% 0.10/5.48 % Model : x86_64 x86_64
% 0.10/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.48 % Memory : 8046.5625MB
% 0.10/5.48 % OS : Linux 6.8.0-71-generic
% 0.10/5.48 % CPULimit : 300
% 0.10/5.49 % WCLimit : 300
% 0.10/5.49 % DateTime : Sun Sep 20 19:57:02 UTC 2026
% 0.10/5.49 % CPUTime :
% 0.13/5.50 % Drodi V4.1.1
% 137.10/22.88 % Refutation found
% 137.10/22.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 137.10/22.88 % SZS output start CNFRefutation for theBenchmark
% 137.10/22.88 fof(f1,axiom,(
% 137.10/22.88 (![X,Y,Z,U]: (inverse(multiply(X,multiply(Y,multiply(multiply(Z,inverse(Z)),inverse(multiply(U,multiply(X,Y))))))) = U ))),
% 137.10/22.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.10/22.88 fof(f2,negated_conjecture,(
% 137.10/22.88 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 137.10/22.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 137.10/22.88 fof(f3,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))))=X3)),
% 137.10/22.88 inference(cnf_transformation,[status(thm)],[f1])).
% 137.10/22.88 fof(f4,plain,(
% 137.10/22.88 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 137.10/22.88 inference(cnf_transformation,[status(thm)],[f2])).
% 137.10/22.88 fof(f5,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5,X6]: (inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,multiply(X0,X1)))))))=X6)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f3,f3])).
% 137.10/22.88 fof(f6,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4]: (inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(multiply(X4,inverse(X4)),X2))))=X3)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f3,f3])).
% 137.10/22.88 fof(f9,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5,X6]: (inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5))))=multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(X3,X5)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f6,f6])).
% 137.10/22.88 fof(f10,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X1),multiply(multiply(X5,inverse(X5)),X2))))=X3)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f3,f6])).
% 137.10/22.88 fof(f90,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (X0=multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,X0))),multiply(X2,X3)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f10,f9])).
% 137.10/22.88 fof(f173,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(X0,inverse(X0)),X1)=multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X1,X3)))),multiply(multiply(X6,inverse(X6)),X5))))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f10,f90])).
% 137.10/22.88 fof(f205,plain,(
% 137.10/22.88 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),X1)=multiply(multiply(X2,inverse(X2)),X1))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f6,f173])).
% 137.10/22.88 fof(f280,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5,X6,X7]: (inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(multiply(X6,inverse(X6)),multiply(X0,X1)))))))=multiply(X7,inverse(X7)))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f205,f5])).
% 137.10/22.88 fof(f357,plain,(
% 137.10/22.88 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f5,f280])).
% 137.10/22.88 fof(f374,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3)=multiply(X4,inverse(X4)))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f3,f357])).
% 137.10/22.88 fof(f414,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (X0=multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),X0))),multiply(X3,inverse(X3))))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f357,f90])).
% 137.10/22.88 fof(f415,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (inverse(X0)=multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,inverse(X3)))),multiply(X2,X0)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f357,f90])).
% 137.10/22.88 fof(f1183,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (inverse(multiply(inverse(X0),multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(inverse(X3),X1)))))))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f414,f6])).
% 137.10/22.88 fof(f1184,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(X0,multiply(inverse(X0),X1)))=inverse(multiply(X2,multiply(inverse(X2),X1))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f414,f3])).
% 137.10/22.88 fof(f1222,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,inverse(X1))))=inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X0))))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f357,f1184])).
% 137.10/22.88 fof(f4186,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(inverse(multiply(X0,multiply(X1,inverse(X1)))),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2)))))))=multiply(X5,multiply(inverse(X5),inverse(inverse(X0)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f1222,f1183])).
% 137.10/22.88 fof(f4187,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2)))))))=multiply(X5,multiply(inverse(X5),X1)))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f1184,f1183])).
% 137.10/22.88 fof(f4209,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),X2)))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f414,f1183])).
% 137.10/22.88 fof(f4393,plain,(
% 137.10/22.88 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X1)))=multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f1183,f4186])).
% 137.10/22.88 fof(f4394,plain,(
% 137.10/22.88 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X2,multiply(inverse(X2),X1)))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f1183,f4187])).
% 137.10/22.88 fof(f4405,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(inverse(X1),X2)))=multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X0)),X2))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f4394,f4394])).
% 137.10/22.88 fof(f6624,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (X0=multiply(multiply(X1,inverse(X1)),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),multiply(X3,X0))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f4209,f90])).
% 137.10/22.88 fof(f8528,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(inverse(X1),X2)))=multiply(X0,multiply(X3,multiply(inverse(X3),X2))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f4405,f4405])).
% 137.10/22.88 fof(f19753,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,multiply(inverse(X4),X5)),multiply(X1,X2)))))))),X5)))=multiply(X6,inverse(X6)))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f4405,f374])).
% 137.10/22.88 fof(f19758,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2))))))))))=multiply(X5,inverse(X5)))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f4393,f374])).
% 137.10/22.88 fof(f20441,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (multiply(X0,multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)))=multiply(X3,inverse(X3)))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f3,f19753])).
% 137.10/22.88 fof(f20442,plain,(
% 137.10/22.88 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))))=multiply(X2,inverse(X2)))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f3,f19758])).
% 137.10/22.88 fof(f20803,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4]: (multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))=multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,inverse(X4)))),multiply(X3,X0)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f20442,f90])).
% 137.10/22.88 fof(f21089,plain,(
% 137.10/22.88 ![X0,X1]: (multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))=inverse(X0))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f415,f20803])).
% 137.10/22.88 fof(f21091,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f4209,f21089])).
% 137.10/22.88 fof(f21190,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))))))))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f21089,f4209])).
% 137.10/22.88 fof(f21266,plain,(
% 137.10/22.88 ![X0,X1]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=X0)),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f4209,f21091])).
% 137.10/22.88 fof(f21303,plain,(
% 137.10/22.88 ![X0,X1]: (inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))=X0)),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f21089,f21190])).
% 137.10/22.88 fof(f21395,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))))))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f21266,f1183])).
% 137.10/22.88 fof(f21665,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,inverse(X2)))))=X0)),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f21266,f21395])).
% 137.10/22.88 fof(f24397,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(inverse(X0),multiply(X1,multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2)))))))))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f8528,f21665])).
% 137.10/22.88 fof(f29954,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4,X5]: (multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))=multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X5,inverse(X5)))),multiply(X4,X0)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f20441,f90])).
% 137.10/22.88 fof(f30375,plain,(
% 137.10/22.88 ![X0,X1,X2]: (multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))=inverse(X0))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f415,f29954])).
% 137.10/22.88 fof(f30387,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (multiply(X0,multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))=inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X3,inverse(X3))))))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f21303,f30375])).
% 137.10/22.88 fof(f30729,plain,(
% 137.10/22.88 ![X0,X1,X2]: (multiply(X0,multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))=X0)),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f21303,f30387])).
% 137.10/22.88 fof(f48945,plain,(
% 137.10/22.88 ![X0,X1,X2,X3]: (inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))=multiply(multiply(X2,inverse(X2)),multiply(X0,multiply(X3,inverse(X3)))))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f24397,f415])).
% 137.10/22.88 fof(f49306,plain,(
% 137.10/22.88 ![X0,X1,X2]: (X0=multiply(multiply(X1,inverse(X1)),multiply(X0,multiply(X2,inverse(X2)))))),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f21303,f48945])).
% 137.10/22.88 fof(f49307,plain,(
% 137.10/22.88 ![X0,X1]: (inverse(inverse(inverse(multiply(X0,multiply(inverse(X0),X1)))))=inverse(X1))),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f6624,f49306])).
% 137.10/22.88 fof(f49932,plain,(
% 137.10/22.88 ![X0,X1]: (inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))=X0)),
% 137.10/22.88 inference(backward_demodulation,[status(thm)],[f49307,f4209])).
% 137.10/22.88 fof(f50486,plain,(
% 137.10/22.88 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f49932,f30729])).
% 137.10/22.88 fof(f50841,plain,(
% 137.10/22.88 ![X0,X1]: (inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))))=X0)),
% 137.10/22.88 inference(backward_demodulation,[status(thm)],[f50486,f21665])).
% 137.10/22.88 fof(f50844,plain,(
% 137.10/22.88 ![X0,X1]: (X0=multiply(multiply(X1,inverse(X1)),X0))),
% 137.10/22.88 inference(backward_demodulation,[status(thm)],[f50486,f49306])).
% 137.10/22.88 fof(f51417,plain,(
% 137.10/22.88 ![X0]: (inverse(inverse(X0))=X0)),
% 137.10/22.88 inference(forward_demodulation,[status(thm)],[f21266,f50841])).
% 137.10/22.88 fof(f51605,plain,(
% 137.10/22.88 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 137.10/22.88 inference(paramodulation,[status(thm)],[f51417,f50486])).
% 137.10/22.88 fof(f54091,plain,(
% 137.10/22.88 ![X0,X1,X2,X3,X4]: (inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(X4,inverse(X4)),X1))))=X2)),
% 137.10/22.88 inference(backward_demodulation,[status(thm)],[f50844,f10])).
% 137.10/22.88 fof(f54093,plain,(
% 137.10/22.88 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))))=X2)),
% 137.10/22.88 inference(backward_demodulation,[status(thm)],[f50844,f3])).
% 133.64/22.97 fof(f54107,plain,(
% 133.64/22.97 ![X0,X1]: (X0=multiply(inverse(multiply(X1,inverse(X1))),X0))),
% 133.64/22.97 inference(paramodulation,[status(thm)],[f50844,f50844])).
% 133.64/22.97 fof(f54113,plain,(
% 133.64/22.97 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 133.64/22.97 inference(paramodulation,[status(thm)],[f51417,f50844])).
% 133.64/22.97 fof(f54249,plain,(
% 133.64/22.97 ![X0,X1,X2,X3]: (inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(multiply(X3,inverse(X3)),X1))))=X2)),
% 133.64/22.97 inference(forward_demodulation,[status(thm)],[f50844,f54091])).
% 133.64/22.97 fof(f54250,plain,(
% 133.64/22.97 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)))=X2)),
% 133.64/22.97 inference(forward_demodulation,[status(thm)],[f50844,f54249])).
% 133.64/22.97 fof(f54324,plain,(
% 133.64/22.97 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 133.64/22.97 inference(backward_demodulation,[status(thm)],[f54113,f4])).
% 133.64/22.97 fof(f54326,plain,(
% 133.64/22.97 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 133.64/22.97 inference(paramodulation,[status(thm)],[f51605,f54113])).
% 133.64/22.97 fof(f54375,plain,(
% 133.64/22.97 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 133.64/22.97 inference(trivial_equality_resolution,[status(thm)],[f54324])).
% 133.64/22.97 fof(f54583,plain,(
% 133.64/22.97 ![X0,X1,X2]: (inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(multiply(X2,inverse(X2))),X0)))))=X1)),
% 133.64/22.97 inference(paramodulation,[status(thm)],[f54107,f54093])).
% 133.64/22.97 fof(f54630,plain,(
% 133.64/22.97 ![X0,X1]: (inverse(multiply(X0,inverse(multiply(X1,X0))))=X1)),
% 133.64/22.97 inference(forward_demodulation,[status(thm)],[f54107,f54583])).
% 133.64/22.97 fof(f54818,plain,(
% 133.64/22.97 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 133.64/22.97 inference(backward_subsumption_resolution,[status(thm)],[f54375,f54326])).
% 133.64/22.97 fof(f56323,plain,(
% 133.64/22.97 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 133.64/22.97 inference(paramodulation,[status(thm)],[f54630,f51417])).
% 133.64/22.97 fof(f60024,plain,(
% 133.64/22.97 ![X0,X1,X2]: (inverse(inverse(multiply(X0,multiply(X1,X2))))=multiply(multiply(X0,X1),X2))),
% 133.64/22.97 inference(paramodulation,[status(thm)],[f54250,f56323])).
% 133.64/22.97 fof(f60148,plain,(
% 133.64/22.97 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 133.64/22.97 inference(forward_demodulation,[status(thm)],[f51417,f60024])).
% 133.64/22.97 fof(f63367,plain,(
% 133.64/22.97 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 133.64/22.97 inference(backward_demodulation,[status(thm)],[f60148,f54818])).
% 133.64/22.97 fof(f63426,plain,(
% 133.64/22.97 $false),
% 133.64/22.97 inference(trivial_equality_resolution,[status(thm)],[f63367])).
% 133.64/22.97 % SZS output end CNFRefutation for theBenchmark.p
% 133.64/22.99 % Elapsed time: 17.490292 seconds
% 133.64/22.99 % CPU time: 138.302935 seconds
% 133.64/22.99 % Total memory used: 1.662 GB
% 133.64/22.99 % Net memory used: 1.657 GB
%------------------------------------------------------------------------------