%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP413-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:36:35 PM UTC 2026
% Result : Unsatisfiable 11.17s 1.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP413-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:12:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 11.17/1.84 % Refutation found
% 11.17/1.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.17/1.84 % SZS output start CNFRefutation for theBenchmark
% 11.17/1.84 fof(f1,axiom,(
% 11.17/1.84 (![A,B,C]: (multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),C))),B))) = C ))),
% 11.17/1.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.17/1.84 fof(f2,negated_conjecture,(
% 11.17/1.84 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 11.17/1.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.17/1.84 fof(f3,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))=X2)),
% 11.17/1.84 inference(cnf_transformation,[status(thm)],[f1])).
% 11.17/1.84 fof(f4,plain,(
% 11.17/1.84 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 11.17/1.84 inference(cnf_transformation,[status(thm)],[f2])).
% 11.17/1.84 fof(f5,definition,(
% 11.17/1.84 sF2_fnc=inverse(b2)),
% 11.17/1.84 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 11.17/1.84 fof(f6,definition,(
% 11.17/1.84 sF1_fnc=multiply(sF2_fnc,b2)),
% 11.17/1.84 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 11.17/1.84 fof(f7,definition,(
% 11.17/1.84 sF0_fnc=multiply(sF1_fnc,a2)),
% 11.17/1.84 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 11.17/1.84 fof(f8,plain,(
% 11.17/1.84 ~sF0_fnc=a2),
% 11.17/1.84 inference(definition_folding,[],[f4,f7,f6,f5])).
% 11.17/1.84 fof(f9,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(X0,inverse(multiply(multiply(multiply(sF2_fnc,b2),inverse(multiply(inverse(multiply(X0,inverse(b2))),X1))),b2)))=X1)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f5,f3])).
% 11.17/1.84 fof(f10,plain,(
% 11.17/1.84 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))=inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f3,f3])).
% 11.17/1.84 fof(f11,plain,(
% 11.17/1.84 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))))=X3)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f3,f3])).
% 11.17/1.84 fof(f13,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,inverse(b2))),X1))),b2)))=X1)),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f6,f9])).
% 11.17/1.84 fof(f14,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),X1))),b2)))=X1)),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 11.17/1.84 fof(f17,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(X1)),b2)))=inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(inverse(multiply(X0,sF2_fnc)),sF2_fnc)),X1))),b2)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f14,f14])).
% 11.17/1.84 fof(f23,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(X1)),b2))))=X1)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f17,f14])).
% 11.17/1.84 fof(f31,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(multiply(X1,b2))))=multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(sF1_fnc,sF2_fnc)),X1))),b2))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f14,f23])).
% 11.17/1.84 fof(f34,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(multiply(multiply(sF1_fnc,sF2_fnc),b2))))=b2)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f5,f23])).
% 11.17/1.84 fof(f40,plain,(
% 11.17/1.84 b2=multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(sF1_fnc,sF2_fnc)),multiply(sF1_fnc,sF2_fnc)))),b2)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f34,f31])).
% 11.17/1.84 fof(f41,plain,(
% 11.17/1.84 ![X0]: (X0=multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(sF1_fnc,sF2_fnc)),multiply(sF1_fnc,inverse(X0))))),b2))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f23,f31])).
% 11.17/1.84 fof(f57,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(multiply(X1,b2))))))=X1)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f31,f14])).
% 11.17/1.84 fof(f91,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(b2)))=multiply(inverse(multiply(sF1_fnc,sF2_fnc)),multiply(sF1_fnc,sF2_fnc)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f40,f23])).
% 11.17/1.84 fof(f94,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,sF2_fnc))=multiply(inverse(multiply(sF1_fnc,sF2_fnc)),multiply(sF1_fnc,sF2_fnc)))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f5,f91])).
% 11.17/1.84 fof(f110,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(X1)))=multiply(inverse(multiply(sF1_fnc,sF2_fnc)),multiply(sF1_fnc,inverse(X1))))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f41,f23])).
% 11.17/1.84 fof(f118,plain,(
% 11.17/1.84 ![X0]: (b2=multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,sF2_fnc)))),b2))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f94,f40])).
% 11.17/1.84 fof(f191,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))))=X2)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f10,f3])).
% 11.17/1.84 fof(f225,plain,(
% 11.17/1.84 ![X0,X1,X2,X3,X4]: (inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X1,inverse(X2))),X3))),X2)))),inverse(X0))),multiply(inverse(X3),X4)))),X0))=X4)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f10,f11])).
% 11.17/1.84 fof(f315,plain,(
% 11.17/1.84 ![X0,X1,X2]: (inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(X1),inverse(X0))),multiply(inverse(X1),X2)))),X0))=X2)),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f3,f225])).
% 11.17/1.84 fof(f618,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(X1)))=multiply(inverse(multiply(X2,sF2_fnc)),multiply(X2,inverse(X1))))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f110,f110])).
% 11.17/1.84 fof(f642,plain,(
% 11.17/1.84 ![X0,X1]: (X0=multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X1,sF2_fnc)),multiply(X1,inverse(X0))))),b2))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f110,f41])).
% 11.17/1.84 fof(f760,plain,(
% 11.17/1.84 ![X0,X1,X2,X3,X4]: (inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(X3),inverse(X2))),multiply(inverse(X3),X1)))),X2)),X4)))),X0))=X4)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f315,f315])).
% 11.17/1.84 fof(f811,plain,(
% 11.17/1.84 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(X2),inverse(X1))),multiply(inverse(X2),X3)))),X1))))=multiply(inverse(multiply(X4,sF2_fnc)),multiply(X4,X3)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f315,f618])).
% 11.17/1.84 fof(f838,plain,(
% 11.17/1.84 ![X0,X1,X2]: (inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0))=X2)),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f315,f760])).
% 11.17/1.84 fof(f861,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,X1))=multiply(inverse(multiply(X2,sF2_fnc)),multiply(X2,X1)))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f315,f811])).
% 11.17/1.84 fof(f955,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),X1))),b2)))=inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X2,sF2_fnc)),multiply(X2,X1)))),b2)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f861,f17])).
% 11.17/1.84 fof(f997,plain,(
% 11.17/1.84 ![X0,X1]: (X0=inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X1,sF2_fnc)),multiply(X1,X0)))),b2)))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f14,f955])).
% 11.17/1.84 fof(f1426,plain,(
% 11.17/1.84 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,sF2_fnc)),multiply(X1,inverse(multiply(multiply(sF1_fnc,X0),b2))))))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f31,f997])).
% 11.17/1.84 fof(f2171,plain,(
% 11.17/1.84 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))=multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f838,f191])).
% 11.17/1.84 fof(f2295,plain,(
% 11.17/1.84 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,sF2_fnc)),multiply(X4,inverse(multiply(multiply(sF1_fnc,X1),b2))))))),multiply(X3,X2)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f1426,f2171])).
% 11.17/1.84 fof(f2424,plain,(
% 11.17/1.84 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f1426,f2295])).
% 11.17/1.84 fof(f2486,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(sF1_fnc),multiply(sF2_fnc,X0))=multiply(inverse(multiply(X1,b2)),multiply(X1,X0)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f6,f2424])).
% 11.17/1.84 fof(f4252,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(sF1_fnc),multiply(sF2_fnc,b2))=multiply(inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(X1))))),b2)),X1))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f642,f2486])).
% 11.17/1.84 fof(f4253,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(sF1_fnc),multiply(sF2_fnc,b2))=multiply(inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,sF2_fnc)))),b2)),b2))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f118,f2486])).
% 11.17/1.84 fof(f4327,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(sF1_fnc),sF1_fnc)=multiply(inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(X1))))),b2)),X1))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f6,f4252])).
% 11.17/1.84 fof(f4328,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(sF1_fnc),sF1_fnc)=multiply(inverse(X0),X0))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f997,f4327])).
% 11.17/1.84 fof(f4329,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(sF1_fnc),sF1_fnc)=multiply(inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,sF2_fnc)))),b2)),b2))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f6,f4253])).
% 11.17/1.84 fof(f4330,plain,(
% 11.17/1.84 multiply(inverse(sF1_fnc),sF1_fnc)=multiply(sF2_fnc,b2)),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f997,f4329])).
% 11.17/1.84 fof(f4331,plain,(
% 11.17/1.84 multiply(inverse(sF1_fnc),sF1_fnc)=sF1_fnc),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f6,f4330])).
% 11.17/1.84 fof(f4414,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))=X2)),
% 11.17/1.84 inference(backward_demodulation,[status(thm)],[f4415,f3])).
% 11.17/1.84 fof(f4415,plain,(
% 11.17/1.84 ![X0]: (sF1_fnc=multiply(inverse(X0),X0))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f4331,f4328])).
% 11.17/1.84 fof(f4512,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(sF1_fnc)),X1)))=multiply(X0,inverse(X1)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f4415,f4414])).
% 11.17/1.84 fof(f4559,plain,(
% 11.17/1.84 ![X0,X1]: (multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(multiply(multiply(sF1_fnc,inverse(X1)),b2))))=multiply(multiply(sF1_fnc,inverse(sF1_fnc)),X1))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f4512,f23])).
% 11.17/1.84 fof(f4578,plain,(
% 11.17/1.84 ![X0]: (X0=multiply(multiply(sF1_fnc,inverse(sF1_fnc)),X0))),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f23,f4559])).
% 11.17/1.84 fof(f4595,plain,(
% 11.17/1.84 ![X0,X1]: (inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(multiply(sF1_fnc,inverse(sF1_fnc)),inverse(X0))),X1))),X0))=X1)),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f4414,f4578])).
% 11.17/1.84 fof(f4601,plain,(
% 11.17/1.84 ![X0]: (multiply(inverse(sF1_fnc),multiply(sF2_fnc,X0))=multiply(inverse(b2),multiply(multiply(sF1_fnc,inverse(sF1_fnc)),X0)))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f4578,f2486])).
% 11.17/1.84 fof(f4631,plain,(
% 11.17/1.84 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(multiply(sF1_fnc,inverse(sF1_fnc)),X1)),X2))),
% 11.17/1.84 inference(paramodulation,[status(thm)],[f4578,f2424])).
% 11.17/1.84 fof(f4636,plain,(
% 11.17/1.84 ![X0,X1]: (inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(inverse(X0)),X1))),X0))=X1)),
% 11.17/1.84 inference(forward_demodulation,[status(thm)],[f4578,f4595])).
% 11.17/1.85 fof(f4642,plain,(
% 11.17/1.85 ![X0]: (multiply(inverse(sF1_fnc),multiply(sF2_fnc,X0))=multiply(sF2_fnc,multiply(multiply(sF1_fnc,inverse(sF1_fnc)),X0)))),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f5,f4601])).
% 11.17/1.85 fof(f4643,plain,(
% 11.17/1.85 ![X0]: (multiply(inverse(sF1_fnc),multiply(sF2_fnc,X0))=multiply(sF2_fnc,X0))),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f4578,f4642])).
% 11.17/1.85 fof(f4676,plain,(
% 11.17/1.85 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f4578,f4631])).
% 11.17/1.85 fof(f4683,plain,(
% 11.17/1.85 ![X0,X1]: (multiply(inverse(sF1_fnc),X0)=multiply(sF2_fnc,inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(multiply(sF2_fnc,inverse(X1))),X0))),X1))))),
% 11.17/1.85 inference(paramodulation,[status(thm)],[f4414,f4643])).
% 11.17/1.85 fof(f4692,plain,(
% 11.17/1.85 ![X0]: (multiply(inverse(sF1_fnc),X0)=X0)),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f4414,f4683])).
% 11.17/1.85 fof(f4702,plain,(
% 11.17/1.85 ![X0]: (multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,inverse(b2)))))=inverse(sF1_fnc))),
% 11.17/1.85 inference(paramodulation,[status(thm)],[f4692,f57])).
% 11.17/1.85 fof(f4739,plain,(
% 11.17/1.85 ![X0]: (multiply(sF1_fnc,inverse(multiply(inverse(multiply(X0,sF2_fnc)),multiply(X0,sF2_fnc))))=inverse(sF1_fnc))),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f5,f4702])).
% 11.17/1.85 fof(f4740,plain,(
% 11.17/1.85 multiply(sF1_fnc,inverse(sF1_fnc))=inverse(sF1_fnc)),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f4415,f4739])).
% 11.17/1.85 fof(f4933,plain,(
% 11.17/1.85 ![X0]: (multiply(inverse(multiply(sF1_fnc,X0)),sF0_fnc)=multiply(inverse(X0),a2))),
% 11.17/1.85 inference(paramodulation,[status(thm)],[f7,f4676])).
% 11.17/1.85 fof(f5053,plain,(
% 11.17/1.85 multiply(inverse(inverse(sF1_fnc)),sF0_fnc)=multiply(inverse(inverse(sF1_fnc)),a2)),
% 11.17/1.85 inference(paramodulation,[status(thm)],[f4740,f4933])).
% 11.17/1.85 fof(f6340,plain,(
% 11.17/1.85 inverse(multiply(multiply(sF1_fnc,inverse(multiply(inverse(inverse(sF1_fnc)),a2))),sF1_fnc))=sF0_fnc),
% 11.17/1.85 inference(paramodulation,[status(thm)],[f5053,f4636])).
% 11.17/1.85 fof(f6345,plain,(
% 11.17/1.85 a2=sF0_fnc),
% 11.17/1.85 inference(forward_demodulation,[status(thm)],[f4636,f6340])).
% 11.17/1.85 fof(f6346,plain,(
% 11.17/1.85 $false),
% 11.17/1.85 inference(forward_subsumption_resolution,[status(thm)],[f6345,f8])).
% 11.17/1.85 % SZS output end CNFRefutation for theBenchmark.p
% 2.98/1.90 % Elapsed time: 1.523344 seconds
% 2.98/1.90 % CPU time: 11.858257 seconds
% 2.98/1.90 % Total memory used: 330.561 MB
% 2.98/1.90 % Net memory used: 324.533 MB
%------------------------------------------------------------------------------