%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:35:40 PM UTC 2026
% Result : Unsatisfiable 7.49s 1.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP119-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 19:57:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 7.49/1.46 % Refutation found
% 7.49/1.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.49/1.46 % SZS output start CNFRefutation for theBenchmark
% 7.49/1.46 fof(f1,axiom,(
% 7.49/1.46 (![Y,X,Z]: (multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z)))) = X ))),
% 7.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.46 fof(f2,axiom,(
% 7.49/1.46 multiply(identity,identity) = identity ),
% 7.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.46 fof(f3,negated_conjecture,(
% 7.49/1.46 multiply(a,multiply(a,multiply(a,a))) != identity ),
% 7.49/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.49/1.46 fof(f4,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))))=X1)),
% 7.49/1.46 inference(cnf_transformation,[status(thm)],[f1])).
% 7.49/1.46 fof(f5,plain,(
% 7.49/1.46 multiply(identity,identity)=identity),
% 7.49/1.46 inference(cnf_transformation,[status(thm)],[f2])).
% 7.49/1.46 fof(f6,plain,(
% 7.49/1.46 ~multiply(a,multiply(a,multiply(a,a)))=identity),
% 7.49/1.46 inference(cnf_transformation,[status(thm)],[f3])).
% 7.49/1.46 fof(f11,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2))))))=multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f4,f4])).
% 7.49/1.46 fof(f13,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(identity,identity))))=identity)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f5,f4])).
% 7.49/1.46 fof(f15,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity)))=X1)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f5,f4])).
% 7.49/1.46 fof(f16,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity)))=identity)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 7.49/1.46 fof(f17,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))=identity)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f16])).
% 7.49/1.46 fof(f18,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f15])).
% 7.49/1.46 fof(f21,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))))=X1)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f17,f4])).
% 7.49/1.46 fof(f49,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))=multiply(multiply(identity,identity),multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f5,f11])).
% 7.49/1.46 fof(f76,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,multiply(identity,identity)),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f11,f18])).
% 7.49/1.46 fof(f83,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))=multiply(identity,multiply(multiply(multiply(identity,identity),multiply(identity,identity)),multiply(identity,X0))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f49])).
% 7.49/1.46 fof(f84,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))=multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,X0))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f83])).
% 7.49/1.46 fof(f85,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))=multiply(identity,multiply(multiply(identity,identity),multiply(identity,X0))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f84])).
% 7.49/1.46 fof(f86,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))=multiply(identity,multiply(identity,multiply(identity,X0))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f85])).
% 7.49/1.46 fof(f132,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(multiply(identity,identity),multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f76])).
% 7.49/1.46 fof(f133,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,multiply(identity,identity)),multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f132])).
% 7.49/1.46 fof(f134,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,identity),multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f133])).
% 7.49/1.46 fof(f135,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f134])).
% 7.49/1.46 fof(f136,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,identity))))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f135])).
% 7.49/1.46 fof(f137,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f136])).
% 7.49/1.46 fof(f138,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f137])).
% 7.49/1.46 fof(f139,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f138])).
% 7.49/1.46 fof(f140,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity))=X0)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f5,f139])).
% 7.49/1.46 fof(f148,plain,(
% 7.49/1.46 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity))=multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f17,f139])).
% 7.49/1.46 fof(f163,plain,(
% 7.49/1.46 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))=multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f148])).
% 7.49/1.46 fof(f172,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(X0,identity))=multiply(multiply(identity,X0),identity))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f140,f140])).
% 7.49/1.46 fof(f181,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))=multiply(multiply(identity,multiply(multiply(identity,identity),multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f4,f140])).
% 7.49/1.46 fof(f204,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))=multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f181])).
% 7.49/1.46 fof(f216,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))=X0)),
% 7.49/1.46 inference(backward_demodulation,[status(thm)],[f172,f140])).
% 7.49/1.46 fof(f233,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))=X0)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f172,f216])).
% 7.49/1.46 fof(f234,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))=X0)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f172,f233])).
% 7.49/1.46 fof(f1343,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f163,f21])).
% 7.49/1.46 fof(f1344,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(X1,multiply(multiply(X1,X1),identity)),identity)))))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f163,f1343])).
% 7.49/1.46 fof(f1345,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))))=X1)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f163,f1344])).
% 7.49/1.46 fof(f5123,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))=multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f172,f204])).
% 7.49/1.46 fof(f5124,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(identity,identity),identity)))=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f234,f5123])).
% 7.49/1.46 fof(f5170,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity))))=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f172,f5124])).
% 7.49/1.46 fof(f5171,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(identity,identity)))=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f5170])).
% 7.49/1.46 fof(f5172,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,identity))=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f5171])).
% 7.49/1.46 fof(f5173,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,identity)=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f5172])).
% 7.49/1.46 fof(f5174,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f5,f5173])).
% 7.49/1.46 fof(f5936,plain,(
% 7.49/1.46 ![X0]: (multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,X0))),identity)),identity))=multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f86,f139])).
% 7.49/1.46 fof(f6014,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,X0))=multiply(identity,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f139,f5936])).
% 7.49/1.46 fof(f6150,plain,(
% 7.49/1.46 ![X0]: (multiply(multiply(identity,identity),multiply(multiply(identity,multiply(multiply(identity,multiply(identity,X0)),identity)),identity))=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f6014,f139])).
% 7.49/1.46 fof(f6236,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,X0)=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f139,f6150])).
% 7.49/1.46 fof(f6244,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2)))=multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))))),
% 7.49/1.46 inference(backward_demodulation,[status(thm)],[f6236,f11])).
% 7.49/1.46 fof(f6257,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,multiply(X2,multiply(X2,X2))))),multiply(identity,X2)))=X1)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f6236,f4])).
% 7.49/1.46 fof(f6791,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,identity),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,identity),identity))))))=multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f234,f6244])).
% 7.49/1.46 fof(f6854,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,identity),X1))=multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f234,f6791])).
% 7.49/1.46 fof(f7933,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2)))=multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))))),
% 7.49/1.46 inference(backward_demodulation,[status(thm)],[f6854,f6244])).
% 7.49/1.46 fof(f8114,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))),identity)),identity))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f7933,f139])).
% 7.49/1.46 fof(f8263,plain,(
% 7.49/1.46 ![X0,X1,X2]: (multiply(multiply(X0,identity),multiply(X1,X2))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f139,f8114])).
% 7.49/1.46 fof(f8384,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(multiply(X0,identity),multiply(X1,identity))=multiply(multiply(X0,X1),identity))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f5,f8263])).
% 7.49/1.46 fof(f8856,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))))),
% 7.49/1.46 inference(backward_demodulation,[status(thm)],[f8384,f5174])).
% 7.49/1.46 fof(f8936,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity)))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f8384,f8856])).
% 7.49/1.46 fof(f8937,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),identity)))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f8384,f8936])).
% 7.49/1.46 fof(f8938,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f8384,f8937])).
% 7.49/1.46 fof(f9580,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),identity),identity)))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f6236,f8938])).
% 7.49/1.46 fof(f9622,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f172,f9580])).
% 7.49/1.46 fof(f9623,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f172,f9622])).
% 7.49/1.46 fof(f9995,plain,(
% 7.49/1.46 ![X0]: (identity=multiply(multiply(X0,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f8263,f9623])).
% 7.49/1.46 fof(f10660,plain,(
% 7.49/1.46 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity)),multiply(multiply(X1,X1),multiply(multiply(X1,identity),identity))))))=multiply(X1,identity))),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f9995,f4])).
% 7.49/1.46 fof(f10898,plain,(
% 7.49/1.46 ![X0]: (X0=multiply(X0,identity))),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f1345,f10660])).
% 7.49/1.46 fof(f10909,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(identity,multiply(X0,identity))))=X0)),
% 7.49/1.46 inference(backward_demodulation,[status(thm)],[f10898,f234])).
% 7.49/1.46 fof(f10961,plain,(
% 7.49/1.46 ![X0]: (multiply(identity,multiply(identity,multiply(identity,X0)))=X0)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f10898,f10909])).
% 7.49/1.46 fof(f11210,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity)))=identity)),
% 7.49/1.46 inference(paramodulation,[status(thm)],[f10961,f6257])).
% 7.49/1.46 fof(f11227,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(X0,X0)),multiply(identity,identity)))=identity)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f10898,f11210])).
% 7.49/1.46 fof(f11228,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(X0,X0)),identity))=identity)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f10898,f11227])).
% 7.49/1.46 fof(f11229,plain,(
% 7.49/1.46 ![X0]: (multiply(X0,multiply(X0,multiply(X0,X0)))=identity)),
% 7.49/1.46 inference(forward_demodulation,[status(thm)],[f10898,f11228])).
% 7.49/1.46 fof(f11279,plain,(
% 7.49/1.46 ~identity=identity),
% 7.49/1.46 inference(backward_demodulation,[status(thm)],[f11229,f6])).
% 7.49/1.46 fof(f11300,plain,(
% 7.49/1.46 $false),
% 7.49/1.46 inference(trivial_equality_resolution,[status(thm)],[f11279])).
% 7.49/1.46 % SZS output end CNFRefutation for theBenchmark.p
% 19.53/10.97 % Elapsed time: 10.590861 seconds
% 19.53/10.97 % CPU time: 83.227572 seconds
% 19.53/10.97 % Total memory used: 51.670 GB
% 19.53/10.97 % Net memory used: 51.662 GB
%------------------------------------------------------------------------------