%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 15.17s 2.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:57:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 15.17/2.37 % Refutation found
% 15.17/2.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.17/2.37 % SZS output start CNFRefutation for theBenchmark
% 15.17/2.37 fof(f1,axiom,(
% 15.17/2.37 (![Y,X,Z]: (multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z)))) = X ))),
% 15.17/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.17/2.37 fof(f2,axiom,(
% 15.17/2.37 multiply(identity,identity) = identity ),
% 15.17/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.17/2.37 fof(f3,negated_conjecture,(
% 15.17/2.37 multiply(a,identity) != a ),
% 15.17/2.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 15.17/2.37 fof(f4,plain,(
% 15.17/2.37 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))))=X1)),
% 15.17/2.37 inference(cnf_transformation,[status(thm)],[f1])).
% 15.17/2.37 fof(f5,plain,(
% 15.17/2.37 multiply(identity,identity)=identity),
% 15.17/2.37 inference(cnf_transformation,[status(thm)],[f2])).
% 15.17/2.37 fof(f6,plain,(
% 15.17/2.37 ~multiply(a,identity)=a),
% 15.17/2.37 inference(cnf_transformation,[status(thm)],[f3])).
% 15.17/2.37 fof(f9,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f4,f4])).
% 15.17/2.37 fof(f11,plain,(
% 15.17/2.37 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(identity,identity))))=identity)),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f5,f4])).
% 15.17/2.37 fof(f13,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity)))=X1)),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f5,f4])).
% 15.17/2.37 fof(f14,plain,(
% 15.17/2.37 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity)))=identity)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 15.17/2.37 fof(f15,plain,(
% 15.17/2.37 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))=identity)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f14])).
% 15.17/2.37 fof(f16,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity))=X1)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 15.17/2.37 fof(f19,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f15,f4])).
% 15.17/2.37 fof(f47,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f5,f9])).
% 15.17/2.37 fof(f74,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f9,f16])).
% 15.17/2.37 fof(f81,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f47])).
% 15.17/2.37 fof(f82,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f81])).
% 15.17/2.37 fof(f83,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f82])).
% 15.17/2.37 fof(f84,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f83])).
% 15.17/2.37 fof(f129,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f74])).
% 15.17/2.37 fof(f130,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f129])).
% 15.17/2.37 fof(f131,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f130])).
% 15.17/2.37 fof(f132,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f131])).
% 15.17/2.37 fof(f133,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,identity))))),identity))=X1)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f132])).
% 15.17/2.37 fof(f134,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity))=X1)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f133])).
% 15.17/2.37 fof(f135,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity))=X1)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f134])).
% 15.17/2.37 fof(f136,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity))=X1)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f135])).
% 15.17/2.37 fof(f137,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity))=X0)),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f5,f136])).
% 15.17/2.37 fof(f145,plain,(
% 15.17/2.37 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity))=multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f15,f136])).
% 15.17/2.37 fof(f160,plain,(
% 15.17/2.37 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))=multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f145])).
% 15.17/2.37 fof(f169,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,multiply(X0,identity))=multiply(multiply(identity,X0),identity))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f137,f137])).
% 15.17/2.37 fof(f178,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f4,f137])).
% 15.17/2.37 fof(f201,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))=multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f178])).
% 15.17/2.37 fof(f213,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))=X0)),
% 15.17/2.37 inference(backward_demodulation,[status(thm)],[f169,f137])).
% 15.17/2.37 fof(f230,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))=X0)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f169,f213])).
% 15.17/2.37 fof(f231,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))=X0)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f169,f230])).
% 15.17/2.37 fof(f1351,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f160,f19])).
% 15.17/2.37 fof(f1352,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f160,f1351])).
% 15.17/2.37 fof(f1353,plain,(
% 15.17/2.37 ![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)),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f160,f1352])).
% 15.17/2.37 fof(f5269,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))=multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f169,f201])).
% 15.17/2.37 fof(f5270,plain,(
% 15.17/2.37 ![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)))))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f231,f5269])).
% 15.17/2.37 fof(f5316,plain,(
% 15.17/2.37 ![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)))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f169,f5270])).
% 15.17/2.37 fof(f5317,plain,(
% 15.17/2.37 ![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)))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f5316])).
% 15.17/2.37 fof(f5318,plain,(
% 15.17/2.37 ![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)))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f5317])).
% 15.17/2.37 fof(f5319,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,identity)=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f5318])).
% 15.17/2.37 fof(f5320,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f5,f5319])).
% 15.17/2.37 fof(f6106,plain,(
% 15.17/2.37 ![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))))))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f84,f136])).
% 15.17/2.37 fof(f6197,plain,(
% 15.17/2.37 ![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))))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f136,f6106])).
% 15.17/2.37 fof(f6338,plain,(
% 15.17/2.37 ![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)))))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f6197,f136])).
% 15.17/2.37 fof(f6442,plain,(
% 15.17/2.37 ![X0]: (multiply(identity,X0)=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f136,f6338])).
% 15.17/2.37 fof(f6455,plain,(
% 15.17/2.37 ![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))))),
% 15.17/2.37 inference(backward_demodulation,[status(thm)],[f6442,f9])).
% 15.17/2.37 fof(f7002,plain,(
% 15.17/2.37 ![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)))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f231,f6455])).
% 15.17/2.37 fof(f7065,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(X0,multiply(multiply(X0,identity),X1))=multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f231,f7002])).
% 15.17/2.37 fof(f8144,plain,(
% 15.17/2.37 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2)))=multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))))),
% 15.17/2.37 inference(backward_demodulation,[status(thm)],[f7065,f6455])).
% 15.17/2.37 fof(f8314,plain,(
% 15.17/2.37 ![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)))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f8144,f136])).
% 15.17/2.37 fof(f8447,plain,(
% 15.17/2.37 ![X0,X1,X2]: (multiply(multiply(X0,identity),multiply(X1,X2))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f136,f8314])).
% 15.17/2.37 fof(f8558,plain,(
% 15.17/2.37 ![X0,X1]: (multiply(multiply(X0,identity),multiply(X1,identity))=multiply(multiply(X0,X1),identity))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f5,f8447])).
% 15.17/2.37 fof(f9021,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))))),
% 15.17/2.37 inference(backward_demodulation,[status(thm)],[f8558,f5320])).
% 15.17/2.37 fof(f9097,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity)))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f8558,f9021])).
% 15.17/2.37 fof(f9098,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),identity)))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f8558,f9097])).
% 15.17/2.37 fof(f9099,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f8558,f9098])).
% 15.17/2.37 fof(f9734,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),identity),identity)))),
% 15.17/2.37 inference(paramodulation,[status(thm)],[f6442,f9099])).
% 15.17/2.37 fof(f9774,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f169,f9734])).
% 15.17/2.37 fof(f9775,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f169,f9774])).
% 15.17/2.37 fof(f9776,plain,(
% 15.17/2.37 ![X0]: (identity=multiply(multiply(X0,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),
% 15.17/2.37 inference(forward_demodulation,[status(thm)],[f8447,f9775])).
% 15.17/2.37 fof(f10218,plain,(
% 15.17/2.39 ![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))),
% 15.17/2.39 inference(paramodulation,[status(thm)],[f9776,f4])).
% 15.17/2.39 fof(f10451,plain,(
% 15.17/2.39 ![X0]: (X0=multiply(X0,identity))),
% 15.17/2.39 inference(forward_demodulation,[status(thm)],[f1353,f10218])).
% 15.17/2.39 fof(f10895,plain,(
% 15.17/2.39 ~a=a),
% 15.17/2.39 inference(backward_demodulation,[status(thm)],[f10451,f6])).
% 15.17/2.39 fof(f10941,plain,(
% 15.17/2.39 $false),
% 15.17/2.39 inference(trivial_equality_resolution,[status(thm)],[f10895])).
% 15.17/2.39 % SZS output end CNFRefutation for theBenchmark.p
% 2.83/2.47 % Elapsed time: 2.103237 seconds
% 2.83/2.47 % CPU time: 16.078750 seconds
% 2.83/2.47 % Total memory used: 312.627 MB
% 2.83/2.47 % Net memory used: 284.110 MB
%------------------------------------------------------------------------------