%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP120-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 9.13s 1.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP120-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 19:53:11 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 9.13/1.70 % Refutation found
% 9.13/1.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.13/1.70 % SZS output start CNFRefutation for theBenchmark
% 9.13/1.70 fof(f1,axiom,(
% 9.13/1.70 (![Y,X,Z]: (multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z)))) = X ))),
% 9.13/1.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/1.70 fof(f2,axiom,(
% 9.13/1.70 multiply(identity,identity) = identity ),
% 9.13/1.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/1.70 fof(f3,negated_conjecture,(
% 9.13/1.70 multiply(identity,a) != a ),
% 9.13/1.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.13/1.70 fof(f4,plain,(
% 9.13/1.70 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))))=X1)),
% 9.13/1.70 inference(cnf_transformation,[status(thm)],[f1])).
% 9.13/1.70 fof(f5,plain,(
% 9.13/1.70 multiply(identity,identity)=identity),
% 9.13/1.70 inference(cnf_transformation,[status(thm)],[f2])).
% 9.13/1.70 fof(f6,plain,(
% 9.13/1.70 ~multiply(identity,a)=a),
% 9.13/1.70 inference(cnf_transformation,[status(thm)],[f3])).
% 9.13/1.70 fof(f9,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f4,f4])).
% 9.13/1.70 fof(f11,plain,(
% 9.13/1.70 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,multiply(identity,identity))))=identity)),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f5,f4])).
% 9.13/1.70 fof(f13,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),multiply(identity,identity)))=X1)),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f5,f4])).
% 9.13/1.70 fof(f14,plain,(
% 9.13/1.70 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),multiply(identity,identity)))=identity)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 9.13/1.70 fof(f15,plain,(
% 9.13/1.70 ![X0]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))=identity)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f14])).
% 9.13/1.70 fof(f16,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,identity))),identity))=X1)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 9.13/1.70 fof(f19,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f15,f4])).
% 9.13/1.70 fof(f47,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f5,f9])).
% 9.13/1.70 fof(f74,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f9,f16])).
% 9.13/1.70 fof(f81,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f47])).
% 9.13/1.70 fof(f82,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f81])).
% 9.13/1.70 fof(f83,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f82])).
% 9.13/1.70 fof(f84,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f83])).
% 9.13/1.70 fof(f130,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f74])).
% 9.13/1.70 fof(f131,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f130])).
% 9.13/1.70 fof(f132,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f131])).
% 9.13/1.70 fof(f133,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))))),identity))=X1)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f132])).
% 9.13/1.70 fof(f134,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(identity,identity))))),identity))=X1)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f133])).
% 9.13/1.70 fof(f135,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,identity)))),identity))=X1)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f134])).
% 9.13/1.70 fof(f136,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))),identity))=X1)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f135])).
% 9.13/1.70 fof(f137,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),identity)),identity))=X1)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f136])).
% 9.13/1.70 fof(f138,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),identity)),identity))=X0)),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f5,f137])).
% 9.13/1.70 fof(f146,plain,(
% 9.13/1.70 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,multiply(identity,identity)),identity))=multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f15,f137])).
% 9.13/1.70 fof(f161,plain,(
% 9.13/1.70 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))=multiply(multiply(X0,multiply(multiply(X0,X0),identity)),identity))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f146])).
% 9.13/1.70 fof(f170,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,multiply(X0,identity))=multiply(multiply(identity,X0),identity))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f138,f138])).
% 9.13/1.70 fof(f179,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f4,f138])).
% 9.13/1.70 fof(f202,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity))=multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f179])).
% 9.13/1.70 fof(f214,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(multiply(identity,X0),identity),identity)))=X0)),
% 9.13/1.70 inference(backward_demodulation,[status(thm)],[f170,f138])).
% 9.13/1.70 fof(f231,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,multiply(identity,multiply(multiply(identity,multiply(X0,identity)),identity)))=X0)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f170,f214])).
% 9.13/1.70 fof(f232,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity))))=X0)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f170,f231])).
% 9.13/1.70 fof(f710,plain,(
% 9.13/1.70 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity)))=X0)),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f161,f137])).
% 9.13/1.70 fof(f1341,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f161,f19])).
% 9.13/1.70 fof(f1342,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f161,f1341])).
% 9.13/1.70 fof(f1343,plain,(
% 9.13/1.70 ![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)),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f161,f1342])).
% 9.13/1.70 fof(f5121,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(identity,multiply(identity,multiply(multiply(X0,identity),identity)))=multiply(multiply(identity,multiply(identity,multiply(X0,X1))),multiply(X1,multiply(X1,X1))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f170,f202])).
% 9.13/1.70 fof(f5122,plain,(
% 9.13/1.70 ![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)))))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f232,f5121])).
% 9.13/1.70 fof(f5168,plain,(
% 9.13/1.70 ![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)))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f170,f5122])).
% 9.13/1.70 fof(f5169,plain,(
% 9.13/1.70 ![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)))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f5168])).
% 9.13/1.70 fof(f5170,plain,(
% 9.13/1.70 ![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)))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f5169])).
% 9.13/1.70 fof(f5171,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,identity)=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f5170])).
% 9.13/1.70 fof(f5172,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),identity),multiply(multiply(X0,identity),identity)))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f5,f5171])).
% 9.13/1.70 fof(f5934,plain,(
% 9.13/1.70 ![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))))))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f84,f137])).
% 9.13/1.70 fof(f6012,plain,(
% 9.13/1.70 ![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))))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f137,f5934])).
% 9.13/1.70 fof(f6148,plain,(
% 9.13/1.70 ![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)))))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f6012,f137])).
% 9.13/1.70 fof(f6234,plain,(
% 9.13/1.70 ![X0]: (multiply(identity,X0)=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f137,f6148])).
% 9.13/1.70 fof(f6242,plain,(
% 9.13/1.70 ![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))))),
% 9.13/1.70 inference(backward_demodulation,[status(thm)],[f6234,f9])).
% 9.13/1.70 fof(f6789,plain,(
% 9.13/1.70 ![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)))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f232,f6242])).
% 9.13/1.70 fof(f6852,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(X0,multiply(multiply(X0,identity),X1))=multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f232,f6789])).
% 9.13/1.70 fof(f7931,plain,(
% 9.13/1.70 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,X1),multiply(identity,X2)))=multiply(X0,multiply(multiply(X0,identity),multiply(X1,X2))))),
% 9.13/1.70 inference(backward_demodulation,[status(thm)],[f6852,f6242])).
% 9.13/1.70 fof(f8112,plain,(
% 9.13/1.70 ![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)))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f7931,f137])).
% 9.13/1.70 fof(f8261,plain,(
% 9.13/1.70 ![X0,X1,X2]: (multiply(multiply(X0,identity),multiply(X1,X2))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f137,f8112])).
% 9.13/1.70 fof(f8382,plain,(
% 9.13/1.70 ![X0,X1]: (multiply(multiply(X0,identity),multiply(X1,identity))=multiply(multiply(X0,X1),identity))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f5,f8261])).
% 9.13/1.70 fof(f8854,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),identity),multiply(multiply(multiply(X0,identity),multiply(X0,identity)),identity))))),
% 9.13/1.70 inference(backward_demodulation,[status(thm)],[f8382,f5172])).
% 9.13/1.70 fof(f8934,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,identity),multiply(X0,identity))),identity)))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f8382,f8854])).
% 9.13/1.70 fof(f8935,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,identity),multiply(multiply(X0,X0),identity)),identity)))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f8382,f8934])).
% 9.13/1.70 fof(f8936,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(X0,multiply(multiply(multiply(X0,multiply(X0,X0)),identity),identity)))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f8382,f8935])).
% 9.13/1.70 fof(f9578,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(multiply(identity,X0),identity),identity)))),
% 9.13/1.70 inference(paramodulation,[status(thm)],[f6234,f8936])).
% 9.13/1.70 fof(f9620,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(identity,multiply(X0,identity)),identity)))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f170,f9578])).
% 9.13/1.70 fof(f9621,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(multiply(X0,multiply(X0,X0)),multiply(identity,multiply(multiply(X0,identity),identity))))),
% 9.13/1.70 inference(forward_demodulation,[status(thm)],[f170,f9620])).
% 9.13/1.70 fof(f9993,plain,(
% 9.13/1.70 ![X0]: (identity=multiply(multiply(X0,identity),multiply(multiply(X0,X0),multiply(multiply(X0,identity),identity))))),
% 9.13/1.73 inference(paramodulation,[status(thm)],[f8261,f9621])).
% 9.13/1.73 fof(f10658,plain,(
% 9.13/1.73 ![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))),
% 9.13/1.73 inference(paramodulation,[status(thm)],[f9993,f4])).
% 9.13/1.73 fof(f10896,plain,(
% 9.13/1.73 ![X0]: (X0=multiply(X0,identity))),
% 9.13/1.73 inference(forward_demodulation,[status(thm)],[f1343,f10658])).
% 9.13/1.73 fof(f10906,plain,(
% 9.13/1.73 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,X0),multiply(X0,identity)))=X0)),
% 9.13/1.73 inference(backward_demodulation,[status(thm)],[f10896,f710])).
% 9.13/1.73 fof(f10908,plain,(
% 9.13/1.73 ![X0,X1]: (multiply(multiply(X0,X0),multiply(X0,multiply(multiply(X0,X1),identity)))=X1)),
% 9.13/1.73 inference(backward_demodulation,[status(thm)],[f10896,f137])).
% 9.13/1.73 fof(f10958,plain,(
% 9.13/1.73 ![X0]: (multiply(multiply(X0,X0),multiply(multiply(X0,X0),X0))=X0)),
% 9.13/1.73 inference(forward_demodulation,[status(thm)],[f10896,f10906])).
% 9.13/1.73 fof(f10960,plain,(
% 9.13/1.73 ![X0,X1]: (multiply(multiply(X0,X0),multiply(X0,multiply(X0,X1)))=X1)),
% 9.13/1.73 inference(forward_demodulation,[status(thm)],[f10896,f10908])).
% 9.13/1.73 fof(f11463,plain,(
% 9.13/1.73 ![X0]: (multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X0)=X0)),
% 9.13/1.73 inference(paramodulation,[status(thm)],[f10958,f10960])).
% 9.13/1.73 fof(f11470,plain,(
% 9.13/1.73 ![X0]: (multiply(multiply(X0,X0),multiply(X0,X0))=identity)),
% 9.13/1.73 inference(paramodulation,[status(thm)],[f10896,f10960])).
% 9.13/1.73 fof(f12315,plain,(
% 9.13/1.73 ~a=a),
% 9.13/1.73 inference(backward_demodulation,[status(thm)],[f12318,f6])).
% 9.13/1.73 fof(f12318,plain,(
% 9.13/1.73 ![X0]: (multiply(identity,X0)=X0)),
% 9.13/1.73 inference(forward_demodulation,[status(thm)],[f11470,f11463])).
% 9.13/1.73 fof(f12372,plain,(
% 9.13/1.73 $false),
% 9.13/1.73 inference(trivial_equality_resolution,[status(thm)],[f12315])).
% 9.13/1.73 % SZS output end CNFRefutation for theBenchmark.p
% 4.26/1.77 % Elapsed time: 1.311912 seconds
% 4.26/1.77 % CPU time: 10.100502 seconds
% 4.26/1.77 % Total memory used: 241.410 MB
% 4.26/1.77 % Net memory used: 225.287 MB
%------------------------------------------------------------------------------