%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:35:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:00:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.60 % Refutation found
% 0.08/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.60 fof(f1,axiom,(
% 0.08/0.60 (![X,Y,Z]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))) = Y ))),
% 0.08/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f2,axiom,(
% 0.08/0.60 (![X,Y]: (multiply(X,Y) = inverse(double_divide(Y,X)) ))),
% 0.08/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f3,negated_conjecture,(
% 0.08/0.60 ( 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))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.08/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.60 fof(f4,plain,(
% 0.08/0.60 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2)))=X1)),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.60 fof(f5,plain,(
% 0.08/0.60 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.60 fof(f6,plain,(
% 0.08/0.60 ~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))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.08/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.60 fof(f7,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1)))=X2)),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.08/0.60 fof(f8,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2))))=X2)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f7])).
% 0.08/0.60 fof(f9,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f8])).
% 0.08/0.60 fof(f10,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f9,f9])).
% 0.08/0.60 fof(f11,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f9,f9])).
% 0.08/0.60 fof(f13,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(multiply(X1,multiply(X0,X2)),X3)),double_divide(X2,X1))=X3)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.08/0.60 fof(f16,plain,(
% 0.08/0.60 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f10,f11])).
% 0.08/0.60 fof(f32,plain,(
% 0.08/0.60 ![X0,X1,X2]: (X0=double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.08/0.60 fof(f34,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0)=double_divide(X2,multiply(X3,X1)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.08/0.60 fof(f41,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1)=inverse(X2))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f16,f5])).
% 0.08/0.60 fof(f55,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=inverse(X1))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f32,f5])).
% 0.08/0.60 fof(f65,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),X1)),inverse(X3))=X2)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f41,f9])).
% 0.08/0.60 fof(f68,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (X0=double_divide(X1,multiply(double_divide(inverse(X2),X0),multiply(double_divide(multiply(X3,X1),X2),X3))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f41,f16])).
% 0.08/0.60 fof(f71,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(inverse(X0),double_divide(X1,X2)),multiply(double_divide(multiply(X3,X1),X0),X3))=X2)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f41,f10])).
% 0.08/0.60 fof(f75,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1))=X2)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f34,f65])).
% 0.08/0.60 fof(f77,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=inverse(multiply(double_divide(multiply(X3,X2),X1),X3)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f41,f55])).
% 0.08/0.60 fof(f80,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),X0))=inverse(double_divide(X3,multiply(X1,X2))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f55,f55])).
% 0.08/0.60 fof(f99,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),X0))=multiply(multiply(X1,X2),X3))),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f80])).
% 0.08/0.60 fof(f127,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,inverse(X1))),inverse(multiply(double_divide(multiply(X2,X3),X1),X2)))=X3)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f41,f75])).
% 0.08/0.60 fof(f133,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,X1)),inverse(double_divide(X2,X3)))=multiply(X3,multiply(X1,X2)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f9,f75])).
% 0.08/0.60 fof(f134,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,multiply(double_divide(X1,X2),X3))),multiply(X2,X1))=X3)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f5,f75])).
% 0.08/0.60 fof(f135,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,X1)=inverse(double_divide(multiply(inverse(X2),X1),multiply(X2,X0))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f75,f41])).
% 0.08/0.60 fof(f136,plain,(
% 0.08/0.60 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),X1),multiply(X0,X2))=double_divide(X1,X2))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f75,f16])).
% 0.08/0.60 fof(f159,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3))=multiply(X2,multiply(X1,X3)))),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f133])).
% 0.08/0.60 fof(f160,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f159,f134])).
% 0.08/0.60 fof(f162,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X2,X0),multiply(inverse(X2),X1)))),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f135])).
% 0.08/0.60 fof(f171,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f160,f160])).
% 0.08/0.60 fof(f176,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,X1)),inverse(X2))=multiply(multiply(double_divide(X3,X2),X1),X3))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f160,f75])).
% 0.08/0.60 fof(f181,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (X0=double_divide(multiply(multiply(multiply(double_divide(X1,X0),X2),X1),X3),double_divide(X3,X2)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f160,f32])).
% 0.08/0.60 fof(f185,plain,(
% 0.08/0.60 ![X0,X1,X2,X3,X4]: (multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3))=double_divide(multiply(multiply(double_divide(X4,X3),X1),X4),X0))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f160,f11])).
% 0.08/0.60 fof(f196,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(multiply(multiply(double_divide(X0,X1),X2),X0),X3)=multiply(X2,multiply(inverse(X1),X3)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f160,f162])).
% 0.08/0.60 fof(f226,plain,(
% 0.08/0.60 ![X0,X1,X2]: (X0=double_divide(multiply(X1,multiply(inverse(X0),X2)),double_divide(X2,X1)))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f196,f181])).
% 0.08/0.60 fof(f239,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3)=double_divide(X2,multiply(X1,multiply(X3,X0))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f9,f136])).
% 0.08/0.60 fof(f243,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f136,f16])).
% 0.08/0.60 fof(f271,plain,(
% 0.08/0.60 ![X0,X1,X2,X3,X4]: (multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3))=double_divide(X4,multiply(double_divide(X4,X3),multiply(X0,X1))))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f279,f185])).
% 0.08/0.60 fof(f279,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,X1),X2),X3)=double_divide(X2,multiply(X0,multiply(X3,X1))))),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f239])).
% 0.08/0.60 fof(f284,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),double_divide(X2,X3))=double_divide(multiply(X0,X2),multiply(X1,X3)))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f32,f13])).
% 0.08/0.60 fof(f303,plain,(
% 0.08/0.60 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,double_divide(multiply(multiply(X1,X2),multiply(X0,multiply(inverse(X1),X3))),X4)),double_divide(X3,X2))=X4)),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f136,f13])).
% 0.08/0.60 fof(f344,plain,(
% 0.08/0.60 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,double_divide(multiply(X0,multiply(inverse(X1),X2)),multiply(X1,multiply(X3,X4)))),double_divide(X2,X4))=X3)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f279,f303])).
% 0.08/0.60 fof(f345,plain,(
% 0.08/0.60 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,multiply(double_divide(X0,X1),double_divide(multiply(inverse(X1),X2),multiply(X3,X4)))),double_divide(X2,X4))=X3)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f284,f344])).
% 0.08/0.60 fof(f346,plain,(
% 0.08/0.60 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,multiply(double_divide(X0,X1),multiply(double_divide(inverse(X1),X2),double_divide(X3,X4)))),double_divide(X3,X4))=X2)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f284,f345])).
% 0.08/0.60 fof(f371,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(X1,X2),inverse(X0)))=double_divide(X1,X2))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f226,f11])).
% 0.08/0.60 fof(f399,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(X1,X2),X3),X1))=double_divide(X2,multiply(X3,inverse(X0))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f16,f243])).
% 0.08/0.60 fof(f401,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),X2)=double_divide(X3,multiply(double_divide(X3,X2),multiply(X1,X0))))),
% 0.08/0.60 inference(paramodulation,[status(thm)],[f5,f243])).
% 0.08/0.60 fof(f429,plain,(
% 0.08/0.60 ![X0,X1,X2]: (double_divide(X0,multiply(X1,inverse(double_divide(inverse(X1),double_divide(X0,X2)))))=X2)),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f399,f71])).
% 0.08/0.60 fof(f430,plain,(
% 0.08/0.60 ![X0,X1,X2]: (X0=double_divide(X1,double_divide(X1,multiply(X2,inverse(double_divide(inverse(X2),X0))))))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f399,f68])).
% 0.08/0.60 fof(f435,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(multiply(double_divide(double_divide(X0,X1),double_divide(inverse(X2),X3)),X2),double_divide(X0,X1))=X3)),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f401,f346])).
% 0.08/0.60 fof(f441,plain,(
% 0.08/0.60 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3))=multiply(double_divide(X1,X0),X3))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f401,f271])).
% 0.08/0.60 fof(f461,plain,(
% 0.08/0.60 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(double_divide(X0,X2),inverse(X1))))=X2)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f429])).
% 0.08/0.60 fof(f463,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(double_divide(multiply(X1,X2),X0),X1)))=X2)),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f480,f127])).
% 0.08/0.60 fof(f478,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,inverse(X1))=multiply(multiply(double_divide(X2,X1),X0),X2))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f480,f176])).
% 0.08/0.60 fof(f480,plain,(
% 0.08/0.60 ![X0,X1]: (double_divide(X0,double_divide(X0,X1))=X1)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f371,f461])).
% 0.08/0.60 fof(f481,plain,(
% 0.08/0.60 ![X0,X1]: (X0=multiply(X1,inverse(double_divide(inverse(X1),X0))))),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f480,f430])).
% 0.08/0.60 fof(f483,plain,(
% 0.08/0.60 ![X0,X1]: (X0=multiply(X1,multiply(X0,inverse(X1))))),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f481])).
% 0.08/0.60 fof(f494,plain,(
% 0.08/0.60 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f171,f435])).
% 0.08/0.60 fof(f495,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),X2),X0)=double_divide(X1,X2))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f441,f11])).
% 0.08/0.60 fof(f531,plain,(
% 0.08/0.60 ![X0,X1]: (multiply(inverse(X0),inverse(double_divide(X1,X0)))=X1)),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f495,f463])).
% 0.08/0.60 fof(f541,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=inverse(double_divide(X2,X1)))),
% 0.08/0.60 inference(backward_demodulation,[status(thm)],[f495,f77])).
% 0.08/0.60 fof(f631,plain,(
% 0.08/0.60 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.08/0.60 inference(forward_demodulation,[status(thm)],[f5,f531])).
% 0.08/0.60 fof(f640,plain,(
% 0.08/0.60 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 1.34/0.60 inference(backward_demodulation,[status(thm)],[f641,f99])).
% 1.34/0.60 fof(f641,plain,(
% 1.34/0.60 ![X0,X1,X2]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=multiply(X1,X2))),
% 1.34/0.60 inference(forward_demodulation,[status(thm)],[f5,f541])).
% 1.34/0.60 fof(f724,plain,(
% 1.34/0.60 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 1.34/0.60 inference(backward_demodulation,[status(thm)],[f640,f6])).
% 1.34/0.60 fof(f744,plain,(
% 1.34/0.60 ![X0,X1,X2]: (multiply(X0,inverse(X1))=multiply(double_divide(X2,X1),multiply(X0,X2)))),
% 1.34/0.60 inference(backward_demodulation,[status(thm)],[f640,f478])).
% 1.34/0.60 fof(f765,plain,(
% 1.34/0.60 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(inverse(b2),multiply(b2,a2))=a2|~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 1.34/0.60 inference(forward_demodulation,[status(thm)],[f640,f724])).
% 1.34/0.60 fof(f766,plain,(
% 1.34/0.60 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 1.34/0.60 inference(forward_demodulation,[status(thm)],[f631,f765])).
% 1.34/0.60 fof(f767,plain,(
% 1.34/0.60 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(a4,b4)=multiply(b4,a4)),
% 1.34/0.60 inference(trivial_equality_resolution,[status(thm)],[f766])).
% 1.34/0.60 fof(f780,plain,(
% 1.34/0.60 ![X0,X1]: (multiply(X0,inverse(inverse(X1)))=multiply(X1,X0))),
% 1.34/0.60 inference(backward_demodulation,[status(thm)],[f744,f641])).
% 1.34/0.60 fof(f880,plain,(
% 1.34/0.60 ![X0]: (X0=inverse(inverse(X0)))),
% 1.34/0.60 inference(paramodulation,[status(thm)],[f483,f631])).
% 1.34/0.60 fof(f885,plain,(
% 1.34/0.60 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(X1,inverse(X1)))),
% 1.34/0.60 inference(paramodulation,[status(thm)],[f494,f631])).
% 1.34/0.60 fof(f891,plain,(
% 1.34/0.60 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 1.34/0.60 inference(backward_demodulation,[status(thm)],[f880,f780])).
% 1.34/0.60 fof(f898,plain,(
% 1.34/0.60 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 1.34/0.60 inference(backward_subsumption_resolution,[status(thm)],[f767,f891])).
% 1.34/0.60 fof(f926,plain,(
% 1.34/0.60 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)),
% 1.34/0.60 inference(paramodulation,[status(thm)],[f891,f898])).
% 1.34/0.60 fof(f942,plain,(
% 1.34/0.60 $false),
% 1.34/0.60 inference(forward_subsumption_resolution,[status(thm)],[f926,f885])).
% 1.34/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.34/0.61 % Elapsed time: 0.248278 seconds
% 1.34/0.61 % CPU time: 1.722146 seconds
% 1.34/0.61 % Total memory used: 95.129 MB
% 1.34/0.61 % Net memory used: 93.881 MB
%------------------------------------------------------------------------------