%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP106-1 : 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 : n007.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 12:35:38 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP106-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 19:55:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.58 % Refutation found
% 0.11/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.58 fof(f1,axiom,(
% 0.11/0.58 (![X,Y,Z]: (inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(Z,Y)))))) = Z ))),
% 0.11/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f2,axiom,(
% 0.11/0.58 (![X,Y]: (multiply(X,Y) = inverse(double_divide(Y,X)) ))),
% 0.11/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f3,negated_conjecture,(
% 0.11/0.58 ( 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) ) ),
% 0.11/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f4,plain,(
% 0.11/0.58 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1))))))=X2)),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.58 fof(f5,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.58 fof(f6,plain,(
% 0.11/0.58 ~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)),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.58 fof(f7,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2))=X1)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.11/0.58 fof(f8,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1))=X0)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f7])).
% 0.11/0.58 fof(f9,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0))=X1)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f8])).
% 0.11/0.58 fof(f10,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0)))=X1)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f9,f9])).
% 0.11/0.58 fof(f11,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3)))=double_divide(X3,X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f9,f9])).
% 0.11/0.58 fof(f12,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(multiply(X1,X3),X0)),X3))=X2)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.11/0.58 fof(f16,plain,(
% 0.11/0.58 ![X0,X1,X2]: (X0=double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f10,f11])).
% 0.11/0.58 fof(f32,plain,(
% 0.11/0.58 ![X0,X1,X2]: (X0=double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.11/0.58 fof(f34,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0)))=double_divide(multiply(X3,X1),X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.11/0.58 fof(f41,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1))))=inverse(X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f16,f5])).
% 0.11/0.58 fof(f55,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0))=inverse(X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f32,f5])).
% 0.11/0.58 fof(f64,plain,(
% 0.11/0.58 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1),double_divide(X1,inverse(X2)))=double_divide(multiply(X3,double_divide(X2,multiply(multiply(X4,X0),X3))),X4))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f41,f11])).
% 0.11/0.58 fof(f65,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(multiply(X1,double_divide(X0,multiply(multiply(X2,X3),X1))),X2))=X3)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f41,f9])).
% 0.11/0.58 fof(f72,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),X1),double_divide(X1,X2))=multiply(X3,double_divide(X0,multiply(X2,X3))))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f41,f9])).
% 0.11/0.58 fof(f74,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,inverse(X2)))=double_divide(double_divide(multiply(X0,X2),X3),X3))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f34,f64])).
% 0.11/0.58 fof(f75,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2))=X1)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f34,f65])).
% 0.11/0.58 fof(f82,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=inverse(double_divide(X3,X1)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f9,f55])).
% 0.11/0.58 fof(f96,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3)))=double_divide(multiply(X3,X0),X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f55,f9])).
% 0.11/0.58 fof(f97,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=multiply(X1,X3))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f82])).
% 0.11/0.58 fof(f145,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(multiply(X2,double_divide(X1,X0)),X3),X3))=X2)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f5,f75])).
% 0.11/0.58 fof(f149,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(X0,X1)),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X1,X2),X0))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f9,f75])).
% 0.11/0.58 fof(f150,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(multiply(X0,X1),X2)),double_divide(double_divide(inverse(X1),X3),X3))=multiply(X2,X0))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f55,f75])).
% 0.11/0.58 fof(f161,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (double_divide(double_divide(multiply(X0,X1),X2),X2)=double_divide(double_divide(X0,X3),multiply(X3,inverse(X1))))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f75,f32])).
% 0.11/0.58 fof(f172,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2)=X1)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f173,f145])).
% 0.11/0.58 fof(f173,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X0,X2),X1))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f149])).
% 0.11/0.58 fof(f174,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(inverse(X2),X3),X3))=multiply(X0,X1))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f150])).
% 0.11/0.58 fof(f176,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),multiply(X2,X1))=multiply(X0,X2))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f173,f174])).
% 0.11/0.58 fof(f191,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X3,multiply(X1,double_divide(double_divide(X2,X0),X3))))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f172,f172])).
% 0.11/0.58 fof(f208,plain,(
% 0.11/0.58 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1),double_divide(X1,multiply(X2,X3)))=double_divide(X3,multiply(X4,multiply(X2,double_divide(X0,X4)))))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f172,f11])).
% 0.11/0.58 fof(f211,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,multiply(X2,multiply(X0,double_divide(X3,X2)))))=X3)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f172,f9])).
% 0.11/0.58 fof(f219,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(double_divide(X1,X2))),X3)=multiply(X0,multiply(multiply(X2,X3),X1)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f9,f176])).
% 0.11/0.58 fof(f243,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X0)))=X1)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f260,f172])).
% 0.11/0.58 fof(f246,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),X3))=multiply(X1,X3))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f260,f97])).
% 0.11/0.58 fof(f260,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),X3)=multiply(X0,multiply(multiply(X1,X3),X2)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f219])).
% 0.11/0.58 fof(f283,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,X2),double_divide(multiply(X2,X3),X0)))=multiply(X1,inverse(X3)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f176,f243])).
% 0.11/0.58 fof(f286,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(multiply(multiply(X1,X2),double_divide(X2,X3)),X0)))=X3)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f243,f243])).
% 0.11/0.58 fof(f299,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),double_divide(X3,X1)))=inverse(X3))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f243,f41])).
% 0.11/0.58 fof(f315,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f246,f299])).
% 0.11/0.58 fof(f355,plain,(
% 0.11/0.58 ![X0,X1]: (X0=inverse(double_divide(multiply(X0,X1),inverse(X1))))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f75,f315])).
% 0.11/0.58 fof(f356,plain,(
% 0.11/0.58 ![X0,X1,X2]: (X0=inverse(double_divide(X0,multiply(multiply(X1,double_divide(X2,X1)),X2))))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f12,f315])).
% 0.11/0.58 fof(f357,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=inverse(double_divide(multiply(X1,X2),X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f32,f315])).
% 0.11/0.58 fof(f361,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f315,f243])).
% 0.11/0.58 fof(f363,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,inverse(X2)))=double_divide(double_divide(X2,multiply(X3,X0)),X3))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f315,f11])).
% 0.11/0.58 fof(f366,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),double_divide(double_divide(X1,X2),X0)))=X2)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f315,f243])).
% 0.11/0.58 fof(f379,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),double_divide(X1,X2))=double_divide(X0,X2))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f315,f9])).
% 0.11/0.58 fof(f380,plain,(
% 0.11/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X0,X1)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f355])).
% 0.11/0.58 fof(f381,plain,(
% 0.11/0.58 ![X0,X1,X2]: (X0=multiply(multiply(multiply(X1,double_divide(X2,X1)),X2),X0))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f356])).
% 0.11/0.58 fof(f382,plain,(
% 0.11/0.58 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f383,f6])).
% 0.11/0.58 fof(f383,plain,(
% 0.11/0.58 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f315,f381])).
% 0.11/0.58 fof(f386,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(multiply(X1,X2),X0)))=inverse(X2))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f55])).
% 0.11/0.58 fof(f387,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,multiply(multiply(X2,X0),X3))))=double_divide(X3,X2))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f11])).
% 0.11/0.58 fof(f390,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(X1,double_divide(X1,multiply(X2,X3))))=double_divide(multiply(X3,X0),X2))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f96])).
% 0.11/0.58 fof(f391,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(X1,double_divide(X1,X2)))=multiply(X3,double_divide(X0,multiply(X2,X3))))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f72])).
% 0.11/0.58 fof(f392,plain,(
% 0.11/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f383])).
% 0.11/0.58 fof(f438,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(X2,double_divide(multiply(X2,X3),X0))))=multiply(X1,inverse(X3)))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f283])).
% 0.11/0.58 fof(f443,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,multiply(X2,multiply(X0,double_divide(X3,X2))))))=X3)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f211])).
% 0.11/0.58 fof(f448,plain,(
% 0.11/0.58 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,double_divide(X1,multiply(X2,X3))))=double_divide(X3,multiply(X4,multiply(X2,double_divide(X0,X4)))))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f208])).
% 0.11/0.58 fof(f449,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,inverse(X2))))=double_divide(double_divide(multiply(X0,X2),X3),X3))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f74])).
% 0.11/0.58 fof(f459,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(multiply(X1,multiply(X2,double_divide(X2,X3))),X0)))=X3)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f483,f286])).
% 0.11/0.58 fof(f483,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f5,f357])).
% 0.11/0.58 fof(f489,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f483,f361])).
% 0.11/0.58 fof(f490,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,inverse(X2))))=double_divide(double_divide(X2,multiply(X3,X0)),X3))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f483,f363])).
% 0.11/0.58 fof(f491,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f191,f366])).
% 0.11/0.58 fof(f492,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f483,f491])).
% 0.11/0.58 fof(f506,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,double_divide(X1,X2)))=double_divide(X0,X2))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f483,f379])).
% 0.11/0.58 fof(f507,plain,(
% 0.11/0.58 ~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)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f483,f382])).
% 0.11/0.58 fof(f508,plain,(
% 0.11/0.58 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(a4,b4)=multiply(b4,a4)),
% 0.11/0.58 inference(trivial_equality_resolution,[status(thm)],[f507])).
% 0.11/0.58 fof(f510,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,multiply(X2,multiply(X0,X3)))))=double_divide(X3,X2))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f483,f387])).
% 0.11/0.58 fof(f534,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,multiply(X1,X2)),X1)=double_divide(double_divide(X2,X3),multiply(X3,inverse(X0))))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f540,f161])).
% 0.11/0.58 fof(f540,plain,(
% 0.11/0.58 ![X0,X1,X2]: (double_divide(X0,multiply(X1,X2))=double_divide(multiply(X2,X0),X1))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f506,f390])).
% 0.11/0.58 fof(f549,plain,(
% 0.11/0.58 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(X2,double_divide(X0,multiply(X1,X2))))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f506,f391])).
% 0.11/0.58 fof(f597,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(X2,double_divide(X3,multiply(X0,X2)))))=multiply(X1,inverse(X3)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f540,f438])).
% 0.11/0.58 fof(f606,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,X0)))=multiply(X1,inverse(X2)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f549,f597])).
% 0.11/0.58 fof(f614,plain,(
% 0.11/0.58 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f510,f443])).
% 0.11/0.58 fof(f629,plain,(
% 0.11/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,multiply(X2,X3))))=double_divide(X3,multiply(X2,inverse(X0))))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f606,f448])).
% 0.11/0.58 fof(f630,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(X1,multiply(X2,X0)),X2))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f631,f490])).
% 0.11/0.58 fof(f631,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X1,inverse(X2))))=multiply(X0,X2))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f614,f449])).
% 0.11/0.58 fof(f640,plain,(
% 0.11/0.58 ![X0,X1]: (inverse(multiply(X0,double_divide(X0,X1)))=X1)),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f386,f459])).
% 0.11/0.58 fof(f728,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(X0,X2),multiply(X2,inverse(X1))))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f630,f534])).
% 0.11/0.58 fof(f799,plain,(
% 0.11/0.58 ![X0]: (X0=inverse(inverse(X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f380,f489])).
% 0.11/0.58 fof(f805,plain,(
% 0.11/0.58 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X1,X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f5,f799])).
% 0.11/0.58 fof(f810,plain,(
% 0.11/0.58 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f805,f640])).
% 0.11/0.58 fof(f824,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f810,f5])).
% 0.11/0.58 fof(f829,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,X2)))=double_divide(X2,multiply(X1,inverse(X0))))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f824,f629])).
% 0.11/0.58 fof(f845,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,double_divide(double_divide(X0,X2),X2)))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f851,f728])).
% 0.11/0.59 fof(f851,plain,(
% 0.11/0.59 ![X0,X1,X2]: (multiply(X0,double_divide(X1,X2))=double_divide(X1,multiply(X2,inverse(X0))))),
% 0.11/0.59 inference(forward_demodulation,[status(thm)],[f805,f829])).
% 0.11/0.59 fof(f873,plain,(
% 0.11/0.59 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.11/0.59 inference(backward_subsumption_resolution,[status(thm)],[f508,f874])).
% 0.11/0.59 fof(f874,plain,(
% 0.11/0.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.11/0.59 inference(forward_demodulation,[status(thm)],[f614,f845])).
% 0.11/0.59 fof(f1026,plain,(
% 0.11/0.59 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.11/0.59 inference(paramodulation,[status(thm)],[f492,f392])).
% 0.11/0.59 fof(f1036,plain,(
% 0.11/0.59 $false),
% 0.11/0.59 inference(backward_subsumption_resolution,[status(thm)],[f873,f1026])).
% 0.11/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.94/0.60 % Elapsed time: 0.218487 seconds
% 0.94/0.60 % CPU time: 1.529366 seconds
% 0.94/0.60 % Total memory used: 90.977 MB
% 0.94/0.60 % Net memory used: 89.685 MB
%------------------------------------------------------------------------------