%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP606-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:36:53 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP606-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:23:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![A,B,C]: (double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,negated_conjecture,(
% 0.13/0.42 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,plain,(
% 0.13/0.42 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2)=X1)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f5,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f6,plain,(
% 0.13/0.42 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.43 fof(f11,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1)=X2)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.43 fof(f12,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1)=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.13/0.43 fof(f13,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3)=X1)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.13/0.43 fof(f14,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1)=double_divide(X3,X2))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.13/0.43 fof(f15,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1))=inverse(X2))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f12,f5])).
% 0.13/0.43 fof(f19,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(inverse(X0),multiply(X0,inverse(X1)))=X1)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.13/0.43 fof(f23,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),multiply(multiply(double_divide(X3,X4),multiply(X1,X0)),X3)),X4)=X2)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f5,f13])).
% 0.13/0.43 fof(f27,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),inverse(X2)))=X2)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f5,f19])).
% 0.13/0.43 fof(f32,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f19,f5])).
% 0.13/0.43 fof(f34,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X0))=inverse(double_divide(X2,X1)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f5,f32])).
% 0.13/0.43 fof(f36,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1))=X0)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f32,f19])).
% 0.13/0.43 fof(f38,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X0))=multiply(X1,X2))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f5,f34])).
% 0.13/0.43 fof(f103,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),inverse(X2))=multiply(X2,multiply(X0,X1)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f38,f36])).
% 0.13/0.43 fof(f125,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f103,f36])).
% 0.13/0.43 fof(f136,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(X0))=multiply(X2,multiply(X1,inverse(X2))))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f125,f38])).
% 0.13/0.43 fof(f141,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f125,f136])).
% 0.13/0.43 fof(f147,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(inverse(double_divide(X1,X2)),X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f125,f14])).
% 0.13/0.43 fof(f156,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(multiply(X2,X1),X0))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f5,f147])).
% 0.13/0.43 fof(f159,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f141,f141])).
% 0.13/0.43 fof(f163,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(inverse(multiply(X0,X1)),X1)=X0)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f141,f19])).
% 0.13/0.43 fof(f171,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(inverse(X0),inverse(X1))=multiply(X1,X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f141,f163])).
% 0.13/0.43 fof(f180,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f141,f159])).
% 0.13/0.43 fof(f183,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(X2))=multiply(X2,double_divide(X1,X0)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f159,f27])).
% 0.13/0.43 fof(f218,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(X1,X2))=multiply(double_divide(X2,X1),X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f5,f171])).
% 0.13/0.43 fof(f224,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),X1)=X0)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f218,f19])).
% 0.13/0.43 fof(f243,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1)=double_divide(X3,double_divide(inverse(X2),X3)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f224,f14])).
% 0.13/0.43 fof(f354,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(X1)),inverse(X2))=double_divide(inverse(multiply(X2,X1)),X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f180,f156])).
% 0.13/0.43 fof(f361,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),multiply(double_divide(inverse(X1),inverse(X0)),inverse(X2)))=X2)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f180,f27])).
% 0.13/0.43 fof(f363,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(X0,double_divide(inverse(X1),X1))=X0)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f366,f163])).
% 0.13/0.43 fof(f366,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),X2))=double_divide(inverse(multiply(X0,X1)),X2))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f183,f354])).
% 0.13/0.43 fof(f374,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X1),inverse(X0)),inverse(X2))))=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f366,f361])).
% 0.13/0.43 fof(f375,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(inverse(X1),double_divide(inverse(X2),inverse(X0))),X2))=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f218,f374])).
% 0.13/0.43 fof(f376,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(inverse(X1),multiply(X0,X2)),X2))=X1)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f171,f375])).
% 0.13/0.43 fof(f378,plain,(
% 0.13/0.43 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f218,f376])).
% 0.13/0.43 fof(f381,plain,(
% 0.13/0.43 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f171,f363])).
% 0.13/0.43 fof(f387,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,double_divide(inverse(X1),X1)),X2)=double_divide(X2,X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f363,f156])).
% 0.13/0.43 fof(f394,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f363,f387])).
% 0.13/0.43 fof(f398,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(X0,multiply(X2,X1)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f156,f394])).
% 0.13/0.43 fof(f430,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),multiply(X2,X3)),multiply(X1,X0))=double_divide(X3,X2))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f398,f14])).
% 0.13/0.43 fof(f436,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4]: (double_divide(multiply(double_divide(X0,X1),inverse(X2)),multiply(X3,multiply(multiply(double_divide(X4,X3),multiply(X1,X0)),X4)))=X2)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f398,f23])).
% 0.13/0.43 fof(f440,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),X2),multiply(X1,X0))=double_divide(X3,double_divide(inverse(X2),X3)))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f398,f243])).
% 0.13/0.43 fof(f481,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),multiply(X2,X3)))=double_divide(X3,X2))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f398,f430])).
% 0.13/0.43 fof(f489,plain,(
% 0.13/0.43 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(multiply(X2,multiply(multiply(double_divide(X3,X2),multiply(X1,X0)),X3)),inverse(X4)))=X4)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f398,f436])).
% 0.13/0.43 fof(f490,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=X2)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f378,f489])).
% 0.13/0.43 fof(f496,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),X2))=double_divide(X3,double_divide(inverse(X2),X3)))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f398,f440])).
% 0.13/0.43 fof(f526,plain,(
% 0.13/0.43 ![X0,X1]: (X0=double_divide(inverse(X0),multiply(X1,inverse(X1))))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f224,f381])).
% 0.13/0.43 fof(f543,plain,(
% 0.13/0.43 ![X0,X1]: (X0=multiply(double_divide(inverse(X1),X1),X0))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f218,f526])).
% 0.13/0.43 fof(f559,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),X2)=double_divide(inverse(multiply(X1,X0)),X2))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f125,f481])).
% 0.13/0.43 fof(f575,plain,(
% 0.13/0.43 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=double_divide(inverse(multiply(X2,X3)),X3))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f159,f481])).
% 0.13/0.43 fof(f602,plain,(
% 0.13/0.43 ![X0,X1]: (X0=double_divide(inverse(multiply(X0,X1)),X1))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f490,f575])).
% 0.13/0.43 fof(f605,plain,(
% 0.13/0.43 ![X0,X1]: (X0=double_divide(double_divide(X1,X0),X1))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f559,f602])).
% 0.13/0.43 fof(f737,plain,(
% 0.13/0.43 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f605,f605])).
% 0.13/0.43 fof(f756,plain,(
% 0.13/0.43 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),X2))=inverse(X2))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f737,f496])).
% 0.13/0.43 fof(f777,plain,(
% 0.13/0.43 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f756,f490])).
% 0.13/0.43 fof(f869,plain,(
% 0.13/0.43 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(inverse(X1),X0))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f777,f171])).
% 0.13/0.43 fof(f882,plain,(
% 0.13/0.43 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f869,f543])).
% 0.13/0.43 fof(f906,plain,(
% 0.13/0.43 ~a2=a2),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f882,f6])).
% 0.13/0.43 fof(f913,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f906])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.075685 seconds
% 0.13/0.45 % CPU time: 0.441302 seconds
% 0.13/0.45 % Total memory used: 20.366 MB
% 0.13/0.45 % Net memory used: 19.991 MB
%------------------------------------------------------------------------------