%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP096-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:35:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP096-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 19:59:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X,Y,Z]: (divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = Y ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X,Y]: (multiply(X,Y) = divide(X,inverse(Y)) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,negated_conjecture,(
% 0.13/0.41 ( 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) ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f4,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2)=X1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f5,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f6,plain,(
% 0.13/0.41 ~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)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f7,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(multiply(X0,divide(X1,divide(X0,X2))),X2)=X1)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.41 fof(f8,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2)=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f5,f7])).
% 0.13/0.41 fof(f9,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,divide(X0,X2)))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.13/0.41 fof(f10,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2)=X3)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.13/0.41 fof(f13,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2)=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f5,f8])).
% 0.13/0.41 fof(f16,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.13/0.41 fof(f22,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.13/0.41 fof(f28,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2)))=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f5,f22])).
% 0.13/0.41 fof(f39,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f5,f28])).
% 0.13/0.41 fof(f48,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),multiply(X1,X2)))=X2)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f39,f22])).
% 0.13/0.41 fof(f59,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X3))=multiply(X1,divide(X2,X3)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f48,f9])).
% 0.13/0.41 fof(f60,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f48,f7])).
% 0.13/0.41 fof(f65,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f59,f60])).
% 0.13/0.41 fof(f66,plain,(
% 0.13/0.41 ![X0,X1,X2]: (X0=multiply(X1,divide(X0,multiply(X1,divide(X2,X2)))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f13,f65])).
% 0.13/0.41 fof(f73,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),X1))=divide(X2,X2))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f65,f48])).
% 0.13/0.41 fof(f77,plain,(
% 0.13/0.41 ![X0,X1]: (X0=multiply(X1,divide(X0,X1)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f65,f66])).
% 0.13/0.41 fof(f94,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),X3),X2)=multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X3,X5)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.13/0.41 fof(f99,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1),X2)=multiply(multiply(X3,divide(X4,divide(X3,multiply(X0,X2)))),divide(X1,X4)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f10,f13])).
% 0.13/0.41 fof(f118,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(multiply(multiply(X0,X3),X2),divide(X1,X3)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f16,f99])).
% 0.13/0.41 fof(f127,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(divide(X0,X2),X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f22,f77])).
% 0.13/0.41 fof(f129,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(X0,divide(X1,divide(X0,X2)))=multiply(X2,X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f7,f77])).
% 0.13/0.41 fof(f131,plain,(
% 0.13/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X0,X1)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f5,f77])).
% 0.13/0.41 fof(f133,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),X2))=divide(X2,X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f77,f48])).
% 0.13/0.41 fof(f139,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(X0,multiply(divide(X1,multiply(X1,X2)),X0))=X2)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f127,f48])).
% 0.13/0.41 fof(f155,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5]: (multiply(divide(multiply(X0,divide(X1,divide(X0,X2))),X2),X3)=multiply(multiply(X4,divide(X5,divide(X4,X1))),divide(X3,X5)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f127,f94])).
% 0.13/0.41 fof(f160,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(divide(multiply(X0,X1),multiply(X0,X2)),X3)=multiply(X1,divide(X3,X2)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f127,f59])).
% 0.13/0.41 fof(f169,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(X0,multiply(divide(X1,X1),X0))=divide(X2,X2))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f127,f73])).
% 0.13/0.41 fof(f177,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(X0,multiply(divide(X1,X2),X0))=divide(X2,X1))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f127,f133])).
% 0.13/0.41 fof(f180,plain,(
% 0.13/0.41 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f177,f139])).
% 0.13/0.41 fof(f181,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f127,f180])).
% 0.13/0.41 fof(f204,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(X0,X1)=multiply(multiply(X2,divide(X3,divide(X2,X0))),divide(X1,X3)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f7,f155])).
% 0.13/0.41 fof(f205,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X0,X2),divide(X1,X2)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f129,f204])).
% 0.13/0.41 fof(f213,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(multiply(divide(X0,multiply(X0,X1)),X2),X3)=multiply(X2,divide(X3,X1)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f127,f160])).
% 0.13/0.41 fof(f231,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f177,f169])).
% 0.13/0.41 fof(f241,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f5,f181])).
% 0.13/0.41 fof(f242,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(divide(X0,multiply(divide(X1,X1),X2)),X2)=X0)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f181,f13])).
% 0.13/0.41 fof(f246,plain,(
% 0.13/0.41 ~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)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f241,f6])).
% 0.13/0.41 fof(f248,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f181,f242])).
% 0.13/0.41 fof(f250,plain,(
% 0.13/0.41 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f246])).
% 0.13/0.41 fof(f281,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f5,f248])).
% 0.13/0.41 fof(f300,plain,(
% 0.13/0.41 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f131,f131])).
% 0.13/0.41 fof(f301,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,X1)=multiply(inverse(X1),X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f248,f131])).
% 0.13/0.41 fof(f309,plain,(
% 0.13/0.41 ~multiply(inverse(a1),a1)=divide(b1,b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f301,f250])).
% 0.13/0.41 fof(f312,plain,(
% 0.13/0.41 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X1,X0)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f301,f300])).
% 0.13/0.41 fof(f329,plain,(
% 0.13/0.41 ~divide(a1,a1)=divide(b1,b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f301,f309])).
% 0.13/0.41 fof(f330,plain,(
% 0.13/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f329,f231])).
% 0.13/0.41 fof(f333,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),X2)=multiply(X1,divide(X2,X0)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f312,f213])).
% 0.13/0.41 fof(f356,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(X0,divide(X1,X2)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f357,f127])).
% 0.13/0.41 fof(f357,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,divide(X2,X1)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f301,f333])).
% 0.13/0.41 fof(f427,plain,(
% 0.13/0.41 ![X0,X1]: (inverse(inverse(X0))=divide(multiply(X1,X0),X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f281,f312])).
% 0.13/0.41 fof(f433,plain,(
% 0.13/0.41 ![X0,X1]: (inverse(inverse(X0))=multiply(X1,divide(X0,X1)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f356,f427])).
% 0.13/0.41 fof(f435,plain,(
% 0.13/0.41 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f77,f433])).
% 0.13/0.41 fof(f475,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,inverse(X1))=multiply(X1,X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f435,f301])).
% 0.13/0.41 fof(f569,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f5,f475])).
% 0.13/0.41 fof(f584,plain,(
% 0.13/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.41 inference(backward_subsumption_resolution,[status(thm)],[f330,f569])).
% 0.13/0.41 fof(f598,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(divide(X1,X3),multiply(multiply(X0,X3),X2)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f118,f569])).
% 0.13/0.41 fof(f607,plain,(
% 0.13/0.41 ~multiply(multiply(b3,a3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f569,f584])).
% 0.13/0.41 fof(f623,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X1,divide(multiply(multiply(X0,X3),X2),X3)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f357,f598])).
% 0.13/0.41 fof(f624,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(multiply(X0,X3),divide(X2,X3))))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f356,f623])).
% 0.13/0.41 fof(f641,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(X0,X2)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f205,f624])).
% 0.13/0.41 fof(f647,plain,(
% 0.13/0.41 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f641,f607])).
% 0.13/0.41 fof(f648,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f647])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.068795 seconds
% 0.13/0.44 % CPU time: 0.328187 seconds
% 0.13/0.44 % Total memory used: 71.083 MB
% 0.13/0.44 % Net memory used: 70.411 MB
%------------------------------------------------------------------------------