%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP608-1 : 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 : n003.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 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP608-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:19:30 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![A,B,C]: (double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,negated_conjecture,(
% 0.09/0.37 multiply(a,b) != multiply(b,a) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2)=X1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f5,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f6,plain,(
% 0.09/0.37 ~multiply(a,b)=multiply(b,a)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f7,definition,(
% 0.09/0.37 sF0_fnc=multiply(a,b)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.37 fof(f8,definition,(
% 0.09/0.37 sF1_fnc=multiply(b,a)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ~sF0_fnc=sF1_fnc),
% 0.09/0.37 inference(definition_folding,[],[f6,f8,f7])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1)=X2)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1)=X2)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3)=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1)=double_divide(X3,X2))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f5,f11])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1))=inverse(X2))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f11,f5])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(inverse(X0),multiply(X0,inverse(X1)))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f14,f12])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f18,f5])).
% 0.09/0.37 fof(f35,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1))=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f31,f18])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(inverse(inverse(X0)),inverse(X1))=multiply(X1,inverse(X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f31,f35])).
% 0.09/0.37 fof(f47,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),inverse(X2))=multiply(X2,inverse(double_divide(X1,X0))))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f5,f38])).
% 0.09/0.37 fof(f53,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f54,f35])).
% 0.09/0.37 fof(f54,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),inverse(X2))=multiply(X2,multiply(X0,X1)))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f5,f47])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 ![X0,X1]: (inverse(X0)=multiply(double_divide(inverse(X1),X1),inverse(X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f14,f53])).
% 0.09/0.37 fof(f65,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f55,f11])).
% 0.09/0.37 fof(f67,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(X0),inverse(double_divide(inverse(X1),X1)))=inverse(X0))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f55,f31])).
% 0.09/0.37 fof(f68,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f55,f18])).
% 0.09/0.37 fof(f71,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(X0),multiply(X1,inverse(X1)))=inverse(X0))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f5,f67])).
% 0.09/0.37 fof(f72,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(multiply(X0,inverse(X0)),inverse(X1))=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f5,f68])).
% 0.09/0.37 fof(f83,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(multiply(multiply(double_divide(X0,X1),sF1_fnc),X0),X1)=double_divide(a,b))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f13])).
% 0.09/0.37 fof(f84,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(multiply(multiply(double_divide(X0,X1),sF0_fnc),X0),X1)=double_divide(b,a))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.09/0.37 fof(f86,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1)=double_divide(multiply(X2,inverse(X3)),X3))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f53,f13])).
% 0.09/0.37 fof(f96,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,X1),inverse(X2)),X2)=double_divide(X1,X0))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f5,f65])).
% 0.09/0.37 fof(f126,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(X2,inverse(X2))),inverse(X0))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f72,f11])).
% 0.09/0.37 fof(f148,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(X2)))=inverse(double_divide(X1,X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f5,f71])).
% 0.09/0.37 fof(f154,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(multiply(X0,inverse(X1)),inverse(X0))=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f157,f126])).
% 0.09/0.37 fof(f157,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(X2)))=multiply(X0,X1))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f5,f148])).
% 0.09/0.37 fof(f160,plain,(
% 0.09/0.37 ![X0]: (X0=inverse(inverse(X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f65,f154])).
% 0.09/0.37 fof(f173,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(X1,inverse(X0)))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f160,f38])).
% 0.09/0.37 fof(f181,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X0)=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f173,f65])).
% 0.09/0.37 fof(f187,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(double_divide(X0,inverse(X1)),inverse(X1))=X0)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f173,f154])).
% 0.09/0.37 fof(f223,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(multiply(X1,X2))),X0)=double_divide(X2,X1))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f173,f96])).
% 0.09/0.37 fof(f233,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1)=double_divide(double_divide(X3,inverse(X2)),X3))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f173,f86])).
% 0.09/0.37 fof(f249,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f160,f181])).
% 0.09/0.37 fof(f328,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(X2))=multiply(X2,multiply(X1,X0)))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f329,f54])).
% 0.09/0.37 fof(f329,plain,(
% 0.09/0.37 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f249,f223])).
% 0.09/0.37 fof(f337,plain,(
% 0.09/0.37 inverse(sF0_fnc)=double_divide(b,a)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f339,f84])).
% 0.09/0.37 fof(f338,plain,(
% 0.09/0.37 inverse(sF1_fnc)=double_divide(a,b)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f339,f83])).
% 0.09/0.37 fof(f339,plain,(
% 0.09/0.37 ![X0,X1,X2]: (double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1)=inverse(X2))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f249,f233])).
% 0.09/0.37 fof(f343,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f328,f187])).
% 0.09/0.37 fof(f408,plain,(
% 0.09/0.37 double_divide(inverse(sF1_fnc),a)=b),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f338,f249])).
% 0.09/0.37 fof(f462,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f160,f343])).
% 0.09/0.37 fof(f641,plain,(
% 0.09/0.37 ![X0,X1]: (inverse(double_divide(X0,inverse(X1)))=double_divide(inverse(X0),X1))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f173,f329])).
% 0.09/0.37 fof(f655,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(inverse(multiply(X0,X1)),X0)=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f690,f462])).
% 0.09/0.37 fof(f690,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),X0))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f5,f641])).
% 0.09/0.37 fof(f693,plain,(
% 0.09/0.37 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f329,f655])).
% 0.09/0.37 fof(f716,plain,(
% 0.09/0.37 double_divide(b,a)=inverse(sF1_fnc)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f408,f693])).
% 0.09/0.37 fof(f735,plain,(
% 0.09/0.37 inverse(sF0_fnc)=inverse(sF1_fnc)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f337,f716])).
% 0.09/0.37 fof(f747,plain,(
% 0.09/0.37 sF1_fnc=inverse(inverse(sF0_fnc))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f735,f160])).
% 0.09/0.37 fof(f752,plain,(
% 0.09/0.37 sF1_fnc=sF0_fnc),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f160,f747])).
% 0.09/0.37 fof(f753,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f752,f9])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.045438 seconds
% 0.12/0.40 % CPU time: 0.101664 seconds
% 0.12/0.40 % Total memory used: 5.366 MB
% 0.12/0.40 % Net memory used: 5.248 MB
%------------------------------------------------------------------------------