%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO068-1 : 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 : n002.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 12:06:50 PM UTC 2026
% Result : Unsatisfiable 9.74s 1.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO068-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n002.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 13:53:47 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 9.74/1.71 % Refutation found
% 9.74/1.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.74/1.71 % SZS output start CNFRefutation for theBenchmark
% 9.74/1.71 fof(f1,axiom,(
% 9.74/1.71 (![A,B,C,D,E,F,G]: (multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ))),
% 9.74/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.74/1.71 fof(f2,negated_conjecture,(
% 9.74/1.71 multiply(b,a,a) != a ),
% 9.74/1.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.74/1.71 fof(f3,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2))=X1)),
% 9.74/1.71 inference(cnf_transformation,[status(thm)],[f1])).
% 9.74/1.71 fof(f4,plain,(
% 9.74/1.71 ~multiply(b,a,a)=a),
% 9.74/1.71 inference(cnf_transformation,[status(thm)],[f2])).
% 9.74/1.71 fof(f5,definition,(
% 9.74/1.71 sF0_fnc=multiply(b,a,a)),
% 9.74/1.71 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 9.74/1.71 fof(f6,plain,(
% 9.74/1.71 ~sF0_fnc=a),
% 9.74/1.71 inference(definition_folding,[],[f4,f5])).
% 9.74/1.71 fof(f7,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3))=multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0))),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f3,f3])).
% 9.74/1.71 fof(f12,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,multiply(X4,multiply(X5,X6,X7),X8)),inverse(multiply(multiply(X8,X4,X7),X6,multiply(X8,X4,X5))),multiply(X2,X3,multiply(X9,inverse(X9),X10)))),multiply(X3,X10,X2))=X1)),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f3,f3])).
% 9.74/1.71 fof(f32,plain,(
% 9.74/1.71 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),X1))),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f3,f7])).
% 9.74/1.71 fof(f98,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X2,inverse(X2),X3)),multiply(X2,inverse(X2),X4))),X4)=X1)),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f32,f3])).
% 9.74/1.71 fof(f1344,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5)),inverse(multiply(X2,inverse(X2),X6)),X6),X2)),multiply(inverse(X3),X5,X3))=X1)),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f98,f12])).
% 9.74/1.71 fof(f1530,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2))=X1)),
% 9.74/1.71 inference(forward_demodulation,[status(thm)],[f32,f1344])).
% 9.74/1.71 fof(f1564,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2))=multiply(inverse(X5),X1,X5))),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f1530,f1530])).
% 9.74/1.71 fof(f1654,plain,(
% 9.74/1.71 ![X0,X1]: (X0=multiply(inverse(X1),X0,X1))),
% 9.74/1.71 inference(forward_demodulation,[status(thm)],[f1530,f1564])).
% 9.74/1.71 fof(f1694,plain,(
% 9.74/1.71 ![X0,X1,X2]: (X0=multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2))),
% 9.74/1.71 inference(backward_demodulation,[status(thm)],[f1654,f32])).
% 9.74/1.71 fof(f2208,plain,(
% 9.74/1.71 ![X0,X1]: (inverse(X0)=inverse(multiply(X1,inverse(X1),X0)))),
% 9.74/1.71 inference(paramodulation,[status(thm)],[f1654,f1694])).
% 9.74/1.71 fof(f2345,plain,(
% 9.74/1.71 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),X3)),X3)=X1)),
% 9.74/1.71 inference(backward_demodulation,[status(thm)],[f2208,f98])).
% 9.74/1.71 fof(f2347,plain,(
% 9.74/1.71 ![X0,X1]: (X0=multiply(X0,inverse(X1),X1))),
% 9.74/1.71 inference(backward_demodulation,[status(thm)],[f2208,f1694])).
% 9.74/1.71 fof(f2394,plain,(
% 9.74/1.71 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0),X1),inverse(X2),X2)=X1)),
% 9.74/1.71 inference(forward_demodulation,[status(thm)],[f2208,f2345])).
% 9.74/1.71 fof(f3208,plain,(
% 9.74/1.71 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1))=X0)),
% 9.74/1.71 inference(backward_demodulation,[status(thm)],[f3209,f3])).
% 9.74/1.71 fof(f3209,plain,(
% 9.74/1.71 ![X0,X1]: (multiply(X0,inverse(X0),X1)=X1)),
% 9.74/1.71 inference(forward_demodulation,[status(thm)],[f2347,f2394])).
% 9.74/1.72 fof(f3211,plain,(
% 9.74/1.72 ![X0]: (inverse(inverse(X0))=X0)),
% 9.74/1.72 inference(paramodulation,[status(thm)],[f1654,f3209])).
% 9.74/1.72 fof(f3301,plain,(
% 9.74/1.72 ![X0,X1]: (multiply(inverse(X0),X0,X1)=X1)),
% 9.74/1.72 inference(paramodulation,[status(thm)],[f3211,f3209])).
% 9.74/1.72 fof(f3303,plain,(
% 9.74/1.72 ![X0,X1]: (X0=multiply(X1,X0,inverse(X1)))),
% 9.74/1.72 inference(paramodulation,[status(thm)],[f3211,f1654])).
% 9.74/1.72 fof(f3305,plain,(
% 9.74/1.72 ![X0,X1,X2,X3]: (multiply(X0,X1,X2)=multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0))),
% 9.74/1.72 inference(backward_demodulation,[status(thm)],[f3208,f7])).
% 9.74/1.72 fof(f6093,plain,(
% 9.74/1.72 ![X0,X1,X2]: (multiply(X0,X1,inverse(inverse(multiply(X0,X1,X2))))=multiply(X1,X2,X0))),
% 9.74/1.72 inference(paramodulation,[status(thm)],[f3301,f3305])).
% 9.74/1.72 fof(f6200,plain,(
% 9.74/1.72 ![X0,X1,X2]: (multiply(X0,X1,multiply(X0,X1,X2))=multiply(X1,X2,X0))),
% 9.74/1.72 inference(forward_demodulation,[status(thm)],[f3211,f6093])).
% 9.74/1.72 fof(f6269,plain,(
% 9.74/1.72 ![X0,X1]: (multiply(X0,X1,X1)=multiply(X1,inverse(X0),X0))),
% 9.74/1.72 inference(paramodulation,[status(thm)],[f3303,f6200])).
% 9.74/1.72 fof(f6339,plain,(
% 9.74/1.72 ![X0,X1]: (multiply(X0,X1,X1)=X1)),
% 9.74/1.72 inference(forward_demodulation,[status(thm)],[f2347,f6269])).
% 9.74/1.72 fof(f6354,plain,(
% 9.74/1.72 sF0_fnc=a),
% 9.74/1.72 inference(backward_demodulation,[status(thm)],[f6339,f5])).
% 9.74/1.72 fof(f6437,plain,(
% 9.74/1.72 $false),
% 9.74/1.72 inference(forward_subsumption_resolution,[status(thm)],[f6354,f6])).
% 9.74/1.72 % SZS output end CNFRefutation for theBenchmark.p
% 9.74/1.77 % Elapsed time: 1.302854 seconds
% 9.74/1.77 % CPU time: 10.088187 seconds
% 9.74/1.77 % Total memory used: 243.153 MB
% 9.74/1.77 % Net memory used: 239.928 MB
%------------------------------------------------------------------------------