%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO071-1 : 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 : n011.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 6.92s 1.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO071-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n011.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 13:51:55 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 6.92/1.52 % Refutation found
% 6.92/1.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.92/1.52 % SZS output start CNFRefutation for theBenchmark
% 6.92/1.52 fof(f1,axiom,(
% 6.92/1.52 (![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 ))),
% 6.92/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.92/1.52 fof(f2,negated_conjecture,(
% 6.92/1.52 multiply(inverse(b),b,a) != a ),
% 6.92/1.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.92/1.52 fof(f3,plain,(
% 6.92/1.52 ![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)),
% 6.92/1.52 inference(cnf_transformation,[status(thm)],[f1])).
% 6.92/1.52 fof(f4,plain,(
% 6.92/1.52 ~multiply(inverse(b),b,a)=a),
% 6.92/1.52 inference(cnf_transformation,[status(thm)],[f2])).
% 6.92/1.52 fof(f5,definition,(
% 6.92/1.52 sF1_fnc=inverse(b)),
% 6.92/1.52 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 6.92/1.52 fof(f6,definition,(
% 6.92/1.52 sF0_fnc=multiply(sF1_fnc,b,a)),
% 6.92/1.52 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 6.92/1.52 fof(f7,plain,(
% 6.92/1.52 ~sF0_fnc=a),
% 6.92/1.52 inference(definition_folding,[],[f4,f6,f5])).
% 6.92/1.52 fof(f8,plain,(
% 6.92/1.52 ![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))),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f3,f3])).
% 6.92/1.52 fof(f9,plain,(
% 6.92/1.52 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(b,sF1_fnc,X0),inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1))=X0)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f5,f3])).
% 6.92/1.52 fof(f14,plain,(
% 6.92/1.52 ![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)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f3,f3])).
% 6.92/1.52 fof(f26,plain,(
% 6.92/1.52 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),X1))),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f3,f8])).
% 6.92/1.52 fof(f78,plain,(
% 6.92/1.52 ![X0,X1]: (X0=multiply(sF1_fnc,multiply(X0,inverse(multiply(b,inverse(b),X1)),X1),b))),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f5,f26])).
% 6.92/1.52 fof(f97,plain,(
% 6.92/1.52 ![X0,X1]: (X0=multiply(sF1_fnc,multiply(X0,inverse(multiply(b,sF1_fnc,X1)),X1),b))),
% 6.92/1.52 inference(forward_demodulation,[status(thm)],[f5,f78])).
% 6.92/1.52 fof(f102,plain,(
% 6.92/1.52 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(b,sF1_fnc,X2),inverse(multiply(b,sF1_fnc,X2)),multiply(b,sF1_fnc,X3))),X3)=X1)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f97,f3])).
% 6.92/1.52 fof(f156,plain,(
% 6.92/1.52 ![X0,X1,X2]: (multiply(multiply(b,sF1_fnc,X0),inverse(multiply(multiply(b,sF1_fnc,X1),inverse(multiply(b,sF1_fnc,X1)),multiply(b,sF1_fnc,X2))),X2)=X0)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f97,f9])).
% 6.92/1.52 fof(f1450,plain,(
% 6.92/1.52 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1_fnc,multiply(multiply(b,sF1_fnc,multiply(X2,inverse(X2),X3)),inverse(multiply(b,sF1_fnc,X4)),X4),b)),multiply(sF1_fnc,X3,b))=X1)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f156,f14])).
% 6.92/1.52 fof(f1658,plain,(
% 6.92/1.52 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(b,sF1_fnc,multiply(X2,inverse(X2),X3))),multiply(sF1_fnc,X3,b))=X1)),
% 6.92/1.52 inference(forward_demodulation,[status(thm)],[f97,f1450])).
% 6.92/1.52 fof(f1703,plain,(
% 6.92/1.52 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(b,sF1_fnc,multiply(b,sF1_fnc,X2))),multiply(sF1_fnc,X2,b))=X1)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f102,f1658])).
% 6.92/1.52 fof(f1773,plain,(
% 6.92/1.52 ![X0,X1]: (multiply(multiply(b,sF1_fnc,X0),inverse(multiply(b,sF1_fnc,multiply(b,sF1_fnc,X1))),multiply(sF1_fnc,X1,b))=X0)),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f102,f1703])).
% 6.92/1.52 fof(f1843,plain,(
% 6.92/1.52 ![X0,X1]: (multiply(multiply(b,sF1_fnc,X0),inverse(multiply(b,sF1_fnc,multiply(b,sF1_fnc,X1))),multiply(sF1_fnc,X1,b))=multiply(sF1_fnc,X0,b))),
% 6.92/1.52 inference(paramodulation,[status(thm)],[f1773,f1703])).
% 6.92/1.55 fof(f1898,plain,(
% 6.92/1.55 ![X0]: (X0=multiply(sF1_fnc,X0,b))),
% 6.92/1.55 inference(forward_demodulation,[status(thm)],[f1773,f1843])).
% 6.92/1.55 fof(f1920,plain,(
% 6.92/1.55 ![X0,X1]: (X0=multiply(X0,inverse(multiply(b,sF1_fnc,X1)),X1))),
% 6.92/1.55 inference(backward_demodulation,[status(thm)],[f1898,f97])).
% 6.92/1.55 fof(f2479,plain,(
% 6.92/1.55 ![X0,X1]: (X0=multiply(inverse(multiply(b,sF1_fnc,X1)),multiply(X0,inverse(multiply(b,sF1_fnc,X1)),X1),multiply(b,sF1_fnc,X1)))),
% 6.92/1.55 inference(paramodulation,[status(thm)],[f1920,f26])).
% 6.92/1.55 fof(f2544,plain,(
% 6.92/1.55 ![X0,X1]: (X0=multiply(inverse(multiply(b,sF1_fnc,X1)),X0,multiply(b,sF1_fnc,X1)))),
% 6.92/1.55 inference(forward_demodulation,[status(thm)],[f1920,f2479])).
% 6.92/1.55 fof(f4074,plain,(
% 6.92/1.55 ![X0]: (inverse(multiply(b,sF1_fnc,multiply(b,sF1_fnc,X0)))=inverse(multiply(b,sF1_fnc,X0)))),
% 6.92/1.55 inference(paramodulation,[status(thm)],[f1920,f2544])).
% 6.92/1.55 fof(f4206,plain,(
% 6.92/1.55 ![X0,X1]: (X0=multiply(X0,inverse(multiply(b,sF1_fnc,X1)),multiply(b,sF1_fnc,X1)))),
% 6.92/1.55 inference(paramodulation,[status(thm)],[f4074,f1920])).
% 6.92/1.55 fof(f4285,plain,(
% 6.92/1.55 ![X0,X1]: (multiply(multiply(b,sF1_fnc,X0),inverse(multiply(b,sF1_fnc,X1)),X1)=X0)),
% 6.92/1.55 inference(paramodulation,[status(thm)],[f4206,f156])).
% 6.92/1.55 fof(f4363,plain,(
% 6.92/1.55 ![X0]: (multiply(b,sF1_fnc,X0)=X0)),
% 6.92/1.55 inference(forward_demodulation,[status(thm)],[f1920,f4285])).
% 6.92/1.55 fof(f4421,plain,(
% 6.92/1.55 ![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)),
% 6.92/1.55 inference(backward_demodulation,[status(thm)],[f4363,f9])).
% 6.92/1.55 fof(f4625,plain,(
% 6.92/1.55 ![X0,X1]: (multiply(X0,inverse(X0),X1)=X1)),
% 6.92/1.55 inference(backward_demodulation,[status(thm)],[f4421,f3])).
% 6.92/1.55 fof(f4831,plain,(
% 6.92/1.55 inverse(sF1_fnc)=b),
% 6.92/1.55 inference(paramodulation,[status(thm)],[f1898,f4625])).
% 6.92/1.55 fof(f4876,plain,(
% 6.92/1.55 ![X0]: (multiply(sF1_fnc,b,X0)=X0)),
% 6.92/1.55 inference(paramodulation,[status(thm)],[f4831,f4625])).
% 6.92/1.55 fof(f4953,plain,(
% 6.92/1.55 sF0_fnc=a),
% 6.92/1.55 inference(backward_demodulation,[status(thm)],[f4876,f6])).
% 6.92/1.55 fof(f4962,plain,(
% 6.92/1.55 $false),
% 6.92/1.55 inference(forward_subsumption_resolution,[status(thm)],[f4953,f7])).
% 6.92/1.55 % SZS output end CNFRefutation for theBenchmark.p
% 6.92/1.59 % Elapsed time: 1.147621 seconds
% 6.92/1.59 % CPU time: 8.810036 seconds
% 6.92/1.59 % Total memory used: 195.534 MB
% 6.92/1.59 % Net memory used: 193.934 MB
%------------------------------------------------------------------------------