%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO069-1 : 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 12:06:50 PM UTC 2026
% Result : Unsatisfiable 8.48s 1.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO069-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 13:57:44 UTC 2026
% 0.19/0.42 % CPUTime :
% 0.19/0.42 % Drodi V4.1.1
% 8.48/1.59 % Refutation found
% 8.48/1.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.48/1.59 % SZS output start CNFRefutation for theBenchmark
% 8.48/1.59 fof(f1,axiom,(
% 8.48/1.59 (![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 ))),
% 8.48/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.48/1.59 fof(f2,negated_conjecture,(
% 8.48/1.59 multiply(a,b,inverse(b)) != a ),
% 8.48/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.48/1.59 fof(f3,plain,(
% 8.48/1.59 ![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)),
% 8.48/1.59 inference(cnf_transformation,[status(thm)],[f1])).
% 8.48/1.59 fof(f4,plain,(
% 8.48/1.59 ~multiply(a,b,inverse(b))=a),
% 8.48/1.59 inference(cnf_transformation,[status(thm)],[f2])).
% 8.48/1.59 fof(f8,plain,(
% 8.48/1.59 ![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))),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f3,f3])).
% 8.48/1.59 fof(f11,plain,(
% 8.48/1.59 ![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)),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f3,f3])).
% 8.48/1.59 fof(f12,plain,(
% 8.48/1.59 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),X1))),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f3,f8])).
% 8.48/1.59 fof(f49,plain,(
% 8.48/1.59 ![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)),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f12,f3])).
% 8.48/1.59 fof(f1238,plain,(
% 8.48/1.59 ![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)),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f49,f11])).
% 8.48/1.59 fof(f1410,plain,(
% 8.48/1.59 ![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)),
% 8.48/1.59 inference(forward_demodulation,[status(thm)],[f12,f1238])).
% 8.48/1.59 fof(f1439,plain,(
% 8.48/1.59 ![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))),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f1410,f1410])).
% 8.48/1.59 fof(f1540,plain,(
% 8.48/1.59 ![X0,X1]: (X0=multiply(inverse(X1),X0,X1))),
% 8.48/1.59 inference(forward_demodulation,[status(thm)],[f1410,f1439])).
% 8.48/1.59 fof(f1589,plain,(
% 8.48/1.59 ![X0,X1,X2]: (X0=multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2))),
% 8.48/1.59 inference(backward_demodulation,[status(thm)],[f1540,f12])).
% 8.48/1.59 fof(f2188,plain,(
% 8.48/1.59 ![X0,X1]: (inverse(X0)=inverse(multiply(X1,inverse(X1),X0)))),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f1540,f1589])).
% 8.48/1.59 fof(f2348,plain,(
% 8.48/1.59 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),X3)),X3)=X1)),
% 8.48/1.59 inference(backward_demodulation,[status(thm)],[f2188,f49])).
% 8.48/1.59 fof(f2352,plain,(
% 8.48/1.59 ![X0,X1]: (X0=multiply(X0,inverse(X1),X1))),
% 8.48/1.59 inference(backward_demodulation,[status(thm)],[f2188,f1589])).
% 8.48/1.59 fof(f2389,plain,(
% 8.48/1.59 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0),X1),inverse(X2),X2)=X1)),
% 8.48/1.59 inference(forward_demodulation,[status(thm)],[f2188,f2348])).
% 8.48/1.59 fof(f4062,plain,(
% 8.48/1.59 ![X0,X1]: (multiply(X0,inverse(X0),X1)=X1)),
% 8.48/1.59 inference(forward_demodulation,[status(thm)],[f2352,f2389])).
% 8.48/1.59 fof(f4064,plain,(
% 8.48/1.59 ![X0]: (inverse(inverse(X0))=X0)),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f1540,f4062])).
% 8.48/1.59 fof(f4232,plain,(
% 8.48/1.59 ![X0,X1]: (X0=multiply(X0,X1,inverse(X1)))),
% 8.48/1.59 inference(paramodulation,[status(thm)],[f4064,f2352])).
% 8.48/1.59 fof(f4353,plain,(
% 8.48/1.59 ~a=a),
% 8.48/1.59 inference(backward_demodulation,[status(thm)],[f4232,f4])).
% 8.48/1.59 fof(f4376,plain,(
% 8.48/1.59 $false),
% 8.48/1.59 inference(trivial_equality_resolution,[status(thm)],[f4353])).
% 8.48/1.61 % SZS output end CNFRefutation for theBenchmark.p
% 8.48/1.67 % Elapsed time: 1.235445 seconds
% 8.48/1.67 % CPU time: 9.490612 seconds
% 8.48/1.67 % Total memory used: 195.931 MB
% 8.48/1.67 % Net memory used: 194.353 MB
%------------------------------------------------------------------------------