%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP424-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:36:36 PM UTC 2026
% Result : Unsatisfiable 1.27s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP424-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:15:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 1.27/0.70 % Refutation found
% 1.27/0.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.27/0.70 % SZS output start CNFRefutation for theBenchmark
% 1.27/0.70 fof(f1,axiom,(
% 1.27/0.70 (![A,B,C]: (multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B ))),
% 1.27/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.27/0.70 fof(f2,negated_conjecture,(
% 1.27/0.70 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 1.27/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.27/0.70 fof(f3,plain,(
% 1.27/0.70 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))=X1)),
% 1.27/0.70 inference(cnf_transformation,[status(thm)],[f1])).
% 1.27/0.70 fof(f4,plain,(
% 1.27/0.70 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 1.27/0.70 inference(cnf_transformation,[status(thm)],[f2])).
% 1.27/0.70 fof(f11,plain,(
% 1.27/0.70 ![X0,X1,X2,X3]: (multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))=multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f3,f3])).
% 1.27/0.70 fof(f12,plain,(
% 1.27/0.70 ![X0,X1,X2,X3]: (multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))=X3)),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f3,f3])).
% 1.27/0.70 fof(f58,plain,(
% 1.27/0.70 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X1,inverse(X2))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f3,f11])).
% 1.27/0.70 fof(f59,plain,(
% 1.27/0.70 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))=multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f11,f11])).
% 1.27/0.70 fof(f143,plain,(
% 1.27/0.70 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))=multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X2,inverse(X3)))))),multiply(X4,inverse(multiply(X2,inverse(X3))))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f58,f59])).
% 1.27/0.70 fof(f205,plain,(
% 1.27/0.70 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))=multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))))),
% 1.27/0.70 inference(forward_demodulation,[status(thm)],[f58,f143])).
% 1.27/0.70 fof(f228,plain,(
% 1.27/0.70 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))=multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X6)))),multiply(X4,inverse(X6)))),inverse(multiply(inverse(X2),multiply(inverse(X6),X6))))),X5)),inverse(multiply(inverse(multiply(inverse(X6),X6)),multiply(inverse(X6),X6))))))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f12,f205])).
% 1.27/0.70 fof(f309,plain,(
% 1.27/0.70 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))=multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))))),
% 1.27/0.70 inference(forward_demodulation,[status(thm)],[f12,f228])).
% 1.27/0.70 fof(f322,plain,(
% 1.27/0.70 ![X0,X1,X2,X3,X4]: (multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3)))=multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f3,f309])).
% 1.27/0.70 fof(f783,plain,(
% 1.27/0.70 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f3,f322])).
% 1.27/0.70 fof(f944,plain,(
% 1.27/0.70 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 1.27/0.70 inference(paramodulation,[status(thm)],[f783,f783])).
% 1.27/0.70 fof(f1123,plain,(
% 1.27/0.70 $false),
% 1.27/0.70 inference(backward_subsumption_resolution,[status(thm)],[f4,f944])).
% 1.27/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 2.13/0.75 % Elapsed time: 0.381248 seconds
% 2.13/0.75 % CPU time: 2.697833 seconds
% 2.13/0.75 % Total memory used: 133.528 MB
% 2.13/0.75 % Net memory used: 133.296 MB
%------------------------------------------------------------------------------