%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP409-1 : 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 : n026.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 12:36:35 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP409-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:15:22 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.50 fof(f1,axiom,(
% 0.12/0.50 (![A,B,C]: (multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))) = B ))),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f2,negated_conjecture,(
% 0.12/0.50 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.12/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.50 fof(f3,plain,(
% 0.12/0.50 ![X0,X1,X2]: (multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2)))=X1)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.50 fof(f4,plain,(
% 0.12/0.50 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.50 fof(f11,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (multiply(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(X1,X2)))),multiply(X3,inverse(X2))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.12/0.50 fof(f12,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))=X3)),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.12/0.50 fof(f58,plain,(
% 0.12/0.50 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,inverse(multiply(multiply(X0,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X1,inverse(X2))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f3,f11])).
% 0.12/0.50 fof(f59,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2)))=multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.12/0.50 fof(f138,plain,(
% 0.12/0.50 ![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(multiply(X1,inverse(multiply(inverse(X3),X3))),X3)))),multiply(X2,inverse(X3)))))),multiply(X4,inverse(multiply(X2,inverse(X3))))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f58,f59])).
% 0.12/0.50 fof(f201,plain,(
% 0.12/0.50 ![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))))))),
% 0.12/0.50 inference(forward_demodulation,[status(thm)],[f58,f138])).
% 0.12/0.50 fof(f229,plain,(
% 0.12/0.50 ![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(multiply(inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X5,X6)))),multiply(X4,inverse(X6))),inverse(multiply(X2,multiply(inverse(X6),X6))))),X5),inverse(multiply(inverse(multiply(inverse(X6),X6)),multiply(inverse(X6),X6))))))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f12,f201])).
% 0.12/0.50 fof(f308,plain,(
% 0.12/0.50 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))=multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))))),
% 0.12/0.50 inference(forward_demodulation,[status(thm)],[f12,f229])).
% 0.12/0.50 fof(f321,plain,(
% 0.12/0.50 ![X0,X1,X2,X3,X4]: (multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X3)))=multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f3,f308])).
% 0.12/0.50 fof(f770,plain,(
% 0.12/0.50 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f3,f321])).
% 0.12/0.50 fof(f929,plain,(
% 0.12/0.50 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.12/0.50 inference(paramodulation,[status(thm)],[f770,f770])).
% 0.12/0.50 fof(f1108,plain,(
% 0.12/0.50 $false),
% 0.12/0.50 inference(backward_subsumption_resolution,[status(thm)],[f4,f929])).
% 0.12/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.74/0.52 % Elapsed time: 0.164857 seconds
% 0.74/0.52 % CPU time: 1.134342 seconds
% 0.74/0.52 % Total memory used: 82.319 MB
% 0.74/0.52 % Net memory used: 81.863 MB
%------------------------------------------------------------------------------