%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP415-1 : 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 : n003.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 102.23s 15.26s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP415-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:14:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 102.23/15.26 % Refutation found
% 102.23/15.26 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 102.23/15.26 % SZS output start CNFRefutation for theBenchmark
% 102.23/15.26 fof(f1,axiom,(
% 102.23/15.26 (![A,B,C]: (inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C ))),
% 102.23/15.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.23/15.26 fof(f2,negated_conjecture,(
% 102.23/15.26 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 102.23/15.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 102.23/15.26 fof(f3,plain,(
% 102.23/15.26 ![X0,X1,X2]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))=X2)),
% 102.23/15.26 inference(cnf_transformation,[status(thm)],[f1])).
% 102.23/15.26 fof(f4,plain,(
% 102.23/15.26 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 102.23/15.26 inference(cnf_transformation,[status(thm)],[f2])).
% 102.23/15.26 fof(f11,plain,(
% 102.23/15.26 ![X0,X1,X2,X3,X4]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))=multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f3,f3])).
% 102.23/15.26 fof(f13,plain,(
% 102.23/15.26 ![X0,X1,X2]: (X0=multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(X1),X1))))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f3,f11])).
% 102.23/15.26 fof(f15,plain,(
% 102.23/15.26 ![X0,X1,X2,X3,X4]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))))))=multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f11,f11])).
% 102.23/15.26 fof(f38,plain,(
% 102.23/15.26 ![X0,X1,X2]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))))))=X2)),
% 102.23/15.26 inference(forward_demodulation,[status(thm)],[f13,f15])).
% 102.23/15.26 fof(f77,plain,(
% 102.23/15.26 ![X0,X1,X2,X3]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))))=multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f13,f3])).
% 102.23/15.26 fof(f87,plain,(
% 102.23/15.26 ![X0,X1,X2]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X0))))))),inverse(multiply(inverse(X2),X2))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f3,f77])).
% 102.23/15.26 fof(f126,plain,(
% 102.23/15.26 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1))))=X2)),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f77,f38])).
% 102.23/15.26 fof(f141,plain,(
% 102.23/15.26 ![X0,X1,X2]: (X0=multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(inverse(X2),X2)))))))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f77,f13])).
% 102.23/15.26 fof(f336,plain,(
% 102.23/15.26 ![X0,X1,X2,X3]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),X3)),inverse(multiply(inverse(X0),X0)))))))=multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f141,f141])).
% 102.23/15.26 fof(f500,plain,(
% 102.23/15.26 ![X0,X1,X2,X3]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(X3))))))))),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(X3)))))))),inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(X3)))))))))))),
% 102.23/15.26 inference(paramodulation,[status(thm)],[f87,f87])).
% 102.23/15.26 fof(f527,plain,(
% 102.23/15.26 ![X0,X1,X2,X3,X4]: (inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))=multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X0,inverse(X1))))))))),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X0,inverse(X1)))))))),inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X0,inverse(X1)))))))))))),
% 102.23/15.49 inference(paramodulation,[status(thm)],[f87,f77])).
% 102.23/15.49 fof(f539,plain,(
% 102.23/15.49 ![X0,X1]: (multiply(inverse(X0),X0)=inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))),
% 102.23/15.49 inference(backward_demodulation,[status(thm)],[f527,f500])).
% 102.23/15.49 fof(f664,plain,(
% 102.23/15.49 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X3)))))),inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(X3,X0)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))))))),
% 102.23/15.49 inference(paramodulation,[status(thm)],[f126,f141])).
% 102.23/15.49 fof(f1415,plain,(
% 102.23/15.49 ![X0,X1,X2,X3]: (multiply(X0,X1)=multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(X0,inverse(multiply(inverse(X3),X3)))))))))),X1))),
% 102.23/15.49 inference(paramodulation,[status(thm)],[f38,f664])).
% 102.23/15.49 fof(f2259,plain,(
% 102.23/15.49 ![X0,X1,X2,X3,X4]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,X4)),inverse(multiply(inverse(X2),X2)))))))))),multiply(X3,inverse(inverse(multiply(X4,inverse(multiply(inverse(X0),inverse(multiply(inverse(X4),X4))))))))))),
% 102.23/15.49 inference(paramodulation,[status(thm)],[f336,f664])).
% 102.23/15.49 fof(f2429,plain,(
% 102.23/15.49 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))))))))),
% 102.23/15.49 inference(forward_demodulation,[status(thm)],[f1415,f2259])).
% 102.23/15.49 fof(f4103,plain,(
% 102.23/15.49 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))))),
% 102.23/15.49 inference(paramodulation,[status(thm)],[f539,f2429])).
% 102.23/15.49 fof(f4849,plain,(
% 102.23/15.49 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 102.23/15.49 inference(paramodulation,[status(thm)],[f4103,f4103])).
% 102.23/15.49 fof(f5101,plain,(
% 102.23/15.49 $false),
% 102.23/15.49 inference(backward_subsumption_resolution,[status(thm)],[f4,f4849])).
% 102.23/15.49 % SZS output end CNFRefutation for theBenchmark.p
% 34.82/15.55 % Elapsed time: 15.150470 seconds
% 34.82/15.55 % CPU time: 104.004676 seconds
% 34.82/15.55 % Total memory used: 1.551 GB
% 34.82/15.55 % Net memory used: 1.548 GB
%------------------------------------------------------------------------------