%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP440-1 : 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 : n010.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 12:36:38 PM UTC 2026
% Result : Unsatisfiable 116.01s 15.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP440-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.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 20:13:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 116.01/15.09 % Refutation found
% 116.01/15.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 116.01/15.09 % SZS output start CNFRefutation for theBenchmark
% 116.01/15.09 fof(f1,axiom,(
% 116.01/15.09 (![A,B,C,D]: (inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D ))),
% 116.01/15.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 116.01/15.09 fof(f2,negated_conjecture,(
% 116.01/15.09 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 116.01/15.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 116.01/15.09 fof(f3,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))))=X3)),
% 116.01/15.09 inference(cnf_transformation,[status(thm)],[f1])).
% 116.01/15.09 fof(f4,plain,(
% 116.01/15.09 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 116.01/15.09 inference(cnf_transformation,[status(thm)],[f2])).
% 116.01/15.09 fof(f10,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4]: (inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X2),inverse(multiply(X3,multiply(X4,X2))))),X3))))=X4)),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f3,f3])).
% 116.01/15.09 fof(f16,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5))))=X2)),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f3,f10])).
% 116.01/15.09 fof(f27,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5))))=multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X2,multiply(X6,X8)))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f3,f16])).
% 116.01/15.09 fof(f849,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f16,f27])).
% 116.01/15.09 fof(f1018,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5]: (inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))))=X2)),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f27,f3])).
% 116.01/15.09 fof(f1077,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5]: (X0=multiply(X1,multiply(X2,multiply(X3,inverse(multiply(inverse(X0),multiply(X1,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(inverse(X3),multiply(inverse(X2),X5))))))))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f849,f849])).
% 116.01/15.09 fof(f1852,plain,(
% 116.01/15.09 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f849,f1077])).
% 116.01/15.09 fof(f2270,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1852,f1852])).
% 116.01/15.09 fof(f2306,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1852,f849])).
% 116.01/15.09 fof(f2481,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(X3,X2)))),inverse(inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(X3,X6),inverse(multiply(X7,multiply(X8,X6))))),X7)),X8)))))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1018,f2270])).
% 116.01/15.09 fof(f2652,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(X3,X2)))),X3))))),
% 116.01/15.09 inference(forward_demodulation,[status(thm)],[f1018,f2481])).
% 116.01/15.09 fof(f2754,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4]: (X0=multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f2652,f849])).
% 116.01/15.09 fof(f4070,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5]: (X0=multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(X0),multiply(X1,multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(inverse(X5),X4)))),inverse(X5))))))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f2306,f849])).
% 116.01/15.09 fof(f4089,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(inverse(X5),X4)))),inverse(X5))))))))))=X2)),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f2306,f3])).
% 116.01/15.09 fof(f4304,plain,(
% 116.01/15.09 ![X0,X1,X2]: (X0=multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(X0),X1))))))),
% 116.01/15.09 inference(forward_demodulation,[status(thm)],[f2306,f4070])).
% 116.01/15.09 fof(f4323,plain,(
% 116.01/15.09 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,X0))))))=X2)),
% 116.01/15.09 inference(forward_demodulation,[status(thm)],[f2306,f4089])).
% 116.01/15.09 fof(f4429,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4]: (X0=multiply(multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3)),multiply(X4,multiply(inverse(X4),inverse(X1)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f2652,f4304])).
% 116.01/15.09 fof(f4430,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1)))),multiply(X3,multiply(inverse(X3),inverse(X2)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1852,f4304])).
% 116.01/15.09 fof(f9495,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),inverse(inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(multiply(inverse(X4),multiply(multiply(X2,X6),inverse(multiply(X7,multiply(X8,X6))))),X7)),X8)))))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1018,f4430])).
% 116.01/15.09 fof(f9746,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2))))),
% 116.01/15.09 inference(forward_demodulation,[status(thm)],[f1018,f9495])).
% 116.01/15.09 fof(f9850,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X2))),X1)))),X3))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f4304,f9746])).
% 116.01/15.09 fof(f20723,plain,(
% 116.01/15.09 ![X0,X1,X2]: (inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))=multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f4429,f1018])).
% 116.01/15.09 fof(f21819,plain,(
% 116.01/15.09 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(inverse(X1))))=multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f20723,f20723])).
% 116.01/15.09 fof(f22514,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X2,multiply(inverse(X2),inverse(inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(multiply(inverse(X3),multiply(multiply(X1,X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7))))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1018,f21819])).
% 116.01/15.09 fof(f23295,plain,(
% 116.01/15.09 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X2,multiply(inverse(X2),X1)))),
% 116.01/15.09 inference(forward_demodulation,[status(thm)],[f1018,f22514])).
% 116.01/15.09 fof(f23418,plain,(
% 116.01/15.09 ![X0,X1,X2,X3]: (multiply(X0,X1)=multiply(X2,multiply(inverse(X2),multiply(X0,multiply(X3,inverse(multiply(inverse(X1),X3)))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f1852,f23295])).
% 116.01/15.09 fof(f23429,plain,(
% 116.01/15.09 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(X0))=multiply(X1,multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(X3,multiply(X4,inverse(multiply(X5,X4)))),X5)),inverse(X3))))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f2754,f23295])).
% 116.01/15.09 fof(f23682,plain,(
% 116.01/15.09 ![X0,X1,X2]: (inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))))=X2)),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f23295,f4323])).
% 116.01/15.09 fof(f24381,plain,(
% 116.01/15.09 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 116.01/15.09 inference(forward_demodulation,[status(thm)],[f2754,f23429])).
% 116.01/15.09 fof(f24502,plain,(
% 116.01/15.09 ![X0,X1,X2]: (inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))=multiply(X0,multiply(X2,inverse(X2))))),
% 116.01/15.09 inference(paramodulation,[status(thm)],[f24381,f20723])).
% 116.01/15.09 fof(f24547,plain,(
% 116.01/15.09 ![X0,X1,X2]: (X0=multiply(inverse(inverse(X0)),multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))))))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f24381,f4304])).
% 116.76/15.21 fof(f40271,plain,(
% 116.76/15.21 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X1)))=multiply(X0,multiply(X2,inverse(X2))))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f24502,f24502])).
% 116.76/15.21 fof(f69723,plain,(
% 116.76/15.21 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f24547,f23418])).
% 116.76/15.21 fof(f70858,plain,(
% 116.76/15.21 ![X0]: (~multiply(multiply(inverse(X0),X0),a2)=a2)),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f69723,f4])).
% 116.76/15.21 fof(f70861,plain,(
% 116.76/15.21 ![X0,X1,X2]: (X0=multiply(X1,multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2))))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f69723,f4304])).
% 116.76/15.21 fof(f71083,plain,(
% 116.76/15.21 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X1,multiply(inverse(X2),X2)))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f69723,f23295])).
% 116.76/15.21 fof(f72723,plain,(
% 116.76/15.21 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X1))=multiply(X0,multiply(inverse(X2),X2)))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f71083,f71083])).
% 116.76/15.21 fof(f73868,plain,(
% 116.76/15.21 ![X0,X1,X2,X3,X4]: (X0=multiply(multiply(X0,multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X2),multiply(inverse(inverse(X3)),inverse(multiply(inverse(X4),X3)))))))),X4))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f71083,f9850])).
% 116.76/15.21 fof(f74524,plain,(
% 116.76/15.21 ![X0,X1,X2]: (X0=multiply(multiply(X0,multiply(multiply(inverse(X1),X1),inverse(X2))),X2))),
% 116.76/15.21 inference(forward_demodulation,[status(thm)],[f23682,f73868])).
% 116.76/15.21 fof(f77950,plain,(
% 116.76/15.21 ![X0,X1,X2]: (X0=multiply(multiply(X0,multiply(X1,inverse(X1))),multiply(inverse(X2),X2)))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f40271,f74524])).
% 116.76/15.21 fof(f78187,plain,(
% 116.76/15.21 ![X0]: (~inverse(multiply(multiply(inverse(X0),X0),inverse(a2)))=a2)),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f74524,f70858])).
% 116.76/15.21 fof(f87156,plain,(
% 116.76/15.21 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f77950,f70861])).
% 116.76/15.21 fof(f87158,plain,(
% 116.76/15.21 ![X0,X1]: (X0=multiply(X0,multiply(inverse(X1),X1)))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f72723,f70861])).
% 116.76/15.21 fof(f87164,plain,(
% 116.76/15.21 ![X0,X1]: (X0=multiply(X1,inverse(multiply(inverse(X0),X1))))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f70861,f70861])).
% 116.76/15.21 fof(f88088,plain,(
% 116.76/15.21 ![X0,X1]: (inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))=X0)),
% 116.76/15.21 inference(backward_demodulation,[status(thm)],[f87156,f24502])).
% 116.76/15.21 fof(f89006,plain,(
% 116.76/15.21 ![X0]: (inverse(inverse(X0))=X0)),
% 116.76/15.21 inference(forward_demodulation,[status(thm)],[f87156,f88088])).
% 116.76/15.21 fof(f90692,plain,(
% 116.76/15.21 ![X0,X1,X2,X3]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(multiply(inverse(X2),X2),inverse(X3))),X3))))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f87158,f2652])).
% 116.76/15.21 fof(f91098,plain,(
% 116.76/15.21 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 116.76/15.21 inference(forward_demodulation,[status(thm)],[f74524,f90692])).
% 116.76/15.21 fof(f98061,plain,(
% 116.76/15.21 ![X0,X1]: (X0=multiply(multiply(X0,X1),inverse(X1)))),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f91098,f87164])).
% 116.76/15.21 fof(f98969,plain,(
% 116.76/15.21 ~inverse(inverse(a2))=a2),
% 116.76/15.21 inference(paramodulation,[status(thm)],[f98061,f78187])).
% 116.76/15.21 fof(f99226,plain,(
% 116.76/15.21 ~a2=a2),
% 116.76/15.21 inference(forward_demodulation,[status(thm)],[f89006,f98969])).
% 116.76/15.21 fof(f99227,plain,(
% 116.76/15.21 $false),
% 116.76/15.21 inference(trivial_equality_resolution,[status(thm)],[f99226])).
% 116.76/15.21 % SZS output end CNFRefutation for theBenchmark.p
% 29.77/15.36 % Elapsed time: 14.985705 seconds
% 29.77/15.36 % CPU time: 118.367659 seconds
% 29.77/15.36 % Total memory used: 1.784 GB
% 29.77/15.36 % Net memory used: 1.779 GB
%------------------------------------------------------------------------------