%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP441-1 : 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 : n008.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 269.12s 34.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP441-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.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 20:14:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 269.12/34.39 % Refutation found
% 269.12/34.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 269.12/34.39 % SZS output start CNFRefutation for theBenchmark
% 269.12/34.39 fof(f1,axiom,(
% 269.12/34.39 (![A,B,C,D]: (inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D ))),
% 269.12/34.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 269.12/34.39 fof(f2,negated_conjecture,(
% 269.12/34.39 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 269.12/34.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 269.12/34.39 fof(f3,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))))=X3)),
% 269.12/34.39 inference(cnf_transformation,[status(thm)],[f1])).
% 269.12/34.39 fof(f4,plain,(
% 269.12/34.39 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 269.12/34.39 inference(cnf_transformation,[status(thm)],[f2])).
% 269.12/34.39 fof(f11,plain,(
% 269.12/34.39 ![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)),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f3,f3])).
% 269.12/34.39 fof(f17,plain,(
% 269.12/34.39 ![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)),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f3,f11])).
% 269.12/34.39 fof(f28,plain,(
% 269.12/34.39 ![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)))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f3,f17])).
% 269.12/34.39 fof(f850,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f17,f28])).
% 269.12/34.39 fof(f1019,plain,(
% 269.12/34.39 ![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)),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f28,f3])).
% 269.12/34.39 fof(f1078,plain,(
% 269.12/34.39 ![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))))))))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f850,f850])).
% 269.12/34.39 fof(f1853,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f850,f1078])).
% 269.12/34.39 fof(f2271,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1853,f1853])).
% 269.12/34.39 fof(f2307,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1853,f850])).
% 269.12/34.39 fof(f2482,plain,(
% 269.12/34.39 ![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)))))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1019,f2271])).
% 269.12/34.39 fof(f2653,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(X2,inverse(multiply(X3,X2)))),X3))))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f1019,f2482])).
% 269.12/34.39 fof(f2755,plain,(
% 269.12/34.39 ![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)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f2653,f850])).
% 269.12/34.39 fof(f4071,plain,(
% 269.12/34.39 ![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))))))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f2307,f850])).
% 269.12/34.39 fof(f4090,plain,(
% 269.12/34.39 ![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)),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f2307,f3])).
% 269.12/34.39 fof(f4305,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(X0),X1))))))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f2307,f4071])).
% 269.12/34.39 fof(f4324,plain,(
% 269.12/34.39 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,X0))))))=X2)),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f2307,f4090])).
% 269.12/34.39 fof(f4430,plain,(
% 269.12/34.39 ![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)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f2653,f4305])).
% 269.12/34.39 fof(f4431,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1)))),multiply(X3,multiply(inverse(X3),inverse(X2)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1853,f4305])).
% 269.12/34.39 fof(f9496,plain,(
% 269.12/34.39 ![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)))))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1019,f4431])).
% 269.12/34.39 fof(f9747,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),multiply(X3,multiply(inverse(X3),X2))))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f1019,f9496])).
% 269.12/34.39 fof(f9851,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X2))),X1)))),X3))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f4305,f9747])).
% 269.12/34.39 fof(f20724,plain,(
% 269.12/34.39 ![X0,X1,X2]: (inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))=multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f4430,f1019])).
% 269.12/34.39 fof(f21820,plain,(
% 269.12/34.39 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(inverse(X1))))=multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f20724,f20724])).
% 269.12/34.39 fof(f22515,plain,(
% 269.12/34.39 ![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))))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1019,f21820])).
% 269.12/34.39 fof(f23296,plain,(
% 269.12/34.39 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X2,multiply(inverse(X2),X1)))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f1019,f22515])).
% 269.12/34.39 fof(f23419,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (multiply(X0,X1)=multiply(X2,multiply(inverse(X2),multiply(X0,multiply(X3,inverse(multiply(inverse(X1),X3)))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f1853,f23296])).
% 269.12/34.39 fof(f23430,plain,(
% 269.12/34.39 ![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))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f2755,f23296])).
% 269.12/34.39 fof(f23683,plain,(
% 269.12/34.39 ![X0,X1,X2]: (inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))))=X2)),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f23296,f4324])).
% 269.12/34.39 fof(f24382,plain,(
% 269.12/34.39 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f2755,f23430])).
% 269.12/34.39 fof(f24503,plain,(
% 269.12/34.39 ![X0,X1,X2]: (inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))=multiply(X0,multiply(X2,inverse(X2))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f24382,f20724])).
% 269.12/34.39 fof(f24548,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(inverse(inverse(X0)),multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f24382,f4305])).
% 269.12/34.39 fof(f40272,plain,(
% 269.12/34.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X1)))=multiply(X0,multiply(X2,inverse(X2))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f24503,f24503])).
% 269.12/34.39 fof(f69724,plain,(
% 269.12/34.39 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f24548,f23419])).
% 269.12/34.39 fof(f70861,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(X1,multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f69724,f4305])).
% 269.12/34.39 fof(f71083,plain,(
% 269.12/34.39 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X1,multiply(inverse(X2),X2)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f69724,f23296])).
% 269.12/34.39 fof(f72632,plain,(
% 269.12/34.39 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X1))=multiply(X0,multiply(inverse(X2),X2)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f71083,f71083])).
% 269.12/34.39 fof(f73776,plain,(
% 269.12/34.39 ![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))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f71083,f9851])).
% 269.12/34.39 fof(f74432,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(multiply(X0,multiply(multiply(inverse(X1),X1),inverse(X2))),X2))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f23683,f73776])).
% 269.12/34.39 fof(f77855,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(multiply(X0,multiply(X1,inverse(X1))),multiply(inverse(X2),X2)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f40272,f74432])).
% 269.12/34.39 fof(f85081,plain,(
% 269.12/34.39 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f77855,f70861])).
% 269.12/34.39 fof(f85083,plain,(
% 269.12/34.39 ![X0,X1]: (X0=multiply(X0,multiply(inverse(X1),X1)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f72632,f70861])).
% 269.12/34.39 fof(f85089,plain,(
% 269.12/34.39 ![X0,X1]: (X0=multiply(X1,inverse(multiply(inverse(X0),X1))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f70861,f70861])).
% 269.12/34.39 fof(f87889,plain,(
% 269.12/34.39 ![X0,X1]: (inverse(inverse(multiply(X0,multiply(X1,inverse(X1)))))=X0)),
% 269.12/34.39 inference(backward_demodulation,[status(thm)],[f85081,f24503])).
% 269.12/34.39 fof(f88805,plain,(
% 269.12/34.39 ![X0]: (inverse(inverse(X0))=X0)),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f85081,f87889])).
% 269.12/34.39 fof(f89733,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),X1),inverse(inverse(X0))))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f85083,f850])).
% 269.12/34.39 fof(f90487,plain,(
% 269.12/34.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(X1),multiply(X1,multiply(multiply(X0,multiply(multiply(inverse(X2),X2),inverse(X3))),X3))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f85083,f2653])).
% 269.12/34.39 fof(f90546,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),X1),X0))))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f88805,f89733])).
% 269.12/34.39 fof(f90893,plain,(
% 269.12/34.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f74432,f90487])).
% 269.12/34.39 fof(f97729,plain,(
% 269.12/34.39 ![X0,X1]: (X0=multiply(multiply(X0,X1),inverse(X1)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f90893,f85089])).
% 269.12/34.39 fof(f97752,plain,(
% 269.12/34.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f88805,f85089])).
% 269.12/34.39 fof(f126723,plain,(
% 269.12/34.39 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f97729,f97752])).
% 269.12/34.39 fof(f235913,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X1)),X0))))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f88805,f90546])).
% 269.12/34.39 fof(f237230,plain,(
% 269.12/34.39 ![X0,X1,X2]: (X0=multiply(X1,multiply(X2,multiply(inverse(multiply(X1,X2)),X0))))),
% 269.12/34.39 inference(forward_demodulation,[status(thm)],[f126723,f235913])).
% 269.12/34.39 fof(f237498,plain,(
% 269.12/34.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 269.12/34.39 inference(paramodulation,[status(thm)],[f90893,f237230])).
% 269.12/34.39 fof(f239093,plain,(
% 269.12/34.39 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 262.48/34.58 inference(backward_demodulation,[status(thm)],[f237498,f4])).
% 262.48/34.58 fof(f241217,plain,(
% 262.48/34.58 $false),
% 262.48/34.58 inference(trivial_equality_resolution,[status(thm)],[f239093])).
% 262.48/34.58 % SZS output end CNFRefutation for theBenchmark.p
% 65.70/36.78 % Elapsed time: 36.397142 seconds
% 65.70/36.78 % CPU time: 288.035614 seconds
% 65.70/36.78 % Total memory used: 59.695 GB
% 65.70/36.78 % Net memory used: 59.689 GB
%------------------------------------------------------------------------------