%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP439-1 : 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 12:36:38 PM UTC 2026
% Result : Unsatisfiable 59.37s 8.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP439-1 : 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 : n018.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 20:15:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 59.37/8.04 % Refutation found
% 59.37/8.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 59.37/8.04 % SZS output start CNFRefutation for theBenchmark
% 59.37/8.04 fof(f1,axiom,(
% 59.37/8.04 (![A,B,C,D]: (inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D ))),
% 59.37/8.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.37/8.04 fof(f2,negated_conjecture,(
% 59.37/8.04 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 59.37/8.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 59.37/8.04 fof(f3,plain,(
% 59.37/8.04 ![X0,X1,X2,X3]: (inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))))=X3)),
% 59.37/8.04 inference(cnf_transformation,[status(thm)],[f1])).
% 59.37/8.04 fof(f4,plain,(
% 59.37/8.04 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 59.37/8.04 inference(cnf_transformation,[status(thm)],[f2])).
% 59.37/8.04 fof(f11,plain,(
% 59.37/8.04 ![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)),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f3,f3])).
% 59.37/8.04 fof(f17,plain,(
% 59.37/8.04 ![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)),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f3,f11])).
% 59.37/8.04 fof(f28,plain,(
% 59.37/8.04 ![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)))))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f3,f17])).
% 59.37/8.04 fof(f850,plain,(
% 59.37/8.04 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),multiply(X1,X3)))))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f17,f28])).
% 59.37/8.04 fof(f1019,plain,(
% 59.37/8.04 ![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)),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f28,f3])).
% 59.37/8.04 fof(f1078,plain,(
% 59.37/8.04 ![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))))))))))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f850,f850])).
% 59.37/8.04 fof(f1853,plain,(
% 59.37/8.04 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X2))))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f850,f1078])).
% 59.37/8.04 fof(f2307,plain,(
% 59.37/8.04 ![X0,X1,X2,X3]: (X0=multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f1853,f850])).
% 59.37/8.04 fof(f4110,plain,(
% 59.37/8.04 ![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))))))))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f2307,f850])).
% 59.37/8.04 fof(f4129,plain,(
% 59.37/8.04 ![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)),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f2307,f3])).
% 59.37/8.04 fof(f4305,plain,(
% 59.37/8.04 ![X0,X1,X2]: (X0=multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(X0),X1))))))),
% 59.37/8.04 inference(forward_demodulation,[status(thm)],[f2307,f4110])).
% 59.37/8.04 fof(f4324,plain,(
% 59.37/8.04 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(X2,X0))))))=X2)),
% 59.37/8.04 inference(forward_demodulation,[status(thm)],[f2307,f4129])).
% 59.37/8.04 fof(f4432,plain,(
% 59.37/8.04 ![X0,X1,X2,X3]: (X0=multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),inverse(X0))))),multiply(X3,multiply(inverse(X3),inverse(X2)))))),
% 59.37/8.04 inference(paramodulation,[status(thm)],[f4305,f4305])).
% 59.37/8.04 fof(f4884,plain,(
% 60.19/8.08 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (X0=multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X0))))),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)))))))))),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f1019,f4432])).
% 60.19/8.08 fof(f5087,plain,(
% 60.19/8.08 ![X0,X1,X2,X3]: (X0=multiply(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X0))))),multiply(X3,multiply(inverse(X3),X2))))),
% 60.19/8.08 inference(forward_demodulation,[status(thm)],[f1019,f4884])).
% 60.19/8.08 fof(f8017,plain,(
% 60.19/8.08 ![X0,X1,X2,X3,X4]: (inverse(multiply(multiply(X0,multiply(inverse(X0),X1)),multiply(X2,multiply(inverse(X2),inverse(X3)))))=multiply(X4,multiply(inverse(X4),inverse(multiply(X1,inverse(X3))))))),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f5087,f4324])).
% 60.19/8.08 fof(f9656,plain,(
% 60.19/8.08 ![X0,X1,X2]: (inverse(X0)=multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(X2))))))),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f5087,f8017])).
% 60.19/8.08 fof(f10420,plain,(
% 60.19/8.08 ![X0,X1,X2]: (X0=multiply(X0,multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(inverse(X1)),inverse(X2)))))))),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f9656,f2307])).
% 60.19/8.08 fof(f13269,plain,(
% 60.19/8.08 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(inverse(X1)),inverse(X1))),inverse(X2)))))=X2)),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f5087,f10420])).
% 60.19/8.08 fof(f14101,plain,(
% 60.19/8.08 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(X0))=multiply(inverse(X1),X1))),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f13269,f4305])).
% 60.19/8.08 fof(f14354,plain,(
% 60.19/8.08 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 60.19/8.08 inference(paramodulation,[status(thm)],[f14101,f14101])).
% 60.19/8.08 fof(f15075,plain,(
% 60.19/8.08 $false),
% 60.19/8.08 inference(backward_subsumption_resolution,[status(thm)],[f4,f14354])).
% 60.19/8.08 % SZS output end CNFRefutation for theBenchmark.p
% 18.35/8.27 % Elapsed time: 7.899644 seconds
% 18.35/8.27 % CPU time: 61.736736 seconds
% 18.35/8.27 % Total memory used: 866.616 MB
% 18.35/8.27 % Net memory used: 865.152 MB
%------------------------------------------------------------------------------