%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:35:34 PM UTC 2026
% Result : Unsatisfiable 19.79s 8.19s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.57 % Computer : n006.cluster.edu
% 0.08/5.57 % Model : x86_64 x86_64
% 0.08/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.57 % Memory : 8046.5625MB
% 0.08/5.57 % OS : Linux 6.8.0-71-generic
% 0.08/5.57 % CPULimit : 300
% 0.08/5.57 % WCLimit : 300
% 0.08/5.57 % DateTime : Sun Sep 20 19:56:19 UTC 2026
% 0.08/5.57 % CPUTime :
% 0.08/5.58 % Drodi V4.1.1
% 19.79/8.19 % Refutation found
% 19.79/8.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.79/8.19 % SZS output start CNFRefutation for theBenchmark
% 19.79/8.19 fof(f1,axiom,(
% 19.79/8.19 (![X,Y,Z,U]: (multiply(X,inverse(multiply(Y,multiply(multiply(multiply(Z,inverse(Z)),inverse(multiply(U,Y))),X)))) = U ))),
% 19.79/8.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.79/8.19 fof(f2,negated_conjecture,(
% 19.79/8.19 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 19.79/8.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.79/8.19 fof(f3,plain,(
% 19.79/8.19 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0))))=X3)),
% 19.79/8.19 inference(cnf_transformation,[status(thm)],[f1])).
% 19.79/8.19 fof(f4,plain,(
% 19.79/8.19 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 19.79/8.19 inference(cnf_transformation,[status(thm)],[f2])).
% 19.79/8.19 fof(f5,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4,X5]: (multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X2)))=X4)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f3,f3])).
% 19.79/8.19 fof(f6,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0))))=X3)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f3,f3])).
% 19.79/8.19 fof(f7,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X0))))=X4)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f3,f3])).
% 19.79/8.19 fof(f8,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X1))),multiply(X5,inverse(X5))),X0))))=multiply(X4,multiply(X6,inverse(X6))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f6,f6])).
% 19.79/8.19 fof(f9,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0))))=multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),multiply(X5,inverse(X5))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f3,f6])).
% 19.79/8.19 fof(f11,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,X0))))=inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X5))),X4))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f3,f6])).
% 19.79/8.19 fof(f42,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X1,X2)))))))=X3)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f9,f3])).
% 19.79/8.19 fof(f71,plain,(
% 19.79/8.19 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))=multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f6,f42])).
% 19.79/8.19 fof(f193,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X6)))))))),inverse(multiply(inverse(multiply(X5,X6)),X2)))=multiply(X7,inverse(X7)))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f71,f5])).
% 19.79/8.19 fof(f248,plain,(
% 19.79/8.19 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 19.79/8.19 inference(forward_demodulation,[status(thm)],[f5,f193])).
% 19.79/8.19 fof(f254,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))=multiply(X2,inverse(X2)))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f71,f248])).
% 19.79/8.19 fof(f269,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X0))))=X1)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f248,f3])).
% 19.79/8.19 fof(f488,plain,(
% 19.79/8.19 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X0))),X3))=X3)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f269,f7])).
% 19.79/8.19 fof(f584,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X1)))=multiply(X0,multiply(X2,inverse(X2))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f8,f8])).
% 19.79/8.19 fof(f1151,plain,(
% 19.79/8.19 ![X0,X1,X2,X3]: (X0=inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,X0),X1))),X3))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f6,f11])).
% 19.79/8.19 fof(f2574,plain,(
% 19.79/8.19 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X0)),multiply(X2,inverse(X2)))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f254,f1151])).
% 19.79/8.19 fof(f2581,plain,(
% 19.79/8.19 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(multiply(X2,inverse(X2)),X1))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f254,f1151])).
% 19.79/8.19 fof(f4816,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),X1)=inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f2581,f2574])).
% 19.79/8.19 fof(f5042,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),multiply(inverse(multiply(X1,inverse(X1))),X2))=X2)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f2574,f4816])).
% 19.79/8.19 fof(f5086,plain,(
% 19.79/8.19 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,X0)),inverse(multiply(inverse(X1),multiply(X2,inverse(X2)))))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f4816,f1151])).
% 19.79/8.19 fof(f5483,plain,(
% 19.79/8.19 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(X1))),X2),X0)),X2)))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f5042,f1151])).
% 19.79/8.19 fof(f5583,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4]: (multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(X1,inverse(X1)),multiply(inverse(multiply(X2,inverse(X2))),X3)))),X4)=inverse(multiply(inverse(X4),X3)))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f488,f5483])).
% 19.79/8.19 fof(f5765,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X2)=inverse(multiply(inverse(X2),X1)))),
% 19.79/8.19 inference(forward_demodulation,[status(thm)],[f5042,f5583])).
% 19.79/8.19 fof(f6843,plain,(
% 19.79/8.19 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,X3))),multiply(X2,X0))))=X3)),
% 19.79/8.19 inference(backward_demodulation,[status(thm)],[f5765,f6])).
% 19.79/8.19 fof(f6847,plain,(
% 19.79/8.19 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(X2,X1))))))=X2)),
% 19.79/8.19 inference(backward_demodulation,[status(thm)],[f5765,f3])).
% 19.79/8.19 fof(f7816,plain,(
% 19.79/8.19 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f2574,f6843])).
% 19.79/8.19 fof(f8146,plain,(
% 19.79/8.19 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X0,X1))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f7816,f7816])).
% 19.79/8.19 fof(f8185,plain,(
% 19.79/8.19 ![X0,X1]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=X0)),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f7816,f6847])).
% 19.79/8.19 fof(f8208,plain,(
% 19.79/8.19 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f7816,f8146])).
% 19.79/8.19 fof(f8250,plain,(
% 19.79/8.19 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X1,X2)))))))=inverse(inverse(X3)))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f8146,f42])).
% 19.79/8.19 fof(f8335,plain,(
% 19.79/8.19 ![X0]: (X0=inverse(inverse(X0)))),
% 19.79/8.19 inference(forward_demodulation,[status(thm)],[f42,f8250])).
% 19.79/8.19 fof(f8409,plain,(
% 19.79/8.19 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f8335,f248])).
% 19.79/8.19 fof(f8425,plain,(
% 19.79/8.19 ![X0,X1]: (inverse(inverse(X0))=multiply(X0,multiply(X1,inverse(X1))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f584,f8208])).
% 19.79/8.19 fof(f8467,plain,(
% 19.79/8.19 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(inverse(inverse(X1)))))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f8208,f5086])).
% 19.79/8.19 fof(f8468,plain,(
% 19.79/8.19 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=inverse(inverse(inverse(inverse(X1)))))),
% 19.79/8.19 inference(paramodulation,[status(thm)],[f8208,f4816])).
% 19.79/8.21 fof(f8508,plain,(
% 19.79/8.21 ![X0,X1]: (X0=multiply(X0,multiply(X1,inverse(X1))))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8425])).
% 19.79/8.21 fof(f8531,plain,(
% 19.79/8.21 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8467])).
% 19.79/8.21 fof(f8532,plain,(
% 19.79/8.21 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),X1)))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8531])).
% 19.79/8.21 fof(f8533,plain,(
% 19.79/8.21 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=inverse(inverse(X1)))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8468])).
% 19.79/8.21 fof(f8534,plain,(
% 19.79/8.21 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=X1)),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8533])).
% 19.79/8.21 fof(f8567,plain,(
% 19.79/8.21 ![X0,X1,X2]: (X0=multiply(X0,inverse(multiply(inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(X2)))),X2))))),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f5765,f8508])).
% 19.79/8.21 fof(f8633,plain,(
% 19.79/8.21 ![X0,X1,X2]: (X0=multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),X2))))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8567])).
% 19.79/8.21 fof(f8634,plain,(
% 19.79/8.21 ![X0,X1]: (X0=multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f5765,f8633])).
% 19.79/8.21 fof(f8635,plain,(
% 19.79/8.21 ![X0,X1]: (X0=multiply(X0,multiply(inverse(X1),X1)))),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8335,f8634])).
% 19.79/8.21 fof(f9169,plain,(
% 19.79/8.21 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f8335,f8534])).
% 19.79/8.21 fof(f9303,plain,(
% 19.79/8.21 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f8635,f7816])).
% 19.79/8.21 fof(f9340,plain,(
% 19.79/8.21 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 19.79/8.21 inference(backward_demodulation,[status(thm)],[f9169,f4])).
% 19.79/8.21 fof(f9398,plain,(
% 19.79/8.21 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 19.79/8.21 inference(trivial_equality_resolution,[status(thm)],[f9340])).
% 19.79/8.21 fof(f9628,plain,(
% 19.79/8.21 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X1,inverse(multiply(X2,inverse(X2))))))=X0)),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f8409,f6847])).
% 19.79/8.21 fof(f9707,plain,(
% 19.79/8.21 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 19.79/8.21 inference(forward_demodulation,[status(thm)],[f8185,f9628])).
% 19.79/8.21 fof(f9758,plain,(
% 19.79/8.21 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f8335,f9707])).
% 19.79/8.21 fof(f10042,plain,(
% 19.79/8.21 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X1,X2)))=X0)),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f8532,f6847])).
% 19.79/8.21 fof(f12734,plain,(
% 19.79/8.21 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 19.79/8.21 inference(backward_subsumption_resolution,[status(thm)],[f9398,f9303])).
% 19.79/8.21 fof(f30105,plain,(
% 19.79/8.21 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 19.79/8.21 inference(paramodulation,[status(thm)],[f10042,f9758])).
% 19.79/8.21 fof(f30262,plain,(
% 19.79/8.21 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 19.79/8.21 inference(backward_demodulation,[status(thm)],[f30105,f12734])).
% 19.79/8.21 fof(f30369,plain,(
% 19.79/8.21 $false),
% 19.79/8.21 inference(trivial_equality_resolution,[status(thm)],[f30262])).
% 19.79/8.21 % SZS output end CNFRefutation for theBenchmark.p
% 19.79/8.22 % Elapsed time: 2.631608 seconds
% 19.79/8.22 % CPU time: 20.655255 seconds
% 19.79/8.22 % Total memory used: 278.272 MB
% 19.79/8.22 % Net memory used: 276.339 MB
%------------------------------------------------------------------------------