%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP407-1 : 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 : n004.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 12:36:35 PM UTC 2026
% Result : Unsatisfiable 73.63s 9.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP407-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:11:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 73.63/9.79 % Refutation found
% 73.63/9.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 73.63/9.79 % SZS output start CNFRefutation for theBenchmark
% 73.63/9.79 fof(f1,axiom,(
% 73.63/9.79 (![A,B,C]: (multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C ))),
% 73.63/9.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 73.63/9.79 fof(f2,negated_conjecture,(
% 73.63/9.79 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 73.63/9.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 73.63/9.79 fof(f3,plain,(
% 73.63/9.79 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))))=X2)),
% 73.63/9.79 inference(cnf_transformation,[status(thm)],[f1])).
% 73.63/9.79 fof(f4,plain,(
% 73.63/9.79 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 73.63/9.79 inference(cnf_transformation,[status(thm)],[f2])).
% 73.63/9.79 fof(f9,plain,(
% 73.63/9.79 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2)))))=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f3,f3])).
% 73.63/9.79 fof(f11,plain,(
% 73.63/9.79 ![X0,X1,X2,X3]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),multiply(inverse(X3),multiply(inverse(X3),X3)))))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f3,f9])).
% 73.63/9.79 fof(f13,plain,(
% 73.63/9.79 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))))=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),X5)),multiply(inverse(multiply(inverse(multiply(X1,X3)),X4)),X2))),multiply(inverse(X5),multiply(inverse(X5),X5)))))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f9,f9])).
% 73.63/9.79 fof(f35,plain,(
% 73.63/9.79 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))=X2)),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f9,f3])).
% 73.63/9.79 fof(f63,plain,(
% 73.63/9.79 ![X0,X1,X2,X3,X4,X5]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(X3,X4)),X1))),multiply(inverse(X5),multiply(inverse(X5),X5)))),X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f11,f11])).
% 73.63/9.79 fof(f101,plain,(
% 73.63/9.79 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 73.63/9.79 inference(forward_demodulation,[status(thm)],[f11,f63])).
% 73.63/9.79 fof(f138,plain,(
% 73.63/9.79 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f101,f35])).
% 73.63/9.79 fof(f330,plain,(
% 73.63/9.79 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3))=multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,X3)))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f101,f138])).
% 73.63/9.79 fof(f368,plain,(
% 73.63/9.79 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X1),X1))))))=multiply(inverse(X1),X3))),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f138,f35])).
% 73.63/9.79 fof(f2342,plain,(
% 73.63/9.79 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))))),multiply(X0,inverse(multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))))))))=X3)),
% 73.63/9.79 inference(paramodulation,[status(thm)],[f330,f35])).
% 73.63/9.79 fof(f2490,plain,(
% 73.63/9.79 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))=X2)),
% 73.63/9.79 inference(forward_demodulation,[status(thm)],[f368,f2342])).
% 73.63/9.79 fof(f2578,plain,(
% 73.63/9.79 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f2490,f330])).
% 73.63/9.82 fof(f2697,plain,(
% 73.63/9.82 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f2578,f2578])).
% 73.63/9.82 fof(f3088,plain,(
% 73.63/9.82 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))=inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f2697,f13])).
% 73.63/9.82 fof(f3121,plain,(
% 73.63/9.82 ![X0]: (~multiply(multiply(inverse(X0),X0),a2)=a2)),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f2697,f4])).
% 73.63/9.82 fof(f3316,plain,(
% 73.63/9.82 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))))),
% 73.63/9.82 inference(forward_demodulation,[status(thm)],[f35,f3088])).
% 73.63/9.82 fof(f4333,plain,(
% 73.63/9.82 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X0),X0)))))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f138,f3316])).
% 73.63/9.82 fof(f4731,plain,(
% 73.63/9.82 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X2),X2)))))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f2697,f4333])).
% 73.63/9.82 fof(f5827,plain,(
% 73.63/9.82 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 73.63/9.82 inference(backward_demodulation,[status(thm)],[f4731,f368])).
% 73.63/9.82 fof(f5838,plain,(
% 73.63/9.82 ![X0,X1]: (multiply(inverse(X0),X0)=inverse(multiply(inverse(X1),X1)))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f2697,f4731])).
% 73.63/9.82 fof(f9001,plain,(
% 73.63/9.82 ![X0,X1]: (X0=inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),
% 73.63/9.82 inference(backward_demodulation,[status(thm)],[f5827,f4731])).
% 73.63/9.82 fof(f9374,plain,(
% 73.63/9.82 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))))=X1)),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f9001,f3])).
% 73.63/9.82 fof(f9572,plain,(
% 73.63/9.82 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))=X1)),
% 73.63/9.82 inference(forward_demodulation,[status(thm)],[f5827,f9374])).
% 73.63/9.82 fof(f9573,plain,(
% 73.63/9.82 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 73.63/9.82 inference(forward_demodulation,[status(thm)],[f9001,f9572])).
% 73.63/9.82 fof(f10679,plain,(
% 73.63/9.82 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X0,X1))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f9573,f9573])).
% 73.63/9.82 fof(f10827,plain,(
% 73.63/9.82 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f9573,f10679])).
% 73.63/9.82 fof(f11054,plain,(
% 73.63/9.82 ![X0,X1]: (X0=multiply(X0,inverse(multiply(inverse(X1),X1))))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f5838,f10827])).
% 73.63/9.82 fof(f11105,plain,(
% 73.63/9.82 ![X0]: (X0=inverse(inverse(X0)))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f10827,f9001])).
% 73.63/9.82 fof(f11678,plain,(
% 73.63/9.82 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X0,X1))=multiply(inverse(inverse(multiply(inverse(X2),X2))),X1))),
% 73.63/9.82 inference(paramodulation,[status(thm)],[f11054,f5827])).
% 73.63/9.82 fof(f11715,plain,(
% 73.63/9.82 ![X0,X1]: (X0=multiply(inverse(inverse(multiply(inverse(X1),X1))),X0))),
% 73.63/9.82 inference(forward_demodulation,[status(thm)],[f9573,f11678])).
% 73.63/9.82 fof(f11716,plain,(
% 73.63/9.82 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 73.63/9.82 inference(forward_demodulation,[status(thm)],[f11105,f11715])).
% 73.63/9.82 fof(f11717,plain,(
% 73.63/9.82 ~a2=a2),
% 73.63/9.82 inference(backward_demodulation,[status(thm)],[f11716,f3121])).
% 73.63/9.82 fof(f11751,plain,(
% 73.63/9.82 $false),
% 73.63/9.82 inference(trivial_equality_resolution,[status(thm)],[f11717])).
% 73.63/9.82 % SZS output end CNFRefutation for theBenchmark.p
% 48.94/10.02 % Elapsed time: 9.612181 seconds
% 48.94/10.02 % CPU time: 75.601480 seconds
% 48.94/10.02 % Total memory used: 809.766 MB
% 48.94/10.02 % Net memory used: 794.519 MB
%------------------------------------------------------------------------------