%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP406-1 : 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 : n002.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 4.64s 1.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP406-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:14:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 4.64/1.07 % Refutation found
% 4.64/1.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.64/1.07 % SZS output start CNFRefutation for theBenchmark
% 4.64/1.07 fof(f1,axiom,(
% 4.64/1.07 (![A,B,C]: (multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C ))),
% 4.64/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.64/1.07 fof(f2,negated_conjecture,(
% 4.64/1.07 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 4.64/1.07 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.64/1.07 fof(f3,plain,(
% 4.64/1.07 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))))=X2)),
% 4.64/1.07 inference(cnf_transformation,[status(thm)],[f1])).
% 4.64/1.07 fof(f4,plain,(
% 4.64/1.07 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 4.64/1.07 inference(cnf_transformation,[status(thm)],[f2])).
% 4.64/1.07 fof(f10,plain,(
% 4.64/1.07 ![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)))))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f3,f3])).
% 4.64/1.07 fof(f12,plain,(
% 4.64/1.07 ![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)))))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f3,f10])).
% 4.64/1.07 fof(f36,plain,(
% 4.64/1.07 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))=X2)),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f10,f3])).
% 4.64/1.07 fof(f64,plain,(
% 4.64/1.07 ![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)))))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f12,f12])).
% 4.64/1.07 fof(f102,plain,(
% 4.64/1.07 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 4.64/1.07 inference(forward_demodulation,[status(thm)],[f12,f64])).
% 4.64/1.07 fof(f139,plain,(
% 4.64/1.07 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f102,f36])).
% 4.64/1.07 fof(f331,plain,(
% 4.64/1.07 ![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)))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f102,f139])).
% 4.64/1.07 fof(f369,plain,(
% 4.64/1.07 ![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))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f139,f36])).
% 4.64/1.07 fof(f2344,plain,(
% 4.64/1.07 ![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)),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f331,f36])).
% 4.64/1.07 fof(f2491,plain,(
% 4.64/1.07 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))=X2)),
% 4.64/1.07 inference(forward_demodulation,[status(thm)],[f369,f2344])).
% 4.64/1.07 fof(f2579,plain,(
% 4.64/1.07 ![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)))))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f2491,f331])).
% 4.64/1.07 fof(f2698,plain,(
% 4.64/1.07 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 4.64/1.07 inference(paramodulation,[status(thm)],[f2579,f2579])).
% 4.64/1.07 fof(f3046,plain,(
% 4.64/1.07 $false),
% 4.64/1.07 inference(backward_subsumption_resolution,[status(thm)],[f4,f2698])).
% 4.64/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 0.32/1.11 % Elapsed time: 0.721148 seconds
% 0.32/1.11 % CPU time: 5.444957 seconds
% 0.32/1.11 % Total memory used: 194.524 MB
% 0.32/1.11 % Net memory used: 189.479 MB
%------------------------------------------------------------------------------