%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP403-1 : 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 : n015.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 8.28s 1.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP403-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:15:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 8.28/1.49 % Refutation found
% 8.28/1.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.28/1.49 % SZS output start CNFRefutation for theBenchmark
% 8.28/1.49 fof(f1,axiom,(
% 8.28/1.49 (![A,B,C]: (multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C ))),
% 8.28/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.28/1.49 fof(f2,negated_conjecture,(
% 8.28/1.49 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 8.28/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.28/1.49 fof(f3,plain,(
% 8.28/1.49 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1))))))=X2)),
% 8.28/1.49 inference(cnf_transformation,[status(thm)],[f1])).
% 8.28/1.49 fof(f4,plain,(
% 8.28/1.49 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 8.28/1.49 inference(cnf_transformation,[status(thm)],[f2])).
% 8.28/1.49 fof(f10,plain,(
% 8.28/1.49 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2))))))=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3))))))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f3,f3])).
% 8.28/1.49 fof(f12,plain,(
% 8.28/1.49 ![X0,X1,X2,X3]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),inverse(multiply(X3,multiply(inverse(X3),X3))))))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f3,f10])).
% 8.28/1.49 fof(f34,plain,(
% 8.28/1.49 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X1),X1)))))))=X2)),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f10,f3])).
% 8.28/1.49 fof(f60,plain,(
% 8.28/1.49 ![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))),inverse(multiply(X5,multiply(inverse(X5),X5))))),X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f12,f12])).
% 8.28/1.49 fof(f92,plain,(
% 8.28/1.49 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))))),
% 8.28/1.49 inference(forward_demodulation,[status(thm)],[f12,f60])).
% 8.28/1.49 fof(f116,plain,(
% 8.28/1.49 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))=inverse(multiply(X1,multiply(inverse(X1),X1))))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f92,f3])).
% 8.28/1.49 fof(f117,plain,(
% 8.28/1.49 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f92,f34])).
% 8.28/1.49 fof(f265,plain,(
% 8.28/1.49 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3))=multiply(inverse(multiply(X4,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X4,X3)))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f92,f117])).
% 8.28/1.49 fof(f308,plain,(
% 8.28/1.49 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X4,X2)),multiply(X4,X2))))))))=X3)),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f117,f34])).
% 8.28/1.49 fof(f1830,plain,(
% 8.28/1.49 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3))=multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f265,f265])).
% 8.28/1.49 fof(f3746,plain,(
% 8.28/1.49 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(X1,multiply(inverse(X1),X1))))=X2)),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f116,f308])).
% 8.28/1.49 fof(f4038,plain,(
% 8.28/1.49 ![X0,X1,X2,X3]: (multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2)))))=multiply(inverse(X3),X3))),
% 8.28/1.49 inference(paramodulation,[status(thm)],[f3746,f1830])).
% 8.28/1.49 fof(f5156,plain,(
% 8.28/1.49 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 8.28/1.50 inference(paramodulation,[status(thm)],[f4038,f4038])).
% 8.28/1.50 fof(f5727,plain,(
% 8.28/1.50 $false),
% 8.28/1.50 inference(backward_subsumption_resolution,[status(thm)],[f4,f5156])).
% 8.28/1.50 % SZS output end CNFRefutation for theBenchmark.p
% 5.96/1.56 % Elapsed time: 1.180029 seconds
% 5.96/1.56 % CPU time: 8.990651 seconds
% 5.96/1.56 % Total memory used: 210.034 MB
% 5.96/1.56 % Net memory used: 207.738 MB
%------------------------------------------------------------------------------