%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP600-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:36:53 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP600-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 20:17:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.48 fof(f1,axiom,(
% 0.12/0.48 (![A,B,C]: (double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f2,axiom,(
% 0.12/0.48 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f3,negated_conjecture,(
% 0.12/0.48 multiply(a,b) != multiply(b,a) ),
% 0.12/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.48 fof(f4,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1)))))=X2)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.48 fof(f5,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.48 fof(f6,plain,(
% 0.12/0.48 ~multiply(a,b)=multiply(b,a)),
% 0.12/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.48 fof(f10,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(inverse(double_divide(inverse(X2),X1)),X0))=X2)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.48 fof(f11,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0))=X2)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.12/0.48 fof(f12,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1)))=X3)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.12/0.48 fof(f14,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0))=inverse(X1))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f11,f5])).
% 0.12/0.48 fof(f17,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1)=inverse(X3))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f11,f14])).
% 0.12/0.48 fof(f18,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2))=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f14,f11])).
% 0.12/0.48 fof(f97,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))),X0)=inverse(X3))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.12/0.48 fof(f108,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))))=X3)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f17,f12])).
% 0.12/0.48 fof(f121,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(multiply(inverse(X0),inverse(X1)),X0)=inverse(X1))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f11,f97])).
% 0.12/0.48 fof(f123,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(X0,multiply(inverse(X0),inverse(X1)))=X1)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f11,f108])).
% 0.12/0.48 fof(f128,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=X2)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f5,f123])).
% 0.12/0.48 fof(f145,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(double_divide(X0,inverse(X0)),inverse(X1))=X1)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f121,f11])).
% 0.12/0.48 fof(f166,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2))=double_divide(X2,X1))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f5,f145])).
% 0.12/0.48 fof(f407,plain,(
% 0.12/0.48 ![X0,X1]: (X0=double_divide(inverse(X0),multiply(inverse(X1),X1)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f128,f166])).
% 0.12/0.48 fof(f475,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(multiply(inverse(X0),X0),inverse(X1))=inverse(X1))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f407,f5])).
% 0.12/0.48 fof(f550,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),multiply(inverse(X1),X1)),inverse(X2)),inverse(X2))=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f475,f18])).
% 0.12/0.48 fof(f569,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(double_divide(X0,inverse(X1)),inverse(X1))=X0)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f407,f550])).
% 0.12/0.48 fof(f587,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,X2)),inverse(double_divide(X2,X1)))=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f5,f569])).
% 0.12/0.48 fof(f602,plain,(
% 0.12/0.48 ![X0,X1,X2]: (double_divide(double_divide(X0,multiply(X1,X2)),multiply(X1,X2))=X0)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f5,f587])).
% 0.12/0.48 fof(f875,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),X1))=inverse(X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f407,f602])).
% 0.12/0.48 fof(f939,plain,(
% 0.12/0.48 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f875,f407])).
% 0.12/0.48 fof(f941,plain,(
% 0.12/0.48 ![X0,X1]: (X0=inverse(double_divide(X0,multiply(inverse(X1),X1))))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f602,f875])).
% 0.12/0.48 fof(f977,plain,(
% 0.12/0.48 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f5,f941])).
% 0.12/0.48 fof(f1011,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X1)=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f939,f569])).
% 0.12/0.48 fof(f1046,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f939,f1011])).
% 0.12/0.48 fof(f1335,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X0)=X1)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f977,f11])).
% 0.12/0.48 fof(f1371,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f939,f1335])).
% 0.12/0.48 fof(f1437,plain,(
% 0.12/0.48 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1371,f1046])).
% 0.12/0.48 fof(f1604,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1437,f5])).
% 0.12/0.48 fof(f2834,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f5,f1604])).
% 0.12/0.48 fof(f2931,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(backward_subsumption_resolution,[status(thm)],[f6,f2834])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.144412 seconds
% 0.12/0.50 % CPU time: 0.964211 seconds
% 0.12/0.50 % Total memory used: 39.920 MB
% 0.12/0.50 % Net memory used: 39.718 MB
%------------------------------------------------------------------------------