%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP616-1 : 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 : n008.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 12:36:54 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP616-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:19:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.15/0.58 % Refutation found
% 0.15/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.58 fof(f1,axiom,(
% 0.15/0.58 (![A,B,C]: (double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ))),
% 0.15/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f2,axiom,(
% 0.15/0.58 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.15/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f3,negated_conjecture,(
% 0.15/0.58 multiply(a,b) != multiply(b,a) ),
% 0.15/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.58 fof(f4,plain,(
% 0.15/0.58 ![X0,X1,X2]: (double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2))=X1)),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.58 fof(f5,plain,(
% 0.15/0.58 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.58 fof(f6,plain,(
% 0.15/0.58 ~multiply(a,b)=multiply(b,a)),
% 0.15/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.58 fof(f10,plain,(
% 0.15/0.58 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0))=X2)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f5,f4])).
% 0.15/0.58 fof(f11,plain,(
% 0.15/0.58 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0))=X1)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.15/0.58 fof(f13,plain,(
% 0.15/0.58 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3)=X2)),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.15/0.58 fof(f14,plain,(
% 0.15/0.58 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0)))=inverse(X2))),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f11,f5])).
% 0.15/0.58 fof(f15,plain,(
% 0.15/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1)))))=inverse(X3))),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f11,f14])).
% 0.15/0.58 fof(f16,plain,(
% 0.15/0.58 ![X0,X1,X2]: (multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),inverse(X0))=inverse(X2))),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.15/0.58 fof(f18,plain,(
% 0.15/0.58 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))))=X2)),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f14,f11])).
% 0.15/0.58 fof(f102,plain,(
% 0.15/0.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0)))=inverse(X2))),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.15/0.58 fof(f111,plain,(
% 0.15/0.58 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3)=X1)),
% 0.15/0.58 inference(paramodulation,[status(thm)],[f15,f13])).
% 0.15/0.58 fof(f121,plain,(
% 0.15/0.58 ![X0,X1]: (multiply(X0,multiply(inverse(X1),inverse(X0)))=inverse(X1))),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f11,f102])).
% 0.15/0.58 fof(f123,plain,(
% 0.15/0.58 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 0.15/0.58 inference(forward_demodulation,[status(thm)],[f11,f111])).
% 0.15/0.59 fof(f129,plain,(
% 0.15/0.59 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f5,f123])).
% 0.15/0.59 fof(f154,plain,(
% 0.15/0.59 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X1),X1))=X0)),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f121,f11])).
% 0.15/0.59 fof(f164,plain,(
% 0.15/0.59 ![X0,X1,X2]: (double_divide(multiply(X0,X1),double_divide(inverse(X2),X2))=double_divide(X1,X0))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f5,f154])).
% 0.15/0.59 fof(f322,plain,(
% 0.15/0.59 ![X0,X1]: (X0=double_divide(multiply(X1,inverse(X1)),inverse(X0)))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f129,f164])).
% 0.15/0.59 fof(f383,plain,(
% 0.15/0.59 ![X0,X1]: (multiply(inverse(X0),multiply(X1,inverse(X1)))=inverse(X0))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f322,f5])).
% 0.15/0.59 fof(f470,plain,(
% 0.15/0.59 ![X0,X1,X2]: (multiply(double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2))),inverse(X0))=inverse(X2))),
% 0.15/0.59 inference(paramodulation,[status(thm)],[f383,f16])).
% 0.15/0.59 fof(f471,plain,(
% 0.15/0.59 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2))))=X2)),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f383,f18])).
% 1.36/0.60 fof(f496,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),inverse(X0))=inverse(X1))),
% 1.36/0.60 inference(forward_demodulation,[status(thm)],[f322,f470])).
% 1.36/0.60 fof(f497,plain,(
% 1.36/0.60 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X0),X1))=X1)),
% 1.36/0.60 inference(forward_demodulation,[status(thm)],[f322,f471])).
% 1.36/0.60 fof(f510,plain,(
% 1.36/0.60 ![X0,X1,X2]: (double_divide(multiply(X0,X1),double_divide(inverse(double_divide(X1,X0)),X2))=X2)),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f5,f497])).
% 1.36/0.60 fof(f527,plain,(
% 1.36/0.60 ![X0,X1,X2]: (double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),X2))=X2)),
% 1.36/0.60 inference(forward_demodulation,[status(thm)],[f5,f510])).
% 1.36/0.60 fof(f815,plain,(
% 1.36/0.60 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X0)=X1)),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f123,f527])).
% 1.36/0.60 fof(f866,plain,(
% 1.36/0.60 ![X0]: (X0=inverse(inverse(X0)))),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f322,f815])).
% 1.36/0.60 fof(f903,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(double_divide(inverse(inverse(X0)),X1),X0)=inverse(X1))),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f866,f496])).
% 1.36/0.60 fof(f913,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=inverse(inverse(X0)))),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f866,f383])).
% 1.36/0.60 fof(f943,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(double_divide(X0,X1),X0)=inverse(X1))),
% 1.36/0.60 inference(forward_demodulation,[status(thm)],[f866,f903])).
% 1.36/0.60 fof(f947,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 1.36/0.60 inference(forward_demodulation,[status(thm)],[f866,f913])).
% 1.36/0.60 fof(f1287,plain,(
% 1.36/0.60 ![X0,X1]: (double_divide(X0,double_divide(inverse(inverse(X1)),X0))=X1)),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f947,f11])).
% 1.36/0.60 fof(f1316,plain,(
% 1.36/0.60 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 1.36/0.60 inference(forward_demodulation,[status(thm)],[f866,f1287])).
% 1.36/0.60 fof(f1469,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f1316,f943])).
% 1.36/0.60 fof(f2335,plain,(
% 1.36/0.60 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 1.36/0.60 inference(paramodulation,[status(thm)],[f5,f1469])).
% 1.36/0.60 fof(f2426,plain,(
% 1.36/0.60 $false),
% 1.36/0.60 inference(backward_subsumption_resolution,[status(thm)],[f6,f2335])).
% 1.36/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.36/0.61 % Elapsed time: 0.227333 seconds
% 1.36/0.61 % CPU time: 1.622747 seconds
% 1.36/0.61 % Total memory used: 61.878 MB
% 1.36/0.61 % Net memory used: 61.224 MB
%------------------------------------------------------------------------------