%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP586-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:36:51 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP586-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 20:20:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (![A,B,C]: (double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,negated_conjecture,(
% 0.08/0.38 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1)))=X2)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.38 fof(f5,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f6,plain,(
% 0.08/0.38 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.38 fof(f11,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(X0,inverse(double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2)))=X1)),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.08/0.38 fof(f12,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=X2)),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.08/0.38 fof(f13,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1))))=double_divide(X3,X2))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ![X0,X1,X2]: (multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2)=inverse(X1))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f12,f5])).
% 0.08/0.38 fof(f17,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),multiply(inverse(X3),X1)),X2)=inverse(X3))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f12,f15])).
% 0.08/0.38 fof(f19,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.08/0.38 fof(f25,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(inverse(multiply(inverse(X0),X1)),inverse(X0))=inverse(X1))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f19,f19])).
% 0.08/0.38 fof(f45,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(X1))=inverse(multiply(inverse(X0),X1)))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f19,f25])).
% 0.08/0.38 fof(f50,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=double_divide(inverse(X3),inverse(multiply(inverse(X3),X2))))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f25,f13])).
% 0.08/0.38 fof(f54,plain,(
% 0.08/0.38 ![X0,X1]: (X0=double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f12,f50])).
% 0.08/0.38 fof(f60,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(inverse(multiply(inverse(X2),X3)),double_divide(X0,X1))))=double_divide(inverse(X3),inverse(inverse(X2))))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f45,f13])).
% 0.08/0.38 fof(f66,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),inverse(inverse(X0))))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f12,f60])).
% 0.08/0.38 fof(f68,plain,(
% 0.08/0.38 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,X1)),X2)=double_divide(inverse(X2),inverse(multiply(X1,X0))))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f5,f66])).
% 0.08/0.38 fof(f74,plain,(
% 0.08/0.38 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X0),X1))),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f75,f54])).
% 0.08/0.38 fof(f75,plain,(
% 0.08/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=double_divide(inverse(X2),inverse(multiply(X0,X1))))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f5,f68])).
% 0.08/0.38 fof(f77,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(inverse(X0),double_divide(X1,inverse(X1)))=inverse(X0))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f15,f74])).
% 0.08/0.38 fof(f80,plain,(
% 0.08/0.38 ![X0,X1,X2]: (X0=multiply(multiply(multiply(X1,X2),X0),double_divide(X2,X1)))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f5,f74])).
% 0.08/0.38 fof(f96,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1))))=double_divide(double_divide(X3,inverse(X3)),inverse(X2)))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f77,f13])).
% 0.08/0.38 fof(f100,plain,(
% 0.08/0.38 ![X0,X1]: (X0=double_divide(double_divide(X1,inverse(X1)),inverse(X0)))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f12,f96])).
% 0.08/0.38 fof(f158,plain,(
% 0.08/0.38 ![X0,X1]: (X0=multiply(X1,double_divide(X1,inverse(X0))))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f74,f80])).
% 0.08/0.38 fof(f192,plain,(
% 0.08/0.38 ![X0,X1]: (X0=multiply(double_divide(X1,inverse(X1)),X0))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f100,f158])).
% 0.08/0.38 fof(f199,plain,(
% 0.08/0.38 ![X0,X1]: (double_divide(inverse(X0),inverse(X1))=multiply(X1,X0))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f158,f74])).
% 0.08/0.38 fof(f308,plain,(
% 0.08/0.38 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f199,f192])).
% 0.08/0.38 fof(f321,plain,(
% 0.08/0.38 ~a2=a2),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f308,f6])).
% 0.08/0.38 fof(f352,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(trivial_equality_resolution,[status(thm)],[f321])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.039777 seconds
% 0.14/0.40 % CPU time: 0.167321 seconds
% 0.14/0.40 % Total memory used: 8.039 MB
% 0.14/0.40 % Net memory used: 7.980 MB
%------------------------------------------------------------------------------