%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP604-1 : 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 : n014.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 0.10s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP604-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:17:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.46 % Refutation found
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.46 fof(f1,axiom,(
% 0.10/0.46 (![A,B,C]: (inverse(double_divide(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f2,axiom,(
% 0.10/0.46 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f3,negated_conjecture,(
% 0.10/0.46 multiply(a,b) != multiply(b,a) ),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f4,plain,(
% 0.10/0.46 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2))=X1)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.46 fof(f5,plain,(
% 0.10/0.46 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.46 fof(f6,plain,(
% 0.10/0.46 ~multiply(a,b)=multiply(b,a)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.46 fof(f10,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(X0,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X0))))))=X2)),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f4])).
% 0.10/0.46 fof(f11,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(X0,multiply(inverse(double_divide(X1,double_divide(X2,X0))),X2))=X1)),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 0.10/0.46 fof(f12,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.10/0.46 fof(f13,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.10/0.46 fof(f15,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f12])).
% 0.10/0.46 fof(f17,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.10/0.46 fof(f18,plain,(
% 0.10/0.46 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,multiply(double_divide(multiply(X1,X0),double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2)))=X1)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f15])).
% 0.10/0.46 fof(f20,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.10/0.46 fof(f58,plain,(
% 0.10/0.46 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f17,f20])).
% 0.10/0.46 fof(f89,plain,(
% 0.10/0.46 ![X0,X1,X2]: (X0=double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f20,f58])).
% 0.10/0.46 fof(f130,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=inverse(X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f89,f5])).
% 0.10/0.46 fof(f155,plain,(
% 0.10/0.46 ![X0,X1,X2]: (X0=inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f18,f130])).
% 0.10/0.46 fof(f188,plain,(
% 0.10/0.46 ![X0,X1,X2]: (X0=multiply(double_divide(X1,X2),multiply(X0,multiply(X2,X1))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f155])).
% 0.10/0.46 fof(f259,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(X0,multiply(double_divide(X2,multiply(X1,X3)),multiply(X3,X2)))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f89,f188])).
% 0.10/0.46 fof(f305,plain,(
% 0.10/0.46 ![X0,X1]: (X0=multiply(X1,multiply(X0,inverse(X1))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f130,f259])).
% 0.10/0.46 fof(f319,plain,(
% 0.10/0.46 ![X0,X1]: (X0=multiply(double_divide(inverse(X0),X1),X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f305,f188])).
% 0.10/0.46 fof(f456,plain,(
% 0.10/0.46 ![X0]: (X0=inverse(inverse(X0)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f130,f319])).
% 0.10/0.46 fof(f488,plain,(
% 0.10/0.46 ![X0,X1]: (double_divide(X0,X1)=inverse(multiply(X1,X0)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f5,f456])).
% 0.10/0.46 fof(f489,plain,(
% 0.10/0.46 ![X0,X1]: (inverse(X0)=multiply(double_divide(X0,X1),X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f456,f319])).
% 0.10/0.46 fof(f644,plain,(
% 0.10/0.46 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=inverse(inverse(X1)))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f489,f488])).
% 0.14/0.48 fof(f667,plain,(
% 0.14/0.48 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f456,f644])).
% 0.14/0.48 fof(f768,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f667,f17])).
% 0.14/0.48 fof(f968,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 inference(backward_subsumption_resolution,[status(thm)],[f6,f768])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.48 % Elapsed time: 0.118040 seconds
% 0.14/0.48 % CPU time: 0.781728 seconds
% 0.14/0.48 % Total memory used: 33.413 MB
% 0.14/0.48 % Net memory used: 33.202 MB
%------------------------------------------------------------------------------