%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP590-1 : 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 : n026.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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP590-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.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 20:20:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (![A,B,C]: (double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,negated_conjecture,(
% 0.15/0.40 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.15/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f4,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1)=X2)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.40 fof(f5,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.40 fof(f6,plain,(
% 0.15/0.40 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.40 fof(f11,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2)=X1)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.15/0.40 fof(f12,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2)=X0)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.15/0.40 fof(f14,plain,(
% 0.15/0.40 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3)=X0)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.15/0.40 fof(f15,plain,(
% 0.15/0.40 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0)))=inverse(X1))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f12,f5])).
% 0.15/0.40 fof(f43,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(multiply(inverse(X0),X0),inverse(X1))=X1)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.15/0.40 fof(f62,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2))=X0)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f43,f12])).
% 0.15/0.40 fof(f63,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X1))=inverse(X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f43,f5])).
% 0.15/0.40 fof(f64,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f63,f62])).
% 0.15/0.40 fof(f83,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X1),X1)))=X0)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f63,f64])).
% 0.15/0.40 fof(f84,plain,(
% 0.15/0.40 ![X0,X1]: (double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1))=X1)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f63,f43])).
% 0.15/0.40 fof(f111,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(multiply(inverse(X2),X2)))=double_divide(X1,X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f5,f83])).
% 0.15/0.40 fof(f118,plain,(
% 0.15/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),inverse(X1)),X1),inverse(multiply(inverse(X2),X2)))=X0)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f83,f12])).
% 0.15/0.40 fof(f122,plain,(
% 0.15/0.41 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),inverse(X0)))=X1)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f111,f118])).
% 0.15/0.41 fof(f199,plain,(
% 0.15/0.41 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f83,f84])).
% 0.15/0.41 fof(f227,plain,(
% 0.15/0.41 ![X0]: (~multiply(multiply(inverse(X0),X0),a2)=a2)),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f199,f6])).
% 0.15/0.41 fof(f228,plain,(
% 0.15/0.41 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),X1))=inverse(X0))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f199,f122])).
% 0.15/0.41 fof(f275,plain,(
% 0.15/0.41 ![X0,X1]: (double_divide(X0,inverse(multiply(inverse(X1),X1)))=inverse(X0))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f63,f228])).
% 0.15/0.41 fof(f290,plain,(
% 0.15/0.41 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f228,f5])).
% 0.15/0.41 fof(f294,plain,(
% 0.15/0.41 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f275,f83])).
% 0.15/0.41 fof(f302,plain,(
% 0.15/0.41 ~inverse(inverse(a2))=a2),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f290,f227])).
% 0.15/0.41 fof(f343,plain,(
% 0.15/0.41 ~a2=a2),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f294,f302])).
% 0.15/0.41 fof(f344,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f343])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.042810 seconds
% 0.15/0.42 % CPU time: 0.215895 seconds
% 0.15/0.42 % Total memory used: 12.254 MB
% 0.15/0.42 % Net memory used: 12.209 MB
%------------------------------------------------------------------------------