%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP603-1 : 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 : n017.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 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP603-1 : 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 : n017.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 20:12:56 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.44 fof(f1,axiom,(
% 0.12/0.44 (![A,B,C]: (inverse(double_divide(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f2,axiom,(
% 0.12/0.44 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f3,negated_conjecture,(
% 0.12/0.44 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f4,plain,(
% 0.12/0.44 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2))=X1)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.44 fof(f5,plain,(
% 0.12/0.44 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.44 fof(f6,plain,(
% 0.12/0.44 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.44 fof(f12,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(X0,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X0))))))=X2)),
% 0.12/0.44 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.12/0.44 fof(f13,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(X0,multiply(inverse(double_divide(X1,double_divide(X2,X0))),X2))=X1)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.12/0.44 fof(f14,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.12/0.44 fof(f15,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.12/0.44 fof(f17,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.12/0.44 fof(f19,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.12/0.44 fof(f20,plain,(
% 0.12/0.44 ![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)),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.12/0.44 fof(f22,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.12/0.44 fof(f60,plain,(
% 0.12/0.44 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f19,f22])).
% 0.12/0.44 fof(f94,plain,(
% 0.12/0.44 ![X0,X1,X2]: (X0=double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f22,f60])).
% 0.12/0.44 fof(f111,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1)=inverse(X2))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f60,f5])).
% 0.12/0.44 fof(f136,plain,(
% 0.12/0.44 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=inverse(X1))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f94,f5])).
% 0.12/0.44 fof(f166,plain,(
% 0.12/0.44 ![X0,X1,X2]: (X0=inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f20,f136])).
% 0.12/0.44 fof(f171,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),X0))=inverse(double_divide(X3,multiply(X1,X2))))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f136,f136])).
% 0.12/0.44 fof(f173,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=inverse(multiply(double_divide(multiply(X3,X2),X1),X3)))),
% 0.12/0.44 inference(paramodulation,[status(thm)],[f111,f136])).
% 0.12/0.44 fof(f199,plain,(
% 0.12/0.44 ![X0,X1,X2]: (X0=multiply(double_divide(X1,X2),multiply(X0,multiply(X2,X1))))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f5,f166])).
% 0.12/0.44 fof(f203,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),X0))=multiply(multiply(X1,X2),X3))),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f5,f171])).
% 0.12/0.44 fof(f216,plain,(
% 0.12/0.44 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(double_divide(multiply(X2,X0),X1),X2))),
% 0.12/0.45 inference(paramodulation,[status(thm)],[f17,f199])).
% 0.12/0.45 fof(f308,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=inverse(double_divide(X2,X1)))),
% 0.12/0.45 inference(backward_demodulation,[status(thm)],[f216,f173])).
% 0.12/0.45 fof(f455,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.12/0.45 inference(backward_demodulation,[status(thm)],[f456,f203])).
% 0.12/0.45 fof(f456,plain,(
% 0.12/0.45 ![X0,X1,X2]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=multiply(X1,X2))),
% 0.12/0.45 inference(forward_demodulation,[status(thm)],[f5,f308])).
% 0.12/0.45 fof(f599,plain,(
% 0.12/0.45 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.12/0.45 inference(backward_demodulation,[status(thm)],[f455,f6])).
% 0.12/0.45 fof(f671,plain,(
% 0.12/0.45 $false),
% 0.12/0.45 inference(trivial_equality_resolution,[status(thm)],[f599])).
% 0.12/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.088989 seconds
% 0.12/0.45 % CPU time: 0.582953 seconds
% 0.12/0.45 % Total memory used: 29.202 MB
% 0.12/0.45 % Net memory used: 28.834 MB
%------------------------------------------------------------------------------