%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP610-1 : 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 : n002.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 0.13s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP610-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:20:31 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.13/0.52 % Refutation found
% 0.13/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.52 fof(f1,axiom,(
% 0.13/0.52 (![A,B,C]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B ))),
% 0.13/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.52 fof(f2,axiom,(
% 0.13/0.52 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.52 fof(f3,negated_conjecture,(
% 0.13/0.52 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.13/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.52 fof(f4,plain,(
% 0.13/0.52 ![X0,X1,X2]: (inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2)))=X1)),
% 0.13/0.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.52 fof(f5,plain,(
% 0.13/0.52 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.52 fof(f6,plain,(
% 0.13/0.52 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.13/0.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.52 fof(f11,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1)))=X2)),
% 0.13/0.52 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.52 fof(f12,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2))))=X2)),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 0.13/0.52 fof(f13,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0)))=X2)),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.13/0.52 fof(f14,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0)=X2)),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.52 fof(f15,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1))=double_divide(X2,X0))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.52 fof(f20,plain,(
% 0.13/0.52 ![X0,X1,X2]: (X0=double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f14,f15])).
% 0.13/0.52 fof(f36,plain,(
% 0.13/0.52 ![X0,X1,X2]: (X0=double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f15,f20])).
% 0.13/0.52 fof(f38,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0)=double_divide(X2,multiply(X3,X1)))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f20,f20])).
% 0.13/0.52 fof(f45,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1)=inverse(X2))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.13/0.52 fof(f59,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0))=inverse(X1))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f36,f5])).
% 0.13/0.52 fof(f69,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),X1)),inverse(X3))=X2)),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f45,f13])).
% 0.13/0.52 fof(f75,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(inverse(X0),double_divide(X1,X2)),multiply(double_divide(multiply(X3,X1),X0),X3))=X2)),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f45,f14])).
% 0.13/0.52 fof(f79,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1))=X2)),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f38,f69])).
% 0.13/0.52 fof(f81,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=inverse(multiply(double_divide(multiply(X3,X2),X1),X3)))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f45,f59])).
% 0.13/0.52 fof(f84,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),X0))=inverse(double_divide(X3,multiply(X1,X2))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f59,f59])).
% 0.13/0.52 fof(f103,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,inverse(X1)),multiply(multiply(X2,X3),X0))=multiply(multiply(X1,X2),X3))),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f84])).
% 0.13/0.52 fof(f107,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,inverse(X1))),inverse(multiply(double_divide(multiply(X2,X3),X1),X2)))=X3)),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f45,f79])).
% 0.13/0.52 fof(f112,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,X1)),inverse(double_divide(X2,X3)))=multiply(X3,multiply(X1,X2)))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f13,f79])).
% 0.13/0.52 fof(f113,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,multiply(double_divide(X1,X2),X3))),multiply(X2,X1))=X3)),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f5,f79])).
% 0.13/0.52 fof(f114,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(X0,X1)=inverse(double_divide(multiply(inverse(X2),X1),multiply(X2,X0))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f79,f45])).
% 0.13/0.52 fof(f115,plain,(
% 0.13/0.52 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),X1),multiply(X0,X2))=double_divide(X1,X2))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f79,f20])).
% 0.13/0.52 fof(f135,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3))=multiply(X2,multiply(X1,X3)))),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f112])).
% 0.13/0.52 fof(f136,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f135,f113])).
% 0.13/0.52 fof(f138,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X2,X0),multiply(inverse(X2),X1)))),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f114])).
% 0.13/0.52 fof(f155,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (X0=double_divide(multiply(multiply(multiply(double_divide(X1,X0),X2),X1),X3),double_divide(X3,X2)))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f136,f36])).
% 0.13/0.52 fof(f159,plain,(
% 0.13/0.52 ![X0,X1,X2,X3,X4]: (multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3))=double_divide(multiply(multiply(double_divide(X4,X3),X1),X4),X0))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f136,f15])).
% 0.13/0.52 fof(f169,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(multiply(multiply(double_divide(X0,X1),X2),X0),X3)=multiply(X2,multiply(inverse(X1),X3)))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f136,f138])).
% 0.13/0.52 fof(f197,plain,(
% 0.13/0.52 ![X0,X1,X2]: (X0=double_divide(multiply(X1,multiply(inverse(X0),X2)),double_divide(X2,X1)))),
% 0.13/0.52 inference(backward_demodulation,[status(thm)],[f169,f155])).
% 0.13/0.52 fof(f209,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3)=double_divide(X2,multiply(X1,multiply(X3,X0))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f13,f115])).
% 0.13/0.52 fof(f213,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f115,f20])).
% 0.13/0.52 fof(f237,plain,(
% 0.13/0.52 ![X0,X1,X2,X3,X4]: (multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3))=double_divide(X4,multiply(double_divide(X4,X3),multiply(X0,X1))))),
% 0.13/0.52 inference(backward_demodulation,[status(thm)],[f243,f159])).
% 0.13/0.52 fof(f243,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,X1),X2),X3)=double_divide(X2,multiply(X0,multiply(X3,X1))))),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f209])).
% 0.13/0.52 fof(f376,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(X1,X2),inverse(X0)))=double_divide(X1,X2))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f197,f15])).
% 0.13/0.52 fof(f404,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(X1,X2),X3),X1))=double_divide(X2,multiply(X3,inverse(X0))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f20,f213])).
% 0.13/0.52 fof(f406,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),X2)=double_divide(X3,multiply(double_divide(X3,X2),multiply(X1,X0))))),
% 0.13/0.52 inference(paramodulation,[status(thm)],[f5,f213])).
% 0.13/0.52 fof(f434,plain,(
% 0.13/0.52 ![X0,X1,X2]: (double_divide(X0,multiply(X1,inverse(double_divide(inverse(X1),double_divide(X0,X2)))))=X2)),
% 0.13/0.52 inference(backward_demodulation,[status(thm)],[f404,f75])).
% 0.13/0.52 fof(f446,plain,(
% 0.13/0.52 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3))=multiply(double_divide(X1,X0),X3))),
% 0.13/0.52 inference(backward_demodulation,[status(thm)],[f406,f237])).
% 0.13/0.52 fof(f466,plain,(
% 0.13/0.52 ![X0,X1,X2]: (double_divide(X0,multiply(X1,multiply(double_divide(X0,X2),inverse(X1))))=X2)),
% 0.13/0.52 inference(forward_demodulation,[status(thm)],[f5,f434])).
% 0.13/0.52 fof(f468,plain,(
% 0.13/0.52 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(double_divide(multiply(X1,X2),X0),X1)))=X2)),
% 0.13/0.52 inference(backward_demodulation,[status(thm)],[f485,f107])).
% 0.13/0.54 fof(f485,plain,(
% 0.13/0.54 ![X0,X1]: (double_divide(X0,double_divide(X0,X1))=X1)),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f376,f466])).
% 0.13/0.54 fof(f500,plain,(
% 0.13/0.54 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),X2),X0)=double_divide(X1,X2))),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f446,f15])).
% 0.13/0.54 fof(f536,plain,(
% 0.13/0.54 ![X0,X1]: (multiply(inverse(X0),inverse(double_divide(X1,X0)))=X1)),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f500,f468])).
% 0.13/0.54 fof(f546,plain,(
% 0.13/0.54 ![X0,X1,X2]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=inverse(double_divide(X2,X1)))),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f500,f81])).
% 0.13/0.54 fof(f636,plain,(
% 0.13/0.54 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f5,f536])).
% 0.13/0.54 fof(f645,plain,(
% 0.13/0.54 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f646,f103])).
% 0.13/0.54 fof(f646,plain,(
% 0.13/0.54 ![X0,X1,X2]: (multiply(double_divide(X0,inverse(X1)),multiply(X2,X0))=multiply(X1,X2))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f5,f546])).
% 0.13/0.54 fof(f729,plain,(
% 0.13/0.54 ~multiply(inverse(b2),multiply(b2,a2))=a2),
% 0.13/0.54 inference(backward_demodulation,[status(thm)],[f645,f6])).
% 0.13/0.54 fof(f770,plain,(
% 0.13/0.54 ~a2=a2),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f636,f729])).
% 0.13/0.54 fof(f771,plain,(
% 0.13/0.54 $false),
% 0.13/0.54 inference(trivial_equality_resolution,[status(thm)],[f770])).
% 0.13/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.36/0.54 % Elapsed time: 0.183608 seconds
% 0.36/0.54 % CPU time: 1.276661 seconds
% 0.36/0.54 % Total memory used: 43.997 MB
% 0.36/0.54 % Net memory used: 42.514 MB
%------------------------------------------------------------------------------