%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP500-1 : 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 : n013.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 12:36:43 PM UTC 2026
% Result : Unsatisfiable 9.53s 1.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP500-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:14:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 9.53/1.63 % Refutation found
% 9.53/1.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.53/1.63 % SZS output start CNFRefutation for theBenchmark
% 9.53/1.63 fof(f1,axiom,(
% 9.53/1.63 (![A,B,C,D]: (double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C ))),
% 9.53/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.53/1.63 fof(f2,axiom,(
% 9.53/1.63 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 9.53/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.53/1.63 fof(f3,negated_conjecture,(
% 9.53/1.63 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 9.53/1.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 9.53/1.63 fof(f4,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3)))))=X2)),
% 9.53/1.63 inference(cnf_transformation,[status(thm)],[f1])).
% 9.53/1.63 fof(f5,plain,(
% 9.53/1.63 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 9.53/1.63 inference(cnf_transformation,[status(thm)],[f2])).
% 9.53/1.63 fof(f6,plain,(
% 9.53/1.63 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 9.53/1.63 inference(cnf_transformation,[status(thm)],[f3])).
% 9.53/1.63 fof(f11,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),inverse(double_divide(X0,double_divide(X2,X3)))))=X3)),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f5,f4])).
% 9.53/1.63 fof(f12,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0)))=X3)),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 9.53/1.63 fof(f13,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X1,X0))))=X4)),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f5,f12])).
% 9.53/1.63 fof(f15,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4,X5]: (double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0)))=multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),X2)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f12,f12])).
% 9.53/1.63 fof(f16,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),inverse(X3))=inverse(X2))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f12,f5])).
% 9.53/1.63 fof(f19,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),double_divide(X3,X4))),multiply(X4,X3))=inverse(X2))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f5,f16])).
% 9.53/1.63 fof(f70,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (X0=multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X0)),X3)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f12,f15])).
% 9.53/1.63 fof(f107,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(double_divide(X1,X0)),X3)),multiply(X4,X2))))=X4)),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f15,f13])).
% 9.53/1.63 fof(f117,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(multiply(X0,X1),X3)),multiply(X4,X2))))=X4)),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f5,f107])).
% 9.53/1.63 fof(f127,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (X0=multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(multiply(X3,X4),X0)),double_divide(X4,X3))))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f5,f70])).
% 9.53/1.63 fof(f266,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4,X5,X6,X7]: (double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,double_divide(multiply(X5,X6),X0)),double_divide(X6,X5))),X2)),multiply(X7,X1))))=X7)),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f127,f117])).
% 9.53/1.63 fof(f313,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X0,X2)),multiply(X3,X1))))=X3)),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f127,f266])).
% 9.53/1.63 fof(f349,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,double_divide(X1,X0)),multiply(X2,X3))=multiply(double_divide(X4,double_divide(X1,X4)),multiply(X2,X3)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f313,f70])).
% 9.53/1.63 fof(f369,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,X0))),X2)=inverse(X3))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f313,f5])).
% 9.53/1.63 fof(f557,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(double_divide(X0,double_divide(X1,X0)),X2)=multiply(double_divide(X3,double_divide(X1,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(multiply(X6,X7),X2)),double_divide(X7,X6)))))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f127,f349])).
% 9.53/1.63 fof(f613,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X0,X1)))),X3)=inverse(double_divide(X6,double_divide(X5,X6))))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f349,f369])).
% 9.53/1.63 fof(f614,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4,X5,X6]: (double_divide(X0,double_divide(inverse(multiply(X1,X2)),multiply(double_divide(X3,double_divide(X0,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X1,X2)))))=double_divide(X6,double_divide(X5,X6)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f349,f313])).
% 9.53/1.63 fof(f652,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(X1,X0)),X2)=multiply(double_divide(X3,double_divide(X1,X3)),X2))),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f127,f557])).
% 9.53/1.63 fof(f665,plain,(
% 9.53/1.63 ![X0,X1,X2]: (inverse(double_divide(X0,double_divide(X1,X0)))=inverse(double_divide(X2,double_divide(X1,X2))))),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f369,f613])).
% 9.53/1.63 fof(f666,plain,(
% 9.53/1.63 ![X0,X1,X2]: (multiply(double_divide(X0,X1),X1)=inverse(double_divide(X2,double_divide(X0,X2))))),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f5,f665])).
% 9.53/1.63 fof(f667,plain,(
% 9.53/1.63 ![X0,X1,X2]: (multiply(double_divide(X0,X1),X1)=multiply(double_divide(X0,X2),X2))),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f5,f666])).
% 9.53/1.63 fof(f668,plain,(
% 9.53/1.63 ![X0,X1,X2]: (double_divide(X0,double_divide(X1,X0))=double_divide(X2,double_divide(X1,X2)))),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f313,f614])).
% 9.53/1.63 fof(f695,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4))=inverse(double_divide(X4,X3)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f667,f19])).
% 9.53/1.63 fof(f737,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4]: (multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4))=multiply(X3,X4))),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f5,f695])).
% 9.53/1.63 fof(f769,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (X0=multiply(double_divide(X1,double_divide(X0,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f668,f70])).
% 9.53/1.63 fof(f786,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),X1)=multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X0)))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f668,f667])).
% 9.53/1.63 fof(f2224,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (X0=multiply(double_divide(X1,double_divide(X0,X1)),inverse(multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3))))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f769,f769])).
% 9.53/1.63 fof(f2849,plain,(
% 9.53/1.63 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3)=multiply(double_divide(X4,double_divide(X3,X4)),inverse(multiply(double_divide(X5,double_divide(inverse(X6),X5)),X6))))),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f2224,f737])).
% 9.53/1.63 fof(f2889,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3)=X3)),
% 9.53/1.63 inference(forward_demodulation,[status(thm)],[f2224,f2849])).
% 9.53/1.63 fof(f3246,plain,(
% 9.53/1.63 ![X0,X1,X2,X3]: (multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,X0))),X3)=X3)),
% 9.53/1.63 inference(paramodulation,[status(thm)],[f15,f2889])).
% 9.53/1.63 fof(f3325,plain,(
% 9.53/1.63 ![X0,X1,X2]: (multiply(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(inverse(X0),X1)))),X2)=X2)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f769,f3246])).
% 9.53/1.66 fof(f3414,plain,(
% 9.53/1.66 ![X0,X1,X2]: (multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X0),X1),X1)),X2)=X2)),
% 9.53/1.66 inference(forward_demodulation,[status(thm)],[f5,f3325])).
% 9.53/1.66 fof(f3438,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,X1),multiply(double_divide(inverse(double_divide(X1,X0)),X2),X2)),X3)=X3)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f5,f3414])).
% 9.53/1.66 fof(f3506,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,X1),multiply(double_divide(multiply(X0,X1),X2),X2)),X3)=X3)),
% 9.53/1.66 inference(forward_demodulation,[status(thm)],[f5,f3438])).
% 9.53/1.66 fof(f3747,plain,(
% 9.53/1.66 ![X0,X1,X2,X3,X4,X5]: (multiply(double_divide(X0,multiply(double_divide(multiply(double_divide(multiply(X1,X2),multiply(double_divide(multiply(X1,X2),X3),X3)),X0),X4),X4)),X5)=X5)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f3506,f3506])).
% 9.53/1.66 fof(f3862,plain,(
% 9.53/1.66 ![X0,X1,X2]: (multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2)=X2)),
% 9.53/1.66 inference(forward_demodulation,[status(thm)],[f3506,f3747])).
% 9.53/1.66 fof(f3898,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(double_divide(X0,multiply(double_divide(X1,double_divide(X2,X1)),double_divide(X2,X0))),X3)=X3)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f652,f3862])).
% 9.53/1.66 fof(f3946,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),X0))=multiply(double_divide(X2,X3),X3))),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f3862,f12])).
% 9.53/1.66 fof(f4629,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (double_divide(inverse(double_divide(X0,X1)),multiply(double_divide(X1,X2),X2))=multiply(double_divide(X0,X3),X3))),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f786,f3946])).
% 9.53/1.66 fof(f4868,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),multiply(double_divide(X0,X2),X2))=multiply(double_divide(X1,X3),X3))),
% 9.53/1.66 inference(forward_demodulation,[status(thm)],[f5,f4629])).
% 9.53/1.66 fof(f5361,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(multiply(X1,X0),multiply(double_divide(X1,X2),X2))),X3)=X3)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f4868,f3898])).
% 9.53/1.66 fof(f5422,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),X1)=double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X0))),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f786,f5361])).
% 9.53/1.66 fof(f5430,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(double_divide(X0,double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),X0)),X3)=X3)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f652,f5361])).
% 9.53/1.66 fof(f5537,plain,(
% 9.53/1.66 ![X0,X1,X2,X3]: (multiply(multiply(double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X2),X2),X3)=X3)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f5361,f2889])).
% 9.53/1.66 fof(f7199,plain,(
% 9.53/1.66 ![X0,X1,X2,X3,X4]: (multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X1)),X0)),X4)=X4)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f3946,f5537])).
% 9.53/1.66 fof(f7203,plain,(
% 9.53/1.66 ![X0,X1,X2]: (multiply(multiply(multiply(double_divide(X0,X1),X1),X0),X2)=X2)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f5422,f5537])).
% 9.53/1.66 fof(f7300,plain,(
% 9.53/1.66 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),X1)=X1)),
% 9.53/1.66 inference(forward_demodulation,[status(thm)],[f5430,f7199])).
% 9.53/1.66 fof(f7655,plain,(
% 9.53/1.66 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),X1)=X0)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f667,f7300])).
% 9.53/1.66 fof(f7885,plain,(
% 9.53/1.66 ![X0,X1,X2]: (multiply(multiply(X0,multiply(double_divide(X0,X1),X1)),X2)=X2)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f5537,f7203])).
% 9.53/1.66 fof(f9001,plain,(
% 9.53/1.66 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 9.53/1.66 inference(paramodulation,[status(thm)],[f7655,f7885])).
% 9.53/1.66 fof(f9632,plain,(
% 9.53/1.66 ~a2=a2),
% 9.53/1.66 inference(backward_demodulation,[status(thm)],[f9001,f6])).
% 9.53/1.66 fof(f9679,plain,(
% 9.53/1.66 $false),
% 9.53/1.66 inference(trivial_equality_resolution,[status(thm)],[f9632])).
% 9.53/1.66 % SZS output end CNFRefutation for theBenchmark.p
% 6.05/1.70 % Elapsed time: 1.316287 seconds
% 6.05/1.70 % CPU time: 10.150863 seconds
% 6.05/1.70 % Total memory used: 171.404 MB
% 6.05/1.70 % Net memory used: 169.365 MB
%------------------------------------------------------------------------------