%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP074-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:35:36 PM UTC 2026
% Result : Unsatisfiable 23.91s 3.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP074-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.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 19:56:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 23.91/3.48 % Refutation found
% 23.91/3.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.91/3.48 % SZS output start CNFRefutation for theBenchmark
% 23.91/3.48 fof(f1,axiom,(
% 23.91/3.48 (![X,Y,Z,U]: (divide(inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,U)))),U) = Z ))),
% 23.91/3.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.91/3.48 fof(f2,axiom,(
% 23.91/3.48 (![X,Y]: (multiply(X,Y) = divide(X,inverse(Y)) ))),
% 23.91/3.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.91/3.48 fof(f3,negated_conjecture,(
% 23.91/3.48 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 23.91/3.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.91/3.48 fof(f4,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3)=X2)),
% 23.91/3.48 inference(cnf_transformation,[status(thm)],[f1])).
% 23.91/3.48 fof(f5,plain,(
% 23.91/3.48 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 23.91/3.48 inference(cnf_transformation,[status(thm)],[f2])).
% 23.91/3.48 fof(f6,plain,(
% 23.91/3.48 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 23.91/3.48 inference(cnf_transformation,[status(thm)],[f3])).
% 23.91/3.48 fof(f7,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3)=X2)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f4])).
% 23.91/3.48 fof(f8,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3)=X2)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f4])).
% 23.91/3.48 fof(f10,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3)=inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(X1,X3))))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f4,f4])).
% 23.91/3.48 fof(f11,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4))))),divide(X5,X3))),X4)=X5)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f4,f4])).
% 23.91/3.48 fof(f14,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3)=X2)),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f7])).
% 23.91/3.48 fof(f15,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),divide(X5,X3))),X4)=X5)),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f11])).
% 23.91/3.48 fof(f25,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3)=inverse(divide(multiply(divide(X4,X4),X5),divide(X2,divide(inverse(X5),divide(inverse(X1),X3))))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f8,f8])).
% 23.91/3.48 fof(f26,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3)=inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(inverse(X1),X3))))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f4,f8])).
% 23.91/3.48 fof(f165,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3))=X2)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f10,f4])).
% 23.91/3.48 fof(f285,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3)))=X2)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f165])).
% 23.91/3.48 fof(f317,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3))=X2)),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f285])).
% 23.91/3.48 fof(f338,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3))=inverse(X2))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f317])).
% 23.91/3.48 fof(f339,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (divide(multiply(inverse(divide(X0,X1)),X2),multiply(divide(X3,inverse(divide(divide(divide(X4,X4),X3),X0))),X2))=X1)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f165,f317])).
% 23.91/3.48 fof(f340,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3))=X2)),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f317])).
% 23.91/3.48 fof(f359,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2))=X1)),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f339])).
% 23.91/3.48 fof(f630,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(inverse(multiply(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3))=inverse(X2))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f338])).
% 23.91/3.48 fof(f1343,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5,X6]: (X0=inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f15,f26])).
% 23.91/3.48 fof(f1499,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,X3)))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f4,f1343])).
% 23.91/3.48 fof(f1656,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=inverse(divide(divide(divide(X1,X1),X2),divide(multiply(X0,X3),divide(X2,inverse(X3))))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f1499])).
% 23.91/3.48 fof(f1681,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),multiply(X2,X1))=divide(divide(X0,X3),divide(X2,X3)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1499,f317])).
% 23.91/3.48 fof(f1682,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(divide(X0,X1),divide(X2,X1))=divide(divide(X0,X3),divide(X2,X3)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1499,f165])).
% 23.91/3.48 fof(f1699,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (multiply(X0,divide(divide(divide(X1,X1),X2),divide(divide(X3,X4),divide(X2,X4))))=divide(X0,X3))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1499,f5])).
% 23.91/3.48 fof(f1709,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=inverse(divide(divide(divide(X1,X1),X2),divide(multiply(X0,X3),multiply(X2,X3)))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f1656])).
% 23.91/3.48 fof(f1745,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (divide(multiply(X0,X1),multiply(X2,X1))=divide(multiply(X0,X3),multiply(X2,X3)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1681,f1681])).
% 23.91/3.48 fof(f1855,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),multiply(X2,X1))),X3),multiply(X4,X3))=divide(X2,X4))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1681,f317])).
% 23.91/3.48 fof(f1877,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5,X6]: (divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3)=inverse(divide(multiply(divide(X4,X4),X5),divide(multiply(X2,X6),multiply(inverse(X5),X6)))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1681,f25])).
% 23.91/3.48 fof(f1938,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=inverse(divide(multiply(divide(X1,X1),X2),divide(multiply(X0,X3),multiply(inverse(X2),X3)))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f8,f1877])).
% 23.91/3.48 fof(f2475,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (multiply(X0,divide(divide(divide(X1,X1),X2),divide(multiply(X3,X4),multiply(X2,X4))))=divide(X0,X3))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1709,f5])).
% 23.91/3.48 fof(f2915,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=inverse(divide(multiply(multiply(inverse(X1),X1),X2),divide(multiply(X0,X3),multiply(inverse(X2),X3)))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f1938])).
% 23.91/3.48 fof(f18417,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (multiply(X0,X1)=divide(X0,multiply(X2,divide(divide(divide(X3,X3),X2),multiply(divide(X4,X4),X1)))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f359,f1855])).
% 23.91/3.48 fof(f18954,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5,X6]: (divide(multiply(inverse(multiply(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3))=multiply(X4,divide(divide(divide(X5,X5),X4),multiply(divide(X6,X6),X2))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f18417,f340])).
% 23.91/3.48 fof(f19321,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (inverse(X0)=multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X0))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f630,f18954])).
% 23.91/3.48 fof(f19486,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5,X6]: (inverse(divide(divide(divide(X0,X0),X1),divide(multiply(X2,X3),multiply(X1,X3))))=multiply(X4,divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f2475,f19321])).
% 23.91/3.48 fof(f19655,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=multiply(X1,divide(divide(divide(X2,X2),X1),divide(divide(X3,X3),X0))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f1709,f19486])).
% 23.91/3.48 fof(f19727,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (X0=multiply(X0,divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1682,f19655])).
% 23.91/3.48 fof(f20208,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4,X5]: (divide(multiply(X0,X1),multiply(X2,X1))=divide(multiply(X0,divide(divide(divide(X3,X3),X4),divide(divide(X5,X5),X4))),X2))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f19727,f1745])).
% 23.91/3.48 fof(f20364,plain,(
% 23.91/3.48 ![X0,X1,X2]: (divide(multiply(X0,X1),multiply(X2,X1))=divide(X0,X2))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f19727,f20208])).
% 23.91/3.48 fof(f22488,plain,(
% 23.91/3.48 ![X0,X1,X2]: (X0=inverse(divide(multiply(multiply(inverse(X1),X1),X2),divide(X0,inverse(X2)))))),
% 23.91/3.48 inference(backward_demodulation,[status(thm)],[f20364,f2915])).
% 23.91/3.48 fof(f22489,plain,(
% 23.91/3.48 ![X0,X1,X2]: (X0=inverse(divide(multiply(divide(X1,X1),X2),divide(X0,inverse(X2)))))),
% 23.91/3.48 inference(backward_demodulation,[status(thm)],[f20364,f1938])).
% 23.91/3.48 fof(f22710,plain,(
% 23.91/3.48 ![X0,X1,X2]: (X0=inverse(divide(multiply(multiply(inverse(X1),X1),X2),multiply(X0,X2))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f22488])).
% 23.91/3.48 fof(f22711,plain,(
% 23.91/3.48 ![X0,X1]: (X0=inverse(divide(multiply(inverse(X1),X1),X0)))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f20364,f22710])).
% 23.91/3.48 fof(f22712,plain,(
% 23.91/3.48 ![X0,X1,X2]: (X0=inverse(divide(multiply(divide(X1,X1),X2),multiply(X0,X2))))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f5,f22489])).
% 23.91/3.48 fof(f22713,plain,(
% 23.91/3.48 ![X0,X1]: (X0=inverse(divide(divide(X1,X1),X0)))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f20364,f22712])).
% 23.91/3.48 fof(f22774,plain,(
% 23.91/3.48 ![X0,X1]: (inverse(X0)=inverse(multiply(divide(X1,X1),X0)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f22713])).
% 23.91/3.48 fof(f22911,plain,(
% 23.91/3.48 ![X0,X1]: (multiply(X0,X1)=inverse(divide(inverse(X1),X0)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f20364,f22711])).
% 23.91/3.48 fof(f23192,plain,(
% 23.91/3.48 ![X0,X1,X2,X3,X4]: (multiply(X0,divide(divide(divide(X1,X1),X2),divide(divide(X3,X4),divide(X2,X4))))=inverse(divide(X3,X0)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f1499,f22911])).
% 23.91/3.48 fof(f23274,plain,(
% 23.91/3.48 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f1699,f23192])).
% 23.91/3.48 fof(f24211,plain,(
% 23.91/3.48 ![X0,X1]: (X0=divide(X0,multiply(inverse(X1),X1)))),
% 23.91/3.48 inference(backward_demodulation,[status(thm)],[f23274,f22711])).
% 23.91/3.48 fof(f24249,plain,(
% 23.91/3.48 ![X0,X1,X2,X3]: (multiply(divide(divide(X0,multiply(X1,X2)),divide(divide(X3,X3),X1)),X2)=X0)),
% 23.91/3.48 inference(backward_demodulation,[status(thm)],[f23274,f14])).
% 23.91/3.48 fof(f24259,plain,(
% 23.91/3.48 ![X0,X1]: (X0=divide(X0,divide(X1,X1)))),
% 23.91/3.48 inference(backward_demodulation,[status(thm)],[f23274,f22713])).
% 23.91/3.48 fof(f24320,plain,(
% 23.91/3.48 ![X0,X1,X2]: (X0=multiply(X0,divide(divide(X1,X1),divide(X2,X2))))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f24259,f19727])).
% 23.91/3.48 fof(f24345,plain,(
% 23.91/3.48 ![X0,X1]: (divide(divide(X0,X0),X1)=inverse(X1))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f24259,f23274])).
% 23.91/3.48 fof(f24384,plain,(
% 23.91/3.48 ![X0,X1]: (X0=multiply(X0,divide(X1,X1)))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f24259,f24320])).
% 23.91/3.48 fof(f24436,plain,(
% 23.91/3.48 ![X0,X1]: (inverse(divide(X0,X0))=inverse(divide(X1,X1)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f24384,f22774])).
% 23.91/3.48 fof(f24492,plain,(
% 23.91/3.48 ![X0,X1]: (divide(X0,X0)=inverse(divide(X1,X1)))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f23274,f24436])).
% 23.91/3.48 fof(f24493,plain,(
% 23.91/3.48 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f23274,f24492])).
% 23.91/3.48 fof(f24533,plain,(
% 23.91/3.48 ![X0,X1]: (multiply(inverse(X0),X0)=divide(X1,X1))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f5,f24493])).
% 23.91/3.48 fof(f24920,plain,(
% 23.91/3.48 ![X0,X1]: (divide(X0,divide(X1,X1))=inverse(inverse(X0)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f24345,f23274])).
% 23.91/3.48 fof(f24958,plain,(
% 23.91/3.48 ![X0]: (X0=inverse(inverse(X0)))),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f24259,f24920])).
% 23.91/3.48 fof(f24983,plain,(
% 23.91/3.48 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 23.91/3.48 inference(paramodulation,[status(thm)],[f22774,f24958])).
% 23.91/3.48 fof(f24994,plain,(
% 23.91/3.48 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 23.91/3.48 inference(forward_demodulation,[status(thm)],[f24958,f24983])).
% 23.91/3.51 fof(f25006,plain,(
% 23.91/3.51 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 23.91/3.51 inference(paramodulation,[status(thm)],[f24211,f24994])).
% 23.91/3.51 fof(f25013,plain,(
% 23.91/3.51 ![X0,X1,X2]: (divide(multiply(X0,X1),X1)=divide(X0,divide(X2,X2)))),
% 23.91/3.51 inference(paramodulation,[status(thm)],[f24994,f20364])).
% 23.91/3.51 fof(f25016,plain,(
% 23.91/3.51 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 23.91/3.51 inference(forward_demodulation,[status(thm)],[f24259,f25013])).
% 23.91/3.51 fof(f25235,plain,(
% 23.91/3.51 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 23.91/3.51 inference(paramodulation,[status(thm)],[f24211,f24533])).
% 23.91/3.51 fof(f25485,plain,(
% 23.91/3.51 ![X0,X1,X2]: (multiply(divide(divide(X0,multiply(X1,X2)),inverse(X1)),X2)=X0)),
% 23.91/3.51 inference(forward_demodulation,[status(thm)],[f24345,f24249])).
% 23.91/3.51 fof(f25486,plain,(
% 23.91/3.51 ![X0,X1,X2]: (multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2)=X0)),
% 23.91/3.51 inference(forward_demodulation,[status(thm)],[f5,f25485])).
% 23.91/3.51 fof(f25494,plain,(
% 23.91/3.51 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 23.91/3.51 inference(paramodulation,[status(thm)],[f25016,f25486])).
% 23.91/3.51 fof(f25651,plain,(
% 23.91/3.51 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 23.91/3.51 inference(backward_demodulation,[status(thm)],[f25006,f6])).
% 23.91/3.51 fof(f25670,plain,(
% 23.91/3.51 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 23.91/3.51 inference(trivial_equality_resolution,[status(thm)],[f25651])).
% 23.91/3.51 fof(f26170,plain,(
% 23.91/3.51 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 23.91/3.51 inference(backward_subsumption_resolution,[status(thm)],[f25670,f25235])).
% 23.91/3.51 fof(f29382,plain,(
% 23.91/3.51 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 23.91/3.51 inference(backward_demodulation,[status(thm)],[f25494,f26170])).
% 23.91/3.51 fof(f29411,plain,(
% 23.91/3.51 $false),
% 23.91/3.51 inference(trivial_equality_resolution,[status(thm)],[f29382])).
% 23.91/3.51 % SZS output end CNFRefutation for theBenchmark.p
% 23.91/3.53 % Elapsed time: 3.163232 seconds
% 23.91/3.53 % CPU time: 24.722102 seconds
% 23.91/3.53 % Total memory used: 303.837 MB
% 23.91/3.53 % Net memory used: 299.387 MB
%------------------------------------------------------------------------------