%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP111-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:35:39 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP111-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 19:56:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.59 fof(f1,axiom,(
% 0.14/0.59 (![X,Y,Z]: (double_divide(inverse(double_divide(inverse(double_divide(X,inverse(Y))),Z)),double_divide(X,Z)) = Y ))),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f2,axiom,(
% 0.14/0.59 (![X,Y]: (multiply(X,Y) = inverse(double_divide(Y,X)) ))),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f3,negated_conjecture,(
% 0.14/0.59 ( 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))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.14/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f4,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2))=X1)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.59 fof(f5,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.59 fof(f6,plain,(
% 0.14/0.59 ~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))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.59 fof(f7,definition,(
% 0.14/0.59 sQ0_spl <=> (multiply(inverse(a1),a1)=multiply(inverse(b1),b1))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f9,plain,(
% 0.14/0.59 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|sQ0_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f7])).
% 0.14/0.59 fof(f10,definition,(
% 0.14/0.59 sQ1_spl <=> (multiply(multiply(inverse(b2),b2),a2)=a2)),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f12,plain,(
% 0.14/0.59 ~multiply(multiply(inverse(b2),b2),a2)=a2|sQ1_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f10])).
% 0.14/0.59 fof(f13,definition,(
% 0.14/0.59 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f15,plain,(
% 0.14/0.59 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f13])).
% 0.14/0.59 fof(f16,definition,(
% 0.14/0.59 sQ3_spl <=> (multiply(a4,b4)=multiply(b4,a4))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f18,plain,(
% 0.14/0.59 ~multiply(a4,b4)=multiply(b4,a4)|sQ3_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f16])).
% 0.14/0.59 fof(f19,plain,(
% 0.14/0.59 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16])).
% 0.14/0.59 fof(f20,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0))=X2)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.14/0.59 fof(f21,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0))=X1)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f5,f20])).
% 0.14/0.59 fof(f22,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0))=double_divide(X2,X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f5,f21])).
% 0.14/0.59 fof(f23,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3)=X2)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f21,f21])).
% 0.14/0.59 fof(f24,plain,(
% 0.14/0.59 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0)))=inverse(X2))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f21,f5])).
% 0.14/0.59 fof(f25,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1)))))=inverse(X3))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f21,f24])).
% 0.14/0.59 fof(f27,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X3),X0)))=inverse(double_divide(X3,X2)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f5,f24])).
% 0.14/0.59 fof(f28,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))))=X2)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f24,f21])).
% 0.14/0.59 fof(f29,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X3),X0)))=multiply(X2,X3))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f5,f27])).
% 0.14/0.59 fof(f30,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3))))=double_divide(X3,X2))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f24,f22])).
% 0.14/0.59 fof(f46,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,multiply(inverse(X2),multiply(double_divide(X3,X4),multiply(inverse(X0),multiply(X4,multiply(inverse(X1),X3)))))))=inverse(X2))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f23,f24])).
% 0.14/0.59 fof(f59,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),double_divide(multiply(multiply(X0,X1),X2),double_divide(X2,inverse(X3))))=X3)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f29,f21])).
% 0.14/0.59 fof(f150,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0)))=inverse(X2))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f25,f25])).
% 0.14/0.59 fof(f161,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3)=X1)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f25,f23])).
% 0.14/0.59 fof(f174,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,multiply(inverse(X1),inverse(X0)))=inverse(X1))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f21,f150])).
% 0.14/0.59 fof(f176,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f21,f161])).
% 0.14/0.59 fof(f188,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(X1),inverse(inverse(X2)))),X1))=X2)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f176,f28])).
% 0.14/0.59 fof(f211,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(double_divide(inverse(X0),X0),inverse(X1))=inverse(X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f174,f24])).
% 0.14/0.59 fof(f212,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X1),X1))=X0)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f174,f21])).
% 0.14/0.59 fof(f239,plain,(
% 0.14/0.59 ![X0,X1,X2]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X0)),inverse(X2))=inverse(X2))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f5,f211])).
% 0.14/0.59 fof(f278,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X0)),multiply(X2,X3))=inverse(double_divide(X3,X2)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f5,f239])).
% 0.14/0.59 fof(f302,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(double_divide(multiply(X0,X1),double_divide(X1,X0)),multiply(X2,X3))=multiply(X2,X3))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f5,f278])).
% 0.14/0.59 fof(f347,plain,(
% 0.14/0.59 ![X0,X1,X2]: (inverse(X0)=multiply(inverse(X0),inverse(double_divide(multiply(X1,X2),double_divide(X2,X1)))))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f174,f302])).
% 0.14/0.59 fof(f397,plain,(
% 0.14/0.59 ![X0,X1,X2]: (inverse(X0)=multiply(inverse(X0),multiply(double_divide(X1,X2),multiply(X2,X1))))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f5,f347])).
% 0.14/0.59 fof(f440,plain,(
% 0.14/0.59 ![X0,X1,X2]: (inverse(X0)=multiply(inverse(X0),multiply(X1,multiply(double_divide(inverse(X2),X2),inverse(X1)))))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f212,f397])).
% 0.14/0.59 fof(f463,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(double_divide(X1,X2),multiply(X2,X1)),inverse(X3))))=X3)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f397,f28])).
% 0.14/0.59 fof(f469,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))))=double_divide(multiply(double_divide(X3,X4),multiply(X4,X3)),inverse(X2)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f397,f30])).
% 0.14/0.59 fof(f479,plain,(
% 0.14/0.59 ![X0,X1]: (inverse(X0)=multiply(inverse(X0),multiply(X1,inverse(X1))))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f211,f440])).
% 0.14/0.59 fof(f498,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X0),X1))=X1)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f501,f463])).
% 0.14/0.59 fof(f501,plain,(
% 0.14/0.59 ![X0,X1,X2]: (X0=double_divide(multiply(double_divide(X1,X2),multiply(X2,X1)),inverse(X0)))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f28,f469])).
% 0.14/0.59 fof(f512,plain,(
% 0.14/0.59 ![X0,X1,X2]: (inverse(double_divide(X0,X1))=multiply(multiply(X1,X0),multiply(X2,inverse(X2))))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f5,f479])).
% 0.14/0.59 fof(f519,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2))))=X2)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f479,f28])).
% 0.14/0.59 fof(f542,plain,(
% 0.14/0.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X0,X1),multiply(X2,inverse(X2))))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f5,f512])).
% 0.14/0.59 fof(f548,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(multiply(X0,inverse(X0)),inverse(X1))=X1)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f498,f519])).
% 0.14/0.59 fof(f567,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),double_divide(multiply(multiply(X0,X1),multiply(X2,inverse(X2))),X3))=X3)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f548,f59])).
% 0.14/0.59 fof(f582,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),X2))=X2)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f542,f567])).
% 0.14/0.59 fof(f607,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(multiply(X0,inverse(X0)),X1)=inverse(X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f548,f582])).
% 0.14/0.59 fof(f609,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),X1)=double_divide(X2,X0))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f21,f582])).
% 0.14/0.59 fof(f644,plain,(
% 0.14/0.59 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f607,f548])).
% 0.14/0.59 fof(f653,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(inverse(X1)),inverse(X0)))=X1)),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f609,f188])).
% 0.14/0.59 fof(f715,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(inverse(X0),double_divide(X1,inverse(X0)))=X1)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f644,f653])).
% 0.14/0.59 fof(f832,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(inverse(X0),double_divide(X1,inverse(X1)))=X0)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f644,f212])).
% 0.14/0.59 fof(f836,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f644,f176])).
% 0.14/0.59 fof(f910,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(X0,double_divide(X1,inverse(inverse(X0))))=X1)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f644,f715])).
% 0.14/0.59 fof(f922,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f644,f910])).
% 0.14/0.59 fof(f932,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f922,f922])).
% 0.14/0.59 fof(f938,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f922,f5])).
% 0.14/0.59 fof(f989,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f932,f5])).
% 0.14/0.59 fof(f1033,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=inverse(inverse(X0)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f832,f938])).
% 0.14/0.59 fof(f1034,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(X0,inverse(X0))=double_divide(X1,inverse(X1)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f832,f932])).
% 0.14/0.59 fof(f1042,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=X0)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f644,f1033])).
% 0.14/0.59 fof(f1052,plain,(
% 0.14/0.59 ![X0,X1,X2]: (double_divide(multiply(X0,double_divide(X1,inverse(X1))),double_divide(X0,X2))=X2)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1042,f582])).
% 0.14/0.59 fof(f1063,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(X0,double_divide(X0,X1))=X1)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1042,f1052])).
% 0.14/0.59 fof(f1116,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f932,f1063])).
% 0.14/0.59 fof(f1120,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1063,f989])).
% 0.14/0.59 fof(f1121,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1063,f938])).
% 0.14/0.59 fof(f1167,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f5,f1120])).
% 0.14/0.59 fof(f1176,plain,(
% 0.14/0.59 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X0,X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1120,f644])).
% 0.14/0.59 fof(f1177,plain,(
% 0.14/0.59 $false|sQ3_spl),
% 0.14/0.59 inference(backward_subsumption_resolution,[status(thm)],[f18,f1167])).
% 0.14/0.59 fof(f1178,plain,(
% 0.14/0.59 sQ3_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f1177])).
% 0.14/0.59 fof(f1278,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f836,f1121])).
% 0.14/0.59 fof(f1282,plain,(
% 0.14/0.59 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(inverse(X0),X1))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f836,f1116])).
% 0.14/0.59 fof(f1347,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,double_divide(inverse(multiply(double_divide(X2,X3),multiply(inverse(X0),multiply(X3,multiply(inverse(X1),X2))))),X4)))=inverse(X4))),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f1411,f46])).
% 0.14/0.59 fof(f1411,plain,(
% 0.14/0.59 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),X0))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1176,f1278])).
% 0.14/0.59 fof(f1529,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,double_divide(double_divide(double_divide(X2,X3),multiply(inverse(X0),multiply(X3,multiply(inverse(X1),X2)))),X4)))=inverse(X4))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1176,f1347])).
% 0.14/0.59 fof(f1530,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,inverse(multiply(X3,multiply(inverse(X1),X2))))),X4)))=inverse(X4))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1282,f1529])).
% 0.14/0.59 fof(f1531,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X3,multiply(inverse(X1),X2)))),X4)))=inverse(X4))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1176,f1530])).
% 0.14/0.59 fof(f1532,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,double_divide(double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X3,double_divide(X1,inverse(X2))))),X4)))=inverse(X4))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1282,f1531])).
% 0.14/0.59 fof(f2131,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(X0,X1)=inverse(inverse(double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X3,double_divide(X1,inverse(X2))))))))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1042,f1532])).
% 0.14/0.59 fof(f2138,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(double_divide(double_divide(X3,X4),double_divide(X0,double_divide(X4,double_divide(X1,inverse(X3))))),X2)))),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f1063,f1532])).
% 0.14/0.59 fof(f2198,plain,(
% 0.14/0.59 ![X0,X1,X2,X3]: (multiply(X0,X1)=double_divide(double_divide(X2,X3),double_divide(X0,double_divide(X3,double_divide(X1,inverse(X2))))))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f644,f2131])).
% 0.14/0.59 fof(f2213,plain,(
% 0.14/0.59 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,X2))=multiply(double_divide(double_divide(X3,X4),double_divide(X0,double_divide(X4,double_divide(X1,inverse(X3))))),X2))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1120,f2138])).
% 0.14/0.59 fof(f2214,plain,(
% 0.14/0.59 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f2256,f15])).
% 0.14/0.59 fof(f2256,plain,(
% 0.14/0.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f2198,f2213])).
% 0.14/0.59 fof(f2315,plain,(
% 0.14/0.59 $false|sQ2_spl),
% 0.14/0.59 inference(trivial_equality_resolution,[status(thm)],[f2214])).
% 0.14/0.59 fof(f2316,plain,(
% 0.14/0.59 sQ2_spl),
% 0.14/0.59 inference(contradiction_clause,[status(thm)],[f2315])).
% 0.14/0.59 fof(f2330,plain,(
% 0.14/0.59 ~double_divide(a1,inverse(a1))=multiply(inverse(b1),b1)|sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1282,f9])).
% 0.14/0.59 fof(f2331,plain,(
% 0.14/0.59 ~double_divide(a1,inverse(a1))=double_divide(b1,inverse(b1))|sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f1282,f2330])).
% 0.14/0.59 fof(f2332,plain,(
% 0.14/0.59 $false|sQ0_spl),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2331,f1034])).
% 0.65/0.63 fof(f2333,plain,(
% 0.65/0.63 sQ0_spl),
% 0.65/0.63 inference(contradiction_clause,[status(thm)],[f2332])).
% 0.65/0.63 fof(f2334,plain,(
% 0.65/0.63 ~multiply(inverse(b2),multiply(b2,a2))=a2|sQ1_spl),
% 0.65/0.63 inference(forward_demodulation,[status(thm)],[f2256,f12])).
% 0.65/0.63 fof(f2335,plain,(
% 0.65/0.63 ~double_divide(b2,inverse(multiply(b2,a2)))=a2|sQ1_spl),
% 0.65/0.63 inference(forward_demodulation,[status(thm)],[f1282,f2334])).
% 0.65/0.63 fof(f2336,plain,(
% 0.65/0.63 ~double_divide(b2,double_divide(b2,a2))=a2|sQ1_spl),
% 0.65/0.63 inference(forward_demodulation,[status(thm)],[f1176,f2335])).
% 0.65/0.63 fof(f2337,plain,(
% 0.65/0.63 ~a2=a2|sQ1_spl),
% 0.65/0.63 inference(forward_demodulation,[status(thm)],[f1063,f2336])).
% 0.65/0.63 fof(f2338,plain,(
% 0.65/0.63 $false|sQ1_spl),
% 0.65/0.63 inference(trivial_equality_resolution,[status(thm)],[f2337])).
% 0.65/0.63 fof(f2339,plain,(
% 0.65/0.63 sQ1_spl),
% 0.65/0.63 inference(contradiction_clause,[status(thm)],[f2338])).
% 0.65/0.63 fof(f2340,plain,(
% 0.65/0.63 $false),
% 0.65/0.63 inference(sat_refutation,[status(thm)],[f19,f1178,f2316,f2333,f2339])).
% 0.65/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.65/0.63 % Elapsed time: 0.253016 seconds
% 0.65/0.63 % CPU time: 1.729594 seconds
% 0.65/0.63 % Total memory used: 93.493 MB
% 0.65/0.63 % Net memory used: 92.367 MB
%------------------------------------------------------------------------------