%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP109-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 4.75s 1.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP109-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:58:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 4.75/1.09 % Refutation found
% 4.75/1.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.75/1.09 % SZS output start CNFRefutation for theBenchmark
% 4.75/1.09 fof(f1,axiom,(
% 4.75/1.09 (![X,Y,Z]: (double_divide(inverse(double_divide(X,inverse(double_divide(inverse(Y),double_divide(X,Z))))),Z) = Y ))),
% 4.75/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.75/1.09 fof(f2,axiom,(
% 4.75/1.09 (![X,Y]: (multiply(X,Y) = inverse(double_divide(Y,X)) ))),
% 4.75/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.75/1.09 fof(f3,negated_conjecture,(
% 4.75/1.09 ( 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) ) ),
% 4.75/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.75/1.09 fof(f4,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2)=X1)),
% 4.75/1.09 inference(cnf_transformation,[status(thm)],[f1])).
% 4.75/1.09 fof(f5,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 4.75/1.09 inference(cnf_transformation,[status(thm)],[f2])).
% 4.75/1.09 fof(f6,plain,(
% 4.75/1.09 ~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)),
% 4.75/1.09 inference(cnf_transformation,[status(thm)],[f3])).
% 4.75/1.09 fof(f7,definition,(
% 4.75/1.09 sQ0_spl <=> (multiply(inverse(a1),a1)=multiply(inverse(b1),b1))),
% 4.75/1.09 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 4.75/1.09 fof(f9,plain,(
% 4.75/1.09 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|sQ0_spl),
% 4.75/1.09 inference(component_clause,[status(thm)],[f7])).
% 4.75/1.09 fof(f10,definition,(
% 4.75/1.09 sQ1_spl <=> (multiply(multiply(inverse(b2),b2),a2)=a2)),
% 4.75/1.09 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 4.75/1.09 fof(f12,plain,(
% 4.75/1.09 ~multiply(multiply(inverse(b2),b2),a2)=a2|sQ1_spl),
% 4.75/1.09 inference(component_clause,[status(thm)],[f10])).
% 4.75/1.09 fof(f13,definition,(
% 4.75/1.09 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 4.75/1.09 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 4.75/1.09 fof(f15,plain,(
% 4.75/1.09 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 4.75/1.09 inference(component_clause,[status(thm)],[f13])).
% 4.75/1.09 fof(f16,definition,(
% 4.75/1.09 sQ3_spl <=> (multiply(a4,b4)=multiply(b4,a4))),
% 4.75/1.09 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 4.75/1.09 fof(f18,plain,(
% 4.75/1.09 ~multiply(a4,b4)=multiply(b4,a4)|sQ3_spl),
% 4.75/1.09 inference(component_clause,[status(thm)],[f16])).
% 4.75/1.09 fof(f19,plain,(
% 4.75/1.09 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 4.75/1.09 inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16])).
% 4.75/1.09 fof(f20,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1)=X2)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 4.75/1.09 fof(f21,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1)=X2)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f20])).
% 4.75/1.09 fof(f22,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3)=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f21,f21])).
% 4.75/1.09 fof(f23,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1)=double_divide(X3,X2))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f21])).
% 4.75/1.09 fof(f24,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1))=inverse(X2))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f21,f5])).
% 4.75/1.09 fof(f25,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(double_divide(X3,X4),inverse(X0)),X3)),X4)=double_divide(X2,X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f22])).
% 4.75/1.09 fof(f27,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4,X5]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(X2,inverse(X0)),multiply(multiply(X3,inverse(X2)),multiply(multiply(double_divide(X4,X5),inverse(X3)),X4)))),X5)=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f22,f22])).
% 4.75/1.09 fof(f30,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,inverse(X2)),multiply(multiply(double_divide(X3,X0),inverse(X1)),X3)))=inverse(X2))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f22,f5])).
% 4.75/1.09 fof(f32,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(multiply(X1,inverse(X2)),multiply(multiply(X3,inverse(X1)),multiply(multiply(double_divide(X4,X0),inverse(X3)),X4))))=inverse(X2))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f22,f24])).
% 4.75/1.09 fof(f33,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(double_divide(X1,X0),multiply(X2,X3)),X1))=inverse(double_divide(X3,X2)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f24])).
% 4.75/1.09 fof(f34,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(X0),multiply(X0,inverse(X1)))=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f24,f22])).
% 4.75/1.09 fof(f35,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(double_divide(X1,X0),multiply(X2,X3)),X1))=multiply(X2,X3))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f33])).
% 4.75/1.09 fof(f36,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(inverse(X0),X1),X2)=double_divide(X3,multiply(double_divide(X3,double_divide(X1,X2)),inverse(X0))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f24,f23])).
% 4.75/1.09 fof(f41,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(multiply(double_divide(X1,X2),inverse(X3)),multiply(multiply(double_divide(X4,X0),multiply(X2,X1)),X4)))=inverse(X3))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f23,f24])).
% 4.75/1.09 fof(f42,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4,X5]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),multiply(multiply(double_divide(X4,X5),multiply(X3,X2)),X4))),X5)=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f23,f22])).
% 4.75/1.09 fof(f47,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),inverse(X2)))=X2)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f34])).
% 4.75/1.09 fof(f48,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(X0,multiply(X1,X2)))=double_divide(X2,X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f34])).
% 4.75/1.09 fof(f52,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,inverse(X1)),inverse(X2)),multiply(X2,inverse(X0)))=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f34,f21])).
% 4.75/1.09 fof(f53,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f34,f5])).
% 4.75/1.09 fof(f55,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(inverse(X0),multiply(multiply(double_divide(X1,X2),inverse(X3)),X1)),X2)=double_divide(X4,multiply(double_divide(X4,X3),inverse(X0))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f24,f25])).
% 4.75/1.09 fof(f71,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X0))=inverse(double_divide(X2,X1)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f53])).
% 4.75/1.09 fof(f73,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1))=X0)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f53,f34])).
% 4.75/1.09 fof(f77,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X0))=multiply(X1,X2))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f71])).
% 4.75/1.09 fof(f110,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4,X5]: (double_divide(multiply(inverse(X0),multiply(multiply(X1,inverse(multiply(X2,inverse(X0)))),multiply(multiply(X3,inverse(X1)),multiply(multiply(double_divide(X4,X5),inverse(X3)),X4)))),X5)=X2)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f53,f27])).
% 4.75/1.09 fof(f212,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(X1))=double_divide(X2,multiply(double_divide(X2,X0),inverse(X1))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f24,f48])).
% 4.75/1.09 fof(f226,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),X1),X2)=double_divide(inverse(double_divide(X1,X2)),inverse(X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f212,f36])).
% 4.75/1.09 fof(f227,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(inverse(X0),multiply(multiply(double_divide(X1,X2),inverse(X3)),X1)),X2)=double_divide(inverse(X3),inverse(X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f212,f55])).
% 4.75/1.09 fof(f233,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),X1),X2)=double_divide(multiply(X2,X1),inverse(X0)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f226])).
% 4.75/1.09 fof(f239,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(X3,inverse(X4)),multiply(multiply(double_divide(X2,X1),inverse(X3)),inverse(X0))))=inverse(X4))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f48,f30])).
% 4.75/1.09 fof(f323,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(inverse(X0),inverse(X1))=double_divide(multiply(multiply(X2,inverse(X3)),multiply(multiply(double_divide(X4,X0),inverse(X2)),X4)),multiply(X3,inverse(X1))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f32,f48])).
% 4.75/1.09 fof(f340,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(inverse(X0),inverse(X1))=multiply(multiply(double_divide(X2,X1),inverse(X0)),X2))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f24,f77])).
% 4.75/1.09 fof(f341,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(inverse(X0),inverse(X1))=multiply(multiply(X2,inverse(X0)),multiply(multiply(double_divide(X3,X1),inverse(X2)),X3)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f30,f77])).
% 4.75/1.09 fof(f357,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),inverse(X2))=multiply(X2,multiply(X0,X1)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f77,f73])).
% 4.75/1.09 fof(f370,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(X2,inverse(X0)),multiply(multiply(X3,inverse(X2)),multiply(inverse(X3),inverse(X4))))),X4)=X1)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f340,f27])).
% 4.75/1.09 fof(f384,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(inverse(X0),inverse(X1))=double_divide(multiply(multiply(X2,inverse(X3)),multiply(inverse(X2),inverse(X0))),multiply(X3,inverse(X1))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f340,f323])).
% 4.75/1.09 fof(f396,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(inverse(X1),inverse(X2))),X2)=double_divide(inverse(X1),inverse(X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f340,f227])).
% 4.75/1.09 fof(f407,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(inverse(X0),multiply(multiply(X1,inverse(multiply(X2,inverse(X0)))),multiply(multiply(X3,inverse(X1)),multiply(inverse(X3),inverse(X4))))),X4)=X2)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f340,f110])).
% 4.75/1.09 fof(f422,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(inverse(X0),inverse(X1))=multiply(multiply(X2,inverse(X0)),multiply(inverse(X2),inverse(X1))))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f340,f341])).
% 4.75/1.09 fof(f461,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(X2,inverse(X0)),multiply(inverse(X2),inverse(X3)))),X3)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f422,f370])).
% 4.75/1.09 fof(f462,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(inverse(X0),inverse(X2))),X2)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f422,f461])).
% 4.75/1.09 fof(f463,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f422,f462])).
% 4.75/1.09 fof(f467,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(X1))=double_divide(multiply(inverse(X2),inverse(X0)),multiply(X2,inverse(X1))))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f422,f384])).
% 4.75/1.09 fof(f515,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(inverse(X0),multiply(multiply(X1,inverse(multiply(X2,inverse(X0)))),multiply(inverse(X1),inverse(X3)))),X3)=X2)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f422,f407])).
% 4.75/1.09 fof(f516,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X0))),inverse(X2))),X2)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f422,f515])).
% 4.75/1.09 fof(f517,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1))=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f396,f516])).
% 4.75/1.09 fof(f519,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f357,f517])).
% 4.75/1.09 fof(f541,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(multiply(X1,X2),X3))=multiply(multiply(double_divide(X4,double_divide(X3,X0)),multiply(X1,X2)),X4))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f35,f35])).
% 4.75/1.09 fof(f542,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(double_divide(X2,X1),multiply(X3,X4)),inverse(X0)))=multiply(X3,X4))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f48,f35])).
% 4.75/1.09 fof(f553,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(X2))=multiply(multiply(double_divide(X3,X2),multiply(X0,X1)),X3))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f35,f77])).
% 4.75/1.09 fof(f568,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,X2),X3))=multiply(multiply(X1,X2),inverse(double_divide(X3,X0))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f553,f541])).
% 4.75/1.09 fof(f581,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),multiply(multiply(X3,X2),inverse(X4)))),X4)=X1)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f553,f42])).
% 4.75/1.09 fof(f582,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(double_divide(X1,X2),inverse(X3)),multiply(multiply(X2,X1),inverse(X0))))=inverse(X3))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f553,f41])).
% 4.75/1.09 fof(f601,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(inverse(X0),inverse(X1))=multiply(inverse(X2),multiply(multiply(X2,inverse(X0)),inverse(X1))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f614,f422])).
% 4.75/1.09 fof(f614,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,X2),X3))=multiply(multiply(X1,X2),multiply(X0,X3)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f568])).
% 4.75/1.09 fof(f627,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(X2,X3),multiply(multiply(double_divide(X3,X2),inverse(X0)),inverse(X4)))),X4)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f614,f581])).
% 4.75/1.09 fof(f628,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,X2),multiply(multiply(double_divide(X2,X1),inverse(X3)),inverse(X0))))=inverse(X3))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f614,f582])).
% 4.75/1.09 fof(f641,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(X0))=multiply(X2,multiply(X1,inverse(X2))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f519,f77])).
% 4.75/1.09 fof(f646,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f519,f641])).
% 4.75/1.09 fof(f649,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(X0,X1)=double_divide(multiply(X1,multiply(X0,inverse(inverse(X2)))),inverse(X2)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f519,f233])).
% 4.75/1.09 fof(f653,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(X1,inverse(X2))),X2)=double_divide(X1,inverse(X0)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f519,f233])).
% 4.75/1.09 fof(f665,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f646,f646])).
% 4.75/1.09 fof(f669,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(multiply(X0,X1)),X1)=X0)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f646,f34])).
% 4.75/1.09 fof(f676,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(multiply(X0,inverse(X0)),inverse(X1))=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f233,f463])).
% 4.75/1.09 fof(f685,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(X0),inverse(X1))=multiply(X1,X0))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f646,f669])).
% 4.75/1.09 fof(f691,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(multiply(inverse(X2),inverse(X1)),multiply(X2,inverse(X0))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f685,f467])).
% 4.75/1.09 fof(f739,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f646,f665])).
% 4.75/1.09 fof(f746,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(X2))=multiply(X2,double_divide(X1,X0)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f665,f47])).
% 4.75/1.09 fof(f750,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(inverse(X2),multiply(multiply(double_divide(inverse(multiply(X2,X3)),X3),inverse(X0)),inverse(X4)))),X4)=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f665,f627])).
% 4.75/1.09 fof(f769,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f739,f691])).
% 4.75/1.09 fof(f771,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(inverse(X2),multiply(multiply(X2,inverse(X0)),inverse(X1))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f739,f601])).
% 4.75/1.09 fof(f772,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(multiply(double_divide(X2,X1),inverse(X0)),X2))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f739,f340])).
% 4.75/1.09 fof(f778,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),X1),X2)=multiply(X0,double_divide(X1,X2)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f746,f233])).
% 4.75/1.09 fof(f784,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(X2,double_divide(multiply(X0,inverse(inverse(X2))),X1)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f746,f649])).
% 4.75/1.09 fof(f788,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,double_divide(inverse(X1),X1))=X0)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f746,f676])).
% 4.75/1.09 fof(f791,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(inverse(X2),multiply(multiply(X2,inverse(X0)),inverse(X3)))),X3)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f669,f750])).
% 4.75/1.09 fof(f792,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(inverse(X0),inverse(X2))),X2)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f601,f791])).
% 4.75/1.09 fof(f793,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(multiply(X0,inverse(X1)),inverse(X2))),X2)=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f614,f792])).
% 4.75/1.09 fof(f794,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(multiply(X0,inverse(X1)),inverse(X0))=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f653,f793])).
% 4.75/1.09 fof(f795,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,double_divide(inverse(X1),X0))=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f746,f794])).
% 4.75/1.09 fof(f808,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,double_divide(multiply(X1,inverse(X2)),X2))=double_divide(X1,inverse(X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f778,f653])).
% 4.75/1.09 fof(f820,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(multiply(double_divide(multiply(X1,inverse(X2)),X2),inverse(X3)),inverse(X0))))=inverse(X3))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f519,f628])).
% 4.75/1.09 fof(f893,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f669,f795])).
% 4.75/1.09 fof(f897,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),inverse(X0))=inverse(X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f795,f665])).
% 4.75/1.09 fof(f899,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(inverse(X0),X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f795,f646])).
% 4.75/1.09 fof(f903,plain,(
% 4.75/1.09 ~multiply(a4,b4)=multiply(a4,b4)|sQ3_spl),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f893,f18])).
% 4.75/1.09 fof(f905,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(X2,multiply(double_divide(X2,X1),inverse(X0))))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f893,f772])).
% 4.75/1.09 fof(f910,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(inverse(X0),double_divide(inverse(X0),X1))=inverse(X1))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f897])).
% 4.75/1.09 fof(f912,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(X0),multiply(X1,X0))=inverse(X1))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f665])).
% 4.75/1.09 fof(f915,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(inverse(X0)),X1)=inverse(multiply(X0,X1)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f739])).
% 4.75/1.09 fof(f919,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(double_divide(inverse(double_divide(multiply(X1,inverse(X2)),X2)),X3),inverse(X0))))=inverse(X3))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f820])).
% 4.75/1.09 fof(f945,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(X3,inverse(X4)),multiply(double_divide(inverse(double_divide(X2,X1)),X3),inverse(X0))))=inverse(X4))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f239])).
% 4.75/1.09 fof(f969,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(inverse(multiply(double_divide(X2,X1),multiply(X3,X4))),X0))=multiply(X3,X4))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f542])).
% 4.75/1.09 fof(f987,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(inverse(X2),double_divide(inverse(multiply(X2,inverse(X0))),X1)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f771])).
% 4.75/1.09 fof(f993,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(double_divide(inverse(multiply(X0,inverse(X1))),X2),multiply(X2,inverse(X0)))=X1)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f52])).
% 4.75/1.09 fof(f1011,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(X2,double_divide(double_divide(inverse(X0),inverse(X2)),X1)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f784])).
% 4.75/1.09 fof(f1012,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(inverse(X1),X2),X2))=double_divide(X1,inverse(X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f808])).
% 4.75/1.09 fof(f1015,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(inverse(multiply(X2,X1)),double_divide(inverse(X2),X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f899,f769])).
% 4.75/1.09 fof(f1022,plain,(
% 4.75/1.09 $false|sQ3_spl),
% 4.75/1.09 inference(trivial_equality_resolution,[status(thm)],[f903])).
% 4.75/1.09 fof(f1023,plain,(
% 4.75/1.09 sQ3_spl),
% 4.75/1.09 inference(contradiction_clause,[status(thm)],[f1022])).
% 4.75/1.09 fof(f1025,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(X2,double_divide(inverse(double_divide(X2,X1)),X0)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f905])).
% 4.75/1.09 fof(f1026,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(X2,double_divide(multiply(X1,X2),X0)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f1025])).
% 4.75/1.09 fof(f1037,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(inverse(double_divide(inverse(double_divide(multiply(X1,inverse(X2)),X2)),X3)),X0)))=inverse(X3))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f919])).
% 4.75/1.09 fof(f1038,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(multiply(X2,inverse(double_divide(multiply(X1,inverse(X3)),X3))),X0)))=inverse(X2))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f1037])).
% 4.75/1.09 fof(f1039,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(double_divide(inverse(X2),double_divide(multiply(X1,inverse(X3)),X3)),X0)))=inverse(X2))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f1038])).
% 4.75/1.09 fof(f1040,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(double_divide(inverse(X2),double_divide(double_divide(inverse(X1),X3),X3)),X0)))=inverse(X2))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f1039])).
% 4.75/1.09 fof(f1112,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(double_divide(inverse(X3),X4),multiply(double_divide(inverse(double_divide(X2,X1)),X3),inverse(X0))))=inverse(X4))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f945])).
% 4.75/1.09 fof(f1113,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(double_divide(inverse(X3),X4),double_divide(inverse(double_divide(inverse(double_divide(X2,X1)),X3)),X0)))=inverse(X4))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f1112])).
% 4.75/1.09 fof(f1114,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(double_divide(inverse(X3),X4),double_divide(multiply(X3,inverse(double_divide(X2,X1))),X0)))=inverse(X4))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f1113])).
% 4.75/1.09 fof(f1115,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),multiply(double_divide(inverse(X3),X4),double_divide(double_divide(inverse(X3),double_divide(X2,X1)),X0)))=inverse(X4))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f1114])).
% 4.75/1.09 fof(f1252,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(inverse(X2),double_divide(inverse(double_divide(inverse(X2),X0)),X1)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f987])).
% 4.75/1.09 fof(f1253,plain,(
% 4.75/1.09 ![X0,X1,X2]: (inverse(multiply(X0,X1))=multiply(inverse(X2),double_divide(multiply(X0,inverse(X2)),X1)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f1252])).
% 4.75/1.09 fof(f1254,plain,(
% 4.75/1.09 ![X0,X1]: (inverse(multiply(X0,X1))=inverse(multiply(X1,X0)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1026,f1253])).
% 4.75/1.09 fof(f1283,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(double_divide(inverse(double_divide(inverse(X0),X1)),X2),multiply(X2,inverse(X0)))=X1)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f993])).
% 4.75/1.09 fof(f1284,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(double_divide(multiply(X0,inverse(X1)),X2),multiply(X2,inverse(X1)))=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f5,f1283])).
% 4.75/1.09 fof(f1285,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),X1),X2),multiply(X2,inverse(X1)))=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f1284])).
% 4.75/1.09 fof(f1286,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),X1),X2),double_divide(inverse(X2),X1))=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f899,f1285])).
% 4.75/1.09 fof(f1307,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(X2,double_divide(multiply(X2,X0),X1)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f685,f1011])).
% 4.75/1.09 fof(f1310,plain,(
% 4.75/1.09 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f15])).
% 4.75/1.09 fof(f1316,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(multiply(X1,X2),X0))=double_divide(X2,X1))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f893,f48])).
% 4.75/1.09 fof(f1317,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(multiply(X0,X1)),X0)=X1)),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f893,f669])).
% 4.75/1.09 fof(f1324,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(multiply(X3,X4),double_divide(X2,X1)),X0))=multiply(X3,X4))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1365,f969])).
% 4.75/1.09 fof(f1349,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(X1,X2),double_divide(inverse(X2),X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1365,f1015])).
% 4.75/1.09 fof(f1354,plain,(
% 4.75/1.09 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X0,X1))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1365,f1254])).
% 4.75/1.09 fof(f1361,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(inverse(inverse(X0)),X1)=double_divide(X1,X0))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1365,f915])).
% 4.75/1.09 fof(f1365,plain,(
% 4.75/1.09 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f912,f1316])).
% 4.75/1.09 fof(f1366,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(X1,inverse(X0)))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1370,f1012])).
% 4.75/1.09 fof(f1368,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(double_divide(inverse(X2),inverse(X1)),X0)))=inverse(X2))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1370,f1040])).
% 4.75/1.09 fof(f1370,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1365,f1317])).
% 4.75/1.09 fof(f1375,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,double_divide(inverse(X1),X0))=X1)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1349,f1286])).
% 4.75/1.09 fof(f1383,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(multiply(X1,X2),X0)))=inverse(X2))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f685,f1368])).
% 4.75/1.09 fof(f1386,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1307,f1383])).
% 4.75/1.09 fof(f1393,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1396,f1361])).
% 4.75/1.09 fof(f1396,plain,(
% 4.75/1.09 ![X0]: (inverse(inverse(X0))=X0)),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1386,f1375])).
% 4.75/1.09 fof(f1415,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,double_divide(X1,inverse(X1)))=X0)),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1393,f788])).
% 4.75/1.09 fof(f1459,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(X1)),X2)=multiply(X1,double_divide(X0,X2)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f893,f778])).
% 4.75/1.09 fof(f1461,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,X1),X2),X3)=multiply(double_divide(X1,X0),double_divide(X2,X3)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f5,f778])).
% 4.75/1.09 fof(f1462,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X2))=inverse(multiply(X1,double_divide(X2,X0))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f778,f5])).
% 4.75/1.09 fof(f1463,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(double_divide(X0,inverse(X1)),X2)=multiply(X0,double_divide(X1,X2)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f1459])).
% 4.75/1.09 fof(f1472,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(multiply(multiply(X3,inverse(X4)),double_divide(inverse(X4),double_divide(X2,X1))),X0))=inverse(X3))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1461,f1115])).
% 4.75/1.09 fof(f1516,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X1),X2))=double_divide(X1,double_divide(X2,X0)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1354,f1462])).
% 4.75/1.09 fof(f1551,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(multiply(double_divide(X3,inverse(X4)),double_divide(inverse(X3),double_divide(X2,X1))),X0))=inverse(X4))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f1472])).
% 4.75/1.09 fof(f1552,plain,(
% 4.75/1.09 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(multiply(multiply(inverse(X3),X4),inverse(X4)),double_divide(X2,X1)),X0))=inverse(X3))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1461,f1551])).
% 4.75/1.09 fof(f1553,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(multiply(inverse(X0),X1),inverse(X1))=inverse(X0))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1324,f1552])).
% 4.75/1.09 fof(f1554,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f1553])).
% 4.75/1.09 fof(f1555,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(X0,double_divide(X1,inverse(X1)))=inverse(X0))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1516,f1554])).
% 4.75/1.09 fof(f1753,plain,(
% 4.75/1.09 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=multiply(inverse(X0),double_divide(X1,X2)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f1396,f778])).
% 4.75/1.09 fof(f1754,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(multiply(X0,inverse(X0)),X1)=inverse(X1))),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f1753,f910])).
% 4.75/1.09 fof(f1755,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(double_divide(X0,inverse(X0)),X1)=inverse(X1))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f1754])).
% 4.75/1.09 fof(f1757,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1463,f1755])).
% 4.75/1.09 fof(f1827,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,X2),X3))=multiply(multiply(X0,X3),multiply(X1,X2)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f893,f614])).
% 4.75/1.09 fof(f1905,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f1393,f5])).
% 4.75/1.09 fof(f2328,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,X2),multiply(X0,double_divide(X3,inverse(X3)))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f1415,f614])).
% 4.75/1.09 fof(f2346,plain,(
% 4.75/1.09 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(multiply(X0,double_divide(X3,inverse(X3))),X2)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1827,f2328])).
% 4.75/1.09 fof(f2347,plain,(
% 4.75/1.09 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 4.75/1.09 inference(backward_demodulation,[status(thm)],[f2351,f1310])).
% 4.75/1.09 fof(f2351,plain,(
% 4.75/1.09 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1415,f2346])).
% 4.75/1.09 fof(f2359,plain,(
% 4.75/1.09 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f2347])).
% 4.75/1.09 fof(f2360,plain,(
% 4.75/1.09 $false|sQ2_spl),
% 4.75/1.09 inference(trivial_equality_resolution,[status(thm)],[f2359])).
% 4.75/1.09 fof(f2361,plain,(
% 4.75/1.09 sQ2_spl),
% 4.75/1.09 inference(contradiction_clause,[status(thm)],[f2360])).
% 4.75/1.09 fof(f2365,plain,(
% 4.75/1.09 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)|sQ0_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f9])).
% 4.75/1.09 fof(f2366,plain,(
% 4.75/1.09 ~double_divide(a1,inverse(a1))=multiply(inverse(b1),b1)|sQ0_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f2365])).
% 4.75/1.09 fof(f2367,plain,(
% 4.75/1.09 ~double_divide(a1,inverse(a1))=multiply(b1,inverse(b1))|sQ0_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f2366])).
% 4.75/1.09 fof(f2368,plain,(
% 4.75/1.09 ~double_divide(a1,inverse(a1))=double_divide(b1,inverse(b1))|sQ0_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f2367])).
% 4.75/1.09 fof(f3429,plain,(
% 4.75/1.09 ![X0,X1]: (multiply(X0,inverse(X0))=inverse(double_divide(X1,inverse(X1))))),
% 4.75/1.09 inference(paramodulation,[status(thm)],[f1555,f1757])).
% 4.75/1.09 fof(f3485,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(X0,inverse(X0))=inverse(double_divide(X1,inverse(X1))))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f3429])).
% 4.75/1.09 fof(f3486,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1905,f3485])).
% 4.75/1.09 fof(f3487,plain,(
% 4.75/1.09 $false|sQ0_spl),
% 4.75/1.09 inference(backward_subsumption_resolution,[status(thm)],[f2368,f3488])).
% 4.75/1.09 fof(f3488,plain,(
% 4.75/1.09 ![X0,X1]: (double_divide(X0,inverse(X0))=double_divide(X1,inverse(X1)))),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f3486])).
% 4.75/1.09 fof(f3494,plain,(
% 4.75/1.09 sQ0_spl),
% 4.75/1.09 inference(contradiction_clause,[status(thm)],[f3487])).
% 4.75/1.09 fof(f3495,plain,(
% 4.75/1.09 ~multiply(a2,multiply(inverse(b2),b2))=a2|sQ1_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f12])).
% 4.75/1.09 fof(f3496,plain,(
% 4.75/1.09 ~multiply(a2,multiply(b2,inverse(b2)))=a2|sQ1_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f893,f3495])).
% 4.75/1.09 fof(f3497,plain,(
% 4.75/1.09 ~multiply(b2,multiply(a2,inverse(b2)))=a2|sQ1_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f2351,f3496])).
% 4.75/1.09 fof(f3498,plain,(
% 4.75/1.09 ~multiply(b2,double_divide(b2,inverse(a2)))=a2|sQ1_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1366,f3497])).
% 4.75/1.09 fof(f3499,plain,(
% 4.75/1.09 ~inverse(inverse(a2))=a2|sQ1_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1757,f3498])).
% 4.75/1.09 fof(f3500,plain,(
% 4.75/1.09 ~a2=a2|sQ1_spl),
% 4.75/1.09 inference(forward_demodulation,[status(thm)],[f1396,f3499])).
% 4.75/1.09 fof(f3501,plain,(
% 4.75/1.09 $false|sQ1_spl),
% 4.75/1.09 inference(trivial_equality_resolution,[status(thm)],[f3500])).
% 4.75/1.09 fof(f3502,plain,(
% 4.75/1.09 sQ1_spl),
% 4.75/1.09 inference(contradiction_clause,[status(thm)],[f3501])).
% 4.75/1.09 fof(f3503,plain,(
% 4.75/1.09 $false),
% 4.75/1.09 inference(sat_refutation,[status(thm)],[f19,f1023,f2361,f3494,f3502])).
% 4.75/1.09 % SZS output end CNFRefutation for theBenchmark.p
% 0.81/1.11 % Elapsed time: 0.744028 seconds
% 0.81/1.11 % CPU time: 5.611125 seconds
% 0.81/1.11 % Total memory used: 141.832 MB
% 0.81/1.11 % Net memory used: 139.107 MB
%------------------------------------------------------------------------------