%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP076-1 : 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 : n018.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 0.82s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.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 19:58:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.82/0.55 % Refutation found
% 0.82/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.82/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.82/0.55 fof(f1,axiom,(
% 0.82/0.55 (![X,Y,Z]: (double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = Z ))),
% 0.82/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.55 fof(f2,axiom,(
% 0.82/0.55 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.82/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.55 fof(f3,axiom,(
% 0.82/0.55 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.82/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.55 fof(f4,axiom,(
% 0.82/0.55 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.82/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.55 fof(f5,negated_conjecture,(
% 0.82/0.55 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.82/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.55 fof(f6,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity))=X2)),
% 0.82/0.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.82/0.55 fof(f7,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.82/0.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.82/0.55 fof(f8,plain,(
% 0.82/0.55 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.82/0.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.82/0.55 fof(f9,plain,(
% 0.82/0.55 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.82/0.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.82/0.55 fof(f10,plain,(
% 0.82/0.55 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.82/0.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.82/0.55 fof(f11,definition,(
% 0.82/0.55 sQ0_spl <=> (multiply(inverse(a1),a1)=identity)),
% 0.82/0.55 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.82/0.55 fof(f13,plain,(
% 0.82/0.55 ~multiply(inverse(a1),a1)=identity|sQ0_spl),
% 0.82/0.55 inference(component_clause,[status(thm)],[f11])).
% 0.82/0.55 fof(f14,definition,(
% 0.82/0.55 sQ1_spl <=> (multiply(identity,a2)=a2)),
% 0.82/0.55 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.82/0.55 fof(f16,plain,(
% 0.82/0.55 ~multiply(identity,a2)=a2|sQ1_spl),
% 0.82/0.55 inference(component_clause,[status(thm)],[f14])).
% 0.82/0.55 fof(f17,definition,(
% 0.82/0.55 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 0.82/0.55 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.82/0.55 fof(f19,plain,(
% 0.82/0.55 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.82/0.55 inference(component_clause,[status(thm)],[f17])).
% 0.82/0.55 fof(f20,plain,(
% 0.82/0.55 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.82/0.55 inference(split_clause,[status(thm)],[f10,f11,f14,f17])).
% 0.82/0.55 fof(f21,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity))=X2)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.82/0.55 fof(f22,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.82/0.55 fof(f23,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity))=X2)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f21])).
% 0.82/0.55 fof(f24,plain,(
% 0.82/0.55 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f9,f22])).
% 0.82/0.55 fof(f25,plain,(
% 0.82/0.55 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f8,f22])).
% 0.82/0.55 fof(f26,plain,(
% 0.82/0.55 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f22,f9])).
% 0.82/0.55 fof(f27,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=inverse(identity))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f22,f24])).
% 0.82/0.55 fof(f28,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(double_divide(double_divide(X0,identity),X2),X1),inverse(X2)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f23,f23])).
% 0.82/0.55 fof(f29,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(X1,inverse(double_divide(double_divide(double_divide(X0,X2),X1),inverse(X2))))),inverse(identity))=inverse(identity))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f23,f23])).
% 0.82/0.55 fof(f30,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=inverse(double_divide(X0,X1)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f9,f23])).
% 0.82/0.55 fof(f31,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity))=identity)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f8,f23])).
% 0.82/0.55 fof(f32,plain,(
% 0.82/0.55 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(double_divide(X2,X3),inverse(inverse(identity)))),inverse(identity))=X3)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f23,f23])).
% 0.82/0.55 fof(f33,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f9,f23])).
% 0.82/0.55 fof(f34,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity))=X1)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f8,f23])).
% 0.82/0.55 fof(f37,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f28])).
% 0.82/0.55 fof(f38,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(X1,multiply(inverse(X2),double_divide(double_divide(X0,X2),X1)))),inverse(identity))=inverse(identity))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f29])).
% 0.82/0.55 fof(f39,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=multiply(X1,X0))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f30])).
% 0.82/0.55 fof(f40,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity))=identity)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f31])).
% 0.82/0.55 fof(f41,plain,(
% 0.82/0.55 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(double_divide(X2,X3),multiply(identity,identity))),inverse(identity))=X3)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f25,f32])).
% 0.82/0.55 fof(f42,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f25,f33])).
% 0.82/0.55 fof(f43,plain,(
% 0.82/0.55 ![X0]: (multiply(identity,inverse(X0))=inverse(multiply(identity,X0)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f25,f25])).
% 0.82/0.55 fof(f44,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(identity,double_divide(X0,X1))=inverse(multiply(X1,X0)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f22,f25])).
% 0.82/0.55 fof(f47,plain,(
% 0.82/0.55 ![X0]: (identity=double_divide(inverse(X0),multiply(identity,X0)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f25,f9])).
% 0.82/0.55 fof(f70,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,multiply(X1,inverse(X0))),inverse(identity))=double_divide(identity,inverse(X1)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f26,f37])).
% 0.82/0.55 fof(f72,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,identity),inverse(identity))=double_divide(inverse(double_divide(inverse(X0),X1)),inverse(X1)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f8,f37])).
% 0.82/0.55 fof(f73,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(identity,X1),inverse(multiply(identity,X0))))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f47,f37])).
% 0.82/0.55 fof(f78,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(double_divide(inverse(X0),inverse(X2)),X1),multiply(identity,X2)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f25,f37])).
% 0.82/0.55 fof(f90,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(inverse(X0),inverse(identity))=double_divide(inverse(double_divide(inverse(X0),X1)),inverse(X1)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f72])).
% 0.82/0.55 fof(f91,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(inverse(X0),inverse(identity))=double_divide(multiply(X1,inverse(X0)),inverse(X1)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f90])).
% 0.82/0.55 fof(f92,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(identity,X1),multiply(identity,inverse(X0))))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f43,f73])).
% 0.82/0.55 fof(f127,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,multiply(inverse(X1),inverse(double_divide(X0,X1))))),inverse(identity))=inverse(identity))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f8,f38])).
% 0.82/0.55 fof(f149,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,multiply(inverse(X1),multiply(X1,X0)))),inverse(identity))=inverse(identity))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f127])).
% 0.82/0.55 fof(f180,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=multiply(X1,double_divide(inverse(X0),identity)))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f37,f39])).
% 0.82/0.55 fof(f181,plain,(
% 0.82/0.55 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=multiply(identity,X0))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f9,f39])).
% 0.82/0.55 fof(f184,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(identity,multiply(X1,X2))),inverse(identity))=multiply(double_divide(X2,X1),X0))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f22,f39])).
% 0.82/0.55 fof(f195,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(X0,X1)=multiply(X0,double_divide(inverse(X1),identity)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f39,f180])).
% 0.82/0.55 fof(f196,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(X0,X1)=multiply(X0,inverse(inverse(X1))))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f195])).
% 0.82/0.55 fof(f199,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(X0,X1)=multiply(X0,multiply(identity,X1)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f25,f196])).
% 0.82/0.55 fof(f200,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(identity,X0)=double_divide(multiply(X1,inverse(X0)),inverse(X1)))),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f201,f91])).
% 0.82/0.55 fof(f201,plain,(
% 0.82/0.55 ![X0]: (double_divide(inverse(X0),inverse(identity))=multiply(identity,X0))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f181])).
% 0.82/0.55 fof(f204,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(double_divide(multiply(X0,X1),inverse(X0)),X1)=inverse(identity))),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f184,f149])).
% 0.82/0.55 fof(f293,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),double_divide(double_divide(X1,X2),multiply(identity,identity))),inverse(identity))=X2)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f37,f41])).
% 0.82/0.55 fof(f294,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)),X2),multiply(identity,identity))),inverse(identity))=X2)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f40,f41])).
% 0.82/0.55 fof(f320,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1))),identity),inverse(identity))=identity)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f26,f41])).
% 0.82/0.55 fof(f339,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)),X2),multiply(identity,identity))),inverse(identity))=X2)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f294])).
% 0.82/0.55 fof(f340,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(double_divide(multiply(X1,inverse(X0)),inverse(X1)),X2),multiply(identity,identity))),inverse(identity))=X2)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f339])).
% 0.82/0.55 fof(f341,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(multiply(identity,X0),X1),multiply(identity,identity))),inverse(identity))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f200,f340])).
% 0.82/0.55 fof(f364,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)))),inverse(identity))=identity)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f320])).
% 0.82/0.55 fof(f365,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(identity,double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1))))=identity)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f201,f364])).
% 0.82/0.55 fof(f366,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(multiply(double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)),X0))=identity)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f44,f365])).
% 0.82/0.55 fof(f367,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(multiply(double_divide(inverse(double_divide(X0,X1)),inverse(X1)),X0))=identity)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f366])).
% 0.82/0.55 fof(f368,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(multiply(double_divide(multiply(X0,X1),inverse(X0)),X1))=identity)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f367])).
% 0.82/0.55 fof(f369,plain,(
% 0.82/0.55 inverse(inverse(identity))=identity),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f204,f368])).
% 0.82/0.55 fof(f389,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(multiply(identity,X0),X1),identity)),inverse(identity))=X1)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f399,f341])).
% 0.82/0.55 fof(f390,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),double_divide(double_divide(X1,X2),identity)),inverse(identity))=X2)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f399,f293])).
% 0.82/0.55 fof(f399,plain,(
% 0.82/0.55 multiply(identity,identity)=identity),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f25,f369])).
% 0.82/0.55 fof(f524,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(inverse(X0),inverse(double_divide(multiply(identity,X0),X1))),inverse(identity))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f389])).
% 0.82/0.55 fof(f525,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(inverse(X0),multiply(X1,multiply(identity,X0))),inverse(identity))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f524])).
% 0.82/0.55 fof(f526,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(inverse(X0),multiply(X1,X0)),inverse(identity))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f199,f525])).
% 0.82/0.55 fof(f527,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),inverse(double_divide(X1,X2))),inverse(identity))=X2)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f390])).
% 0.82/0.55 fof(f528,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),multiply(X2,X1)),inverse(identity))=X2)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f527])).
% 0.82/0.55 fof(f540,plain,(
% 0.82/0.55 multiply(identity,inverse(identity))=inverse(identity)),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f399,f43])).
% 0.82/0.55 fof(f601,plain,(
% 0.82/0.55 identity=double_divide(inverse(inverse(identity)),inverse(identity))),
% 0.82/0.55 inference(paramodulation,[status(thm)],[f540,f47])).
% 0.82/0.55 fof(f609,plain,(
% 0.82/0.55 identity=inverse(identity)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f610,f540])).
% 0.82/0.55 fof(f610,plain,(
% 0.82/0.55 identity=multiply(identity,inverse(identity))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f201,f601])).
% 0.82/0.55 fof(f617,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),identity)=X1)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f42])).
% 0.82/0.55 fof(f621,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(multiply(X0,X1),double_divide(X1,X0))=identity)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f27])).
% 0.82/0.55 fof(f624,plain,(
% 0.82/0.55 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f24])).
% 0.82/0.55 fof(f638,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),multiply(X2,X1)),identity)=X2)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f528])).
% 0.82/0.55 fof(f639,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(inverse(X0),multiply(X1,X0)),identity)=X1)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f526])).
% 0.82/0.55 fof(f704,plain,(
% 0.82/0.55 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),identity)=double_divide(double_divide(double_divide(inverse(X0),inverse(X2)),X1),multiply(identity,X2)))),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f78])).
% 0.82/0.55 fof(f707,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,X1),identity)=double_divide(double_divide(identity,X1),multiply(identity,inverse(X0))))),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f92])).
% 0.82/0.55 fof(f708,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,multiply(X1,inverse(X0))),identity)=double_divide(identity,inverse(X1)))),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f70])).
% 0.82/0.55 fof(f714,plain,(
% 0.82/0.55 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),identity)=X1)),
% 0.82/0.55 inference(backward_demodulation,[status(thm)],[f609,f34])).
% 0.82/0.55 fof(f715,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f617])).
% 0.82/0.55 fof(f716,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(double_divide(double_divide(identity,X0),multiply(identity,X1)),X1)=X0)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f715])).
% 0.82/0.55 fof(f758,plain,(
% 0.82/0.55 ![X0,X1,X2]: (inverse(double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),multiply(X2,X1)))=X2)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f638])).
% 0.82/0.55 fof(f759,plain,(
% 0.82/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(inverse(X2),double_divide(double_divide(X2,X1),inverse(identity))))=X0)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f758])).
% 0.82/0.55 fof(f760,plain,(
% 0.82/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(inverse(X2),double_divide(double_divide(X2,X1),identity)))=X0)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f609,f759])).
% 0.82/0.55 fof(f761,plain,(
% 0.82/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(inverse(X2),inverse(double_divide(X2,X1))))=X0)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f760])).
% 0.82/0.55 fof(f762,plain,(
% 0.82/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(inverse(X2),multiply(X1,X2)))=X0)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f761])).
% 0.82/0.55 fof(f763,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(double_divide(inverse(X0),multiply(X1,X0)))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f639])).
% 0.82/0.55 fof(f764,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f763])).
% 0.82/0.55 fof(f950,plain,(
% 0.82/0.55 ![X0,X1,X2]: (inverse(double_divide(X0,X1))=double_divide(double_divide(double_divide(inverse(X0),inverse(X2)),X1),multiply(identity,X2)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f704])).
% 0.82/0.55 fof(f951,plain,(
% 0.82/0.55 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(double_divide(inverse(X1),inverse(X2)),X0),multiply(identity,X2)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f950])).
% 0.82/0.55 fof(f959,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(double_divide(X0,X1))=double_divide(double_divide(identity,X1),multiply(identity,inverse(X0))))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f707])).
% 0.82/0.55 fof(f960,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(identity,X0),multiply(identity,inverse(X1))))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f959])).
% 0.82/0.55 fof(f961,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(double_divide(X0,multiply(X1,inverse(X0))))=double_divide(identity,inverse(X1)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f708])).
% 0.82/0.55 fof(f963,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=double_divide(identity,inverse(X0)))),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f22,f961])).
% 0.82/0.55 fof(f971,plain,(
% 0.82/0.55 ![X0,X1]: (inverse(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))))=X1)),
% 0.82/0.55 inference(forward_demodulation,[status(thm)],[f8,f714])).
% 0.82/0.55 fof(f972,plain,(
% 0.82/0.55 ![X0,X1]: (multiply(double_divide(double_divide(inverse(X0),X1),inverse(identity)),X0)=X1)),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f22,f971])).
% 0.82/0.57 fof(f973,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(double_divide(double_divide(inverse(X0),X1),identity),X0)=X1)),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f609,f972])).
% 0.82/0.57 fof(f974,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(inverse(double_divide(inverse(X0),X1)),X0)=X1)),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f8,f973])).
% 0.82/0.57 fof(f975,plain,(
% 0.82/0.57 ![X0]: (X0=double_divide(identity,inverse(X0)))),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f976,f963])).
% 0.82/0.57 fof(f976,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f22,f974])).
% 0.82/0.57 fof(f1085,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(double_divide(X0,multiply(identity,X1)),X1)=inverse(X0))),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f975,f716])).
% 0.82/0.57 fof(f1218,plain,(
% 0.82/0.57 ![X0]: (multiply(identity,inverse(X0))=inverse(X0))),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f624,f764])).
% 0.82/0.57 fof(f1233,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(identity,X0),inverse(X1)))),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f1218,f960])).
% 0.82/0.57 fof(f1365,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(X0,double_divide(inverse(X1),multiply(X0,X1)))=identity)),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f764,f621])).
% 0.82/0.57 fof(f1466,plain,(
% 0.82/0.57 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),multiply(X2,X1)))=multiply(X0,inverse(X2)))),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f976,f762])).
% 0.82/0.57 fof(f1493,plain,(
% 0.82/0.57 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f1466,f1365])).
% 0.82/0.57 fof(f1537,plain,(
% 0.82/0.57 ![X0]: (multiply(identity,X0)=X0)),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f1493,f976])).
% 0.82/0.57 fof(f1539,plain,(
% 0.82/0.57 ![X0]: (multiply(identity,inverse(inverse(X0)))=X0)),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f1493,f764])).
% 0.82/0.57 fof(f1566,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f1537,f1085])).
% 0.82/0.57 fof(f1569,plain,(
% 0.82/0.57 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(double_divide(inverse(X1),inverse(X2)),X0),X2))),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f1537,f951])).
% 0.82/0.57 fof(f1582,plain,(
% 0.82/0.57 ![X0]: (inverse(inverse(X0))=X0)),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f1218,f1539])).
% 0.82/0.57 fof(f1735,plain,(
% 0.82/0.57 ![X0]: (inverse(X0)=double_divide(identity,X0))),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f1582,f975])).
% 0.82/0.57 fof(f1746,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(X0,X1)=double_divide(inverse(X0),inverse(X1)))),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f1735,f1233])).
% 0.82/0.57 fof(f1747,plain,(
% 0.82/0.57 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(multiply(X1,X2),X0),X2))),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f1746,f1569])).
% 0.82/0.57 fof(f2130,plain,(
% 0.82/0.57 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f1566,f976])).
% 0.82/0.57 fof(f2833,plain,(
% 0.82/0.57 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=inverse(double_divide(multiply(X1,X2),X0)))),
% 0.82/0.57 inference(paramodulation,[status(thm)],[f1747,f1566])).
% 0.82/0.57 fof(f2862,plain,(
% 0.82/0.57 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.82/0.57 inference(backward_demodulation,[status(thm)],[f2872,f19])).
% 0.82/0.57 fof(f2872,plain,(
% 0.82/0.57 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f22,f2833])).
% 0.82/0.57 fof(f2911,plain,(
% 0.82/0.57 $false|sQ2_spl),
% 0.82/0.57 inference(trivial_equality_resolution,[status(thm)],[f2862])).
% 0.82/0.57 fof(f2912,plain,(
% 0.82/0.57 sQ2_spl),
% 0.82/0.57 inference(contradiction_clause,[status(thm)],[f2911])).
% 0.82/0.57 fof(f2969,plain,(
% 0.82/0.57 ~double_divide(a1,inverse(a1))=identity|sQ0_spl),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f2130,f13])).
% 0.82/0.57 fof(f2970,plain,(
% 0.82/0.57 ~identity=identity|sQ0_spl),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f9,f2969])).
% 0.82/0.57 fof(f2971,plain,(
% 0.82/0.57 $false|sQ0_spl),
% 0.82/0.57 inference(trivial_equality_resolution,[status(thm)],[f2970])).
% 0.82/0.57 fof(f2972,plain,(
% 0.82/0.57 sQ0_spl),
% 0.82/0.57 inference(contradiction_clause,[status(thm)],[f2971])).
% 0.82/0.57 fof(f2973,plain,(
% 0.82/0.57 ~a2=a2|sQ1_spl),
% 0.82/0.57 inference(forward_demodulation,[status(thm)],[f1537,f16])).
% 0.82/0.57 fof(f2974,plain,(
% 0.82/0.57 $false|sQ1_spl),
% 0.82/0.57 inference(trivial_equality_resolution,[status(thm)],[f2973])).
% 0.82/0.57 fof(f2975,plain,(
% 0.82/0.57 sQ1_spl),
% 0.82/0.57 inference(contradiction_clause,[status(thm)],[f2974])).
% 0.82/0.57 fof(f2976,plain,(
% 0.82/0.57 $false),
% 0.82/0.57 inference(sat_refutation,[status(thm)],[f20,f2912,f2972,f2975])).
% 0.82/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.82/0.61 % Elapsed time: 0.234779 seconds
% 0.82/0.61 % CPU time: 1.392225 seconds
% 0.82/0.61 % Total memory used: 87.125 MB
% 0.82/0.61 % Net memory used: 85.466 MB
%------------------------------------------------------------------------------