TSTP Solution File: GRP274-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP274-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:19:56 EDT 2024

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP274-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36  % Computer : n020.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Tue Apr 30 00:12:47 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.20/0.46  % Refutation found
% 0.20/0.46  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.46  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.46  fof(f1,axiom,(
% 0.20/0.46    (![X]: (multiply(identity,X) = X ))),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f2,axiom,(
% 0.20/0.46    (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f3,axiom,(
% 0.20/0.46    (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f4,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f5,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f6,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f7,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f8,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f9,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f10,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f11,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f12,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f13,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f14,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f19,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f20,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f21,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f22,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f23,negated_conjecture,(
% 0.20/0.46    ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f24,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c2) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f25,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f26,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f27,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f28,negated_conjecture,(
% 0.20/0.46    ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f29,negated_conjecture,(
% 0.20/0.46    (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.20/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.46  fof(f30,plain,(
% 0.20/0.46    ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.46  fof(f31,plain,(
% 0.20/0.46    ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.46  fof(f32,plain,(
% 0.20/0.46    ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.46  fof(f33,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.46  fof(f34,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.46  fof(f35,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.46  fof(f36,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.46  fof(f37,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.46  fof(f38,plain,(
% 0.20/0.46    inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.46  fof(f39,plain,(
% 0.20/0.46    inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.46  fof(f40,plain,(
% 0.20/0.46    inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.46  fof(f41,plain,(
% 0.20/0.46    inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.46  fof(f42,plain,(
% 0.20/0.46    inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.46  fof(f43,plain,(
% 0.20/0.46    multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.46  fof(f48,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.46  fof(f49,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.46  fof(f50,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.46  fof(f51,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.46  fof(f52,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.46  fof(f53,plain,(
% 0.20/0.46    inverse(sk_c2)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.46  fof(f54,plain,(
% 0.20/0.46    inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.46  fof(f55,plain,(
% 0.20/0.46    inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.46  fof(f56,plain,(
% 0.20/0.46    inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.46  fof(f57,plain,(
% 0.20/0.46    inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.46  fof(f58,plain,(
% 0.20/0.46    ![X2]: (((![X1]: ((((![X4]: ((((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.20/0.46    inference(miniscoping,[status(esa)],[f29])).
% 0.20/0.46  fof(f59,plain,(
% 0.20/0.46    ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.20/0.46    inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.46  fof(f60,plain,(
% 0.20/0.46    spl0_0 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f61,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=sk_c6|~spl0_0),
% 0.20/0.46    inference(component_clause,[status(thm)],[f60])).
% 0.20/0.46  fof(f63,plain,(
% 0.20/0.46    spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f64,plain,(
% 0.20/0.46    multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.20/0.46    inference(component_clause,[status(thm)],[f63])).
% 0.20/0.46  fof(f65,plain,(
% 0.20/0.46    ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.20/0.46    inference(component_clause,[status(thm)],[f63])).
% 0.20/0.46  fof(f66,plain,(
% 0.20/0.46    spl0_0|spl0_1),
% 0.20/0.46    inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.20/0.46  fof(f67,plain,(
% 0.20/0.46    spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f68,plain,(
% 0.20/0.46    inverse(sk_c3)=sk_c7|~spl0_2),
% 0.20/0.46    inference(component_clause,[status(thm)],[f67])).
% 0.20/0.46  fof(f70,plain,(
% 0.20/0.46    spl0_0|spl0_2),
% 0.20/0.46    inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.20/0.46  fof(f71,plain,(
% 0.20/0.46    spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f72,plain,(
% 0.20/0.46    multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.20/0.46    inference(component_clause,[status(thm)],[f71])).
% 0.20/0.46  fof(f74,plain,(
% 0.20/0.46    spl0_0|spl0_3),
% 0.20/0.46    inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.20/0.46  fof(f75,plain,(
% 0.20/0.46    spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f76,plain,(
% 0.20/0.46    inverse(sk_c4)=sk_c6|~spl0_4),
% 0.20/0.46    inference(component_clause,[status(thm)],[f75])).
% 0.20/0.46  fof(f78,plain,(
% 0.20/0.46    spl0_0|spl0_4),
% 0.20/0.46    inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.20/0.46  fof(f79,plain,(
% 0.20/0.46    spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f80,plain,(
% 0.20/0.46    multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.20/0.46    inference(component_clause,[status(thm)],[f79])).
% 0.20/0.46  fof(f82,plain,(
% 0.20/0.46    spl0_0|spl0_5),
% 0.20/0.46    inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.20/0.46  fof(f83,plain,(
% 0.20/0.46    spl0_6 <=> inverse(sk_c1)=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f84,plain,(
% 0.20/0.46    inverse(sk_c1)=sk_c7|~spl0_6),
% 0.20/0.46    inference(component_clause,[status(thm)],[f83])).
% 0.20/0.46  fof(f86,plain,(
% 0.20/0.46    spl0_6|spl0_1),
% 0.20/0.46    inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.20/0.46  fof(f87,plain,(
% 0.20/0.46    spl0_6|spl0_2),
% 0.20/0.46    inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.20/0.46  fof(f88,plain,(
% 0.20/0.46    spl0_6|spl0_3),
% 0.20/0.46    inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.20/0.46  fof(f89,plain,(
% 0.20/0.46    spl0_6|spl0_4),
% 0.20/0.46    inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.20/0.46  fof(f90,plain,(
% 0.20/0.46    spl0_6|spl0_5),
% 0.20/0.46    inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.20/0.46  fof(f91,plain,(
% 0.20/0.46    spl0_7 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f92,plain,(
% 0.20/0.46    multiply(sk_c7,sk_c5)=sk_c6|~spl0_7),
% 0.20/0.46    inference(component_clause,[status(thm)],[f91])).
% 0.20/0.46  fof(f93,plain,(
% 0.20/0.46    ~multiply(sk_c7,sk_c5)=sk_c6|spl0_7),
% 0.20/0.46    inference(component_clause,[status(thm)],[f91])).
% 0.20/0.46  fof(f94,plain,(
% 0.20/0.46    spl0_7|spl0_1),
% 0.20/0.46    inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.20/0.46  fof(f99,plain,(
% 0.20/0.46    spl0_8 <=> multiply(sk_c2,sk_c5)=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f100,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=sk_c7|~spl0_8),
% 0.20/0.46    inference(component_clause,[status(thm)],[f99])).
% 0.20/0.46  fof(f102,plain,(
% 0.20/0.46    spl0_8|spl0_1),
% 0.20/0.46    inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.20/0.46  fof(f103,plain,(
% 0.20/0.46    spl0_8|spl0_2),
% 0.20/0.46    inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.20/0.46  fof(f104,plain,(
% 0.20/0.46    spl0_8|spl0_3),
% 0.20/0.46    inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.20/0.46  fof(f105,plain,(
% 0.20/0.46    spl0_8|spl0_4),
% 0.20/0.46    inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.20/0.46  fof(f106,plain,(
% 0.20/0.46    spl0_8|spl0_5),
% 0.20/0.46    inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.20/0.46  fof(f107,plain,(
% 0.20/0.46    spl0_9 <=> inverse(sk_c2)=sk_c5),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f108,plain,(
% 0.20/0.46    inverse(sk_c2)=sk_c5|~spl0_9),
% 0.20/0.46    inference(component_clause,[status(thm)],[f107])).
% 0.20/0.46  fof(f110,plain,(
% 0.20/0.46    spl0_9|spl0_1),
% 0.20/0.46    inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.20/0.46  fof(f111,plain,(
% 0.20/0.46    spl0_9|spl0_2),
% 0.20/0.46    inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.20/0.46  fof(f112,plain,(
% 0.20/0.46    spl0_9|spl0_3),
% 0.20/0.46    inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.20/0.46  fof(f113,plain,(
% 0.20/0.46    spl0_9|spl0_4),
% 0.20/0.46    inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.20/0.46  fof(f114,plain,(
% 0.20/0.46    spl0_9|spl0_5),
% 0.20/0.46    inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.20/0.46  fof(f115,plain,(
% 0.20/0.46    spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f116,plain,(
% 0.20/0.46    ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.20/0.46    inference(component_clause,[status(thm)],[f115])).
% 0.20/0.46  fof(f118,plain,(
% 0.20/0.46    spl0_11 <=> ~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f119,plain,(
% 0.20/0.46    ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~spl0_11)),
% 0.20/0.46    inference(component_clause,[status(thm)],[f118])).
% 0.20/0.46  fof(f121,plain,(
% 0.20/0.46    spl0_12 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f122,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.20/0.46    inference(component_clause,[status(thm)],[f121])).
% 0.20/0.46  fof(f124,plain,(
% 0.20/0.46    spl0_13 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f125,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_13)),
% 0.20/0.46    inference(component_clause,[status(thm)],[f124])).
% 0.20/0.46  fof(f127,plain,(
% 0.20/0.46    spl0_10|~spl0_7|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.20/0.46    inference(split_clause,[status(thm)],[f59,f115,f91,f118,f63,f121,f124])).
% 0.20/0.46  fof(f132,plain,(
% 0.20/0.46    ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f31,f32])).
% 0.20/0.46  fof(f133,plain,(
% 0.20/0.46    ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f30,f132])).
% 0.20/0.46  fof(f134,plain,(
% 0.20/0.46    ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f133,f133])).
% 0.20/0.46  fof(f135,plain,(
% 0.20/0.46    ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f31,f133])).
% 0.20/0.46  fof(f137,plain,(
% 0.20/0.46    ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f32,f133])).
% 0.20/0.46  fof(f144,plain,(
% 0.20/0.46    ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f133,f134])).
% 0.20/0.46  fof(f145,plain,(
% 0.20/0.46    ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f31,f134])).
% 0.20/0.46  fof(f154,plain,(
% 0.20/0.46    inverse(identity)=identity),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f30,f145])).
% 0.20/0.46  fof(f173,plain,(
% 0.20/0.46    ![X0]: (X0=multiply(X0,identity))),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f134,f135])).
% 0.20/0.46  fof(f174,plain,(
% 0.20/0.46    ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f134,f173])).
% 0.20/0.46  fof(f175,plain,(
% 0.20/0.46    ![X0]: (inverse(inverse(X0))=X0)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f173,f174])).
% 0.20/0.46  fof(f201,plain,(
% 0.20/0.46    ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f32,f137])).
% 0.20/0.46  fof(f202,plain,(
% 0.20/0.46    ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f32,f201])).
% 0.20/0.46  fof(f251,plain,(
% 0.20/0.46    ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f144,f137])).
% 0.20/0.46  fof(f601,plain,(
% 0.20/0.46    multiply(sk_c2,sk_c5)=identity|~spl0_9),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f108,f145])).
% 0.20/0.46  fof(f605,plain,(
% 0.20/0.46    inverse(sk_c6)=sk_c4|~spl0_4),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f76,f175])).
% 0.20/0.46  fof(f610,plain,(
% 0.20/0.46    inverse(sk_c7)=sk_c3|~spl0_2),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f68,f175])).
% 0.20/0.46  fof(f611,plain,(
% 0.20/0.46    multiply(sk_c3,sk_c7)=identity|~spl0_2),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f68,f145])).
% 0.20/0.46  fof(f615,plain,(
% 0.20/0.46    inverse(sk_c7)=sk_c1|~spl0_6),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f84,f175])).
% 0.20/0.46  fof(f645,plain,(
% 0.20/0.46    sk_c3=sk_c1|~spl0_2|~spl0_6),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f610,f615])).
% 0.20/0.46  fof(f667,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c6)=sk_c7|~spl0_2|~spl0_6|~spl0_3),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f645,f72])).
% 0.20/0.46  fof(f723,plain,(
% 0.20/0.46    spl0_15 <=> sk_c6=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f725,plain,(
% 0.20/0.46    ~sk_c6=sk_c6|spl0_15),
% 0.20/0.46    inference(component_clause,[status(thm)],[f723])).
% 0.20/0.46  fof(f733,plain,(
% 0.20/0.46    spl0_17 <=> identity=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f734,plain,(
% 0.20/0.46    identity=sk_c6|~spl0_17),
% 0.20/0.46    inference(component_clause,[status(thm)],[f733])).
% 0.20/0.46  fof(f735,plain,(
% 0.20/0.46    ~identity=sk_c6|spl0_17),
% 0.20/0.46    inference(component_clause,[status(thm)],[f733])).
% 0.20/0.46  fof(f738,plain,(
% 0.20/0.46    spl0_18 <=> inverse(identity)=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f739,plain,(
% 0.20/0.46    inverse(identity)=sk_c6|~spl0_18),
% 0.20/0.46    inference(component_clause,[status(thm)],[f738])).
% 0.20/0.46  fof(f740,plain,(
% 0.20/0.46    ~inverse(identity)=sk_c6|spl0_18),
% 0.20/0.46    inference(component_clause,[status(thm)],[f738])).
% 0.20/0.46  fof(f741,plain,(
% 0.20/0.46    spl0_19 <=> sk_c7=sk_c6),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f742,plain,(
% 0.20/0.46    sk_c7=sk_c6|~spl0_19),
% 0.20/0.46    inference(component_clause,[status(thm)],[f741])).
% 0.20/0.46  fof(f743,plain,(
% 0.20/0.46    ~sk_c7=sk_c6|spl0_19),
% 0.20/0.46    inference(component_clause,[status(thm)],[f741])).
% 0.20/0.46  fof(f747,plain,(
% 0.20/0.46    ~identity=sk_c6|spl0_18),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f154,f740])).
% 0.20/0.46  fof(f749,plain,(
% 0.20/0.46    $false|spl0_15),
% 0.20/0.46    inference(trivial_equality_resolution,[status(esa)],[f725])).
% 0.20/0.46  fof(f750,plain,(
% 0.20/0.46    spl0_15),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f749])).
% 0.20/0.46  fof(f752,plain,(
% 0.20/0.46    ~inverse(sk_c1)=sk_c7|~spl0_12|~spl0_2|~spl0_6|~spl0_3),
% 0.20/0.46    inference(resolution,[status(thm)],[f122,f667])).
% 0.20/0.46  fof(f753,plain,(
% 0.20/0.46    ~sk_c7=sk_c7|~spl0_12|~spl0_2|~spl0_6|~spl0_3),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f84,f752])).
% 0.20/0.46  fof(f754,plain,(
% 0.20/0.46    $false|~spl0_12|~spl0_2|~spl0_6|~spl0_3),
% 0.20/0.46    inference(trivial_equality_resolution,[status(esa)],[f753])).
% 0.20/0.46  fof(f755,plain,(
% 0.20/0.46    ~spl0_12|~spl0_2|~spl0_6|~spl0_3),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f754])).
% 0.20/0.46  fof(f772,plain,(
% 0.20/0.46    multiply(sk_c1,sk_c7)=identity|~spl0_6),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f615,f31])).
% 0.20/0.46  fof(f773,plain,(
% 0.20/0.46    sk_c6=identity|~spl0_0|~spl0_6),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f61,f772])).
% 0.20/0.46  fof(f774,plain,(
% 0.20/0.46    $false|spl0_18|~spl0_0|~spl0_6),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f773,f747])).
% 0.20/0.46  fof(f775,plain,(
% 0.20/0.46    spl0_18|~spl0_0|~spl0_6),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f774])).
% 0.20/0.46  fof(f776,plain,(
% 0.20/0.46    identity=sk_c6|~spl0_18),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f154,f739])).
% 0.20/0.46  fof(f778,plain,(
% 0.20/0.46    $false|spl0_17|~spl0_18),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f776,f735])).
% 0.20/0.46  fof(f779,plain,(
% 0.20/0.46    spl0_17|~spl0_18),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f778])).
% 0.20/0.46  fof(f790,plain,(
% 0.20/0.46    ![X0,X1]: (sk_c7=multiply(inverse(multiply(X0,multiply(X1,sk_c6))),multiply(X0,multiply(X1,sk_c5)))|~spl0_1)),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f64,f202])).
% 0.20/0.46  fof(f1659,plain,(
% 0.20/0.46    sk_c7=identity|~spl0_8|~spl0_9),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f100,f601])).
% 0.20/0.46  fof(f1885,plain,(
% 0.20/0.46    spl0_20 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.20/0.46    introduced(split_symbol_definition)).
% 0.20/0.46  fof(f1887,plain,(
% 0.20/0.46    ~inverse(inverse(sk_c7))=sk_c7|spl0_20),
% 0.20/0.46    inference(component_clause,[status(thm)],[f1885])).
% 0.20/0.46  fof(f1888,plain,(
% 0.20/0.46    ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_10),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f31,f116])).
% 0.20/0.46  fof(f1889,plain,(
% 0.20/0.46    ~spl0_17|~spl0_20|~spl0_10),
% 0.20/0.46    inference(split_clause,[status(thm)],[f1888,f733,f1885,f115])).
% 0.20/0.46  fof(f1897,plain,(
% 0.20/0.46    ~sk_c7=sk_c7|spl0_20),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f175,f1887])).
% 0.20/0.46  fof(f1898,plain,(
% 0.20/0.46    $false|spl0_20),
% 0.20/0.46    inference(trivial_equality_resolution,[status(esa)],[f1897])).
% 0.20/0.46  fof(f1899,plain,(
% 0.20/0.46    spl0_20),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f1898])).
% 0.20/0.46  fof(f1927,plain,(
% 0.20/0.46    sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 0.20/0.46    inference(paramodulation,[status(thm)],[f64,f133])).
% 0.20/0.46  fof(f1928,plain,(
% 0.20/0.46    sk_c7=multiply(sk_c4,sk_c5)|~spl0_4|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f605,f1927])).
% 0.20/0.46  fof(f1929,plain,(
% 0.20/0.46    sk_c7=sk_c6|~spl0_5|~spl0_4|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f80,f1928])).
% 0.20/0.46  fof(f1930,plain,(
% 0.20/0.46    $false|spl0_19|~spl0_5|~spl0_4|~spl0_1),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f1929,f743])).
% 0.20/0.46  fof(f1931,plain,(
% 0.20/0.46    spl0_19|~spl0_5|~spl0_4|~spl0_1),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f1930])).
% 0.20/0.46  fof(f2650,plain,(
% 0.20/0.46    multiply(sk_c3,sk_c7)=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.20/0.46    inference(backward_demodulation,[status(thm)],[f1929,f72])).
% 0.20/0.46  fof(f2651,plain,(
% 0.20/0.46    identity=sk_c7|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f611,f2650])).
% 0.20/0.46  fof(f2657,plain,(
% 0.20/0.46    ~identity=sk_c7|~spl0_5|~spl0_4|~spl0_1|spl0_18),
% 0.20/0.46    inference(backward_demodulation,[status(thm)],[f1929,f747])).
% 0.20/0.46  fof(f2664,plain,(
% 0.20/0.46    $false|spl0_18|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f2651,f2657])).
% 0.20/0.46  fof(f2665,plain,(
% 0.20/0.46    spl0_18|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f2664])).
% 0.20/0.46  fof(f2694,plain,(
% 0.20/0.46    ~identity=sk_c6|~spl0_8|~spl0_9|spl0_19),
% 0.20/0.46    inference(backward_demodulation,[status(thm)],[f1659,f743])).
% 0.20/0.46  fof(f2695,plain,(
% 0.20/0.46    ~spl0_17|~spl0_8|~spl0_9|spl0_19),
% 0.20/0.46    inference(split_clause,[status(thm)],[f2694,f733,f99,f107,f741])).
% 0.20/0.46  fof(f2986,plain,(
% 0.20/0.46    ![X0]: (sk_c7=multiply(inverse(multiply(X0,sk_c6)),multiply(X0,sk_c5))|~spl0_1)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f251,f790])).
% 0.20/0.46  fof(f2987,plain,(
% 0.20/0.46    sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f251,f2986])).
% 0.20/0.46  fof(f2988,plain,(
% 0.20/0.46    sk_c7=multiply(inverse(identity),sk_c5)|~spl0_17|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f2987])).
% 0.20/0.46  fof(f2989,plain,(
% 0.20/0.46    sk_c7=multiply(identity,sk_c5)|~spl0_17|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f154,f2988])).
% 0.20/0.46  fof(f2990,plain,(
% 0.20/0.46    sk_c7=sk_c5|~spl0_17|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f30,f2989])).
% 0.20/0.46  fof(f3067,plain,(
% 0.20/0.46    sk_c7=identity|~spl0_17|~spl0_19),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f742])).
% 0.20/0.46  fof(f3073,plain,(
% 0.20/0.46    multiply(identity,sk_c5)=sk_c6|~spl0_17|~spl0_19|~spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f92])).
% 0.20/0.46  fof(f3074,plain,(
% 0.20/0.46    sk_c5=sk_c6|~spl0_17|~spl0_19|~spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f30,f3073])).
% 0.20/0.46  fof(f3075,plain,(
% 0.20/0.46    sk_c5=identity|~spl0_17|~spl0_19|~spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f3074])).
% 0.20/0.46  fof(f3290,plain,(
% 0.20/0.46    ~multiply(identity,sk_c5)=sk_c6|~spl0_17|~spl0_19|spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f93])).
% 0.20/0.46  fof(f3291,plain,(
% 0.20/0.46    ~sk_c5=sk_c6|~spl0_17|~spl0_19|spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f30,f3290])).
% 0.20/0.46  fof(f3292,plain,(
% 0.20/0.46    ~sk_c5=identity|~spl0_17|~spl0_19|spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f3291])).
% 0.20/0.46  fof(f3717,plain,(
% 0.20/0.46    identity=sk_c5|~spl0_19|~spl0_17|~spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f2990])).
% 0.20/0.46  fof(f3726,plain,(
% 0.20/0.46    ~identity=identity|~spl0_1|~spl0_17|~spl0_19|spl0_7),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3717,f3292])).
% 0.20/0.46  fof(f3727,plain,(
% 0.20/0.46    $false|~spl0_1|~spl0_17|~spl0_19|spl0_7),
% 0.20/0.46    inference(trivial_equality_resolution,[status(esa)],[f3726])).
% 0.20/0.46  fof(f3728,plain,(
% 0.20/0.46    ~spl0_1|~spl0_17|~spl0_19|spl0_7),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f3727])).
% 0.20/0.46  fof(f3786,plain,(
% 0.20/0.46    ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c5|~spl0_19|~spl0_17|~spl0_1|~spl0_11)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3717,f119])).
% 0.20/0.46  fof(f3787,plain,(
% 0.20/0.46    ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c5|~spl0_19|~spl0_17|~spl0_1|~spl0_11)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f173,f3786])).
% 0.20/0.46  fof(f3788,plain,(
% 0.20/0.46    ![X0]: (~X0=identity|~inverse(X0)=sk_c5|~spl0_19|~spl0_17|~spl0_1|~spl0_11)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f3787])).
% 0.20/0.46  fof(f3789,plain,(
% 0.20/0.46    ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_19|~spl0_17|~spl0_1|~spl0_11)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3717,f3788])).
% 0.20/0.46  fof(f3790,plain,(
% 0.20/0.46    ~inverse(identity)=identity|~spl0_19|~spl0_17|~spl0_1|~spl0_11),
% 0.20/0.46    inference(destructive_equality_resolution,[status(esa)],[f3789])).
% 0.20/0.46  fof(f3791,plain,(
% 0.20/0.46    $false|~spl0_19|~spl0_17|~spl0_1|~spl0_11),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f3790,f154])).
% 0.20/0.46  fof(f3792,plain,(
% 0.20/0.46    ~spl0_19|~spl0_17|~spl0_1|~spl0_11),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f3791])).
% 0.20/0.46  fof(f3793,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_17|~spl0_13)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f125])).
% 0.20/0.46  fof(f3794,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_19|~spl0_1|~spl0_17|~spl0_13)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3717,f3793])).
% 0.20/0.46  fof(f3795,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_19|~spl0_1|~spl0_17|~spl0_13)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f173,f3794])).
% 0.20/0.46  fof(f3796,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_19|~spl0_1|~spl0_17|~spl0_13)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f3795])).
% 0.20/0.46  fof(f3797,plain,(
% 0.20/0.46    ~inverse(identity)=identity|~spl0_19|~spl0_1|~spl0_17|~spl0_13),
% 0.20/0.46    inference(destructive_equality_resolution,[status(esa)],[f3796])).
% 0.20/0.46  fof(f3798,plain,(
% 0.20/0.46    $false|~spl0_19|~spl0_1|~spl0_17|~spl0_13),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f3797,f154])).
% 0.20/0.46  fof(f3799,plain,(
% 0.20/0.46    ~spl0_19|~spl0_1|~spl0_17|~spl0_13),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f3798])).
% 0.20/0.46  fof(f3801,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_17|~spl0_19|~spl0_12)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f122])).
% 0.20/0.46  fof(f3802,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_17|~spl0_19|~spl0_12)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f3801])).
% 0.20/0.46  fof(f3803,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_17|~spl0_19|~spl0_12)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f173,f3802])).
% 0.20/0.46  fof(f3804,plain,(
% 0.20/0.46    ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_17|~spl0_19|~spl0_12)),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f3803])).
% 0.20/0.46  fof(f3805,plain,(
% 0.20/0.46    ~inverse(identity)=identity|~spl0_17|~spl0_19|~spl0_12),
% 0.20/0.46    inference(destructive_equality_resolution,[status(esa)],[f3804])).
% 0.20/0.46  fof(f3806,plain,(
% 0.20/0.46    $false|~spl0_17|~spl0_19|~spl0_12),
% 0.20/0.46    inference(forward_subsumption_resolution,[status(thm)],[f3805,f154])).
% 0.20/0.46  fof(f3807,plain,(
% 0.20/0.46    ~spl0_17|~spl0_19|~spl0_12),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f3806])).
% 0.20/0.46  fof(f3830,plain,(
% 0.20/0.46    ~multiply(identity,sk_c7)=sk_c5|~spl0_17|spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f734,f65])).
% 0.20/0.46  fof(f3831,plain,(
% 0.20/0.46    ~sk_c7=sk_c5|~spl0_17|spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f30,f3830])).
% 0.20/0.46  fof(f3832,plain,(
% 0.20/0.46    ~identity=sk_c5|~spl0_19|~spl0_17|spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3067,f3831])).
% 0.20/0.46  fof(f3903,plain,(
% 0.20/0.46    ~identity=identity|~spl0_7|~spl0_19|~spl0_17|spl0_1),
% 0.20/0.46    inference(forward_demodulation,[status(thm)],[f3075,f3832])).
% 0.20/0.46  fof(f3904,plain,(
% 0.20/0.46    $false|~spl0_7|~spl0_19|~spl0_17|spl0_1),
% 0.20/0.46    inference(trivial_equality_resolution,[status(esa)],[f3903])).
% 0.20/0.46  fof(f3905,plain,(
% 0.20/0.46    ~spl0_7|~spl0_19|~spl0_17|spl0_1),
% 0.20/0.46    inference(contradiction_clause,[status(thm)],[f3904])).
% 0.20/0.46  fof(f3906,plain,(
% 0.20/0.46    $false),
% 0.20/0.46    inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f750,f755,f775,f779,f1889,f1899,f1931,f2665,f2695,f3728,f3792,f3799,f3807,f3905])).
% 0.20/0.46  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.47  % Elapsed time: 0.107701 seconds
% 0.20/0.47  % CPU time: 0.726907 seconds
% 0.20/0.47  % Total memory used: 75.869 MB
% 0.20/0.47  % Net memory used: 75.103 MB
%------------------------------------------------------------------------------