TSTP Solution File: GRP348-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:20:10 EDT 2024

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Apr 30 00:48:14 EDT 2024
% 0.19/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.6.0
% 0.20/0.50  % Refutation found
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50  fof(f1,axiom,(
% 0.20/0.50    (![X]: (multiply(identity,X) = X ))),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f2,axiom,(
% 0.20/0.50    (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f3,axiom,(
% 0.20/0.50    (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f4,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c5,sk_c6) = sk_c4| inverse(sk_c4) = sk_c5 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f5,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c5,sk_c6) = sk_c4| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f6,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c5,sk_c6) = sk_c4| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f7,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c5,sk_c6) = sk_c4| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f8,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c1) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f9,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c1) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f10,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f11,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f12,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c1,sk_c5) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f13,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c1,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f14,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c1,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f15,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c1,sk_c5) = sk_c6| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f16,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c5 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f17,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f18,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f19,negated_conjecture,(
% 0.20/0.50    ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f20,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c2,sk_c4) = sk_c5| inverse(sk_c4) = sk_c5 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f21,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c2,sk_c4) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f22,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c2,sk_c4) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f23,negated_conjecture,(
% 0.20/0.50    ( multiply(sk_c2,sk_c4) = sk_c5| multiply(sk_c3,sk_c5) = sk_c6 ) ),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f24,negated_conjecture,(
% 0.20/0.50    (![X2,X3,X1]: (( multiply(sk_c5,sk_c6) != sk_c4| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6| inverse(X3) != sk_c5| multiply(X3,sk_c4) != sk_c5| inverse(sk_c4) != sk_c5| multiply(sk_c4,sk_c5) != sk_c6| inverse(X1) != sk_c6| multiply(X1,sk_c5) != sk_c6 ) ))),
% 0.20/0.50    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50  fof(f25,plain,(
% 0.20/0.50    ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.50    inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.51  fof(f26,plain,(
% 0.20/0.51    ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.51  fof(f27,plain,(
% 0.20/0.51    ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.51  fof(f28,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c6)=sk_c4|inverse(sk_c4)=sk_c5),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.51  fof(f29,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c6)=sk_c4|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.51  fof(f30,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c6)=sk_c4|inverse(sk_c3)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.51  fof(f31,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c6)=sk_c4|multiply(sk_c3,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.51  fof(f32,plain,(
% 0.20/0.51    inverse(sk_c1)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.51  fof(f33,plain,(
% 0.20/0.51    inverse(sk_c1)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.51  fof(f34,plain,(
% 0.20/0.51    inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.51  fof(f35,plain,(
% 0.20/0.51    inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.51  fof(f36,plain,(
% 0.20/0.51    multiply(sk_c1,sk_c5)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.51  fof(f37,plain,(
% 0.20/0.51    multiply(sk_c1,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.51  fof(f38,plain,(
% 0.20/0.51    multiply(sk_c1,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.51  fof(f39,plain,(
% 0.20/0.51    multiply(sk_c1,sk_c5)=sk_c6|multiply(sk_c3,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.51  fof(f40,plain,(
% 0.20/0.51    inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c5),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51  fof(f41,plain,(
% 0.20/0.51    inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.51  fof(f42,plain,(
% 0.20/0.51    inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.51  fof(f43,plain,(
% 0.20/0.51    inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.51  fof(f44,plain,(
% 0.20/0.51    multiply(sk_c2,sk_c4)=sk_c5|inverse(sk_c4)=sk_c5),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.51  fof(f45,plain,(
% 0.20/0.51    multiply(sk_c2,sk_c4)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.51  fof(f46,plain,(
% 0.20/0.51    multiply(sk_c2,sk_c4)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.51  fof(f47,plain,(
% 0.20/0.51    multiply(sk_c2,sk_c4)=sk_c5|multiply(sk_c3,sk_c5)=sk_c6),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.51  fof(f48,plain,(
% 0.20/0.51    ![X1]: (((((![X3]: (((![X2]: ((~multiply(sk_c5,sk_c6)=sk_c4|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6))|~inverse(X3)=sk_c5)|~multiply(X3,sk_c4)=sk_c5))|~inverse(sk_c4)=sk_c5)|~multiply(sk_c4,sk_c5)=sk_c6)|~inverse(X1)=sk_c6)|~multiply(X1,sk_c5)=sk_c6)),
% 0.20/0.51    inference(miniscoping,[status(esa)],[f24])).
% 0.20/0.51  fof(f49,plain,(
% 0.20/0.51    ![X0,X1,X2]: (~multiply(sk_c5,sk_c6)=sk_c4|~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~inverse(X1)=sk_c5|~multiply(X1,sk_c4)=sk_c5|~inverse(sk_c4)=sk_c5|~multiply(sk_c4,sk_c5)=sk_c6|~inverse(X2)=sk_c6|~multiply(X2,sk_c5)=sk_c6)),
% 0.20/0.51    inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.51  fof(f50,plain,(
% 0.20/0.51    spl0_0 <=> multiply(sk_c5,sk_c6)=sk_c4),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f51,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c6)=sk_c4|~spl0_0),
% 0.20/0.51    inference(component_clause,[status(thm)],[f50])).
% 0.20/0.51  fof(f52,plain,(
% 0.20/0.51    ~multiply(sk_c5,sk_c6)=sk_c4|spl0_0),
% 0.20/0.51    inference(component_clause,[status(thm)],[f50])).
% 0.20/0.51  fof(f53,plain,(
% 0.20/0.51    spl0_1 <=> inverse(sk_c4)=sk_c5),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f54,plain,(
% 0.20/0.51    inverse(sk_c4)=sk_c5|~spl0_1),
% 0.20/0.51    inference(component_clause,[status(thm)],[f53])).
% 0.20/0.51  fof(f55,plain,(
% 0.20/0.51    ~inverse(sk_c4)=sk_c5|spl0_1),
% 0.20/0.51    inference(component_clause,[status(thm)],[f53])).
% 0.20/0.51  fof(f56,plain,(
% 0.20/0.51    spl0_0|spl0_1),
% 0.20/0.51    inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.20/0.51  fof(f57,plain,(
% 0.20/0.51    spl0_2 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f58,plain,(
% 0.20/0.51    multiply(sk_c4,sk_c5)=sk_c6|~spl0_2),
% 0.20/0.51    inference(component_clause,[status(thm)],[f57])).
% 0.20/0.51  fof(f59,plain,(
% 0.20/0.51    ~multiply(sk_c4,sk_c5)=sk_c6|spl0_2),
% 0.20/0.51    inference(component_clause,[status(thm)],[f57])).
% 0.20/0.51  fof(f60,plain,(
% 0.20/0.51    spl0_0|spl0_2),
% 0.20/0.51    inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.20/0.51  fof(f61,plain,(
% 0.20/0.51    spl0_3 <=> inverse(sk_c3)=sk_c6),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f62,plain,(
% 0.20/0.51    inverse(sk_c3)=sk_c6|~spl0_3),
% 0.20/0.51    inference(component_clause,[status(thm)],[f61])).
% 0.20/0.51  fof(f64,plain,(
% 0.20/0.51    spl0_0|spl0_3),
% 0.20/0.51    inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.20/0.51  fof(f65,plain,(
% 0.20/0.51    spl0_4 <=> multiply(sk_c3,sk_c5)=sk_c6),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f66,plain,(
% 0.20/0.51    multiply(sk_c3,sk_c5)=sk_c6|~spl0_4),
% 0.20/0.51    inference(component_clause,[status(thm)],[f65])).
% 0.20/0.51  fof(f68,plain,(
% 0.20/0.51    spl0_0|spl0_4),
% 0.20/0.51    inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.20/0.51  fof(f69,plain,(
% 0.20/0.51    spl0_5 <=> inverse(sk_c1)=sk_c6),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f70,plain,(
% 0.20/0.51    inverse(sk_c1)=sk_c6|~spl0_5),
% 0.20/0.51    inference(component_clause,[status(thm)],[f69])).
% 0.20/0.51  fof(f72,plain,(
% 0.20/0.51    spl0_5|spl0_1),
% 0.20/0.51    inference(split_clause,[status(thm)],[f32,f69,f53])).
% 0.20/0.51  fof(f73,plain,(
% 0.20/0.51    spl0_5|spl0_2),
% 0.20/0.51    inference(split_clause,[status(thm)],[f33,f69,f57])).
% 0.20/0.51  fof(f74,plain,(
% 0.20/0.51    spl0_5|spl0_3),
% 0.20/0.51    inference(split_clause,[status(thm)],[f34,f69,f61])).
% 0.20/0.51  fof(f75,plain,(
% 0.20/0.51    spl0_5|spl0_4),
% 0.20/0.51    inference(split_clause,[status(thm)],[f35,f69,f65])).
% 0.20/0.51  fof(f76,plain,(
% 0.20/0.51    spl0_6 <=> multiply(sk_c1,sk_c5)=sk_c6),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f77,plain,(
% 0.20/0.51    multiply(sk_c1,sk_c5)=sk_c6|~spl0_6),
% 0.20/0.51    inference(component_clause,[status(thm)],[f76])).
% 0.20/0.51  fof(f79,plain,(
% 0.20/0.51    spl0_6|spl0_1),
% 0.20/0.51    inference(split_clause,[status(thm)],[f36,f76,f53])).
% 0.20/0.51  fof(f80,plain,(
% 0.20/0.51    spl0_6|spl0_2),
% 0.20/0.51    inference(split_clause,[status(thm)],[f37,f76,f57])).
% 0.20/0.51  fof(f81,plain,(
% 0.20/0.51    spl0_6|spl0_3),
% 0.20/0.51    inference(split_clause,[status(thm)],[f38,f76,f61])).
% 0.20/0.51  fof(f82,plain,(
% 0.20/0.51    spl0_6|spl0_4),
% 0.20/0.51    inference(split_clause,[status(thm)],[f39,f76,f65])).
% 0.20/0.51  fof(f83,plain,(
% 0.20/0.51    spl0_7 <=> inverse(sk_c2)=sk_c5),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f84,plain,(
% 0.20/0.51    inverse(sk_c2)=sk_c5|~spl0_7),
% 0.20/0.51    inference(component_clause,[status(thm)],[f83])).
% 0.20/0.51  fof(f86,plain,(
% 0.20/0.51    spl0_7|spl0_1),
% 0.20/0.51    inference(split_clause,[status(thm)],[f40,f83,f53])).
% 0.20/0.51  fof(f87,plain,(
% 0.20/0.51    spl0_7|spl0_2),
% 0.20/0.51    inference(split_clause,[status(thm)],[f41,f83,f57])).
% 0.20/0.51  fof(f88,plain,(
% 0.20/0.51    spl0_7|spl0_3),
% 0.20/0.51    inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.20/0.51  fof(f89,plain,(
% 0.20/0.51    spl0_7|spl0_4),
% 0.20/0.51    inference(split_clause,[status(thm)],[f43,f83,f65])).
% 0.20/0.51  fof(f90,plain,(
% 0.20/0.51    spl0_8 <=> multiply(sk_c2,sk_c4)=sk_c5),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f91,plain,(
% 0.20/0.51    multiply(sk_c2,sk_c4)=sk_c5|~spl0_8),
% 0.20/0.51    inference(component_clause,[status(thm)],[f90])).
% 0.20/0.51  fof(f93,plain,(
% 0.20/0.51    spl0_8|spl0_1),
% 0.20/0.51    inference(split_clause,[status(thm)],[f44,f90,f53])).
% 0.20/0.51  fof(f94,plain,(
% 0.20/0.51    spl0_8|spl0_2),
% 0.20/0.51    inference(split_clause,[status(thm)],[f45,f90,f57])).
% 0.20/0.51  fof(f95,plain,(
% 0.20/0.51    spl0_8|spl0_3),
% 0.20/0.51    inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.20/0.51  fof(f96,plain,(
% 0.20/0.51    spl0_8|spl0_4),
% 0.20/0.51    inference(split_clause,[status(thm)],[f47,f90,f65])).
% 0.20/0.51  fof(f97,plain,(
% 0.20/0.51    spl0_9 <=> ~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f98,plain,(
% 0.20/0.51    ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_9)),
% 0.20/0.51    inference(component_clause,[status(thm)],[f97])).
% 0.20/0.51  fof(f100,plain,(
% 0.20/0.51    spl0_10 <=> ~inverse(X1)=sk_c5|~multiply(X1,sk_c4)=sk_c5),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f101,plain,(
% 0.20/0.51    ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c4)=sk_c5|~spl0_10)),
% 0.20/0.51    inference(component_clause,[status(thm)],[f100])).
% 0.20/0.51  fof(f103,plain,(
% 0.20/0.51    ~spl0_0|spl0_9|spl0_10|~spl0_1|~spl0_2),
% 0.20/0.51    inference(split_clause,[status(thm)],[f49,f50,f97,f100,f53,f57])).
% 0.20/0.51  fof(f104,plain,(
% 0.20/0.51    ~inverse(sk_c2)=sk_c5|~spl0_10|~spl0_8),
% 0.20/0.51    inference(resolution,[status(thm)],[f101,f91])).
% 0.20/0.51  fof(f105,plain,(
% 0.20/0.51    ~sk_c5=sk_c5|~spl0_7|~spl0_10|~spl0_8),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f84,f104])).
% 0.20/0.51  fof(f106,plain,(
% 0.20/0.51    $false|~spl0_7|~spl0_10|~spl0_8),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f105])).
% 0.20/0.51  fof(f107,plain,(
% 0.20/0.51    ~spl0_7|~spl0_10|~spl0_8),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f106])).
% 0.20/0.51  fof(f108,plain,(
% 0.20/0.51    ~multiply(sk_c1,sk_c5)=sk_c6|~spl0_9|~spl0_5),
% 0.20/0.51    inference(resolution,[status(thm)],[f98,f70])).
% 0.20/0.51  fof(f109,plain,(
% 0.20/0.51    ~sk_c6=sk_c6|~spl0_6|~spl0_9|~spl0_5),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f77,f108])).
% 0.20/0.51  fof(f110,plain,(
% 0.20/0.51    $false|~spl0_6|~spl0_9|~spl0_5),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f109])).
% 0.20/0.51  fof(f111,plain,(
% 0.20/0.51    ~spl0_6|~spl0_9|~spl0_5),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f110])).
% 0.20/0.51  fof(f112,plain,(
% 0.20/0.51    ~multiply(sk_c3,sk_c5)=sk_c6|~spl0_9|~spl0_3),
% 0.20/0.51    inference(resolution,[status(thm)],[f98,f62])).
% 0.20/0.51  fof(f113,plain,(
% 0.20/0.51    ~sk_c6=sk_c6|~spl0_4|~spl0_9|~spl0_3),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f66,f112])).
% 0.20/0.51  fof(f114,plain,(
% 0.20/0.51    $false|~spl0_4|~spl0_9|~spl0_3),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f113])).
% 0.20/0.51  fof(f115,plain,(
% 0.20/0.51    ~spl0_4|~spl0_9|~spl0_3),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f114])).
% 0.20/0.51  fof(f119,plain,(
% 0.20/0.51    ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c5,X0))|~spl0_6)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f77,f27])).
% 0.20/0.51  fof(f122,plain,(
% 0.20/0.51    ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c5,X0))|~spl0_4)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f66,f27])).
% 0.20/0.51  fof(f144,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c4)=identity|~spl0_1),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f54,f26])).
% 0.20/0.51  fof(f145,plain,(
% 0.20/0.51    multiply(sk_c6,sk_c1)=identity|~spl0_5),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f70,f26])).
% 0.20/0.51  fof(f146,plain,(
% 0.20/0.51    multiply(sk_c6,sk_c3)=identity|~spl0_3),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f62,f26])).
% 0.20/0.51  fof(f147,plain,(
% 0.20/0.51    ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f26,f27])).
% 0.20/0.51  fof(f148,plain,(
% 0.20/0.51    ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f147])).
% 0.20/0.51  fof(f152,plain,(
% 0.20/0.51    ![X0]: (multiply(identity,X0)=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_1)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f144,f27])).
% 0.20/0.51  fof(f153,plain,(
% 0.20/0.51    ![X0]: (X0=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_1)),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f152])).
% 0.20/0.51  fof(f155,plain,(
% 0.20/0.51    ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c1,X0))|~spl0_5)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f145,f27])).
% 0.20/0.51  fof(f156,plain,(
% 0.20/0.51    ![X0]: (X0=multiply(sk_c6,multiply(sk_c1,X0))|~spl0_5)),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f155])).
% 0.20/0.51  fof(f158,plain,(
% 0.20/0.51    ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c3,X0))|~spl0_3)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f146,f27])).
% 0.20/0.51  fof(f159,plain,(
% 0.20/0.51    ![X0]: (X0=multiply(sk_c6,multiply(sk_c3,X0))|~spl0_3)),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f158])).
% 0.20/0.51  fof(f161,plain,(
% 0.20/0.51    sk_c5=multiply(sk_c5,sk_c6)|~spl0_1|~spl0_2),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f58,f153])).
% 0.20/0.51  fof(f167,plain,(
% 0.20/0.51    ~sk_c5=sk_c4|~spl0_1|~spl0_2|spl0_0),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f161,f52])).
% 0.20/0.51  fof(f168,plain,(
% 0.20/0.51    multiply(sk_c6,sk_c6)=multiply(sk_c3,sk_c5)|~spl0_4|~spl0_1|~spl0_2),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f161,f122])).
% 0.20/0.51  fof(f169,plain,(
% 0.20/0.51    multiply(sk_c6,sk_c6)=sk_c6|~spl0_4|~spl0_1|~spl0_2),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f66,f168])).
% 0.20/0.51  fof(f178,plain,(
% 0.20/0.51    ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c6,X0))|~spl0_5|~spl0_6)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f119,f156])).
% 0.20/0.51  fof(f179,plain,(
% 0.20/0.51    sk_c5=multiply(sk_c6,sk_c6)|~spl0_5|~spl0_6),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f77,f156])).
% 0.20/0.51  fof(f328,plain,(
% 0.20/0.51    ![X0]: (multiply(sk_c4,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_0)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f51,f27])).
% 0.20/0.51  fof(f353,plain,(
% 0.20/0.51    sk_c5=multiply(sk_c6,sk_c6)|~spl0_3|~spl0_4),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f66,f159])).
% 0.20/0.51  fof(f364,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c6)=multiply(sk_c6,sk_c5)|~spl0_5|~spl0_6),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f179,f178])).
% 0.20/0.51  fof(f365,plain,(
% 0.20/0.51    sk_c4=multiply(sk_c6,sk_c5)|~spl0_0|~spl0_5|~spl0_6),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f51,f364])).
% 0.20/0.51  fof(f378,plain,(
% 0.20/0.51    ![X0]: (X0=multiply(sk_c5,multiply(sk_c2,X0))|~spl0_7)),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f84,f148])).
% 0.20/0.51  fof(f379,plain,(
% 0.20/0.51    multiply(sk_c5,sk_c2)=identity|~spl0_7),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f84,f26])).
% 0.20/0.51  fof(f397,plain,(
% 0.20/0.51    multiply(sk_c6,sk_c6)=multiply(sk_c1,sk_c4)|~spl0_6|~spl0_0),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f51,f119])).
% 0.20/0.51  fof(f398,plain,(
% 0.20/0.51    sk_c5=multiply(sk_c1,sk_c4)|~spl0_5|~spl0_6|~spl0_0),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f179,f397])).
% 0.20/0.51  fof(f419,plain,(
% 0.20/0.51    multiply(sk_c4,sk_c5)=multiply(sk_c5,sk_c4)|~spl0_0|~spl0_5|~spl0_6),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f365,f328])).
% 0.20/0.51  fof(f420,plain,(
% 0.20/0.51    multiply(sk_c4,sk_c5)=identity|~spl0_1|~spl0_0|~spl0_5|~spl0_6),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f144,f419])).
% 0.20/0.51  fof(f437,plain,(
% 0.20/0.51    ~identity=sk_c6|~spl0_1|~spl0_0|~spl0_5|~spl0_6|spl0_2),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f420,f59])).
% 0.20/0.51  fof(f445,plain,(
% 0.20/0.51    sk_c4=multiply(sk_c5,sk_c5)|~spl0_7|~spl0_8),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f91,f378])).
% 0.20/0.51  fof(f451,plain,(
% 0.20/0.51    multiply(sk_c6,sk_c5)=multiply(sk_c1,sk_c4)|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f445,f119])).
% 0.20/0.51  fof(f452,plain,(
% 0.20/0.51    sk_c4=multiply(sk_c1,sk_c4)|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f365,f451])).
% 0.20/0.51  fof(f453,plain,(
% 0.20/0.51    sk_c4=sk_c5|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f398,f452])).
% 0.20/0.51  fof(f459,plain,(
% 0.20/0.51    sk_c5=multiply(sk_c5,sk_c5)|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f453,f445])).
% 0.20/0.51  fof(f461,plain,(
% 0.20/0.51    sk_c5=multiply(sk_c1,sk_c5)|~spl0_7|~spl0_8|~spl0_5|~spl0_6|~spl0_0),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f453,f398])).
% 0.20/0.51  fof(f462,plain,(
% 0.20/0.51    sk_c5=sk_c6|~spl0_7|~spl0_8|~spl0_5|~spl0_6|~spl0_0),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f77,f461])).
% 0.20/0.51  fof(f487,plain,(
% 0.20/0.51    sk_c5=multiply(inverse(sk_c5),sk_c5)|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f459,f148])).
% 0.20/0.51  fof(f488,plain,(
% 0.20/0.51    sk_c5=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f26,f487])).
% 0.20/0.51  fof(f493,plain,(
% 0.20/0.51    identity=sk_c6|~spl0_7|~spl0_8|~spl0_5|~spl0_6|~spl0_0),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f488,f462])).
% 0.20/0.51  fof(f494,plain,(
% 0.20/0.51    sk_c4=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f488,f453])).
% 0.20/0.51  fof(f497,plain,(
% 0.20/0.51    multiply(identity,sk_c2)=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_8|~spl0_7),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f488,f379])).
% 0.20/0.51  fof(f498,plain,(
% 0.20/0.51    sk_c2=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_8|~spl0_7),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f497])).
% 0.20/0.51  fof(f499,plain,(
% 0.20/0.51    inverse(sk_c2)=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_8|~spl0_7),
% 0.20/0.51    inference(backward_demodulation,[status(thm)],[f488,f84])).
% 0.20/0.51  fof(f501,plain,(
% 0.20/0.51    inverse(identity)=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_8|~spl0_7),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f498,f499])).
% 0.20/0.51  fof(f682,plain,(
% 0.20/0.51    ~identity=identity|~spl0_7|~spl0_8|~spl0_1|~spl0_0|~spl0_5|~spl0_6|spl0_2),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f493,f437])).
% 0.20/0.51  fof(f683,plain,(
% 0.20/0.51    $false|~spl0_7|~spl0_8|~spl0_1|~spl0_0|~spl0_5|~spl0_6|spl0_2),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f682])).
% 0.20/0.51  fof(f684,plain,(
% 0.20/0.51    ~spl0_7|~spl0_8|~spl0_1|~spl0_0|~spl0_5|~spl0_6|spl0_2),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f683])).
% 0.20/0.51  fof(f699,plain,(
% 0.20/0.51    spl0_11 <=> sk_c5=sk_c5),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f701,plain,(
% 0.20/0.51    ~sk_c5=sk_c5|spl0_11),
% 0.20/0.51    inference(component_clause,[status(thm)],[f699])).
% 0.20/0.51  fof(f702,plain,(
% 0.20/0.51    spl0_12 <=> multiply(sk_c4,sk_c4)=sk_c5),
% 0.20/0.51    introduced(split_symbol_definition)).
% 0.20/0.51  fof(f704,plain,(
% 0.20/0.51    ~multiply(sk_c4,sk_c4)=sk_c5|spl0_12),
% 0.20/0.51    inference(component_clause,[status(thm)],[f702])).
% 0.20/0.51  fof(f705,plain,(
% 0.20/0.51    ~sk_c5=sk_c5|~multiply(sk_c4,sk_c4)=sk_c5|~spl0_10|~spl0_1),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f54,f101])).
% 0.20/0.51  fof(f706,plain,(
% 0.20/0.51    ~spl0_11|~spl0_12|~spl0_10|~spl0_1),
% 0.20/0.51    inference(split_clause,[status(thm)],[f705,f699,f702,f100,f53])).
% 0.20/0.51  fof(f776,plain,(
% 0.20/0.51    $false|spl0_11),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f701])).
% 0.20/0.51  fof(f777,plain,(
% 0.20/0.51    spl0_11),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f776])).
% 0.20/0.51  fof(f780,plain,(
% 0.20/0.51    sk_c6=multiply(inverse(sk_c6),sk_c6)|~spl0_4|~spl0_1|~spl0_2),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f169,f148])).
% 0.20/0.51  fof(f781,plain,(
% 0.20/0.51    sk_c6=identity|~spl0_4|~spl0_1|~spl0_2),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f26,f780])).
% 0.20/0.51  fof(f1025,plain,(
% 0.20/0.51    ~inverse(identity)=sk_c5|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8|spl0_1),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f494,f55])).
% 0.20/0.51  fof(f1026,plain,(
% 0.20/0.51    ~identity=sk_c5|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8|spl0_1),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f501,f1025])).
% 0.20/0.51  fof(f1027,plain,(
% 0.20/0.51    ~identity=identity|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8|spl0_1),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f488,f1026])).
% 0.20/0.51  fof(f1028,plain,(
% 0.20/0.51    $false|~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8|spl0_1),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f1027])).
% 0.20/0.51  fof(f1029,plain,(
% 0.20/0.51    ~spl0_0|~spl0_5|~spl0_6|~spl0_7|~spl0_8|spl0_1),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f1028])).
% 0.20/0.51  fof(f1099,plain,(
% 0.20/0.51    sk_c5=multiply(identity,sk_c6)|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f781,f353])).
% 0.20/0.51  fof(f1100,plain,(
% 0.20/0.51    sk_c5=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f1099])).
% 0.20/0.51  fof(f1101,plain,(
% 0.20/0.51    sk_c5=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f781,f1100])).
% 0.20/0.51  fof(f1112,plain,(
% 0.20/0.51    ~multiply(sk_c4,sk_c4)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f1101,f704])).
% 0.20/0.51  fof(f1113,plain,(
% 0.20/0.51    inverse(sk_c4)=identity|~spl0_2|~spl0_3|~spl0_4|~spl0_1),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f1101,f54])).
% 0.20/0.51  fof(f1115,plain,(
% 0.20/0.51    ~identity=sk_c4|~spl0_3|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f1101,f167])).
% 0.20/0.51  fof(f1125,plain,(
% 0.20/0.51    multiply(identity,sk_c4)=identity|~spl0_2|~spl0_3|~spl0_4|~spl0_1),
% 0.20/0.51    inference(paramodulation,[status(thm)],[f1113,f26])).
% 0.20/0.51  fof(f1126,plain,(
% 0.20/0.51    sk_c4=identity|~spl0_2|~spl0_3|~spl0_4|~spl0_1),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f1125])).
% 0.20/0.51  fof(f1154,plain,(
% 0.20/0.51    ~multiply(identity,sk_c4)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f1126,f1112])).
% 0.20/0.51  fof(f1155,plain,(
% 0.20/0.51    ~sk_c4=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f25,f1154])).
% 0.20/0.51  fof(f1156,plain,(
% 0.20/0.51    ~identity=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f1126,f1155])).
% 0.20/0.51  fof(f1157,plain,(
% 0.20/0.51    $false|~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f1156])).
% 0.20/0.51  fof(f1158,plain,(
% 0.20/0.51    ~spl0_1|~spl0_2|~spl0_3|~spl0_4|spl0_12),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f1157])).
% 0.20/0.51  fof(f1270,plain,(
% 0.20/0.51    ~identity=identity|~spl0_3|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.20/0.51    inference(forward_demodulation,[status(thm)],[f1126,f1115])).
% 0.20/0.51  fof(f1271,plain,(
% 0.20/0.51    $false|~spl0_3|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.20/0.51    inference(trivial_equality_resolution,[status(esa)],[f1270])).
% 0.20/0.51  fof(f1272,plain,(
% 0.20/0.51    ~spl0_3|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.20/0.51    inference(contradiction_clause,[status(thm)],[f1271])).
% 0.20/0.51  fof(f1273,plain,(
% 0.20/0.51    $false),
% 0.20/0.51    inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f73,f74,f75,f79,f80,f81,f82,f86,f87,f88,f89,f93,f94,f95,f96,f103,f107,f111,f115,f684,f706,f777,f1029,f1158,f1272])).
% 0.20/0.51  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.51  % Elapsed time: 0.162886 seconds
% 0.20/0.51  % CPU time: 1.192653 seconds
% 0.20/0.51  % Total memory used: 82.345 MB
% 0.20/0.51  % Net memory used: 81.352 MB
%------------------------------------------------------------------------------