%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 : Thu May  9 17:36:49 EDT 2024

% Result   : Theorem 8.00s 8.20s
% Output   : Refutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('holds(266, 415, 3)',conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(266, 415, 3)') ).

fof(c49,negated_conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    inference(assume_negation,[status(cth)],['holds(266, 415, 3)']) ).

fof(c50,negated_conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    inference(fof_simplification,[status(thm)],[c49]) ).

cnf(c51,negated_conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    inference(split_conjunct,[status(thm)],[c50]) ).

cnf(reflexivity,axiom,
    X25 = X25,
    theory(equality) ).

cnf(c0,axiom,
    ( X41 != X43
    | X42 != X40
    | vplus(X41,X42) = vplus(X43,X40) ),
    theory(equality) ).

fof('ass(cond(61, 0), 0)',axiom,
    ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(c27,plain,
    ! [X15,X16] : vplus(X16,X15) = vplus(X15,X16),
    inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).

cnf(c28,plain,
    vplus(X49,X48) = vplus(X48,X49),
    inference(split_conjunct,[status(thm)],[c27]) ).

cnf(c75,plain,
    ( X249 != X248
    | vplus(X249,vplus(X247,X246)) = vplus(X248,vplus(X246,X247)) ),
    inference(resolution,[status(thm)],[c28,c0]) ).

cnf(c1094,plain,
    vplus(X1253,vplus(X1254,X1255)) = vplus(X1253,vplus(X1255,X1254)),
    inference(resolution,[status(thm)],[c75,reflexivity]) ).

cnf(c27361,plain,
    $false,
    inference(resolution,[status(thm)],[c1094,c51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 15:48:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 8.00/8.20  % Version:  1.5
% 8.00/8.20  % SZS status Theorem
% 8.00/8.20  % SZS output start CNFRefutation
% See solution above
% 8.00/8.20  
% 8.00/8.20  % Initial clauses    : 33
% 8.00/8.20  % Processed clauses  : 401
% 8.00/8.20  % Factors computed   : 3
% 8.00/8.20  % Resolvents computed: 27641
% 8.00/8.20  % Tautologies deleted: 2
% 8.00/8.20  % Forward subsumed   : 563
% 8.00/8.20  % Backward subsumed  : 0
% 8.00/8.20  % -------- CPU Time ---------
% 8.00/8.20  % User time          : 7.763 s
% 8.00/8.20  % System time        : 0.080 s
% 8.00/8.20  % Total time         : 7.843 s
%------------------------------------------------------------------------------