TSTP Solution File: NUM838+2 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM838+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 17:36:48 EDT 2024

% Result   : Theorem 0.49s 0.71s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('holds(conseq(195), 305, 0)',conjecture,
    greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).

fof(c101,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(assume_negation,[status(cth)],['holds(conseq(195), 305, 0)']) ).

fof(c102,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(fof_simplification,[status(thm)],[c101]) ).

cnf(c103,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(split_conjunct,[status(thm)],[c102]) ).

fof('holds(antec(195), 304, 0)',axiom,
    greater(vd301,vd302),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).

cnf(c100,plain,
    greater(vd301,vd302),
    inference(split_conjunct,[status(thm)],['holds(antec(195), 304, 0)']) ).

fof('ass(cond(proof(196), 0), 4)',axiom,
    ! [Vd310,Vd311,Vd312] :
      ( greater(Vd311,Vd312)
     => greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 4)') ).

fof(c84,plain,
    ! [Vd310,Vd311,Vd312] :
      ( ~ greater(Vd311,Vd312)
      | greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
    inference(fof_nnf,[status(thm)],['ass(cond(proof(196), 0), 4)']) ).

fof(c85,plain,
    ! [X69,X70,X71] :
      ( ~ greater(X70,X71)
      | greater(vplus(X70,X69),vplus(X71,X69)) ),
    inference(variable_rename,[status(thm)],[c84]) ).

cnf(c86,plain,
    ( ~ greater(X304,X305)
    | greater(vplus(X304,X303),vplus(X305,X303)) ),
    inference(split_conjunct,[status(thm)],[c85]) ).

cnf(c437,plain,
    greater(vplus(vd301,X346),vplus(vd302,X346)),
    inference(resolution,[status(thm)],[c86,c100]) ).

cnf(c491,plain,
    $false,
    inference(resolution,[status(thm)],[c437,c103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM838+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed May  8 16:19:22 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.49/0.71  % Version:  1.5
% 0.49/0.71  % SZS status Theorem
% 0.49/0.71  % SZS output start CNFRefutation
% See solution above
% 0.49/0.71  
% 0.49/0.71  % Initial clauses    : 42
% 0.49/0.71  % Processed clauses  : 70
% 0.49/0.71  % Factors computed   : 7
% 0.49/0.71  % Resolvents computed: 383
% 0.49/0.71  % Tautologies deleted: 9
% 0.49/0.71  % Forward subsumed   : 69
% 0.49/0.71  % Backward subsumed  : 0
% 0.49/0.71  % -------- CPU Time ---------
% 0.49/0.71  % User time          : 0.344 s
% 0.49/0.71  % System time        : 0.020 s
% 0.49/0.71  % Total time         : 0.364 s
%------------------------------------------------------------------------------