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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN403+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 17:48:09 EDT 2024

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   40 (  13   ~;   8   |;  11   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kalish234,conjecture,
    ! [X] :
      ( ( ( f(X)
         => g(X) )
        & ( g(X)
         => h(X) ) )
     => ( f(X)
       => h(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish234) ).

fof(c0,negated_conjecture,
    ~ ! [X] :
        ( ( ( f(X)
           => g(X) )
          & ( g(X)
           => h(X) ) )
       => ( f(X)
         => h(X) ) ),
    inference(assume_negation,[status(cth)],[kalish234]) ).

fof(c1,negated_conjecture,
    ? [X] :
      ( ( ~ f(X)
        | g(X) )
      & ( ~ g(X)
        | h(X) )
      & f(X)
      & ~ h(X) ),
    inference(fof_nnf,[status(thm)],[c0]) ).

fof(c2,negated_conjecture,
    ? [X2] :
      ( ( ~ f(X2)
        | g(X2) )
      & ( ~ g(X2)
        | h(X2) )
      & f(X2)
      & ~ h(X2) ),
    inference(variable_rename,[status(thm)],[c1]) ).

fof(c3,negated_conjecture,
    ( ( ~ f(skolem0001)
      | g(skolem0001) )
    & ( ~ g(skolem0001)
      | h(skolem0001) )
    & f(skolem0001)
    & ~ h(skolem0001) ),
    inference(skolemize,[status(esa)],[c2]) ).

cnf(c7,negated_conjecture,
    ~ h(skolem0001),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c6,negated_conjecture,
    f(skolem0001),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c4,negated_conjecture,
    ( ~ f(skolem0001)
    | g(skolem0001) ),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c8,plain,
    g(skolem0001),
    inference(resolution,[status(thm)],[c4,c6]) ).

cnf(c5,negated_conjecture,
    ( ~ g(skolem0001)
    | h(skolem0001) ),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c9,plain,
    h(skolem0001),
    inference(resolution,[status(thm)],[c5,c8]) ).

cnf(c10,plain,
    $false,
    inference(resolution,[status(thm)],[c9,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN403+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 20:26:22 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.53  % Version:  1.5
% 0.21/0.53  % SZS status Theorem
% 0.21/0.53  % SZS output start CNFRefutation
% See solution above
% 0.21/0.53  
% 0.21/0.53  % Initial clauses    : 4
% 0.21/0.53  % Processed clauses  : 6
% 0.21/0.53  % Factors computed   : 0
% 0.21/0.53  % Resolvents computed: 3
% 0.21/0.53  % Tautologies deleted: 0
% 0.21/0.53  % Forward subsumed   : 0
% 0.21/0.53  % Backward subsumed  : 2
% 0.21/0.53  % -------- CPU Time ---------
% 0.21/0.53  % User time          : 0.148 s
% 0.21/0.53  % System time        : 0.020 s
% 0.21/0.53  % Total time         : 0.168 s
%------------------------------------------------------------------------------