%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LCL181+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 17:30:43 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   59 (  26   ~;  17   |;   7   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    3 (   2 usr;   3 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel4,conjecture,
    ( ( ~ p
     => q )
  <=> ( ~ q
     => p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel4) ).

fof(c0,negated_conjecture,
    ~ ( ( ~ p
       => q )
    <=> ( ~ q
       => p ) ),
    inference(assume_negation,[status(cth)],[pel4]) ).

fof(c1,negated_conjecture,
    ~ ( ( ~ p
       => q )
    <=> ( ~ q
       => p ) ),
    inference(fof_simplification,[status(thm)],[c0]) ).

fof(c2,negated_conjecture,
    ( ( ( ~ p
        & ~ q )
      | ( ~ q
        & ~ p ) )
    & ( p
      | q
      | q
      | p ) ),
    inference(fof_nnf,[status(thm)],[c1]) ).

fof(c3,negated_conjecture,
    ( ( ~ p
      | ~ q )
    & ( ~ p
      | ~ p )
    & ( ~ q
      | ~ q )
    & ( ~ q
      | ~ p )
    & ( p
      | q
      | q
      | p ) ),
    inference(distribute,[status(thm)],[c2]) ).

cnf(c6,negated_conjecture,
    ( ~ q
    | ~ q ),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c10,plain,
    ~ q,
    inference(factor,[status(thm)],[c6]) ).

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

cnf(c9,plain,
    ~ p,
    inference(factor,[status(thm)],[c5]) ).

cnf(c8,negated_conjecture,
    ( p
    | q
    | q
    | p ),
    inference(split_conjunct,[status(thm)],[c3]) ).

cnf(c11,plain,
    ( p
    | q ),
    inference(factor,[status(thm)],[c8]) ).

cnf(c17,plain,
    q,
    inference(resolution,[status(thm)],[c11,c9]) ).

cnf(c19,plain,
    $false,
    inference(resolution,[status(thm)],[c17,c10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL181+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed May  8 15:12:38 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.50  % Version:  1.5
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  % SZS output start CNFRefutation
% See solution above
% 0.20/0.50  
% 0.20/0.50  % Initial clauses    : 5
% 0.20/0.50  % Processed clauses  : 8
% 0.20/0.50  % Factors computed   : 4
% 0.20/0.50  % Resolvents computed: 7
% 0.20/0.50  % Tautologies deleted: 0
% 0.20/0.50  % Forward subsumed   : 1
% 0.20/0.50  % Backward subsumed  : 5
% 0.20/0.50  % -------- CPU Time ---------
% 0.20/0.50  % User time          : 0.148 s
% 0.20/0.50  % System time        : 0.013 s
% 0.20/0.50  % Total time         : 0.161 s
%------------------------------------------------------------------------------