%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN040+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n008.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 : Fri Sep  1 01:49:13 EDT 2023

% Result   : Theorem 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   3 unt;   2 typ;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   40 (  17   ~;  13   |;   4   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p: $o ).

tff(decl_23,type,
    q: $o ).

fof(pel1,conjecture,
    ( ( p
     => q )
  <=> ( ~ q
     => ~ p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel1) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( p
       => q )
    <=> ( ~ q
       => ~ p ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel1])]) ).

fof(c_0_2,negated_conjecture,
    ( ( ~ q
      | p )
    & ( p
      | p )
    & ( ~ q
      | ~ q )
    & ( p
      | ~ q )
    & ( ~ p
      | q
      | q
      | ~ p ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).

cnf(c_0_3,negated_conjecture,
    ( q
    | q
    | ~ p
    | ~ p ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( p
    | p ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ q
    | ~ q ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( q
    | ~ p ),
    inference(cn,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    p,
    inference(cn,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ q,
    inference(cn,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN040+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.36  % Computer : n008.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Sat Aug 26 17:55:47 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.19/0.58  start to proof: theBenchmark
% 0.19/0.60  % Version  : CSE_E---1.5
% 0.19/0.60  % Problem  : theBenchmark.p
% 0.19/0.60  % Proof found
% 0.19/0.60  % SZS status Theorem for theBenchmark.p
% 0.19/0.60  % SZS output start Proof
% See solution above
% 0.19/0.60  % Total time : 0.003000 s
% 0.19/0.60  % SZS output end Proof
% 0.19/0.60  % Total time : 0.005000 s
%------------------------------------------------------------------------------