%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n015.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 02:00:18 EDT 2023

% Result   : Theorem 0.22s 0.57s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   3 unt;   2 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :    9 (   3   ~;   0   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   10 (   0 sgn;   4   !;   4   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    a: ( $i * $i ) > $o ).

tff(decl_23,type,
    esk1_1: $i > $i ).

fof(prove_this,conjecture,
    ( ! [X1] :
      ? [X2] :
        ( a(X1,X2)
        & a(X2,X2) )
   => ? [X3] : a(X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1] :
        ? [X2] :
          ( a(X1,X2)
          & a(X2,X2) )
     => ? [X3] : a(X3,X3) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X4,X6] :
      ( a(X4,esk1_1(X4))
      & a(esk1_1(X4),esk1_1(X4))
      & ~ a(X6,X6) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    a(esk1_1(X1),esk1_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ~ a(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_3,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 17:38:53 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.56  start to proof: theBenchmark
% 0.22/0.57  % Version  : CSE_E---1.5
% 0.22/0.57  % Problem  : theBenchmark.p
% 0.22/0.57  % Proof found
% 0.22/0.57  % SZS status Theorem for theBenchmark.p
% 0.22/0.57  % SZS output start Proof
% See solution above
% 0.22/0.57  % Total time : 0.003000 s
% 0.22/0.57  % SZS output end Proof
% 0.22/0.57  % Total time : 0.005000 s
%------------------------------------------------------------------------------