%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 01:51:26 EDT 2023

% Result   : Theorem 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   30 (   9   ~;   6   |;   7   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   22 (   3 sgn;  14   !;   2   ?;   0   :)

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

tff(decl_23,type,
    esk1_0: $i ).

tff(decl_24,type,
    esk2_0: $i ).

fof(x2117,conjecture,
    ( ( ! [X1,X2] :
          ( big_r(X1,X1)
        <=> big_r(X1,X2) )
      & ! [X3,X4] :
          ( big_r(X3,X3)
        <=> big_r(X4,X3) ) )
   => ( ? [X5] : big_r(X5,X5)
     => ! [X6] : big_r(X6,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2117) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ! [X1,X2] :
            ( big_r(X1,X1)
          <=> big_r(X1,X2) )
        & ! [X3,X4] :
            ( big_r(X3,X3)
          <=> big_r(X4,X3) ) )
     => ( ? [X5] : big_r(X5,X5)
       => ! [X6] : big_r(X6,X6) ) ),
    inference(assume_negation,[status(cth)],[x2117]) ).

fof(c_0_2,negated_conjecture,
    ! [X7,X8,X9,X10] :
      ( ( ~ big_r(X7,X7)
        | big_r(X7,X8) )
      & ( ~ big_r(X7,X8)
        | big_r(X7,X7) )
      & ( ~ big_r(X9,X9)
        | big_r(X10,X9) )
      & ( ~ big_r(X10,X9)
        | big_r(X9,X9) )
      & big_r(esk1_0,esk1_0)
      & ~ big_r(esk2_0,esk2_0) ),
    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,
    ( big_r(X2,X1)
    | ~ big_r(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    big_r(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( big_r(X1,X1)
    | ~ big_r(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    big_r(X1,esk1_0),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ big_r(esk2_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    big_r(X1,X1),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n009.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   : Sat Aug 26 21:43:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.57  % Version  : CSE_E---1.5
% 0.19/0.57  % Problem  : theBenchmark.p
% 0.19/0.57  % Proof found
% 0.19/0.57  % SZS status Theorem for theBenchmark.p
% 0.19/0.57  % SZS output start Proof
% See solution above
% 0.19/0.57  % Total time : 0.004000 s
% 0.19/0.57  % SZS output end Proof
% 0.19/0.57  % Total time : 0.007000 s
%------------------------------------------------------------------------------