%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN381+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 : n031.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 01:51:30 EDT 2023

% Result   : Theorem 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   29 (   7   ~;   9   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   26 (   2 sgn;  15   !;   4   ?;   0   :)

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

tff(decl_23,type,
    big_p: $i > $o ).

tff(decl_24,type,
    esk1_1: $i > $i ).

tff(decl_25,type,
    esk2_0: $i ).

fof(x2133,conjecture,
    ( ( ! [X1] :
          ( ? [X2] : big_q(X1,X2)
         => big_p(X1) )
      & ! [X3] :
        ? [X4] : big_q(X4,X3)
      & ! [X5,X6] :
          ( big_q(X5,X6)
         => ( big_q(X6,X5)
            | big_q(X6,X6) ) ) )
   => ! [X6] : big_p(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2133) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ! [X1] :
            ( ? [X2] : big_q(X1,X2)
           => big_p(X1) )
        & ! [X3] :
          ? [X4] : big_q(X4,X3)
        & ! [X5,X6] :
            ( big_q(X5,X6)
           => ( big_q(X6,X5)
              | big_q(X6,X6) ) ) )
     => ! [X6] : big_p(X6) ),
    inference(assume_negation,[status(cth)],[x2133]) ).

fof(c_0_2,negated_conjecture,
    ! [X7,X8,X9,X11,X12] :
      ( ( ~ big_q(X7,X8)
        | big_p(X7) )
      & big_q(esk1_1(X9),X9)
      & ( ~ big_q(X11,X12)
        | big_q(X12,X11)
        | big_q(X12,X12) )
      & ~ big_p(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_q(X2,X1)
    | big_q(X2,X2)
    | ~ big_q(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    big_q(esk1_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_6,negated_conjecture,
    ( big_q(X1,esk1_1(X1))
    | big_q(X1,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

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

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

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
% 0.11/0.13  % Problem    : SYN381+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 19:43:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.004000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.006000 s
%------------------------------------------------------------------------------