%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN361+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 : n032.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 01:51:24 EDT 2023

% Result   : Theorem 0.15s 0.50s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   29 (  12   ~;   4   |;   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  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   26 (   2 sgn;  13   !;   6   ?;   0   :)

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

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

tff(decl_24,type,
    big_q: ( $i * $i ) > $o ).

tff(decl_25,type,
    esk1_0: $i ).

tff(decl_26,type,
    esk2_1: $i > $i ).

fof(x2112,conjecture,
    ( ( ? [X1] :
        ! [X2] : big_p(X2,X1)
      & ! [X2] :
          ( big_s(X2)
         => ? [X3] : big_q(X3,X2) )
      & ! [X2,X3] :
          ( big_p(X2,X3)
         => ~ big_q(X2,X3) ) )
   => ? [X4] : ~ big_s(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2112) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ? [X1] :
          ! [X2] : big_p(X2,X1)
        & ! [X2] :
            ( big_s(X2)
           => ? [X3] : big_q(X3,X2) )
        & ! [X2,X3] :
            ( big_p(X2,X3)
           => ~ big_q(X2,X3) ) )
     => ? [X4] : ~ big_s(X4) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[x2112])]) ).

fof(c_0_2,negated_conjecture,
    ! [X6,X7,X9,X10,X11] :
      ( big_p(X6,esk1_0)
      & ( ~ big_s(X7)
        | big_q(esk2_1(X7),X7) )
      & ( ~ big_p(X9,X10)
        | ~ big_q(X9,X10) )
      & big_s(X11) ),
    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(esk2_1(X1),X1)
    | ~ big_s(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

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

cnf(c_0_6,negated_conjecture,
    big_q(esk2_1(X1),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).

cnf(c_0_7,negated_conjecture,
    ~ big_p(esk2_1(X1),X1),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    big_p(X1,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN361+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat Aug 26 20:44:59 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.49  start to proof: theBenchmark
% 0.15/0.50  % Version  : CSE_E---1.5
% 0.15/0.50  % Problem  : theBenchmark.p
% 0.15/0.50  % Proof found
% 0.15/0.50  % SZS status Theorem for theBenchmark.p
% 0.15/0.50  % SZS output start Proof
% See solution above
% 0.15/0.50  % Total time : 0.003000 s
% 0.15/0.50  % SZS output end Proof
% 0.15/0.50  % Total time : 0.005000 s
%------------------------------------------------------------------------------