%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n018.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 01:53:56 EDT 2023

% Result   : Theorem 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (   3 unt;   8 typ;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :   59 (  27   ~;  23   |;   9   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   11 (   2 sgn;   6   !;   2   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    d: $i ).

tff(decl_27,type,
    a: $i ).

tff(decl_28,type,
    b: $i ).

tff(decl_29,type,
    esk1_0: $i ).

fof(thm119,conjecture,
    ~ ( ! [X1] :
          ( ( p(X1)
            | r(X1) )
          & q(X1) )
      & ! [X2] :
        ? [X3] :
          ( p(X2)
          | ~ q(X2)
          | ~ q(X3)
          | ~ q(c)
          | ~ q(d) )
      & ( ~ p(a)
        | ~ p(b) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm119) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ! [X1] :
            ( ( p(X1)
              | r(X1) )
            & q(X1) )
        & ! [X2] :
          ? [X3] :
            ( p(X2)
            | ~ q(X2)
            | ~ q(X3)
            | ~ q(c)
            | ~ q(d) )
        & ( ~ p(a)
          | ~ p(b) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm119])]) ).

fof(c_0_2,negated_conjecture,
    ! [X4,X5] :
      ( ( p(X4)
        | r(X4) )
      & q(X4)
      & ( p(X5)
        | ~ q(X5)
        | ~ q(esk1_0)
        | ~ q(c)
        | ~ q(d) )
      & ( ~ p(a)
        | ~ p(b) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( p(X1)
    | ~ q(X1)
    | ~ q(esk1_0)
    | ~ q(c)
    | ~ q(d) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

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

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

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN722+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 17:40:15 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.59  % Total time : 0.003000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.005000 s
%------------------------------------------------------------------------------