%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN319+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 : 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 01:51:05 EDT 2023

% Result   : Theorem 0.14s 0.48s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   2 unt;   7 typ;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :   66 (  19   ~;  21   |;  12   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (   7 sgn;   8   !;   4   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    esk2_0: $i ).

tff(decl_27,type,
    esk3_0: $i ).

tff(decl_28,type,
    esk4_0: $i ).

fof(church_46_2_5,conjecture,
    ? [X1,X2] :
    ! [X3,X4] :
      ( ( ( big_f(X2)
         => big_g(X3) )
       => ( big_g(X1)
          & ~ big_f(X3) ) )
     => ( ( ( big_f(X1)
            | big_g(X1) )
         => big_h(X1) )
       => ( big_h(X4)
          & ( big_h(X2)
           => ( ( big_f(X4)
                | big_g(X4) )
             => big_h(X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_2_5) ).

fof(c_0_1,negated_conjecture,
    ~ ? [X1,X2] :
      ! [X3,X4] :
        ( ( ( big_f(X2)
           => big_g(X3) )
         => ( big_g(X1)
            & ~ big_f(X3) ) )
       => ( ( ( big_f(X1)
              | big_g(X1) )
           => big_h(X1) )
         => ( big_h(X4)
            & ( big_h(X2)
             => ( ( big_f(X4)
                  | big_g(X4) )
               => big_h(X4) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_2_5])]) ).

fof(c_0_2,negated_conjecture,
    ! [X5,X7,X9,X11] :
      ( ( big_g(X7)
        | big_f(X5) )
      & ( ~ big_f(esk2_0)
        | big_f(X5) )
      & ( big_g(X7)
        | ~ big_g(esk1_0) )
      & ( ~ big_f(esk2_0)
        | ~ big_g(esk1_0) )
      & ( ~ big_f(X9)
        | big_h(X9) )
      & ( ~ big_g(X9)
        | big_h(X9) )
      & ( big_h(X11)
        | ~ big_h(esk3_0) )
      & ( big_f(esk4_0)
        | big_g(esk4_0)
        | ~ big_h(esk3_0) )
      & ( ~ big_h(esk4_0)
        | ~ big_h(esk3_0) ) ),
    inference(distribute,[status(thm)],[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,
    ( big_h(X1)
    | ~ big_g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( big_g(X1)
    | big_f(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_6,negated_conjecture,
    ( ~ big_f(esk2_0)
    | ~ big_g(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( big_h(X1)
    | big_f(X2) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( big_h(X1)
    | big_g(X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ big_h(esk4_0)
    | ~ big_h(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    big_h(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sat Aug 26 19:12:44 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.14/0.47  start to proof: theBenchmark
% 0.14/0.48  % Version  : CSE_E---1.5
% 0.14/0.48  % Problem  : theBenchmark.p
% 0.14/0.48  % Proof found
% 0.14/0.48  % SZS status Theorem for theBenchmark.p
% 0.14/0.48  % SZS output start Proof
% See solution above
% 0.14/0.48  % Total time : 0.003000 s
% 0.14/0.48  % SZS output end Proof
% 0.14/0.48  % Total time : 0.005000 s
%------------------------------------------------------------------------------