%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN336+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 : n001.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 01:51:12 EDT 2023

% Result   : Theorem 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   15 (   3   ~;   0   |;   4   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn;   6   !;   4   ?;   0   :)

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

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

tff(decl_24,type,
    esk2_2: ( $i * $i ) > $i ).

fof(church_46_15_1,conjecture,
    ! [X1] :
    ? [X2,X3] :
    ! [X4] :
      ( big_f(X1,X4)
     => ( big_f(X2,X4)
       => ( big_f(X3,X4)
         => ( big_f(X2,X1)
           => big_f(X4,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_1) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
      ? [X2,X3] :
      ! [X4] :
        ( big_f(X1,X4)
       => ( big_f(X2,X4)
         => ( big_f(X3,X4)
           => ( big_f(X2,X1)
             => big_f(X4,X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[church_46_15_1]) ).

fof(c_0_2,negated_conjecture,
    ! [X6,X7] :
      ( big_f(esk1_0,esk2_2(X6,X7))
      & big_f(X6,esk2_2(X6,X7))
      & big_f(X7,esk2_2(X6,X7))
      & big_f(X6,esk1_0)
      & ~ big_f(esk2_2(X6,X7),X7) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3,negated_conjecture,
    ~ big_f(esk2_2(X1,X2),X2),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    big_f(X1,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_3,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 20:05:46 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.55  start to proof: theBenchmark
% 0.19/0.56  % Version  : CSE_E---1.5
% 0.19/0.56  % Problem  : theBenchmark.p
% 0.19/0.56  % Proof found
% 0.19/0.56  % SZS status Theorem for theBenchmark.p
% 0.19/0.56  % SZS output start Proof
% See solution above
% 0.19/0.56  % Total time : 0.004000 s
% 0.19/0.56  % SZS output end Proof
% 0.19/0.56  % Total time : 0.006000 s
%------------------------------------------------------------------------------