%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 : Thu May  9 17:40:20 EDT 2024

% Result   : Theorem 0.37s 0.54s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t45_zfmisc_1,conjecture,
    ! [A,B] :
      ( subset(set_union2(singleton(A),B),B)
     => in(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_zfmisc_1) ).

fof(c8,negated_conjecture,
    ~ ! [A,B] :
        ( subset(set_union2(singleton(A),B),B)
       => in(A,B) ),
    inference(assume_negation,[status(cth)],[t45_zfmisc_1]) ).

fof(c9,negated_conjecture,
    ? [A,B] :
      ( subset(set_union2(singleton(A),B),B)
      & ~ in(A,B) ),
    inference(fof_nnf,[status(thm)],[c8]) ).

fof(c10,negated_conjecture,
    ? [X4,X5] :
      ( subset(set_union2(singleton(X4),X5),X5)
      & ~ in(X4,X5) ),
    inference(variable_rename,[status(thm)],[c9]) ).

fof(c11,negated_conjecture,
    ( subset(set_union2(singleton(skolem0001),skolem0002),skolem0002)
    & ~ in(skolem0001,skolem0002) ),
    inference(skolemize,[status(esa)],[c10]) ).

cnf(c13,negated_conjecture,
    ~ in(skolem0001,skolem0002),
    inference(split_conjunct,[status(thm)],[c11]) ).

fof(l21_zfmisc_1,axiom,
    ! [A,B] :
      ( subset(set_union2(singleton(A),B),B)
     => in(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_zfmisc_1) ).

fof(c5,plain,
    ! [A,B] :
      ( ~ subset(set_union2(singleton(A),B),B)
      | in(A,B) ),
    inference(fof_nnf,[status(thm)],[l21_zfmisc_1]) ).

fof(c6,plain,
    ! [X2,X3] :
      ( ~ subset(set_union2(singleton(X2),X3),X3)
      | in(X2,X3) ),
    inference(variable_rename,[status(thm)],[c5]) ).

cnf(c7,plain,
    ( ~ subset(set_union2(singleton(X76),X75),X75)
    | in(X76,X75) ),
    inference(split_conjunct,[status(thm)],[c6]) ).

cnf(c12,negated_conjecture,
    subset(set_union2(singleton(skolem0001),skolem0002),skolem0002),
    inference(split_conjunct,[status(thm)],[c11]) ).

cnf(c93,plain,
    in(skolem0001,skolem0002),
    inference(resolution,[status(thm)],[c12,c7]) ).

cnf(c95,plain,
    $false,
    inference(resolution,[status(thm)],[c93,c13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 18:46:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.37/0.54  % Version:  1.5
% 0.37/0.54  % SZS status Theorem
% 0.37/0.54  % SZS output start CNFRefutation
% See solution above
% 0.37/0.54  
% 0.37/0.54  % Initial clauses    : 19
% 0.37/0.54  % Processed clauses  : 28
% 0.37/0.54  % Factors computed   : 3
% 0.37/0.54  % Resolvents computed: 50
% 0.37/0.54  % Tautologies deleted: 3
% 0.37/0.54  % Forward subsumed   : 14
% 0.37/0.54  % Backward subsumed  : 0
% 0.37/0.54  % -------- CPU Time ---------
% 0.37/0.54  % User time          : 0.183 s
% 0.37/0.54  % System time        : 0.007 s
% 0.37/0.54  % Total time         : 0.190 s
%------------------------------------------------------------------------------