%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET096^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YkMx1GMesq true

% Computer : n027.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 Aug 31 16:12:41 EDT 2023

% Result   : Theorem 0.70s 0.79s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (  17 unt;   7 typ;   0 def)
%            Number of atoms       :   55 (  25 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   58 (  10   ~;   9   |;   0   &;  27   @)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (  15   ^;  18   !;   0   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__3_type,type,
    sk__3: $i > $o ).

thf(emptyset_type,type,
    emptyset: $i > $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(subset_type,type,
    subset: ( $i > $o ) > ( $i > $o ) > $o ).

thf(singleton_type,type,
    singleton: $i > $i > $o ).

thf(subset,axiom,
    ( subset
    = ( ^ [X: $i > $o,Y: $i > $o] :
        ! [U: $i] :
          ( ( X @ U )
         => ( Y @ U ) ) ) ) ).

thf('0',plain,
    ( subset
    = ( ^ [X: $i > $o,Y: $i > $o] :
        ! [U: $i] :
          ( ( X @ U )
         => ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[subset]) ).

thf('1',plain,
    ( subset
    = ( ^ [V_1: $i > $o,V_2: $i > $o] :
        ! [X4: $i] :
          ( ( V_1 @ X4 )
         => ( V_2 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(singleton,axiom,
    ( singleton
    = ( ^ [X: $i,U: $i] : ( U = X ) ) ) ).

thf('2',plain,
    ( singleton
    = ( ^ [X: $i,U: $i] : ( U = X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[singleton]) ).

thf('3',plain,
    ( singleton
    = ( ^ [V_1: $i,V_2: $i] : ( V_2 = V_1 ) ) ),
    define([status(thm)]) ).

thf(emptyset,axiom,
    ( emptyset
    = ( ^ [X: $i] : $false ) ) ).

thf('4',plain,
    ( emptyset
    = ( ^ [X: $i] : $false ) ),
    inference(simplify_rw_rule,[status(thm)],[emptyset]) ).

thf('5',plain,
    ( emptyset
    = ( ^ [V_1: $i] : $false ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [X: $i > $o,Y: $i] :
      ( ( subset @ X @ ( singleton @ Y ) )
     => ( ( X = emptyset )
        | ( X
          = ( singleton @ Y ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $o,X6: $i] :
      ( ! [X8: $i] :
          ( ( X4 @ X8 )
         => ( X8 = X6 ) )
     => ( ! [V_1: $i] :
            ( ( X4 @ V_1 )
          <=> $false )
        | ! [V_2: $i] :
            ( ( X4 @ V_2 )
          <=> ( V_2 = X6 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $o,X6: $i] :
        ( ! [X8: $i] :
            ( ( X4 @ X8 )
           => ( X8 = X6 ) )
       => ( ! [V_1: $i] :
              ( ( X4 @ V_1 )
            <=> $false )
          | ! [V_2: $i] :
              ( ( X4 @ V_2 )
            <=> ( V_2 = X6 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( X0 = sk__5 )
      | ~ ( sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4_001,plain,
    sk__3 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    sk__4 = sk__5,
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl17,plain,
    sk__3 @ sk__5,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__6 = sk__5 )
    | ( sk__3 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i] :
      ( ( X0 = sk__5 )
      | ~ ( sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ( ( sk__6 != sk__5 )
    | ~ ( sk__3 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( sk__6 != X0 )
      | ~ ( sk__3 @ X0 )
      | ~ ( sk__3 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl16,plain,
    ~ ( sk__3 @ sk__6 ),
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl18,plain,
    sk__6 = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).

thf(zip_derived_cl16_003,plain,
    ~ ( sk__3 @ sk__6 ),
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl18,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET096^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YkMx1GMesq true
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 15:10:50 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.23/0.68  % Total configuration time : 828
% 0.23/0.68  % Estimated wc time : 1656
% 0.23/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.70/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.70/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.70/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.70/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.70/0.79  % Solved by lams/40_c.s.sh.
% 0.70/0.79  % done 8 iterations in 0.010s
% 0.70/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.70/0.79  % SZS output start Refutation
% See solution above
% 0.70/0.79  
% 0.70/0.79  
% 0.70/0.79  % Terminating...
% 1.62/0.88  % Runner terminated.
% 1.62/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------