%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET072+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VqxrXiAS89 true

% 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 : Thu Aug 31 16:12:25 EDT 2023

% Result   : Theorem 0.16s 0.61s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   38 (  15 unt;   7 typ;   0 def)
%            Number of atoms       :   64 (  42 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  139 (  21   ~;  25   |;   5   &;  85   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   32 (   0   ^;  32   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(universal_class_type,type,
    universal_class: $i ).

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(right_cancellation,conjecture,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( member @ X @ universal_class )
        & ( member @ Y @ universal_class )
        & ( ( unordered_pair @ X @ Z )
          = ( unordered_pair @ Y @ Z ) ) )
     => ( X = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i] :
        ( ( ( member @ X @ universal_class )
          & ( member @ Y @ universal_class )
          & ( ( unordered_pair @ X @ Z )
            = ( unordered_pair @ Y @ Z ) ) )
       => ( X = Y ) ),
    inference('cnf.neg',[status(esa)],[right_cancellation]) ).

thf(zip_derived_cl8,plain,
    member @ sk_ @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ( unordered_pair @ sk_ @ sk__2 )
    = ( unordered_pair @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    member @ sk__1 @ universal_class,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(unordered_pair_defn,axiom,
    ! [U: $i,X: $i,Y: $i] :
      ( ( member @ U @ ( unordered_pair @ X @ Y ) )
    <=> ( ( member @ U @ universal_class )
        & ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
      | ( X0 != X1 )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl7_001,plain,
    ( ( unordered_pair @ sk_ @ sk__2 )
    = ( unordered_pair @ sk__1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( X1 = X2 )
      | ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ ( unordered_pair @ sk__1 @ sk__2 ) )
      | ( X0 = sk_ )
      | ( X0 = sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ universal_class )
      | ( X0 != sk__1 )
      | ( X0 = sk__2 )
      | ( X0 = sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).

thf(zip_derived_cl34,plain,
    ( ( sk__1 = sk_ )
    | ( sk__1 = sk__2 )
    | ( sk__1 != sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl28]) ).

thf(zip_derived_cl35,plain,
    ( ( sk__1 = sk__2 )
    | ( sk__1 = sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl10,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    sk__1 = sk__2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl10]) ).

thf(singleton_set_defn,axiom,
    ! [X: $i] :
      ( ( singleton @ X )
      = ( unordered_pair @ X @ X ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(zip_derived_cl37,plain,
    ( ( unordered_pair @ sk_ @ sk__2 )
    = ( singleton @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl36,zip_derived_cl5]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
      | ( X0 != X1 )
      | ~ ( member @ X0 @ universal_class ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( member @ X0 @ ( singleton @ sk__2 ) )
      | ~ ( member @ X0 @ universal_class )
      | ( X0 != sk_ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl3]) ).

thf(zip_derived_cl5_003,plain,
    ! [X0: $i] :
      ( ( singleton @ X0 )
      = ( unordered_pair @ X0 @ X0 ) ),
    inference(cnf,[status(esa)],[singleton_set_defn]) ).

thf(zip_derived_cl1_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( X1 = X2 )
      | ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[unordered_pair_defn]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ ( singleton @ X0 ) )
      | ( X1 = X0 )
      | ( X1 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( X0 != sk_ )
      | ~ ( member @ X0 @ universal_class )
      | ( X0 = sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl13]) ).

thf(zip_derived_cl58,plain,
    ( ( sk_ = sk__2 )
    | ( sk_ != sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl50]) ).

thf(zip_derived_cl60,plain,
    sk_ = sk__2,
    inference(simplify,[status(thm)],[zip_derived_cl58]) ).

thf(zip_derived_cl10_005,plain,
    sk_ != sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_006,plain,
    sk__1 = sk__2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl10]) ).

thf(zip_derived_cl39,plain,
    sk_ != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl36]) ).

thf(zip_derived_cl61,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl60,zip_derived_cl39]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SET072+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VqxrXiAS89 true
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Sat Aug 26 10:04:28 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in FO mode
% 0.16/0.51  % Total configuration time : 435
% 0.16/0.51  % Estimated wc time : 1092
% 0.16/0.51  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.56  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.57  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.58  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.58  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.58  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.61  % Solved by fo/fo4.sh.
% 0.16/0.61  % done 30 iterations in 0.014s
% 0.16/0.61  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.61  % SZS output start Refutation
% See solution above
% 0.16/0.61  
% 0.16/0.61  
% 0.16/0.61  % Terminating...
% 0.16/0.72  % Runner terminated.
% 0.16/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------