%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM385+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.urN9KL6pzo true

% 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 : Thu Aug 31 12:41:13 EDT 2023

% Result   : Theorem 9.78s 1.98s
% Output   : Refutation 9.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   41 (  18 unt;   6 typ;   0 def)
%            Number of atoms       :   62 (  25 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  185 (  18   ~;  20   |;   0   &; 140   @)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (   0   ^;  42   !;   0   ?;  42   :)

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

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(t12_ordinal1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( succ @ A )
        = ( succ @ B ) )
     => ( A = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( succ @ A )
          = ( succ @ B ) )
       => ( A = B ) ),
    inference('cnf.neg',[status(esa)],[t12_ordinal1]) ).

thf(zip_derived_cl53,plain,
    ( ( succ @ sk__13 )
    = ( succ @ sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d1_ordinal1,axiom,
    ! [A: $i] :
      ( ( succ @ A )
      = ( set_union2 @ A @ ( singleton @ A ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( succ @ X0 )
      = ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_ordinal1]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i] :
      ( ( succ @ X0 )
      = ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_ordinal1]) ).

thf(zip_derived_cl73,plain,
    ( ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) )
    = ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl7,zip_derived_cl7]) ).

thf(d2_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( set_union2 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( in @ D @ A )
            | ( in @ D @ B ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ( in @ X0 @ X3 )
      | ( X1
       != ( set_union2 @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl790,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ( in @ X1 @ X2 )
      | ~ ( in @ X1 @ ( set_union2 @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl808,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ) )
      | ( in @ X0 @ sk__14 )
      | ( in @ X0 @ ( singleton @ sk__14 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl790]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl4763,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__14 )
      | ~ ( in @ X0 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ) )
      | ( X0 = sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl808,zip_derived_cl61]) ).

thf(zip_derived_cl73_002,plain,
    ( ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) )
    = ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl7,zip_derived_cl7]) ).

thf(t10_ordinal1,axiom,
    ! [A: $i] : ( in @ A @ ( succ @ A ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[t10_ordinal1]) ).

thf(zip_derived_cl7_003,plain,
    ! [X0: $i] :
      ( ( succ @ X0 )
      = ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_ordinal1]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i] : ( in @ X0 @ ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl7]) ).

thf(zip_derived_cl123,plain,
    in @ sk__14 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl76]) ).

thf(zip_derived_cl790_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X1 @ X0 )
      | ( in @ X1 @ X2 )
      | ~ ( in @ X1 @ ( set_union2 @ X2 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl797,plain,
    ( ( in @ sk__14 @ sk__13 )
    | ( in @ sk__14 @ ( singleton @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl790]) ).

thf(zip_derived_cl61_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl828,plain,
    ( ( in @ sk__14 @ sk__13 )
    | ( sk__14 = sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl797,zip_derived_cl61]) ).

thf(zip_derived_cl54,plain,
    sk__13 != sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl838,plain,
    in @ sk__14 @ sk__13,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl828,zip_derived_cl54]) ).

thf(antisymmetry_r2_hidden,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).

thf(zip_derived_cl839,plain,
    ~ ( in @ sk__13 @ sk__14 ),
    inference('sup-',[status(thm)],[zip_derived_cl838,zip_derived_cl0]) ).

thf(zip_derived_cl5138,plain,
    ( ( sk__13 = sk__14 )
    | ~ ( in @ sk__13 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4763,zip_derived_cl839]) ).

thf(zip_derived_cl76_006,plain,
    ! [X0: $i] : ( in @ X0 @ ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl7]) ).

thf(zip_derived_cl5158,plain,
    sk__13 = sk__14,
    inference(demod,[status(thm)],[zip_derived_cl5138,zip_derived_cl76]) ).

thf(zip_derived_cl54_007,plain,
    sk__13 != sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5159,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5158,zip_derived_cl54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM385+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.urN9KL6pzo true
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Aug 25 08:23:13 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.18/0.60  % Total configuration time : 435
% 0.18/0.60  % Estimated wc time : 1092
% 0.18/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.78/1.98  % Solved by fo/fo7.sh.
% 9.78/1.98  % done 1535 iterations in 1.232s
% 9.78/1.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.78/1.98  % SZS output start Refutation
% See solution above
% 9.78/1.99  
% 9.78/1.99  
% 9.78/1.99  % Terminating...
% 9.78/2.04  % Runner terminated.
% 9.78/2.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------