%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET066^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kApetMlq3I true

% Computer : n006.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 16:12:21 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   9 unt;   4 typ;   0 def)
%            Number of atoms       :   40 (  34 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   29 (   9   ~;  14   |;   0   &;   4   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 con; 0-3 aty)
%            Number of variables   :   17 (   9   ^;   8   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unord_pair_type,type,
    unord_pair: $i > $i > $i > $o ).

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

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

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

thf(unord_pair,axiom,
    ( unord_pair
    = ( ^ [X: $i,Y: $i,U: $i] :
          ( ( U = X )
          | ( U = Y ) ) ) ) ).

thf('0',plain,
    ( unord_pair
    = ( ^ [X: $i,Y: $i,U: $i] :
          ( ( U = X )
          | ( U = Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[unord_pair]) ).

thf('1',plain,
    ( unord_pair
    = ( ^ [V_1: $i,V_2: $i,V_3: $i] :
          ( ( V_3 = V_1 )
          | ( V_3 = V_2 ) ) ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    ! [X: $i,Y: $i] :
      ( ( unord_pair @ X @ Y )
      = ( unord_pair @ Y @ X ) ) ).

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

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

thf(zip_derived_cl3,plain,
    ( ( sk__5 != sk__3 )
    | ( sk__5 != sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    sk__5 != sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__5 = sk__3 )
    | ( sk__5 = sk__4 )
    | ( sk__5 = sk__4 )
    | ( sk__5 = sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__5 = sk__4 )
    | ( sk__5 = sk__3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ( sk__5 != sk__4 )
    | ( sk__5 != sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    sk__5 != sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl10,plain,
    ( ( sk__5 != sk__5 )
    | ( sk__5 = sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    sk__5 = sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl13,plain,
    sk__5 != sk__5,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET066^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kApetMlq3I true
% 0.13/0.34  % Computer : n006.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 09:26:22 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.63  % Total configuration time : 828
% 0.21/0.63  % Estimated wc time : 1656
% 0.21/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % Solved by lams/40_c.s.sh.
% 0.21/0.74  % done 4 iterations in 0.008s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.75  % Terminating...
% 1.19/0.85  % Runner terminated.
% 1.19/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------