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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN331+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QD2J4cYXfR true

% Computer : n015.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 Oct  2 05:04:29 PM UTC 2025

% Result   : Theorem 0.52s 0.72s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   90 (   4   ~;   8   |;   0   &;  68   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  15   !;   4   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_f_type,type,
    big_f: $i > $i > $o ).

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

thf(church_46_14_3,conjecture,
    ? [X: $i,Y: $i] :
    ! [Z: $i] :
      ( ( big_f @ X @ Z )
     => ( ( big_f @ Y @ Z )
       => ( ( ( big_f @ X @ Y )
          <=> ( big_f @ Z @ Z ) )
         => ( ( ( big_f @ Y @ X )
              | ( big_f @ Z @ Z ) )
           => ( ( big_f @ Z @ X )
              | ( big_f @ Z @ Y ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
      ! [Z: $i] :
        ( ( big_f @ X @ Z )
       => ( ( big_f @ Y @ Z )
         => ( ( ( big_f @ X @ Y )
            <=> ( big_f @ Z @ Z ) )
           => ( ( ( big_f @ Y @ X )
                | ( big_f @ Z @ Z ) )
             => ( ( big_f @ Z @ X )
                | ( big_f @ Z @ Y ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[church_46_14_3]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X1 @ X0 )
      | ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X1 @ X0 )
      | ( big_f @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] : ( big_f @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN331+1 : TPTP v9.2.0. Released v2.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QD2J4cYXfR true
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Wed Oct  1 13:37:08 EDT 2025
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  % Running portfolio for 300 s
% 0.18/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.35  % Running in FO mode
% 0.52/0.63  % Total configuration time : 435
% 0.52/0.63  % Estimated wc time : 1092
% 0.52/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72  % Solved by fo/fo6_bce.sh.
% 0.52/0.72  % BCE start: 7
% 0.52/0.72  % BCE eliminated: 0
% 0.52/0.72  % PE start: 7
% 0.52/0.72  logic: neq
% 0.52/0.72  % PE eliminated: 0
% 0.52/0.72  % done 11 iterations in 0.009s
% 0.52/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.72  % SZS output start Refutation
% See solution above
% 0.52/0.72  
% 0.52/0.72  
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73  % Terminating...
% 0.57/0.82  % Runner terminated.
% 0.57/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------