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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL726^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AhC5DKHHW5 true

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:37:08 PM UTC 2026

% Result   : Theorem 0.46s 0.80s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (   4   ~;   1   |;   0   &;  43   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  16   !;   8   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk__1_type,type,
    sk__1: ( ( a > $o ) > a ) > a ).

thf(sk__type,type,
    sk_: ( ( a > $o ) > a ) > a > $o ).

thf(cTHM534,conjecture,
    ( ! [Xs: ( a > $o ) > $o] :
        ( ! [X: a > $o] :
            ( ( Xs @ X )
           => ? [Xt: a] : ( X @ Xt ) )
       => ? [Xf: ( a > $o ) > a] :
          ! [X: a > $o] :
            ( ( Xs @ X )
           => ( X @ ( Xf @ X ) ) ) )
   => ! [Xg: ( ( a > $o ) > a ) > a > $o] :
        ( ! [Xh: ( a > $o ) > a] :
          ? [Xu: a] : ( Xg @ Xh @ Xu )
       => ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xs: ( a > $o ) > $o] :
          ( ! [X: a > $o] :
              ( ( Xs @ X )
             => ? [Xt: a] : ( X @ Xt ) )
         => ? [Xf: ( a > $o ) > a] :
            ! [X: a > $o] :
              ( ( Xs @ X )
             => ( X @ ( Xf @ X ) ) ) )
     => ! [Xg: ( ( a > $o ) > a ) > a > $o] :
          ( ! [Xh: ( a > $o ) > a] :
            ? [Xu: a] : ( Xg @ Xh @ Xu )
         => ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM534]) ).

thf(zip_derived_cl3,plain,
    ! [X4: ( a > $o ) > a] : ( sk_ @ X4 @ ( sk__1 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X3: ( a > $o ) > a] :
      ~ ( sk_ @ X3 @ ( X3 @ ( sk_ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X3: ( a > $o ) > a,X5: a] :
      ( ~ ( sk_ @ X3 @ X5 )
      | ( sk_ @ X3 @ ( $$choice @ ( sk_ @ X3 ) ) ) ),
    inference('inst_choice((sk_ @ X3))',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ! [X0: ( a > $o ) > a] : ( sk_ @ X0 @ ( $$choice @ ( sk_ @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl2_001,plain,
    ! [X3: ( a > $o ) > a] :
      ~ ( sk_ @ X3 @ ( X3 @ ( sk_ @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL726^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AhC5DKHHW5 true
% 0.11/0.36  % Computer : n020.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sat Sep  5 00:23:42 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  % Running portfolio for 300 s
% 0.11/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Number of cores: 8
% 0.11/0.37  % Python version: Python 3.12.3
% 0.11/0.38  % Running in HO mode
% 0.42/0.67  % Total configuration time : 828
% 0.42/0.67  % Estimated wc time : 1656
% 0.42/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.45/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.45/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.80  % Solved by lams/40_c.s.sh.
% 0.46/0.80  % done 3 iterations in 0.045s
% 0.46/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.46/0.80  % SZS output start Refutation
% See solution above
% 0.46/0.80  
% 0.46/0.80  
% 0.46/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.46/0.80  % Terminating...
% 0.46/0.84  % Runner terminated.
% 0.46/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------