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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU484^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0UHvRgOM87 true

% Computer : n007.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 04:54:46 PM UTC 2025

% Result   : Theorem 0.50s 0.73s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  104 (  16   ~;   3   |;   5   &;  67   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   47 (  13   ^;  24   !;  10   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: ( $i > $o ) > $i ).

thf(refl_type,type,
    refl: ( $i > $i > $o ) > $o ).

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

thf(term_type,type,
    term: ( $i > $i > $o ) > $o ).

thf(terminating,axiom,
    ( term
    = ( ^ [R: $i > $i > $o] :
        ! [A: $i > $o] :
          ( ? [X: $i] : ( A @ X )
         => ? [X: $i] :
              ( ! [Y: $i] :
                  ( ( A @ Y )
                 => ~ ( R @ X @ Y ) )
              & ( A @ X ) ) ) ) ) ).

thf('0',plain,
    ( term
    = ( ^ [R: $i > $i > $o] :
        ! [A: $i > $o] :
          ( ? [X: $i] : ( A @ X )
         => ? [X: $i] :
              ( ! [Y: $i] :
                  ( ( A @ Y )
                 => ~ ( R @ X @ Y ) )
              & ( A @ X ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[terminating]) ).

thf('1',plain,
    ( term
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i > $o] :
          ( ? [X6: $i] : ( X4 @ X6 )
         => ? [X8: $i] :
              ( ! [X10: $i] :
                  ( ( X4 @ X10 )
                 => ~ ( V_1 @ X8 @ X10 ) )
              & ( X4 @ X8 ) ) ) ) ),
    define([status(thm)]) ).

thf(reflexive,axiom,
    ( refl
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i] : ( R @ X @ X ) ) ) ).

thf('2',plain,
    ( refl
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i] : ( R @ X @ X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[reflexive]) ).

thf('3',plain,
    ( refl
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf(reflexive_implies_non_terminating,conjecture,
    ! [R: $i > $i > $o] :
      ( ( refl @ R )
     => ~ ( term @ R ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o] :
      ( ! [X6: $i] : ( X4 @ X6 @ X6 )
     => ~ ! [X8: $i > $o] :
            ( ? [X10: $i] : ( X8 @ X10 )
           => ? [X12: $i] :
                ( ! [X14: $i] :
                    ( ( X8 @ X14 )
                   => ~ ( X4 @ X12 @ X14 ) )
                & ( X8 @ X12 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o] :
        ( ! [X6: $i] : ( X4 @ X6 @ X6 )
       => ~ ! [X8: $i > $o] :
              ( ? [X10: $i] : ( X8 @ X10 )
             => ? [X12: $i] :
                  ( ! [X14: $i] :
                      ( ( X8 @ X14 )
                     => ~ ( X4 @ X12 @ X14 ) )
                  & ( X8 @ X12 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i > $o,X2: $i,X3: $i] :
      ( ~ ( X1 @ X2 )
      | ~ ( sk__5 @ ( sk__6 @ X1 ) @ X2 )
      | ~ ( X1 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( X0 @ X1 )
      | ~ ( sk__5 @ ( sk__6 @ X0 ) @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ~ ( sk__5
      @ ( sk__6
        @ ^ [Y0: $i] :
            ( sk__5
            @ ( ^ [Y1: $i] : Y1
              @ Y0 )
            @ ( ^ [Y1: $i] : Y1
              @ Y0 ) ) )
      @ ( sk__6
        @ ^ [Y0: $i] :
            ( sk__5 @ Y0
            @ ( ^ [Y1: $i] : Y1
              @ Y0 ) ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ~ ( sk__5
      @ ( sk__6
        @ ^ [Y0: $i] : ( sk__5 @ Y0 @ Y0 ) )
      @ ( sk__6
        @ ^ [Y0: $i] : ( sk__5 @ Y0 @ Y0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( sk__5 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SEU484^1 : TPTP v9.2.0. Released v3.6.0.
% 0.05/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0UHvRgOM87 true
% 0.10/0.32  % Computer : n007.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Wed Oct  1 16:03:08 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in HO mode
% 0.46/0.61  % Total configuration time : 828
% 0.46/0.61  % Estimated wc time : 1656
% 0.46/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.73  % Solved by lams/40_c_ic.sh.
% 0.50/0.73  % done 2 iterations in 0.018s
% 0.50/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.73  % SZS output start Refutation
% See solution above
% 0.50/0.73  
% 0.50/0.73  
% 0.50/0.73  % Terminating...
% 0.53/0.82  % Runner terminated.
% 2.06/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------