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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP138^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2loJPMWOzl true

% Computer : n023.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 04:38:57 PM UTC 2025

% Result   : Theorem 28.31s 4.24s
% Output   : Refutation 28.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (  13 equ;   1 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   66 (   4   ~;   0   |;   0   &;  54   @)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  11 usr;   8 con; 0-2 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   19 (  14   ^;   5   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_Pa1764573435lle_tv_type,type,
    set_Pa1764573435lle_tv: $tType ).

thf(set_nat_type,type,
    set_nat: $tType ).

thf(paraco1605129243lle_tv_type,type,
    paraco1605129243lle_tv: $tType ).

thf(paraco1604210848lle_fm_type,type,
    paraco1604210848lle_fm: $tType ).

thf(set_list_char_type,type,
    set_list_char: $tType ).

thf(image_1187894195lle_tv_type,type,
    image_1187894195lle_tv: ( list_char > paraco1605129243lle_tv ) > set_list_char > set_Pa1764573435lle_tv ).

thf(top_to748628679t_char_type,type,
    top_to748628679t_char: set_list_char ).

thf(nat_type,type,
    nat: $tType ).

thf(list_char_type,type,
    list_char: $tType ).

thf(p_type,type,
    p: paraco1604210848lle_fm ).

thf(top_top_set_nat_type,type,
    top_top_set_nat: set_nat ).

thf(collect_nat_type,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(paraco1344940915le_Det_type,type,
    paraco1344940915le_Det: $o > paraco1605129243lle_tv ).

thf(ord_le241064091lle_tv_type,type,
    ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).

thf(paraco1933902578domain_type,type,
    paraco1933902578domain: set_nat > set_Pa1764573435lle_tv ).

thf(paraco1325918602e_eval_type,type,
    paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).

thf(top_to1057771083lle_tv_type,type,
    top_to1057771083lle_tv: set_Pa1764573435lle_tv ).

thf(collec1111687558lle_tv_type,type,
    collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(fact_254_subset__UNIV,axiom,
    ! [A: set_Pa1764573435lle_tv] : ( ord_le241064091lle_tv @ A @ top_to1057771083lle_tv ) ).

thf(zip_derived_cl254,plain,
    ( !!
    @ ^ [Y0: set_Pa1764573435lle_tv] : ( ord_le241064091lle_tv @ Y0 @ top_to1057771083lle_tv ) ),
    inference(cnf,[status(esa)],[fact_254_subset__UNIV]) ).

thf(fact_203_UNIV__def,axiom,
    ( top_to1057771083lle_tv
    = ( collec1111687558lle_tv
      @ ^ [X: paraco1605129243lle_tv] : $true ) ) ).

thf(zip_derived_cl203,plain,
    ( top_to1057771083lle_tv
    = ( collec1111687558lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] : $true ) ),
    inference(cnf,[status(esa)],[fact_203_UNIV__def]) ).

thf(fact_202_UNIV__def,axiom,
    ( top_top_set_nat
    = ( collect_nat
      @ ^ [X: nat] : $true ) ) ).

thf(zip_derived_cl202,plain,
    ( top_top_set_nat
    = ( collect_nat
      @ ^ [Y0: nat] : $true ) ),
    inference(cnf,[status(esa)],[fact_202_UNIV__def]) ).

thf(fact_0_universal__domain,axiom,
    ( ( paraco1933902578domain
      @ ( collect_nat
        @ ^ [N: nat] : $true ) )
    = ( collec1111687558lle_tv
      @ ^ [X: paraco1605129243lle_tv] : $true ) ) ).

thf(zip_derived_cl0,plain,
    ( ( paraco1933902578domain
      @ ( collect_nat
        @ ^ [Y0: nat] : $true ) )
    = ( collec1111687558lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] : $true ) ),
    inference(cnf,[status(esa)],[fact_0_universal__domain]) ).

thf(conj_0,conjecture,
    ~ ( ! [I: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ I @ p )
          = ( paraco1344940915le_Det @ $true ) )
    <=> ~ ! [I: list_char > paraco1605129243lle_tv] :
            ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ I @ top_to748628679t_char )
              @ ( paraco1933902578domain
                @ ( collect_nat
                  @ ^ [N: nat] : $true ) ) )
           => ( ( paraco1325918602e_eval @ I @ p )
              = ( paraco1344940915le_Det @ $true ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ! [I: list_char > paraco1605129243lle_tv] :
        ( ( paraco1325918602e_eval @ I @ p )
        = ( paraco1344940915le_Det @ $true ) )
  <=> ~ ! [I: list_char > paraco1605129243lle_tv] :
          ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ I @ top_to748628679t_char )
            @ ( paraco1933902578domain
              @ ( collect_nat
                @ ^ [N: nat] : $true ) ) )
         => ( ( paraco1325918602e_eval @ I @ p )
            = ( paraco1344940915le_Det @ $true ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl354,plain,
    ( ( !!
      @ ^ [Y0: list_char > paraco1605129243lle_tv] :
          ( ( paraco1325918602e_eval @ Y0 @ p )
          = ( paraco1344940915le_Det @ $true ) ) )
    = ( (~)
      @ ( !!
        @ ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
              @ ( paraco1933902578domain
                @ ( collect_nat
                  @ ^ [Y1: nat] : $true ) ) )
           => ( ( paraco1325918602e_eval @ Y0 @ p )
              = ( paraco1344940915le_Det @ $true ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2851,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl254,zip_derived_cl203,zip_derived_cl202,zip_derived_cl0,zip_derived_cl354]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : ITP138^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2loJPMWOzl true
% 0.13/0.37  % Computer : n023.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Wed Oct  1 15:30:08 EDT 2025
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  % Running portfolio for 300 s
% 0.13/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % Number of cores: 8
% 0.13/0.38  % Python version: Python 3.6.8
% 0.13/0.38  % Running in HO mode
% 0.50/0.66  % Total configuration time : 828
% 0.50/0.66  % Estimated wc time : 1656
% 0.50/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.83  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 28.31/4.24  % Solved by lams/15_e_short1.sh.
% 28.31/4.24  % done 155 iterations in 3.461s
% 28.31/4.24  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 28.31/4.24  % SZS output start Refutation
% See solution above
% 28.31/4.24  
% 28.31/4.24  
% 28.31/4.24  % Terminating...
% 28.46/4.30  % Runner terminated.
% 28.46/4.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------