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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU306+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.705UtHc3mC true

% Computer : n029.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 04:54:11 PM UTC 2025

% Result   : Theorem 1.41s 2.60s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   6 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (   3   ~;   1   |;   0   &;  17   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cast_as_carrier_subset_type,type,
    cast_as_carrier_subset: $i > $i ).

thf(one_sorted_str_type,type,
    one_sorted_str: $i > $o ).

thf(the_carrier_type,type,
    the_carrier: $i > $i ).

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

thf(t12_pre_topc,conjecture,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( cast_as_carrier_subset @ A )
        = ( the_carrier @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( one_sorted_str @ A )
       => ( ( cast_as_carrier_subset @ A )
          = ( the_carrier @ A ) ) ),
    inference('cnf.neg',[status(esa)],[t12_pre_topc]) ).

thf(zip_derived_cl76,plain,
    one_sorted_str @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d3_pre_topc,axiom,
    ! [A: $i] :
      ( ( one_sorted_str @ A )
     => ( ( cast_as_carrier_subset @ A )
        = ( the_carrier @ A ) ) ) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ( ( cast_as_carrier_subset @ X0 )
        = ( the_carrier @ X0 ) )
      | ~ ( one_sorted_str @ X0 ) ),
    inference(cnf,[status(esa)],[d3_pre_topc]) ).

thf(zip_derived_cl226,plain,
    ( ( cast_as_carrier_subset @ sk__5 )
    = ( the_carrier @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl75]) ).

thf(zip_derived_cl77,plain,
    ( ( cast_as_carrier_subset @ sk__5 )
   != ( the_carrier @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl228,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl226,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.86  % Problem  : SEU306+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.95  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.705UtHc3mC true
% 0.16/1.33  % Computer : n029.cluster.edu
% 0.16/1.33  % Model    : x86_64 x86_64
% 0.16/1.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/1.33  % Memory   : 8042.1875MB
% 0.16/1.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/1.33  % CPULimit : 300
% 0.16/1.33  % WCLimit  : 300
% 0.16/1.33  % DateTime : Wed Oct  1 16:13:54 EDT 2025
% 0.16/1.35  % CPUTime  : 
% 0.16/1.35  % Running portfolio for 300 s
% 0.16/1.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/1.38  % Number of cores: 8
% 0.18/1.39  % Python version: Python 3.6.8
% 0.19/1.42  % Running in FO mode
% 0.41/2.12  % Total configuration time : 435
% 0.41/2.12  % Estimated wc time : 1092
% 0.41/2.12  % Estimated cpu time (7 cpus) : 156.0
% 1.17/2.39  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.17/2.40  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.41/2.58  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.41/2.60  % Solved by fo/fo3_bce.sh.
% 1.41/2.60  % BCE start: 78
% 1.41/2.60  % BCE eliminated: 49
% 1.41/2.60  % PE start: 29
% 1.41/2.60  logic: eq
% 1.41/2.60  % PE eliminated: 2
% 1.41/2.60  % done 11 iterations in 0.052s
% 1.41/2.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/2.60  % SZS output start Refutation
% See solution above
% 1.41/2.60  
% 1.41/2.60  
% 1.41/2.60  % Terminating...
% 1.61/3.05  % Runner terminated.
% 1.61/3.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------