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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP367_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HMV4SvsIaL true

% Computer : n021.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 04:39:59 PM UTC 2025

% Result   : Theorem 0.55s 0.97s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   35 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  148 (  13   ~;   9   |;   2   &; 122   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf('A_ltln_set_bool_fun$_type',type,
    'A_ltln_set_bool_fun$': $tType ).

thf('A_ltln_set_a_ltln_set_bool_fun_fun$_type',type,
    'A_ltln_set_a_ltln_set_bool_fun_fun$': $tType ).

thf('A_ltln_set$_type',type,
    'A_ltln_set$': $tType ).

thf('A_ltln_a_ltln_set_fun$_type',type,
    'A_ltln_a_ltln_set_fun$': $tType ).

thf('A_ltln$_type',type,
    'A_ltln$': $tType ).

thf('A_ltln_set_a_ltln_set_fun$_type',type,
    'A_ltln_set_a_ltln_set_fun$': $tType ).

thf('A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$_type',type,
    'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$': $tType ).

thf('subformulas_mu$_type',type,
    'subformulas_mu$': 'A_ltln_a_ltln_set_fun$' ).

thf('x$_type',type,
    'x$': 'A_ltln_set$' ).

thf('sup$_type',type,
    'sup$': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' ).

thf('fun_app$h_type',type,
    'fun_app$h': 'A_ltln_a_ltln_set_fun$' > 'A_ltln$' > 'A_ltln_set$' ).

thf('y$_type',type,
    'y$': 'A_ltln_set$' ).

thf('fun_app$c_type',type,
    'fun_app$c': 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' > 'A_ltln_set$' ).

thf('fun_app$g_type',type,
    'fun_app$g': 'A_ltln_set_a_ltln_set_bool_fun_fun$' > 'A_ltln_set$' > 'A_ltln_set_bool_fun$' ).

thf('fun_app$d_type',type,
    'fun_app$d': 'A_ltln_set_a_ltln_set_a_ltln_set_fun_fun$' > 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).

thf('finite$_type',type,
    'finite$': 'A_ltln_set_bool_fun$' ).

thf('phi$_type',type,
    'phi$': 'A_ltln$' ).

thf('fun_app$a_type',type,
    'fun_app$a': 'A_ltln_set_bool_fun$' > 'A_ltln_set$' > $o ).

thf('subformulas_nu$_type',type,
    'subformulas_nu$': 'A_ltln_a_ltln_set_fun$' ).

thf('less_eq$_type',type,
    'less_eq$': 'A_ltln_set_a_ltln_set_bool_fun_fun$' ).

thf(axiom258,axiom,
    ! [A__questionmark_v0: 'A_ltln_set$',A__questionmark_v1: 'A_ltln_set$'] :
      ( ( ( 'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ A__questionmark_v0 ) @ A__questionmark_v1 )
        & ( 'fun_app$a' @ 'finite$' @ A__questionmark_v1 ) )
     => ( 'fun_app$a' @ 'finite$' @ A__questionmark_v0 ) ) ).

thf(zip_derived_cl140,plain,
    ! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
      ( ( 'fun_app$a' @ 'finite$' @ X0 )
      | ~ ( 'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ X0 ) @ X1 )
      | ~ ( 'fun_app$a' @ 'finite$' @ X1 ) ),
    inference(cnf,[status(esa)],[axiom258]) ).

thf(axiom70,axiom,
    'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ 'x$' ) @ ( 'fun_app$h' @ 'subformulas_mu$' @ 'phi$' ) ).

thf(zip_derived_cl41,plain,
    'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ 'x$' ) @ ( 'fun_app$h' @ 'subformulas_mu$' @ 'phi$' ),
    inference(cnf,[status(esa)],[axiom70]) ).

thf(zip_derived_cl1270,plain,
    ( ~ ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$h' @ 'subformulas_mu$' @ 'phi$' ) )
    | ( 'fun_app$a' @ 'finite$' @ 'x$' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl41]) ).

thf(axiom287,axiom,
    ! [A__questionmark_v0: 'A_ltln$'] : ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$h' @ 'subformulas_mu$' @ A__questionmark_v0 ) ) ).

thf(zip_derived_cl158,plain,
    ! [X0: 'A_ltln$'] : ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$h' @ 'subformulas_mu$' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom287]) ).

thf(axiom4,axiom,
    ! [A__questionmark_v0: 'A_ltln_set$',A__questionmark_v1: 'A_ltln_set$'] :
      ( ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$c' @ ( 'fun_app$d' @ 'sup$' @ A__questionmark_v0 ) @ A__questionmark_v1 ) )
    <=> ( ( 'fun_app$a' @ 'finite$' @ A__questionmark_v0 )
        & ( 'fun_app$a' @ 'finite$' @ A__questionmark_v1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
      ( ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$c' @ ( 'fun_app$d' @ 'sup$' @ X0 ) @ X1 ) )
      | ~ ( 'fun_app$a' @ 'finite$' @ X1 )
      | ~ ( 'fun_app$a' @ 'finite$' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom4]) ).

thf(conjecture2,conjecture,
    'fun_app$a' @ 'finite$' @ ( 'fun_app$c' @ ( 'fun_app$d' @ 'sup$' @ 'x$' ) @ 'y$' ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$c' @ ( 'fun_app$d' @ 'sup$' @ 'x$' ) @ 'y$' ) ),
    inference('cnf.neg',[status(esa)],[conjecture2]) ).

thf(zip_derived_cl497,plain,
    ~ ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$c' @ ( 'fun_app$d' @ 'sup$' @ 'x$' ) @ 'y$' ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl765,plain,
    ( ~ ( 'fun_app$a' @ 'finite$' @ 'x$' )
    | ~ ( 'fun_app$a' @ 'finite$' @ 'y$' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl497]) ).

thf(zip_derived_cl140_001,plain,
    ! [X0: 'A_ltln_set$',X1: 'A_ltln_set$'] :
      ( ( 'fun_app$a' @ 'finite$' @ X0 )
      | ~ ( 'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ X0 ) @ X1 )
      | ~ ( 'fun_app$a' @ 'finite$' @ X1 ) ),
    inference(cnf,[status(esa)],[axiom258]) ).

thf(axiom69,axiom,
    'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ 'y$' ) @ ( 'fun_app$h' @ 'subformulas_nu$' @ 'phi$' ) ).

thf(zip_derived_cl40,plain,
    'fun_app$a' @ ( 'fun_app$g' @ 'less_eq$' @ 'y$' ) @ ( 'fun_app$h' @ 'subformulas_nu$' @ 'phi$' ),
    inference(cnf,[status(esa)],[axiom69]) ).

thf(zip_derived_cl1249,plain,
    ( ~ ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$h' @ 'subformulas_nu$' @ 'phi$' ) )
    | ( 'fun_app$a' @ 'finite$' @ 'y$' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl40]) ).

thf(axiom288,axiom,
    ! [A__questionmark_v0: 'A_ltln$'] : ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$h' @ 'subformulas_nu$' @ A__questionmark_v0 ) ) ).

thf(zip_derived_cl159,plain,
    ! [X0: 'A_ltln$'] : ( 'fun_app$a' @ 'finite$' @ ( 'fun_app$h' @ 'subformulas_nu$' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom288]) ).

thf(zip_derived_cl1250,plain,
    'fun_app$a' @ 'finite$' @ 'y$',
    inference(demod,[status(thm)],[zip_derived_cl1249,zip_derived_cl159]) ).

thf(zip_derived_cl1253,plain,
    ~ ( 'fun_app$a' @ 'finite$' @ 'x$' ),
    inference(demod,[status(thm)],[zip_derived_cl765,zip_derived_cl1250]) ).

thf(zip_derived_cl1271,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1270,zip_derived_cl158,zip_derived_cl1253]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP367_1 : TPTP v9.2.0. Released v8.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HMV4SvsIaL true
% 0.12/0.34  % Computer : n021.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 15:35:38 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.97  % Solved by fo/fo3_bce.sh.
% 0.55/0.97  % BCE start: 498
% 0.55/0.97  % BCE eliminated: 0
% 0.55/0.97  % PE start: 498
% 0.55/0.97  logic: eq
% 0.55/0.97  % PE eliminated: 15
% 0.55/0.97  % done 231 iterations in 0.241s
% 0.55/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.97  % SZS output start Refutation
% See solution above
% 0.55/0.97  
% 0.55/0.97  
% 0.55/0.97  % Terminating...
% 0.61/1.05  % Runner terminated.
% 0.61/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------