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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP386_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aE6Rl5Bdih true

% Computer : n016.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 04:40:01 PM UTC 2025

% Result   : Theorem 4.52s 1.27s
% Output   : Refutation 4.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (  25 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  304 (  17   ~;  11   |;   2   &; 270   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^;  29   !;   2   ?;  31   :)

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

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

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

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

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

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

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

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

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

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

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

thf('fun_app$m_type',type,
    'fun_app$m': 'C_b_fun$' > 'C$' > 'B$' ).

thf('valid_getter_setter$_type',type,
    'valid_getter_setter$': 'C_b_fun$' > 'B_c_c_fun_fun$' > $o ).

thf('register_from_getter_setter$a_type',type,
    'register_from_getter_setter$a': 'C_b_fun$' > 'B_c_c_fun_fun$' > 'B_b_option_fun_c_c_option_fun_fun$' ).

thf(sk__19_type,type,
    sk__19: 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_fun_fun$' ).

thf('fun_app$an_type',type,
    'fun_app$an': 'B_option_c_option_fun$' > 'B_option$' > 'C_option$' ).

thf('setter$_type',type,
    'setter$': 'B_b_option_fun_c_c_option_fun_fun$' > 'B_c_c_fun_fun$' ).

thf(sk__18_type,type,
    sk__18: 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).

thf('fun_app$j_type',type,
    'fun_app$j': 'C_c_option_fun$' > 'C$' > 'C_option$' ).

thf('fun_app$g_type',type,
    'fun_app$g': 'B_b_option_fun$' > 'B$' > 'B_option$' ).

thf(sk__type,type,
    sk_: 'C_b_fun$' > 'B_c_c_fun_fun$' > 'B_b_option_fun$' ).

thf(sk__1_type,type,
    sk__1: 'C_b_fun$' > 'B_c_c_fun_fun$' > 'C$' ).

thf('g$_type',type,
    'g$': 'B_b_option_fun_c_c_option_fun_fun$' ).

thf('none$_type',type,
    'none$': 'C_option$' ).

thf('uu$_type',type,
    'uu$': 'B_c_c_fun_fun$' > 'C$' > 'B_c_option_fun$' ).

thf('getter$_type',type,
    'getter$': 'B_b_option_fun_c_c_option_fun_fun$' > 'C_b_fun$' ).

thf('fun_app$am_type',type,
    'fun_app$am': 'B_b_option_fun_c_c_option_fun_fun$' > 'B_b_option_fun$' > 'C_c_option_fun$' ).

thf('register$a_type',type,
    'register$a': 'B_b_option_fun_c_c_option_fun_fun$' > $o ).

thf('thesis$_type',type,
    'thesis$': $o ).

thf('case_option$c_type',type,
    'case_option$c': 'C_option$' > 'B_c_option_fun$' > 'B_option_c_option_fun$' ).

thf(axiom75,axiom,
    'register$a' @ 'g$' ).

thf(zip_derived_cl2,plain,
    'register$a' @ 'g$',
    inference(cnf,[status(esa)],[axiom75]) ).

thf(axiom136,axiom,
    ! [A__questionmark_v0: 'B_b_option_fun_c_c_option_fun_fun$'] :
      ( ( 'register$a' @ A__questionmark_v0 )
    <=> ? [A__questionmark_v1: 'C_b_fun$',A__questionmark_v2: 'B_c_c_fun_fun$'] :
          ( ( 'valid_getter_setter$' @ A__questionmark_v1 @ A__questionmark_v2 )
          & ( A__questionmark_v0
            = ( 'register_from_getter_setter$a' @ A__questionmark_v1 @ A__questionmark_v2 ) ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
      ( ( X0
        = ( 'register_from_getter_setter$a' @ ( sk__18 @ X0 ) @ ( sk__19 @ X0 ) ) )
      | ~ ( 'register$a' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom136]) ).

thf(zip_derived_cl408,plain,
    ( 'g$'
    = ( 'register_from_getter_setter$a' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl40]) ).

thf(zip_derived_cl408_001,plain,
    ( 'g$'
    = ( 'register_from_getter_setter$a' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl40]) ).

thf(axiom163,axiom,
    ! [A__questionmark_v0: 'C_b_fun$',A__questionmark_v1: 'B_c_c_fun_fun$'] :
      ( ( 'valid_getter_setter$' @ A__questionmark_v0 @ A__questionmark_v1 )
     => ( ( 'getter$' @ ( 'register_from_getter_setter$a' @ A__questionmark_v0 @ A__questionmark_v1 ) )
        = A__questionmark_v0 ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: 'C_b_fun$',X1: 'B_c_c_fun_fun$'] :
      ( ( ( 'getter$' @ ( 'register_from_getter_setter$a' @ X0 @ X1 ) )
        = X0 )
      | ~ ( 'valid_getter_setter$' @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom163]) ).

thf(zip_derived_cl590,plain,
    ( ( ( 'getter$' @ 'g$' )
      = ( sk__18 @ 'g$' ) )
    | ~ ( 'valid_getter_setter$' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl408,zip_derived_cl51]) ).

thf(zip_derived_cl2_002,plain,
    'register$a' @ 'g$',
    inference(cnf,[status(esa)],[axiom75]) ).

thf(zip_derived_cl39,plain,
    ! [X0: 'B_b_option_fun_c_c_option_fun_fun$'] :
      ( ( 'valid_getter_setter$' @ ( sk__18 @ X0 ) @ ( sk__19 @ X0 ) )
      | ~ ( 'register$a' @ X0 ) ),
    inference(cnf,[status(esa)],[axiom136]) ).

thf(zip_derived_cl407,plain,
    'valid_getter_setter$' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl39]) ).

thf(zip_derived_cl594,plain,
    ( ( 'getter$' @ 'g$' )
    = ( sk__18 @ 'g$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl590,zip_derived_cl407]) ).

thf(zip_derived_cl614,plain,
    ( 'g$'
    = ( 'register_from_getter_setter$a' @ ( 'getter$' @ 'g$' ) @ ( sk__19 @ 'g$' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl408,zip_derived_cl594]) ).

thf(zip_derived_cl408_003,plain,
    ( 'g$'
    = ( 'register_from_getter_setter$a' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl40]) ).

thf(axiom166,axiom,
    ! [A__questionmark_v0: 'C_b_fun$',A__questionmark_v1: 'B_c_c_fun_fun$'] :
      ( ( 'valid_getter_setter$' @ A__questionmark_v0 @ A__questionmark_v1 )
     => ( ( 'setter$' @ ( 'register_from_getter_setter$a' @ A__questionmark_v0 @ A__questionmark_v1 ) )
        = A__questionmark_v1 ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
      ( ( ( 'setter$' @ ( 'register_from_getter_setter$a' @ X1 @ X0 ) )
        = X0 )
      | ~ ( 'valid_getter_setter$' @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom166]) ).

thf(zip_derived_cl591,plain,
    ( ( ( 'setter$' @ 'g$' )
      = ( sk__19 @ 'g$' ) )
    | ~ ( 'valid_getter_setter$' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl408,zip_derived_cl52]) ).

thf(zip_derived_cl407_004,plain,
    'valid_getter_setter$' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl39]) ).

thf(zip_derived_cl595,plain,
    ( ( 'setter$' @ 'g$' )
    = ( sk__19 @ 'g$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl407]) ).

thf(zip_derived_cl2418,plain,
    ( 'g$'
    = ( 'register_from_getter_setter$a' @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl595]) ).

thf(hypothesis73,axiom,
    ! [A__questionmark_v0: 'B_c_c_fun_fun$',A__questionmark_v1: 'C_b_fun$'] :
      ( ( ! [A__questionmark_v2: 'B_b_option_fun$',A__questionmark_v3: 'C$'] :
            ( ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ A__questionmark_v2 ) @ A__questionmark_v3 )
            = ( 'fun_app$an' @ ( 'case_option$c' @ 'none$' @ ( 'uu$' @ A__questionmark_v0 @ A__questionmark_v3 ) ) @ ( 'fun_app$g' @ A__questionmark_v2 @ ( 'fun_app$m' @ A__questionmark_v1 @ A__questionmark_v3 ) ) ) )
        & ( 'valid_getter_setter$' @ A__questionmark_v1 @ A__questionmark_v0 ) )
     => 'thesis$' ) ).

thf(zip_derived_cl1,plain,
    ! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
      ( 'thesis$'
      | ( ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ X1 @ X0 ) ) @ ( sk__1 @ X1 @ X0 ) )
       != ( 'fun_app$an' @ ( 'case_option$c' @ 'none$' @ ( 'uu$' @ X0 @ ( sk__1 @ X1 @ X0 ) ) ) @ ( 'fun_app$g' @ ( sk_ @ X1 @ X0 ) @ ( 'fun_app$m' @ X1 @ ( sk__1 @ X1 @ X0 ) ) ) ) )
      | ~ ( 'valid_getter_setter$' @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[hypothesis73]) ).

thf(conjecture72,conjecture,
    'thesis$' ).

thf(zf_stmt_0,negated_conjecture,
    ~ 'thesis$',
    inference('cnf.neg',[status(esa)],[conjecture72]) ).

thf(zip_derived_cl144,plain,
    ~ 'thesis$',
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    ! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
      ( ~ ( 'valid_getter_setter$' @ X1 @ X0 )
      | ( ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ X1 @ X0 ) ) @ ( sk__1 @ X1 @ X0 ) )
       != ( 'fun_app$an' @ ( 'case_option$c' @ 'none$' @ ( 'uu$' @ X0 @ ( sk__1 @ X1 @ X0 ) ) ) @ ( 'fun_app$g' @ ( sk_ @ X1 @ X0 ) @ ( 'fun_app$m' @ X1 @ ( sk__1 @ X1 @ X0 ) ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl144]) ).

thf(axiom94,axiom,
    ! [A__questionmark_v0: 'C_b_fun$',A__questionmark_v1: 'B_c_c_fun_fun$',A__questionmark_v2: 'B_b_option_fun$',A__questionmark_v3: 'C$'] :
      ( ( 'fun_app$j' @ ( 'fun_app$am' @ ( 'register_from_getter_setter$a' @ A__questionmark_v0 @ A__questionmark_v1 ) @ A__questionmark_v2 ) @ A__questionmark_v3 )
      = ( 'fun_app$an' @ ( 'case_option$c' @ 'none$' @ ( 'uu$' @ A__questionmark_v1 @ A__questionmark_v3 ) ) @ ( 'fun_app$g' @ A__questionmark_v2 @ ( 'fun_app$m' @ A__questionmark_v0 @ A__questionmark_v3 ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: 'B_c_c_fun_fun$',X1: 'C$',X2: 'B_b_option_fun$',X3: 'C_b_fun$'] :
      ( ( 'fun_app$j' @ ( 'fun_app$am' @ ( 'register_from_getter_setter$a' @ X3 @ X0 ) @ X2 ) @ X1 )
      = ( 'fun_app$an' @ ( 'case_option$c' @ 'none$' @ ( 'uu$' @ X0 @ X1 ) ) @ ( 'fun_app$g' @ X2 @ ( 'fun_app$m' @ X3 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[axiom94]) ).

thf(zip_derived_cl949,plain,
    ! [X0: 'B_c_c_fun_fun$',X1: 'C_b_fun$'] :
      ( ~ ( 'valid_getter_setter$' @ X1 @ X0 )
      | ( ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ X1 @ X0 ) ) @ ( sk__1 @ X1 @ X0 ) )
       != ( 'fun_app$j' @ ( 'fun_app$am' @ ( 'register_from_getter_setter$a' @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) @ ( sk__1 @ X1 @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl403,zip_derived_cl16]) ).

thf(zip_derived_cl2423,plain,
    ( ( ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ) @ ( sk__1 @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) )
     != ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ) @ ( sk__1 @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ) )
    | ~ ( 'valid_getter_setter$' @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2418,zip_derived_cl949]) ).

thf(zip_derived_cl407_005,plain,
    'valid_getter_setter$' @ ( sk__18 @ 'g$' ) @ ( sk__19 @ 'g$' ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl39]) ).

thf(zip_derived_cl594_006,plain,
    ( ( 'getter$' @ 'g$' )
    = ( sk__18 @ 'g$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl590,zip_derived_cl407]) ).

thf(zip_derived_cl613,plain,
    'valid_getter_setter$' @ ( 'getter$' @ 'g$' ) @ ( sk__19 @ 'g$' ),
    inference(demod,[status(thm)],[zip_derived_cl407,zip_derived_cl594]) ).

thf(zip_derived_cl595_007,plain,
    ( ( 'setter$' @ 'g$' )
    = ( sk__19 @ 'g$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl407]) ).

thf(zip_derived_cl2382,plain,
    'valid_getter_setter$' @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ),
    inference(demod,[status(thm)],[zip_derived_cl613,zip_derived_cl595]) ).

thf(zip_derived_cl2433,plain,
    ( ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ) @ ( sk__1 @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) )
   != ( 'fun_app$j' @ ( 'fun_app$am' @ 'g$' @ ( sk_ @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ) @ ( sk__1 @ ( 'getter$' @ 'g$' ) @ ( 'setter$' @ 'g$' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2423,zip_derived_cl2382]) ).

thf(zip_derived_cl2434,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2433]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP386_1 : TPTP v9.2.0. Released v8.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aE6Rl5Bdih true
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:28:23 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.86  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.52/1.27  % Solved by fo/fo3_bce.sh.
% 4.52/1.27  % BCE start: 145
% 4.52/1.27  % BCE eliminated: 4
% 4.52/1.27  % PE start: 141
% 4.52/1.27  logic: eq
% 4.52/1.27  % PE eliminated: 11
% 4.52/1.27  % done 649 iterations in 0.507s
% 4.52/1.27  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.52/1.27  % SZS output start Refutation
% See solution above
% 4.52/1.27  
% 4.52/1.27  
% 4.52/1.27  % Terminating...
% 5.16/1.37  % Runner terminated.
% 5.16/1.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------