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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO040^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bxlVfvSR6O true

% Computer : n028.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 05:06:17 PM UTC 2025

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   46 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  209 (  17 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :  184 (  29   ~;  35   |;   0   &; 120   @)
%                                         (   0 <=>;   0  =>;   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 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f_type,type,
    f: $o > $o ).

thf(x_type,type,
    x: $o ).

thf(h_type,type,
    h: $o > $i ).

thf(2,conjecture,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
    = ( h @ ( f @ x ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
   != ( h @ ( f @ x ) ) ),
    inference('cnf.neg',[status(esa)],[2]) ).

thf(zip_derived_cl0,plain,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
   != ( h @ ( f @ x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
   != ( h @ ( f @ x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( f @ ( f @ x ) )
   != x ),
    inference(ext_eqres,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( f @ ( f @ x ) )
    | ~ x ),
    inference(eq_elim,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ( ~ ( f @ ( f @ $true ) )
    | ~ x ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7_002,plain,
    ( ~ ( f @ ( f @ $true ) )
    | ~ x ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ( f @ $true )
    | ~ ( f @ $false )
    | ~ x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl1_003,plain,
    ( ( f @ ( f @ x ) )
   != x ),
    inference(ext_eqres,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ( x
    | ( f @ ( f @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ( ( f @ $false )
    | x
    | ( f @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ( x
    | ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl10_004,plain,
    ( x
    | ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl0_005,plain,
    ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
   != ( h @ ( f @ x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ( ( h @ ( f @ ( f @ ( f @ $true ) ) ) )
     != ( h @ ( f @ x ) ) )
    | ( f @ $false ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).

thf(zip_derived_cl23,plain,
    ( ( f @ $true )
    | ( ( h @ ( f @ ( f @ $false ) ) )
     != ( h @ ( f @ x ) ) )
    | ( f @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl24,plain,
    ( ( f @ $true )
    | ( ( h @ $false )
     != ( h @ ( f @ x ) ) )
    | ( f @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl28,plain,
    ( ( ( h @ $false )
     != ( h @ ( f @ $true ) ) )
    | ( f @ $false )
    | ( f @ $false )
    | ( f @ $true ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl24]) ).

thf(zip_derived_cl33,plain,
    ( ( f @ $true )
    | ( f @ $false )
    | ( ( h @ $false )
     != ( h @ ( f @ $true ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl34,plain,
    ( ( f @ $true )
    | ( f @ $false )
    | ( ( h @ $false )
     != ( h @ $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl35,plain,
    ( ( f @ $false )
    | ( f @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl5_006,plain,
    ( x
    | ( f @ ( f @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl37,plain,
    ( ( f @ $true )
    | ( f @ $true )
    | x ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl5]) ).

thf(zip_derived_cl42,plain,
    ( x
    | ( f @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl51,plain,
    ( ~ ( f @ $false )
    | ( f @ $true )
    | ( f @ $true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl42]) ).

thf(zip_derived_cl52,plain,
    ( ( f @ $true )
    | ~ ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl35_007,plain,
    ( ( f @ $false )
    | ( f @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl56,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl35]) ).

thf(zip_derived_cl56_008,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl35]) ).

thf(zip_derived_cl57,plain,
    ~ x,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl56,zip_derived_cl56]) ).

thf(zip_derived_cl57_009,plain,
    ~ x,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl56,zip_derived_cl56]) ).

thf(zip_derived_cl61,plain,
    ( ( h @ ( f @ ( f @ ( f @ $false ) ) ) )
   != ( h @ ( f @ $false ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl57,zip_derived_cl57]) ).

thf(zip_derived_cl10_010,plain,
    ( x
    | ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl1_011,plain,
    ( ( f @ ( f @ x ) )
   != x ),
    inference(ext_eqres,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl11,plain,
    ( ( ( f @ ( f @ $true ) )
     != x )
    | ( f @ $false ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).

thf(zip_derived_cl56_012,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl35]) ).

thf(zip_derived_cl56_013,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl35]) ).

thf(zip_derived_cl58,plain,
    ( ~ x
    | ( f @ $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl56,zip_derived_cl56]) ).

thf(zip_derived_cl10_014,plain,
    ( x
    | ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl71,plain,
    f @ $false,
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl10]) ).

thf(zip_derived_cl56_015,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl35]) ).

thf(zip_derived_cl56_016,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl35]) ).

thf(zip_derived_cl71_017,plain,
    f @ $false,
    inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl10]) ).

thf(zip_derived_cl72,plain,
    ( ( h @ $true )
   != ( h @ $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl71,zip_derived_cl56,zip_derived_cl56,zip_derived_cl71]) ).

thf(zip_derived_cl73,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYO040^2 : TPTP v9.2.0. Released v4.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bxlVfvSR6O true
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 18:18:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.55/0.66  % Total configuration time : 828
% 0.55/0.66  % Estimated wc time : 1656
% 0.55/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.79  % Solved by lams/35_full_unif4.sh.
% 0.59/0.79  % done 26 iterations in 0.014s
% 0.59/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.79  % SZS output start Refutation
% See solution above
% 0.59/0.79  
% 0.59/0.79  
% 0.59/0.79  % Terminating...
% 0.68/0.86  % Runner terminated.
% 0.68/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------