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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO500^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XuZXzIKS4g true

% Computer : n022.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 05:07:46 PM UTC 2025

% Result   : Theorem 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   30 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :  130 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :  128 (  28   ~;  36   |;   0   &;  62   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

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

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

thf(con,conjecture,
    ( ( f @ ( f @ ( f @ x ) ) )
  <=> ( f @ x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( f @ ( f @ ( f @ x ) ) )
    <=> ( f @ x ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( f @ x )
    | ~ ( f @ ( f @ ( f @ x ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( f @ x )
    | ~ ( f @ ( f @ $true ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl36,plain,
    ( x
    | ~ ( f @ $false )
    | ~ ( f @ ( f @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

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

thf(zip_derived_cl2,plain,
    ( ( f @ x )
    | ( f @ ( f @ $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( x
    | ( f @ $false )
    | ( f @ ( f @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ( x
    | ( f @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( f @ ( f @ $true ) )
    | x ),
    inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl7]) ).

thf(zip_derived_cl42,plain,
    ( ~ ( f @ $true )
    | ~ ( f @ $true )
    | x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl43,plain,
    ( x
    | ~ ( f @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl37,plain,
    ( ~ x
    | ~ ( f @ $true )
    | ~ ( f @ ( f @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl38,plain,
    ( ~ x
    | ~ ( f @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl4,plain,
    ( ~ x
    | ( f @ $true )
    | ( f @ ( f @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( f @ $false )
    | ~ x
    | ( f @ $true )
    | ( f @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ( f @ $true )
    | ~ x
    | ~ ( f @ $false ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl5,plain,
    ( ( f @ $false )
    | ~ x
    | ( f @ $true )
    | ( f @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

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

thf(zip_derived_cl7_001,plain,
    ( x
    | ( f @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ( ( f @ $false )
    | ( f @ $true ) ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).

thf(zip_derived_cl24,plain,
    ( ~ x
    | ( f @ $true ) ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl39,plain,
    ~ x,
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl24]) ).

thf(zip_derived_cl47,plain,
    ~ ( f @ $true ),
    inference(clc,[status(thm)],[zip_derived_cl43,zip_derived_cl39]) ).

thf(zip_derived_cl41,plain,
    ( ( f @ $true )
    | ~ ( f @ $false )
    | x ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl7_002,plain,
    ( x
    | ( f @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl44,plain,
    ( x
    | ( f @ $true ) ),
    inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl7]) ).

thf(zip_derived_cl24_003,plain,
    ( ~ x
    | ( f @ $true ) ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).

thf(zip_derived_cl45,plain,
    f @ $true,
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl24]) ).

thf(zip_derived_cl50,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl45]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYO500^1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XuZXzIKS4g true
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 18:18:08 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.52/0.65  % Total configuration time : 828
% 0.52/0.65  % Estimated wc time : 1656
% 0.52/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73  % Solved by lams/40_c.s.sh.
% 0.53/0.73  % done 7 iterations in 0.010s
% 0.53/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.73  % SZS output start Refutation
% See solution above
% 0.53/0.73  
% 0.53/0.73  
% 0.53/0.73  % Terminating...
% 1.64/0.83  % Runner terminated.
% 1.64/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------