TSTP Solution File: SYO500^1.005 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO500^1.005 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ww8lm58nIb true

% Computer : n001.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 : Fri Sep  1 05:51:45 EDT 2023

% Result   : Theorem 61.01s 8.59s
% Output   : Refutation 61.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   48 (   1 unt;   6 typ;   0 def)
%            Number of atoms       :  915 (   4 equ;   0 cnn)
%            Maximal formula atoms :   31 (  21 avg)
%            Number of connectives :  880 (  15   ~;  89   |;   0   &; 774   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  12 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f3_type,type,
    f3: $o > $o ).

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

thf(f1_type,type,
    f1: $o > $o ).

thf(f4_type,type,
    f4: $o > $o ).

thf(f2_type,type,
    f2: $o > $o ).

thf(f0_type,type,
    f0: $o > $o ).

thf(kaminski5,conjecture,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
  <=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    <=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[kaminski5]) ).

thf(zip_derived_cl0,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ( ( ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl101,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl103,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl245,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl246,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl245]) ).

thf(zip_derived_cl246_001,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl245]) ).

thf(zip_derived_cl1150,plain,
    ( ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl246]) ).

thf(zip_derived_cl1472,plain,
    ( ( ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) )
     != ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl1150]) ).

thf(zip_derived_cl1674,plain,
    ( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ~ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ~ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl1472]) ).

thf(zip_derived_cl1676,plain,
    ( ( f1 @ $true )
    | ( f0 @ $false )
    | ~ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ~ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1674]) ).

thf(zip_derived_cl0_002,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1673,plain,
    ( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl1472]) ).

thf(zip_derived_cl1675,plain,
    ( ( f1 @ $false )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1673]) ).

thf(zip_derived_cl103_003,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl1681,plain,
    ( ( f0 @ ( f0 @ ( f1 @ $true ) ) )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl103]) ).

thf(zip_derived_cl1701,plain,
    ( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f1 @ $false )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ $true ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1681]) ).

thf(zip_derived_cl1702,plain,
    ( ( f1 @ $false )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ $true ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1701]) ).

thf(zip_derived_cl103_004,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).

thf(zip_derived_cl0_005,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl241,plain,
    ( ( f0 @ $true )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl0]) ).

thf(zip_derived_cl258,plain,
    ( ( f0 @ $true )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl258_006,plain,
    ( ( f0 @ $true )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl0_007,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_008,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ $true )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl18,plain,
    ( ( f0 @ $true )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl114,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl116,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl266,plain,
    ( ( f0 @ $true )
    | ( f0 @ $false )
    | ( f0 @ $true )
    | ( f0 @ $true )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference('sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl116]) ).

thf(zip_derived_cl280,plain,
    ( ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f0 @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl266]) ).

thf(zip_derived_cl0_009,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl293,plain,
    ( ( f0 @ ( f0 @ ( f0 @ $true ) ) )
    | ( f0 @ $true )
    | ( f0 @ $false )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl280,zip_derived_cl0]) ).

thf(zip_derived_cl307,plain,
    ( ( f0 @ $true )
    | ( f0 @ $false )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl293]) ).

thf(zip_derived_cl318,plain,
    ( ( f0 @ $true )
    | ( f0 @ $false )
    | ( f0 @ $true )
    | ( f0 @ $false )
    | ( f0 @ $true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl307]) ).

thf(zip_derived_cl331,plain,
    ( ( f0 @ $false )
    | ( f0 @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl318]) ).

thf(zip_derived_cl100,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) )
    | ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ~ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl102,plain,
    ( ( f0 @ $true )
    | ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) )
    | ~ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ x ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22892,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl246,zip_derived_cl1676,zip_derived_cl0,zip_derived_cl1702,zip_derived_cl331,zip_derived_cl102,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO500^1.005 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ww8lm58nIb true
% 0.17/0.34  % Computer : n001.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sat Aug 26 07:15:15 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 0.21/0.79  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.21/0.83  % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 6.03/1.51  % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 6.03/1.61  % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 8.88/1.74  % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 8.96/1.77  % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 8.96/1.80  % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
% 9.47/1.83  % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
% 61.01/8.59  % Solved by lams/33_shallow_sine.sh.
% 61.01/8.59  % done 4067 iterations in 7.754s
% 61.01/8.59  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 61.01/8.59  % SZS output start Refutation
% See solution above
% 61.01/8.59  
% 61.01/8.59  
% 61.01/8.59  % Terminating...
% 61.29/8.79  % Runner terminated.
% 61.29/8.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------