TSTP Solution File: SYO500^1.008 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO500^1.008 : 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.suCy7Sx854 true

% Computer : n031.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 91.34s 12.33s
% Output   : Refutation 91.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   52 (   1 unt;   9 typ;   0 def)
%            Number of atoms       : 1486 (   5 equ;   0 cnn)
%            Maximal formula atoms :   49 (  34 avg)
%            Number of connectives : 1449 (  16   ~;  91   |;   0   &;1340   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (  17 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 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(f7_type,type,
    f7: $o > $o ).

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

thf(f5_type,type,
    f5: $o > $o ).

thf(f6_type,type,
    f6: $o > $o ).

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

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

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

thf(kaminski8,conjecture,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
  <=> ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    <=> ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[kaminski8]) ).

thf(zip_derived_cl0,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ( ( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
     != ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl79,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl81,plain,
    ( ( f0 @ $false )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl90,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl81]) ).

thf(zip_derived_cl91,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl150,plain,
    ( ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl418,plain,
    ( ( ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl419,plain,
    ( ( ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl418]) ).

thf(zip_derived_cl606,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl419]) ).

thf(zip_derived_cl608,plain,
    ( ( f0 @ $false )
    | ( f1 @ $false )
    | ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl606]) ).

thf(zip_derived_cl0_001,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl617,plain,
    ( ( f0 @ ( f1 @ $true ) )
    | ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ $false )
    | ( f0 @ $false )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl608,zip_derived_cl0]) ).

thf(zip_derived_cl641,plain,
    ( ( f0 @ ( f1 @ $true ) )
    | ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ $false )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl617]) ).

thf(zip_derived_cl607,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl419]) ).

thf(zip_derived_cl609,plain,
    ( ( f0 @ $false )
    | ( f1 @ $true )
    | ~ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl607]) ).

thf(zip_derived_cl91_002,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl78,plain,
    ( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl80,plain,
    ( ( f0 @ $true )
    | ~ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl150_003,plain,
    ( ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl0_004,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_005,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl16,plain,
    ( ( f0 @ $true )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
     != ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl48,plain,
    ( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl50,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl52,plain,
    ( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl55,plain,
    ( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true )
    | ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl50_006,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl59,plain,
    ( ( f0 @ $true )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f0 @ $true )
    | ( f0 @ $true )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl50]) ).

thf(zip_derived_cl67,plain,
    ( ( f0 @ $false )
    | ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $true ) ),
    inference(simplify,[status(thm)],[zip_derived_cl59]) ).

thf(zip_derived_cl81_007,plain,
    ( ( f0 @ $false )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl0_008,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl89,plain,
    ( ( f0 @ $true )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl0]) ).

thf(zip_derived_cl95,plain,
    ( ( f0 @ $true )
    | ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ $false ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl99,plain,
    ( ( f0 @ ( f0 @ $true ) )
    | ( f0 @ $true )
    | ( f0 @ $false )
    | ( f0 @ $false )
    | ( f0 @ $true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl67,zip_derived_cl95]) ).

thf(zip_derived_cl106,plain,
    ( ( f0 @ $false )
    | ( f0 @ $true )
    | ( f0 @ ( f0 @ $true ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl107,plain,
    ( ( f0 @ $false )
    | ( f0 @ $true ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl1,plain,
    ( ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_009,plain,
    ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ ( f7 @ ( f7 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
    | ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ ( f7 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23802,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl641,zip_derived_cl609,zip_derived_cl91,zip_derived_cl80,zip_derived_cl150,zip_derived_cl107,zip_derived_cl1,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO500^1.008 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.suCy7Sx854 true
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 06:16:07 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.80/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.80/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.48/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.48/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.48/0.80  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.48/0.81  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.48/0.81  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.53/0.84  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 1.59/0.85  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 1.59/0.87  % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 8.19/1.65  % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 8.46/1.68  % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 8.46/1.71  % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 8.88/1.74  % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 9.04/1.77  % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
% 9.04/1.80  % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
% 91.34/12.33  % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s
% 91.34/12.33  % Solved by lams/33_shallow_sine.sh.
% 91.34/12.33  % done 4132 iterations in 11.415s
% 91.34/12.33  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 91.34/12.33  % SZS output start Refutation
% See solution above
% 91.34/12.33  
% 91.34/12.33  
% 91.34/12.33  % Terminating...
% 91.34/12.40  % Runner terminated.
% 91.34/12.41  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------