%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO500^1.007 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aogkuuGcsM true
% Computer : n006.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 110.99s 14.63s
% Output : Refutation 110.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 44 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1304 ( 4 equ; 0 cnn)
% Maximal formula atoms : 45 ( 29 avg)
% Number of connectives : 1267 ( 15 ~; 96 |; 0 &;1154 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 15 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 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(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(kaminski7,conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
<=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
<=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[kaminski7]) ).
thf(zip_derived_cl0,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
( ( ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(ext_eqfact,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl101,plain,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl103,plain,
( ( f0 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl345,plain,
( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(ext_eqfact,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl346,plain,
( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl345]) ).
thf(zip_derived_cl346_002,plain,
( ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl345]) ).
thf(zip_derived_cl1291,plain,
( ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false ) ),
inference(ext_eqfact,[status(thm)],[zip_derived_cl346]) ).
thf(zip_derived_cl1540,plain,
( ( ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
!= ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(ext_eqfact,[status(thm)],[zip_derived_cl1291]) ).
thf(zip_derived_cl1789,plain,
( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ~ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ~ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl1540]) ).
thf(zip_derived_cl1791,plain,
( ( f1 @ $true )
| ( f0 @ $false )
| ~ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ~ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1789]) ).
thf(zip_derived_cl1788,plain,
( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl1540]) ).
thf(zip_derived_cl1790,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1788]) ).
thf(zip_derived_cl103_003,plain,
( ( f0 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl1796,plain,
( ( f0 @ ( f0 @ ( f1 @ $true ) ) )
| ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f1 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false ) ),
inference('sup+',[status(thm)],[zip_derived_cl1790,zip_derived_cl103]) ).
thf(zip_derived_cl1816,plain,
( ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ $true ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1796]) ).
thf(zip_derived_cl1817,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ $true ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1816]) ).
thf(zip_derived_cl1790_004,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) )
| ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1788]) ).
thf(zip_derived_cl103_005,plain,
( ( f0 @ $false )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl0_006,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl343,plain,
( ( f0 @ $true )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl0]) ).
thf(zip_derived_cl352,plain,
( ( f0 @ $true )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl343]) ).
thf(zip_derived_cl352_007,plain,
( ( f0 @ $true )
| ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl343]) ).
thf(zip_derived_cl0_008,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_009,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
( ( ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ $true ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
( ( f0 @ ( f0 @ $true ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl310,plain,
( ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ $true ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl312,plain,
( ( f0 @ ( f0 @ $false ) )
| ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ $true ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl356,plain,
( ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| ( f0 @ ( f0 @ $true ) )
| ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ $false ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl312]) ).
thf(zip_derived_cl369,plain,
( ( f0 @ ( f0 @ $false ) )
| ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f0 @ $true ) )
| ( f0 @ $false )
| ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl370,plain,
( ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ $false )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl369]) ).
thf(zip_derived_cl0_010,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl380,plain,
( ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl0]) ).
thf(zip_derived_cl394,plain,
( ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl380]) ).
thf(zip_derived_cl405,plain,
( ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true ) ),
inference('sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl394]) ).
thf(zip_derived_cl418,plain,
( ( f0 @ $false )
| ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl100,plain,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl102,plain,
( ( f0 @ $true )
| ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ 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 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16041,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl346,zip_derived_cl1791,zip_derived_cl1817,zip_derived_cl1790,zip_derived_cl418,zip_derived_cl102,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO500^1.007 : TPTP v9.2.0. Released v4.1.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aogkuuGcsM true
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 17:54:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in HO mode
% 0.45/0.63 % Total configuration time : 828
% 0.45/0.63 % Estimated wc time : 1656
% 0.45/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.53/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 0.53/0.79 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.53/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 14.35/2.41 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 14.98/2.44 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 15.20/2.50 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 15.62/2.55 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 15.82/2.59 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
% 16.32/2.64 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
% 110.99/14.63 % Solved by lams/33_shallow_sine.sh.
% 110.99/14.63 % done 3155 iterations in 13.786s
% 110.99/14.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 110.99/14.63 % SZS output start Refutation
% See solution above
% 110.99/14.63
% 110.99/14.63
% 110.99/14.63 % Terminating...
% 111.34/14.77 % Runner terminated.
% 111.34/14.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------