%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC366+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kWF5rvgg8e true
% Computer : n021.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 04:59:31 PM UTC 2025
% Result : Theorem 0.47s 1.02s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 90 ( 32 unt; 0 typ; 0 def)
% Number of atoms : 336 ( 120 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 959 ( 216 ~; 180 |; 17 &; 497 @)
% ( 2 <=>; 18 =>; 29 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 86 !; 7 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= X1 )
& ( ( cons @ X1 @ nil )
= Z )
& ( ssItem @ X1 ) )
& ( ( app @ Z @ W )
= Y )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( rearsegP @ V @ U ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= X1 )
& ( ( cons @ X1 @ nil )
= Z )
& ( ssItem @ X1 ) )
& ( ( app @ Z @ W )
= Y )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( rearsegP @ V @ U ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl199,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__50 )
!= X1 )
| ~ ( neq @ nil @ sk__50 )
| ( ( app @ X2 @ sk__49 )
!= X0 )
| ~ ( ssList @ X2 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
( ~ ( neq @ nil @ sk__50 )
<= ~ ( neq @ nil @ sk__50 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl252,plain,
( ~ ( neq @ nil @ sk__48 )
<= ~ ( neq @ nil @ sk__50 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl205]) ).
thf(zip_derived_cl193,plain,
( ( neq @ sk__48 @ nil )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl457,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl199_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ( neq @ sk__48 @ nil )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
( ~ ( neq @ sk__50 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl251,plain,
( ~ ( neq @ sk__48 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl202]) ).
thf('0',plain,
neq @ sk__50 @ nil,
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl251]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl204,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__47 )
!= X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl192]) ).
thf(zip_derived_cl248,plain,
( ! [X0: $i,X1: $i] :
( ( ( app @ ( cons @ X0 @ nil ) @ sk__47 )
!= X1 )
| ( ( hd @ sk__50 )
!= X0 )
| ( sk__50 = X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl250,plain,
( ! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ ( app @ ( cons @ X0 @ nil ) @ sk__47 ) )
| ( sk__50
= ( app @ ( cons @ X0 @ nil ) @ sk__47 ) )
| ( ( hd @ sk__50 )
!= X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl597,plain,
( ! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssList @ sk__47 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( sk__50
= ( app @ ( cons @ X0 @ nil ) @ sk__47 ) )
| ( ( hd @ sk__50 )
!= X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl250]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_002,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl611,plain,
( ! [X0: $i] :
( ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( sk__48
= ( app @ ( cons @ X0 @ nil ) @ sk__47 ) )
| ( ( hd @ sk__48 )
!= X0 ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl190,zip_derived_cl199,zip_derived_cl199]) ).
thf(zip_derived_cl612,plain,
( ! [X0: $i] :
( ( ( hd @ sk__48 )
!= X0 )
| ( sk__48
= ( app @ ( cons @ X0 @ nil ) @ sk__47 ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl613,plain,
( ( ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ~ ( ssItem @ ( hd @ sk__48 ) )
| ( sk__48
= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) ) )
<= ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl612]) ).
thf(zip_derived_cl634,plain,
( ~ ( ssItem @ ( hd @ sk__48 ) )
<= ~ ( ssItem @ ( hd @ sk__48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl613]) ).
thf(zip_derived_cl638,plain,
( ( ~ ( ssList @ sk__48 )
| ( nil = sk__48 ) )
<= ~ ( ssItem @ ( hd @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl634]) ).
thf(zip_derived_cl200,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl320,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl639,plain,
( ( nil = sk__48 )
<= ~ ( ssItem @ ( hd @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl320]) ).
thf(zip_derived_cl457_005,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl459,plain,
( ~ ( ssList @ nil )
| ( sk__48 != nil )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl80]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl320_006,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl463,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl83,zip_derived_cl320]) ).
thf('1',plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl639,zip_derived_cl463]) ).
thf(zip_derived_cl636,plain,
( ( sk__48
= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) )
<= ( sk__48
= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl613]) ).
thf(ax6,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ W @ V )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X2 )
| ( rearsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl654,plain,
( ! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ( sk__48 != X0 )
| ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ( rearsegP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) )
<= ( sk__48
= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl636,zip_derived_cl17]) ).
thf(zip_derived_cl190_007,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl663,plain,
( ! [X0: $i] :
( ( sk__48 != X0 )
| ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ( rearsegP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) )
<= ( sk__48
= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl654,zip_derived_cl190]) ).
thf(zip_derived_cl678,plain,
( ! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ( rearsegP @ X0 @ sk__47 ) )
<= ! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ( rearsegP @ X0 @ sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl663]) ).
thf(zip_derived_cl197,plain,
( ~ ( rearsegP @ sk__48 @ sk__47 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
( ~ ( rearsegP @ sk__48 @ sk__47 )
<= ~ ( rearsegP @ sk__48 @ sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf('2',plain,
( ( neq @ sk__48 @ nil )
| ~ ( rearsegP @ sk__48 @ sk__47 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl198,plain,
( ~ ( rearsegP @ sk__48 @ sk__47 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ~ ( rearsegP @ sk__48 @ sk__47 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl251_008,plain,
( ~ ( neq @ sk__48 @ nil )
<= ~ ( neq @ sk__50 @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl202]) ).
thf(zip_derived_cl203,plain,
( ( neq @ sk__48 @ nil )
<= ( neq @ sk__48 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf('4',plain,
( ( neq @ sk__50 @ nil )
| ~ ( neq @ sk__48 @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl251,zip_derived_cl203]) ).
thf('5',plain,
~ ( rearsegP @ sk__48 @ sk__47 ),
inference('sat_resolution*',[status(thm)],['2','3','4']) ).
thf(zip_derived_cl284,plain,
~ ( rearsegP @ sk__48 @ sk__47 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl210,'5']) ).
thf(zip_derived_cl681,plain,
( ( ( sk__48 != sk__48 )
| ~ ( ssList @ sk__48 ) )
<= ! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ( rearsegP @ X0 @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl678,zip_derived_cl284]) ).
thf(zip_derived_cl320_009,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl683,plain,
( ( sk__48 != sk__48 )
<= ! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ( rearsegP @ X0 @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl681,zip_derived_cl320]) ).
thf('6',plain,
~ ! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ( rearsegP @ X0 @ sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl91_010,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl635,plain,
( ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
<= ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) ) ),
inference(split,[status(esa)],[zip_derived_cl613]) ).
thf(zip_derived_cl644,plain,
( ( ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__48 ) ) )
<= ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl635]) ).
thf(zip_derived_cl83_011,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl645,plain,
( ~ ( ssItem @ ( hd @ sk__48 ) )
<= ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl83]) ).
thf(zip_derived_cl648,plain,
( ( ~ ( ssList @ sk__48 )
| ( nil = sk__48 ) )
<= ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl645]) ).
thf(zip_derived_cl320_012,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl649,plain,
( ( nil = sk__48 )
<= ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl320]) ).
thf(zip_derived_cl463_013,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl83,zip_derived_cl320]) ).
thf('7',plain,
ssList @ ( cons @ ( hd @ sk__48 ) @ nil ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl649,zip_derived_cl463]) ).
thf('8',plain,
( ! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 != X0 )
| ( rearsegP @ X0 @ sk__47 ) )
| ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ( sk__48
!= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl663]) ).
thf('9',plain,
( ~ ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) )
| ( sk__48
= ( app @ ( cons @ ( hd @ sk__48 ) @ nil ) @ sk__47 ) )
| ~ ( ssList @ ( cons @ ( hd @ sk__48 ) @ nil ) )
| ~ ( ssItem @ ( hd @ sk__48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl613]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ( ( hd @ sk__50 )
!= X1 )
| ~ ( neq @ nil @ sk__50 )
| ( ( app @ X2 @ sk__49 )
!= X0 )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ~ ( neq @ nil @ sk__50 )
| ! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( cons @ X1 @ nil )
!= X2 )
| ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ( ( hd @ sk__50 )
!= X1 )
| ( ( app @ X2 @ sk__49 )
!= X0 ) )
| ~ ( neq @ sk__50 @ nil ) ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf('11',plain,
~ ( neq @ nil @ sk__50 ),
inference('sat_resolution*',[status(thm)],['0','1','6','7','8','9','10']) ).
thf(zip_derived_cl691,plain,
~ ( neq @ nil @ sk__48 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl252,'11']) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1328,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl81]) ).
thf(zip_derived_cl320_014,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl83_015,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1329,plain,
nil = sk__48,
inference(demod,[status(thm)],[zip_derived_cl1328,zip_derived_cl320,zip_derived_cl83]) ).
thf(zip_derived_cl463_016,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl459,zip_derived_cl83,zip_derived_cl320]) ).
thf(zip_derived_cl1330,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1329,zip_derived_cl463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWC366+1 : TPTP v9.2.0. Released v2.4.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kWF5rvgg8e true
% 0.10/0.31 % Computer : n021.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 17:16:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.15/0.32 % Python version: Python 3.6.8
% 0.15/0.32 % Running in FO mode
% 0.46/0.58 % Total configuration time : 435
% 0.46/0.58 % Estimated wc time : 1092
% 0.46/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/1.02 % Solved by fo/fo1_av.sh.
% 0.47/1.02 % done 367 iterations in 0.274s
% 0.47/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/1.02 % SZS output start Refutation
% See solution above
% 0.47/1.02
% 0.47/1.02
% 0.47/1.02 % Terminating...
% 2.51/1.18 % Runner terminated.
% 2.51/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------