%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC062+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.7g6eG0HxoU true
% Computer : n009.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 04:58:27 PM UTC 2025
% Result : Theorem 182.21s 26.70s
% Output : Refutation 182.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 16
% Syntax : Number of formulae : 244 ( 74 unt; 0 typ; 0 def)
% Number of atoms : 829 ( 287 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 2383 ( 502 ~; 527 |; 20 &;1296 @)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 273 ( 0 ^; 263 !; 10 ?; 273 :)
% 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(tl_type,type,
tl: $i > $i ).
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__44_type,type,
sk__44: $i > $i ).
thf(sk__43_type,type,
sk__43: $i > $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl2026,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( sk__44 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__44 @ X0 ) )
| ~ ( ssList @ ( sk__43 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl92]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl11244,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2026,zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( ssList @ ( sk__43 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl11245,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ X0 )
= ( sk__44 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11244,zip_derived_cl89]) ).
thf(zip_derived_cl87_001,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(ax27,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl2070,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2077,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2070,zip_derived_cl83]) ).
thf(zip_derived_cl2078,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2077]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ? [Y: $i] :
( ? [Z: $i] :
( ( ( app @ ( cons @ Y @ nil ) @ Z )
= X )
& ( ( app @ Z @ ( cons @ Y @ nil ) )
!= W )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X1: $i] :
( ( segmentP @ U @ X1 )
& ( segmentP @ V @ X1 )
& ( neq @ X1 @ nil )
& ( ssList @ X1 ) ) ) ) ) ) ) ) ) ).
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 )
| ? [Y: $i] :
( ? [Z: $i] :
( ( ( app @ ( cons @ Y @ nil ) @ Z )
= X )
& ( ( app @ Z @ ( cons @ Y @ nil ) )
!= W )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ~ ( neq @ V @ nil )
| ? [X1: $i] :
( ( segmentP @ U @ X1 )
& ( segmentP @ V @ X1 )
& ( neq @ X1 @ nil )
& ( ssList @ X1 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl198,plain,
! [X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ X1 @ ( cons @ X2 @ nil ) )
= sk__49 )
| ( ( app @ ( cons @ X2 @ nil ) @ X1 )
!= sk__50 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3217,plain,
! [X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ X1 @ ( cons @ X2 @ nil ) )
= sk__47 )
| ( ( app @ ( cons @ X2 @ nil ) @ X1 )
!= sk__48 )
| ~ ( ssItem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl196,zip_derived_cl199]) ).
thf(zip_derived_cl3221,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2078,zip_derived_cl3217]) ).
thf(zip_derived_cl3226,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3221]) ).
thf(zip_derived_cl87_002,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
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_cl87_003,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl89_004,plain,
! [X0: $i] :
( ( ssList @ ( sk__43 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl88_005,plain,
! [X0: $i] :
( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3226_006,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3221]) ).
thf(ax79,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ W @ V )
= ( app @ U @ V ) )
=> ( W = U ) ) ) ) ) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= ( app @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax79]) ).
thf(zip_derived_cl5373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X2 )
!= sk__48 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( sk__47
!= ( app @ X1 @ ( cons @ X0 @ nil ) ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3226,zip_derived_cl169]) ).
thf(zip_derived_cl5490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( X2 = X1 )
| ( sk__47
!= ( app @ X1 @ ( cons @ X0 @ nil ) ) )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( cons @ X0 @ X2 )
!= sk__48 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5373]) ).
thf(zip_derived_cl10064,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ X1 )
| ( ( sk__43 @ X0 )
= X1 )
| ( sk__47
!= ( app @ X1 @ ( cons @ ( sk__44 @ X0 ) @ nil ) ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ X0 ) @ nil ) )
| ( X0 != sk__48 )
| ~ ( ssItem @ ( sk__44 @ X0 ) )
| ~ ( ssList @ ( sk__43 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl5490]) ).
thf(zip_derived_cl58410,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl10064]) ).
thf(zip_derived_cl200,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_007,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1581,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl58411,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl58410,zip_derived_cl1581]) ).
thf(zip_derived_cl194,plain,
( ( nil != sk__47 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl1524,plain,
( ( nil != sk__47 )
| ~ ( ssList @ sk__48 )
| ( sk__48 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl194,zip_derived_cl80]) ).
thf(zip_derived_cl1581_008,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl83_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1584,plain,
( ( nil != sk__47 )
| ( sk__48 != nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1524,zip_derived_cl1581,zip_derived_cl83]) ).
thf(zip_derived_cl197,plain,
( ( nil = sk__49 )
| ( nil != sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_010,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1578,plain,
( ( nil = sk__47 )
| ( nil != sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).
thf(zip_derived_cl199_011,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1579,plain,
( ( nil = sk__47 )
| ( nil != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1578,zip_derived_cl199]) ).
thf(zip_derived_cl1585,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl58412,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58411,zip_derived_cl1585]) ).
thf(zip_derived_cl58867,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl58412]) ).
thf(zip_derived_cl1581_012,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl58869,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl58867,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_013,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl58870,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58869,zip_derived_cl1585]) ).
thf(zip_derived_cl58967,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl58870]) ).
thf(zip_derived_cl1581_014,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl58969,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl58967,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_015,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl58970,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58969,zip_derived_cl1585]) ).
thf(zip_derived_cl59956,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl58970]) ).
thf(zip_derived_cl83_016,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl59958,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl59956,zip_derived_cl83]) ).
thf(zip_derived_cl60070,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl59958]) ).
thf(zip_derived_cl1581_017,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl60072,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl60070,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_018,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl60073,plain,
! [X0: $i] :
( ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl60072,zip_derived_cl1585]) ).
thf(zip_derived_cl62368,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( ( cons @ ( sk__44 @ sk__48 ) @ X0 )
!= sk__48 )
| ( sk__47 != sk__47 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3226,zip_derived_cl60073]) ).
thf(zip_derived_cl62405,plain,
! [X0: $i] :
( ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( sk__44 @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl62368]) ).
thf(zip_derived_cl70278,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( sk__44 @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl62405]) ).
thf(zip_derived_cl1581_019,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl70280,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( sk__44 @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl70278,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_020,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl70281,plain,
! [X0: $i] :
( ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( sk__44 @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70280,zip_derived_cl1585]) ).
thf(zip_derived_cl70308,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11245,zip_derived_cl70281]) ).
thf(zip_derived_cl1581_021,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl70311,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl70308,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_022,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl70312,plain,
! [X0: $i] :
( ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70311,zip_derived_cl1585]) ).
thf(zip_derived_cl70315,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl70312]) ).
thf(zip_derived_cl1581_023,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl70316,plain,
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70315,zip_derived_cl1581]) ).
thf(zip_derived_cl70317,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70316]) ).
thf(zip_derived_cl1585_024,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl70318,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70317,zip_derived_cl1585]) ).
thf(zip_derived_cl70319,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl70318]) ).
thf(zip_derived_cl1581_025,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl70320,plain,
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70319,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_026,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl70321,plain,
( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70320,zip_derived_cl1585]) ).
thf(zip_derived_cl88_027,plain,
! [X0: $i] :
( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl70331,plain,
( ( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70321,zip_derived_cl88]) ).
thf(zip_derived_cl1581_028,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl70341,plain,
( ( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl70331,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_029,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl70342,plain,
( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70341,zip_derived_cl1585]) ).
thf(zip_derived_cl2078_030,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2077]) ).
thf(zip_derived_cl96_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl82_032,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl3226_033,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3221]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl5422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ ( app @ X3 @ X2 ) )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ ( app @ X3 @ X2 ) )
!= sk__48 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ( sk__47 != X0 )
| ~ ( ssList @ X3 )
| ( segmentP @ X0 @ X2 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3226,zip_derived_cl21]) ).
thf(zip_derived_cl8725,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ sk__47 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ ( cons @ X2 @ nil ) )
| ~ ( ssList @ X0 )
| ( ( cons @ X2 @ ( app @ X1 @ X0 ) )
!= sk__48 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5422]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ ( cons @ X2 @ nil ) )
| ~ ( ssList @ X0 )
| ( ( cons @ X2 @ ( app @ X1 @ X0 ) )
!= sk__48 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8725,zip_derived_cl190]) ).
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_cl21398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X2 )
| ( ( cons @ X2 @ ( app @ X1 @ X0 ) )
!= sk__48 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ X2 @ nil ) )
| ~ ( ssList @ X1 )
| ( segmentP @ sk__47 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl8726,zip_derived_cl95]) ).
thf(zip_derived_cl21399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ ( app @ X2 @ X1 ) )
!= sk__48 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( segmentP @ sk__47 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl21398]) ).
thf(zip_derived_cl83_034,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl21402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ ( app @ X2 @ X1 ) )
!= sk__48 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( segmentP @ sk__47 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl21399,zip_derived_cl83]) ).
thf(zip_derived_cl21403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( segmentP @ sk__47 @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ( ( cons @ X0 @ ( app @ X2 @ X1 ) )
!= sk__48 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21402]) ).
thf(zip_derived_cl21414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ X1 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X2 @ X1 ) @ X0 )
!= sk__48 )
| ~ ( ssItem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl21403]) ).
thf(zip_derived_cl21461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ ( cons @ X2 @ X1 ) @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21414]) ).
thf(zip_derived_cl21690,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2078,zip_derived_cl21461]) ).
thf(zip_derived_cl83_035,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl21712,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21690,zip_derived_cl83]) ).
thf(zip_derived_cl21713,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ sk__47 @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21712]) ).
thf(zip_derived_cl70704,plain,
( ( segmentP @ sk__47 @ ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70342,zip_derived_cl21713]) ).
thf(zip_derived_cl70321_036,plain,
( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70320,zip_derived_cl1585]) ).
thf(zip_derived_cl89_037,plain,
! [X0: $i] :
( ( ssList @ ( sk__43 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl70332,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70321,zip_derived_cl89]) ).
thf(zip_derived_cl1581_038,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl70343,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl70332,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_039,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl70344,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70343,zip_derived_cl1585]) ).
thf(zip_derived_cl71288,plain,
( ( segmentP @ sk__47 @ ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70704,zip_derived_cl70344]) ).
thf(zip_derived_cl71289,plain,
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( segmentP @ sk__47 @ ( tl @ sk__48 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl71288]) ).
thf(zip_derived_cl87_040,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl70342_041,plain,
( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70341,zip_derived_cl1585]) ).
thf(zip_derived_cl92_042,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl70505,plain,
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70342,zip_derived_cl92]) ).
thf(zip_derived_cl70344_043,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70343,zip_derived_cl1585]) ).
thf(zip_derived_cl71025,plain,
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70505,zip_derived_cl70344]) ).
thf(zip_derived_cl71896,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl71025]) ).
thf(zip_derived_cl1581_044,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl71898,plain,
( ( nil = sk__48 )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71896,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_045,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl71899,plain,
( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl71898,zip_derived_cl1585]) ).
thf(zip_derived_cl71899_046,plain,
( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl71898,zip_derived_cl1585]) ).
thf(zip_derived_cl87_047,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl72235,plain,
( ( ssItem @ ( hd @ sk__48 ) )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl71899,zip_derived_cl87]) ).
thf(zip_derived_cl1581_048,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl72243,plain,
( ( ssItem @ ( hd @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl72235,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_049,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl72244,plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl72243,zip_derived_cl1585]) ).
thf(zip_derived_cl76154,plain,
segmentP @ sk__47 @ ( tl @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl71289,zip_derived_cl71899,zip_derived_cl72244]) ).
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_cl193,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1513,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( segmentP @ sk__47 @ X0 )
| ( nil = sk__48 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl193]) ).
thf(zip_derived_cl2393,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1513]) ).
thf(zip_derived_cl83_050,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2394,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2393,zip_derived_cl83]) ).
thf(zip_derived_cl1585_051,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl2395,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2394,zip_derived_cl1585]) ).
thf(zip_derived_cl76158,plain,
( ~ ( segmentP @ sk__48 @ ( tl @ sk__48 ) )
| ( ( tl @ sk__48 )
= nil )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76154,zip_derived_cl2395]) ).
thf(zip_derived_cl70342_052,plain,
( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70341,zip_derived_cl1585]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl96_053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl2065,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl96]) ).
thf(zip_derived_cl83_054,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2074,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2065,zip_derived_cl83]) ).
thf(zip_derived_cl2075,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2074]) ).
thf(zip_derived_cl82_055,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl2078_056,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2077]) ).
thf(zip_derived_cl21_057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X3 )
| ( ( app @ ( cons @ X1 @ X0 ) @ X3 )
!= X2 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2078,zip_derived_cl21]) ).
thf(zip_derived_cl2375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ( ( app @ ( cons @ X1 @ X0 ) @ X3 )
!= X2 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2348]) ).
thf(zip_derived_cl2477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X2 )
| ( ( app @ ( cons @ X0 @ X2 ) @ X3 )
!= X1 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2375]) ).
thf(zip_derived_cl83_058,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X2 )
| ( ( app @ ( cons @ X0 @ X2 ) @ X3 )
!= X1 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2477,zip_derived_cl83]) ).
thf(zip_derived_cl2479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssList @ X3 )
| ( ( app @ ( cons @ X0 @ X2 ) @ X3 )
!= X1 )
| ( segmentP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2478]) ).
thf(zip_derived_cl6814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( cons @ X1 @ X0 )
!= X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2075,zip_derived_cl2479]) ).
thf(zip_derived_cl83_059,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6814,zip_derived_cl83]) ).
thf(zip_derived_cl6885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( segmentP @ X2 @ X0 )
| ( ( cons @ X1 @ X0 )
!= X2 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6884]) ).
thf(zip_derived_cl6919,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( segmentP @ ( cons @ X1 @ X0 ) @ X0 )
| ~ ( ssList @ ( cons @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6885]) ).
thf(zip_derived_cl82_060,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl9767,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ ( cons @ X1 @ X0 ) @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6919,zip_derived_cl82]) ).
thf(zip_derived_cl70687,plain,
( ( segmentP @ sk__48 @ ( tl @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70342,zip_derived_cl9767]) ).
thf(zip_derived_cl70344_061,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70343,zip_derived_cl1585]) ).
thf(zip_derived_cl71266,plain,
( ( segmentP @ sk__48 @ ( tl @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70687,zip_derived_cl70344]) ).
thf(zip_derived_cl71899_062,plain,
( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl71898,zip_derived_cl1585]) ).
thf(zip_derived_cl72244_063,plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl72243,zip_derived_cl1585]) ).
thf(zip_derived_cl76075,plain,
segmentP @ sk__48 @ ( tl @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl71266,zip_derived_cl71899,zip_derived_cl72244]) ).
thf(zip_derived_cl70344_064,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70343,zip_derived_cl1585]) ).
thf(zip_derived_cl76162,plain,
( ( tl @ sk__48 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl76158,zip_derived_cl76075,zip_derived_cl70344]) ).
thf(zip_derived_cl168_065,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl76205,plain,
( ( nil = sk__48 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl76162,zip_derived_cl168]) ).
thf(zip_derived_cl1581_066,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl76254,plain,
( ( nil = sk__48 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl76205,zip_derived_cl1581]) ).
thf(zip_derived_cl1585_067,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl76255,plain,
( ( cons @ ( hd @ sk__48 ) @ nil )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl76254,zip_derived_cl1585]) ).
thf(zip_derived_cl3226_068,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3221]) ).
thf(zip_derived_cl176_069,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(ax82,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( app @ X1 @ X0 ) @ X2 )
= ( app @ X1 @ ( app @ X0 @ X2 ) ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax82]) ).
thf(zip_derived_cl21_070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X2 @ ( app @ X1 @ X0 ) )
!= X3 )
| ~ ( ssList @ X2 )
| ( segmentP @ X3 @ X1 )
| ~ ( ssList @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl21]) ).
thf(zip_derived_cl2914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X3 )
| ( segmentP @ X3 @ X1 )
| ( ( app @ X2 @ ( app @ X1 @ X0 ) )
!= X3 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2855]) ).
thf(zip_derived_cl2965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl2914]) ).
thf(zip_derived_cl83_071,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2981,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2965,zip_derived_cl83]) ).
thf(zip_derived_cl2982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2981]) ).
thf(zip_derived_cl5374,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X2 )
!= sk__48 )
| ~ ( ssList @ X2 )
| ( sk__47 != X0 )
| ( segmentP @ X0 @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3226,zip_derived_cl2982]) ).
thf(zip_derived_cl5491,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ ( cons @ X1 @ nil ) )
| ( sk__47 != X0 )
| ( ( cons @ X1 @ X2 )
!= sk__48 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5374]) ).
thf(zip_derived_cl10070,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ sk__47 )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5491]) ).
thf(zip_derived_cl190_072,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10071,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10070,zip_derived_cl190]) ).
thf(zip_derived_cl76947,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__48 ) )
| ( sk__48 != sk__48 )
| ( segmentP @ sk__47 @ sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76255,zip_derived_cl10071]) ).
thf(zip_derived_cl83_073,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl72244_074,plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl72243,zip_derived_cl1585]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl192,plain,
( ( nil = sk__48 )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193_075,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1519,plain,
! [X0: $i] :
( ( sk__48 != X0 )
| ( nil != nil )
| ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( segmentP @ sk__47 @ X0 )
| ( nil = sk__48 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl192,zip_derived_cl193]) ).
thf(zip_derived_cl1664,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 )
| ( sk__48 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1519]) ).
thf(zip_derived_cl1585_076,plain,
sk__48 != nil,
inference(clc,[status(thm)],[zip_derived_cl1584,zip_derived_cl1579]) ).
thf(zip_derived_cl1665,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ X0 )
| ( sk__48 != X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1664,zip_derived_cl1585]) ).
thf(zip_derived_cl1666,plain,
( ~ ( ssList @ sk__48 )
| ~ ( segmentP @ sk__48 @ sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1665]) ).
thf(zip_derived_cl1581_077,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1667,plain,
( ~ ( segmentP @ sk__48 @ sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1666,zip_derived_cl1581]) ).
thf(zip_derived_cl1668,plain,
( ~ ( ssList @ sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl1667]) ).
thf(zip_derived_cl1581_078,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1669,plain,
~ ( segmentP @ sk__47 @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl1668,zip_derived_cl1581]) ).
thf(zip_derived_cl1581_079,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl78437,plain,
sk__48 != sk__48,
inference(demod,[status(thm)],[zip_derived_cl76947,zip_derived_cl83,zip_derived_cl72244,zip_derived_cl1669,zip_derived_cl1581]) ).
thf(zip_derived_cl78438,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl78437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC062+1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7g6eG0HxoU true
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:10:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 182.21/26.70 % Solved by fo/fo6_bce.sh.
% 182.21/26.70 % BCE start: 202
% 182.21/26.70 % BCE eliminated: 2
% 182.21/26.70 % PE start: 200
% 182.21/26.70 logic: eq
% 182.21/26.70 % PE eliminated: 4
% 182.21/26.70 % done 6725 iterations in 25.969s
% 182.21/26.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 182.21/26.70 % SZS output start Refutation
% See solution above
% 182.21/26.71
% 182.21/26.71
% 182.21/26.71 % Terminating...
% 183.25/26.81 % Runner terminated.
% 183.25/26.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------