%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC382+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.nyjQZIKQv5 true
% Computer : n010.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 04:59:35 PM UTC 2025
% Result : Theorem 8.71s 1.84s
% Output : Refutation 8.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 18
% Syntax : Number of formulae : 227 ( 91 unt; 0 typ; 0 def)
% Number of atoms : 595 ( 249 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 1519 ( 291 ~; 306 |; 19 &; 860 @)
% ( 3 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 160 ( 0 ^; 151 !; 9 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(singletonP_type,type,
singletonP: $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
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] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= Z )
& ( ( cons @ Z @ nil )
= Y )
& ( ssItem @ Z ) )
& ( W != Y )
& ( ssList @ Y ) )
| ( ( singletonP @ U )
& ( segmentP @ 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] :
( ( neq @ nil @ X )
& ( ( hd @ X )
= Z )
& ( ( cons @ Z @ nil )
= Y )
& ( ssItem @ Z ) )
& ( W != Y )
& ( ssList @ Y ) )
| ( ( singletonP @ U )
& ( segmentP @ V @ U ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__21 = X0 )
| ~ ( neq @ nil @ sk__22 )
| ( ( hd @ sk__22 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ~ ( neq @ sk__22 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
sk__19 = sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106_001,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106_002,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ( neq @ sk__20 @ nil )
| ( neq @ sk__20 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl793,plain,
neq @ sk__20 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl1455,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__19 = X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X1 )
| ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl99,zip_derived_cl106,zip_derived_cl106,zip_derived_cl106,zip_derived_cl793]) ).
thf(zip_derived_cl1456,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ( sk__19
= ( cons @ X0 @ nil ) )
| ~ ( ssList @ ( cons @ X0 @ nil ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1455]) ).
thf(zip_derived_cl1458,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ( sk__19
= ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl1456]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl31,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1459,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__19
= ( cons @ X0 @ nil ) )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl31]) ).
thf(zip_derived_cl1460,plain,
! [X0: $i] :
( ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ( sk__19
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1459]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl1471,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
= X0 )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1460,zip_derived_cl40]) ).
thf(zip_derived_cl31_003,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1508,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
= X0 )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1471,zip_derived_cl31]) ).
thf(zip_derived_cl1509,plain,
! [X0: $i] :
( ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1508]) ).
thf(zip_derived_cl1633,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 )
| ( ( hd @ sk__19 )
= X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1509]) ).
thf(zip_derived_cl31_004,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl107,plain,
ssList @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106_005,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl770,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl1635,plain,
! [X0: $i] :
( ( nil = sk__20 )
| ( ( hd @ sk__19 )
= X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1633,zip_derived_cl31,zip_derived_cl770]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl793_006,plain,
neq @ sk__20 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl797,plain,
( ~ ( ssList @ sk__20 )
| ( sk__20 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl793]) ).
thf(zip_derived_cl770_007,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl31_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl799,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl1636,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
= X0 )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1635,zip_derived_cl799]) ).
thf(zip_derived_cl1637,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ sk__20 )
!= ( hd @ X0 ) )
| ( ( hd @ sk__19 )
= ( hd @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1636]) ).
thf(zip_derived_cl1656,plain,
( ( ( hd @ sk__19 )
= ( hd @ sk__20 ) )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1637]) ).
thf(zip_derived_cl770_009,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl1657,plain,
( ( ( hd @ sk__19 )
= ( hd @ sk__20 ) )
| ( nil = sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1656,zip_derived_cl770]) ).
thf(zip_derived_cl799_010,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl1658,plain,
( ( hd @ sk__19 )
= ( hd @ sk__20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1657,zip_derived_cl799]) ).
thf(zip_derived_cl39_011,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl1668,plain,
( ( ssItem @ ( hd @ sk__19 ) )
| ~ ( ssList @ sk__20 )
| ( nil = sk__20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1658,zip_derived_cl39]) ).
thf(zip_derived_cl770_012,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl1674,plain,
( ( ssItem @ ( hd @ sk__19 ) )
| ( nil = sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1668,zip_derived_cl770]) ).
thf(zip_derived_cl799_013,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl1675,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl29_014,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1460_015,plain,
! [X0: $i] :
( ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ( sk__19
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1459]) ).
thf(ax25,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl1472,plain,
! [X0: $i] :
( ( ( tl @ sk__19 )
= nil )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1460,zip_derived_cl42]) ).
thf(zip_derived_cl31_016,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1510,plain,
! [X0: $i] :
( ( ( tl @ sk__19 )
= nil )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1472,zip_derived_cl31]) ).
thf(zip_derived_cl1511,plain,
! [X0: $i] :
( ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ~ ( ssItem @ X0 )
| ( ( tl @ sk__19 )
= nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl1510]) ).
thf(zip_derived_cl1658_017,plain,
( ( hd @ sk__19 )
= ( hd @ sk__20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1657,zip_derived_cl799]) ).
thf(zip_derived_cl1802,plain,
! [X0: $i] :
( ( ( hd @ sk__19 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ~ ( ssItem @ X0 )
| ( ( tl @ sk__19 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl1511,zip_derived_cl1658]) ).
thf(zip_derived_cl1804,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 )
| ( ( tl @ sk__19 )
= nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1802]) ).
thf(zip_derived_cl31_018,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl770_019,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl1806,plain,
! [X0: $i] :
( ( nil = sk__20 )
| ( ( tl @ sk__19 )
= nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1804,zip_derived_cl31,zip_derived_cl770]) ).
thf(zip_derived_cl799_020,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl1807,plain,
! [X0: $i] :
( ( ( tl @ sk__19 )
= nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__19 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1806,zip_derived_cl799]) ).
thf(zip_derived_cl1818,plain,
( ( ( hd @ sk__19 )
!= ( hd @ sk__19 ) )
| ( ( tl @ sk__19 )
= nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl1675,zip_derived_cl1807]) ).
thf(zip_derived_cl1828,plain,
( ( tl @ sk__19 )
= nil ),
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl1831,plain,
( ( ( cons @ ( hd @ sk__19 ) @ nil )
= sk__19 )
| ~ ( ssList @ sk__19 )
| ( nil = sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl80]) ).
thf(zip_derived_cl97,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1839,plain,
( ( ( cons @ ( hd @ sk__19 ) @ nil )
= sk__19 )
| ( nil = sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl1831,zip_derived_cl97]) ).
thf(zip_derived_cl39_021,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl29_022,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1460_023,plain,
! [X0: $i] :
( ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ( sk__19
= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1459]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl1469,plain,
! [X0: $i] :
( ( sk__19 != nil )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1460,zip_derived_cl32]) ).
thf(zip_derived_cl31_024,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1504,plain,
! [X0: $i] :
( ( sk__19 != nil )
| ~ ( ssItem @ X0 )
| ~ ( neq @ nil @ sk__20 )
| ( ( hd @ sk__20 )
!= X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1469,zip_derived_cl31]) ).
thf(zip_derived_cl1505,plain,
! [X0: $i] :
( ( ( hd @ sk__20 )
!= X0 )
| ~ ( neq @ nil @ sk__20 )
| ~ ( ssItem @ X0 )
| ( sk__19 != nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl1504]) ).
thf(zip_derived_cl1540,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 )
| ( sk__19 != nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl1505]) ).
thf(zip_derived_cl31_025,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl770_026,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl1542,plain,
! [X0: $i] :
( ( nil = sk__20 )
| ( sk__19 != nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1540,zip_derived_cl31,zip_derived_cl770]) ).
thf(zip_derived_cl799_027,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl1543,plain,
! [X0: $i] :
( ( sk__19 != nil )
| ~ ( ssItem @ X0 )
| ( ( hd @ sk__20 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1542,zip_derived_cl799]) ).
thf(zip_derived_cl1544,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ sk__20 )
!= ( hd @ X0 ) )
| ( sk__19 != nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1543]) ).
thf(zip_derived_cl1556,plain,
( ( sk__19 != nil )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1544]) ).
thf(zip_derived_cl770_028,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl1557,plain,
( ( sk__19 != nil )
| ( nil = sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1556,zip_derived_cl770]) ).
thf(zip_derived_cl799_029,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl1558,plain,
sk__19 != nil,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1557,zip_derived_cl799]) ).
thf(zip_derived_cl1840,plain,
( ( cons @ ( hd @ sk__19 ) @ nil )
= sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1839,zip_derived_cl1558]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl1874,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__19 ) @ X0 )
= ( app @ sk__19 @ X0 ) )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ ( hd @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1840,zip_derived_cl83]) ).
thf(zip_derived_cl1675_030,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl1905,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__19 ) @ X0 )
= ( app @ sk__19 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1874,zip_derived_cl1675]) ).
thf(zip_derived_cl1658_031,plain,
( ( hd @ sk__19 )
= ( hd @ sk__20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1657,zip_derived_cl799]) ).
thf(zip_derived_cl83_032,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl80_033,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl892,plain,
! [X0: $i] :
( ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ ( tl @ X0 ) )
| ~ ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl80]) ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3137,plain,
! [X0: $i] :
( ( nil = X0 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl892,zip_derived_cl41]) ).
thf(zip_derived_cl39_034,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl3138,plain,
! [X0: $i] :
( ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3137,zip_derived_cl39]) ).
thf(zip_derived_cl3179,plain,
( ( ( app @ ( cons @ ( hd @ sk__19 ) @ nil ) @ ( tl @ sk__20 ) )
= sk__20 )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1658,zip_derived_cl3138]) ).
thf(zip_derived_cl1840_035,plain,
( ( cons @ ( hd @ sk__19 ) @ nil )
= sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1839,zip_derived_cl1558]) ).
thf(zip_derived_cl770_036,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl3190,plain,
( ( ( app @ sk__19 @ ( tl @ sk__20 ) )
= sk__20 )
| ( nil = sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl3179,zip_derived_cl1840,zip_derived_cl770]) ).
thf(zip_derived_cl799_037,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl3191,plain,
( ( app @ sk__19 @ ( tl @ sk__20 ) )
= sk__20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3190,zip_derived_cl799]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl1905_038,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__19 ) @ X0 )
= ( app @ sk__19 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1874,zip_derived_cl1675]) ).
thf(zip_derived_cl1905_039,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ sk__19 ) @ X0 )
= ( app @ sk__19 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1874,zip_derived_cl1675]) ).
thf(zip_derived_cl1840_040,plain,
( ( cons @ ( hd @ sk__19 ) @ nil )
= sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1839,zip_derived_cl1558]) ).
thf(zip_derived_cl2198,plain,
( ( ( app @ sk__19 @ nil )
= sk__19 )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl1905,zip_derived_cl1840]) ).
thf(zip_derived_cl31_041,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2253,plain,
( ( app @ sk__19 @ nil )
= sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl2198,zip_derived_cl31]) ).
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_cl44,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_cl2272,plain,
! [X0: $i] :
( ( ( cons @ X0 @ sk__19 )
= ( app @ ( cons @ X0 @ sk__19 ) @ nil ) )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2253,zip_derived_cl44]) ).
thf(zip_derived_cl31_042,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl97_043,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2299,plain,
! [X0: $i] :
( ( ( cons @ X0 @ sk__19 )
= ( app @ ( cons @ X0 @ sk__19 ) @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2272,zip_derived_cl31,zip_derived_cl97]) ).
thf(zip_derived_cl5908,plain,
( ( ( cons @ ( hd @ sk__19 ) @ sk__19 )
= ( app @ ( app @ sk__19 @ sk__19 ) @ nil ) )
| ~ ( ssList @ sk__19 )
| ~ ( ssItem @ ( hd @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1905,zip_derived_cl2299]) ).
thf(zip_derived_cl97_044,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1675_045,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl5911,plain,
( ( cons @ ( hd @ sk__19 ) @ sk__19 )
= ( app @ ( app @ sk__19 @ sk__19 ) @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl5908,zip_derived_cl97,zip_derived_cl1675]) ).
thf(zip_derived_cl42_046,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl6058,plain,
( ( ( tl @ ( app @ ( app @ sk__19 @ sk__19 ) @ nil ) )
= sk__19 )
| ~ ( ssList @ sk__19 )
| ~ ( ssItem @ ( hd @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5911,zip_derived_cl42]) ).
thf(zip_derived_cl97_047,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1675_048,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl6103,plain,
( ( tl @ ( app @ ( app @ sk__19 @ sk__19 ) @ nil ) )
= sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl6058,zip_derived_cl97,zip_derived_cl1675]) ).
thf(zip_derived_cl6628,plain,
( ( ( tl @ ( app @ sk__19 @ sk__19 ) )
= sk__19 )
| ~ ( ssList @ ( app @ sk__19 @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl6103]) ).
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_cl84,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_cl5911_049,plain,
( ( cons @ ( hd @ sk__19 ) @ sk__19 )
= ( app @ ( app @ sk__19 @ sk__19 ) @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl5908,zip_derived_cl97,zip_derived_cl1675]) ).
thf(zip_derived_cl30_050,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl6054,plain,
( ( ssList @ ( app @ ( app @ sk__19 @ sk__19 ) @ nil ) )
| ~ ( ssList @ sk__19 )
| ~ ( ssItem @ ( hd @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5911,zip_derived_cl30]) ).
thf(zip_derived_cl97_051,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1675_052,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl6099,plain,
ssList @ ( app @ ( app @ sk__19 @ sk__19 ) @ nil ),
inference(demod,[status(thm)],[zip_derived_cl6054,zip_derived_cl97,zip_derived_cl1675]) ).
thf(zip_derived_cl6259,plain,
( ( ssList @ ( app @ sk__19 @ ( app @ sk__19 @ nil ) ) )
| ~ ( ssList @ sk__19 )
| ~ ( ssList @ nil )
| ~ ( ssList @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl6099]) ).
thf(zip_derived_cl2253_053,plain,
( ( app @ sk__19 @ nil )
= sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl2198,zip_derived_cl31]) ).
thf(zip_derived_cl97_054,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31_055,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl97_056,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6263,plain,
ssList @ ( app @ sk__19 @ sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl6259,zip_derived_cl2253,zip_derived_cl97,zip_derived_cl31,zip_derived_cl97]) ).
thf(zip_derived_cl6633,plain,
( ( tl @ ( app @ sk__19 @ sk__19 ) )
= sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl6628,zip_derived_cl6263]) ).
thf(zip_derived_cl1828_057,plain,
( ( tl @ sk__19 )
= nil ),
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(ax86,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil != U )
=> ( ( tl @ ( app @ U @ V ) )
= ( app @ ( tl @ U ) @ V ) ) ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ ( app @ X1 @ X0 ) )
= ( app @ ( tl @ X1 ) @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax86]) ).
thf(zip_derived_cl1834,plain,
! [X0: $i] :
( ( ( tl @ ( app @ sk__19 @ X0 ) )
= ( app @ nil @ X0 ) )
| ~ ( ssList @ sk__19 )
| ( nil = sk__19 )
| ~ ( ssList @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1828,zip_derived_cl90]) ).
thf(zip_derived_cl97_058,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1845,plain,
! [X0: $i] :
( ( ( tl @ ( app @ sk__19 @ X0 ) )
= ( app @ nil @ X0 ) )
| ( nil = sk__19 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1834,zip_derived_cl97]) ).
thf(zip_derived_cl1558_059,plain,
sk__19 != nil,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1557,zip_derived_cl799]) ).
thf(zip_derived_cl1846,plain,
! [X0: $i] :
( ( ( tl @ ( app @ sk__19 @ X0 ) )
= ( app @ nil @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1845,zip_derived_cl1558]) ).
thf(zip_derived_cl6820,plain,
( ( sk__19
= ( app @ nil @ sk__19 ) )
| ~ ( ssList @ sk__19 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6633,zip_derived_cl1846]) ).
thf(zip_derived_cl97_060,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6857,plain,
( sk__19
= ( app @ nil @ sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl6820,zip_derived_cl97]) ).
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_cl11,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_cl6859,plain,
! [X0: $i,X1: $i] :
( ( ( app @ sk__19 @ X1 )
!= X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__19 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X1 )
| ~ ( ssList @ sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6857,zip_derived_cl11]) ).
thf(zip_derived_cl31_061,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl97_062,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6890,plain,
! [X0: $i,X1: $i] :
( ( ( app @ sk__19 @ X1 )
!= X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ sk__19 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6859,zip_derived_cl31,zip_derived_cl97]) ).
thf(zip_derived_cl9233,plain,
! [X0: $i] :
( ( sk__20 != X0 )
| ~ ( ssList @ ( tl @ sk__20 ) )
| ( segmentP @ X0 @ sk__19 )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3191,zip_derived_cl6890]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( ssList @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl1658_063,plain,
( ( hd @ sk__19 )
= ( hd @ sk__20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1657,zip_derived_cl799]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( ( cons @ ( sk__16 @ X0 ) @ ( sk__15 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl40_064,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl945,plain,
! [X0: $i] :
( ( ( hd @ X0 )
= ( sk__16 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( sk__15 @ X0 ) )
| ~ ( ssItem @ ( sk__16 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl40]) ).
thf(zip_derived_cl37_065,plain,
! [X0: $i] :
( ( ssList @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4641,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__16 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( ( hd @ X0 )
= ( sk__16 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl945,zip_derived_cl37]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( ssItem @ ( sk__16 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4642,plain,
! [X0: $i] :
( ( ( hd @ X0 )
= ( sk__16 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4641,zip_derived_cl35]) ).
thf(zip_derived_cl36_066,plain,
! [X0: $i] :
( ( ( cons @ ( sk__16 @ X0 ) @ ( sk__15 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl4644,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ X0 ) @ ( sk__15 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4642,zip_derived_cl36]) ).
thf(zip_derived_cl4646,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( sk__15 @ X0 ) )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4644]) ).
thf(zip_derived_cl4977,plain,
( ( ( cons @ ( hd @ sk__19 ) @ ( sk__15 @ sk__20 ) )
= sk__20 )
| ( nil = sk__20 )
| ~ ( ssList @ sk__20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1658,zip_derived_cl4646]) ).
thf(zip_derived_cl770_067,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl4979,plain,
( ( ( cons @ ( hd @ sk__19 ) @ ( sk__15 @ sk__20 ) )
= sk__20 )
| ( nil = sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl4977,zip_derived_cl770]) ).
thf(zip_derived_cl799_068,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl4980,plain,
( ( cons @ ( hd @ sk__19 ) @ ( sk__15 @ sk__20 ) )
= sk__20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4979,zip_derived_cl799]) ).
thf(zip_derived_cl42_069,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl5218,plain,
( ( ( tl @ sk__20 )
= ( sk__15 @ sk__20 ) )
| ~ ( ssList @ ( sk__15 @ sk__20 ) )
| ~ ( ssItem @ ( hd @ sk__19 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4980,zip_derived_cl42]) ).
thf(zip_derived_cl1675_070,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl5260,plain,
( ( ( tl @ sk__20 )
= ( sk__15 @ sk__20 ) )
| ~ ( ssList @ ( sk__15 @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5218,zip_derived_cl1675]) ).
thf(zip_derived_cl5412,plain,
( ~ ( ssList @ sk__20 )
| ( nil = sk__20 )
| ( ( tl @ sk__20 )
= ( sk__15 @ sk__20 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl5260]) ).
thf(zip_derived_cl770_071,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl5414,plain,
( ( nil = sk__20 )
| ( ( tl @ sk__20 )
= ( sk__15 @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5412,zip_derived_cl770]) ).
thf(zip_derived_cl799_072,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl5415,plain,
( ( tl @ sk__20 )
= ( sk__15 @ sk__20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5414,zip_derived_cl799]) ).
thf(zip_derived_cl37_073,plain,
! [X0: $i] :
( ( ssList @ ( sk__15 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl5425,plain,
( ( ssList @ ( tl @ sk__20 ) )
| ~ ( ssList @ sk__20 )
| ( nil = sk__20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5415,zip_derived_cl37]) ).
thf(zip_derived_cl770_074,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl5435,plain,
( ( ssList @ ( tl @ sk__20 ) )
| ( nil = sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl5425,zip_derived_cl770]) ).
thf(zip_derived_cl799_075,plain,
sk__20 != nil,
inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl770,zip_derived_cl31]) ).
thf(zip_derived_cl5436,plain,
ssList @ ( tl @ sk__20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5435,zip_derived_cl799]) ).
thf(zip_derived_cl9240,plain,
! [X0: $i] :
( ( sk__20 != X0 )
| ( segmentP @ X0 @ sk__19 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9233,zip_derived_cl5436]) ).
thf(ax4,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ( cons @ V @ nil )
= U )
& ( ssItem @ V ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl105,plain,
( ~ ( segmentP @ sk__20 @ sk__19 )
| ~ ( singletonP @ sk__19 )
| ~ ( neq @ sk__22 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl768,plain,
! [X0: $i] :
( ~ ( ssList @ sk__19 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__19 )
| ~ ( neq @ sk__22 @ nil )
| ~ ( segmentP @ sk__20 @ sk__19 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl105]) ).
thf(zip_derived_cl97_076,plain,
ssList @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106_077,plain,
sk__20 = sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl793_078,plain,
neq @ sk__20 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl851,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__19 )
| ~ ( segmentP @ sk__20 @ sk__19 ) ),
inference(demod,[status(thm)],[zip_derived_cl768,zip_derived_cl97,zip_derived_cl106,zip_derived_cl793]) ).
thf(zip_derived_cl9247,plain,
! [X0: $i] :
( ~ ( ssList @ sk__20 )
| ( sk__20 != sk__20 )
| ( ( cons @ X0 @ nil )
!= sk__19 )
| ~ ( ssItem @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9240,zip_derived_cl851]) ).
thf(zip_derived_cl770_079,plain,
ssList @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl106]) ).
thf(zip_derived_cl9266,plain,
! [X0: $i] :
( ( sk__20 != sk__20 )
| ( ( cons @ X0 @ nil )
!= sk__19 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9247,zip_derived_cl770]) ).
thf(zip_derived_cl9267,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__19 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9266]) ).
thf(zip_derived_cl9323,plain,
( ( ( app @ sk__19 @ nil )
!= sk__19 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__19 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1905,zip_derived_cl9267]) ).
thf(zip_derived_cl2253_080,plain,
( ( app @ sk__19 @ nil )
= sk__19 ),
inference(demod,[status(thm)],[zip_derived_cl2198,zip_derived_cl31]) ).
thf(zip_derived_cl31_081,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1675_082,plain,
ssItem @ ( hd @ sk__19 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1674,zip_derived_cl799]) ).
thf(zip_derived_cl9328,plain,
sk__19 != sk__19,
inference(demod,[status(thm)],[zip_derived_cl9323,zip_derived_cl2253,zip_derived_cl31,zip_derived_cl1675]) ).
thf(zip_derived_cl9329,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl9328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC382+1 : TPTP v9.2.0. Released v2.4.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nyjQZIKQv5 true
% 0.13/0.34 % Computer : n010.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 17:05:38 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
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.71/1.84 % Solved by fo/fo3_bce.sh.
% 8.71/1.84 % BCE start: 109
% 8.71/1.84 % BCE eliminated: 2
% 8.71/1.84 % PE start: 107
% 8.71/1.84 logic: eq
% 8.71/1.84 % PE eliminated: 3
% 8.71/1.84 % done 1201 iterations in 1.085s
% 8.71/1.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.71/1.84 % SZS output start Refutation
% See solution above
% 8.71/1.84
% 8.71/1.84
% 8.71/1.84 % Terminating...
% 9.22/1.95 % Runner terminated.
% 9.22/1.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------