TSTP Solution File: SWC297+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC297+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6pPfpV6Brw true
% Computer : n002.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 Aug 31 21:30:34 EDT 2023
% Result : Theorem 26.54s 4.42s
% Output : Refutation 26.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 46
% Syntax : Number of formulae : 317 ( 104 unt; 24 typ; 0 def)
% Number of atoms : 832 ( 261 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 2153 ( 412 ~; 458 |; 9 &;1202 @)
% ( 6 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 247 ( 0 ^; 244 !; 3 ?; 247 :)
% Comments :
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__55_type,type,
sk__55: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(lt_type,type,
lt: $i > $i > $o ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $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(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__54_type,type,
sk__54: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
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] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( ~ ( memberP @ Z @ X2 )
| ( lt @ X2 @ Y ) )
& ( ~ ( memberP @ X1 @ X2 )
| ( lt @ Y @ X2 ) ) ) ) ) ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ( ( cons @ X3 @ nil )
!= W )
| ~ ( memberP @ X @ X3 ) ) )
& ( 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 )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( ~ ( memberP @ Z @ X2 )
| ( lt @ X2 @ Y ) )
& ( ~ ( memberP @ X1 @ X2 )
| ( lt @ Y @ X2 ) ) ) ) ) ) ) )
| ( ( nil != W )
& ( nil = X ) )
| ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ( ( cons @ X3 @ nil )
!= W )
| ~ ( memberP @ X @ X3 ) ) )
& ( neq @ X @ nil ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl194,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__54 @ sk__55 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194_001,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__54 @ sk__55 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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_cl198,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax6,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ W @ V )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X2 )
| ( rearsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1685,plain,
! [X0: $i] :
( ~ ( ssList @ sk__54 )
| ( sk__47 != X0 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl17]) ).
thf(zip_derived_cl199,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1691,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1685,zip_derived_cl199]) ).
thf(zip_derived_cl1819,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1691]) ).
thf(zip_derived_cl192,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1821,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1819,zip_derived_cl192]) ).
thf(zip_derived_cl1908,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__52 )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1821]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1909,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1908,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X1 @ X0 )
| ( ( app @ ( sk__6 @ X0 @ X1 ) @ X0 )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax36,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X1 @ X2 )
| ( memberP @ ( app @ X0 @ X1 ) @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl2238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X0 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ ( sk__6 @ X2 @ X0 ) )
| ~ ( memberP @ X2 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl109]) ).
thf(zip_derived_cl2246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( memberP @ X2 @ X1 )
| ~ ( ssList @ ( sk__6 @ X2 @ X0 ) )
| ~ ( ssList @ X2 )
| ~ ( rearsegP @ X0 @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X1 @ X0 )
| ( ssList @ ( sk__6 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl3686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X0 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( memberP @ X2 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2246,zip_derived_cl16]) ).
thf(zip_derived_cl3689,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ sk__54 )
| ~ ( memberP @ sk__54 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1909,zip_derived_cl3686]) ).
thf(zip_derived_cl199_002,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3695,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 )
| ~ ( memberP @ sk__54 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3689,zip_derived_cl199]) ).
thf(zip_derived_cl3696,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( memberP @ sk__54 @ X1 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3695]) ).
thf(zip_derived_cl3709,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( memberP @ sk__54 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3696]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3710,plain,
! [X0: $i] :
( ~ ( memberP @ sk__54 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3709,zip_derived_cl190]) ).
thf(zip_derived_cl3741,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl3710]) ).
thf(zip_derived_cl193,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3743,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 ) ),
inference(demod,[status(thm)],[zip_derived_cl3741,zip_derived_cl193]) ).
thf(zip_derived_cl82_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl171,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_cl82_004,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl198_005,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl3005,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl172]) ).
thf(zip_derived_cl199_006,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_007,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3023,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3005,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl5137,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__52 )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3023]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_009,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5138,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5137,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl5285,plain,
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl5138]) ).
thf(zip_derived_cl199_010,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_011,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5287,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5285,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl5413,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5287,zip_derived_cl108]) ).
thf(zip_derived_cl192_012,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5467,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5413,zip_derived_cl192]) ).
thf(zip_derived_cl5603,plain,
! [X0: $i] :
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl5467]) ).
thf(zip_derived_cl199_013,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_014,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5604,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5603,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl5628,plain,
( ( memberP @ sk__47 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3743,zip_derived_cl5604]) ).
thf(zip_derived_cl193_015,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5630,plain,
( ( memberP @ sk__47 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 ) ),
inference(demod,[status(thm)],[zip_derived_cl5628,zip_derived_cl193]) ).
thf(zip_derived_cl5631,plain,
memberP @ sk__47 @ sk__55,
inference(simplify,[status(thm)],[zip_derived_cl5630]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
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_cl203,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1500,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl203]) ).
thf(zip_derived_cl206,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl206_016,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1552,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).
thf(zip_derived_cl206_017,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_018,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl201,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1606,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1500,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83,zip_derived_cl201]) ).
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_cl2007,plain,
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ( ( hd @ sk__47 )
= sk__51 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1606,zip_derived_cl92]) ).
thf(zip_derived_cl83_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2008,plain,
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ( ( hd @ sk__47 )
= sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl2007,zip_derived_cl83]) ).
thf(zip_derived_cl81_020,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl204,plain,
( ( ssItem @ sk__51 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1501,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( ssItem @ sk__51 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl204]) ).
thf(zip_derived_cl206_021,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1552_022,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl206]) ).
thf(zip_derived_cl206_023,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_024,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1574,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83]) ).
thf(zip_derived_cl2011,plain,
( ( ( hd @ sk__47 )
= sk__51 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2008,zip_derived_cl1574]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl2012,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ssItem @ sk__51 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2011,zip_derived_cl91]) ).
thf(zip_derived_cl190_025,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2013,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl2012,zip_derived_cl190]) ).
thf(zip_derived_cl205,plain,
( ( nil = sk__49 )
| ( nil != sk__50 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_026,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1549,plain,
( ( nil = sk__47 )
| ( nil != sk__50 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl201]) ).
thf(zip_derived_cl206_027,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1550,plain,
( ( nil = sk__47 )
| ( nil != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl206]) ).
thf(zip_derived_cl2018,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2013,zip_derived_cl1550]) ).
thf(zip_derived_cl2011_028,plain,
( ( ( hd @ sk__47 )
= sk__51 )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2008,zip_derived_cl1574]) ).
thf(zip_derived_cl1606_029,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1500,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83,zip_derived_cl201]) ).
thf(ax25,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl2016,plain,
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1606,zip_derived_cl94]) ).
thf(zip_derived_cl83_030,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2017,plain,
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2016,zip_derived_cl83]) ).
thf(zip_derived_cl1574_031,plain,
( ( sk__48 = nil )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl206,zip_derived_cl1552,zip_derived_cl206,zip_derived_cl83]) ).
thf(zip_derived_cl2019,plain,
( ( ( tl @ sk__47 )
= nil )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2017,zip_derived_cl1574]) ).
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(zip_derived_cl2875,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2019,zip_derived_cl168]) ).
thf(zip_derived_cl190_032,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2878,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2875,zip_derived_cl190]) ).
thf(zip_derived_cl1550_033,plain,
( ( nil = sk__47 )
| ( nil != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl206]) ).
thf(zip_derived_cl3121,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2878,zip_derived_cl1550]) ).
thf(zip_derived_cl3162,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2011,zip_derived_cl3121]) ).
thf(zip_derived_cl1550_034,plain,
( ( nil = sk__47 )
| ( nil != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl206]) ).
thf(zip_derived_cl3261,plain,
( ( nil = sk__47 )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl3162,zip_derived_cl1550]) ).
thf(ax37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ ( cons @ X0 @ X1 ) @ X2 )
| ( X2 = X0 )
| ( memberP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl3268,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3261,zip_derived_cl110]) ).
thf(zip_derived_cl83_035,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3305,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3268,zip_derived_cl83]) ).
thf(zip_derived_cl5287_036,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5285,zip_derived_cl199,zip_derived_cl200]) ).
thf(ax3,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( memberP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ W @ ( cons @ V @ X ) )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ X3 @ ( cons @ X0 @ X1 ) )
!= X2 )
| ~ ( ssList @ X3 )
| ( memberP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl5436,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ( sk__47 != X0 )
| ~ ( ssList @ sk__53 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5287,zip_derived_cl8]) ).
thf(zip_derived_cl200_037,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_038,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_039,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5490,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5436,zip_derived_cl200,zip_derived_cl199,zip_derived_cl192]) ).
thf(ax38,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl5949,plain,
( ~ ( ssList @ nil )
| ( sk__47 != nil )
| ~ ( ssItem @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5490,zip_derived_cl113]) ).
thf(zip_derived_cl83_040,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_041,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5954,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl5949,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7980,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3305,zip_derived_cl5954]) ).
thf(zip_derived_cl113_042,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl7981,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ sk__51 ) ),
inference(clc,[status(thm)],[zip_derived_cl7980,zip_derived_cl113]) ).
thf(zip_derived_cl7983,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2018,zip_derived_cl7981]) ).
thf(zip_derived_cl5954_043,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl5949,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7984,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7983,zip_derived_cl5954]) ).
thf(zip_derived_cl10971,plain,
( ~ ( ssItem @ sk__55 )
| ( sk__55 = sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5631,zip_derived_cl7984]) ).
thf(zip_derived_cl193_044,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10976,plain,
sk__55 = sk__51,
inference(demod,[status(thm)],[zip_derived_cl10971,zip_derived_cl193]) ).
thf(zip_derived_cl10976_045,plain,
sk__55 = sk__51,
inference(demod,[status(thm)],[zip_derived_cl10971,zip_derived_cl193]) ).
thf(zip_derived_cl11088,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( memberP @ sk__54 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl10976,zip_derived_cl10976]) ).
thf(zip_derived_cl3121_046,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2878,zip_derived_cl1550]) ).
thf(zip_derived_cl91_047,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl91_048,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl3121_049,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2878,zip_derived_cl1550]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl2120,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl2121,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2120]) ).
thf(zip_derived_cl3132,plain,
( ( nil = sk__47 )
| ( memberP @ sk__47 @ ( hd @ sk__47 ) )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__47 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3121,zip_derived_cl2121]) ).
thf(zip_derived_cl83_050,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3173,plain,
( ( nil = sk__47 )
| ( memberP @ sk__47 @ ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3132,zip_derived_cl83]) ).
thf(zip_derived_cl5954_051,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl5949,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7548,plain,
( ( memberP @ sk__47 @ ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3173,zip_derived_cl5954]) ).
thf(zip_derived_cl7549,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( memberP @ sk__47 @ ( hd @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl7548]) ).
thf(zip_derived_cl190_052,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7552,plain,
( ( nil = sk__47 )
| ( memberP @ sk__47 @ ( hd @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7549,zip_derived_cl190]) ).
thf(zip_derived_cl5954_053,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl5949,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7553,plain,
memberP @ sk__47 @ ( hd @ sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7552,zip_derived_cl5954]) ).
thf(zip_derived_cl7984_054,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7983,zip_derived_cl5954]) ).
thf(zip_derived_cl10969,plain,
( ~ ( ssItem @ ( hd @ sk__47 ) )
| ( ( hd @ sk__47 )
= sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7553,zip_derived_cl7984]) ).
thf(zip_derived_cl11368,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( ( hd @ sk__47 )
= sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl10969]) ).
thf(zip_derived_cl190_055,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11371,plain,
( ( nil = sk__47 )
| ( ( hd @ sk__47 )
= sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl11368,zip_derived_cl190]) ).
thf(zip_derived_cl5954_056,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl5949,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl11372,plain,
( ( hd @ sk__47 )
= sk__51 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11371,zip_derived_cl5954]) ).
thf(zip_derived_cl11386,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl3121,zip_derived_cl11372]) ).
thf(zip_derived_cl5954_057,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl5949,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl11387,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11386,zip_derived_cl5954]) ).
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(zip_derived_cl95_058,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl5138_059,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5137,zip_derived_cl83,zip_derived_cl200]) ).
thf(ax85,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil != U )
=> ( ( hd @ ( app @ U @ V ) )
= ( hd @ U ) ) ) ) ) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( hd @ ( app @ X1 @ X0 ) )
= ( hd @ X1 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax85]) ).
thf(zip_derived_cl5273,plain,
( ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ( ( hd @ sk__47 )
= ( hd @ sk__53 ) )
| ( nil = sk__53 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5138,zip_derived_cl177]) ).
thf(zip_derived_cl192_060,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5302,plain,
( ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ( ( hd @ sk__47 )
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl5273,zip_derived_cl192]) ).
thf(zip_derived_cl5490_061,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5436,zip_derived_cl200,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl7984_062,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7983,zip_derived_cl5954]) ).
thf(zip_derived_cl10968,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 != sk__47 )
| ~ ( ssItem @ sk__52 )
| ( sk__52 = sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5490,zip_derived_cl7984]) ).
thf(zip_derived_cl190_063,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_064,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10974,plain,
( ( sk__47 != sk__47 )
| ( sk__52 = sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl10968,zip_derived_cl190,zip_derived_cl200]) ).
thf(zip_derived_cl10975,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl10974]) ).
thf(zip_derived_cl11387_065,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11386,zip_derived_cl5954]) ).
thf(zip_derived_cl11372_066,plain,
( ( hd @ sk__47 )
= sk__51 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11371,zip_derived_cl5954]) ).
thf(zip_derived_cl16209,plain,
( ~ ( ssList @ ( app @ sk__47 @ sk__54 ) )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl5302,zip_derived_cl10975,zip_derived_cl11387,zip_derived_cl11372]) ).
thf(zip_derived_cl16210,plain,
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ sk__54 )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl16209]) ).
thf(zip_derived_cl190_067,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_068,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16213,plain,
( ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl16210,zip_derived_cl190,zip_derived_cl199]) ).
thf(zip_derived_cl168_069,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl16373,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16213,zip_derived_cl168]) ).
thf(zip_derived_cl192_070,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16382,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl16373,zip_derived_cl192]) ).
thf(zip_derived_cl16383,plain,
( ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16382]) ).
thf(zip_derived_cl2121_071,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2120]) ).
thf(zip_derived_cl16531,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16383,zip_derived_cl2121]) ).
thf(zip_derived_cl200_072,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10975_073,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl10974]) ).
thf(zip_derived_cl10981,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl10975]) ).
thf(zip_derived_cl16708,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16531,zip_derived_cl10981]) ).
thf(zip_derived_cl17233,plain,
( ~ ( ssList @ sk__53 )
| ( nil = sk__53 )
| ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl16708]) ).
thf(zip_derived_cl192_074,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17234,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl17233,zip_derived_cl192]) ).
thf(zip_derived_cl17235,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17234]) ).
thf(zip_derived_cl5287_075,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5285,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ( app @ ( sk__2 @ X0 @ X1 ) @ ( cons @ X0 @ ( sk__3 @ X0 @ X1 ) ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl82_076,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax71,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( duplicatefreeP @ ( cons @ U @ nil ) ) ) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ( duplicatefreeP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax71]) ).
thf(ax13,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( duplicatefreeP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( V != W ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( duplicatefreeP @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( X3 != X1 )
| ( ( app @ ( app @ X4 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X5 ) )
!= X0 )
| ~ ( ssList @ X5 )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X5 )
| ~ ( ssList @ X4 )
| ( ( app @ ( app @ X5 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X4 ) )
!= ( cons @ X0 @ nil ) )
| ( X3 != X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl159,zip_derived_cl72]) ).
thf(zip_derived_cl3757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ ( cons @ X0 @ X1 ) ) @ ( cons @ X0 @ X2 ) )
!= ( cons @ X4 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X4 @ nil ) )
| ~ ( ssItem @ X4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1517]) ).
thf(zip_derived_cl3758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X4 )
| ~ ( ssList @ ( cons @ X4 @ nil ) )
| ~ ( ssList @ X3 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X3 @ ( cons @ X0 @ X1 ) ) @ ( cons @ X0 @ X2 ) )
!= ( cons @ X4 @ nil ) )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3757]) ).
thf(zip_derived_cl3759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ X4 ) ) @ ( cons @ X3 @ X2 ) )
!= ( cons @ X0 @ nil ) )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3758]) ).
thf(zip_derived_cl83_077,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ X4 ) ) @ ( cons @ X3 @ X2 ) )
!= ( cons @ X0 @ nil ) )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl3759,zip_derived_cl83]) ).
thf(zip_derived_cl3764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X3 )
| ~ ( ssList @ X4 )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ X4 ) ) @ ( cons @ X3 @ X2 ) )
!= ( cons @ X0 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3763]) ).
thf(zip_derived_cl3782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ ( sk__3 @ X3 @ X0 ) )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ ( sk__2 @ X3 @ X0 ) )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3764]) ).
thf(zip_derived_cl3797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ ( sk__2 @ X3 @ X0 ) )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssList @ ( sk__3 @ X3 @ X0 ) )
| ~ ( ssItem @ X3 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3782]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ssList @ ( sk__2 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ ( sk__3 @ X3 @ X0 ) )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl3797,zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ssList @ ( sk__3 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssItem @ X3 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6511,zip_derived_cl5]) ).
thf(zip_derived_cl6521,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__54 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ sk__52 )
| ~ ( memberP @ sk__53 @ sk__52 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5287,zip_derived_cl6512]) ).
thf(zip_derived_cl199_078,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_079,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_080,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6533,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( memberP @ sk__53 @ sk__52 ) ),
inference(demod,[status(thm)],[zip_derived_cl6521,zip_derived_cl199,zip_derived_cl200,zip_derived_cl192]) ).
thf(zip_derived_cl10975_081,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl10974]) ).
thf(zip_derived_cl11032,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6533,zip_derived_cl10975]) ).
thf(zip_derived_cl17249,plain,
! [X0: $i] :
( ( nil = sk__53 )
| ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17235,zip_derived_cl11032]) ).
thf(zip_derived_cl17265,plain,
( ( nil = sk__53 )
| ~ ( ssItem @ sk__51 )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11387,zip_derived_cl17249]) ).
thf(zip_derived_cl10981_082,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl10975]) ).
thf(zip_derived_cl17268,plain,
( ( nil = sk__53 )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl17265,zip_derived_cl10981]) ).
thf(zip_derived_cl17269,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl17268]) ).
thf(zip_derived_cl17278,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ sk__54 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl11088,zip_derived_cl17269]) ).
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(zip_derived_cl82_083,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl5287_084,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5285,zip_derived_cl199,zip_derived_cl200]) ).
thf(ax80,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ V @ W )
= ( app @ V @ U ) )
=> ( W = U ) ) ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X0 @ X2 )
!= ( app @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax80]) ).
thf(zip_derived_cl5431,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ( ( app @ sk__53 @ X0 )
!= sk__47 )
| ( X0
= ( cons @ sk__52 @ sk__54 ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5287,zip_derived_cl170]) ).
thf(zip_derived_cl192_085,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5485,plain,
! [X0: $i] :
( ( ( app @ sk__53 @ X0 )
!= sk__47 )
| ( X0
= ( cons @ sk__52 @ sk__54 ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5431,zip_derived_cl192]) ).
thf(zip_derived_cl17269_086,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl17268]) ).
thf(zip_derived_cl10975_087,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl10974]) ).
thf(zip_derived_cl10975_088,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl10974]) ).
thf(zip_derived_cl17569,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
!= sk__47 )
| ( X0
= ( cons @ sk__51 @ sk__54 ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5485,zip_derived_cl17269,zip_derived_cl10975,zip_derived_cl10975]) ).
thf(zip_derived_cl17570,plain,
! [X0: $i] :
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__51 )
| ( ( app @ nil @ X0 )
!= sk__47 )
| ( X0
= ( cons @ sk__51 @ sk__54 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl17569]) ).
thf(zip_derived_cl199_089,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10981_090,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl10975]) ).
thf(zip_derived_cl17571,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
!= sk__47 )
| ( X0
= ( cons @ sk__51 @ sk__54 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17570,zip_derived_cl199,zip_derived_cl10981]) ).
thf(zip_derived_cl17584,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 != sk__47 )
| ( X0
= ( cons @ sk__51 @ sk__54 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl17571]) ).
thf(zip_derived_cl17591,plain,
! [X0: $i] :
( ( X0
= ( cons @ sk__51 @ sk__54 ) )
| ( X0 != sk__47 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17584]) ).
thf(zip_derived_cl17603,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47
= ( cons @ sk__51 @ sk__54 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl17591]) ).
thf(zip_derived_cl190_091,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17604,plain,
( sk__47
= ( cons @ sk__51 @ sk__54 ) ),
inference(demod,[status(thm)],[zip_derived_cl17603,zip_derived_cl190]) ).
thf(zip_derived_cl94_092,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl17623,plain,
( ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= sk__54 )
| ~ ( ssList @ sk__54 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl17604,zip_derived_cl94]) ).
thf(zip_derived_cl10981_093,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl10975]) ).
thf(zip_derived_cl11387_094,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11386,zip_derived_cl5954]) ).
thf(zip_derived_cl94_095,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl11460,plain,
( ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11387,zip_derived_cl94]) ).
thf(zip_derived_cl10981_096,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl10975]) ).
thf(zip_derived_cl83_097,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl11635,plain,
( ( tl @ sk__47 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl11460,zip_derived_cl10981,zip_derived_cl83]) ).
thf(zip_derived_cl199_098,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17804,plain,
nil = sk__54,
inference(demod,[status(thm)],[zip_derived_cl17623,zip_derived_cl10981,zip_derived_cl11635,zip_derived_cl199]) ).
thf(zip_derived_cl18028,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ nil @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl17278,zip_derived_cl17804]) ).
thf(zip_derived_cl18029,plain,
memberP @ nil @ sk__51,
inference(simplify,[status(thm)],[zip_derived_cl18028]) ).
thf(zip_derived_cl113_099,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl18166,plain,
~ ( ssItem @ sk__51 ),
inference('s_sup-',[status(thm)],[zip_derived_cl18029,zip_derived_cl113]) ).
thf(zip_derived_cl10981_100,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl10975]) ).
thf(zip_derived_cl18176,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl18166,zip_derived_cl10981]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC297+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6pPfpV6Brw true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 17:21:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.54/4.42 % Solved by fo/fo6_bce.sh.
% 26.54/4.42 % BCE start: 209
% 26.54/4.42 % BCE eliminated: 4
% 26.54/4.42 % PE start: 205
% 26.54/4.42 logic: eq
% 26.54/4.42 % PE eliminated: 5
% 26.54/4.42 % done 2511 iterations in 3.695s
% 26.54/4.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.54/4.42 % SZS output start Refutation
% See solution above
% 26.54/4.42
% 26.54/4.42
% 26.54/4.42 % Terminating...
% 26.91/4.49 % Runner terminated.
% 26.91/4.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------