TSTP Solution File: SWC295+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC295+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.fisj84Upuo true
% Computer : n029.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 21:30:33 EDT 2023
% Result : Theorem 15.05s 2.76s
% Output : Refutation 15.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 49
% Syntax : Number of formulae : 357 ( 116 unt; 22 typ; 0 def)
% Number of atoms : 1005 ( 337 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 2691 ( 531 ~; 570 |; 15 &;1490 @)
% ( 6 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 312 ( 0 ^; 307 !; 5 ?; 312 :)
% Comments :
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__52_type,type,
sk__52: $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(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__55_type,type,
sk__55: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk__54_type,type,
sk__54: $i ).
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 ) ) ) ) ) ) ) )
| ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ( ( cons @ X3 @ nil )
!= W )
| ~ ( memberP @ X @ X3 )
| ? [X4: $i] :
( ( leq @ X3 @ X4 )
& ( memberP @ X @ X4 )
& ( X3 != X4 )
& ( ssItem @ X4 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ) ).
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 ) ) ) ) ) ) ) )
| ( ! [X3: $i] :
( ( ssItem @ X3 )
=> ( ( ( cons @ X3 @ nil )
!= W )
| ~ ( memberP @ X @ X3 )
| ? [X4: $i] :
( ( leq @ X3 @ X4 )
& ( memberP @ X @ X4 )
& ( X3 != X4 )
& ( ssItem @ X4 ) ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
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_cl1695,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_cl1701,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_cl1695,zip_derived_cl199]) ).
thf(zip_derived_cl1866,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_cl1701]) ).
thf(zip_derived_cl192,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1868,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1866,zip_derived_cl192]) ).
thf(zip_derived_cl1984,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_cl1868]) ).
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_cl1985,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__54 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1984,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_cl2270,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_cl2278,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_cl2270]) ).
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_cl2324,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_cl2278,zip_derived_cl16]) ).
thf(zip_derived_cl2327,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_cl1985,zip_derived_cl2324]) ).
thf(zip_derived_cl199_002,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2332,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_cl2327,zip_derived_cl199]) ).
thf(zip_derived_cl2333,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_cl2332]) ).
thf(zip_derived_cl2376,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( memberP @ sk__54 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2333]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2377,plain,
! [X0: $i] :
( ~ ( memberP @ sk__54 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2376,zip_derived_cl190]) ).
thf(zip_derived_cl2428,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl2377]) ).
thf(zip_derived_cl193,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2429,plain,
( ( memberP @ sk__53 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 ) ),
inference(demod,[status(thm)],[zip_derived_cl2428,zip_derived_cl193]) ).
thf(zip_derived_cl95_003,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
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_cl3068,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_cl3084,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3068,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl3784,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_cl3084]) ).
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_cl3785,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3784,zip_derived_cl83,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_cl3788,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3785,zip_derived_cl108]) ).
thf(zip_derived_cl192_010,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3815,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3788,zip_derived_cl192]) ).
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_cl3785_011,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3784,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl3810,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_cl3785]) ).
thf(zip_derived_cl199_012,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_013,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3812,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3810,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_cl3896,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_cl3812,zip_derived_cl8]) ).
thf(zip_derived_cl200_014,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_015,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_016,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3924,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3896,zip_derived_cl200,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl209,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1552,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl201]) ).
thf(zip_derived_cl207,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( nil = sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_017,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_018,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1562,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl201,zip_derived_cl201]) ).
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_cl2294,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_cl1562,zip_derived_cl110]) ).
thf(zip_derived_cl83_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2298,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_cl2294,zip_derived_cl83]) ).
thf(zip_derived_cl3924_020,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3896,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_cl3942,plain,
( ~ ( ssList @ nil )
| ( sk__47 != nil )
| ~ ( ssItem @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3924,zip_derived_cl113]) ).
thf(zip_derived_cl83_021,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_022,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3948,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl6565,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_cl2298,zip_derived_cl3948]) ).
thf(zip_derived_cl113_023,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl6566,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ sk__51 ) ),
inference(clc,[status(thm)],[zip_derived_cl6565,zip_derived_cl113]) ).
thf(zip_derived_cl6568,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl6566]) ).
thf(zip_derived_cl3948_024,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl6569,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6568,zip_derived_cl3948]) ).
thf(zip_derived_cl6591,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 != sk__47 )
| ~ ( ssItem @ sk__52 )
| ( sk__52 = sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3924,zip_derived_cl6569]) ).
thf(zip_derived_cl190_025,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_026,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6595,plain,
( ( sk__47 != sk__47 )
| ( sk__52 = sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6591,zip_derived_cl190,zip_derived_cl200]) ).
thf(zip_derived_cl6596,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6595]) ).
thf(zip_derived_cl1562_027,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl201,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_cl2045,plain,
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1562,zip_derived_cl94]) ).
thf(zip_derived_cl83_028,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2047,plain,
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2045,zip_derived_cl83]) ).
thf(zip_derived_cl1552_029,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl201]) ).
thf(zip_derived_cl2099,plain,
( ( ( tl @ sk__47 )
= nil )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2047,zip_derived_cl1552]) ).
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_cl2850,plain,
( ( nil = sk__47 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2099,zip_derived_cl168]) ).
thf(zip_derived_cl190_030,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2855,plain,
( ( nil = sk__47 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2850,zip_derived_cl190]) ).
thf(zip_derived_cl2856,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2855]) ).
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_cl2856_031,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2855]) ).
thf(zip_derived_cl1552_032,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl201]) ).
thf(zip_derived_cl1562_033,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl201,zip_derived_cl201]) ).
thf(ax19,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssItem @ X )
=> ( ( ( cons @ W @ U )
= ( cons @ X @ V ) )
=> ( ( W = X )
& ( V = U ) ) ) ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( X2 = X1 )
| ( ( cons @ X2 @ X3 )
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ X3 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl1969,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ sk__51 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl85]) ).
thf(zip_derived_cl83_034,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1975,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1969,zip_derived_cl83]) ).
thf(zip_derived_cl3948_035,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl6375,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ sk__51 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1975,zip_derived_cl3948]) ).
thf(zip_derived_cl6377,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1552,zip_derived_cl6375]) ).
thf(zip_derived_cl3948_036,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl6378,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6377,zip_derived_cl3948]) ).
thf(zip_derived_cl7001,plain,
( ( nil = sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__51
= ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2856,zip_derived_cl6378]) ).
thf(zip_derived_cl83_037,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl7010,plain,
( ( nil = sk__47 )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__51
= ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl7001,zip_derived_cl83]) ).
thf(zip_derived_cl7011,plain,
( ( sk__51
= ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7010]) ).
thf(zip_derived_cl3948_038,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7012,plain,
( ( sk__51
= ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7011,zip_derived_cl3948]) ).
thf(zip_derived_cl7035,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( sk__51
= ( hd @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl7012]) ).
thf(zip_derived_cl190_039,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7038,plain,
( ( nil = sk__47 )
| ( sk__51
= ( hd @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7035,zip_derived_cl190]) ).
thf(zip_derived_cl3948_040,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7039,plain,
( sk__51
= ( hd @ sk__47 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7038,zip_derived_cl3948]) ).
thf(zip_derived_cl7043,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2856,zip_derived_cl7039]) ).
thf(zip_derived_cl3948_041,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7044,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7043,zip_derived_cl3948]) ).
thf(zip_derived_cl10284,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( app @ sk__47 @ sk__54 ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3815,zip_derived_cl6596,zip_derived_cl7044]) ).
thf(zip_derived_cl10285,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ sk__54 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl10284]) ).
thf(zip_derived_cl190_042,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_043,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10287,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10285,zip_derived_cl190,zip_derived_cl199]) ).
thf(zip_derived_cl10326,plain,
( ( memberP @ sk__47 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 )
| ~ ( ssItem @ sk__55 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2429,zip_derived_cl10287]) ).
thf(zip_derived_cl193_044,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10328,plain,
( ( memberP @ sk__47 @ sk__55 )
| ( memberP @ sk__47 @ sk__55 ) ),
inference(demod,[status(thm)],[zip_derived_cl10326,zip_derived_cl193]) ).
thf(zip_derived_cl10329,plain,
memberP @ sk__47 @ sk__55,
inference(simplify,[status(thm)],[zip_derived_cl10328]) ).
thf(zip_derived_cl6569_045,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6568,zip_derived_cl3948]) ).
thf(zip_derived_cl10370,plain,
( ~ ( ssItem @ sk__55 )
| ( sk__55 = sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10329,zip_derived_cl6569]) ).
thf(zip_derived_cl193_046,plain,
ssItem @ sk__55,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10372,plain,
sk__55 = sk__51,
inference(demod,[status(thm)],[zip_derived_cl10370,zip_derived_cl193]) ).
thf(zip_derived_cl10372_047,plain,
sk__55 = sk__51,
inference(demod,[status(thm)],[zip_derived_cl10370,zip_derived_cl193]) ).
thf(zip_derived_cl10375,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( memberP @ sk__54 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl10372,zip_derived_cl10372]) ).
thf(zip_derived_cl7044_048,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7043,zip_derived_cl3948]) ).
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_049,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl3785_050,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3784,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_cl3799,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_cl3785,zip_derived_cl177]) ).
thf(zip_derived_cl192_051,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3826,plain,
( ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ( ( hd @ sk__47 )
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl3799,zip_derived_cl192]) ).
thf(zip_derived_cl6596_052,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6595]) ).
thf(zip_derived_cl7044_053,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7043,zip_derived_cl3948]) ).
thf(zip_derived_cl7039_054,plain,
( sk__51
= ( hd @ sk__47 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7038,zip_derived_cl3948]) ).
thf(zip_derived_cl10398,plain,
( ~ ( ssList @ ( app @ sk__47 @ sk__54 ) )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl3826,zip_derived_cl6596,zip_derived_cl7044,zip_derived_cl7039]) ).
thf(zip_derived_cl10399,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_cl10398]) ).
thf(zip_derived_cl190_055,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_056,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10401,plain,
( ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl10399,zip_derived_cl190,zip_derived_cl199]) ).
thf(zip_derived_cl168_057,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl10419,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_cl10401,zip_derived_cl168]) ).
thf(zip_derived_cl192_058,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10430,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl10419,zip_derived_cl192]) ).
thf(zip_derived_cl10431,plain,
( ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10430]) ).
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_cl2190,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_cl2191,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2190]) ).
thf(zip_derived_cl10556,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10431,zip_derived_cl2191]) ).
thf(zip_derived_cl200_059,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6596_060,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6595]) ).
thf(zip_derived_cl6604,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl6596]) ).
thf(zip_derived_cl10687,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10556,zip_derived_cl6604]) ).
thf(zip_derived_cl10936,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_cl10687]) ).
thf(zip_derived_cl192_061,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10938,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl10936,zip_derived_cl192]) ).
thf(zip_derived_cl10939,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10938]) ).
thf(zip_derived_cl3812_062,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3810,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl6596_063,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6595]) ).
thf(zip_derived_cl6624,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3812,zip_derived_cl6596]) ).
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_064,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_cl1513,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_cl3954,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_cl1513]) ).
thf(zip_derived_cl3955,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_cl3954]) ).
thf(zip_derived_cl4009,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_cl3955]) ).
thf(zip_derived_cl83_065,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4013,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_cl4009,zip_derived_cl83]) ).
thf(zip_derived_cl4014,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_cl4013]) ).
thf(zip_derived_cl4142,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_cl4014]) ).
thf(zip_derived_cl4162,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_cl4142]) ).
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_cl7792,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_cl4162,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_cl7793,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_cl7792,zip_derived_cl5]) ).
thf(zip_derived_cl8102,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__54 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6624,zip_derived_cl7793]) ).
thf(zip_derived_cl199_066,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6604_067,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl6596]) ).
thf(zip_derived_cl192_068,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8164,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl8102,zip_derived_cl199,zip_derived_cl6604,zip_derived_cl192]) ).
thf(zip_derived_cl10950,plain,
! [X0: $i] :
( ( nil = sk__53 )
| ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10939,zip_derived_cl8164]) ).
thf(zip_derived_cl10956,plain,
( ( nil = sk__53 )
| ~ ( ssItem @ sk__51 )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7044,zip_derived_cl10950]) ).
thf(zip_derived_cl6604_069,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl6596]) ).
thf(zip_derived_cl10957,plain,
( ( nil = sk__53 )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl10956,zip_derived_cl6604]) ).
thf(zip_derived_cl10958,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl10957]) ).
thf(zip_derived_cl10988,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ sk__54 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl10375,zip_derived_cl10958]) ).
thf(zip_derived_cl198_070,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(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_cl2106,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( X0
!= ( app @ X0 @ X1 ) )
| ( nil = X1 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl170]) ).
thf(zip_derived_cl83_071,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2128,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( X0
!= ( app @ X0 @ X1 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2106,zip_derived_cl83]) ).
thf(zip_derived_cl2129,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( nil = X1 )
| ( X0
!= ( app @ X0 @ X1 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2128]) ).
thf(zip_derived_cl2174,plain,
( ~ ( ssList @ sk__54 )
| ( nil = sk__54 )
| ( ( app @ sk__53 @ ( cons @ sk__52 @ nil ) )
!= sk__47 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl2129]) ).
thf(zip_derived_cl199_072,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2182,plain,
( ( nil = sk__54 )
| ( ( app @ sk__53 @ ( cons @ sk__52 @ nil ) )
!= sk__47 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2174,zip_derived_cl199]) ).
thf(zip_derived_cl6596_073,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6595]) ).
thf(zip_derived_cl6596_074,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6595]) ).
thf(zip_derived_cl6617,plain,
( ( nil = sk__54 )
| ( ( app @ sk__53 @ ( cons @ sk__51 @ nil ) )
!= sk__47 )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__51 @ nil ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2182,zip_derived_cl6596,zip_derived_cl6596]) ).
thf(zip_derived_cl7044_075,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7043,zip_derived_cl3948]) ).
thf(zip_derived_cl7044_076,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7043,zip_derived_cl3948]) ).
thf(zip_derived_cl8827,plain,
( ( nil = sk__54 )
| ( ( app @ sk__53 @ sk__47 )
!= sk__47 )
| ~ ( ssList @ ( app @ sk__53 @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6617,zip_derived_cl7044,zip_derived_cl7044]) ).
thf(zip_derived_cl10958_077,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl10957]) ).
thf(zip_derived_cl7044_078,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7043,zip_derived_cl3948]) ).
thf(ax49,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ U ) ) ).
thf(zip_derived_cl127,plain,
! [X0: $i] :
( ( rearsegP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax49]) ).
thf(zip_derived_cl127_079,plain,
! [X0: $i] :
( ( rearsegP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax49]) ).
thf(zip_derived_cl16_080,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_cl15_081,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(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl175,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ( nil != X1 )
| ( nil
= ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(ax79,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ W @ V )
= ( app @ U @ V ) )
=> ( W = U ) ) ) ) ) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= ( app @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax79]) ).
thf(zip_derived_cl1870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( nil != X2 )
| ( nil != X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl169]) ).
thf(zip_derived_cl1892,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( X2 = X1 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil != X0 )
| ( nil != X2 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1870]) ).
thf(zip_derived_cl1982,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ~ ( ssList @ nil )
| ( nil
!= ( app @ X1 @ nil ) )
| ( X0 = X1 )
| ~ ( ssList @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1892]) ).
thf(zip_derived_cl83_082,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1983,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ( nil
!= ( app @ X1 @ nil ) )
| ( X0 = X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1982,zip_derived_cl83]) ).
thf(zip_derived_cl1996,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( nil
!= ( app @ X0 @ nil ) )
| ~ ( ssList @ nil ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1983]) ).
thf(zip_derived_cl83_083,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1997,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( nil
!= ( app @ X0 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1996,zip_derived_cl83]) ).
thf(zip_derived_cl2001,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X0 @ nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ ( sk__6 @ nil @ X0 ) )
| ( nil
= ( sk__6 @ nil @ X0 ) )
| ( nil != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1997]) ).
thf(zip_derived_cl83_084,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2007,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( rearsegP @ X0 @ nil )
| ~ ( ssList @ ( sk__6 @ nil @ X0 ) )
| ( nil
= ( sk__6 @ nil @ X0 ) )
| ( nil != X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2001,zip_derived_cl83]) ).
thf(ax51,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ nil ) ) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ( rearsegP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax51]) ).
thf(zip_derived_cl2658,plain,
! [X0: $i] :
( ( nil != X0 )
| ( nil
= ( sk__6 @ nil @ X0 ) )
| ~ ( ssList @ ( sk__6 @ nil @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2007,zip_derived_cl129]) ).
thf(zip_derived_cl2659,plain,
( ~ ( ssList @ nil )
| ~ ( ssList @ ( sk__6 @ nil @ nil ) )
| ( nil
= ( sk__6 @ nil @ nil ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2658]) ).
thf(zip_derived_cl83_085,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2660,plain,
( ~ ( ssList @ ( sk__6 @ nil @ nil ) )
| ( nil
= ( sk__6 @ nil @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2659,zip_derived_cl83]) ).
thf(zip_derived_cl2661,plain,
( ~ ( ssList @ nil )
| ~ ( rearsegP @ nil @ nil )
| ~ ( ssList @ nil )
| ( nil
= ( sk__6 @ nil @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2660]) ).
thf(zip_derived_cl83_086,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl83_087,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2662,plain,
( ~ ( rearsegP @ nil @ nil )
| ( nil
= ( sk__6 @ nil @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2661,zip_derived_cl83,zip_derived_cl83]) ).
thf(zip_derived_cl2679,plain,
( ~ ( ssList @ nil )
| ( nil
= ( sk__6 @ nil @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl2662]) ).
thf(zip_derived_cl83_088,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2682,plain,
( nil
= ( sk__6 @ nil @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2679,zip_derived_cl83]) ).
thf(zip_derived_cl15_089,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(zip_derived_cl2698,plain,
( ~ ( ssList @ nil )
| ~ ( rearsegP @ nil @ nil )
| ( ( app @ nil @ nil )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2682,zip_derived_cl15]) ).
thf(zip_derived_cl83_090,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl83_091,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2700,plain,
( ~ ( rearsegP @ nil @ nil )
| ( ( app @ nil @ nil )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2698,zip_derived_cl83,zip_derived_cl83]) ).
thf(zip_derived_cl2702,plain,
( ~ ( ssList @ nil )
| ( ( app @ nil @ nil )
= nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl2700]) ).
thf(zip_derived_cl83_092,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2705,plain,
( ( app @ nil @ nil )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl2702,zip_derived_cl83]) ).
thf(ax27,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl2734,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( ( cons @ X0 @ nil )
= ( app @ ( cons @ X0 @ nil ) @ nil ) )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2705,zip_derived_cl96]) ).
thf(zip_derived_cl83_093,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl83_094,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2757,plain,
! [X0: $i] :
( ( ( cons @ X0 @ nil )
= ( app @ ( cons @ X0 @ nil ) @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2734,zip_derived_cl83,zip_derived_cl83]) ).
thf(zip_derived_cl7193,plain,
( ( sk__47
= ( app @ sk__47 @ nil ) )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7044,zip_derived_cl2757]) ).
thf(zip_derived_cl6604_095,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl6596]) ).
thf(zip_derived_cl7319,plain,
( sk__47
= ( app @ sk__47 @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl7193,zip_derived_cl6604]) ).
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_cl172_096,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_cl1562_097,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl201,zip_derived_cl201]) ).
thf(zip_derived_cl2757_098,plain,
! [X0: $i] :
( ( ( cons @ X0 @ nil )
= ( app @ ( cons @ X0 @ nil ) @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2734,zip_derived_cl83,zip_derived_cl83]) ).
thf(zip_derived_cl3154,plain,
( ( nil = sk__47 )
| ( sk__47
= ( app @ sk__47 @ nil ) )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1562,zip_derived_cl2757]) ).
thf(zip_derived_cl1552_099,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl201]) ).
thf(zip_derived_cl3333,plain,
( ( sk__47
= ( app @ sk__47 @ nil ) )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl3154,zip_derived_cl1552]) ).
thf(zip_derived_cl169_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= ( app @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax79]) ).
thf(zip_derived_cl3339,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ nil )
| ( sk__47
!= ( app @ X0 @ nil ) )
| ( sk__47 = X0 )
| ~ ( ssList @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3333,zip_derived_cl169]) ).
thf(zip_derived_cl83_101,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl190_102,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3369,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ( sk__47
!= ( app @ X0 @ nil ) )
| ( sk__47 = X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3339,zip_derived_cl83,zip_derived_cl190]) ).
thf(zip_derived_cl3534,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ( nil = sk__47 )
| ( sk__47
!= ( app @ X1 @ ( app @ X0 @ nil ) ) )
| ( sk__47
= ( app @ X1 @ X0 ) )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl3369]) ).
thf(zip_derived_cl83_103,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3545,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( nil = sk__47 )
| ( sk__47
!= ( app @ X1 @ ( app @ X0 @ nil ) ) )
| ( sk__47
= ( app @ X1 @ X0 ) )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3534,zip_derived_cl83]) ).
thf(zip_derived_cl3948_104,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3942,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl9122,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( sk__47
!= ( app @ X1 @ ( app @ X0 @ nil ) ) )
| ( sk__47
= ( app @ X1 @ X0 ) )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3545,zip_derived_cl3948]) ).
thf(zip_derived_cl95_105,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl9123,plain,
! [X0: $i,X1: $i] :
( ( sk__47
= ( app @ X1 @ X0 ) )
| ( sk__47
!= ( app @ X1 @ ( app @ X0 @ nil ) ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl9122,zip_derived_cl95]) ).
thf(zip_derived_cl9127,plain,
! [X0: $i] :
( ~ ( ssList @ ( app @ X0 @ nil ) )
| ( sk__47
= ( app @ nil @ X0 ) )
| ( sk__47
!= ( app @ X0 @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl9123]) ).
thf(zip_derived_cl83_106,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl9140,plain,
! [X0: $i] :
( ~ ( ssList @ ( app @ X0 @ nil ) )
| ( sk__47
= ( app @ nil @ X0 ) )
| ( sk__47
!= ( app @ X0 @ nil ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl9127,zip_derived_cl83]) ).
thf(zip_derived_cl9647,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47
= ( app @ nil @ sk__47 ) )
| ( sk__47 != sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7319,zip_derived_cl9140]) ).
thf(zip_derived_cl190_107,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_108,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9662,plain,
( ( sk__47
= ( app @ nil @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl9647,zip_derived_cl190,zip_derived_cl190]) ).
thf(zip_derived_cl9663,plain,
( sk__47
= ( app @ nil @ sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9662]) ).
thf(zip_derived_cl10958_109,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl10957]) ).
thf(zip_derived_cl9663_110,plain,
( sk__47
= ( app @ nil @ sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9662]) ).
thf(zip_derived_cl190_111,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10978,plain,
( ( nil = sk__54 )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl8827,zip_derived_cl10958,zip_derived_cl9663,zip_derived_cl10958,zip_derived_cl9663,zip_derived_cl190]) ).
thf(zip_derived_cl10979,plain,
nil = sk__54,
inference(simplify,[status(thm)],[zip_derived_cl10978]) ).
thf(zip_derived_cl11114,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ nil @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl10988,zip_derived_cl10979]) ).
thf(zip_derived_cl11115,plain,
memberP @ nil @ sk__51,
inference(simplify,[status(thm)],[zip_derived_cl11114]) ).
thf(zip_derived_cl113_112,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl11121,plain,
~ ( ssItem @ sk__51 ),
inference('s_sup-',[status(thm)],[zip_derived_cl11115,zip_derived_cl113]) ).
thf(zip_derived_cl6604_113,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl6596]) ).
thf(zip_derived_cl11126,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11121,zip_derived_cl6604]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC295+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fisj84Upuo true
% 0.13/0.34 % Computer : n029.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 : Mon Aug 28 17:47:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.52/0.66 % Total configuration time : 435
% 0.52/0.66 % Estimated wc time : 1092
% 0.52/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.05/2.76 % Solved by fo/fo6_bce.sh.
% 15.05/2.76 % BCE start: 213
% 15.05/2.76 % BCE eliminated: 6
% 15.05/2.76 % PE start: 207
% 15.05/2.76 logic: eq
% 15.05/2.76 % PE eliminated: 6
% 15.05/2.76 % done 1397 iterations in 2.045s
% 15.05/2.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.05/2.76 % SZS output start Refutation
% See solution above
% 15.05/2.77
% 15.05/2.77
% 15.05/2.77 % Terminating...
% 15.47/2.86 % Runner terminated.
% 15.47/2.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------