TSTP Solution File: SWC088+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC088+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1PZO1FTcvX true
% Computer : n001.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 21:29:04 EDT 2023
% Result : Theorem 232.44s 34.17s
% Output : Refutation 232.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 32
% Syntax : Number of formulae : 250 ( 72 unt; 15 typ; 0 def)
% Number of atoms : 797 ( 259 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 2342 ( 485 ~; 504 |; 18 &;1295 @)
% ( 2 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 272 ( 0 ^; 262 !; 10 ?; 272 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__44_type,type,
sk__44: $i > $i ).
thf(sk__43_type,type,
sk__43: $i > $i ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(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(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(ax27,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl2005,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl96]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2012,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2005,zip_derived_cl83]) ).
thf(zip_derived_cl2013,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2012]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ? [Z: $i] :
( ? [X1: $i] :
( ( ( app @ ( cons @ Z @ nil ) @ X1 )
= X )
& ( ( app @ X1 @ ( cons @ Z @ nil ) )
!= W )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) )
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( segmentP @ U @ Y )
& ( segmentP @ V @ Y )
& ( neq @ Y @ nil )
& ( ssList @ Y ) )
| ? [Z: $i] :
( ? [X1: $i] :
( ( ( app @ ( cons @ Z @ nil ) @ X1 )
= X )
& ( ( app @ X1 @ ( cons @ Z @ nil ) )
!= W )
& ( ssList @ X1 ) )
& ( ssItem @ Z ) )
| ( ( nil != W )
& ( nil = X ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl196,plain,
! [X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ X1 @ ( cons @ X2 @ nil ) )
= sk__49 )
| ( ( app @ ( cons @ X2 @ nil ) @ X1 )
!= sk__50 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3271,plain,
! [X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ X1 @ ( cons @ X2 @ nil ) )
= sk__47 )
| ( ( app @ ( cons @ X2 @ nil ) @ X1 )
!= sk__48 )
| ~ ( ssItem @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl194,zip_derived_cl197]) ).
thf(zip_derived_cl3275,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2013,zip_derived_cl3271]) ).
thf(zip_derived_cl3281,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3275]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl1961,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( sk__44 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__44 @ X0 ) )
| ~ ( ssList @ ( sk__43 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl92]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl8344,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1961,zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( ssList @ ( sk__43 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl8345,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( hd @ X0 )
= ( sk__44 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8344,zip_derived_cl89]) ).
thf(zip_derived_cl87_001,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl87_002,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl89_003,plain,
! [X0: $i] :
( ( ssList @ ( sk__43 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl88_004,plain,
! [X0: $i] :
( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3281_005,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3275]) ).
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_cl5343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X2 )
!= sk__48 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( sk__47
!= ( app @ X1 @ ( cons @ X0 @ nil ) ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3281,zip_derived_cl169]) ).
thf(zip_derived_cl5460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( X2 = X1 )
| ( sk__47
!= ( app @ X1 @ ( cons @ X0 @ nil ) ) )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ( ( cons @ X0 @ X2 )
!= sk__48 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5343]) ).
thf(zip_derived_cl9870,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ X1 )
| ( ( sk__43 @ X0 )
= X1 )
| ( sk__47
!= ( app @ X1 @ ( cons @ ( sk__44 @ X0 ) @ nil ) ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ X0 ) @ nil ) )
| ( X0 != sk__48 )
| ~ ( ssItem @ ( sk__44 @ X0 ) )
| ~ ( ssList @ ( sk__43 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl5460]) ).
thf(zip_derived_cl57932,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9870]) ).
thf(zip_derived_cl198,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197_006,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1548,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl57933,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl57932,zip_derived_cl1548]) ).
thf(zip_derived_cl193,plain,
neq @ sk__48 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1494,plain,
( ~ ( ssList @ sk__48 )
| ( sk__48 != nil )
| ~ ( ssList @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl193,zip_derived_cl80]) ).
thf(zip_derived_cl1548_007,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1549,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl57934,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__43 @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl57933,zip_derived_cl1549]) ).
thf(zip_derived_cl59085,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl57934]) ).
thf(zip_derived_cl1548_009,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl59088,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl59085,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_010,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl59089,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl59088,zip_derived_cl1549]) ).
thf(zip_derived_cl60863,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl59089]) ).
thf(zip_derived_cl1548_011,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl60865,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl60863,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_012,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl60866,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl60865,zip_derived_cl1549]) ).
thf(zip_derived_cl61021,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl60866]) ).
thf(zip_derived_cl83_013,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl61024,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61021,zip_derived_cl83]) ).
thf(zip_derived_cl61126,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl61024]) ).
thf(zip_derived_cl1548_014,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl61128,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61126,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_015,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl61129,plain,
! [X0: $i] :
( ( sk__47
!= ( app @ X0 @ ( cons @ ( sk__44 @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61128,zip_derived_cl1549]) ).
thf(zip_derived_cl61180,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( hd @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8345,zip_derived_cl61129]) ).
thf(zip_derived_cl1548_016,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl61199,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( sk__47
!= ( app @ X0 @ ( cons @ ( hd @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61180,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_017,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl61200,plain,
! [X0: $i] :
( ( sk__47
!= ( app @ X0 @ ( cons @ ( hd @ sk__48 ) @ nil ) ) )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61199,zip_derived_cl1549]) ).
thf(zip_derived_cl62823,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ ( hd @ sk__48 ) )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ( sk__47 != sk__47 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3281,zip_derived_cl61200]) ).
thf(zip_derived_cl62858,plain,
! [X0: $i] :
( ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssItem @ ( hd @ sk__48 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl62823]) ).
thf(zip_derived_cl71321,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl62858]) ).
thf(zip_derived_cl1548_018,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl71322,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl71321,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_019,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl71323,plain,
! [X0: $i] :
( ( ( sk__43 @ sk__48 )
= X0 )
| ( ( cons @ ( hd @ sk__48 ) @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl71322,zip_derived_cl1549]) ).
thf(zip_derived_cl83107,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl71323]) ).
thf(zip_derived_cl1548_020,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl83108,plain,
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl83107,zip_derived_cl1548]) ).
thf(zip_derived_cl83109,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl83108]) ).
thf(zip_derived_cl1549_021,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl83110,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83109,zip_derived_cl1549]) ).
thf(zip_derived_cl83117,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl83110]) ).
thf(zip_derived_cl1548_022,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl83118,plain,
( ( nil = sk__48 )
| ( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl83117,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_023,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl83119,plain,
( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83118,zip_derived_cl1549]) ).
thf(zip_derived_cl88_024,plain,
! [X0: $i] :
( ( ( cons @ ( sk__44 @ X0 ) @ ( sk__43 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl83354,plain,
( ( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83119,zip_derived_cl88]) ).
thf(zip_derived_cl1548_025,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl83366,plain,
( ( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl83354,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_026,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl83367,plain,
( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83366,zip_derived_cl1549]) ).
thf(zip_derived_cl2013_027,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2012]) ).
thf(zip_derived_cl96_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ X1 @ ( app @ X0 @ X2 ) )
= ( app @ ( cons @ X1 @ X0 ) @ X2 ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl82_029,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl3281_030,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3275]) ).
thf(ax7,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ? [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
= U )
& ( ssList @ X ) )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl5392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ ( app @ X3 @ X2 ) )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ ( app @ X3 @ X2 ) )
!= sk__48 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ( sk__47 != X0 )
| ~ ( ssList @ X3 )
| ( segmentP @ X0 @ X2 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3281,zip_derived_cl21]) ).
thf(zip_derived_cl8691,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ sk__47 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ ( cons @ X2 @ nil ) )
| ~ ( ssList @ X0 )
| ( ( cons @ X2 @ ( app @ X1 @ X0 ) )
!= sk__48 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5392]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ ( cons @ X2 @ nil ) )
| ~ ( ssList @ X0 )
| ( ( cons @ X2 @ ( app @ X1 @ X0 ) )
!= sk__48 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ ( app @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8691,zip_derived_cl190]) ).
thf(ax26,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl21234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X2 )
| ( ( cons @ X2 @ ( app @ X1 @ X0 ) )
!= sk__48 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ X2 @ nil ) )
| ~ ( ssList @ X1 )
| ( segmentP @ sk__47 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl8692,zip_derived_cl95]) ).
thf(zip_derived_cl21235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ ( app @ X2 @ X1 ) )
!= sk__48 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( segmentP @ sk__47 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl21234]) ).
thf(zip_derived_cl83_031,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl21238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ ( app @ X2 @ X1 ) )
!= sk__48 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( segmentP @ sk__47 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl21235,zip_derived_cl83]) ).
thf(zip_derived_cl21239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( segmentP @ sk__47 @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ( ( cons @ X0 @ ( app @ X2 @ X1 ) )
!= sk__48 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21238]) ).
thf(zip_derived_cl21271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ X1 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ ( cons @ X2 @ X1 ) @ X0 )
!= sk__48 )
| ~ ( ssItem @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl21239]) ).
thf(zip_derived_cl21319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( app @ ( cons @ X2 @ X1 ) @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21271]) ).
thf(zip_derived_cl21400,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2013,zip_derived_cl21319]) ).
thf(zip_derived_cl83_032,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl21422,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21400,zip_derived_cl83]) ).
thf(zip_derived_cl21423,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ sk__47 @ X0 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21422]) ).
thf(zip_derived_cl93769,plain,
( ( segmentP @ sk__47 @ ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl83367,zip_derived_cl21423]) ).
thf(zip_derived_cl83119_033,plain,
( ( sk__43 @ sk__48 )
= ( tl @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83118,zip_derived_cl1549]) ).
thf(zip_derived_cl89_034,plain,
! [X0: $i] :
( ( ssList @ ( sk__43 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl83355,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83119,zip_derived_cl89]) ).
thf(zip_derived_cl1548_035,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl83368,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl83355,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_036,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl83369,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83368,zip_derived_cl1549]) ).
thf(zip_derived_cl94374,plain,
( ( segmentP @ sk__47 @ ( tl @ sk__48 ) )
| ( sk__48 != sk__48 )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl93769,zip_derived_cl83369]) ).
thf(zip_derived_cl94375,plain,
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( segmentP @ sk__47 @ ( tl @ sk__48 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl94374]) ).
thf(zip_derived_cl87_037,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl83367_038,plain,
( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83366,zip_derived_cl1549]) ).
thf(zip_derived_cl92_039,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl93551,plain,
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83367,zip_derived_cl92]) ).
thf(zip_derived_cl83369_040,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83368,zip_derived_cl1549]) ).
thf(zip_derived_cl94086,plain,
( ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl93551,zip_derived_cl83369]) ).
thf(zip_derived_cl95314,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl94086]) ).
thf(zip_derived_cl1548_041,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl95316,plain,
( ( nil = sk__48 )
| ( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl95314,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_042,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl95317,plain,
( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95316,zip_derived_cl1549]) ).
thf(zip_derived_cl95317_043,plain,
( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95316,zip_derived_cl1549]) ).
thf(zip_derived_cl87_044,plain,
! [X0: $i] :
( ( ssItem @ ( sk__44 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl95706,plain,
( ( ssItem @ ( hd @ sk__48 ) )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl95317,zip_derived_cl87]) ).
thf(zip_derived_cl1548_045,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl95717,plain,
( ( ssItem @ ( hd @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl95706,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_046,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl95718,plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95717,zip_derived_cl1549]) ).
thf(zip_derived_cl100265,plain,
segmentP @ sk__47 @ ( tl @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl94375,zip_derived_cl95317,zip_derived_cl95718]) ).
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_cl192,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( X0 = nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( segmentP @ sk__47 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl192]) ).
thf(zip_derived_cl1773,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ nil )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1492]) ).
thf(zip_derived_cl83_047,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1774,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ( X0 = nil )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1773,zip_derived_cl83]) ).
thf(zip_derived_cl100269,plain,
( ~ ( segmentP @ sk__48 @ ( tl @ sk__48 ) )
| ( ( tl @ sk__48 )
= nil )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100265,zip_derived_cl1774]) ).
thf(zip_derived_cl83367_048,plain,
( ( cons @ ( sk__44 @ sk__48 ) @ ( tl @ sk__48 ) )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83366,zip_derived_cl1549]) ).
thf(ax84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(zip_derived_cl96_049,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_cl2000,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl176,zip_derived_cl96]) ).
thf(zip_derived_cl83_050,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2009,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2000,zip_derived_cl83]) ).
thf(zip_derived_cl2010,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ X0 ) @ nil ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2009]) ).
thf(zip_derived_cl82_051,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl2013_052,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
= ( app @ ( cons @ X1 @ nil ) @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2012]) ).
thf(zip_derived_cl21_053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X3 )
| ( ( app @ ( cons @ X1 @ X0 ) @ X3 )
!= X2 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2013,zip_derived_cl21]) ).
thf(zip_derived_cl2351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ ( cons @ X1 @ nil ) )
| ( ( app @ ( cons @ X1 @ X0 ) @ X3 )
!= X2 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2324]) ).
thf(zip_derived_cl2418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X2 )
| ( ( app @ ( cons @ X0 @ X2 ) @ X3 )
!= X1 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2351]) ).
thf(zip_derived_cl83_054,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X2 )
| ( ( app @ ( cons @ X0 @ X2 ) @ X3 )
!= X1 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2418,zip_derived_cl83]) ).
thf(zip_derived_cl2420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssList @ X3 )
| ( ( app @ ( cons @ X0 @ X2 ) @ X3 )
!= X1 )
| ( segmentP @ X1 @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2419]) ).
thf(zip_derived_cl6617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ( cons @ X1 @ X0 )
!= X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2010,zip_derived_cl2420]) ).
thf(zip_derived_cl83_055,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 )
| ( ( cons @ X1 @ X0 )
!= X2 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6617,zip_derived_cl83]) ).
thf(zip_derived_cl6688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( segmentP @ X2 @ X0 )
| ( ( cons @ X1 @ X0 )
!= X2 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6687]) ).
thf(zip_derived_cl6718,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( segmentP @ ( cons @ X1 @ X0 ) @ X0 )
| ~ ( ssList @ ( cons @ X1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6688]) ).
thf(zip_derived_cl82_056,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl9830,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ ( cons @ X1 @ X0 ) @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6718,zip_derived_cl82]) ).
thf(zip_derived_cl93752,plain,
( ( segmentP @ sk__48 @ ( tl @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83367,zip_derived_cl9830]) ).
thf(zip_derived_cl83369_057,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83368,zip_derived_cl1549]) ).
thf(zip_derived_cl94352,plain,
( ( segmentP @ sk__48 @ ( tl @ sk__48 ) )
| ~ ( ssItem @ ( sk__44 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl93752,zip_derived_cl83369]) ).
thf(zip_derived_cl95317_058,plain,
( ( hd @ sk__48 )
= ( sk__44 @ sk__48 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95316,zip_derived_cl1549]) ).
thf(zip_derived_cl95718_059,plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95717,zip_derived_cl1549]) ).
thf(zip_derived_cl99892,plain,
segmentP @ sk__48 @ ( tl @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl94352,zip_derived_cl95317,zip_derived_cl95718]) ).
thf(zip_derived_cl83369_060,plain,
ssList @ ( tl @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83368,zip_derived_cl1549]) ).
thf(zip_derived_cl100273,plain,
( ( tl @ sk__48 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl100269,zip_derived_cl99892,zip_derived_cl83369]) ).
thf(zip_derived_cl168_061,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl100312,plain,
( ( nil = sk__48 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl100273,zip_derived_cl168]) ).
thf(zip_derived_cl1548_062,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl100379,plain,
( ( nil = sk__48 )
| ( ( cons @ ( hd @ sk__48 ) @ nil )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl100312,zip_derived_cl1548]) ).
thf(zip_derived_cl1549_063,plain,
sk__48 != nil,
inference(demod,[status(thm)],[zip_derived_cl1494,zip_derived_cl1548,zip_derived_cl83]) ).
thf(zip_derived_cl100380,plain,
( ( cons @ ( hd @ sk__48 ) @ nil )
= sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl100379,zip_derived_cl1549]) ).
thf(zip_derived_cl3281_064,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( ( app @ X0 @ ( cons @ X1 @ nil ) )
= sk__47 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3275]) ).
thf(zip_derived_cl176_065,plain,
! [X0: $i] :
( ( ( app @ X0 @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax84]) ).
thf(ax82,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( app @ X1 @ X0 ) @ X2 )
= ( app @ X1 @ ( app @ X0 @ X2 ) ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax82]) ).
thf(zip_derived_cl21_066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ X0 ) @ X1 )
!= X2 )
| ~ ( ssList @ X3 )
| ( segmentP @ X2 @ X0 )
| ~ ( ssList @ X2 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ( ( app @ X2 @ ( app @ X1 @ X0 ) )
!= X3 )
| ~ ( ssList @ X2 )
| ( segmentP @ X3 @ X1 )
| ~ ( ssList @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl21]) ).
thf(zip_derived_cl2950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X3 )
| ( segmentP @ X3 @ X1 )
| ( ( app @ X2 @ ( app @ X1 @ X0 ) )
!= X3 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2891]) ).
thf(zip_derived_cl2961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl2950]) ).
thf(zip_derived_cl83_067,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2977,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2961,zip_derived_cl83]) ).
thf(zip_derived_cl2978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ( ( app @ X2 @ X0 )
!= X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2977]) ).
thf(zip_derived_cl5344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X2 )
!= sk__48 )
| ~ ( ssList @ X2 )
| ( sk__47 != X0 )
| ( segmentP @ X0 @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ X0 )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3281,zip_derived_cl2978]) ).
thf(zip_derived_cl5461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ X0 )
| ( segmentP @ X0 @ ( cons @ X1 @ nil ) )
| ( sk__47 != X0 )
| ( ( cons @ X1 @ X2 )
!= sk__48 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5344]) ).
thf(zip_derived_cl9907,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ sk__47 )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5461]) ).
thf(zip_derived_cl190_068,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9908,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( ( cons @ X1 @ X0 )
!= sk__48 )
| ( segmentP @ sk__47 @ ( cons @ X1 @ nil ) )
| ~ ( ssList @ ( cons @ X1 @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9907,zip_derived_cl190]) ).
thf(zip_derived_cl101414,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__48 ) )
| ( sk__48 != sk__48 )
| ( segmentP @ sk__47 @ sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100380,zip_derived_cl9908]) ).
thf(zip_derived_cl83_069,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl95718_070,plain,
ssItem @ ( hd @ sk__48 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl95717,zip_derived_cl1549]) ).
thf(ax55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( segmentP @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax55]) ).
thf(zip_derived_cl193_071,plain,
neq @ sk__48 @ nil,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_072,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1497,plain,
! [X0: $i] :
( ( sk__48 != X0 )
| ( nil != nil )
| ~ ( ssList @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( segmentP @ sk__47 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl193,zip_derived_cl192]) ).
thf(zip_derived_cl1617,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__47 @ X0 )
| ~ ( segmentP @ sk__48 @ X0 )
| ~ ( ssList @ X0 )
| ( sk__48 != X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1497]) ).
thf(zip_derived_cl1618,plain,
( ~ ( ssList @ sk__48 )
| ~ ( segmentP @ sk__48 @ sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1617]) ).
thf(zip_derived_cl1548_073,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl1619,plain,
( ~ ( segmentP @ sk__48 @ sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1618,zip_derived_cl1548]) ).
thf(zip_derived_cl1632,plain,
( ~ ( ssList @ sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl1619]) ).
thf(zip_derived_cl1548_074,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl1633,plain,
~ ( segmentP @ sk__47 @ sk__48 ),
inference(demod,[status(thm)],[zip_derived_cl1632,zip_derived_cl1548]) ).
thf(zip_derived_cl1548_075,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl197]) ).
thf(zip_derived_cl102712,plain,
sk__48 != sk__48,
inference(demod,[status(thm)],[zip_derived_cl101414,zip_derived_cl83,zip_derived_cl95718,zip_derived_cl1633,zip_derived_cl1548]) ).
thf(zip_derived_cl102713,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl102712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC088+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1PZO1FTcvX true
% 0.14/0.35 % Computer : n001.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 15:26:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.67/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 232.44/34.17 % Solved by fo/fo6_bce.sh.
% 232.44/34.17 % BCE start: 200
% 232.44/34.17 % BCE eliminated: 2
% 232.44/34.17 % PE start: 198
% 232.44/34.17 logic: eq
% 232.44/34.17 % PE eliminated: 7
% 232.44/34.17 % done 7841 iterations in 33.399s
% 232.44/34.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 232.44/34.17 % SZS output start Refutation
% See solution above
% 232.44/34.17
% 232.44/34.17
% 232.44/34.18 % Terminating...
% 232.70/34.27 % Runner terminated.
% 232.70/34.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------