%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC285+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vzB8MrT3au true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:59:14 PM UTC 2025
% Result : Theorem 31.83s 8.17s
% Output : Refutation 31.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 23
% Syntax : Number of formulae : 217 ( 75 unt; 0 typ; 0 def)
% Number of atoms : 658 ( 170 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1659 ( 303 ~; 363 |; 12 &; 915 @)
% ( 7 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 189 ( 0 ^; 183 !; 6 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__52_type,type,
sk__52: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(rearsegP_type,type,
rearsegP: $i > $i > $o ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__54_type,type,
sk__54: $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(sk__50_type,type,
sk__50: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(singletonP_type,type,
singletonP: $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( segmentP @ X @ 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 )
| ( leq @ X2 @ Y ) )
& ( ~ ( memberP @ X1 @ X2 )
| ( leq @ Y @ X2 ) ) ) ) ) ) ) )
| ( ~ ( singletonP @ W )
& ( neq @ X @ nil ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( segmentP @ X @ 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 )
| ( leq @ X2 @ Y ) )
& ( ~ ( memberP @ X1 @ X2 )
| ( leq @ Y @ X2 ) ) ) ) ) ) ) )
| ( ~ ( singletonP @ W )
& ( neq @ X @ nil ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl203,plain,
segmentP @ sk__50 @ sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204,plain,
sk__48 = sk__50,
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_cl1559,plain,
segmentP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl204,zip_derived_cl201]) ).
thf(ax54,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ~ ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl1885,plain,
( ~ ( ssList @ sk__48 )
| ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl133]) ).
thf(zip_derived_cl205,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl204_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1550,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl204]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1894,plain,
( ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1885,zip_derived_cl1550,zip_derived_cl190]) ).
thf(ax31,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( leq @ U @ U ) ) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( leq @ X0 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax31]) ).
thf(zip_derived_cl194,plain,
( ( memberP @ sk__52 @ sk__54 )
| ( memberP @ sk__53 @ sk__54 ) ),
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__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= 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_cl1658,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ( sk__47 != X0 )
| ~ ( ssList @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) )
| ( rearsegP @ X0 @ sk__53 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl17]) ).
thf(zip_derived_cl199,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1663,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ~ ( ssList @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) )
| ( rearsegP @ X0 @ sk__53 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1658,zip_derived_cl199]) ).
thf(zip_derived_cl1769,plain,
! [X0: $i] :
( ~ ( ssList @ sk__52 )
| ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__53 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1663]) ).
thf(zip_derived_cl192,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1787,plain,
! [X0: $i] :
( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__53 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1769,zip_derived_cl192]) ).
thf(zip_derived_cl1862,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__51 )
| ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__53 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl1787]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1863,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( rearsegP @ X0 @ sk__53 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1862,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_cl2216,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_cl2224,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_cl2216]) ).
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_cl5542,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_cl2224,zip_derived_cl16]) ).
thf(zip_derived_cl5545,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ sk__53 )
| ~ ( memberP @ sk__53 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1863,zip_derived_cl5542]) ).
thf(zip_derived_cl199_002,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5551,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 )
| ~ ( memberP @ sk__53 @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( ssItem @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl5545,zip_derived_cl199]) ).
thf(zip_derived_cl5552,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X1 )
| ( memberP @ X0 @ X1 )
| ~ ( memberP @ sk__53 @ X1 )
| ( sk__47 != X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5551]) ).
thf(zip_derived_cl5635,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5552]) ).
thf(zip_derived_cl190_003,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5636,plain,
! [X0: $i] :
( ~ ( memberP @ sk__53 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5635,zip_derived_cl190]) ).
thf(zip_derived_cl5688,plain,
( ( memberP @ sk__52 @ sk__54 )
| ( memberP @ sk__47 @ sk__54 )
| ~ ( ssItem @ sk__54 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl5636]) ).
thf(zip_derived_cl193,plain,
ssItem @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5691,plain,
( ( memberP @ sk__52 @ sk__54 )
| ( memberP @ sk__47 @ sk__54 ) ),
inference(demod,[status(thm)],[zip_derived_cl5688,zip_derived_cl193]) ).
thf(zip_derived_cl82_004,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl82_005,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl198_006,plain,
( ( app @ ( app @ sk__52 @ ( cons @ sk__51 @ nil ) ) @ sk__53 )
= 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_cl2857,plain,
( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ( sk__47
= ( app @ sk__52 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__53 ) ) )
| ~ ( ssList @ sk__53 )
| ~ ( ssList @ sk__52 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl172]) ).
thf(zip_derived_cl199_007,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_008,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2872,plain,
( ~ ( ssList @ ( cons @ sk__51 @ nil ) )
| ( sk__47
= ( app @ sk__52 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__53 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2857,zip_derived_cl199,zip_derived_cl192]) ).
thf(zip_derived_cl2913,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__51 )
| ( sk__47
= ( app @ sk__52 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__53 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl2872]) ).
thf(zip_derived_cl83_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_010,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2914,plain,
( sk__47
= ( app @ sk__52 @ ( app @ ( cons @ sk__51 @ nil ) @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2913,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl2940,plain,
( ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 )
| ( sk__47
= ( app @ sk__52 @ ( cons @ sk__51 @ sk__53 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl2914]) ).
thf(zip_derived_cl199_011,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_012,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2942,plain,
( sk__47
= ( app @ sk__52 @ ( cons @ sk__51 @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2940,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X1 )
| ( memberP @ ( app @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax36]) ).
thf(zip_derived_cl3020,plain,
! [X0: $i] :
( ~ ( ssList @ sk__52 )
| ~ ( memberP @ sk__52 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ sk__53 ) )
| ~ ( ssItem @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2942,zip_derived_cl108]) ).
thf(zip_derived_cl192_013,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3048,plain,
! [X0: $i] :
( ~ ( memberP @ sk__52 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssList @ ( cons @ sk__51 @ sk__53 ) )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3020,zip_derived_cl192]) ).
thf(zip_derived_cl6010,plain,
! [X0: $i] :
( ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__52 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3048]) ).
thf(zip_derived_cl199_014,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_015,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6011,plain,
! [X0: $i] :
( ~ ( memberP @ sk__52 @ X0 )
| ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6010,zip_derived_cl199,zip_derived_cl200]) ).
thf(zip_derived_cl6046,plain,
( ( memberP @ sk__47 @ sk__54 )
| ( memberP @ sk__47 @ sk__54 )
| ~ ( ssItem @ sk__54 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5691,zip_derived_cl6011]) ).
thf(zip_derived_cl193_016,plain,
ssItem @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6049,plain,
( ( memberP @ sk__47 @ sk__54 )
| ( memberP @ sk__47 @ sk__54 ) ),
inference(demod,[status(thm)],[zip_derived_cl6046,zip_derived_cl193]) ).
thf(zip_derived_cl6050,plain,
memberP @ sk__47 @ sk__54,
inference(simplify,[status(thm)],[zip_derived_cl6049]) ).
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(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl202,plain,
( ( singletonP @ sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1488,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( singletonP @ sk__49 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl202]) ).
thf(zip_derived_cl204_017,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1550_018,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl204]) ).
thf(zip_derived_cl204_019,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_020,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl201_021,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1578,plain,
( ( sk__48 = nil )
| ( singletonP @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1488,zip_derived_cl204,zip_derived_cl1550,zip_derived_cl204,zip_derived_cl83,zip_derived_cl201]) ).
thf(ax4,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ( cons @ V @ nil )
= U )
& ( ssItem @ V ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ( cons @ ( sk__4 @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
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_cl2008,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssItem @ ( sk__4 @ X0 ) )
| ( ( tl @ X0 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl94]) ).
thf(zip_derived_cl83_022,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2010,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssItem @ ( sk__4 @ X0 ) )
| ( ( tl @ X0 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2008,zip_derived_cl83]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ssItem @ ( sk__4 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2078,plain,
! [X0: $i] :
( ( ( tl @ X0 )
= nil )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2010,zip_derived_cl10]) ).
thf(zip_derived_cl2082,plain,
( ( sk__48 = nil )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1578,zip_derived_cl2078]) ).
thf(zip_derived_cl190_023,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2084,plain,
( ( sk__48 = nil )
| ( ( tl @ sk__47 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2082,zip_derived_cl190]) ).
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_cl2700,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2084,zip_derived_cl168]) ).
thf(zip_derived_cl190_024,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2703,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2700,zip_derived_cl190]) ).
thf(zip_derived_cl2942_025,plain,
( sk__47
= ( app @ sk__52 @ ( cons @ sk__51 @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2940,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_cl3043,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ~ ( ssList @ sk__53 )
| ( sk__47 != X0 )
| ~ ( ssList @ sk__52 )
| ( memberP @ X0 @ sk__51 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2942,zip_derived_cl8]) ).
thf(zip_derived_cl200_026,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_027,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_028,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3071,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__51 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3043,zip_derived_cl200,zip_derived_cl199,zip_derived_cl192]) ).
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_cl3382,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X1 @ X0 ) )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( memberP @ X0 @ sk__51 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3071,zip_derived_cl110]) ).
thf(zip_derived_cl200_029,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3385,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ ( cons @ X1 @ X0 ) )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( memberP @ X0 @ sk__51 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3382,zip_derived_cl200]) ).
thf(zip_derived_cl82_030,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl6809,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ X0 @ sk__51 )
| ( sk__51 = X1 )
| ~ ( ssItem @ X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3385,zip_derived_cl82]) ).
thf(zip_derived_cl6811,plain,
( ( nil = sk__47 )
| ( sk__48 = nil )
| ~ ( ssList @ nil )
| ( memberP @ nil @ sk__51 )
| ( sk__51
= ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2703,zip_derived_cl6809]) ).
thf(zip_derived_cl83_031,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6817,plain,
( ( nil = sk__47 )
| ( sk__48 = nil )
| ( memberP @ nil @ sk__51 )
| ( sk__51
= ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl6811,zip_derived_cl83]) ).
thf(zip_derived_cl6818,plain,
( ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__51
= ( hd @ sk__47 ) )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6817]) ).
thf(zip_derived_cl3071_032,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__51 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3043,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_cl3383,plain,
( ~ ( ssList @ nil )
| ( sk__47 != nil )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3071,zip_derived_cl113]) ).
thf(zip_derived_cl83_033,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200_034,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3386,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3383,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl6819,plain,
( ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__51
= ( hd @ sk__47 ) )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6818,zip_derived_cl3386]) ).
thf(zip_derived_cl7099,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( sk__51
= ( hd @ sk__47 ) )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl6819]) ).
thf(zip_derived_cl190_035,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7101,plain,
( ( nil = sk__47 )
| ( sk__51
= ( hd @ sk__47 ) )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl7099,zip_derived_cl190]) ).
thf(zip_derived_cl3386_036,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3383,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7102,plain,
( ( sk__51
= ( hd @ sk__47 ) )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7101,zip_derived_cl3386]) ).
thf(zip_derived_cl2703_037,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2700,zip_derived_cl190]) ).
thf(zip_derived_cl7123,plain,
( ( sk__48 = nil )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7102,zip_derived_cl2703]) ).
thf(zip_derived_cl7173,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl7123]) ).
thf(zip_derived_cl3386_038,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3383,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl7174,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( memberP @ nil @ sk__51 )
| ( sk__48 = nil ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7173,zip_derived_cl3386]) ).
thf(zip_derived_cl113_039,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl7252,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7174,zip_derived_cl113]) ).
thf(zip_derived_cl200_040,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7253,plain,
( ( sk__48 = nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl7252,zip_derived_cl200]) ).
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_cl7258,plain,
( ( sk__48 = nil )
| ~ ( ssItem @ sk__51 )
| ( ( hd @ sk__47 )
= sk__51 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7253,zip_derived_cl92]) ).
thf(zip_derived_cl200_041,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_042,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl7412,plain,
( ( sk__48 = nil )
| ( ( hd @ sk__47 )
= sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl7258,zip_derived_cl200,zip_derived_cl83]) ).
thf(zip_derived_cl2703_043,plain,
( ( sk__48 = nil )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2700,zip_derived_cl190]) ).
thf(zip_derived_cl110_044,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_cl2765,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ( sk__48 = nil )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0
= ( hd @ sk__47 ) )
| ( memberP @ nil @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2703,zip_derived_cl110]) ).
thf(zip_derived_cl83_045,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2796,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ( sk__48 = nil )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0
= ( hd @ sk__47 ) )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2765,zip_derived_cl83]) ).
thf(zip_derived_cl3386_046,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3383,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl5340,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0
= ( hd @ sk__47 ) )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2796,zip_derived_cl3386]) ).
thf(zip_derived_cl113_047,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl5341,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0
= ( hd @ sk__47 ) )
| ~ ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl5340,zip_derived_cl113]) ).
thf(zip_derived_cl7768,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ sk__51 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7412,zip_derived_cl5341]) ).
thf(zip_derived_cl200_048,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7848,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( sk__48 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl7768,zip_derived_cl200]) ).
thf(zip_derived_cl7849,plain,
! [X0: $i] :
( ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ~ ( ssItem @ X0 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl7848]) ).
thf(zip_derived_cl12106,plain,
( ( sk__54 = sk__51 )
| ~ ( ssItem @ sk__54 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6050,zip_derived_cl7849]) ).
thf(zip_derived_cl193_049,plain,
ssItem @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12113,plain,
( ( sk__54 = sk__51 )
| ( sk__48 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl12106,zip_derived_cl193]) ).
thf(zip_derived_cl197,plain,
( ~ ( leq @ sk__54 @ sk__51 )
| ~ ( leq @ sk__51 @ sk__54 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12168,plain,
( ( sk__48 = nil )
| ~ ( leq @ sk__51 @ sk__51 )
| ~ ( leq @ sk__51 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12113,zip_derived_cl197]) ).
thf(zip_derived_cl12170,plain,
( ~ ( leq @ sk__51 @ sk__51 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl12168]) ).
thf(zip_derived_cl12174,plain,
( ~ ( ssItem @ sk__51 )
| ( sk__48 = nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl12170]) ).
thf(zip_derived_cl200_050,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12175,plain,
sk__48 = nil,
inference(demod,[status(thm)],[zip_derived_cl12174,zip_derived_cl200]) ).
thf(zip_derived_cl12175_051,plain,
sk__48 = nil,
inference(demod,[status(thm)],[zip_derived_cl12174,zip_derived_cl200]) ).
thf(ax57,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( segmentP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax57]) ).
thf(zip_derived_cl82_052,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl2942_053,plain,
( sk__47
= ( app @ sk__52 @ ( cons @ sk__51 @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2940,zip_derived_cl199,zip_derived_cl200]) ).
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(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_cl1695,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ nil )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).
thf(zip_derived_cl83_054,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1695,zip_derived_cl83]) ).
thf(zip_derived_cl1707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1706]) ).
thf(zip_derived_cl1801,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( segmentP @ ( app @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ ( app @ X0 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1707]) ).
thf(zip_derived_cl95_055,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( app @ X1 @ X0 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl1954,plain,
! [X0: $i,X1: $i] :
( ( segmentP @ ( app @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1801,zip_derived_cl95]) ).
thf(zip_derived_cl3038,plain,
( ( segmentP @ sk__47 @ sk__52 )
| ~ ( ssList @ ( cons @ sk__51 @ sk__53 ) )
| ~ ( ssList @ sk__52 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2942,zip_derived_cl1954]) ).
thf(zip_derived_cl192_056,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3066,plain,
( ( segmentP @ sk__47 @ sk__52 )
| ~ ( ssList @ ( cons @ sk__51 @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3038,zip_derived_cl192]) ).
thf(zip_derived_cl3138,plain,
( ~ ( ssList @ sk__53 )
| ~ ( ssItem @ sk__51 )
| ( segmentP @ sk__47 @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3066]) ).
thf(zip_derived_cl199_057,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl200_058,plain,
ssItem @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3139,plain,
segmentP @ sk__47 @ sk__52,
inference(demod,[status(thm)],[zip_derived_cl3138,zip_derived_cl199,zip_derived_cl200]) ).
thf(ax53,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ W ) )
=> ( segmentP @ U @ W ) ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( segmentP @ X0 @ X2 )
| ( segmentP @ X1 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax53]) ).
thf(zip_derived_cl3140,plain,
! [X0: $i] :
( ~ ( ssList @ sk__52 )
| ~ ( segmentP @ sk__52 @ X0 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3139,zip_derived_cl132]) ).
thf(zip_derived_cl192_059,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190_060,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3143,plain,
! [X0: $i] :
( ~ ( segmentP @ sk__52 @ X0 )
| ( segmentP @ sk__47 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3140,zip_derived_cl192,zip_derived_cl190]) ).
thf(zip_derived_cl3294,plain,
( ~ ( ssList @ sk__52 )
| ( segmentP @ sk__47 @ nil )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl3143]) ).
thf(zip_derived_cl192_061,plain,
ssList @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_062,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3303,plain,
segmentP @ sk__47 @ nil,
inference(demod,[status(thm)],[zip_derived_cl3294,zip_derived_cl192,zip_derived_cl83]) ).
thf(zip_derived_cl12179,plain,
sk__47 = nil,
inference(demod,[status(thm)],[zip_derived_cl1894,zip_derived_cl12175,zip_derived_cl12175,zip_derived_cl3303]) ).
thf(zip_derived_cl3386_063,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3383,zip_derived_cl83,zip_derived_cl200]) ).
thf(zip_derived_cl12180,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12179,zip_derived_cl3386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.37 % Problem : SWC285+1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.38 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vzB8MrT3au true
% 0.13/0.57 % Computer : n011.cluster.edu
% 0.13/0.57 % Model : x86_64 x86_64
% 0.13/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.57 % Memory : 8042.1875MB
% 0.13/0.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.57 % CPULimit : 300
% 0.13/0.57 % WCLimit : 300
% 0.13/0.57 % DateTime : Wed Oct 1 17:13:23 EDT 2025
% 0.13/0.58 % CPUTime :
% 0.13/0.58 % Running portfolio for 300 s
% 0.13/0.58 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.58 % Number of cores: 8
% 0.13/0.59 % Python version: Python 3.6.8
% 0.13/0.61 % Running in FO mode
% 0.16/0.91 % Total configuration time : 435
% 0.16/0.91 % Estimated wc time : 1092
% 0.16/0.91 % Estimated cpu time (7 cpus) : 156.0
% 0.16/1.06 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.18/1.12 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/1.14 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.21/1.16 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.21/1.16 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.21/1.17 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.21/1.18 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.83/8.17 % Solved by fo/fo6_bce.sh.
% 31.83/8.17 % BCE start: 207
% 31.83/8.17 % BCE eliminated: 4
% 31.83/8.17 % PE start: 203
% 31.83/8.17 logic: eq
% 31.83/8.17 % PE eliminated: 6
% 31.83/8.17 % done 1878 iterations in 6.989s
% 31.83/8.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.83/8.17 % SZS output start Refutation
% See solution above
% 31.83/8.18
% 31.83/8.18
% 31.83/8.18 % Terminating...
% 32.17/8.32 % Runner terminated.
% 32.24/8.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------