%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC184+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.inkrLyWGC4 true
% Computer : n007.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 04:58:53 PM UTC 2025
% Result : Theorem 19.65s 3.43s
% Output : Refutation 19.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 19
% Syntax : Number of formulae : 213 ( 83 unt; 0 typ; 0 def)
% Number of atoms : 610 ( 235 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 1587 ( 301 ~; 326 |; 14 &; 889 @)
% ( 4 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 185 ( 0 ^; 181 !; 4 ?; 185 :)
% Comments :
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__54_type,type,
sk__54: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__52_type,type,
sk__52: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__53_type,type,
sk__53: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ( nil != W )
| ( nil != X ) )
& ! [X2: $i] :
( ? [X3: $i] :
( ( leq @ X3 @ X2 )
& ( memberP @ X @ X3 )
& ( X2 != X3 )
& ( ssItem @ X3 ) )
| ~ ( memberP @ X @ X2 )
| ( ( cons @ X2 @ nil )
!= W )
| ~ ( ssItem @ X2 ) ) )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ~ ( memberP @ X1 @ Y )
& ~ ( memberP @ Z @ Y ) )
| ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ~ ( ssList @ X1 ) ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ( ( nil != W )
| ( nil != X ) )
& ! [X2: $i] :
( ? [X3: $i] :
( ( leq @ X3 @ X2 )
& ( memberP @ X @ X3 )
& ( X2 != X3 )
& ( ssItem @ X3 ) )
| ~ ( memberP @ X @ X2 )
| ( ( cons @ X2 @ nil )
!= W )
| ~ ( ssItem @ X2 ) ) )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ~ ( memberP @ X1 @ Y )
& ~ ( memberP @ Z @ Y ) )
| ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ~ ( ssList @ X1 ) ) ) )
| ( U != W )
| ( V != X )
| ~ ( ssList @ X ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
( ( memberP @ sk__54 @ sk__52 )
| ( memberP @ sk__53 @ sk__52 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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_cl194,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax82,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ ( app @ X1 @ X0 ) @ X2 )
= ( app @ X1 @ ( app @ X0 @ X2 ) ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax82]) ).
thf(zip_derived_cl3201,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) )
| ~ ( ssList @ sk__54 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl172]) ).
thf(zip_derived_cl195,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3220,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3201,zip_derived_cl195,zip_derived_cl192]) ).
thf(zip_derived_cl3685,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ sk__52 )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3220]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl196,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3686,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3685,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl3753,plain,
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__52 )
| ( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl3686]) ).
thf(zip_derived_cl195_001,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_002,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3755,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3753,zip_derived_cl195,zip_derived_cl196]) ).
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_cl3827,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__52 )
| ~ ( ssList @ sk__54 )
| ( sk__47 != X0 )
| ~ ( ssList @ sk__53 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3755,zip_derived_cl8]) ).
thf(zip_derived_cl196_003,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195_004,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_005,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3855,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3827,zip_derived_cl196,zip_derived_cl195,zip_derived_cl192]) ).
thf(zip_derived_cl201,plain,
( ( nil = sk__49 )
| ( ssItem @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1529,plain,
( ( nil = sk__47 )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl197]) ).
thf(zip_derived_cl200,plain,
( ( nil = sk__49 )
| ( ( cons @ sk__51 @ nil )
= sk__49 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197_006,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197_007,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1535,plain,
( ( nil = sk__47 )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl197,zip_derived_cl197]) ).
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_cl2281,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl110]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2284,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2281,zip_derived_cl83]) ).
thf(zip_derived_cl3855_009,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3827,zip_derived_cl196,zip_derived_cl195,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_cl3865,plain,
( ~ ( ssList @ nil )
| ( sk__47 != nil )
| ~ ( ssItem @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3855,zip_derived_cl113]) ).
thf(zip_derived_cl83_010,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl196_011,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3869,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6256,plain,
! [X0: $i] :
( ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ( X0 = sk__51 )
| ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2284,zip_derived_cl3869]) ).
thf(zip_derived_cl113_012,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl6257,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ sk__51 ) ),
inference(clc,[status(thm)],[zip_derived_cl6256,zip_derived_cl113]) ).
thf(zip_derived_cl6258,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl6257]) ).
thf(zip_derived_cl3869_013,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6260,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6258,zip_derived_cl3869]) ).
thf(zip_derived_cl6261,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 != sk__47 )
| ~ ( ssItem @ sk__52 )
| ( sk__52 = sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3855,zip_derived_cl6260]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_014,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6265,plain,
( ( sk__47 != sk__47 )
| ( sk__52 = sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6261,zip_derived_cl190,zip_derived_cl196]) ).
thf(zip_derived_cl6266,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6266_015,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6269,plain,
( ( memberP @ sk__54 @ sk__51 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl6266,zip_derived_cl6266]) ).
thf(zip_derived_cl1535_016,plain,
( ( nil = sk__47 )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl197,zip_derived_cl197]) ).
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_cl2035,plain,
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl94]) ).
thf(zip_derived_cl83_017,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2037,plain,
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2035,zip_derived_cl83]) ).
thf(zip_derived_cl1529_018,plain,
( ( nil = sk__47 )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl197]) ).
thf(zip_derived_cl2039,plain,
( ( ( tl @ sk__47 )
= nil )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl2037,zip_derived_cl1529]) ).
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_cl2946,plain,
( ( nil = sk__47 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2039,zip_derived_cl168]) ).
thf(zip_derived_cl190_019,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2951,plain,
( ( nil = sk__47 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2946,zip_derived_cl190]) ).
thf(zip_derived_cl2952,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2951]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl2952_020,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2951]) ).
thf(zip_derived_cl1529_021,plain,
( ( nil = sk__47 )
| ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl197]) ).
thf(zip_derived_cl1535_022,plain,
( ( nil = sk__47 )
| ( ( cons @ sk__51 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl197,zip_derived_cl197]) ).
thf(ax19,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssItem @ X )
=> ( ( ( cons @ W @ U )
= ( cons @ X @ V ) )
=> ( ( W = X )
& ( V = U ) ) ) ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( X2 = X1 )
| ( ( cons @ X2 @ X3 )
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ X2 )
| ~ ( ssList @ X3 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl1966,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ sk__51 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl85]) ).
thf(zip_derived_cl83_023,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1972,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl1966,zip_derived_cl83]) ).
thf(zip_derived_cl3869_024,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl5995,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) )
| ~ ( ssItem @ sk__51 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1972,zip_derived_cl3869]) ).
thf(zip_derived_cl5996,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__47 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1529,zip_derived_cl5995]) ).
thf(zip_derived_cl3869_025,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl5998,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssItem @ X1 )
| ( sk__51 = X1 )
| ( sk__47
!= ( cons @ X1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5996,zip_derived_cl3869]) ).
thf(zip_derived_cl6095,plain,
( ( nil = sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__51
= ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2952,zip_derived_cl5998]) ).
thf(zip_derived_cl83_026,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6102,plain,
( ( nil = sk__47 )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__51
= ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl6095,zip_derived_cl83]) ).
thf(zip_derived_cl6103,plain,
( ( sk__51
= ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6102]) ).
thf(zip_derived_cl3869_027,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6104,plain,
( ( sk__51
= ( hd @ sk__47 ) )
| ~ ( ssItem @ ( hd @ sk__47 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6103,zip_derived_cl3869]) ).
thf(zip_derived_cl6406,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( sk__51
= ( hd @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl6104]) ).
thf(zip_derived_cl190_028,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6409,plain,
( ( nil = sk__47 )
| ( sk__51
= ( hd @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6406,zip_derived_cl190]) ).
thf(zip_derived_cl3869_029,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6410,plain,
( sk__51
= ( hd @ sk__47 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6409,zip_derived_cl3869]) ).
thf(zip_derived_cl6418,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2952,zip_derived_cl6410]) ).
thf(zip_derived_cl3869_030,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6419,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6418,zip_derived_cl3869]) ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl82_031,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl3755_032,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3753,zip_derived_cl195,zip_derived_cl196]) ).
thf(zip_derived_cl6266_033,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6289,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3755,zip_derived_cl6266]) ).
thf(ax85,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil != U )
=> ( ( hd @ ( app @ U @ V ) )
= ( hd @ U ) ) ) ) ) ).
thf(zip_derived_cl177,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( hd @ ( app @ X1 @ X0 ) )
= ( hd @ X1 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax85]) ).
thf(zip_derived_cl7315,plain,
( ~ ( ssList @ ( cons @ sk__51 @ sk__54 ) )
| ( ( hd @ sk__47 )
= ( hd @ sk__53 ) )
| ( nil = sk__53 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6289,zip_derived_cl177]) ).
thf(zip_derived_cl6410_034,plain,
( sk__51
= ( hd @ sk__47 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6409,zip_derived_cl3869]) ).
thf(zip_derived_cl192_035,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7374,plain,
( ~ ( ssList @ ( cons @ sk__51 @ sk__54 ) )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl7315,zip_derived_cl6410,zip_derived_cl192]) ).
thf(zip_derived_cl7703,plain,
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__51 )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl7374]) ).
thf(zip_derived_cl195_036,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_037,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6266_038,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6271,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6266]) ).
thf(zip_derived_cl7704,plain,
( ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl7703,zip_derived_cl195,zip_derived_cl6271]) ).
thf(zip_derived_cl168_039,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl7715,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7704,zip_derived_cl168]) ).
thf(zip_derived_cl192_040,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7726,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl7715,zip_derived_cl192]) ).
thf(zip_derived_cl7727,plain,
( ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7726]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssItem @ X0 )
| ( X1 != X0 )
| ( memberP @ ( cons @ X0 @ X2 ) @ X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl2181,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl2182,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2181]) ).
thf(zip_derived_cl7753,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7727,zip_derived_cl2182]) ).
thf(zip_derived_cl6271_041,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6266]) ).
thf(zip_derived_cl7869,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7753,zip_derived_cl6271]) ).
thf(zip_derived_cl8040,plain,
( ~ ( ssList @ sk__53 )
| ( nil = sk__53 )
| ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl7869]) ).
thf(zip_derived_cl192_042,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8041,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl8040,zip_derived_cl192]) ).
thf(zip_derived_cl8042,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8041]) ).
thf(zip_derived_cl6289_043,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3755,zip_derived_cl6266]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ( app @ ( sk__2 @ X0 @ X1 ) @ ( cons @ X0 @ ( sk__3 @ X0 @ X1 ) ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl82_044,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax71,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( duplicatefreeP @ ( cons @ U @ nil ) ) ) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ( duplicatefreeP @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax71]) ).
thf(ax13,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( duplicatefreeP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( V != W ) ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( duplicatefreeP @ X0 )
| ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( X3 != X1 )
| ( ( app @ ( app @ X4 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X5 ) )
!= X0 )
| ~ ( ssList @ X5 )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X0 @ nil ) )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ X5 )
| ~ ( ssList @ X4 )
| ( ( app @ ( app @ X5 @ ( cons @ X3 @ X2 ) ) @ ( cons @ X1 @ X4 ) )
!= ( cons @ X0 @ nil ) )
| ( X3 != X1 )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl159,zip_derived_cl72]) ).
thf(zip_derived_cl3932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X3 @ ( cons @ X0 @ X1 ) ) @ ( cons @ X0 @ X2 ) )
!= ( cons @ X4 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X3 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ ( cons @ X4 @ nil ) )
| ~ ( ssItem @ X4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1495]) ).
thf(zip_derived_cl3933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X4 )
| ~ ( ssList @ ( cons @ X4 @ nil ) )
| ~ ( ssList @ X3 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X3 @ ( cons @ X0 @ X1 ) ) @ ( cons @ X0 @ X2 ) )
!= ( cons @ X4 @ nil ) )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3932]) ).
thf(zip_derived_cl4040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ X4 ) ) @ ( cons @ X3 @ X2 ) )
!= ( cons @ X0 @ nil ) )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl3933]) ).
thf(zip_derived_cl83_045,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ X4 ) ) @ ( cons @ X3 @ X2 ) )
!= ( cons @ X0 @ nil ) )
| ~ ( ssList @ X4 )
| ~ ( ssItem @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl4040,zip_derived_cl83]) ).
thf(zip_derived_cl4045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ssItem @ X3 )
| ~ ( ssList @ X4 )
| ( ( app @ ( app @ X1 @ ( cons @ X3 @ X4 ) ) @ ( cons @ X3 @ X2 ) )
!= ( cons @ X0 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4044]) ).
thf(zip_derived_cl4191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssItem @ X3 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ ( sk__3 @ X3 @ X0 ) )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssList @ ( sk__2 @ X3 @ X0 ) )
| ~ ( ssItem @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl4045]) ).
thf(zip_derived_cl4211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ ( sk__2 @ X3 @ X0 ) )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssList @ ( sk__3 @ X3 @ X0 ) )
| ~ ( ssItem @ X3 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4191]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ssList @ ( sk__2 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl7426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssList @ X0 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssItem @ X3 )
| ~ ( ssList @ ( sk__3 @ X3 @ X0 ) )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssList @ X2 )
| ~ ( ssItem @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl4211,zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( memberP @ X1 @ X0 )
| ( ssList @ ( sk__3 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl7427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ssItem @ X1 )
| ~ ( ssList @ X2 )
| ( ( app @ X0 @ ( cons @ X3 @ X2 ) )
!= ( cons @ X1 @ nil ) )
| ~ ( ssItem @ X3 )
| ~ ( memberP @ X0 @ X3 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl7426,zip_derived_cl5]) ).
thf(zip_derived_cl7436,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__54 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ sk__51 )
| ~ ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6289,zip_derived_cl7427]) ).
thf(zip_derived_cl195_046,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6271_047,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6266]) ).
thf(zip_derived_cl192_048,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7444,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl7436,zip_derived_cl195,zip_derived_cl6271,zip_derived_cl192]) ).
thf(zip_derived_cl8103,plain,
! [X0: $i] :
( ( nil = sk__53 )
| ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8042,zip_derived_cl7444]) ).
thf(zip_derived_cl8145,plain,
( ( nil = sk__53 )
| ~ ( ssItem @ sk__51 )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6419,zip_derived_cl8103]) ).
thf(zip_derived_cl6271_049,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6266]) ).
thf(zip_derived_cl8146,plain,
( ( nil = sk__53 )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl8145,zip_derived_cl6271]) ).
thf(zip_derived_cl8147,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl8146]) ).
thf(zip_derived_cl8149,plain,
( ( memberP @ sk__54 @ sk__51 )
| ( memberP @ nil @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6269,zip_derived_cl8147]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl194_050,plain,
( ( app @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) @ sk__54 )
= sk__47 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax86,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil != U )
=> ( ( tl @ ( app @ U @ V ) )
= ( app @ ( tl @ U ) @ V ) ) ) ) ) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ ( app @ X1 @ X0 ) )
= ( app @ ( tl @ X1 ) @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax86]) ).
thf(zip_derived_cl3351,plain,
( ~ ( ssList @ sk__54 )
| ( ( tl @ sk__47 )
= ( app @ ( tl @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) ) @ sk__54 ) )
| ( nil
= ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl178]) ).
thf(zip_derived_cl195_051,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3365,plain,
( ( ( tl @ sk__47 )
= ( app @ ( tl @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) ) @ sk__54 ) )
| ( nil
= ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) )
| ~ ( ssList @ ( app @ sk__53 @ ( cons @ sk__52 @ nil ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3351,zip_derived_cl195]) ).
thf(zip_derived_cl6419_052,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6418,zip_derived_cl3869]) ).
thf(zip_derived_cl94_053,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl6449,plain,
( ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6419,zip_derived_cl94]) ).
thf(zip_derived_cl6271_054,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6266]) ).
thf(zip_derived_cl83_055,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6566,plain,
( ( tl @ sk__47 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl6449,zip_derived_cl6271,zip_derived_cl83]) ).
thf(zip_derived_cl8147_056,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl8146]) ).
thf(zip_derived_cl6266_057,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6419_058,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6418,zip_derived_cl3869]) ).
thf(zip_derived_cl8147_059,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl8146]) ).
thf(zip_derived_cl6266_060,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6419_061,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6418,zip_derived_cl3869]) ).
thf(zip_derived_cl8147_062,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl8146]) ).
thf(zip_derived_cl6266_063,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6265]) ).
thf(zip_derived_cl6419_064,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6418,zip_derived_cl3869]) ).
thf(zip_derived_cl8165,plain,
( ( nil
= ( app @ ( tl @ ( app @ nil @ sk__47 ) ) @ sk__54 ) )
| ( nil
= ( app @ nil @ sk__47 ) )
| ~ ( ssList @ ( app @ nil @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3365,zip_derived_cl6566,zip_derived_cl8147,zip_derived_cl6266,zip_derived_cl6419,zip_derived_cl8147,zip_derived_cl6266,zip_derived_cl6419,zip_derived_cl8147,zip_derived_cl6266,zip_derived_cl6419]) ).
thf(zip_derived_cl8168,plain,
( ~ ( ssList @ sk__47 )
| ( nil
= ( app @ ( tl @ sk__47 ) @ sk__54 ) )
| ( nil = sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl8165]) ).
thf(zip_derived_cl190_065,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6566_066,plain,
( ( tl @ sk__47 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl6449,zip_derived_cl6271,zip_derived_cl83]) ).
thf(zip_derived_cl190_067,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8172,plain,
( ( nil
= ( app @ nil @ sk__54 ) )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl8168,zip_derived_cl190,zip_derived_cl6566,zip_derived_cl190]) ).
thf(zip_derived_cl3869_068,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl3865,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl8173,plain,
( nil
= ( app @ nil @ sk__54 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8172,zip_derived_cl3869]) ).
thf(ax83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ) ).
thf(zip_derived_cl173,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil
!= ( app @ X1 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax83]) ).
thf(zip_derived_cl8205,plain,
( ~ ( ssList @ sk__54 )
| ( nil != nil )
| ( nil = sk__54 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8173,zip_derived_cl173]) ).
thf(zip_derived_cl195_069,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_070,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl8235,plain,
( ( nil != nil )
| ( nil = sk__54 ) ),
inference(demod,[status(thm)],[zip_derived_cl8205,zip_derived_cl195,zip_derived_cl83]) ).
thf(zip_derived_cl8236,plain,
nil = sk__54,
inference(simplify,[status(thm)],[zip_derived_cl8235]) ).
thf(zip_derived_cl8298,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ nil @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl8149,zip_derived_cl8236]) ).
thf(zip_derived_cl8299,plain,
memberP @ nil @ sk__51,
inference(simplify,[status(thm)],[zip_derived_cl8298]) ).
thf(zip_derived_cl113_071,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl8301,plain,
~ ( ssItem @ sk__51 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8299,zip_derived_cl113]) ).
thf(zip_derived_cl6271_072,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6266]) ).
thf(zip_derived_cl8303,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8301,zip_derived_cl6271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWC184+1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.inkrLyWGC4 true
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:05:23 EDT 2025
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.65/3.43 % Solved by fo/fo6_bce.sh.
% 19.65/3.43 % BCE start: 209
% 19.65/3.43 % BCE eliminated: 6
% 19.65/3.43 % PE start: 203
% 19.65/3.43 logic: eq
% 19.65/3.43 % PE eliminated: 6
% 19.65/3.43 % done 1019 iterations in 2.666s
% 19.65/3.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.65/3.43 % SZS output start Refutation
% See solution above
% 19.65/3.43
% 19.65/3.43
% 19.65/3.43 % Terminating...
% 19.65/3.48 % Runner terminated.
% 19.65/3.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------