TSTP Solution File: SWC187+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC187+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5kGdUYpo38 true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:29:45 EDT 2023
% Result : Theorem 16.58s 2.96s
% Output : Refutation 16.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 35
% Syntax : Number of formulae : 198 ( 72 unt; 17 typ; 0 def)
% Number of atoms : 504 ( 161 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 1371 ( 257 ~; 262 |; 6 &; 791 @)
% ( 3 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 170 ( 0 ^; 168 !; 2 ?; 170 :)
% Comments :
%------------------------------------------------------------------------------
thf(duplicatefreeP_type,type,
duplicatefreeP: $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__52_type,type,
sk__52: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $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(sk__53_type,type,
sk__53: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $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(cons_type,type,
cons: $i > $i > $i ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ( ~ ( memberP @ Z @ Y )
& ~ ( memberP @ X1 @ Y ) ) ) ) ) )
| ( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( ( cons @ X2 @ nil )
!= W )
| ~ ( memberP @ X @ X2 ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ! [Y: $i] :
( ( ssItem @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ! [X1: $i] :
( ( ssList @ X1 )
=> ( ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
!= U )
| ( ~ ( memberP @ Z @ Y )
& ~ ( memberP @ X1 @ Y ) ) ) ) ) )
| ( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ( ( cons @ X2 @ nil )
!= W )
| ~ ( memberP @ X @ X2 ) ) )
& ( ( nil != X )
| ( nil != W ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
( ( memberP @ sk__53 @ sk__52 )
| ( memberP @ sk__54 @ 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_cl3014,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_cl3029,plain,
( ~ ( ssList @ ( cons @ sk__52 @ nil ) )
| ( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3014,zip_derived_cl195,zip_derived_cl192]) ).
thf(zip_derived_cl3660,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_cl3029]) ).
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_cl3661,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3660,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl3692,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_cl3661]) ).
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_cl3694,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3692,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_cl3891,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_cl3694,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_cl3925,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3891,zip_derived_cl196,zip_derived_cl195,zip_derived_cl192]) ).
thf(zip_derived_cl203,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__49 ) ),
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_cl1520,plain,
( ( ssItem @ sk__51 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl197]) ).
thf(zip_derived_cl201,plain,
( ( ( cons @ sk__51 @ nil )
= sk__49 )
| ( 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_cl1533,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,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_cl2318,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_cl1533,zip_derived_cl110]) ).
thf(zip_derived_cl83_008,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2322,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_cl2318,zip_derived_cl83]) ).
thf(zip_derived_cl3925_009,plain,
! [X0: $i] :
( ( sk__47 != X0 )
| ( memberP @ X0 @ sk__52 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3891,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_cl4087,plain,
( ~ ( ssList @ nil )
| ( sk__47 != nil )
| ~ ( ssItem @ sk__52 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3925,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_cl4091,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl4087,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6084,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_cl2322,zip_derived_cl4091]) ).
thf(zip_derived_cl113_012,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl6085,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 )
| ~ ( ssItem @ sk__51 ) ),
inference(clc,[status(thm)],[zip_derived_cl6084,zip_derived_cl113]) ).
thf(zip_derived_cl6087,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1520,zip_derived_cl6085]) ).
thf(zip_derived_cl4091_013,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl4087,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl6088,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( X0 = sk__51 )
| ~ ( memberP @ sk__47 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6087,zip_derived_cl4091]) ).
thf(zip_derived_cl6867,plain,
( ~ ( ssList @ sk__47 )
| ( sk__47 != sk__47 )
| ~ ( ssItem @ sk__52 )
| ( sk__52 = sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3925,zip_derived_cl6088]) ).
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_cl6875,plain,
( ( sk__47 != sk__47 )
| ( sk__52 = sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6867,zip_derived_cl190,zip_derived_cl196]) ).
thf(zip_derived_cl6876,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6875]) ).
thf(zip_derived_cl6876_015,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6875]) ).
thf(zip_derived_cl6886,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( memberP @ sk__54 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl6876,zip_derived_cl6876]) ).
thf(zip_derived_cl1533_016,plain,
( ( ( cons @ sk__51 @ nil )
= sk__47 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl197,zip_derived_cl197]) ).
thf(zip_derived_cl171_017,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_cl2858,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ~ ( ssItem @ sk__51 )
| ( ( cons @ sk__51 @ X0 )
= ( app @ sk__47 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl171]) ).
thf(zip_derived_cl196_018,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6876_019,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6875]) ).
thf(zip_derived_cl6888,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl7238,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ( ( cons @ sk__51 @ X0 )
= ( app @ sk__47 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2858,zip_derived_cl6888]) ).
thf(zip_derived_cl4091_020,plain,
sk__47 != nil,
inference(demod,[status(thm)],[zip_derived_cl4087,zip_derived_cl83,zip_derived_cl196]) ).
thf(zip_derived_cl7239,plain,
! [X0: $i] :
( ( ( cons @ sk__51 @ X0 )
= ( app @ sk__47 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7238,zip_derived_cl4091]) ).
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_cl7306,plain,
( ~ ( ssList @ nil )
| ( ( cons @ sk__51 @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7239,zip_derived_cl176]) ).
thf(zip_derived_cl83_021,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl190_022,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7446,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl7306,zip_derived_cl83,zip_derived_cl190]) ).
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(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_cl3661_023,plain,
( sk__47
= ( app @ sk__53 @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3660,zip_derived_cl83,zip_derived_cl196]) ).
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_cl3680,plain,
( ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ( ( hd @ sk__47 )
= ( hd @ sk__53 ) )
| ( nil = sk__53 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3661,zip_derived_cl177]) ).
thf(zip_derived_cl192_024,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3709,plain,
( ~ ( ssList @ ( app @ ( cons @ sk__52 @ nil ) @ sk__54 ) )
| ( ( hd @ sk__47 )
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl3680,zip_derived_cl192]) ).
thf(zip_derived_cl6876_025,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6875]) ).
thf(zip_derived_cl7446_026,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl7306,zip_derived_cl83,zip_derived_cl190]) ).
thf(zip_derived_cl7446_027,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl7306,zip_derived_cl83,zip_derived_cl190]) ).
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_cl7572,plain,
( ~ ( ssItem @ sk__51 )
| ( ( hd @ sk__47 )
= sk__51 )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7446,zip_derived_cl92]) ).
thf(zip_derived_cl6888_028,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl83_029,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl7699,plain,
( ( hd @ sk__47 )
= sk__51 ),
inference(demod,[status(thm)],[zip_derived_cl7572,zip_derived_cl6888,zip_derived_cl83]) ).
thf(zip_derived_cl9630,plain,
( ~ ( ssList @ ( app @ sk__47 @ sk__54 ) )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl3709,zip_derived_cl6876,zip_derived_cl7446,zip_derived_cl7699]) ).
thf(zip_derived_cl9631,plain,
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ sk__54 )
| ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl9630]) ).
thf(zip_derived_cl190_030,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195_031,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9634,plain,
( ( sk__51
= ( hd @ sk__53 ) )
| ( nil = sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl9631,zip_derived_cl190,zip_derived_cl195]) ).
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_cl9654,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_cl9634,zip_derived_cl168]) ).
thf(zip_derived_cl192_032,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9663,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 ) ),
inference(demod,[status(thm)],[zip_derived_cl9654,zip_derived_cl192]) ).
thf(zip_derived_cl9664,plain,
( ( ( cons @ sk__51 @ ( tl @ sk__53 ) )
= sk__53 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9663]) ).
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_cl2156,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_cl2157,plain,
! [X0: $i,X1: $i] :
( ( memberP @ ( cons @ X0 @ X1 ) @ X0 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2156]) ).
thf(zip_derived_cl9866,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) )
| ~ ( ssItem @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9664,zip_derived_cl2157]) ).
thf(zip_derived_cl6888_033,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl9992,plain,
( ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 )
| ~ ( ssList @ ( tl @ sk__53 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9866,zip_derived_cl6888]) ).
thf(zip_derived_cl10327,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_cl9992]) ).
thf(zip_derived_cl192_034,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10328,plain,
( ( nil = sk__53 )
| ( nil = sk__53 )
| ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl10327,zip_derived_cl192]) ).
thf(zip_derived_cl10329,plain,
( ( memberP @ sk__53 @ sk__51 )
| ( nil = sk__53 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10328]) ).
thf(zip_derived_cl3694_035,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3692,zip_derived_cl195,zip_derived_cl196]) ).
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_036,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_cl1481,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_cl3557,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_cl1481]) ).
thf(zip_derived_cl3558,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_cl3557]) ).
thf(zip_derived_cl3609,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_cl3558]) ).
thf(zip_derived_cl83_037,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3613,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_cl3609,zip_derived_cl83]) ).
thf(zip_derived_cl3614,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_cl3613]) ).
thf(zip_derived_cl3775,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_cl3614]) ).
thf(zip_derived_cl3791,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_cl3775]) ).
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_cl6823,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_cl3791,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_cl6824,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_cl6823,zip_derived_cl5]) ).
thf(zip_derived_cl6833,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ sk__54 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( ssItem @ sk__52 )
| ~ ( memberP @ sk__53 @ sk__52 )
| ~ ( ssList @ sk__53 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3694,zip_derived_cl6824]) ).
thf(zip_derived_cl195_038,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196_039,plain,
ssItem @ sk__52,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192_040,plain,
ssList @ sk__53,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6846,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( memberP @ sk__53 @ sk__52 ) ),
inference(demod,[status(thm)],[zip_derived_cl6833,zip_derived_cl195,zip_derived_cl196,zip_derived_cl192]) ).
thf(zip_derived_cl6876_041,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6875]) ).
thf(zip_derived_cl6923,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) )
| ~ ( memberP @ sk__53 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6846,zip_derived_cl6876]) ).
thf(zip_derived_cl10348,plain,
! [X0: $i] :
( ( nil = sk__53 )
| ~ ( ssItem @ X0 )
| ( sk__47
!= ( cons @ X0 @ nil ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10329,zip_derived_cl6923]) ).
thf(zip_derived_cl10358,plain,
( ( nil = sk__53 )
| ~ ( ssItem @ sk__51 )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7446,zip_derived_cl10348]) ).
thf(zip_derived_cl6888_042,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl10359,plain,
( ( nil = sk__53 )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl10358,zip_derived_cl6888]) ).
thf(zip_derived_cl10360,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl10359]) ).
thf(zip_derived_cl10363,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ sk__54 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl6886,zip_derived_cl10360]) ).
thf(zip_derived_cl82_043,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl3694_044,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__52 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3692,zip_derived_cl195,zip_derived_cl196]) ).
thf(zip_derived_cl6876_045,plain,
sk__52 = sk__51,
inference(simplify,[status(thm)],[zip_derived_cl6875]) ).
thf(zip_derived_cl6911,plain,
( sk__47
= ( app @ sk__53 @ ( cons @ sk__51 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3694,zip_derived_cl6876]) ).
thf(zip_derived_cl10360_046,plain,
nil = sk__53,
inference(simplify,[status(thm)],[zip_derived_cl10359]) ).
thf(zip_derived_cl10364,plain,
( sk__47
= ( app @ nil @ ( cons @ sk__51 @ sk__54 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6911,zip_derived_cl10360]) ).
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_cl10536,plain,
( ( sk__47
= ( cons @ sk__51 @ sk__54 ) )
| ~ ( ssList @ ( cons @ sk__51 @ sk__54 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10364,zip_derived_cl97]) ).
thf(zip_derived_cl11839,plain,
( ~ ( ssList @ sk__54 )
| ~ ( ssItem @ sk__51 )
| ( sk__47
= ( cons @ sk__51 @ sk__54 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl10536]) ).
thf(zip_derived_cl195_047,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6888_048,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl11841,plain,
( sk__47
= ( cons @ sk__51 @ sk__54 ) ),
inference(demod,[status(thm)],[zip_derived_cl11839,zip_derived_cl195,zip_derived_cl6888]) ).
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_cl11863,plain,
( ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= sk__54 )
| ~ ( ssList @ sk__54 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11841,zip_derived_cl94]) ).
thf(zip_derived_cl6888_049,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl7446_050,plain,
( ( cons @ sk__51 @ nil )
= sk__47 ),
inference(demod,[status(thm)],[zip_derived_cl7306,zip_derived_cl83,zip_derived_cl190]) ).
thf(zip_derived_cl94_051,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl7573,plain,
( ~ ( ssItem @ sk__51 )
| ( ( tl @ sk__47 )
= nil )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7446,zip_derived_cl94]) ).
thf(zip_derived_cl6888_052,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl83_053,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl7700,plain,
( ( tl @ sk__47 )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl7573,zip_derived_cl6888,zip_derived_cl83]) ).
thf(zip_derived_cl195_054,plain,
ssList @ sk__54,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12009,plain,
nil = sk__54,
inference(demod,[status(thm)],[zip_derived_cl11863,zip_derived_cl6888,zip_derived_cl7700,zip_derived_cl195]) ).
thf(zip_derived_cl12229,plain,
( ( memberP @ nil @ sk__51 )
| ( memberP @ nil @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl10363,zip_derived_cl12009]) ).
thf(zip_derived_cl12230,plain,
memberP @ nil @ sk__51,
inference(simplify,[status(thm)],[zip_derived_cl12229]) ).
thf(zip_derived_cl113_055,plain,
! [X0: $i] :
( ~ ( memberP @ nil @ X0 )
| ~ ( ssItem @ X0 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl12311,plain,
~ ( ssItem @ sk__51 ),
inference('s_sup-',[status(thm)],[zip_derived_cl12230,zip_derived_cl113]) ).
thf(zip_derived_cl6888_056,plain,
ssItem @ sk__51,
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl6876]) ).
thf(zip_derived_cl12320,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12311,zip_derived_cl6888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC187+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5kGdUYpo38 true
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 15:08:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.21/0.34 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.58/2.96 % Solved by fo/fo6_bce.sh.
% 16.58/2.96 % BCE start: 207
% 16.58/2.96 % BCE eliminated: 6
% 16.58/2.96 % PE start: 201
% 16.58/2.96 logic: eq
% 16.58/2.96 % PE eliminated: 6
% 16.58/2.96 % done 1710 iterations in 2.236s
% 16.58/2.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.58/2.96 % SZS output start Refutation
% See solution above
% 16.58/2.96
% 16.58/2.96
% 16.58/2.96 % Terminating...
% 17.18/3.05 % Runner terminated.
% 17.18/3.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------