TSTP Solution File: SWC015+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC015+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.3A2ypf6IyV true
% Computer : n010.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 21:28:30 EDT 2023
% Result : Theorem 7.72s 1.74s
% Output : Refutation 7.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 29
% Syntax : Number of formulae : 198 ( 45 unt; 14 typ; 0 def)
% Number of atoms : 586 ( 290 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1305 ( 231 ~; 343 |; 19 &; 672 @)
% ( 2 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 132 ( 0 ^; 123 !; 9 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= V )
& ( ( cons @ X1 @ nil )
= U )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) ) )
& ( ~ ( neq @ V @ nil )
| ( 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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ? [X1: $i] :
( ? [X2: $i] :
( ( ( app @ ( cons @ X1 @ nil ) @ X2 )
= V )
& ( ( cons @ X1 @ nil )
= U )
& ( ssList @ X2 ) )
& ( ssItem @ X1 ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl193,plain,
( ( neq @ sk__48 @ nil )
| ( neq @ sk__48 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
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_cl93_001,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_cl93_002,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
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_cl196,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__50 = X0 )
| ~ ( neq @ nil @ sk__50 )
| ( ( app @ sk__49 @ X1 )
!= X0 )
| ( ( tl @ sk__50 )
!= X1 )
| ~ ( ssList @ X1 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_003,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_005,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_006,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl211,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ~ ( neq @ nil @ sk__48 )
| ( ( app @ sk__47 @ X1 )
!= X0 )
| ( ( tl @ sk__48 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl199,zip_derived_cl199,zip_derived_cl192,zip_derived_cl199,zip_derived_cl199,zip_derived_cl205]) ).
thf(zip_derived_cl906,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ X1 )
!= X0 )
| ( ( tl @ sk__48 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl211]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl200,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_007,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl907,plain,
! [X0: $i,X1: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ X1 )
!= X0 )
| ( ( tl @ sk__48 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl906,zip_derived_cl83,zip_derived_cl203]) ).
thf(zip_derived_cl954,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( sk__48 = X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl907]) ).
thf(zip_derived_cl1046,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( sk__48 = X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl954]) ).
thf(zip_derived_cl203_008,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1047,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( sk__48 = X0 )
| ~ ( ssList @ X0 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1046,zip_derived_cl203]) ).
thf(zip_derived_cl1048,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1047]) ).
thf(zip_derived_cl1141,plain,
( ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ~ ( ssList @ ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1048]) ).
thf(zip_derived_cl1143,plain,
( ~ ( ssList @ sk__47 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl1141]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1144,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1143,zip_derived_cl190]) ).
thf(zip_derived_cl1146,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1144]) ).
thf(zip_derived_cl203_009,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1147,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1146,zip_derived_cl203]) ).
thf(zip_derived_cl1148,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1147]) ).
thf(ax5,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( frontsegP @ U @ V )
<=> ? [W: $i] :
( ( ( app @ V @ W )
= U )
& ( ssList @ W ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X0 @ X2 )
!= X1 )
| ~ ( ssList @ X2 )
| ( frontsegP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1149,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( sk__48 != X0 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( frontsegP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1148,zip_derived_cl14]) ).
thf(zip_derived_cl190_010,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1168,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( sk__48 != X0 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( frontsegP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1149,zip_derived_cl190]) ).
thf(zip_derived_cl1230,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48 != X0 )
| ( frontsegP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1168]) ).
thf(zip_derived_cl203_011,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1231,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48 != X0 )
| ( frontsegP @ X0 @ sk__47 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1230,zip_derived_cl203]) ).
thf(zip_derived_cl1232,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( frontsegP @ X0 @ sk__47 )
| ( sk__48 != X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1231]) ).
thf(zip_derived_cl1233,plain,
( ( nil = sk__48 )
| ( frontsegP @ sk__48 @ sk__47 )
| ~ ( ssList @ sk__48 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1232]) ).
thf(zip_derived_cl203_012,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1234,plain,
( ( nil = sk__48 )
| ( frontsegP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1233,zip_derived_cl203]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1235,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( ( app @ sk__47 @ ( sk__5 @ sk__47 @ sk__48 ) )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1234,zip_derived_cl12]) ).
thf(zip_derived_cl190_013,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_014,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1240,plain,
( ( nil = sk__48 )
| ( ( app @ sk__47 @ ( sk__5 @ sk__47 @ sk__48 ) )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1235,zip_derived_cl190,zip_derived_cl203]) ).
thf(zip_derived_cl93_015,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl1148_016,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1147]) ).
thf(ax80,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ V @ W )
= ( app @ V @ U ) )
=> ( W = U ) ) ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X0 @ X2 )
!= ( app @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax80]) ).
thf(zip_derived_cl1151,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( sk__48
!= ( app @ sk__47 @ X0 ) )
| ( ( tl @ sk__48 )
= X0 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1148,zip_derived_cl170]) ).
thf(zip_derived_cl190_017,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1170,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( sk__48
!= ( app @ sk__47 @ X0 ) )
| ( ( tl @ sk__48 )
= X0 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1151,zip_derived_cl190]) ).
thf(zip_derived_cl3467,plain,
! [X0: $i] :
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
!= ( app @ sk__47 @ X0 ) )
| ( ( tl @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1170]) ).
thf(zip_derived_cl203_018,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl3468,plain,
! [X0: $i] :
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
!= ( app @ sk__47 @ X0 ) )
| ( ( tl @ sk__48 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3467,zip_derived_cl203]) ).
thf(zip_derived_cl3469,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( tl @ sk__48 )
= X0 )
| ( sk__48
!= ( app @ sk__47 @ X0 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3468]) ).
thf(zip_derived_cl3474,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( sk__5 @ sk__47 @ sk__48 ) )
| ( ( tl @ sk__48 )
= ( sk__5 @ sk__47 @ sk__48 ) )
| ( sk__48 != sk__48 )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1240,zip_derived_cl3469]) ).
thf(zip_derived_cl3478,plain,
( ( ( tl @ sk__48 )
= ( sk__5 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ ( sk__5 @ sk__47 @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3474]) ).
thf(zip_derived_cl1234_019,plain,
( ( nil = sk__48 )
| ( frontsegP @ sk__48 @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1233,zip_derived_cl203]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ssList @ ( sk__5 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1236,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__47 )
| ( ssList @ ( sk__5 @ sk__47 @ sk__48 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1234,zip_derived_cl13]) ).
thf(zip_derived_cl190_020,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203_021,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl1241,plain,
( ( nil = sk__48 )
| ( ssList @ ( sk__5 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1236,zip_derived_cl190,zip_derived_cl203]) ).
thf(zip_derived_cl3800,plain,
( ( nil = sk__48 )
| ( ( tl @ sk__48 )
= ( sk__5 @ sk__47 @ sk__48 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3478,zip_derived_cl1241]) ).
thf(zip_derived_cl1148_022,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1147]) ).
thf(zip_derived_cl93_023,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl1148_024,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1147]) ).
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_cl1161,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( tl @ sk__48 )
= ( app @ ( tl @ sk__47 ) @ ( tl @ sk__48 ) ) )
| ( nil = sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1148,zip_derived_cl178]) ).
thf(zip_derived_cl190_025,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1181,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( tl @ sk__48 )
= ( app @ ( tl @ sk__47 ) @ ( tl @ sk__48 ) ) )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1161,zip_derived_cl190]) ).
thf(zip_derived_cl3800_026,plain,
( ( nil = sk__48 )
| ( ( tl @ sk__48 )
= ( sk__5 @ sk__47 @ sk__48 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3478,zip_derived_cl1241]) ).
thf(zip_derived_cl1241_027,plain,
( ( nil = sk__48 )
| ( ssList @ ( sk__5 @ sk__47 @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1236,zip_derived_cl190,zip_derived_cl203]) ).
thf(zip_derived_cl3804,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3800,zip_derived_cl1241]) ).
thf(zip_derived_cl3811,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3804]) ).
thf(zip_derived_cl6123,plain,
( ( nil = sk__47 )
| ( ( tl @ sk__48 )
= ( app @ ( tl @ sk__47 ) @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(clc,[status(thm)],[zip_derived_cl1181,zip_derived_cl3811]) ).
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(ax79,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ W @ V )
= ( app @ U @ V ) )
=> ( W = U ) ) ) ) ) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ X2 @ X0 )
!= ( app @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax79]) ).
thf(zip_derived_cl640,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( X0
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ nil )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl169]) ).
thf(zip_derived_cl83_028,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl654,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( X0
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl83]) ).
thf(zip_derived_cl655,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( nil = X1 )
| ( X0
!= ( app @ X1 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl654]) ).
thf(zip_derived_cl6145,plain,
( ( nil = sk__48 )
| ( nil = sk__47 )
| ~ ( ssList @ ( tl @ sk__47 ) )
| ( nil
= ( tl @ sk__47 ) )
| ( ( tl @ sk__48 )
!= ( tl @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6123,zip_derived_cl655]) ).
thf(zip_derived_cl6163,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil
= ( tl @ sk__47 ) )
| ~ ( ssList @ ( tl @ sk__47 ) )
| ( nil = sk__47 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6145]) ).
thf(zip_derived_cl3811_029,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3804]) ).
thf(zip_derived_cl6261,plain,
( ( nil = sk__48 )
| ( nil = sk__47 )
| ~ ( ssList @ ( tl @ sk__47 ) )
| ( nil
= ( tl @ sk__47 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6163,zip_derived_cl3811]) ).
thf(zip_derived_cl6262,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 )
| ( nil
= ( tl @ sk__47 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl6261]) ).
thf(zip_derived_cl190_030,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6263,plain,
( ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 )
| ( nil
= ( tl @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6262,zip_derived_cl190]) ).
thf(zip_derived_cl6264,plain,
( ( nil
= ( tl @ sk__47 ) )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6263]) ).
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_cl6267,plain,
( ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6264,zip_derived_cl168]) ).
thf(zip_derived_cl190_031,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6278,plain,
( ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl6267,zip_derived_cl190]) ).
thf(zip_derived_cl6279,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6278]) ).
thf(zip_derived_cl198,plain,
! [X2: $i,X3: $i] :
( ~ ( ssItem @ X2 )
| ( ( cons @ X2 @ nil )
!= sk__47 )
| ( ( app @ ( cons @ X2 @ nil ) @ X3 )
!= sk__48 )
| ~ ( ssList @ X3 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_032,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205_033,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl206,plain,
! [X2: $i,X3: $i] :
( ~ ( ssItem @ X2 )
| ( ( cons @ X2 @ nil )
!= sk__47 )
| ( ( app @ ( cons @ X2 @ nil ) @ X3 )
!= sk__48 )
| ~ ( ssList @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl199,zip_derived_cl205]) ).
thf(zip_derived_cl6376,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ( nil = sk__48 )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__47 != sk__47 )
| ( ( app @ sk__47 @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6279,zip_derived_cl206]) ).
thf(zip_derived_cl6427,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( app @ sk__47 @ X0 )
!= sk__48 )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6376]) ).
thf(zip_derived_cl93_034,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl1148_035,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1147]) ).
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_cl1160,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( hd @ sk__48 )
= ( hd @ sk__47 ) )
| ( nil = sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1148,zip_derived_cl177]) ).
thf(zip_derived_cl190_036,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1180,plain,
( ( nil = sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) )
| ( ( hd @ sk__48 )
= ( hd @ sk__47 ) )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1160,zip_derived_cl190]) ).
thf(zip_derived_cl2241,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( ( hd @ sk__48 )
= ( hd @ sk__47 ) )
| ( nil = sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1180]) ).
thf(zip_derived_cl203_037,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2242,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( ( hd @ sk__48 )
= ( hd @ sk__47 ) )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl203]) ).
thf(zip_derived_cl2243,plain,
( ( nil = sk__47 )
| ( ( hd @ sk__48 )
= ( hd @ sk__47 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2242]) ).
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_cl2247,plain,
( ( nil = sk__48 )
| ( nil = sk__47 )
| ( nil = sk__48 )
| ( ssItem @ ( hd @ sk__47 ) )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2243,zip_derived_cl91]) ).
thf(zip_derived_cl203_038,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2251,plain,
( ( nil = sk__48 )
| ( nil = sk__47 )
| ( nil = sk__48 )
| ( ssItem @ ( hd @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2247,zip_derived_cl203]) ).
thf(zip_derived_cl2252,plain,
( ( ssItem @ ( hd @ sk__47 ) )
| ( nil = sk__47 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2251]) ).
thf(zip_derived_cl6660,plain,
! [X0: $i] :
( ( nil = sk__47 )
| ( nil = sk__48 )
| ( ( app @ sk__47 @ X0 )
!= sk__48 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6427,zip_derived_cl2252]) ).
thf(zip_derived_cl6663,plain,
( ( nil = sk__48 )
| ( nil = sk__47 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1148,zip_derived_cl6660]) ).
thf(zip_derived_cl6667,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__47 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6663]) ).
thf(zip_derived_cl3811_039,plain,
( ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3804]) ).
thf(zip_derived_cl6669,plain,
( ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(clc,[status(thm)],[zip_derived_cl6667,zip_derived_cl3811]) ).
thf(zip_derived_cl205_040,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl6671,plain,
( ( nil = sk__47 )
| ( neq @ nil @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6669,zip_derived_cl205]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl6944,plain,
( ( nil = sk__47 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6671,zip_derived_cl220]) ).
thf(zip_derived_cl83_041,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl6945,plain,
nil = sk__47,
inference(demod,[status(thm)],[zip_derived_cl6944,zip_derived_cl83]) ).
thf(zip_derived_cl6971,plain,
( ( nil = sk__48 )
| ( ( tl @ sk__48 )
= ( sk__5 @ nil @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3800,zip_derived_cl6945]) ).
thf(zip_derived_cl97_042,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl12_043,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ( app @ X0 @ ( sk__5 @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl294,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__5 @ nil @ X0 ) )
| ~ ( ssList @ nil )
| ~ ( frontsegP @ X0 @ nil )
| ( ( sk__5 @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl12]) ).
thf(zip_derived_cl83_044,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl299,plain,
! [X0: $i] :
( ~ ( ssList @ ( sk__5 @ nil @ X0 ) )
| ~ ( frontsegP @ X0 @ nil )
| ( ( sk__5 @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl83]) ).
thf(ax45,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ nil ) ) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ( frontsegP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax45]) ).
thf(zip_derived_cl13_045,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( frontsegP @ X1 @ X0 )
| ( ssList @ ( sk__5 @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl314,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ( ssList @ ( sk__5 @ nil @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl13]) ).
thf(zip_derived_cl83_046,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl317,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ssList @ ( sk__5 @ nil @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl314,zip_derived_cl83]) ).
thf(zip_derived_cl318,plain,
! [X0: $i] :
( ( ssList @ ( sk__5 @ nil @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl317]) ).
thf(zip_derived_cl3437,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( sk__5 @ nil @ X0 )
= X0 )
| ~ ( frontsegP @ X0 @ nil ) ),
inference(clc,[status(thm)],[zip_derived_cl299,zip_derived_cl318]) ).
thf(zip_derived_cl122_047,plain,
! [X0: $i] :
( ( frontsegP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax45]) ).
thf(zip_derived_cl3438,plain,
! [X0: $i] :
( ( ( sk__5 @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3437,zip_derived_cl122]) ).
thf(zip_derived_cl7085,plain,
( ( nil = sk__48 )
| ( ( tl @ sk__48 )
= sk__48 )
| ~ ( ssList @ sk__48 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6971,zip_derived_cl3438]) ).
thf(zip_derived_cl203_048,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl7105,plain,
( ( nil = sk__48 )
| ( ( tl @ sk__48 )
= sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl7085,zip_derived_cl203]) ).
thf(zip_derived_cl168_049,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl451,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ( X0
!= ( tl @ X0 ) )
| ~ ( ssList @ ( tl @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl84]) ).
thf(zip_derived_cl91_050,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl2164,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ X0 ) )
| ( X0
!= ( tl @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl451,zip_derived_cl91]) ).
thf(zip_derived_cl93_051,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl2165,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0
!= ( tl @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2164,zip_derived_cl93]) ).
thf(zip_derived_cl7123,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7105,zip_derived_cl2165]) ).
thf(zip_derived_cl203_052,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl7153,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl7123,zip_derived_cl203]) ).
thf(zip_derived_cl7154,plain,
nil = sk__48,
inference(simplify,[status(thm)],[zip_derived_cl7153]) ).
thf(zip_derived_cl7183,plain,
neq @ nil @ nil,
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl7154]) ).
thf(zip_derived_cl220_053,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl7185,plain,
~ ( ssList @ nil ),
inference('s_sup-',[status(thm)],[zip_derived_cl7183,zip_derived_cl220]) ).
thf(zip_derived_cl83_054,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl7186,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7185,zip_derived_cl83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC015+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3A2ypf6IyV true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 14:35:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 1.05/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.44/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.72/1.74 % Solved by fo/fo13.sh.
% 7.72/1.74 % done 1082 iterations in 0.927s
% 7.72/1.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.72/1.74 % SZS output start Refutation
% See solution above
% 7.72/1.75
% 7.72/1.75
% 7.72/1.75 % Terminating...
% 7.72/1.81 % Runner terminated.
% 7.72/1.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------