%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC005+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.CGOCCJhg2K true
% Computer : n026.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 04:58:14 PM UTC 2025
% Result : Theorem 2.09s 1.15s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 118 ( 42 unt; 0 typ; 0 def)
% Number of atoms : 337 ( 141 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 855 ( 161 ~; 170 |; 20 &; 475 @)
% ( 1 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 0 ^; 83 !; 10 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(ax16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ssList @ ( cons @ X0 @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(ax15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax24,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ( neq @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
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] :
( ? [X1: $i] :
( ( neq @ Z @ nil )
& ( ( app @ Y @ X1 )
= U )
& ( ( app @ ( app @ Y @ Z ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ? [X2: $i] :
( ( neq @ nil @ X )
& ( ( tl @ X )
= X2 )
& ( W != X2 )
& ( ssList @ X2 ) ) )
& ( ~ ( 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] :
( ? [X1: $i] :
( ( neq @ Z @ nil )
& ( ( app @ Y @ X1 )
= U )
& ( ( app @ ( app @ Y @ Z ) @ X1 )
= V )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssList @ Y ) )
| ? [X2: $i] :
( ( neq @ nil @ X )
& ( ( tl @ X )
= X2 )
& ( W != X2 )
& ( ssList @ X2 ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl57,plain,
! [X3: $i] :
( ( ( tl @ sk__9 )
!= X3 )
| ( sk__8 = X3 )
| ~ ( ssList @ X3 )
| ~ ( neq @ nil @ sk__9 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
sk__6 = sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_002,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_003,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
( ( neq @ sk__7 @ nil )
| ( neq @ sk__7 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl415,plain,
! [X3: $i] :
( ( ( tl @ sk__7 )
!= X3 )
| ( sk__6 = X3 )
| ~ ( ssList @ X3 )
| ~ ( neq @ nil @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl58,zip_derived_cl51,zip_derived_cl58,zip_derived_cl58,zip_derived_cl390]) ).
thf(zip_derived_cl417,plain,
! [X0: $i] :
( ~ ( ssList @ nil )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 )
| ~ ( ssList @ X0 )
| ( sk__6 = X0 )
| ( ( tl @ sk__7 )
!= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl415]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl8,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl59,plain,
ssList @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_004,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl419,plain,
! [X0: $i] :
( ( nil = sk__7 )
| ~ ( ssList @ X0 )
| ( sk__6 = X0 )
| ( ( tl @ sk__7 )
!= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl8,zip_derived_cl370]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X1 @ X0 )
| ( X1 != X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl390_005,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl394,plain,
( ~ ( ssList @ sk__7 )
| ( sk__7 != nil )
| ~ ( ssList @ nil ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl390]) ).
thf(zip_derived_cl370_006,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl8_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl396,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl370,zip_derived_cl8]) ).
thf(zip_derived_cl420,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__6 = X0 )
| ( ( tl @ sk__7 )
!= X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl419,zip_derived_cl396]) ).
thf(zip_derived_cl424,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( tl @ sk__7 )
!= ( tl @ X0 ) )
| ( sk__6
= ( tl @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl420]) ).
thf(zip_derived_cl456,plain,
( ( sk__6
= ( tl @ sk__7 ) )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl424]) ).
thf(zip_derived_cl370_008,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl457,plain,
( ( sk__6
= ( tl @ sk__7 ) )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl370]) ).
thf(zip_derived_cl396_009,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl370,zip_derived_cl8]) ).
thf(zip_derived_cl458,plain,
( sk__6
= ( tl @ sk__7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl457,zip_derived_cl396]) ).
thf(ax81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
= ( app @ ( cons @ X0 @ nil ) @ X1 ) )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(ax78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ( cons @ ( hd @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax78]) ).
thf(zip_derived_cl605,plain,
! [X0: $i] :
( ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ ( tl @ X0 ) )
| ~ ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl38]) ).
thf(zip_derived_cl18_010,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl2507,plain,
! [X0: $i] :
( ( nil = X0 )
| ~ ( ssList @ X0 )
| ~ ( ssItem @ ( hd @ X0 ) )
| ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl605,zip_derived_cl18]) ).
thf(ax22,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl2508,plain,
! [X0: $i] :
( ( ( app @ ( cons @ ( hd @ X0 ) @ nil ) @ ( tl @ X0 ) )
= X0 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2507,zip_derived_cl16]) ).
thf(zip_derived_cl2535,plain,
( ( ( app @ ( cons @ ( hd @ sk__7 ) @ nil ) @ sk__6 )
= sk__7 )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl2508]) ).
thf(zip_derived_cl370_011,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl2539,plain,
( ( ( app @ ( cons @ ( hd @ sk__7 ) @ nil ) @ sk__6 )
= sk__7 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl2535,zip_derived_cl370]) ).
thf(zip_derived_cl396_012,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl370,zip_derived_cl8]) ).
thf(zip_derived_cl2540,plain,
( ( app @ ( cons @ ( hd @ sk__7 ) @ nil ) @ sk__6 )
= sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2539,zip_derived_cl396]) ).
thf(ax28,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl22_013,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X0 @ X2 ) @ X1 )
!= sk__7 )
| ( ( app @ X0 @ X1 )
!= sk__6 )
| ~ ( neq @ X2 @ nil )
| ~ ( ssList @ X2 )
| ~ ( neq @ sk__9 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_014,plain,
sk__7 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390_015,plain,
neq @ sk__7 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl1120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ X0 @ X2 ) @ X1 )
!= sk__7 )
| ( ( app @ X0 @ X1 )
!= sk__6 )
| ~ ( neq @ X2 @ nil )
| ~ ( ssList @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl58,zip_derived_cl390]) ).
thf(zip_derived_cl1129,plain,
! [X0: $i,X1: $i] :
( ( ( app @ X0 @ X1 )
!= sk__7 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ nil )
| ( ( app @ nil @ X1 )
!= sk__6 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1120]) ).
thf(zip_derived_cl8_016,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1143,plain,
! [X0: $i,X1: $i] :
( ( ( app @ X0 @ X1 )
!= sk__7 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ nil )
| ( ( app @ nil @ X1 )
!= sk__6 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1129,zip_derived_cl8]) ).
thf(zip_derived_cl1144,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ nil @ X1 )
!= sk__6 )
| ~ ( neq @ X0 @ nil )
| ~ ( ssList @ X0 )
| ( ( app @ X0 @ X1 )
!= sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1143]) ).
thf(zip_derived_cl1411,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__6 )
| ~ ( ssList @ X0 )
| ( ( app @ X1 @ X0 )
!= sk__7 )
| ~ ( ssList @ X1 )
| ~ ( neq @ X1 @ nil )
| ~ ( ssList @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1144]) ).
thf(zip_derived_cl1415,plain,
! [X0: $i,X1: $i] :
( ~ ( neq @ X1 @ nil )
| ~ ( ssList @ X1 )
| ( ( app @ X1 @ X0 )
!= sk__7 )
| ~ ( ssList @ X0 )
| ( X0 != sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1411]) ).
thf(zip_derived_cl2559,plain,
( ( sk__7 != sk__7 )
| ( sk__6 != sk__6 )
| ~ ( ssList @ sk__6 )
| ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) )
| ~ ( neq @ ( cons @ ( hd @ sk__7 ) @ nil ) @ nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl2540,zip_derived_cl1415]) ).
thf(zip_derived_cl49,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2593,plain,
( ( sk__7 != sk__7 )
| ( sk__6 != sk__6 )
| ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) )
| ~ ( neq @ ( cons @ ( hd @ sk__7 ) @ nil ) @ nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2559,zip_derived_cl49]) ).
thf(zip_derived_cl2594,plain,
( ~ ( neq @ ( cons @ ( hd @ sk__7 ) @ nil ) @ nil )
| ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2593]) ).
thf(zip_derived_cl3221,plain,
( ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) )
| ( ( cons @ ( hd @ sk__7 ) @ nil )
= nil )
| ~ ( ssList @ nil )
| ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2594]) ).
thf(zip_derived_cl8_017,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3222,plain,
( ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) )
| ( ( cons @ ( hd @ sk__7 ) @ nil )
= nil )
| ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3221,zip_derived_cl8]) ).
thf(zip_derived_cl3223,plain,
( ( ( cons @ ( hd @ sk__7 ) @ nil )
= nil )
| ~ ( ssList @ ( cons @ ( hd @ sk__7 ) @ nil ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3222]) ).
thf(zip_derived_cl3237,plain,
( ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__7 ) )
| ( ( cons @ ( hd @ sk__7 ) @ nil )
= nil ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3223]) ).
thf(zip_derived_cl8_018,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(ax20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ? [W: $i] :
( ( ( cons @ W @ V )
= U )
& ( ssItem @ W ) )
& ( ssList @ V ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl458_019,plain,
( sk__6
= ( tl @ sk__7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl457,zip_derived_cl396]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( ( cons @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(ax25,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( tl @ ( cons @ X0 @ X1 ) )
= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl580,plain,
! [X0: $i] :
( ( ( tl @ X0 )
= ( sk__2 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 )
| ~ ( ssList @ ( sk__2 @ X0 ) )
| ~ ( ssItem @ ( sk__3 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl19]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ssList @ ( sk__2 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2210,plain,
! [X0: $i] :
( ~ ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ( ( tl @ X0 )
= ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl580,zip_derived_cl14]) ).
thf(zip_derived_cl12_020,plain,
! [X0: $i] :
( ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2211,plain,
! [X0: $i] :
( ( ( tl @ X0 )
= ( sk__2 @ X0 ) )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2210,zip_derived_cl12]) ).
thf(zip_derived_cl13_021,plain,
! [X0: $i] :
( ( ( cons @ ( sk__3 @ X0 ) @ ( sk__2 @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2212,plain,
! [X0: $i] :
( ( ( cons @ ( sk__3 @ X0 ) @ ( tl @ X0 ) )
= X0 )
| ( nil = X0 )
| ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( nil = X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2211,zip_derived_cl13]) ).
thf(zip_derived_cl2216,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( ( cons @ ( sk__3 @ X0 ) @ ( tl @ X0 ) )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2212]) ).
thf(zip_derived_cl2295,plain,
( ( ( cons @ ( sk__3 @ sk__7 ) @ sk__6 )
= sk__7 )
| ( nil = sk__7 )
| ~ ( ssList @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl2216]) ).
thf(zip_derived_cl370_022,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl2298,plain,
( ( ( cons @ ( sk__3 @ sk__7 ) @ sk__6 )
= sk__7 )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl370]) ).
thf(zip_derived_cl396_023,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl370,zip_derived_cl8]) ).
thf(zip_derived_cl2299,plain,
( ( cons @ ( sk__3 @ sk__7 ) @ sk__6 )
= sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2298,zip_derived_cl396]) ).
thf(ax23,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( hd @ ( cons @ X0 @ X1 ) )
= X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl2317,plain,
( ( ( hd @ sk__7 )
= ( sk__3 @ sk__7 ) )
| ~ ( ssList @ sk__6 )
| ~ ( ssItem @ ( sk__3 @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2299,zip_derived_cl17]) ).
thf(zip_derived_cl49_024,plain,
ssList @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2347,plain,
( ( ( hd @ sk__7 )
= ( sk__3 @ sk__7 ) )
| ~ ( ssItem @ ( sk__3 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2317,zip_derived_cl49]) ).
thf(zip_derived_cl2691,plain,
( ~ ( ssList @ sk__7 )
| ( nil = sk__7 )
| ( ( hd @ sk__7 )
= ( sk__3 @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2347]) ).
thf(zip_derived_cl370_025,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl2693,plain,
( ( nil = sk__7 )
| ( ( hd @ sk__7 )
= ( sk__3 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2691,zip_derived_cl370]) ).
thf(zip_derived_cl396_026,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl370,zip_derived_cl8]) ).
thf(zip_derived_cl2694,plain,
( ( hd @ sk__7 )
= ( sk__3 @ sk__7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2693,zip_derived_cl396]) ).
thf(zip_derived_cl12_027,plain,
! [X0: $i] :
( ( ssItem @ ( sk__3 @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl2702,plain,
( ( ssItem @ ( hd @ sk__7 ) )
| ~ ( ssList @ sk__7 )
| ( nil = sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2694,zip_derived_cl12]) ).
thf(zip_derived_cl370_028,plain,
ssList @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl58]) ).
thf(zip_derived_cl2706,plain,
( ( ssItem @ ( hd @ sk__7 ) )
| ( nil = sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl2702,zip_derived_cl370]) ).
thf(zip_derived_cl396_029,plain,
sk__7 != nil,
inference(demod,[status(thm)],[zip_derived_cl394,zip_derived_cl370,zip_derived_cl8]) ).
thf(zip_derived_cl2707,plain,
ssItem @ ( hd @ sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2706,zip_derived_cl396]) ).
thf(zip_derived_cl3238,plain,
( ( cons @ ( hd @ sk__7 ) @ nil )
= nil ),
inference(demod,[status(thm)],[zip_derived_cl3237,zip_derived_cl8,zip_derived_cl2707]) ).
thf(ax18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ X1 )
!= X1 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl3260,plain,
( ( nil != nil )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( hd @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3238,zip_derived_cl9]) ).
thf(zip_derived_cl8_030,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2707_031,plain,
ssItem @ ( hd @ sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2706,zip_derived_cl396]) ).
thf(zip_derived_cl3301,plain,
nil != nil,
inference(demod,[status(thm)],[zip_derived_cl3260,zip_derived_cl8,zip_derived_cl2707]) ).
thf(zip_derived_cl3302,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : SWC005+1 : TPTP v9.2.0. Released v2.4.0.
% 0.01/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CGOCCJhg2K true
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Oct 1 17:12:23 EDT 2025
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.37/0.57 % Total configuration time : 435
% 0.37/0.57 % Estimated wc time : 1092
% 0.37/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.72/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.83/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.09/1.15 % Solved by fo/fo3_bce.sh.
% 2.09/1.15 % BCE start: 61
% 2.09/1.15 % BCE eliminated: 2
% 2.09/1.15 % PE start: 59
% 2.09/1.15 logic: eq
% 2.09/1.15 % PE eliminated: 2
% 2.09/1.15 % done 496 iterations in 0.353s
% 2.09/1.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.09/1.15 % SZS output start Refutation
% See solution above
% 2.09/1.16
% 2.09/1.16
% 2.09/1.16 % Terminating...
% 2.47/1.36 % Runner terminated.
% 2.47/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------