%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC253+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RxaSvw3ewI true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:59:08 PM UTC 2025
% Result : Theorem 5.37s 1.40s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 12
% Syntax : Number of formulae : 125 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 389 ( 202 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 822 ( 148 ~; 220 |; 13 &; 410 @)
% ( 2 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 83 ( 0 ^; 78 !; 5 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__47_type,type,
sk__47: $i ).
thf(hd_type,type,
hd: $i > $i ).
thf(ssList_type,type,
ssList: $i > $o ).
thf(tl_type,type,
tl: $i > $i ).
thf(sk__50_type,type,
sk__50: $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(sk__48_type,type,
sk__48: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(singletonP_type,type,
singletonP: $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 )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ? [Z: $i] :
( ( neq @ nil @ X )
& ( ( app @ W @ Z )
= Y )
& ( ( tl @ X )
= Z )
& ( ssList @ Z ) )
& ( X != Y )
& ( ssList @ Y ) )
| ( singletonP @ U ) )
& ( ~ ( 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 ) )
| ( singletonP @ U ) )
& ( ~ ( 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_cl1566,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_cl1566_006,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl2365,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_cl1566]) ).
thf(zip_derived_cl2367,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_cl2365]) ).
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_cl1561,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2368,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_cl2367,zip_derived_cl83,zip_derived_cl1561]) ).
thf(zip_derived_cl2376,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_cl2368]) ).
thf(zip_derived_cl2377,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_cl2376]) ).
thf(zip_derived_cl1561_008,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2378,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_cl2377,zip_derived_cl1561]) ).
thf(zip_derived_cl2379,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( sk__48 = X0 )
| ( ( app @ sk__47 @ ( tl @ sk__48 ) )
!= X0 )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2378]) ).
thf(zip_derived_cl2410,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_cl2379]) ).
thf(zip_derived_cl2412,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_cl2410]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2414,plain,
( ~ ( ssList @ ( tl @ sk__48 ) )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2412,zip_derived_cl190]) ).
thf(zip_derived_cl2417,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_cl2414]) ).
thf(zip_derived_cl1561_009,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2418,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2417,zip_derived_cl1561]) ).
thf(zip_derived_cl2419,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2418]) ).
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_cl93_010,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl93_011,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl93_012,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl2419_013,plain,
( ( sk__48
= ( app @ sk__47 @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2418]) ).
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_cl2463,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_cl2419,zip_derived_cl178]) ).
thf(zip_derived_cl190_014,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2485,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_cl2463,zip_derived_cl190]) ).
thf(zip_derived_cl2495,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( ( tl @ sk__48 )
= ( app @ ( tl @ sk__47 ) @ ( tl @ sk__48 ) ) )
| ( nil = sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2485]) ).
thf(zip_derived_cl1561_015,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2496,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( ( tl @ sk__48 )
= ( app @ ( tl @ sk__47 ) @ ( tl @ sk__48 ) ) )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2495,zip_derived_cl1561]) ).
thf(zip_derived_cl2497,plain,
( ( nil = sk__47 )
| ( ( tl @ sk__48 )
= ( app @ ( tl @ sk__47 ) @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2496]) ).
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_cl1769,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_016,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1786,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X0 )
| ( X0
!= ( app @ X1 @ X0 ) )
| ( nil = X1 )
| ~ ( ssList @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1769,zip_derived_cl83]) ).
thf(zip_derived_cl1787,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( nil = X1 )
| ( X0
!= ( app @ X1 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1786]) ).
thf(zip_derived_cl2527,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_cl2497,zip_derived_cl1787]) ).
thf(zip_derived_cl2533,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_cl2527]) ).
thf(zip_derived_cl2542,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil
= ( tl @ sk__47 ) )
| ~ ( ssList @ ( tl @ sk__47 ) )
| ( nil = sk__47 )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2533]) ).
thf(zip_derived_cl1561_017,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl2543,plain,
( ( nil = sk__48 )
| ( nil
= ( tl @ sk__47 ) )
| ~ ( ssList @ ( tl @ sk__47 ) )
| ( nil = sk__47 )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl2542,zip_derived_cl1561]) ).
thf(zip_derived_cl2544,plain,
( ( nil = sk__47 )
| ~ ( ssList @ ( tl @ sk__47 ) )
| ( nil
= ( tl @ sk__47 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2543]) ).
thf(zip_derived_cl2545,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( nil = sk__47 )
| ( nil
= ( tl @ sk__47 ) )
| ( nil = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2544]) ).
thf(zip_derived_cl190_018,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2546,plain,
( ( nil = sk__47 )
| ( nil = sk__47 )
| ( nil
= ( tl @ sk__47 ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl2545,zip_derived_cl190]) ).
thf(zip_derived_cl2547,plain,
( ( nil = sk__48 )
| ( nil
= ( tl @ sk__47 ) )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2546]) ).
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_cl2841,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_cl2547,zip_derived_cl168]) ).
thf(zip_derived_cl190_019,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2843,plain,
( ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2841,zip_derived_cl190]) ).
thf(zip_derived_cl2844,plain,
( ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2843]) ).
thf(ax4,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ( cons @ V @ nil )
= U )
& ( ssItem @ V ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( cons @ X1 @ nil )
!= X0 )
| ~ ( ssItem @ X1 )
| ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl198,plain,
( ~ ( singletonP @ sk__47 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1508,plain,
! [X0: $i] :
( ~ ( ssList @ sk__47 )
| ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__47 )
| ~ ( neq @ sk__50 @ nil ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl198]) ).
thf(zip_derived_cl190_020,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199_021,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1566_022,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl1619,plain,
! [X0: $i] :
( ~ ( ssItem @ X0 )
| ( ( cons @ X0 @ nil )
!= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1508,zip_derived_cl190,zip_derived_cl199,zip_derived_cl1566]) ).
thf(zip_derived_cl2884,plain,
( ( nil = sk__47 )
| ( nil = sk__48 )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( sk__47 != sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2844,zip_derived_cl1619]) ).
thf(zip_derived_cl2916,plain,
( ~ ( ssItem @ ( hd @ sk__47 ) )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2884]) ).
thf(zip_derived_cl2921,plain,
( ~ ( ssList @ sk__47 )
| ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl2916]) ).
thf(zip_derived_cl190_023,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2922,plain,
( ( nil = sk__47 )
| ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2921,zip_derived_cl190]) ).
thf(zip_derived_cl2923,plain,
( ( nil = sk__48 )
| ( nil = sk__47 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2922]) ).
thf(zip_derived_cl1566_024,plain,
neq @ sk__48 @ nil,
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl2925,plain,
( ( nil = sk__47 )
| ( neq @ nil @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2923,zip_derived_cl1566]) ).
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_cl1629,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl1630,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1629]) ).
thf(zip_derived_cl2934,plain,
( ( nil = sk__47 )
| ~ ( ssList @ nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2925,zip_derived_cl1630]) ).
thf(zip_derived_cl83_025,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2935,plain,
nil = sk__47,
inference(demod,[status(thm)],[zip_derived_cl2934,zip_derived_cl83]) ).
thf(zip_derived_cl3020,plain,
( ( sk__48
= ( app @ nil @ ( tl @ sk__48 ) ) )
| ( nil = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl2419,zip_derived_cl2935]) ).
thf(zip_derived_cl97_026,plain,
! [X0: $i] :
( ( ( app @ nil @ X0 )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf(zip_derived_cl3176,plain,
( ( nil = sk__48 )
| ( sk__48
= ( tl @ sk__48 ) )
| ~ ( ssList @ ( tl @ sk__48 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3020,zip_derived_cl97]) ).
thf(zip_derived_cl3218,plain,
( ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( tl @ sk__48 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl3176]) ).
thf(zip_derived_cl1561_027,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl3219,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48
= ( tl @ sk__48 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3218,zip_derived_cl1561]) ).
thf(zip_derived_cl3220,plain,
( ( sk__48
= ( tl @ sk__48 ) )
| ( nil = sk__48 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3219]) ).
thf(zip_derived_cl168_028,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_cl2813,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_029,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl2846,plain,
! [X0: $i] :
( ~ ( ssList @ ( tl @ X0 ) )
| ( X0
!= ( tl @ X0 ) )
| ( nil = X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2813,zip_derived_cl91]) ).
thf(zip_derived_cl93_030,plain,
! [X0: $i] :
( ( nil = X0 )
| ( ssList @ ( tl @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl2847,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( nil = X0 )
| ( X0
!= ( tl @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2846,zip_derived_cl93]) ).
thf(zip_derived_cl3227,plain,
( ( nil = sk__48 )
| ~ ( ssList @ sk__48 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3220,zip_derived_cl2847]) ).
thf(zip_derived_cl1561_031,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).
thf(zip_derived_cl3239,plain,
( ( nil = sk__48 )
| ( nil = sk__48 )
| ( sk__48 != sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl3227,zip_derived_cl1561]) ).
thf(zip_derived_cl3240,plain,
nil = sk__48,
inference(simplify,[status(thm)],[zip_derived_cl3239]) ).
thf(zip_derived_cl3248,plain,
neq @ nil @ nil,
inference(demod,[status(thm)],[zip_derived_cl1566,zip_derived_cl3240]) ).
thf(zip_derived_cl1630_032,plain,
! [X0: $i] :
( ~ ( neq @ X0 @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1629]) ).
thf(zip_derived_cl3250,plain,
~ ( ssList @ nil ),
inference('s_sup-',[status(thm)],[zip_derived_cl3248,zip_derived_cl1630]) ).
thf(zip_derived_cl83_033,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3251,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3250,zip_derived_cl83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC253+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RxaSvw3ewI true
% 0.14/0.35 % Computer : n018.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 : Wed Oct 1 17:07:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.58/0.64 % Total configuration time : 435
% 0.58/0.64 % Estimated wc time : 1092
% 0.58/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.37/1.40 % Solved by fo/fo6_bce.sh.
% 5.37/1.40 % BCE start: 202
% 5.37/1.40 % BCE eliminated: 2
% 5.37/1.40 % PE start: 200
% 5.37/1.40 logic: eq
% 5.37/1.40 % PE eliminated: 6
% 5.37/1.40 % done 295 iterations in 0.631s
% 5.37/1.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.37/1.40 % SZS output start Refutation
% See solution above
% 5.37/1.40
% 5.37/1.40
% 5.37/1.40 % Terminating...
% 5.78/1.47 % Runner terminated.
% 5.78/1.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------