%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC229+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.UiH8mt31u0 true
% Computer : n013.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 04:59:02 PM UTC 2025
% Result : Theorem 14.01s 4.17s
% Output : Refutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 104 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 322 ( 92 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 833 ( 169 ~; 174 |; 13 &; 446 @)
% ( 3 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 98 ( 0 ^; 91 !; 7 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssItem_type,type,
ssItem: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(app_type,type,
app: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $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(sk__51_type,type,
sk__51: $i > $i > $i > $i ).
thf(sk__49_type,type,
sk__49: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
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(memberP_type,type,
memberP: $i > $i > $o ).
thf(singletonP_type,type,
singletonP: $i > $o ).
thf(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(sk__48_type,type,
sk__48: $i ).
thf(ax58,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( segmentP @ nil @ U )
<=> ( nil = U ) ) ) ).
thf(zip_derived_cl137,plain,
! [X0: $i] :
( ( nil != X0 )
| ( segmentP @ nil @ X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(ax57,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( segmentP @ X0 @ nil )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax57]) ).
thf(ax53,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ W ) )
=> ( segmentP @ U @ W ) ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( segmentP @ X0 @ X2 )
| ( segmentP @ X1 @ X2 )
| ~ ( ssList @ X2 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax53]) ).
thf(zip_derived_cl2416,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ nil )
| ~ ( segmentP @ nil @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl132]) ).
thf(ax17,axiom,
ssList @ nil ).
thf(zip_derived_cl83,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2426,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( segmentP @ nil @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2416,zip_derived_cl83]) ).
thf(zip_derived_cl2427,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ nil @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2426]) ).
thf(zip_derived_cl2435,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( nil != X0 )
| ~ ( ssList @ X0 )
| ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl2427]) ).
thf(zip_derived_cl2441,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( segmentP @ X1 @ X0 )
| ( nil != X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2435]) ).
thf(co1,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( segmentP @ X @ W )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( leq @ Y @ X2 )
| ( leq @ X2 @ Y ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ~ ( singletonP @ W )
& ( 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 )
| ~ ( segmentP @ X @ W )
| ( nil = U )
| ? [Y: $i] :
( ? [Z: $i] :
( ? [X1: $i] :
( ! [X2: $i] :
( ( ssItem @ X2 )
=> ( ~ ( memberP @ Z @ X2 )
| ~ ( memberP @ X1 @ X2 )
| ~ ( leq @ Y @ X2 )
| ( leq @ X2 @ Y ) ) )
& ( ( app @ ( app @ Z @ ( cons @ Y @ nil ) ) @ X1 )
= U )
& ( ssList @ X1 ) )
& ( ssList @ Z ) )
& ( ssItem @ Y ) )
| ( ~ ( singletonP @ W )
& ( neq @ X @ nil ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl200,plain,
segmentP @ sk__50 @ sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1564,plain,
segmentP @ sk__48 @ sk__47,
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl201,zip_derived_cl198]) ).
thf(ax54,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ( X1 = X0 )
| ~ ( segmentP @ X0 @ X1 )
| ~ ( segmentP @ X1 @ X0 )
| ~ ( ssList @ X1 ) ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl1841,plain,
( ~ ( ssList @ sk__48 )
| ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1564,zip_derived_cl133]) ).
thf(zip_derived_cl202,plain,
ssList @ sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201_001,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1563,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl190,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1849,plain,
( ( sk__47 = sk__48 )
| ~ ( segmentP @ sk__47 @ sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl1841,zip_derived_cl1563,zip_derived_cl190]) ).
thf(zip_derived_cl2559,plain,
( ~ ( ssList @ sk__48 )
| ( nil != sk__48 )
| ~ ( ssList @ sk__47 )
| ( sk__47 = sk__48 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2441,zip_derived_cl1849]) ).
thf(zip_derived_cl1563_002,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl190_003,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2567,plain,
( ( nil != sk__48 )
| ( sk__47 = sk__48 ) ),
inference(demod,[status(thm)],[zip_derived_cl2559,zip_derived_cl1563,zip_derived_cl190]) ).
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_cl199,plain,
( ( singletonP @ sk__49 )
| ~ ( neq @ sk__50 @ nil ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1501,plain,
( ~ ( ssList @ sk__50 )
| ( sk__50 = nil )
| ~ ( ssList @ nil )
| ( singletonP @ sk__49 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl199]) ).
thf(zip_derived_cl201_004,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1563_005,plain,
ssList @ sk__48,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl201]) ).
thf(zip_derived_cl201_006,plain,
sk__48 = sk__50,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_007,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl198_008,plain,
sk__47 = sk__49,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1593,plain,
( ( sk__48 = nil )
| ( singletonP @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl201,zip_derived_cl1563,zip_derived_cl201,zip_derived_cl83,zip_derived_cl198]) ).
thf(ax4,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ( cons @ V @ nil )
= U )
& ( ssItem @ V ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ( cons @ ( sk__4 @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
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_cl2003,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssItem @ ( sk__4 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( ssList @ nil ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl92]) ).
thf(zip_derived_cl83_009,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2005,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssItem @ ( sk__4 @ X0 ) )
| ( ( hd @ X0 )
= ( sk__4 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2003,zip_derived_cl83]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ssItem @ ( sk__4 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2369,plain,
! [X0: $i] :
( ( ( hd @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2005,zip_derived_cl10]) ).
thf(zip_derived_cl11_010,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ( cons @ ( sk__4 @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2371,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( singletonP @ X0 )
| ( ( cons @ ( hd @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2369,zip_derived_cl11]) ).
thf(zip_derived_cl2373,plain,
! [X0: $i] :
( ( ( cons @ ( hd @ X0 ) @ nil )
= X0 )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2371]) ).
thf(zip_derived_cl2397,plain,
( ( sk__48 = nil )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1593,zip_derived_cl2373]) ).
thf(zip_derived_cl190_011,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2399,plain,
( ( sk__48 = nil )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2397,zip_derived_cl190]) ).
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(zip_derived_cl2777,plain,
! [X0: $i] :
( ( sk__48 = nil )
| ~ ( ssItem @ ( hd @ sk__47 ) )
| ( ( cons @ ( hd @ sk__47 ) @ X0 )
= ( app @ sk__47 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2399,zip_derived_cl171]) ).
thf(zip_derived_cl1593_012,plain,
( ( sk__48 = nil )
| ( singletonP @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl201,zip_derived_cl1563,zip_derived_cl201,zip_derived_cl83,zip_derived_cl198]) ).
thf(zip_derived_cl2369_013,plain,
! [X0: $i] :
( ( ( hd @ X0 )
= ( sk__4 @ X0 ) )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2005,zip_derived_cl10]) ).
thf(zip_derived_cl10_014,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ssItem @ ( sk__4 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2370,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ~ ( singletonP @ X0 )
| ( ssItem @ ( hd @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2369,zip_derived_cl10]) ).
thf(zip_derived_cl2372,plain,
! [X0: $i] :
( ( ssItem @ ( hd @ X0 ) )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2370]) ).
thf(zip_derived_cl2389,plain,
( ( sk__48 = nil )
| ( ssItem @ ( hd @ sk__47 ) )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1593,zip_derived_cl2372]) ).
thf(zip_derived_cl190_015,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2391,plain,
( ( sk__48 = nil )
| ( ssItem @ ( hd @ sk__47 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2389,zip_derived_cl190]) ).
thf(zip_derived_cl3030,plain,
! [X0: $i] :
( ~ ( ssList @ X0 )
| ( ( cons @ ( hd @ sk__47 ) @ X0 )
= ( app @ sk__47 @ X0 ) )
| ( sk__48 = nil ) ),
inference(clc,[status(thm)],[zip_derived_cl2777,zip_derived_cl2391]) ).
thf(zip_derived_cl2399_016,plain,
( ( sk__48 = nil )
| ( ( cons @ ( hd @ sk__47 ) @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl2397,zip_derived_cl190]) ).
thf(zip_derived_cl3067,plain,
( ( sk__48 = nil )
| ~ ( ssList @ nil )
| ( sk__48 = nil )
| ( ( app @ sk__47 @ nil )
= sk__47 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3030,zip_derived_cl2399]) ).
thf(zip_derived_cl83_017,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3103,plain,
( ( sk__48 = nil )
| ( sk__48 = nil )
| ( ( app @ sk__47 @ nil )
= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl3067,zip_derived_cl83]) ).
thf(zip_derived_cl3104,plain,
( ( ( app @ sk__47 @ nil )
= sk__47 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl3103]) ).
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_cl11_018,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ( cons @ ( sk__4 @ X0 ) @ nil )
= X0 )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( ssItem @ ( sk__51 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ssList @ X0 )
| ( memberP @ X0 @ ( sk__51 @ X1 @ X0 @ X2 ) )
| ( ( app @ ( app @ X0 @ ( cons @ X2 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl3123,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ ( sk__51 @ X1 @ nil @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl113]) ).
thf(zip_derived_cl83_019,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3124,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ ( sk__51 @ X1 @ nil @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3123,zip_derived_cl83]) ).
thf(zip_derived_cl3284,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl3124]) ).
thf(zip_derived_cl83_020,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3285,plain,
! [X0: $i,X1: $i] :
( ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssItem @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl3284,zip_derived_cl83]) ).
thf(zip_derived_cl3286,plain,
! [X0: $i,X1: $i] :
( ( ( app @ ( app @ nil @ ( cons @ X0 @ nil ) ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3285]) ).
thf(zip_derived_cl3343,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( singletonP @ X0 )
| ( ( app @ ( app @ nil @ X0 ) @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssItem @ ( sk__4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl3286]) ).
thf(zip_derived_cl10_021,plain,
! [X0: $i] :
( ~ ( singletonP @ X0 )
| ( ssItem @ ( sk__4 @ X0 ) )
| ~ ( ssList @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl4594,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X1 )
| ( ( app @ ( app @ nil @ X0 ) @ X1 )
!= sk__47 )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3343,zip_derived_cl10]) ).
thf(zip_derived_cl4602,plain,
! [X0: $i,X1: $i] :
( ~ ( ssList @ X0 )
| ~ ( ssList @ X1 )
| ( ( app @ X0 @ X1 )
!= sk__47 )
| ~ ( singletonP @ X0 )
| ~ ( ssList @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl4594]) ).
thf(zip_derived_cl4612,plain,
! [X0: $i,X1: $i] :
( ~ ( singletonP @ X0 )
| ( ( app @ X0 @ X1 )
!= sk__47 )
| ~ ( ssList @ X1 )
| ~ ( ssList @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4602]) ).
thf(zip_derived_cl5009,plain,
( ( sk__48 = nil )
| ~ ( singletonP @ sk__47 )
| ( sk__47 != sk__47 )
| ~ ( ssList @ nil )
| ~ ( ssList @ sk__47 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3104,zip_derived_cl4612]) ).
thf(zip_derived_cl83_022,plain,
ssList @ nil,
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl190_023,plain,
ssList @ sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5022,plain,
( ( sk__48 = nil )
| ~ ( singletonP @ sk__47 )
| ( sk__47 != sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl5009,zip_derived_cl83,zip_derived_cl190]) ).
thf(zip_derived_cl5023,plain,
( ~ ( singletonP @ sk__47 )
| ( sk__48 = nil ) ),
inference(simplify,[status(thm)],[zip_derived_cl5022]) ).
thf(zip_derived_cl1593_024,plain,
( ( sk__48 = nil )
| ( singletonP @ sk__47 ) ),
inference(demod,[status(thm)],[zip_derived_cl1501,zip_derived_cl201,zip_derived_cl1563,zip_derived_cl201,zip_derived_cl83,zip_derived_cl198]) ).
thf(zip_derived_cl5067,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl5023,zip_derived_cl1593]) ).
thf(zip_derived_cl5067_025,plain,
sk__48 = nil,
inference(clc,[status(thm)],[zip_derived_cl5023,zip_derived_cl1593]) ).
thf(zip_derived_cl5075,plain,
( ( nil != nil )
| ( sk__47 = nil ) ),
inference(demod,[status(thm)],[zip_derived_cl2567,zip_derived_cl5067,zip_derived_cl5067]) ).
thf(zip_derived_cl5076,plain,
sk__47 = nil,
inference(simplify,[status(thm)],[zip_derived_cl5075]) ).
thf(zip_derived_cl197,plain,
nil != sk__47,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5077,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5076,zip_derived_cl197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC229+1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UiH8mt31u0 true
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 17:11:53 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.47/0.70 % Total configuration time : 435
% 0.47/0.70 % Estimated wc time : 1092
% 0.47/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.93 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/1.00 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.01/4.17 % Solved by fo/fo6_bce.sh.
% 14.01/4.17 % BCE start: 204
% 14.01/4.17 % BCE eliminated: 4
% 14.01/4.17 % PE start: 200
% 14.01/4.17 logic: eq
% 14.01/4.17 % PE eliminated: 6
% 14.01/4.17 % done 490 iterations in 3.182s
% 14.01/4.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.01/4.17 % SZS output start Refutation
% See solution above
% 14.01/4.17
% 14.01/4.17
% 14.01/4.17 % Terminating...
% 14.43/4.35 % Runner terminated.
% 14.49/4.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------