%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV396+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bz3CcGlIou true
% Computer : n024.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 05:00:59 PM UTC 2025
% Result : Theorem 12.15s 2.37s
% Output : Refutation 12.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 82 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 176 ( 56 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 796 ( 53 ~; 65 |; 14 &; 649 @)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 10 con; 0-3 aty)
% Number of variables : 163 ( 0 ^; 163 !; 0 ?; 163 :)
% Comments :
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(create_slb_type,type,
create_slb: $i ).
thf(pair_type,type,
pair: $i > $i > $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(bad_type,type,
bad: $i ).
thf(isnonempty_slb_type,type,
isnonempty_slb: $i > $o ).
thf(remove_slb_type,type,
remove_slb: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(remove_cpq_type,type,
remove_cpq: $i > $i > $i ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(ok_type,type,
ok: $i > $o ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(lookup_slb_type,type,
lookup_slb: $i > $i > $i ).
thf(contains_slb_type,type,
contains_slb: $i > $i > $o ).
thf(insert_slb_type,type,
insert_slb: $i > $i > $i ).
thf(remove_pqp_type,type,
remove_pqp: $i > $i > $i ).
thf(l32_co,conjecture,
! [U: $i] :
( ! [V: $i,W: $i,X: $i,Y: $i] :
( ( ( pair_in_list @ U @ X @ Y )
& ( strictly_less_than @ X @ Y )
& ( ok @ ( remove_cpq @ ( triple @ V @ U @ W ) @ X ) ) )
=> ( pair_in_list @ ( remove_slb @ U @ X ) @ X @ Y ) )
=> ! [Z: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( pair_in_list @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X2 @ X3 )
& ( strictly_less_than @ X2 @ X3 )
& ( ok @ ( remove_cpq @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X1 ) @ X2 ) ) )
=> ( pair_in_list @ ( remove_slb @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X2 ) @ X2 @ X3 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i] :
( ! [V: $i,W: $i,X: $i,Y: $i] :
( ( ( pair_in_list @ U @ X @ Y )
& ( strictly_less_than @ X @ Y )
& ( ok @ ( remove_cpq @ ( triple @ V @ U @ W ) @ X ) ) )
=> ( pair_in_list @ ( remove_slb @ U @ X ) @ X @ Y ) )
=> ! [Z: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( pair_in_list @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X2 @ X3 )
& ( strictly_less_than @ X2 @ X3 )
& ( ok @ ( remove_cpq @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X1 ) @ X2 ) ) )
=> ( pair_in_list @ ( remove_slb @ ( insert_slb @ U @ ( pair @ X4 @ X5 ) ) @ X2 ) @ X2 @ X3 ) ) ),
inference('cnf.neg',[status(esa)],[l32_co]) ).
thf(zip_derived_cl53,plain,
ok @ ( remove_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__2 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(stricly_smaller_definition,axiom,
! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(totality,axiom,
! [U: $i,V: $i] :
( ( less_than @ V @ U )
| ( less_than @ U @ V ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl258,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X1 @ X0 )
| ( strictly_less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(ax45,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( strictly_less_than @ X @ ( lookup_slb @ V @ X ) ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ bad ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( remove_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
= ( triple @ ( remove_pqp @ X0 @ X1 ) @ ( remove_slb @ X2 @ X1 ) @ bad ) )
| ~ ( strictly_less_than @ X1 @ ( lookup_slb @ X2 @ X1 ) )
| ~ ( contains_slb @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ax45]) ).
thf(ax40,axiom,
! [U: $i,V: $i] :
~ ( ok @ ( triple @ U @ V @ bad ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( contains_slb @ X2 @ X0 )
| ~ ( strictly_less_than @ X0 @ ( lookup_slb @ X2 @ X0 ) )
| ~ ( ok @ ( remove_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl36]) ).
thf(zip_derived_cl393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( less_than @ ( lookup_slb @ X1 @ X0 ) @ X0 )
| ~ ( contains_slb @ X1 @ X0 )
| ~ ( ok @ ( remove_cpq @ ( triple @ X3 @ X1 @ X2 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl376]) ).
thf(zip_derived_cl850,plain,
( ( less_than @ ( lookup_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) @ sk__3 )
| ~ ( contains_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl393]) ).
thf(ax43,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
= ( triple @ X0 @ X1 @ bad ) )
| ( contains_slb @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ax43]) ).
thf(zip_derived_cl53_001,plain,
ok @ ( remove_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__2 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl353,plain,
( ( contains_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 )
| ( ok @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ bad ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl53]) ).
thf(zip_derived_cl36_002,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl397,plain,
contains_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl353,zip_derived_cl36]) ).
thf(zip_derived_cl857,plain,
less_than @ ( lookup_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl397]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( strictly_less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl860,plain,
~ ( strictly_less_than @ sk__3 @ ( lookup_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl857,zip_derived_cl4]) ).
thf(ax27,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( lookup_slb @ U @ W ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ( X2 = X1 )
| ( ( lookup_slb @ ( insert_slb @ X0 @ ( pair @ X2 @ X3 ) ) @ X1 )
= ( lookup_slb @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[ax27]) ).
thf(zip_derived_cl857_003,plain,
less_than @ ( lookup_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl397]) ).
thf(zip_derived_cl867,plain,
( ( sk__5 = sk__3 )
| ~ ( contains_slb @ sk_ @ sk__3 )
| ( less_than @ ( lookup_slb @ sk_ @ sk__3 ) @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl857]) ).
thf(zip_derived_cl397_004,plain,
contains_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl353,zip_derived_cl36]) ).
thf(ax21,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( contains_slb @ X2 @ X0 )
| ~ ( contains_slb @ ( insert_slb @ X2 @ ( pair @ X1 @ X3 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl398,plain,
( ( sk__5 = sk__3 )
| ( contains_slb @ sk_ @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl10]) ).
thf(zip_derived_cl875,plain,
( ( less_than @ ( lookup_slb @ sk_ @ sk__3 ) @ sk__3 )
| ( sk__5 = sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl867,zip_derived_cl398]) ).
thf(ax44,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( remove_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
= ( triple @ ( remove_pqp @ X0 @ X1 ) @ ( remove_slb @ X2 @ X1 ) @ X3 ) )
| ~ ( less_than @ ( lookup_slb @ X2 @ X1 ) @ X1 )
| ~ ( contains_slb @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ax44]) ).
thf(ax41,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = bad )
| ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax41]) ).
thf(zip_derived_cl363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( contains_slb @ X2 @ X0 )
| ~ ( less_than @ ( lookup_slb @ X2 @ X0 ) @ X0 )
| ( X1 = bad )
| ( ok @ ( remove_cpq @ ( triple @ X3 @ X2 @ X1 ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl37]) ).
thf(zip_derived_cl2501,plain,
! [X0: $i,X1: $i] :
( ( sk__5 = sk__3 )
| ~ ( contains_slb @ sk_ @ sk__3 )
| ( X0 = bad )
| ( ok @ ( remove_cpq @ ( triple @ X1 @ sk_ @ X0 ) @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl875,zip_derived_cl363]) ).
thf(zip_derived_cl398_005,plain,
( ( sk__5 = sk__3 )
| ( contains_slb @ sk_ @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl10]) ).
thf(zip_derived_cl2514,plain,
! [X0: $i,X1: $i] :
( ( ok @ ( remove_cpq @ ( triple @ X1 @ sk_ @ X0 ) @ sk__3 ) )
| ( X0 = bad )
| ( sk__5 = sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl2501,zip_derived_cl398]) ).
thf(zip_derived_cl52,plain,
pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax23,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
<=> ( ( pair_in_list @ U @ W @ Y )
| ( ( V = W )
& ( X = Y ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ( pair_in_list @ X2 @ X0 @ X3 )
| ~ ( pair_in_list @ ( insert_slb @ X2 @ ( pair @ X1 @ X4 ) ) @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl268,plain,
( ( sk__5 = sk__3 )
| ( pair_in_list @ sk_ @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl14]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ok @ ( remove_cpq @ ( triple @ X0 @ sk_ @ X1 ) @ X2 ) )
| ~ ( pair_in_list @ sk_ @ X2 @ X3 )
| ~ ( strictly_less_than @ X2 @ X3 )
| ( pair_in_list @ ( remove_slb @ sk_ @ X2 ) @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl469,plain,
! [X0: $i,X1: $i] :
( ( sk__5 = sk__3 )
| ~ ( ok @ ( remove_cpq @ ( triple @ X1 @ sk_ @ X0 ) @ sk__3 ) )
| ~ ( strictly_less_than @ sk__3 @ sk__4 )
| ( pair_in_list @ ( remove_slb @ sk_ @ sk__3 ) @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl50]) ).
thf(zip_derived_cl51,plain,
strictly_less_than @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i] :
( ( sk__5 = sk__3 )
| ~ ( ok @ ( remove_cpq @ ( triple @ X1 @ sk_ @ X0 ) @ sk__3 ) )
| ( pair_in_list @ ( remove_slb @ sk_ @ sk__3 ) @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl469,zip_derived_cl51]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
| ~ ( pair_in_list @ X0 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl398_006,plain,
( ( sk__5 = sk__3 )
| ( contains_slb @ sk_ @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl10]) ).
thf(ax25,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != W )
& ( contains_slb @ U @ W ) )
=> ( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
= ( insert_slb @ ( remove_slb @ U @ W ) @ ( pair @ V @ X ) ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ( X2 = X1 )
| ( ( remove_slb @ ( insert_slb @ X0 @ ( pair @ X2 @ X3 ) ) @ X1 )
= ( insert_slb @ ( remove_slb @ X0 @ X1 ) @ ( pair @ X2 @ X3 ) ) ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl54,plain,
~ ( pair_in_list @ ( remove_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,plain,
( ( sk__5 = sk__3 )
| ~ ( contains_slb @ sk_ @ sk__3 )
| ~ ( pair_in_list @ ( insert_slb @ ( remove_slb @ sk_ @ sk__3 ) @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl54]) ).
thf(zip_derived_cl424,plain,
( ( sk__5 = sk__3 )
| ( sk__5 = sk__3 )
| ~ ( pair_in_list @ ( insert_slb @ ( remove_slb @ sk_ @ sk__3 ) @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl283]) ).
thf(zip_derived_cl425,plain,
( ~ ( pair_in_list @ ( insert_slb @ ( remove_slb @ sk_ @ sk__3 ) @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 @ sk__4 )
| ( sk__5 = sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl424]) ).
thf(zip_derived_cl426,plain,
( ~ ( pair_in_list @ ( remove_slb @ sk_ @ sk__3 ) @ sk__3 @ sk__4 )
| ( sk__5 = sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl425]) ).
thf(zip_derived_cl561,plain,
! [X0: $i,X1: $i] :
( ~ ( ok @ ( remove_cpq @ ( triple @ X1 @ sk_ @ X0 ) @ sk__3 ) )
| ( sk__5 = sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl471,zip_derived_cl426]) ).
thf(zip_derived_cl2515,plain,
! [X0: $i] :
( ( sk__5 = sk__3 )
| ( X0 = bad ) ),
inference(clc,[status(thm)],[zip_derived_cl2514,zip_derived_cl561]) ).
thf(ax19,axiom,
! [U: $i,V: $i,W: $i] : ( isnonempty_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] : ( isnonempty_slb @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(ax18,axiom,
~ ( isnonempty_slb @ create_slb ) ).
thf(zip_derived_cl7,plain,
~ ( isnonempty_slb @ create_slb ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( insert_slb @ X2 @ ( pair @ X1 @ X0 ) )
!= create_slb ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl2623,plain,
( ( sk__5 = sk__3 )
| ( bad != create_slb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2515,zip_derived_cl211]) ).
thf(zip_derived_cl2515_007,plain,
! [X0: $i] :
( ( sk__5 = sk__3 )
| ( X0 = bad ) ),
inference(clc,[status(thm)],[zip_derived_cl2514,zip_derived_cl561]) ).
thf(zip_derived_cl3281,plain,
sk__5 = sk__3,
inference(clc,[status(thm)],[zip_derived_cl2623,zip_derived_cl2515]) ).
thf(ax26,axiom,
! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( lookup_slb @ ( insert_slb @ X1 @ ( pair @ X2 @ X0 ) ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[ax26]) ).
thf(zip_derived_cl3288,plain,
~ ( strictly_less_than @ sk__3 @ sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl3281,zip_derived_cl20]) ).
thf(zip_derived_cl52_008,plain,
pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ( pair_in_list @ X2 @ X3 @ X0 )
| ~ ( pair_in_list @ ( insert_slb @ X2 @ ( pair @ X4 @ X1 ) ) @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl270,plain,
( ( sk__6 = sk__4 )
| ( pair_in_list @ sk_ @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl15]) ).
thf(zip_derived_cl54_009,plain,
~ ( pair_in_list @ ( remove_slb @ ( insert_slb @ sk_ @ ( pair @ sk__5 @ sk__6 ) ) @ sk__3 ) @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3281_010,plain,
sk__5 = sk__3,
inference(clc,[status(thm)],[zip_derived_cl2623,zip_derived_cl2515]) ).
thf(ax24,axiom,
! [U: $i,V: $i,W: $i] :
( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= U ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( remove_slb @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3284,plain,
~ ( pair_in_list @ sk_ @ sk__3 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl3281,zip_derived_cl18]) ).
thf(zip_derived_cl3307,plain,
sk__6 = sk__4,
inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl3284]) ).
thf(zip_derived_cl51_011,plain,
strictly_less_than @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3313,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3288,zip_derived_cl3307,zip_derived_cl51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV396+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bz3CcGlIou true
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 12:31:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.49/0.60 % Total configuration time : 435
% 0.49/0.60 % Estimated wc time : 1092
% 0.49/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.15/2.37 % Solved by fo/fo6_bce.sh.
% 12.15/2.37 % BCE start: 55
% 12.15/2.37 % BCE eliminated: 0
% 12.15/2.37 % PE start: 55
% 12.15/2.37 logic: eq
% 12.15/2.37 % PE eliminated: 2
% 12.15/2.37 % done 587 iterations in 1.586s
% 12.15/2.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.15/2.37 % SZS output start Refutation
% See solution above
% 12.15/2.37
% 12.15/2.37
% 12.15/2.37 % Terminating...
% 12.86/2.53 % Runner terminated.
% 12.86/2.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------