TSTP Solution File: SWV406+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV406+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fMiGId4mH7 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 : Fri Sep 1 00:09:35 EDT 2023
% Result : Theorem 12.13s 2.33s
% Output : Refutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 134 ( 1 unt; 20 typ; 0 def)
% Number of atoms : 297 ( 23 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1336 ( 117 ~; 90 |; 12 &;1036 @)
% ( 11 <=>; 10 =>; 60 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 10 con; 0-5 aty)
% Number of variables : 234 ( 0 ^; 234 !; 0 ?; 234 :)
% Comments :
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i ).
thf(check_cpq_type,type,
check_cpq: $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(pair_type,type,
pair: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(insert_slb_type,type,
insert_slb: $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(ax37,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( less_than @ Y @ X )
=> ( ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
<=> ( check_cpq @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( check_cpq @ ( triple @ X0 @ X1 @ X2 ) )
| ( check_cpq @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X3 @ X4 ) ) @ X2 ) )
| ~ ( less_than @ X4 @ X3 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(l42_co,conjecture,
! [U: $i] :
( ! [V: $i,W: $i] :
( ( check_cpq @ ( triple @ V @ U @ W ) )
<=> ! [X: $i,Y: $i] :
( ( pair_in_list @ U @ X @ Y )
=> ( less_than @ Y @ X ) ) )
=> ! [Z: $i,X1: $i,X2: $i,X3: $i] :
( ( check_cpq @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X1 ) )
<=> ! [X4: $i,X5: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X4 @ X5 )
=> ( less_than @ X5 @ X4 ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X5: $i,X4: $i,X3: $i,X2: $i,U: $i] :
( ( zip_tseitin_1 @ X5 @ X4 @ X3 @ X2 @ U )
<=> ( ( pair_in_list @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X4 @ X5 )
=> ( less_than @ X5 @ X4 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i,U: $i] :
( ( zip_tseitin_0 @ Y @ X @ U )
<=> ( ( pair_in_list @ U @ X @ Y )
=> ( less_than @ Y @ X ) ) ) ).
thf(zf_stmt_4,conjecture,
! [U: $i] :
( ! [V: $i,W: $i] :
( ( check_cpq @ ( triple @ V @ U @ W ) )
<=> ! [X: $i,Y: $i] : ( zip_tseitin_0 @ Y @ X @ U ) )
=> ! [Z: $i,X1: $i,X2: $i,X3: $i] :
( ( check_cpq @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X1 ) )
<=> ! [X4: $i,X5: $i] : ( zip_tseitin_1 @ X5 @ X4 @ X3 @ X2 @ U ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [U: $i] :
( ! [V: $i,W: $i] :
( ( check_cpq @ ( triple @ V @ U @ W ) )
<=> ! [X: $i,Y: $i] : ( zip_tseitin_0 @ Y @ X @ U ) )
=> ! [Z: $i,X1: $i,X2: $i,X3: $i] :
( ( check_cpq @ ( triple @ Z @ ( insert_slb @ U @ ( pair @ X2 @ X3 ) ) @ X1 ) )
<=> ! [X4: $i,X5: $i] : ( zip_tseitin_1 @ X5 @ X4 @ X3 @ X2 @ U ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl58,plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
| ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl64,plain,
( ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) )
<= ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl1084,plain,
( ( ~ ( less_than @ sk__4 @ sk__3 )
| ~ ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) ) )
<= ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl64]) ).
thf(zip_derived_cl1089,plain,
( ~ ( less_than @ sk__4 @ sk__3 )
<= ~ ( less_than @ sk__4 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl1084]) ).
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_cl96,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(zip_derived_cl59,plain,
! [X5: $i,X6: $i] :
( ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ )
| ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl67,plain,
( ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(ax38,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( strictly_less_than @ X @ Y )
=> ~ ( check_cpq @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( check_cpq @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X2 @ X3 ) ) @ X4 ) )
| ~ ( strictly_less_than @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ax38]) ).
thf(zip_derived_cl82,plain,
( ~ ( strictly_less_than @ sk__3 @ sk__4 )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl33]) ).
thf(zip_derived_cl99,plain,
( ( less_than @ sk__4 @ sk__3 )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl82]) ).
thf('0',plain,
( ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) )
| ( less_than @ sk__4 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1089,zip_derived_cl99]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( pair_in_list @ ( insert_slb @ X4 @ ( pair @ X3 @ X2 ) ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl65,plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl3190,plain,
( ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__5 @ sk__6 )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl65]) ).
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_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_cl11380,plain,
( ( ( sk__4 = sk__6 )
| ( pair_in_list @ sk_ @ sk__5 @ sk__6 ) )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3190,zip_derived_cl15]) ).
thf('1',plain,
( ( sk__4 = sk__6 )
| ( pair_in_list @ sk_ @ sk__5 @ sk__6 )
| ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl11380]) ).
thf(zip_derived_cl3190_001,plain,
( ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__5 @ sk__6 )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl65]) ).
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_cl11379,plain,
( ( ( sk__3 = sk__5 )
| ( pair_in_list @ sk_ @ sk__5 @ sk__6 ) )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3190,zip_derived_cl14]) ).
thf('2',plain,
( ( sk__3 = sk__5 )
| ( pair_in_list @ sk_ @ sk__5 @ sk__6 )
| ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl11379]) ).
thf(zip_derived_cl11382,plain,
( ( pair_in_list @ sk_ @ sk__5 @ sk__6 )
<= ( pair_in_list @ sk_ @ sk__5 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl11379]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_0 @ X2 @ X3 @ sk_ )
| ~ ( check_cpq @ ( triple @ X0 @ sk_ @ X4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl62,plain,
( ! [X2: $i,X3: $i] : ( zip_tseitin_0 @ X2 @ X3 @ sk_ )
<= ! [X2: $i,X3: $i] : ( zip_tseitin_0 @ X2 @ X3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ( less_than @ X2 @ X1 )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2790,plain,
( ! [X0: $i,X1: $i] :
( ~ ( pair_in_list @ sk_ @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) )
<= ! [X2: $i,X3: $i] : ( zip_tseitin_0 @ X2 @ X3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl50]) ).
thf(zip_derived_cl11385,plain,
( ( less_than @ sk__6 @ sk__5 )
<= ( ! [X2: $i,X3: $i] : ( zip_tseitin_0 @ X2 @ X3 @ sk_ )
& ( pair_in_list @ sk_ @ sk__5 @ sk__6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11382,zip_derived_cl2790]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl65_002,plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl3123,plain,
( ~ ( less_than @ sk__6 @ sk__5 )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl65]) ).
thf('3',plain,
( ~ ( pair_in_list @ sk_ @ sk__5 @ sk__6 )
| ~ ! [X2: $i,X3: $i] : ( zip_tseitin_0 @ X2 @ X3 @ sk_ )
| ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11385,zip_derived_cl3123]) ).
thf('4',plain,
( ! [X2: $i,X3: $i] : ( zip_tseitin_0 @ X2 @ X3 @ sk_ )
| ! [X0: $i,X4: $i] :
~ ( check_cpq @ ( triple @ X0 @ sk_ @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl67_003,plain,
( ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( check_cpq @ ( triple @ X0 @ ( insert_slb @ X1 @ ( pair @ X2 @ X3 ) ) @ X4 ) )
| ( check_cpq @ ( triple @ X0 @ X1 @ X4 ) )
| ~ ( less_than @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ax37]) ).
thf(zip_derived_cl1158,plain,
( ( ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) )
| ~ ( less_than @ sk__4 @ sk__3 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl32]) ).
thf(zip_derived_cl99_004,plain,
( ( less_than @ sk__4 @ sk__3 )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl82]) ).
thf(zip_derived_cl1161,plain,
( ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1158,zip_derived_cl99]) ).
thf(zip_derived_cl63,plain,
( ! [X0: $i,X4: $i] :
~ ( check_cpq @ ( triple @ X0 @ sk_ @ X4 ) )
<= ! [X0: $i,X4: $i] :
~ ( check_cpq @ ( triple @ X0 @ sk_ @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf('5',plain,
( ~ ! [X0: $i,X4: $i] :
~ ( check_cpq @ ( triple @ X0 @ sk_ @ X4 ) )
| ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1161,zip_derived_cl63]) ).
thf('6',plain,
( ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) )
| ~ ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) )
| ~ ( less_than @ sk__4 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl1084]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( check_cpq @ ( triple @ X0 @ sk_ @ X1 ) )
| ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf('7',plain,
( ! [X0: $i,X1: $i] : ( check_cpq @ ( triple @ X0 @ sk_ @ X1 ) )
| ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('8',plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
| ~ ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl66,plain,
( ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ )
<= ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
| ( less_than @ X4 @ X3 )
| ~ ( zip_tseitin_1 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2985,plain,
( ! [X0: $i,X1: $i] :
( ~ ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) )
<= ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl53]) ).
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_cl2990,plain,
( ! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ~ ( pair_in_list @ sk_ @ X1 @ X0 ) )
<= ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2985,zip_derived_cl16]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( pair_in_list @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl61,plain,
( ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl2938,plain,
( ( pair_in_list @ sk_ @ sk__7 @ sk__8 )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl61]) ).
thf(zip_derived_cl2994,plain,
( ( less_than @ sk__8 @ sk__7 )
<= ( ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ )
& ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2990,zip_derived_cl2938]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl61_005,plain,
( ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl83,plain,
( ~ ( less_than @ sk__8 @ sk__7 )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl61]) ).
thf('9',plain,
( ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ )
| ~ ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2994,zip_derived_cl83]) ).
thf(zip_derived_cl66_006,plain,
( ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ )
<= ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl65_007,plain,
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf('10',plain,
( ~ ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ )
| ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl65]) ).
thf(zip_derived_cl1088,plain,
( ~ ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) )
<= ~ ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1084]) ).
thf(zip_derived_cl60,plain,
( ! [X0: $i,X1: $i] : ( check_cpq @ ( triple @ X0 @ sk_ @ X1 ) )
<= ! [X0: $i,X1: $i] : ( check_cpq @ ( triple @ X0 @ sk_ @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('11',plain,
( ( check_cpq @ ( triple @ sk__1 @ sk_ @ sk__2 ) )
| ~ ! [X0: $i,X1: $i] : ( check_cpq @ ( triple @ X0 @ sk_ @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1088,zip_derived_cl60]) ).
thf(zip_derived_cl11468,plain,
( ( sk__4 = sk__6 )
<= ( sk__4 = sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl11380]) ).
thf(zip_derived_cl11383,plain,
( ( sk__3 = sk__5 )
<= ( sk__3 = sk__5 ) ),
inference(split,[status(esa)],[zip_derived_cl11379]) ).
thf(zip_derived_cl3123_008,plain,
( ~ ( less_than @ sk__6 @ sk__5 )
<= ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl65]) ).
thf(zip_derived_cl11387,plain,
( ~ ( less_than @ sk__6 @ sk__3 )
<= ( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
& ( sk__3 = sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11383,zip_derived_cl3123]) ).
thf(zip_derived_cl11488,plain,
( ~ ( less_than @ sk__4 @ sk__3 )
<= ( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ )
& ( sk__4 = sk__6 )
& ( sk__3 = sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11468,zip_derived_cl11387]) ).
thf(zip_derived_cl83_009,plain,
( ~ ( less_than @ sk__8 @ sk__7 )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl61]) ).
thf(zip_derived_cl1_010,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl85,plain,
( ( less_than @ sk__7 @ sk__8 )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl1]) ).
thf(transitivity,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( less_than @ U @ V )
& ( less_than @ V @ W ) )
=> ( less_than @ U @ W ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( less_than @ X1 @ X2 )
| ( less_than @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl89,plain,
( ! [X0: $i] :
( ~ ( less_than @ sk__8 @ X0 )
| ( less_than @ sk__7 @ X0 ) )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl0]) ).
thf(zip_derived_cl1_011,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl90,plain,
( ! [X0: $i] :
( ( less_than @ sk__7 @ X0 )
| ( less_than @ X0 @ sk__8 ) )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl1]) ).
thf(zip_derived_cl1_012,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl99_013,plain,
( ( less_than @ sk__4 @ sk__3 )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl82]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( less_than @ X1 @ X2 )
| ( less_than @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl100,plain,
( ! [X0: $i] :
( ~ ( less_than @ sk__3 @ X0 )
| ( less_than @ sk__4 @ X0 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl0]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( less_than @ X1 @ X2 )
| ( less_than @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl101,plain,
( ! [X0: $i,X1: $i] :
( ~ ( less_than @ sk__3 @ X0 )
| ~ ( less_than @ X0 @ X1 )
| ( less_than @ sk__4 @ X1 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl0]) ).
thf(zip_derived_cl102,plain,
( ! [X0: $i,X1: $i] :
( ( less_than @ X0 @ sk__3 )
| ~ ( less_than @ X0 @ X1 )
| ( less_than @ sk__4 @ X1 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl101]) ).
thf(zip_derived_cl117,plain,
( ! [X0: $i] :
( ( less_than @ sk__7 @ X0 )
| ( less_than @ X0 @ sk__3 )
| ( less_than @ sk__4 @ sk__8 ) )
<= ( ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ )
& ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl102]) ).
thf(zip_derived_cl156,plain,
( ! [X0: $i] :
( ( less_than @ sk__7 @ X0 )
| ( less_than @ X0 @ sk__3 ) )
<= ! [X0: $i] :
( ( less_than @ sk__7 @ X0 )
| ( less_than @ X0 @ sk__3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl85_016,plain,
( ( less_than @ sk__7 @ sk__8 )
<= ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl1]) ).
thf(zip_derived_cl102_017,plain,
( ! [X0: $i,X1: $i] :
( ( less_than @ X0 @ sk__3 )
| ~ ( less_than @ X0 @ X1 )
| ( less_than @ sk__4 @ X1 ) )
<= ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl101]) ).
thf(zip_derived_cl122,plain,
( ( ( less_than @ sk__7 @ sk__3 )
| ( less_than @ sk__4 @ sk__8 ) )
<= ( ~ ( zip_tseitin_0 @ sk__8 @ sk__7 @ sk_ )
& ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl102]) ).
thf(zip_derived_cl140,plain,
( ( less_than @ sk__4 @ sk__8 )
<= ( less_than @ sk__4 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl0_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( less_than @ X1 @ X2 )
| ( less_than @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity]) ).
thf(zip_derived_cl142,plain,
( ! [X0: $i] :
( ~ ( less_than @ sk__8 @ X0 )
| ( less_than @ sk__4 @ X0 ) )
<= ( less_than @ sk__4 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl0]) ).
thf(zip_derived_cl175,plain,
( ( ( less_than @ sk__7 @ sk__8 )
| ( less_than @ sk__4 @ sk__3 ) )
<= ( ( less_than @ sk__4 @ sk__8 )
& ! [X0: $i] :
( ( less_than @ sk__7 @ X0 )
| ( less_than @ X0 @ sk__3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl142]) ).
thf(zip_derived_cl183,plain,
( ( less_than @ sk__4 @ sk__3 )
<= ( less_than @ sk__4 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf('12',plain,
( ( sk__4 != sk__6 )
| ( sk__3 != sk__5 )
| ~ ( less_than @ sk__4 @ sk__3 )
| ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11488,zip_derived_cl183]) ).
thf(zip_derived_cl2985_019,plain,
( ! [X0: $i,X1: $i] :
( ~ ( pair_in_list @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) )
<= ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl53]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( pair_in_list @ ( insert_slb @ X0 @ ( pair @ X1 @ X2 ) ) @ X3 @ X4 )
| ( X1 != X3 )
| ( X2 != X4 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl2991,plain,
( ! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( sk__3 != X1 )
| ( sk__4 != X0 ) )
<= ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2985,zip_derived_cl17]) ).
thf(zip_derived_cl1089_020,plain,
( ~ ( less_than @ sk__4 @ sk__3 )
<= ~ ( less_than @ sk__4 @ sk__3 ) ),
inference(split,[status(esa)],[zip_derived_cl1084]) ).
thf(zip_derived_cl3035,plain,
( ( ( sk__4 != sk__4 )
| ( sk__3 != sk__3 ) )
<= ( ~ ( less_than @ sk__4 @ sk__3 )
& ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2991,zip_derived_cl1089]) ).
thf('13',plain,
( ~ ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ )
| ( less_than @ sk__4 @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3035]) ).
thf('14',plain,
( ! [X5: $i,X6: $i] : ( zip_tseitin_1 @ X5 @ X6 @ sk__4 @ sk__3 @ sk_ )
| ( check_cpq @ ( triple @ sk__1 @ ( insert_slb @ sk_ @ ( pair @ sk__3 @ sk__4 ) ) @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl15542,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV406+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fMiGId4mH7 true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 06:24:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.13/2.33 % Solved by fo/fo1_av.sh.
% 12.13/2.33 % done 1304 iterations in 1.536s
% 12.13/2.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.13/2.33 % SZS output start Refutation
% See solution above
% 12.13/2.33
% 12.13/2.33
% 12.13/2.33 % Terminating...
% 12.53/2.39 % Runner terminated.
% 12.53/2.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------