%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET682+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yh0k4JMQQb true
% Computer : n020.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 04:52:40 PM UTC 2025
% Result : Theorem 0.62s 0.97s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 227 ( 7 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 831 ( 87 ~; 76 |; 11 &; 611 @)
% ( 5 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 151 ( 0 ^; 148 !; 3 ?; 151 :)
% Comments :
%------------------------------------------------------------------------------
thf(range_of_type,type,
range_of: $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(p22,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( range @ B @ C @ D )
= ( range_of @ D ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p22]) ).
thf(p24,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl40,zip_derived_cl40]) ).
thf(p20,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( domain @ B @ C @ D )
= ( domain_of @ D ) ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl40_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( domain @ X2 @ X0 @ X1 )
= ( domain_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl40,zip_derived_cl40]) ).
thf(prove_relset_1_49,conjecture,
! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ ( member_type @ B ) )
=> ( ( member @ E @ ( domain @ B @ C @ D ) )
=> ? [F: $i] :
( ( member @ F @ ( range @ B @ C @ D ) )
& ( ilf_type @ F @ ( member_type @ C ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ ( member_type @ B ) )
=> ( ( member @ E @ ( domain @ B @ C @ D ) )
=> ? [F: $i] :
( ( member @ F @ ( range @ B @ C @ D ) )
& ( ilf_type @ F @ ( member_type @ C ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_49]) ).
thf(zip_derived_cl45,plain,
member @ sk__13 @ ( domain @ sk__10 @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl530,plain,
( ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ) )
| ( member @ sk__13 @ ( domain_of @ sk__12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl529,zip_derived_cl45]) ).
thf(zip_derived_cl43,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532,plain,
member @ sk__13 @ ( domain_of @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl530,zip_derived_cl43]) ).
thf(zip_derived_cl43_004,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
& ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl40_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl40,zip_derived_cl40]) ).
thf(p18,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( relation_like @ D ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl40_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl451]) ).
thf(zip_derived_cl456,plain,
relation_like @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl452]) ).
thf(p10,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ilf_type @ B @ binary_relation_type )
<=> ( ( relation_like @ B )
& ( ilf_type @ B @ set_type ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ~ ( relation_like @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(zip_derived_cl428,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl40_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl40]) ).
thf(zip_derived_cl457,plain,
ilf_type @ sk__12 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl429]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ binary_relation_type )
=> ( ( member @ B @ ( domain_of @ C ) )
=> ? [D: $i] :
( ( member @ D @ ( range_of @ C ) )
& ( ilf_type @ D @ set_type ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( member @ ( sk_ @ X0 ) @ ( range_of @ X0 ) )
| ~ ( member @ X1 @ ( domain_of @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl40_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl400,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ binary_relation_type )
| ( member @ ( sk_ @ X0 ) @ ( range_of @ X0 ) )
| ~ ( member @ X1 @ ( domain_of @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl40]) ).
thf(zip_derived_cl463,plain,
! [X0: $i] :
( ( member @ ( sk_ @ sk__12 ) @ ( range_of @ sk__12 ) )
| ~ ( member @ X0 @ ( domain_of @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl400]) ).
thf(zip_derived_cl575,plain,
member @ ( sk_ @ sk__12 ) @ ( range_of @ sk__12 ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl463]) ).
thf(zip_derived_cl43_011,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl549_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( range @ X2 @ X0 @ X1 )
= ( range_of @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl40,zip_derived_cl40]) ).
thf(p23,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ilf_type @ ( range @ B @ C @ D ) @ ( subset_type @ C ) ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( range @ X1 @ X0 @ X2 ) @ ( subset_type @ X0 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p23]) ).
thf(zip_derived_cl40_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( range @ X1 @ X0 @ X2 ) @ ( subset_type @ X0 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl565,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ ( relation_type @ X2 @ X1 ) )
| ( ilf_type @ ( range_of @ X0 ) @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X0 @ ( relation_type @ X2 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl549,zip_derived_cl562]) ).
thf(zip_derived_cl566,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ ( range_of @ X0 ) @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X0 @ ( relation_type @ X2 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl565]) ).
thf(zip_derived_cl608,plain,
ilf_type @ ( range_of @ sk__12 ) @ ( subset_type @ sk__11 ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl566]) ).
thf(p12,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( subset_type @ B ) )
<=> ( ilf_type @ C @ ( member_type @ ( power_set @ B ) ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(zip_derived_cl40_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl449,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl40,zip_derived_cl40]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ( ( ilf_type @ B @ ( member_type @ C ) )
<=> ( member @ B @ C ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl40_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl450,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ( empty @ ( power_set @ X0 ) )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl423]) ).
thf(p15,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p15]) ).
thf(zip_derived_cl40_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl399,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl40]) ).
thf(zip_derived_cl639,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl450,zip_derived_cl399]) ).
thf(p14,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ B @ ( power_set @ C ) )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p14]) ).
thf(zip_derived_cl40_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl40,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl470]) ).
thf(zip_derived_cl654,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range_of @ sk__12 ) )
| ( member @ X0 @ sk__11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl608,zip_derived_cl643]) ).
thf(zip_derived_cl667,plain,
member @ ( sk_ @ sk__12 ) @ sk__11,
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl654]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl40_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_024,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl416,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl40,zip_derived_cl40]) ).
thf(p6,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl40_025,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl40_026,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p24]) ).
thf(zip_derived_cl408,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl417,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl416,zip_derived_cl408]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( range @ sk__10 @ sk__11 @ sk__12 ) )
| ~ ( ilf_type @ X0 @ ( member_type @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl418,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__11 )
| ~ ( member @ X0 @ ( range @ sk__10 @ sk__11 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl44]) ).
thf(zip_derived_cl690,plain,
~ ( member @ ( sk_ @ sk__12 ) @ ( range @ sk__10 @ sk__11 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl418]) ).
thf(zip_derived_cl696,plain,
( ~ ( ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ) )
| ~ ( member @ ( sk_ @ sk__12 ) @ ( range_of @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl549,zip_derived_cl690]) ).
thf(zip_derived_cl43_027,plain,
ilf_type @ sk__12 @ ( relation_type @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl575_028,plain,
member @ ( sk_ @ sk__12 ) @ ( range_of @ sk__12 ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl463]) ).
thf(zip_derived_cl697,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl696,zip_derived_cl43,zip_derived_cl575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET682+3 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yh0k4JMQQb true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:20:23 EDT 2025
% 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
% 0.13/0.35 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.97 % Solved by fo/fo6_bce.sh.
% 0.62/0.97 % BCE start: 49
% 0.62/0.97 % BCE eliminated: 0
% 0.62/0.97 % PE start: 49
% 0.62/0.97 logic: eq
% 0.62/0.97 % PE eliminated: 0
% 0.62/0.97 % done 158 iterations in 0.145s
% 0.62/0.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.97 % SZS output start Refutation
% See solution above
% 0.62/0.97
% 0.62/0.97
% 0.62/0.97 % Terminating...
% 0.63/1.02 % Runner terminated.
% 0.63/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------