%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET685+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CCBBMfEOga true
% Computer : n025.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 04:52:41 PM UTC 2025
% Result : Theorem 0.58s 0.93s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 96 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 263 ( 5 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1072 ( 125 ~; 110 |; 16 &; 780 @)
% ( 6 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 9 con; 0-4 aty)
% Number of variables : 158 ( 0 ^; 155 !; 3 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(image4_type,type,
image4: $i > $i > $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(image_type,type,
image: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ binary_relation_type )
=> ( ( member @ C @ ( image @ D @ B ) )
<=> ? [E: $i] :
( ( member @ E @ B )
& ( member @ ( ordered_pair @ E @ C ) @ D )
& ( ilf_type @ E @ set_type ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ ( image @ X1 @ X2 ) )
| ( member @ ( sk_ @ X1 @ X0 @ X2 ) @ X2 )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(p27,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl51,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl571,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ ( image @ X1 @ X2 ) )
| ( member @ ( sk_ @ X1 @ X0 @ X2 ) @ X2 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X0 @ ( image @ X1 @ X2 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X1 @ X0 @ X2 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl51_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ ( image @ X1 @ X2 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X1 @ X0 @ X2 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl51,zip_derived_cl51]) ).
thf(p25,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( image4 @ B @ C @ D @ E )
= ( image @ D @ E ) ) ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ( image4 @ X3 @ X0 @ X2 @ X1 )
= ( image @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl51_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( image4 @ X3 @ X0 @ X2 @ X1 )
= ( image @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(prove_relset_1_52,conjecture,
! [B: $i] :
( ( ~ ( empty @ B )
& ( ilf_type @ B @ set_type ) )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ! [D: $i] :
( ( ~ ( empty @ D )
& ( ilf_type @ D @ set_type ) )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ D @ B ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( member_type @ B ) )
=> ( ( member @ F @ ( image4 @ D @ B @ E @ C ) )
<=> ? [G: $i] :
( ( member @ G @ C )
& ( member @ ( ordered_pair @ G @ F ) @ E )
& ( ilf_type @ G @ ( member_type @ D ) ) ) ) ) ) ) ) ) ).
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] :
( ( ~ ( empty @ D )
& ( ilf_type @ D @ set_type ) )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ D @ B ) )
=> ! [F: $i] :
( ( ilf_type @ F @ ( member_type @ B ) )
=> ( ( member @ F @ ( image4 @ D @ B @ E @ C ) )
<=> ? [G: $i] :
( ( member @ G @ C )
& ( member @ ( ordered_pair @ G @ F ) @ E )
& ( ilf_type @ G @ ( member_type @ D ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_52]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) )
| ~ ( member @ ( ordered_pair @ X0 @ sk__15 ) @ sk__14 )
| ~ ( member @ X0 @ sk__12 )
| ~ ( member @ sk__15 @ ( image4 @ sk__13 @ sk__11 @ sk__14 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl983,plain,
! [X0: $i] :
( ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ) )
| ~ ( member @ X0 @ sk__12 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__15 ) @ sk__14 )
| ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl982,zip_derived_cl57]) ).
thf(zip_derived_cl61,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl990,plain,
! [X0: $i] :
( ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( member @ X0 @ sk__12 )
| ~ ( member @ ( ordered_pair @ X0 @ sk__15 ) @ sk__14 )
| ~ ( ilf_type @ X0 @ ( member_type @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl983,zip_derived_cl61]) ).
thf(zip_derived_cl1035,plain,
! [X0: $i] :
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ X0 ) )
| ~ ( ilf_type @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ ( member_type @ sk__13 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl579,zip_derived_cl990]) ).
thf(p24,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_cl48,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)],[p24]) ).
thf(p15,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_cl23,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)],[p15]) ).
thf(zip_derived_cl522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl48,zip_derived_cl23]) ).
thf(zip_derived_cl883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(simplify,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl51_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ X1 @ binary_relation_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl883,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(p5,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_cl9,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)],[p5]) ).
thf(zip_derived_cl51_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl780,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_cl9,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl885,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ilf_type @ X2 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl884,zip_derived_cl780]) ).
thf(zip_derived_cl61_012,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl898,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl61]) ).
thf(zip_derived_cl1036,plain,
! [X0: $i] :
( ~ ( member @ sk__15 @ ( image @ sk__14 @ X0 ) )
| ~ ( ilf_type @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ ( member_type @ sk__13 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1035,zip_derived_cl898]) ).
thf(zip_derived_cl61_013,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ 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 @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ! [F: $i] :
( ( ilf_type @ F @ ( relation_type @ B @ C ) )
=> ( ( member @ ( ordered_pair @ D @ E ) @ F )
=> ( ( member @ D @ B )
& ( member @ E @ C ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X2 @ X3 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
| ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl51_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( member @ X2 @ X3 )
| ~ ( member @ ( ordered_pair @ X2 @ X1 ) @ X4 )
| ~ ( ilf_type @ X4 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl652,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ sk__14 )
| ( member @ X1 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl651]) ).
thf(zip_derived_cl579_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ ( image @ X1 @ X2 ) )
| ( member @ ( ordered_pair @ ( sk_ @ X1 @ X0 @ X2 ) @ X0 ) @ X1 )
| ~ ( ilf_type @ X1 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl653,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ sk__14 @ X0 @ X1 ) @ sk__13 )
| ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ X0 @ ( image @ sk__14 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl652,zip_derived_cl579]) ).
thf(zip_derived_cl898_019,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl61]) ).
thf(zip_derived_cl901,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ sk__14 @ X0 @ X1 ) @ sk__13 )
| ~ ( member @ X0 @ ( image @ sk__14 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl898]) ).
thf(p7,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_cl12,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)],[p7]) ).
thf(zip_derived_cl51_020,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_021,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl635,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl51,zip_derived_cl51]) ).
thf(p9,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p9]) ).
thf(zip_derived_cl51_022,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_023,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl573,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl636,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl635,zip_derived_cl573]) ).
thf(zip_derived_cl945,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( image @ sk__14 @ X0 ) )
| ( ilf_type @ ( sk_ @ sk__14 @ X1 @ X0 ) @ ( member_type @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl901,zip_derived_cl636]) ).
thf(zip_derived_cl1211,plain,
! [X0: $i] :
( ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( member @ ( sk_ @ sk__14 @ sk__15 @ X0 ) @ sk__12 )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1036,zip_derived_cl945]) ).
thf(zip_derived_cl1215,plain,
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl571,zip_derived_cl1211]) ).
thf(zip_derived_cl898_024,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl61]) ).
thf(zip_derived_cl1217,plain,
( ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1215,zip_derived_cl898]) ).
thf(zip_derived_cl1218,plain,
~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1217]) ).
thf(zip_derived_cl982_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( image4 @ X3 @ X0 @ X2 @ X1 )
= ( image @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl59,plain,
( ( member @ ( ordered_pair @ sk__16 @ sk__15 ) @ sk__14 )
| ( member @ sk__15 @ ( image4 @ sk__13 @ sk__11 @ sk__14 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1063,plain,
( ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ) )
| ( member @ ( ordered_pair @ sk__16 @ sk__15 ) @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl59]) ).
thf(zip_derived_cl61_026,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1064,plain,
( ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ( member @ ( ordered_pair @ sk__16 @ sk__15 ) @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1063,zip_derived_cl61]) ).
thf(zip_derived_cl1218_027,plain,
~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1217]) ).
thf(zip_derived_cl1340,plain,
member @ ( ordered_pair @ sk__16 @ sk__15 ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl1064,zip_derived_cl1218]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X2 )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X3 )
| ~ ( ilf_type @ X1 @ set_type )
| ( member @ X0 @ ( image @ X3 @ X2 ) )
| ~ ( ilf_type @ X3 @ binary_relation_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl51_028,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_029,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl51_030,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p27]) ).
thf(zip_derived_cl620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X1 @ X2 )
| ~ ( member @ ( ordered_pair @ X1 @ X0 ) @ X3 )
| ( member @ X0 @ ( image @ X3 @ X2 ) )
| ~ ( ilf_type @ X3 @ binary_relation_type ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl1345,plain,
! [X0: $i] :
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ( member @ sk__15 @ ( image @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1340,zip_derived_cl620]) ).
thf(zip_derived_cl898_031,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl61]) ).
thf(zip_derived_cl1353,plain,
! [X0: $i] :
( ( member @ sk__15 @ ( image @ sk__14 @ X0 ) )
| ~ ( member @ sk__16 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1345,zip_derived_cl898]) ).
thf(zip_derived_cl1385,plain,
~ ( member @ sk__16 @ sk__12 ),
inference('sup+',[status(thm)],[zip_derived_cl1218,zip_derived_cl1353]) ).
thf(zip_derived_cl1218_032,plain,
~ ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1217]) ).
thf(zip_derived_cl982_033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( image4 @ X3 @ X0 @ X2 @ X1 )
= ( image @ X2 @ X1 ) )
| ~ ( ilf_type @ X2 @ ( relation_type @ X3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl51,zip_derived_cl51,zip_derived_cl51]) ).
thf(zip_derived_cl58,plain,
( ( member @ sk__16 @ sk__12 )
| ( member @ sk__15 @ ( image4 @ sk__13 @ sk__11 @ sk__14 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl984,plain,
( ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ) )
| ( member @ sk__16 @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl58]) ).
thf(zip_derived_cl61_034,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl991,plain,
( ( member @ sk__15 @ ( image @ sk__14 @ sk__12 ) )
| ( member @ sk__16 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl984,zip_derived_cl61]) ).
thf(zip_derived_cl1223,plain,
member @ sk__16 @ sk__12,
inference('sup+',[status(thm)],[zip_derived_cl1218,zip_derived_cl991]) ).
thf(zip_derived_cl1390,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1385,zip_derived_cl1223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET685+3 : TPTP v9.2.0. Released v2.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CCBBMfEOga true
% 0.13/0.34 % Computer : n025.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 12:56:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.93 % Solved by fo/fo3_bce.sh.
% 0.58/0.93 % BCE start: 64
% 0.58/0.93 % BCE eliminated: 0
% 0.58/0.93 % PE start: 64
% 0.58/0.93 logic: eq
% 0.58/0.93 % PE eliminated: -13
% 0.58/0.93 % done 271 iterations in 0.156s
% 0.58/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.93 % SZS output start Refutation
% See solution above
% 0.58/0.93
% 0.58/0.93
% 0.58/0.93 % Terminating...
% 1.94/1.05 % Runner terminated.
% 1.94/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------