%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU339+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yqkmlArRMb true
% Computer : n006.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 04:54:17 PM UTC 2025
% Result : Theorem 0.57s 0.88s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 98 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 230 ( 32 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 924 ( 100 ~; 96 |; 12 &; 692 @)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 132 ( 0 ^; 132 !; 0 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(t25_orders_2,conjecture,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( related @ A @ B @ C )
& ( related @ A @ C @ B ) )
=> ( B = C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( related @ A @ B @ C )
& ( related @ A @ C @ B ) )
=> ( B = C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t25_orders_2]) ).
thf(zip_derived_cl51,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_u1_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( relation_of2_as_subset @ ( the_InternalRel @ A ) @ ( the_carrier @ A ) @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ( relation_of2_as_subset @ ( the_InternalRel @ X0 ) @ ( the_carrier @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_orders_2]) ).
thf(dt_m2_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation_of2_as_subset @ C @ A @ B )
=> ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) )
| ~ ( relation_of2_as_subset @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[dt_m2_relset_1]) ).
thf(zip_derived_cl279,plain,
! [X0: $i] :
( ~ ( rel_str @ X0 )
| ( element @ ( the_InternalRel @ X0 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ X0 ) @ ( the_carrier @ X0 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl24]) ).
thf(zip_derived_cl298,plain,
element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl279]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl411,plain,
! [X0: $i] :
( ( element @ X0 @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl60]) ).
thf(zip_derived_cl51_001,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
related @ sk__11 @ sk__12 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d9_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( related @ A @ B @ C )
<=> ( in @ ( ordered_pair @ B @ C ) @ ( the_InternalRel @ A ) ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( related @ X1 @ X0 @ X2 )
| ( in @ ( ordered_pair @ X0 @ X2 ) @ ( the_InternalRel @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
thf(zip_derived_cl284,plain,
( ~ ( rel_str @ sk__11 )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl12]) ).
thf(zip_derived_cl304,plain,
( ( sk__11 != sk__11 )
| ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl284]) ).
thf(zip_derived_cl478,plain,
( ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) )
| ( in @ ( ordered_pair @ sk__12 @ sk__13 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl304]) ).
thf(zip_derived_cl52,plain,
element @ sk__13 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl56,plain,
element @ sk__12 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl479,plain,
in @ ( unordered_pair @ ( singleton @ sk__12 ) @ ( unordered_pair @ sk__12 @ sk__13 ) ) @ ( the_InternalRel @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl52,zip_derived_cl329,zip_derived_cl56]) ).
thf(zip_derived_cl51_002,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
antisymmetric_relstr @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d6_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( ( antisymmetric_relstr @ A )
<=> ( is_antisymmetric_in @ ( the_InternalRel @ A ) @ ( the_carrier @ A ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( antisymmetric_relstr @ X0 )
| ( is_antisymmetric_in @ ( the_InternalRel @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d6_orders_2]) ).
thf(zip_derived_cl278,plain,
( ~ ( rel_str @ sk__11 )
| ( is_antisymmetric_in @ ( the_InternalRel @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl11]) ).
thf(zip_derived_cl297,plain,
( ( sk__11 != sk__11 )
| ( is_antisymmetric_in @ ( the_InternalRel @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl278]) ).
thf(cc1_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) )
=> ( relation @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[cc1_relset_1]) ).
thf(d4_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( is_antisymmetric_in @ A @ B )
<=> ! [C: $i,D: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B )
& ( in @ ( ordered_pair @ C @ D ) @ A )
& ( in @ ( ordered_pair @ D @ C ) @ A ) )
=> ( C = D ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( is_antisymmetric_in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ( X2 = X3 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X2 @ X1 ) ) )
| ( X4 = X5 )
| ~ ( in @ ( ordered_pair @ X5 @ X4 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X4 @ X5 ) @ X0 )
| ~ ( in @ X5 @ X3 )
| ~ ( in @ X4 @ X3 )
| ~ ( is_antisymmetric_in @ X0 @ X3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sk__11 != sk__11 )
| ~ ( in @ X2 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ X3 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( the_InternalRel @ sk__11 ) )
| ( X2 = X3 )
| ~ ( element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl297,zip_derived_cl310]) ).
thf(zip_derived_cl514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) )
| ( X2 = X3 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ X3 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ X2 @ ( the_carrier @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl312]) ).
thf(zip_derived_cl329_003,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl329_004,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) )
| ( X2 = X3 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X3 ) @ ( unordered_pair @ X3 @ X2 ) ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X3 ) ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( in @ X3 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ X2 @ ( the_carrier @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl329,zip_derived_cl329]) ).
thf(zip_derived_cl516,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__13 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ sk__12 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ sk__13 ) @ ( unordered_pair @ sk__13 @ sk__12 ) ) @ ( the_InternalRel @ sk__11 ) )
| ( sk__13 = sk__12 )
| ~ ( element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl515]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl51_006,plain,
rel_str @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
related @ sk__11 @ sk__13 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( related @ X1 @ X0 @ X2 )
| ( in @ ( ordered_pair @ X0 @ X2 ) @ ( the_InternalRel @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
thf(zip_derived_cl283,plain,
( ~ ( rel_str @ sk__11 )
| ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
| ( in @ ( ordered_pair @ sk__13 @ sk__12 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl12]) ).
thf(zip_derived_cl301,plain,
( ( sk__11 != sk__11 )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) )
| ( in @ ( ordered_pair @ sk__13 @ sk__12 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl283]) ).
thf(zip_derived_cl464,plain,
( ~ ( element @ sk__12 @ ( the_carrier @ sk__11 ) )
| ( in @ ( ordered_pair @ sk__13 @ sk__12 ) @ ( the_InternalRel @ sk__11 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl56_008,plain,
element @ sk__12 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl329_009,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl2_010,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl52_011,plain,
element @ sk__13 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl465,plain,
in @ ( unordered_pair @ ( singleton @ sk__13 ) @ ( unordered_pair @ sk__12 @ sk__13 ) ) @ ( the_InternalRel @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl56,zip_derived_cl329,zip_derived_cl2,zip_derived_cl52]) ).
thf(zip_derived_cl521,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__13 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ sk__12 @ ( the_carrier @ sk__11 ) )
| ( sk__13 = sk__12 )
| ~ ( element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl2,zip_derived_cl465]) ).
thf(zip_derived_cl53,plain,
sk__12 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl522,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ sk__13 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ sk__12 @ ( the_carrier @ sk__11 ) )
| ~ ( element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl521,zip_derived_cl53]) ).
thf(zip_derived_cl298_012,plain,
element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl279]) ).
thf(zip_derived_cl533,plain,
( ~ ( in @ sk__12 @ ( the_carrier @ sk__11 ) )
| ~ ( in @ sk__13 @ ( the_carrier @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl522,zip_derived_cl298]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl52_013,plain,
element @ sk__13 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl339,plain,
( ( empty @ ( the_carrier @ sk__11 ) )
| ( in @ sk__13 @ ( the_carrier @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl52]) ).
thf(zip_derived_cl538,plain,
( ~ ( in @ sk__12 @ ( the_carrier @ sk__11 ) )
| ( empty @ ( the_carrier @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl533,zip_derived_cl339]) ).
thf(zip_derived_cl57_014,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl56_015,plain,
element @ sk__12 @ ( the_carrier @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl338,plain,
( ( empty @ ( the_carrier @ sk__11 ) )
| ( in @ sk__12 @ ( the_carrier @ sk__11 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl56]) ).
thf(zip_derived_cl540,plain,
empty @ ( the_carrier @ sk__11 ),
inference(clc,[status(thm)],[zip_derived_cl538,zip_derived_cl338]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl541,plain,
( ( the_carrier @ sk__11 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl62]) ).
thf(zip_derived_cl541_016,plain,
( ( the_carrier @ sk__11 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl62]) ).
thf(zip_derived_cl548,plain,
! [X0: $i] :
( ( element @ X0 @ ( cartesian_product2 @ empty_set @ empty_set ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl411,zip_derived_cl541,zip_derived_cl541]) ).
thf(zip_derived_cl57_017,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl578,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( the_InternalRel @ sk__11 ) )
| ( empty @ ( cartesian_product2 @ empty_set @ empty_set ) )
| ( in @ X0 @ ( cartesian_product2 @ empty_set @ empty_set ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl57]) ).
thf(zip_derived_cl298_018,plain,
element @ ( the_InternalRel @ sk__11 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl279]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) )
& ( empty @ C ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl412,plain,
! [X0: $i] :
( ~ ( empty @ ( cartesian_product2 @ ( the_carrier @ sk__11 ) @ ( the_carrier @ sk__11 ) ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl61]) ).
thf(zip_derived_cl541_019,plain,
( ( the_carrier @ sk__11 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl62]) ).
thf(zip_derived_cl541_020,plain,
( ( the_carrier @ sk__11 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl62]) ).
thf(zip_derived_cl549,plain,
! [X0: $i] :
( ~ ( empty @ ( cartesian_product2 @ empty_set @ empty_set ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl412,zip_derived_cl541,zip_derived_cl541]) ).
thf(zip_derived_cl654,plain,
! [X0: $i] :
( ( in @ X0 @ ( cartesian_product2 @ empty_set @ empty_set ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__11 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl578,zip_derived_cl549]) ).
thf(t106_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl329_021,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X2 ) ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl329]) ).
thf(zip_derived_cl663,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ ( the_InternalRel @ sk__11 ) )
| ( in @ X1 @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl357]) ).
thf(zip_derived_cl479_022,plain,
in @ ( unordered_pair @ ( singleton @ sk__12 ) @ ( unordered_pair @ sk__12 @ sk__13 ) ) @ ( the_InternalRel @ sk__11 ),
inference(demod,[status(thm)],[zip_derived_cl478,zip_derived_cl52,zip_derived_cl329,zip_derived_cl56]) ).
thf(zip_derived_cl707,plain,
in @ sk__12 @ empty_set,
inference('sup+',[status(thm)],[zip_derived_cl663,zip_derived_cl479]) ).
thf(zip_derived_cl716,plain,
~ ( empty @ empty_set ),
inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl707]) ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl33,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl717,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl716,zip_derived_cl33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU339+1 : TPTP v9.2.0. Released v3.3.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yqkmlArRMb true
% 0.13/0.34 % Computer : n006.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 16:02:08 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
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.88 % Solved by fo/fo3_bce.sh.
% 0.57/0.88 % BCE start: 65
% 0.57/0.88 % BCE eliminated: 2
% 0.57/0.88 % PE start: 63
% 0.57/0.88 logic: eq
% 0.57/0.88 % PE eliminated: 9
% 0.57/0.88 % done 195 iterations in 0.119s
% 0.57/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.88 % SZS output start Refutation
% See solution above
% 0.57/0.88
% 0.57/0.88
% 0.57/0.88 % Terminating...
% 0.62/0.95 % Runner terminated.
% 0.62/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------