%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU340+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.e8ecSElC38 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 04:54:17 PM UTC 2025
% Result : Theorem 4.35s 1.43s
% Output : Refutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 97 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 244 ( 16 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1142 ( 117 ~; 109 |; 13 &; 878 @)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 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 : 145 ( 0 ^; 145 !; 0 ?; 145 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(is_transitive_in_type,type,
is_transitive_in: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(transitive_relstr_type,type,
transitive_relstr: $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(sk__14_type,type,
sk__14: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(t26_orders_2,conjecture,
! [A: $i] :
( ( ( transitive_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( ( related @ A @ B @ C )
& ( related @ A @ C @ D ) )
=> ( related @ A @ B @ D ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( transitive_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( ( related @ A @ B @ C )
& ( related @ A @ C @ D ) )
=> ( related @ A @ B @ D ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t26_orders_2]) ).
thf(zip_derived_cl52,plain,
rel_str @ sk__12,
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_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( the_InternalRel @ X1 ) )
| ( related @ X1 @ X0 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
thf(zip_derived_cl56,plain,
~ ( related @ sk__12 @ sk__13 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
( ~ ( rel_str @ sk__12 )
| ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ sk__13 @ sk__15 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl56]) ).
thf(zip_derived_cl329,plain,
( ( sk__12 != sk__12 )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ sk__13 @ sk__15 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl301]) ).
thf(zip_derived_cl428,plain,
( ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ sk__13 @ sk__15 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl329]) ).
thf(zip_derived_cl57,plain,
element @ sk__15 @ ( the_carrier @ sk__12 ),
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_cl5,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_cl364,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl58,plain,
element @ sk__13 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
~ ( in @ ( unordered_pair @ ( singleton @ sk__13 ) @ ( unordered_pair @ sk__13 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl57,zip_derived_cl364,zip_derived_cl58]) ).
thf(zip_derived_cl52_001,plain,
rel_str @ sk__12,
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_cl26,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_cl25,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_cl297,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_cl26,zip_derived_cl25]) ).
thf(zip_derived_cl326,plain,
element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl297]) ).
thf(zip_derived_cl52_002,plain,
rel_str @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
related @ sk__12 @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,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_cl306,plain,
( ~ ( rel_str @ sk__12 )
| ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__14 @ sk__15 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl13]) ).
thf(zip_derived_cl335,plain,
( ( sk__12 != sk__12 )
| ~ ( element @ sk__14 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__14 @ sk__15 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl306]) ).
thf(zip_derived_cl540,plain,
( ~ ( element @ sk__15 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__14 @ sk__15 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl57_003,plain,
element @ sk__15 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364_004,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl53,plain,
element @ sk__14 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl541,plain,
in @ ( unordered_pair @ ( singleton @ sk__14 ) @ ( unordered_pair @ sk__14 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl57,zip_derived_cl364,zip_derived_cl53]) ).
thf(zip_derived_cl52_005,plain,
rel_str @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
transitive_relstr @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( ( transitive_relstr @ A )
<=> ( is_transitive_in @ ( the_InternalRel @ A ) @ ( the_carrier @ A ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( transitive_relstr @ X0 )
| ( is_transitive_in @ ( the_InternalRel @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d5_orders_2]) ).
thf(zip_derived_cl296,plain,
( ~ ( rel_str @ sk__12 )
| ( is_transitive_in @ ( the_InternalRel @ sk__12 ) @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl4]) ).
thf(zip_derived_cl325,plain,
( ( sk__12 != sk__12 )
| ( is_transitive_in @ ( the_InternalRel @ sk__12 ) @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl296]) ).
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(d8_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( is_transitive_in @ A @ B )
<=> ! [C: $i,D: $i,E: $i] :
( ( ( in @ C @ B )
& ( in @ D @ B )
& ( in @ E @ B )
& ( in @ ( ordered_pair @ C @ D ) @ A )
& ( in @ ( ordered_pair @ D @ E ) @ A ) )
=> ( in @ ( ordered_pair @ C @ E ) @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( is_transitive_in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 )
| ~ ( in @ X4 @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ( in @ ( ordered_pair @ X2 @ X4 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(zip_derived_cl342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X2 @ X1 ) ) )
| ( in @ ( ordered_pair @ X5 @ X6 ) @ X0 )
| ~ ( in @ ( ordered_pair @ X4 @ X6 ) @ X0 )
| ~ ( in @ X6 @ X3 )
| ~ ( in @ X5 @ X3 )
| ~ ( in @ X4 @ X3 )
| ~ ( in @ ( ordered_pair @ X5 @ X4 ) @ X0 )
| ~ ( is_transitive_in @ X0 @ X3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sk__12 != sk__12 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ X4 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X3 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X2 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ X4 @ X2 ) @ ( the_InternalRel @ sk__12 ) )
| ( in @ ( ordered_pair @ X3 @ X2 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl325,zip_derived_cl342]) ).
thf(zip_derived_cl582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) )
| ( in @ ( ordered_pair @ X3 @ X2 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ X4 @ X2 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ X2 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X3 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X4 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ ( the_InternalRel @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl344]) ).
thf(zip_derived_cl364_006,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl364_007,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl364_008,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ X1 @ X0 ) ) )
| ( in @ ( unordered_pair @ ( singleton @ X3 ) @ ( unordered_pair @ X3 @ X2 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X4 ) @ ( unordered_pair @ X4 @ X2 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ X2 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X3 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X4 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X3 ) @ ( unordered_pair @ X3 @ X4 ) ) @ ( the_InternalRel @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl582,zip_derived_cl364,zip_derived_cl364,zip_derived_cl364]) ).
thf(zip_derived_cl585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ sk__14 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ X0 @ ( the_carrier @ sk__12 ) )
| ~ ( in @ sk__15 @ ( the_carrier @ sk__12 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ X2 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl583]) ).
thf(zip_derived_cl326_009,plain,
element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl297]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl62,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_cl458,plain,
! [X0: $i] :
( ( element @ X0 @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl62]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl500,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) )
| ( empty @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) )
| ( in @ X0 @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl59]) ).
thf(zip_derived_cl326_010,plain,
element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl297]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) )
& ( empty @ C ) ) ).
thf(zip_derived_cl63,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_cl459,plain,
! [X0: $i] :
( ~ ( empty @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl63]) ).
thf(zip_derived_cl823,plain,
! [X0: $i] :
( ( in @ X0 @ ( cartesian_product2 @ ( the_carrier @ sk__12 ) @ ( the_carrier @ sk__12 ) ) )
| ~ ( in @ X0 @ ( the_InternalRel @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl500,zip_derived_cl459]) ).
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_cl47,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_cl364_011,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl406,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_cl47,zip_derived_cl364]) ).
thf(zip_derived_cl834,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ ( the_InternalRel @ sk__12 ) )
| ( in @ X1 @ ( the_carrier @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl406]) ).
thf(zip_derived_cl541_012,plain,
in @ ( unordered_pair @ ( singleton @ sk__14 ) @ ( unordered_pair @ sk__14 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl57,zip_derived_cl364,zip_derived_cl53]) ).
thf(zip_derived_cl860,plain,
in @ sk__14 @ ( the_carrier @ sk__12 ),
inference('sup+',[status(thm)],[zip_derived_cl834,zip_derived_cl541]) ).
thf(zip_derived_cl59_013,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl57_014,plain,
element @ sk__15 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl375,plain,
( ( empty @ ( the_carrier @ sk__12 ) )
| ( in @ sk__15 @ ( the_carrier @ sk__12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl57]) ).
thf(zip_derived_cl834_015,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ ( the_InternalRel @ sk__12 ) )
| ( in @ X1 @ ( the_carrier @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl406]) ).
thf(zip_derived_cl52_016,plain,
rel_str @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
related @ sk__12 @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_017,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_cl302,plain,
( ~ ( rel_str @ sk__12 )
| ~ ( element @ sk__14 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl13]) ).
thf(zip_derived_cl332,plain,
( ( sk__12 != sk__12 )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__14 @ ( the_carrier @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl302]) ).
thf(zip_derived_cl516,plain,
( ~ ( element @ sk__14 @ ( the_carrier @ sk__12 ) )
| ( in @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ sk__13 @ ( the_carrier @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl332]) ).
thf(zip_derived_cl53_018,plain,
element @ sk__14 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364_019,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl58_020,plain,
element @ sk__13 @ ( the_carrier @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl517,plain,
in @ ( unordered_pair @ ( singleton @ sk__13 ) @ ( unordered_pair @ sk__13 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl53,zip_derived_cl364,zip_derived_cl58]) ).
thf(zip_derived_cl859,plain,
in @ sk__13 @ ( the_carrier @ sk__12 ),
inference('sup+',[status(thm)],[zip_derived_cl834,zip_derived_cl517]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl866,plain,
~ ( empty @ ( the_carrier @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl859,zip_derived_cl65]) ).
thf(zip_derived_cl869,plain,
in @ sk__15 @ ( the_carrier @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl375,zip_derived_cl866]) ).
thf(zip_derived_cl1219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ X0 @ ( the_carrier @ sk__12 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ X2 @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl585,zip_derived_cl860,zip_derived_cl869]) ).
thf(zip_derived_cl834_021,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ ( the_InternalRel @ sk__12 ) )
| ( in @ X1 @ ( the_carrier @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl406]) ).
thf(zip_derived_cl1220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ ( the_InternalRel @ sk__12 ) @ ( powerset @ ( cartesian_product2 @ X2 @ X1 ) ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1219,zip_derived_cl834]) ).
thf(zip_derived_cl1225,plain,
! [X0: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ sk__15 ) ) @ ( the_InternalRel @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl1220]) ).
thf(zip_derived_cl1268,plain,
~ ( in @ ( unordered_pair @ ( singleton @ sk__13 ) @ ( unordered_pair @ sk__13 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl1225]) ).
thf(zip_derived_cl517_022,plain,
in @ ( unordered_pair @ ( singleton @ sk__13 ) @ ( unordered_pair @ sk__13 @ sk__14 ) ) @ ( the_InternalRel @ sk__12 ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl53,zip_derived_cl364,zip_derived_cl58]) ).
thf(zip_derived_cl1276,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1268,zip_derived_cl517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU340+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e8ecSElC38 true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:09:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.58/0.68 % Total configuration time : 435
% 0.58/0.68 % Estimated wc time : 1092
% 0.58/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 4.35/1.43 % Solved by fo/fo3_bce.sh.
% 4.35/1.43 % BCE start: 67
% 4.35/1.43 % BCE eliminated: 2
% 4.35/1.43 % PE start: 65
% 4.35/1.43 logic: eq
% 4.35/1.43 % PE eliminated: 6
% 4.35/1.43 % done 395 iterations in 0.539s
% 4.35/1.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.35/1.43 % SZS output start Refutation
% See solution above
% 4.35/1.43
% 4.35/1.43
% 4.35/1.43 % Terminating...
% 4.83/1.58 % Runner terminated.
% 4.83/1.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------