TSTP Solution File: SEU339+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU339+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MXXVbD6Fyf true
% Computer : n028.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 Aug 31 19:12:14 EDT 2023
% Result : Theorem 139.02s 20.53s
% Output : Refutation 139.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 27
% Syntax : Number of formulae : 106 ( 31 unt; 18 typ; 0 def)
% Number of atoms : 207 ( 27 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 664 ( 83 ~; 86 |; 8 &; 462 @)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(sk__403_type,type,
sk__403: $i ).
thf(sk__402_type,type,
sk__402: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__401_type,type,
sk__401: $i ).
thf(relation_of2_as_subset_type,type,
relation_of2_as_subset: $i > $i > $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
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_cl1595,plain,
element @ sk__403 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_subset_1,axiom,
! [A: $i,B: $i] :
( ( ( empty @ A )
=> ( ( element @ B @ A )
<=> ( empty @ B ) ) )
& ( ~ ( empty @ A )
=> ( ( element @ B @ A )
<=> ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl256,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl12876,plain,
( ( in @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl256]) ).
thf(zip_derived_cl1595_001,plain,
element @ sk__403 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( empty @ X0 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl12963,plain,
( ( empty @ sk__403 )
| ~ ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl258]) ).
thf(zip_derived_cl13256,plain,
( ( in @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( empty @ sk__403 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12876,zip_derived_cl12963]) ).
thf(zip_derived_cl1599,plain,
element @ sk__402 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl256_002,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl12875,plain,
( ( in @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1599,zip_derived_cl256]) ).
thf(zip_derived_cl12963_003,plain,
( ( empty @ sk__403 )
| ~ ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl258]) ).
thf(zip_derived_cl12991,plain,
( ( in @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( empty @ sk__403 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12875,zip_derived_cl12963]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl1774,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl13084,plain,
( ( in @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( sk__403 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12991,zip_derived_cl1774]) ).
thf(zip_derived_cl1594,plain,
rel_str @ sk__401,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1598,plain,
related @ sk__401 @ sk__402 @ sk__403,
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_cl456,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_cl9073,plain,
( ~ ( rel_str @ sk__401 )
| ~ ( element @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( in @ ( ordered_pair @ sk__402 @ sk__403 ) @ ( the_InternalRel @ sk__401 ) )
| ~ ( element @ sk__402 @ ( the_carrier @ sk__401 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1598,zip_derived_cl456]) ).
thf(zip_derived_cl9453,plain,
( ( sk__401 != sk__401 )
| ~ ( element @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( in @ ( ordered_pair @ sk__402 @ sk__403 ) @ ( the_InternalRel @ sk__401 ) )
| ~ ( element @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1594,zip_derived_cl9073]) ).
thf(zip_derived_cl12411,plain,
( ~ ( element @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( in @ ( ordered_pair @ sk__402 @ sk__403 ) @ ( the_InternalRel @ sk__401 ) )
| ~ ( element @ sk__402 @ ( the_carrier @ sk__401 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9453]) ).
thf(zip_derived_cl1595_004,plain,
element @ sk__403 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1599_005,plain,
element @ sk__402 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12412,plain,
in @ ( ordered_pair @ sk__402 @ sk__403 ) @ ( the_InternalRel @ sk__401 ),
inference(demod,[status(thm)],[zip_derived_cl12411,zip_derived_cl1595,zip_derived_cl1599]) ).
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_cl338,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_cl14277,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ X0 )
| ~ ( in @ sk__402 @ X0 )
| ~ ( in @ sk__403 @ X0 )
| ~ ( in @ ( ordered_pair @ sk__403 @ sk__402 ) @ ( the_InternalRel @ sk__401 ) )
| ( sk__402 = sk__403 )
| ~ ( relation @ ( the_InternalRel @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12412,zip_derived_cl338]) ).
thf(zip_derived_cl1594_006,plain,
rel_str @ sk__401,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1597,plain,
related @ sk__401 @ sk__403 @ sk__402,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl456_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_cl9072,plain,
( ~ ( rel_str @ sk__401 )
| ~ ( element @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( in @ ( ordered_pair @ sk__403 @ sk__402 ) @ ( the_InternalRel @ sk__401 ) )
| ~ ( element @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1597,zip_derived_cl456]) ).
thf(zip_derived_cl9450,plain,
( ( sk__401 != sk__401 )
| ~ ( element @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( in @ ( ordered_pair @ sk__403 @ sk__402 ) @ ( the_InternalRel @ sk__401 ) )
| ~ ( element @ sk__402 @ ( the_carrier @ sk__401 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1594,zip_derived_cl9072]) ).
thf(zip_derived_cl12350,plain,
( ~ ( element @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( in @ ( ordered_pair @ sk__403 @ sk__402 ) @ ( the_InternalRel @ sk__401 ) )
| ~ ( element @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9450]) ).
thf(zip_derived_cl1599_008,plain,
element @ sk__402 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1595_009,plain,
element @ sk__403 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12351,plain,
in @ ( ordered_pair @ sk__403 @ sk__402 ) @ ( the_InternalRel @ sk__401 ),
inference(demod,[status(thm)],[zip_derived_cl12350,zip_derived_cl1599,zip_derived_cl1595]) ).
thf(zip_derived_cl14298,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ X0 )
| ~ ( in @ sk__402 @ X0 )
| ~ ( in @ sk__403 @ X0 )
| ( sk__402 = sk__403 )
| ~ ( relation @ ( the_InternalRel @ sk__401 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14277,zip_derived_cl12351]) ).
thf(zip_derived_cl1596,plain,
sk__402 != sk__403,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14299,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ X0 )
| ~ ( in @ sk__402 @ X0 )
| ~ ( in @ sk__403 @ X0 )
| ~ ( relation @ ( the_InternalRel @ sk__401 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14298,zip_derived_cl1596]) ).
thf(zip_derived_cl1594_010,plain,
rel_str @ sk__401,
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_cl524,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(zip_derived_cl9444,plain,
relation_of2_as_subset @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ) @ ( the_carrier @ sk__401 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1594,zip_derived_cl524]) ).
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_cl520,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_cl17042,plain,
element @ ( the_InternalRel @ sk__401 ) @ ( powerset @ ( cartesian_product2 @ ( the_carrier @ sk__401 ) @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9444,zip_derived_cl520]) ).
thf(cc1_relset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( element @ C @ ( powerset @ ( cartesian_product2 @ A @ B ) ) )
=> ( relation @ C ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( cartesian_product2 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[cc1_relset_1]) ).
thf(zip_derived_cl71027,plain,
relation @ ( the_InternalRel @ sk__401 ),
inference('s_sup-',[status(thm)],[zip_derived_cl17042,zip_derived_cl43]) ).
thf(zip_derived_cl71061,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ X0 )
| ~ ( in @ sk__402 @ X0 )
| ~ ( in @ sk__403 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14299,zip_derived_cl71027]) ).
thf(zip_derived_cl71135,plain,
( ( sk__403 = empty_set )
| ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ) )
| ~ ( in @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13084,zip_derived_cl71061]) ).
thf(zip_derived_cl1594_011,plain,
rel_str @ sk__401,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1593,plain,
antisymmetric_relstr @ sk__401,
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_cl393,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_cl8914,plain,
( ~ ( rel_str @ sk__401 )
| ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1593,zip_derived_cl393]) ).
thf(zip_derived_cl9447,plain,
( ( sk__401 != sk__401 )
| ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1594,zip_derived_cl8914]) ).
thf(zip_derived_cl11695,plain,
is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ),
inference(simplify,[status(thm)],[zip_derived_cl9447]) ).
thf(zip_derived_cl71148,plain,
( ( sk__403 = empty_set )
| ~ ( in @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71135,zip_derived_cl11695]) ).
thf(zip_derived_cl1596_012,plain,
sk__402 != sk__403,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12875_013,plain,
( ( in @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1599,zip_derived_cl256]) ).
thf(zip_derived_cl1599_014,plain,
element @ sk__402 @ ( the_carrier @ sk__401 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258_015,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( empty @ X0 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl12962,plain,
( ( empty @ sk__402 )
| ~ ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1599,zip_derived_cl258]) ).
thf(zip_derived_cl12990,plain,
( ( in @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( empty @ sk__402 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12875,zip_derived_cl12962]) ).
thf(zip_derived_cl1774_016,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl13034,plain,
( ( in @ sk__402 @ ( the_carrier @ sk__401 ) )
| ( sk__402 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12990,zip_derived_cl1774]) ).
thf(zip_derived_cl71061_017,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ X0 )
| ~ ( in @ sk__402 @ X0 )
| ~ ( in @ sk__403 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14299,zip_derived_cl71027]) ).
thf(zip_derived_cl71131,plain,
( ( sk__402 = empty_set )
| ~ ( is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ) )
| ~ ( in @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13034,zip_derived_cl71061]) ).
thf(zip_derived_cl11695_018,plain,
is_antisymmetric_in @ ( the_InternalRel @ sk__401 ) @ ( the_carrier @ sk__401 ),
inference(simplify,[status(thm)],[zip_derived_cl9447]) ).
thf(zip_derived_cl71144,plain,
( ( sk__402 = empty_set )
| ~ ( in @ sk__403 @ ( the_carrier @ sk__401 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl71131,zip_derived_cl11695]) ).
thf(zip_derived_cl12876_019,plain,
( ( in @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl256]) ).
thf(zip_derived_cl12962_020,plain,
( ( empty @ sk__402 )
| ~ ( empty @ ( the_carrier @ sk__401 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1599,zip_derived_cl258]) ).
thf(zip_derived_cl13255,plain,
( ( in @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( empty @ sk__402 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12876,zip_derived_cl12962]) ).
thf(zip_derived_cl1774_021,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl13420,plain,
( ( in @ sk__403 @ ( the_carrier @ sk__401 ) )
| ( sk__402 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13255,zip_derived_cl1774]) ).
thf(zip_derived_cl71156,plain,
sk__402 = empty_set,
inference(clc,[status(thm)],[zip_derived_cl71144,zip_derived_cl13420]) ).
thf(zip_derived_cl71157,plain,
empty_set != sk__403,
inference(demod,[status(thm)],[zip_derived_cl1596,zip_derived_cl71156]) ).
thf(zip_derived_cl72693,plain,
~ ( in @ sk__403 @ ( the_carrier @ sk__401 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl71148,zip_derived_cl71157]) ).
thf(zip_derived_cl72704,plain,
empty @ sk__403,
inference(demod,[status(thm)],[zip_derived_cl13256,zip_derived_cl72693]) ).
thf(zip_derived_cl1774_022,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl72741,plain,
sk__403 = empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl72704,zip_derived_cl1774]) ).
thf(zip_derived_cl71157_023,plain,
empty_set != sk__403,
inference(demod,[status(thm)],[zip_derived_cl1596,zip_derived_cl71156]) ).
thf(zip_derived_cl72749,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl72741,zip_derived_cl71157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU339+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MXXVbD6Fyf true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 19:23:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 139.02/20.53 % Solved by fo/fo6_bce.sh.
% 139.02/20.53 % BCE start: 1823
% 139.02/20.53 % BCE eliminated: 26
% 139.02/20.53 % PE start: 1797
% 139.02/20.53 logic: eq
% 139.02/20.53 % PE eliminated: 147
% 139.02/20.53 % done 5737 iterations in 19.774s
% 139.02/20.53 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 139.02/20.53 % SZS output start Refutation
% See solution above
% 139.02/20.53
% 139.02/20.53
% 139.02/20.53 % Terminating...
% 139.36/20.63 % Runner terminated.
% 139.36/20.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------