TSTP Solution File: SEU244+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU244+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W4dQay7qoe true
% Computer : n009.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 19:11:34 EDT 2023
% Result : Theorem 12.09s 2.18s
% Output : Refutation 12.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of formulae : 124 ( 28 unt; 15 typ; 0 def)
% Number of atoms : 311 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 870 ( 158 ~; 176 |; 8 &; 510 @)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(connected_type,type,
connected: $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(is_reflexive_in_type,type,
is_reflexive_in: $i > $i > $o ).
thf(well_ordering_type,type,
well_ordering: $i > $o ).
thf(sk__117_type,type,
sk__117: $i ).
thf(is_transitive_in_type,type,
is_transitive_in: $i > $i > $o ).
thf(is_well_founded_in_type,type,
is_well_founded_in: $i > $i > $o ).
thf(well_founded_relation_type,type,
well_founded_relation: $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(is_connected_in_type,type,
is_connected_in: $i > $i > $o ).
thf(well_orders_type,type,
well_orders: $i > $i > $o ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(t5_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( well_founded_relation @ A )
<=> ( is_well_founded_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl594,plain,
! [X0: $i] :
( ~ ( well_founded_relation @ X0 )
| ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t5_wellord1]) ).
thf(d14_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( connected @ A )
<=> ( is_connected_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( connected @ X0 )
| ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_2]) ).
thf(d12_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ( is_antisymmetric_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ~ ( antisymmetric @ X0 )
| ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(d16_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( transitive @ A )
<=> ( is_transitive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ~ ( transitive @ X0 )
| ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
thf(d9_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ( is_reflexive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(d5_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( well_orders @ A @ B )
<=> ( ( is_reflexive_in @ A @ B )
& ( is_transitive_in @ A @ B )
& ( is_antisymmetric_in @ A @ B )
& ( is_connected_in @ A @ B )
& ( is_well_founded_in @ A @ B ) ) ) ) ).
thf(zip_derived_cl210,plain,
! [X0: $i,X1: $i] :
( ~ ( is_reflexive_in @ X0 @ X1 )
| ~ ( is_transitive_in @ X0 @ X1 )
| ~ ( is_antisymmetric_in @ X0 @ X1 )
| ~ ( is_connected_in @ X0 @ X1 )
| ~ ( is_well_founded_in @ X0 @ X1 )
| ( well_orders @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(d4_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( well_ordering @ A )
<=> ( ( reflexive @ A )
& ( transitive @ A )
& ( antisymmetric @ A )
& ( connected @ A )
& ( well_founded_relation @ A ) ) ) ) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ~ ( transitive @ X0 )
| ~ ( antisymmetric @ X0 )
| ~ ( connected @ X0 )
| ~ ( well_founded_relation @ X0 )
| ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(t8_wellord1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ( well_orders @ A @ ( relation_field @ A ) )
<=> ( well_ordering @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ( well_orders @ A @ ( relation_field @ A ) )
<=> ( well_ordering @ A ) ) ),
inference('cnf.neg',[status(esa)],[t8_wellord1]) ).
thf(zip_derived_cl635,plain,
( ~ ( well_ordering @ sk__117 )
| ~ ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3896,plain,
( ~ ( relation @ sk__117 )
| ~ ( well_founded_relation @ sk__117 )
| ~ ( connected @ sk__117 )
| ~ ( antisymmetric @ sk__117 )
| ~ ( transitive @ sk__117 )
| ~ ( reflexive @ sk__117 )
| ~ ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl635]) ).
thf(zip_derived_cl4135,plain,
( ~ ( relation @ sk__117 )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( reflexive @ sk__117 )
| ~ ( transitive @ sk__117 )
| ~ ( antisymmetric @ sk__117 )
| ~ ( connected @ sk__117 )
| ~ ( well_founded_relation @ sk__117 )
| ~ ( relation @ sk__117 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl210,zip_derived_cl3896]) ).
thf(zip_derived_cl6363,plain,
( ~ ( well_founded_relation @ sk__117 )
| ~ ( connected @ sk__117 )
| ~ ( antisymmetric @ sk__117 )
| ~ ( transitive @ sk__117 )
| ~ ( reflexive @ sk__117 )
| ~ ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4135]) ).
thf(zip_derived_cl636,plain,
( ( well_ordering @ sk__117 )
| ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl3898,plain,
( ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( connected @ sk__117 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl636,zip_derived_cl188]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_connected_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl4145,plain,
( ( connected @ sk__117 )
| ~ ( relation @ sk__117 )
| ~ ( relation @ sk__117 )
| ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3898,zip_derived_cl212]) ).
thf(zip_derived_cl4972,plain,
( ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( connected @ sk__117 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4145]) ).
thf(zip_derived_cl634,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4973,plain,
( ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ( connected @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl4972,zip_derived_cl634]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_2]) ).
thf(zip_derived_cl5056,plain,
( ( connected @ sk__117 )
| ( connected @ sk__117 )
| ~ ( relation @ sk__117 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4973,zip_derived_cl66]) ).
thf(zip_derived_cl634_001,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5058,plain,
( ( connected @ sk__117 )
| ( connected @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl5056,zip_derived_cl634]) ).
thf(zip_derived_cl5059,plain,
connected @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl5058]) ).
thf(zip_derived_cl636_002,plain,
( ( well_ordering @ sk__117 )
| ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl3899,plain,
( ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( antisymmetric @ sk__117 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl636,zip_derived_cl189]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_antisymmetric_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl4154,plain,
( ( antisymmetric @ sk__117 )
| ~ ( relation @ sk__117 )
| ~ ( relation @ sk__117 )
| ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3899,zip_derived_cl213]) ).
thf(zip_derived_cl5116,plain,
( ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( antisymmetric @ sk__117 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4154]) ).
thf(zip_derived_cl634_003,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5117,plain,
( ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ( antisymmetric @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl5116,zip_derived_cl634]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(zip_derived_cl5118,plain,
( ( antisymmetric @ sk__117 )
| ( antisymmetric @ sk__117 )
| ~ ( relation @ sk__117 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5117,zip_derived_cl46]) ).
thf(zip_derived_cl634_004,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5119,plain,
( ( antisymmetric @ sk__117 )
| ( antisymmetric @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl5118,zip_derived_cl634]) ).
thf(zip_derived_cl5120,plain,
antisymmetric @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl5119]) ).
thf(zip_derived_cl636_005,plain,
( ( well_ordering @ sk__117 )
| ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl3900,plain,
( ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( transitive @ sk__117 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl636,zip_derived_cl190]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_transitive_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl4163,plain,
( ( transitive @ sk__117 )
| ~ ( relation @ sk__117 )
| ~ ( relation @ sk__117 )
| ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3900,zip_derived_cl214]) ).
thf(zip_derived_cl5692,plain,
( ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( transitive @ sk__117 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4163]) ).
thf(zip_derived_cl634_006,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5693,plain,
( ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ( transitive @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl5692,zip_derived_cl634]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
thf(zip_derived_cl5694,plain,
( ( transitive @ sk__117 )
| ( transitive @ sk__117 )
| ~ ( relation @ sk__117 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5693,zip_derived_cl68]) ).
thf(zip_derived_cl634_007,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5695,plain,
( ( transitive @ sk__117 )
| ( transitive @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl5694,zip_derived_cl634]) ).
thf(zip_derived_cl5696,plain,
transitive @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl5695]) ).
thf(zip_derived_cl634_008,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6364,plain,
( ~ ( well_founded_relation @ sk__117 )
| ~ ( reflexive @ sk__117 )
| ~ ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6363,zip_derived_cl5059,zip_derived_cl5120,zip_derived_cl5696,zip_derived_cl634]) ).
thf(zip_derived_cl636_009,plain,
( ( well_ordering @ sk__117 )
| ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl191,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl3901,plain,
( ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( reflexive @ sk__117 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl636,zip_derived_cl191]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_reflexive_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl4172,plain,
( ( reflexive @ sk__117 )
| ~ ( relation @ sk__117 )
| ~ ( relation @ sk__117 )
| ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3901,zip_derived_cl215]) ).
thf(zip_derived_cl6117,plain,
( ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( reflexive @ sk__117 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4172]) ).
thf(zip_derived_cl634_010,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6118,plain,
( ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ( reflexive @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl6117,zip_derived_cl634]) ).
thf(zip_derived_cl258,plain,
! [X0: $i] :
( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(zip_derived_cl8190,plain,
( ( reflexive @ sk__117 )
| ( reflexive @ sk__117 )
| ~ ( relation @ sk__117 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6118,zip_derived_cl258]) ).
thf(zip_derived_cl634_011,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8196,plain,
( ( reflexive @ sk__117 )
| ( reflexive @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl8190,zip_derived_cl634]) ).
thf(zip_derived_cl8197,plain,
reflexive @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl8196]) ).
thf(zip_derived_cl8200,plain,
( ~ ( well_founded_relation @ sk__117 )
| ~ ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6364,zip_derived_cl8197]) ).
thf(zip_derived_cl636_012,plain,
( ( well_ordering @ sk__117 )
| ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( well_founded_relation @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl3897,plain,
( ( well_orders @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( well_founded_relation @ sk__117 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl636,zip_derived_cl187]) ).
thf(zip_derived_cl211,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_well_founded_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl4136,plain,
( ( well_founded_relation @ sk__117 )
| ~ ( relation @ sk__117 )
| ~ ( relation @ sk__117 )
| ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3897,zip_derived_cl211]) ).
thf(zip_derived_cl4869,plain,
( ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( relation @ sk__117 )
| ( well_founded_relation @ sk__117 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4136]) ).
thf(zip_derived_cl634_013,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4870,plain,
( ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ( well_founded_relation @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl4869,zip_derived_cl634]) ).
thf(zip_derived_cl593,plain,
! [X0: $i] :
( ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ( well_founded_relation @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t5_wellord1]) ).
thf(zip_derived_cl8437,plain,
( ( well_founded_relation @ sk__117 )
| ( well_founded_relation @ sk__117 )
| ~ ( relation @ sk__117 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4870,zip_derived_cl593]) ).
thf(zip_derived_cl634_014,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8442,plain,
( ( well_founded_relation @ sk__117 )
| ( well_founded_relation @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl8437,zip_derived_cl634]) ).
thf(zip_derived_cl8443,plain,
well_founded_relation @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl8442]) ).
thf(zip_derived_cl8446,plain,
( ~ ( is_reflexive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8200,zip_derived_cl8443]) ).
thf(zip_derived_cl8453,plain,
( ~ ( relation @ sk__117 )
| ~ ( reflexive @ sk__117 )
| ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl8446]) ).
thf(zip_derived_cl634_015,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8197_016,plain,
reflexive @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl8196]) ).
thf(zip_derived_cl8457,plain,
( ~ ( is_transitive_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8453,zip_derived_cl634,zip_derived_cl8197]) ).
thf(zip_derived_cl8493,plain,
( ~ ( relation @ sk__117 )
| ~ ( transitive @ sk__117 )
| ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl8457]) ).
thf(zip_derived_cl634_017,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5696_018,plain,
transitive @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl5695]) ).
thf(zip_derived_cl8497,plain,
( ~ ( is_antisymmetric_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8493,zip_derived_cl634,zip_derived_cl5696]) ).
thf(zip_derived_cl8523,plain,
( ~ ( relation @ sk__117 )
| ~ ( antisymmetric @ sk__117 )
| ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl8497]) ).
thf(zip_derived_cl634_019,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5120_020,plain,
antisymmetric @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl5119]) ).
thf(zip_derived_cl8527,plain,
( ~ ( is_connected_in @ sk__117 @ ( relation_field @ sk__117 ) )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8523,zip_derived_cl634,zip_derived_cl5120]) ).
thf(zip_derived_cl8532,plain,
( ~ ( relation @ sk__117 )
| ~ ( connected @ sk__117 )
| ~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl8527]) ).
thf(zip_derived_cl634_021,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5059_022,plain,
connected @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl5058]) ).
thf(zip_derived_cl8536,plain,
~ ( is_well_founded_in @ sk__117 @ ( relation_field @ sk__117 ) ),
inference(demod,[status(thm)],[zip_derived_cl8532,zip_derived_cl634,zip_derived_cl5059]) ).
thf(zip_derived_cl10473,plain,
( ~ ( relation @ sk__117 )
| ~ ( well_founded_relation @ sk__117 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl8536]) ).
thf(zip_derived_cl634_023,plain,
relation @ sk__117,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8443_024,plain,
well_founded_relation @ sk__117,
inference(simplify,[status(thm)],[zip_derived_cl8442]) ).
thf(zip_derived_cl10485,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10473,zip_derived_cl634,zip_derived_cl8443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU244+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W4dQay7qoe true
% 0.06/0.26 % Computer : n009.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Wed Aug 23 19:56:36 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Running portfolio for 300 s
% 0.06/0.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Number of cores: 8
% 0.06/0.26 % Python version: Python 3.6.8
% 0.06/0.26 % Running in FO mode
% 0.11/0.45 % Total configuration time : 435
% 0.11/0.45 % Estimated wc time : 1092
% 0.11/0.45 % Estimated cpu time (7 cpus) : 156.0
% 0.11/0.50 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.11/0.52 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.11/0.52 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.11/0.55 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.11/0.55 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.11/0.55 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.11/0.55 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.11/0.59 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 12.09/2.18 % Solved by fo/fo6_bce.sh.
% 12.09/2.18 % BCE start: 650
% 12.09/2.18 % BCE eliminated: 4
% 12.09/2.18 % PE start: 646
% 12.09/2.18 logic: eq
% 12.09/2.18 % PE eliminated: -4
% 12.09/2.18 % done 1215 iterations in 1.660s
% 12.09/2.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.09/2.18 % SZS output start Refutation
% See solution above
% 12.09/2.18
% 12.09/2.18
% 12.09/2.18 % Terminating...
% 12.60/2.25 % Runner terminated.
% 12.60/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------