TSTP Solution File: SEU271+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU271+1 : 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.nSq69Gjl5u true
% Computer : n003.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 19:11:44 EDT 2023
% Result : Theorem 1.30s 0.93s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 96 ( 42 unt; 13 typ; 0 def)
% Number of atoms : 177 ( 45 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 831 ( 88 ~; 78 |; 6 &; 649 @)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 87 ( 0 ^; 87 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(inclusion_relation_type,type,
inclusion_relation: $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
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_cl28,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(d12_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ( is_antisymmetric_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(t5_wellord2,conjecture,
! [A: $i] : ( antisymmetric @ ( inclusion_relation @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( antisymmetric @ ( inclusion_relation @ A ) ),
inference('cnf.neg',[status(esa)],[t5_wellord2]) ).
thf(zip_derived_cl93,plain,
~ ( antisymmetric @ ( inclusion_relation @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl395,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ~ ( is_antisymmetric_in @ ( inclusion_relation @ sk__14 ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl93]) ).
thf(zip_derived_cl409,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ( in @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl395]) ).
thf(zip_derived_cl519,plain,
( ( in @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl409]) ).
thf(d1_wellord2,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( B
= ( inclusion_relation @ A ) )
<=> ( ( ( relation_field @ B )
= A )
& ! [C: $i,D: $i] :
( ( ( in @ C @ A )
& ( in @ D @ A ) )
=> ( ( in @ ( ordered_pair @ C @ D ) @ B )
<=> ( subset @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ( ( relation_field @ X1 )
= X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl448,plain,
! [X0: $i] :
( ~ ( relation @ ( inclusion_relation @ X0 ) )
| ( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl24]) ).
thf(dt_k1_wellord2,axiom,
! [A: $i] : ( relation @ ( inclusion_relation @ A ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl449,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl449_001,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl35_002,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl520,plain,
in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl519,zip_derived_cl449,zip_derived_cl449,zip_derived_cl35]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__3 @ X0 @ X1 ) @ ( sk__2 @ X0 @ X1 ) ) @ X1 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl395_003,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ~ ( is_antisymmetric_in @ ( inclusion_relation @ sk__14 ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl93]) ).
thf(zip_derived_cl405,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) ) @ ( inclusion_relation @ sk__14 ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl395]) ).
thf(zip_derived_cl565,plain,
( ( in @ ( ordered_pair @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) ) @ ( inclusion_relation @ sk__14 ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl449_004,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl449_005,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl31,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_cl11,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl11]) ).
thf(zip_derived_cl11_006,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl35_007,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl566,plain,
in @ ( unordered_pair @ ( singleton @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) ) @ ( inclusion_relation @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl449,zip_derived_cl449,zip_derived_cl468,zip_derived_cl11,zip_derived_cl35]) ).
thf(zip_derived_cl11_008,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( subset @ X2 @ X3 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl468_009,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl11]) ).
thf(zip_derived_cl504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( subset @ X2 @ X3 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X3 ) ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl468]) ).
thf(zip_derived_cl505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X1 @ X0 ) ) @ X2 )
| ~ ( relation @ X2 )
| ( subset @ X0 @ X1 )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X3 )
| ( X2
!= ( inclusion_relation @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl504]) ).
thf(zip_derived_cl999,plain,
! [X0: $i] :
( ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ( subset @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl505]) ).
thf(zip_derived_cl35_010,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl1002,plain,
! [X0: $i] :
( ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ( subset @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl999,zip_derived_cl35]) ).
thf(zip_derived_cl520_011,plain,
in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl519,zip_derived_cl449,zip_derived_cl449,zip_derived_cl35]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__3 @ X0 @ X1 ) ) @ X1 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl395_012,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ~ ( is_antisymmetric_in @ ( inclusion_relation @ sk__14 ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl93]) ).
thf(zip_derived_cl407,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) ) @ ( inclusion_relation @ sk__14 ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl395]) ).
thf(zip_derived_cl576,plain,
( ( in @ ( ordered_pair @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) ) @ ( inclusion_relation @ sk__14 ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl407]) ).
thf(zip_derived_cl449_013,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl449_014,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl468_015,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl11]) ).
thf(zip_derived_cl35_016,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl577,plain,
in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) ) @ ( inclusion_relation @ sk__14 ),
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl449,zip_derived_cl449,zip_derived_cl468,zip_derived_cl35]) ).
thf(zip_derived_cl504_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( subset @ X2 @ X3 )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X3 ) ) @ X1 )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl468]) ).
thf(zip_derived_cl580,plain,
! [X0: $i] :
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ( subset @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl504]) ).
thf(zip_derived_cl35_018,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl587,plain,
! [X0: $i] :
( ( subset @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl580,zip_derived_cl35]) ).
thf(zip_derived_cl614,plain,
( ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ sk__14 ) )
| ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ sk__14 )
| ( subset @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl587]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl395_019,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ~ ( is_antisymmetric_in @ ( inclusion_relation @ sk__14 ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl93]) ).
thf(zip_derived_cl411,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ( in @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl395]) ).
thf(zip_derived_cl541,plain,
( ( in @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl411]) ).
thf(zip_derived_cl449_020,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl449_021,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl35_022,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl542,plain,
in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl541,zip_derived_cl449,zip_derived_cl449,zip_derived_cl35]) ).
thf(zip_derived_cl615,plain,
( ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ sk__14 ) )
| ( subset @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl542]) ).
thf(zip_derived_cl616,plain,
subset @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl615]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl617,plain,
( ~ ( subset @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) )
| ( ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) )
= ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( ( sk__2 @ X0 @ X1 )
!= ( sk__3 @ X0 @ X1 ) )
| ( is_antisymmetric_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_2]) ).
thf(zip_derived_cl395_023,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ~ ( is_antisymmetric_in @ ( inclusion_relation @ sk__14 ) @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl93]) ).
thf(zip_derived_cl403,plain,
( ~ ( relation @ ( inclusion_relation @ sk__14 ) )
| ( ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) )
!= ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl395]) ).
thf(zip_derived_cl502,plain,
( ( ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) )
!= ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__14 ) ) @ ( inclusion_relation @ sk__14 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__14 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl403]) ).
thf(zip_derived_cl449_024,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl449_025,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl35]) ).
thf(zip_derived_cl35_026,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl503,plain,
( ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) )
!= ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl449,zip_derived_cl449,zip_derived_cl35]) ).
thf(zip_derived_cl619,plain,
~ ( subset @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl617,zip_derived_cl503]) ).
thf(zip_derived_cl1008,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ~ ( in @ ( sk__3 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ X0 )
| ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1002,zip_derived_cl619]) ).
thf(zip_derived_cl1014,plain,
( ( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ sk__14 ) )
| ~ ( in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl1008]) ).
thf(zip_derived_cl542_027,plain,
in @ ( sk__2 @ sk__14 @ ( inclusion_relation @ sk__14 ) ) @ sk__14,
inference(demod,[status(thm)],[zip_derived_cl541,zip_derived_cl449,zip_derived_cl449,zip_derived_cl35]) ).
thf(zip_derived_cl1015,plain,
( ( inclusion_relation @ sk__14 )
!= ( inclusion_relation @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1014,zip_derived_cl542]) ).
thf(zip_derived_cl1016,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU271+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nSq69Gjl5u true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 17:02:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.93 % Solved by fo/fo3_bce.sh.
% 1.30/0.93 % BCE start: 97
% 1.30/0.93 % BCE eliminated: 6
% 1.30/0.93 % PE start: 91
% 1.30/0.93 logic: eq
% 1.30/0.93 % PE eliminated: 17
% 1.30/0.93 % done 274 iterations in 0.158s
% 1.30/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.93 % SZS output start Refutation
% See solution above
% 1.30/0.93
% 1.30/0.93
% 1.30/0.94 % Terminating...
% 1.50/1.02 % Runner terminated.
% 1.60/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------