%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU269+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.Hzw8SWMQNq true
% Computer : n019.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 04:54:04 PM UTC 2025
% Result : Theorem 89.93s 13.53s
% Output : Refutation 89.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 99 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 215 ( 44 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1064 ( 107 ~; 99 |; 7 &; 841 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 104 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(is_transitive_in_type,type,
is_transitive_in: $i > $i > $o ).
thf(inclusion_relation_type,type,
inclusion_relation: $i > $i ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
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_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ) @ X1 )
| ( is_transitive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(d16_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( transitive @ A )
<=> ( is_transitive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
thf(t3_wellord2,conjecture,
! [A: $i] : ( transitive @ ( inclusion_relation @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( transitive @ ( inclusion_relation @ A ) ),
inference('cnf.neg',[status(esa)],[t3_wellord2]) ).
thf(zip_derived_cl90,plain,
~ ( transitive @ ( inclusion_relation @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( is_transitive_in @ ( inclusion_relation @ sk__15 ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl90]) ).
thf(zip_derived_cl398,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) ) @ ( inclusion_relation @ sk__15 ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl390]) ).
thf(zip_derived_cl507,plain,
( ~ ( in @ ( ordered_pair @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) ) @ ( inclusion_relation @ sk__15 ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl398]) ).
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_cl21,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_cl21]) ).
thf(dt_k1_wellord2,axiom,
! [A: $i] : ( relation @ ( inclusion_relation @ A ) ) ).
thf(zip_derived_cl33,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_cl33]) ).
thf(zip_derived_cl449_001,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl22,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_cl470,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl33_002,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl508,plain,
~ ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ) @ ( inclusion_relation @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl449,zip_derived_cl449,zip_derived_cl470,zip_derived_cl33]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__4 @ X0 @ X1 ) @ X0 )
| ( is_transitive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(zip_derived_cl390_003,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( is_transitive_in @ ( inclusion_relation @ sk__15 ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl90]) ).
thf(zip_derived_cl402,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( in @ ( sk__4 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl390]) ).
thf(zip_derived_cl509,plain,
( ( in @ ( sk__4 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl402]) ).
thf(zip_derived_cl449_004,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl449_005,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl33_006,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl510,plain,
in @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl509,zip_derived_cl449,zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( is_transitive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(zip_derived_cl390_007,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( is_transitive_in @ ( inclusion_relation @ sk__15 ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl90]) ).
thf(zip_derived_cl406,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( in @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl390]) ).
thf(zip_derived_cl526,plain,
( ( in @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl406]) ).
thf(zip_derived_cl449_008,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl449_009,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl33_010,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl527,plain,
in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl449,zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__3 @ X0 @ X1 ) ) @ X1 )
| ( is_transitive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(zip_derived_cl390_011,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( is_transitive_in @ ( inclusion_relation @ sk__15 ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl90]) ).
thf(zip_derived_cl408,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) ) @ ( inclusion_relation @ sk__15 ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl390]) ).
thf(zip_derived_cl610,plain,
( ( in @ ( ordered_pair @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) ) @ ( inclusion_relation @ sk__15 ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl408]) ).
thf(zip_derived_cl449_012,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl449_013,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl470_014,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl33_015,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl611,plain,
in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ) @ ( inclusion_relation @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl449,zip_derived_cl449,zip_derived_cl470,zip_derived_cl33]) ).
thf(zip_derived_cl19,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_cl470_016,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl491,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_cl19,zip_derived_cl470]) ).
thf(zip_derived_cl614,plain,
! [X0: $i] :
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ~ ( in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl491]) ).
thf(zip_derived_cl33_017,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl621,plain,
! [X0: $i] :
( ( subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ~ ( in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl33]) ).
thf(zip_derived_cl627,plain,
( ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ sk__15 ) )
| ~ ( in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15 )
| ( subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl621]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( is_transitive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(zip_derived_cl390_018,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( is_transitive_in @ ( inclusion_relation @ sk__15 ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl90]) ).
thf(zip_derived_cl404,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( in @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl390]) ).
thf(zip_derived_cl521,plain,
( ( in @ ( sk__2 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl404]) ).
thf(zip_derived_cl449_019,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl449_020,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl33_021,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl522,plain,
in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl521,zip_derived_cl449,zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl628,plain,
( ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ sk__15 ) )
| ( subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl627,zip_derived_cl522]) ).
thf(zip_derived_cl629,plain,
subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl628]) ).
thf(t1_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X2 )
| ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
thf(zip_derived_cl642,plain,
! [X0: $i] :
( ( subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ~ ( subset @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl86]) ).
thf(zip_derived_cl510_022,plain,
in @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl509,zip_derived_cl449,zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ ( sk__3 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ) @ X1 )
| ( is_transitive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d8_relat_2]) ).
thf(zip_derived_cl390_023,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ~ ( is_transitive_in @ ( inclusion_relation @ sk__15 ) @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl90]) ).
thf(zip_derived_cl400,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( in @ ( ordered_pair @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) ) @ ( inclusion_relation @ sk__15 ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl25,zip_derived_cl390]) ).
thf(zip_derived_cl567,plain,
( ( in @ ( ordered_pair @ ( sk__3 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ ( relation_field @ ( inclusion_relation @ sk__15 ) ) @ ( inclusion_relation @ sk__15 ) ) ) @ ( inclusion_relation @ sk__15 ) )
| ~ ( relation @ ( inclusion_relation @ sk__15 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl400]) ).
thf(zip_derived_cl449_024,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl449_025,plain,
! [X0: $i] :
( ( relation_field @ ( inclusion_relation @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl33]) ).
thf(zip_derived_cl470_026,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl33_027,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl568,plain,
in @ ( unordered_pair @ ( singleton @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) @ ( unordered_pair @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ) @ ( inclusion_relation @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl449,zip_derived_cl449,zip_derived_cl470,zip_derived_cl33]) ).
thf(zip_derived_cl491_028,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_cl19,zip_derived_cl470]) ).
thf(zip_derived_cl571,plain,
! [X0: $i] :
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( subset @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( in @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ~ ( in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl491]) ).
thf(zip_derived_cl33_029,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl577,plain,
! [X0: $i] :
( ( subset @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) )
| ~ ( in @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ~ ( in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X0 )
| ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl571,zip_derived_cl33]) ).
thf(zip_derived_cl595,plain,
( ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ sk__15 ) )
| ~ ( in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15 )
| ( subset @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl577]) ).
thf(zip_derived_cl527_030,plain,
in @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl526,zip_derived_cl449,zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl596,plain,
( ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ sk__15 ) )
| ( subset @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl595,zip_derived_cl527]) ).
thf(zip_derived_cl597,plain,
subset @ ( sk__3 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ),
inference(simplify,[status(thm)],[zip_derived_cl596]) ).
thf(zip_derived_cl645,plain,
subset @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ),
inference('sup+',[status(thm)],[zip_derived_cl642,zip_derived_cl597]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( in @ ( ordered_pair @ X2 @ X3 ) @ X1 )
| ~ ( subset @ X2 @ X3 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_wellord2]) ).
thf(zip_derived_cl470_031,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl11]) ).
thf(zip_derived_cl502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( inclusion_relation @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X3 @ X0 )
| ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X3 ) ) @ X1 )
| ~ ( subset @ X2 @ X3 )
| ~ ( relation @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl470]) ).
thf(zip_derived_cl672,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ) @ X0 )
| ~ ( in @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X1 )
| ~ ( in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ X1 )
| ( X0
!= ( inclusion_relation @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl502]) ).
thf(zip_derived_cl2408,plain,
! [X0: $i] :
( ( X0
!= ( inclusion_relation @ sk__15 ) )
| ~ ( in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ) @ X0 )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl672]) ).
thf(zip_derived_cl522_032,plain,
in @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl521,zip_derived_cl449,zip_derived_cl449,zip_derived_cl33]) ).
thf(zip_derived_cl2412,plain,
! [X0: $i] :
( ( X0
!= ( inclusion_relation @ sk__15 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) @ ( unordered_pair @ ( sk__2 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) @ ( sk__4 @ sk__15 @ ( inclusion_relation @ sk__15 ) ) ) ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2408,zip_derived_cl522]) ).
thf(zip_derived_cl42410,plain,
( ~ ( relation @ ( inclusion_relation @ sk__15 ) )
| ( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ sk__15 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl508,zip_derived_cl2412]) ).
thf(zip_derived_cl33_033,plain,
! [X0: $i] : ( relation @ ( inclusion_relation @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
thf(zip_derived_cl42445,plain,
( ( inclusion_relation @ sk__15 )
!= ( inclusion_relation @ sk__15 ) ),
inference(demod,[status(thm)],[zip_derived_cl42410,zip_derived_cl33]) ).
thf(zip_derived_cl42446,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl42445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU269+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Hzw8SWMQNq true
% 0.14/0.35 % Computer : n019.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 16:12:38 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
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 89.93/13.53 % Solved by fo/fo3_bce.sh.
% 89.93/13.53 % BCE start: 96
% 89.93/13.53 % BCE eliminated: 6
% 89.93/13.53 % PE start: 90
% 89.93/13.53 logic: eq
% 89.93/13.53 % PE eliminated: 16
% 89.93/13.53 % done 5736 iterations in 12.774s
% 89.93/13.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 89.93/13.53 % SZS output start Refutation
% See solution above
% 89.93/13.54
% 89.93/13.54
% 89.93/13.54 % Terminating...
% 89.93/13.61 % Runner terminated.
% 89.93/13.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------