%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU239+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.mfvpEbsyPA 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 Oct 2 04:53:58 PM UTC 2025
% Result : Theorem 0.57s 0.84s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 74 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 181 ( 15 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 840 ( 90 ~; 96 |; 0 &; 643 @)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 ^; 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(is_reflexive_in_type,type,
is_reflexive_in: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(l1_wellord1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ! [B: $i] :
( ( in @ B @ ( relation_field @ A ) )
=> ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ! [B: $i] :
( ( in @ B @ ( relation_field @ A ) )
=> ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[l1_wellord1]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ( sk__2 != sk__2 )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl31]) ).
thf(zip_derived_cl263,plain,
! [X0: $i] :
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl188]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl10,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_cl5,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl264,plain,
! [X0: $i] :
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl234]) ).
thf(d1_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( is_reflexive_in @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ B )
=> ( in @ ( ordered_pair @ C @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) ) @ X1 )
| ( is_reflexive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(d9_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ( is_reflexive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(zip_derived_cl31_001,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl181,plain,
( ~ ( relation @ sk__2 )
| ~ ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl31]) ).
thf(zip_derived_cl194,plain,
( ~ ( relation @ sk__2 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) @ sk__2 )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl181]) ).
thf(zip_derived_cl305,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) @ sk__2 )
| ~ ( relation @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl234_002,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl29,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) @ ( unordered_pair @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl234,zip_derived_cl29]) ).
thf(zip_derived_cl308,plain,
( ~ ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl306]) ).
thf(zip_derived_cl311,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl308]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( is_reflexive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(zip_derived_cl181_003,plain,
( ~ ( relation @ sk__2 )
| ~ ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl31]) ).
thf(zip_derived_cl191,plain,
( ~ ( relation @ sk__2 )
| ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) )
| ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl181]) ).
thf(zip_derived_cl289,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) )
| ~ ( relation @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl29_004,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl290,plain,
( ( in @ sk__3 @ ( relation_field @ sk__2 ) )
| ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl29]) ).
thf(zip_derived_cl316,plain,
in @ sk__3 @ ( relation_field @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl311,zip_derived_cl290]) ).
thf(zip_derived_cl32_005,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(zip_derived_cl182,plain,
! [X0: $i] :
( ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ~ ( relation @ sk__2 )
| ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl13]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( is_reflexive_in @ X0 @ X1 )
| ( in @ ( ordered_pair @ X2 @ X2 ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ~ ( relation @ sk__2 )
| ~ ( in @ X1 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X1 @ X1 ) @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl9]) ).
thf(zip_derived_cl328,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ X1 @ X1 ) @ sk__2 )
| ~ ( in @ X1 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ~ ( relation @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl234_006,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl234_007,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl29_008,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X1 ) ) @ sk__2 )
| ~ ( in @ X1 @ ( relation_field @ sk__2 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl234,zip_derived_cl234,zip_derived_cl29]) ).
thf(zip_derived_cl332,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__2 )
| ( in @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl329]) ).
thf(zip_derived_cl32_009,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
( ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ~ ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
! [X0: $i] :
( ( sk__2 != sk__2 )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl30]) ).
thf(zip_derived_cl244,plain,
! [X0: $i] :
( ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl234_010,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl234_011,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl234,zip_derived_cl234]) ).
thf(zip_derived_cl359,plain,
! [X0: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl332,zip_derived_cl245]) ).
thf(zip_derived_cl359_012,plain,
! [X0: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__2 )
| ~ ( in @ X0 @ ( relation_field @ sk__2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl332,zip_derived_cl245]) ).
thf(zip_derived_cl8_013,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) ) @ X1 )
| ( is_reflexive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(zip_derived_cl12_014,plain,
! [X0: $i] :
( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(zip_derived_cl30_015,plain,
( ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ~ ( reflexive @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
( ~ ( relation @ sk__2 )
| ~ ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl30]) ).
thf(zip_derived_cl193,plain,
( ~ ( relation @ sk__2 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) @ sk__2 )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl180]) ).
thf(zip_derived_cl259,plain,
( ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ~ ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) @ sk__2 )
| ~ ( relation @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl234_016,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl234_017,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl29_018,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl260,plain,
( ~ ( in @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) @ sk__2 )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) @ ( unordered_pair @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) ) ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl234,zip_derived_cl234,zip_derived_cl29]) ).
thf(zip_derived_cl364,plain,
( ~ ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl260]) ).
thf(zip_derived_cl7_019,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( is_reflexive_in @ X1 @ X0 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_2]) ).
thf(zip_derived_cl180_020,plain,
( ~ ( relation @ sk__2 )
| ~ ( is_reflexive_in @ sk__2 @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl30]) ).
thf(zip_derived_cl190,plain,
( ~ ( relation @ sk__2 )
| ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl180]) ).
thf(zip_derived_cl276,plain,
( ~ ( in @ ( ordered_pair @ sk__3 @ sk__3 ) @ sk__2 )
| ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) )
| ~ ( relation @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl234_021,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl5]) ).
thf(zip_derived_cl29_022,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
( ~ ( in @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) @ sk__2 )
| ( in @ ( sk_ @ ( relation_field @ sk__2 ) @ sk__2 ) @ ( relation_field @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl234,zip_derived_cl29]) ).
thf(zip_derived_cl394,plain,
~ ( in @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__3 ) ) @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl364,zip_derived_cl277]) ).
thf(zip_derived_cl396,plain,
~ ( in @ sk__3 @ ( relation_field @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl394]) ).
thf(zip_derived_cl316_023,plain,
in @ sk__3 @ ( relation_field @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl311,zip_derived_cl290]) ).
thf(zip_derived_cl399,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl396,zip_derived_cl316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU239+1 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mfvpEbsyPA 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 Oct 1 16:01:38 EDT 2025
% 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.84 % Solved by fo/fo3_bce.sh.
% 0.57/0.84 % BCE start: 49
% 0.57/0.84 % BCE eliminated: 2
% 0.57/0.84 % PE start: 47
% 0.57/0.84 logic: eq
% 0.57/0.84 % PE eliminated: -1
% 0.57/0.84 % done 119 iterations in 0.060s
% 0.57/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.84 % SZS output start Refutation
% See solution above
% 0.57/0.84
% 0.57/0.84
% 0.57/0.84 % Terminating...
% 1.94/0.96 % Runner terminated.
% 1.94/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------