TSTP Solution File: SET637+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LgzicLtntX true
% Computer : n025.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 16:15:14 EDT 2023
% Result : Theorem 1.33s 0.98s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 101 ( 19 unt; 11 typ; 0 def)
% Number of atoms : 182 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 637 ( 87 ~; 71 |; 2 &; 458 @)
% ( 8 <=>; 0 =>; 11 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 135 ( 0 ^; 134 !; 1 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(not_equal_type,type,
not_equal: $i > $i > $o ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(prove_th119,conjecture,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ( not_equal @ ( intersection @ B @ C ) @ empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ( not_equal @ ( intersection @ B @ C ) @ empty_set ) ),
inference('cnf.neg',[status(esa)],[prove_th119]) ).
thf(zip_derived_cl18,plain,
( ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set )
| ~ ( intersect @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
( ~ ( intersect @ sk__3 @ sk__4 )
<= ~ ( intersect @ sk__3 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf('0',plain,
( ~ ( intersect @ sk__3 @ sk__4 )
| ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(not_equal_defn,axiom,
! [B: $i,C: $i] :
( ( not_equal @ B @ C )
<=> ( B != C ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( not_equal @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[not_equal_defn]) ).
thf(zip_derived_cl22,plain,
( ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl34,plain,
( ( ( intersection @ sk__3 @ sk__4 )
= empty_set )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl22]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl63,plain,
( ! [X0: $i] :
( ( member @ X0 @ empty_set )
| ~ ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl2]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl64,plain,
( ! [X0: $i] :
( ~ ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl6]) ).
thf(zip_derived_cl87,plain,
( ! [X0: $i] :
( ~ ( intersect @ X0 @ sk__4 )
| ~ ( member @ ( sk_ @ sk__4 @ X0 ) @ sk__3 ) )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl64]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl111,plain,
( ( ~ ( intersect @ sk__3 @ sk__4 )
| ~ ( intersect @ sk__3 @ sk__4 ) )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl4]) ).
thf(zip_derived_cl112,plain,
( ~ ( intersect @ sk__3 @ sk__4 )
<= ~ ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl17,plain,
( ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set )
| ( intersect @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
( ( intersect @ sk__3 @ sk__4 )
<= ( intersect @ sk__3 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf('1',plain,
( ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set )
| ~ ( intersect @ sk__3 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl19]) ).
thf('2',plain,
~ ( intersect @ sk__3 @ sk__4 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl484,plain,
~ ( intersect @ sk__3 @ sk__4 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl21,'2']) ).
thf(empty_defn,axiom,
! [B: $i] :
( ( empty @ B )
<=> ! [C: $i] :
~ ( member @ C @ B ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ X0 )
| ( intersect @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( intersect @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl48]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl54,plain,
empty @ empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl6]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk__2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl15]) ).
thf(equal_member_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
thf(zip_derived_cl15_004,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( X1 = X0 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).
thf(zip_derived_cl15_005,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl703,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X1 )
| ( X0 = X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl15]) ).
thf(zip_derived_cl716,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( empty @ X0 )
| ( X2
= ( intersection @ X1 @ X0 ) )
| ~ ( empty @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl703]) ).
thf(zip_derived_cl734,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( intersection @ X1 @ empty_set ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl716]) ).
thf(zip_derived_cl736,plain,
! [X0: $i,X1: $i] :
( ( intersect @ X0 @ X0 )
| ( X0
= ( intersection @ X1 @ empty_set ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl734]) ).
thf(zip_derived_cl20,plain,
( ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set )
<= ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( not_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[not_equal_defn]) ).
thf(zip_derived_cl27,plain,
( ( ( intersection @ sk__3 @ sk__4 )
!= empty_set )
<= ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf('3',plain,
( ( not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set )
| ( intersect @ sk__3 @ sk__4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf('4',plain,
not_equal @ ( intersection @ sk__3 @ sk__4 ) @ empty_set,
inference('sat_resolution*',[status(thm)],['0','1','3']) ).
thf(zip_derived_cl485,plain,
( ( intersection @ sk__3 @ sk__4 )
!= empty_set ),
inference(simpl_trail,[status(thm)],[zip_derived_cl27,'4']) ).
thf(zip_derived_cl842,plain,
! [X0: $i] :
( ( intersect @ ( intersection @ sk__3 @ sk__4 ) @ ( intersection @ sk__3 @ sk__4 ) )
| ( ( intersection @ X0 @ empty_set )
!= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl736,zip_derived_cl485]) ).
thf(zip_derived_cl10_006,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( member @ ( sk__1 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
thf(zip_derived_cl6_007,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl136,plain,
! [X0: $i] :
( ( member @ ( sk__1 @ empty_set @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl6]) ).
thf(zip_derived_cl15_008,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl243,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl15]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl16_009,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk__2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
thf(zip_derived_cl6_010,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] : ( empty @ ( intersection @ empty_set @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl6]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] : ( empty @ ( intersection @ X0 @ empty_set ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl172]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( ( intersection @ X0 @ empty_set )
= empty_set ),
inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl194]) ).
thf(zip_derived_cl913,plain,
( ( intersect @ ( intersection @ sk__3 @ sk__4 ) @ ( intersection @ sk__3 @ sk__4 ) )
| ( empty_set != empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl842,zip_derived_cl336]) ).
thf(zip_derived_cl914,plain,
intersect @ ( intersection @ sk__3 @ sk__4 ) @ ( intersection @ sk__3 @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl913]) ).
thf(zip_derived_cl3_011,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X2 @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl4_013,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl574,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) )
| ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) )
| ( intersect @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl102]) ).
thf(zip_derived_cl578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X1 @ X0 )
| ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl574]) ).
thf(zip_derived_cl998,plain,
intersect @ ( intersection @ sk__3 @ sk__4 ) @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl914,zip_derived_cl578]) ).
thf(zip_derived_cl4_015,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl1_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl3_017,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ X0 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk_ @ X0 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 )
| ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 )
| ( intersect @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl82]) ).
thf(zip_derived_cl661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X2 @ X0 )
| ~ ( intersect @ ( intersection @ X1 @ X0 ) @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl652]) ).
thf(zip_derived_cl1244,plain,
intersect @ sk__3 @ sk__4,
inference('s_sup-',[status(thm)],[zip_derived_cl998,zip_derived_cl661]) ).
thf(zip_derived_cl1300,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl484,zip_derived_cl1244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LgzicLtntX true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 14:37:23 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.98 % Solved by fo/fo1_av.sh.
% 1.33/0.98 % done 350 iterations in 0.223s
% 1.33/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.33/0.98 % SZS output start Refutation
% See solution above
% 1.33/0.99
% 1.33/0.99
% 1.33/0.99 % Terminating...
% 1.58/1.05 % Runner terminated.
% 1.58/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------