TSTP Solution File: SET807+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET807+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RHP6E8srwb true
% Computer : n016.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 16:16:07 EDT 2023
% Result : Theorem 78.38s 11.90s
% Output : Refutation 78.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 84 ( 15 unt; 18 typ; 0 def)
% Number of atoms : 136 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 734 ( 53 ~; 47 |; 8 &; 611 @)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 106 ( 0 ^; 106 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i > $i > $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $i > $i > $i > $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $i > $o ).
thf(pre_order_type,type,
pre_order: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_predicate_type,type,
subset_predicate: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i > $i ).
thf(sk__18_type,type,
sk__18: $i > $i > $i ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $i > $i > $o ).
thf(power_set,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ X0 @ ( power_set @ X1 ) ) ),
inference(cnf,[status(esa)],[power_set]) ).
thf(rel_subset,axiom,
! [X: $i,Y: $i] :
( ( apply @ subset_predicate @ X @ Y )
<=> ( subset @ X @ Y ) ) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ( apply @ subset_predicate @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[rel_subset]) ).
thf(zip_derived_cl683,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( apply @ subset_predicate @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl103]) ).
thf(pre_order,axiom,
! [R: $i,E: $i] :
( ( pre_order @ R @ E )
<=> ( ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ Z @ E )
& ( member @ Y @ E )
& ( member @ X @ E ) )
=> ( ( ( apply @ R @ Y @ Z )
& ( apply @ R @ X @ Y ) )
=> ( apply @ R @ X @ Z ) ) )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_16: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X: $i,E: $i,R: $i] :
( ( zip_tseitin_16 @ X @ E @ R )
<=> ( ( member @ X @ E )
=> ( apply @ R @ X @ X ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_15: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_15 @ Z @ Y @ X @ R )
<=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_14: $i > $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Z: $i,Y: $i,X: $i,E: $i] :
( ( zip_tseitin_14 @ Z @ Y @ X @ E )
<=> ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) ) ) ).
thf(zf_stmt_6,axiom,
! [R: $i,E: $i] :
( ( pre_order @ R @ E )
<=> ( ! [X: $i] : ( zip_tseitin_16 @ X @ E @ R )
& ! [X: $i,Y: $i,Z: $i] :
( ( zip_tseitin_14 @ Z @ Y @ X @ E )
=> ( zip_tseitin_15 @ Z @ Y @ X @ R ) ) ) ) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ( pre_order @ X0 @ X1 )
| ~ ( zip_tseitin_15 @ ( sk__18 @ X1 @ X0 ) @ ( sk__17 @ X1 @ X0 ) @ ( sk__16 @ X1 @ X0 ) @ X0 )
| ~ ( zip_tseitin_16 @ ( sk__19 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(thIV18a,conjecture,
! [E: $i] : ( pre_order @ subset_predicate @ ( power_set @ E ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ! [E: $i] : ( pre_order @ subset_predicate @ ( power_set @ E ) ),
inference('cnf.neg',[status(esa)],[thIV18a]) ).
thf(zip_derived_cl104,plain,
~ ( pre_order @ subset_predicate @ ( power_set @ sk__20 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl651,plain,
( ~ ( zip_tseitin_16 @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ sk__20 ) @ subset_predicate )
| ~ ( zip_tseitin_15 @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ subset_predicate ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl104]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_15 @ X0 @ X1 @ X2 @ X3 )
| ( apply @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1155,plain,
( ~ ( zip_tseitin_16 @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ sk__20 ) @ subset_predicate )
| ( apply @ subset_predicate @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl651,zip_derived_cl93]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_16 @ X0 @ X1 @ X2 )
| ~ ( apply @ X2 @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1348,plain,
( ( apply @ subset_predicate @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) )
| ~ ( apply @ subset_predicate @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1155,zip_derived_cl96]) ).
thf(zip_derived_cl1386,plain,
( ~ ( member @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) ) )
| ( apply @ subset_predicate @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl683,zip_derived_cl1348]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( power_set @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[power_set]) ).
thf(zip_derived_cl673,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( power_set @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[power_set]) ).
thf(zip_derived_cl677,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(zip_derived_cl1052,plain,
! [X0: $i] :
( ( member @ X0 @ ( power_set @ X0 ) )
| ( member @ X0 @ ( power_set @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl673,zip_derived_cl677]) ).
thf(zip_derived_cl1053,plain,
! [X0: $i] : ( member @ X0 @ ( power_set @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1052]) ).
thf(zip_derived_cl1387,plain,
apply @ subset_predicate @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ),
inference(demod,[status(thm)],[zip_derived_cl1386,zip_derived_cl1053]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( apply @ subset_predicate @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[rel_subset]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl688,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apply @ subset_predicate @ X1 @ X0 )
| ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl0]) ).
thf(zip_derived_cl1390,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) )
| ( member @ X0 @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1387,zip_derived_cl688]) ).
thf(zip_derived_cl683_002,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( apply @ subset_predicate @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl103]) ).
thf(zip_derived_cl651_003,plain,
( ~ ( zip_tseitin_16 @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ sk__20 ) @ subset_predicate )
| ~ ( zip_tseitin_15 @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ subset_predicate ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl104]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_15 @ X0 @ X1 @ X2 @ X3 )
| ~ ( apply @ X3 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1154,plain,
( ~ ( zip_tseitin_16 @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ sk__20 ) @ subset_predicate )
| ~ ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl651,zip_derived_cl92]) ).
thf(zip_derived_cl96_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_16 @ X0 @ X1 @ X2 )
| ~ ( apply @ X2 @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1198,plain,
( ~ ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) )
| ~ ( apply @ subset_predicate @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1154,zip_derived_cl96]) ).
thf(zip_derived_cl1210,plain,
( ~ ( member @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) ) )
| ~ ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl683,zip_derived_cl1198]) ).
thf(zip_derived_cl1053_005,plain,
! [X0: $i] : ( member @ X0 @ ( power_set @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1052]) ).
thf(zip_derived_cl1211,plain,
~ ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ),
inference(demod,[status(thm)],[zip_derived_cl1210,zip_derived_cl1053]) ).
thf(zip_derived_cl1_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl103_007,plain,
! [X0: $i,X1: $i] :
( ( apply @ subset_predicate @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[rel_subset]) ).
thf(zip_derived_cl675,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( apply @ subset_predicate @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl103]) ).
thf(zip_derived_cl1213,plain,
~ ( member @ ( sk_ @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ),
inference('sup+',[status(thm)],[zip_derived_cl1211,zip_derived_cl675]) ).
thf(zip_derived_cl1406,plain,
~ ( member @ ( sk_ @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) ),
inference('sup-',[status(thm)],[zip_derived_cl1390,zip_derived_cl1213]) ).
thf(zip_derived_cl683_008,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( apply @ subset_predicate @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl103]) ).
thf(zip_derived_cl651_009,plain,
( ~ ( zip_tseitin_16 @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ sk__20 ) @ subset_predicate )
| ~ ( zip_tseitin_15 @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ subset_predicate ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl101,zip_derived_cl104]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_15 @ X0 @ X1 @ X2 @ X3 )
| ( apply @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1156,plain,
( ~ ( zip_tseitin_16 @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ sk__20 ) @ subset_predicate )
| ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl651,zip_derived_cl94]) ).
thf(zip_derived_cl96_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_16 @ X0 @ X1 @ X2 )
| ~ ( apply @ X2 @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1352,plain,
( ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) )
| ~ ( apply @ subset_predicate @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1156,zip_derived_cl96]) ).
thf(zip_derived_cl66555,plain,
( ~ ( member @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( power_set @ ( sk__19 @ ( power_set @ sk__20 ) @ subset_predicate ) ) )
| ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl683,zip_derived_cl1352]) ).
thf(zip_derived_cl1053_011,plain,
! [X0: $i] : ( member @ X0 @ ( power_set @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1052]) ).
thf(zip_derived_cl66556,plain,
apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ),
inference(demod,[status(thm)],[zip_derived_cl66555,zip_derived_cl1053]) ).
thf(zip_derived_cl688_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apply @ subset_predicate @ X1 @ X0 )
| ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl0]) ).
thf(zip_derived_cl66559,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) )
| ( member @ X0 @ ( sk__17 @ ( power_set @ sk__20 ) @ subset_predicate ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl66556,zip_derived_cl688]) ).
thf(zip_derived_cl67196,plain,
~ ( member @ ( sk_ @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) ),
inference('sup+',[status(thm)],[zip_derived_cl1406,zip_derived_cl66559]) ).
thf(zip_derived_cl1211_013,plain,
~ ( apply @ subset_predicate @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) ),
inference(demod,[status(thm)],[zip_derived_cl1210,zip_derived_cl1053]) ).
thf(zip_derived_cl2_014,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl103_015,plain,
! [X0: $i,X1: $i] :
( ( apply @ subset_predicate @ X0 @ X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[rel_subset]) ).
thf(zip_derived_cl679,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( apply @ subset_predicate @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl103]) ).
thf(zip_derived_cl1214,plain,
member @ ( sk_ @ ( sk__18 @ ( power_set @ sk__20 ) @ subset_predicate ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ) ) @ ( sk__16 @ ( power_set @ sk__20 ) @ subset_predicate ),
inference('sup+',[status(thm)],[zip_derived_cl1211,zip_derived_cl679]) ).
thf(zip_derived_cl67203,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl67196,zip_derived_cl1214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET807+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RHP6E8srwb true
% 0.13/0.35 % Computer : n016.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 : Sat Aug 26 17:08:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 78.38/11.90 % Solved by fo/fo3_bce.sh.
% 78.38/11.90 % BCE start: 105
% 78.38/11.90 % BCE eliminated: 0
% 78.38/11.90 % PE start: 105
% 78.38/11.90 logic: eq
% 78.38/11.90 % PE eliminated: 8
% 78.38/11.90 % done 4264 iterations in 11.132s
% 78.38/11.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 78.38/11.90 % SZS output start Refutation
% See solution above
% 78.38/11.90
% 78.38/11.90
% 78.38/11.90 % Terminating...
% 79.48/11.97 % Runner terminated.
% 79.48/11.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------