TSTP Solution File: SEU360+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.My1BULft6T true
% Computer : n024.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 19:12:23 EDT 2023
% Result : Theorem 0.57s 0.83s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of formulae : 104 ( 26 unt; 20 typ; 0 def)
% Number of atoms : 335 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1265 ( 199 ~; 212 |; 17 &; 815 @)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 3 con; 0-3 aty)
% Number of variables : 139 ( 0 ^; 136 !; 3 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
thf(lower_bounded_relstr_type,type,
lower_bounded_relstr: $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i ).
thf(ex_inf_of_relstr_set_type,type,
ex_inf_of_relstr_set: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(ex_sup_of_relstr_set_type,type,
ex_sup_of_relstr_set: $i > $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(relstr_set_smaller_type,type,
relstr_set_smaller: $i > $i > $i > $o ).
thf(relstr_element_smaller_type,type,
relstr_element_smaller: $i > $i > $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(t42_yellow_0,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( antisymmetric_relstr @ A )
& ( lower_bounded_relstr @ A )
& ( rel_str @ A ) )
=> ( ( ex_sup_of_relstr_set @ A @ empty_set )
& ( ex_inf_of_relstr_set @ A @ ( the_carrier @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( antisymmetric_relstr @ A )
& ( lower_bounded_relstr @ A )
& ( rel_str @ A ) )
=> ( ( ex_sup_of_relstr_set @ A @ empty_set )
& ( ex_inf_of_relstr_set @ A @ ( the_carrier @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t42_yellow_0]) ).
thf(zip_derived_cl43,plain,
( ~ ( ex_sup_of_relstr_set @ sk__13 @ empty_set )
| ~ ( ex_inf_of_relstr_set @ sk__13 @ ( the_carrier @ sk__13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
lower_bounded_relstr @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( ( lower_bounded_relstr @ A )
<=> ? [B: $i] :
( ( relstr_element_smaller @ A @ ( the_carrier @ A ) @ B )
& ( element @ B @ ( the_carrier @ A ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( lower_bounded_relstr @ X0 )
| ( relstr_element_smaller @ X0 @ ( the_carrier @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d4_yellow_0]) ).
thf(zip_derived_cl318,plain,
( ~ ( rel_str @ sk__13 )
| ( relstr_element_smaller @ sk__13 @ ( the_carrier @ sk__13 ) @ ( sk_ @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl4]) ).
thf(zip_derived_cl42,plain,
rel_str @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl388,plain,
relstr_element_smaller @ sk__13 @ ( the_carrier @ sk__13 ) @ ( sk_ @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl42]) ).
thf(t16_yellow_0,axiom,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_inf_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ D )
=> ( related @ A @ D @ C ) ) )
& ( relstr_element_smaller @ A @ B @ C )
& ( element @ C @ ( the_carrier @ A ) ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relstr_element_smaller @ X0 @ X1 @ ( sk__11 @ X2 @ X1 @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 ) ),
inference(cnf,[status(esa)],[t16_yellow_0]) ).
thf(d8_lattice3,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i,C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( relstr_element_smaller @ A @ B @ C )
<=> ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( in @ D @ B )
=> ( related @ A @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( in @ X3 @ X2 )
| ( related @ X1 @ X0 @ X3 )
| ~ ( element @ X3 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( related @ X0 @ ( sk__11 @ X1 @ X2 @ X0 ) @ X1 )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( ex_inf_of_relstr_set @ X0 @ X2 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 ) ),
inference(cnf,[status(esa)],[t16_yellow_0]) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_str @ X0 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( in @ X2 @ X3 )
| ~ ( relstr_element_smaller @ X0 @ X3 @ ( sk__11 @ X2 @ X1 @ X0 ) )
| ~ ( element @ ( sk__11 @ X2 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( rel_str @ X0 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl32]) ).
thf(zip_derived_cl455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( element @ ( sk__11 @ X2 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X3 @ ( sk__11 @ X2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X3 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl335]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__11 @ X0 @ X1 @ X2 ) @ ( the_carrier @ X2 ) )
| ~ ( relstr_element_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_inf_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 )
| ~ ( antisymmetric_relstr @ X2 ) ),
inference(cnf,[status(esa)],[t16_yellow_0]) ).
thf(zip_derived_cl456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_str @ X0 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( in @ X2 @ X3 )
| ~ ( relstr_element_smaller @ X0 @ X3 @ ( sk__11 @ X2 @ X1 @ X0 ) )
| ~ ( antisymmetric_relstr @ X0 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl455,zip_derived_cl31]) ).
thf(zip_derived_cl461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( antisymmetric_relstr @ X0 )
| ~ ( rel_str @ X0 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl456]) ).
thf(zip_derived_cl464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ~ ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( ex_inf_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl461]) ).
thf(zip_derived_cl516,plain,
( ~ ( antisymmetric_relstr @ sk__13 )
| ~ ( rel_str @ sk__13 )
| ( ex_inf_of_relstr_set @ sk__13 @ ( the_carrier @ sk__13 ) )
| ~ ( element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ) )
| ~ ( in @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl464]) ).
thf(zip_derived_cl40,plain,
antisymmetric_relstr @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42_001,plain,
rel_str @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41_002,plain,
lower_bounded_relstr @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( lower_bounded_relstr @ X0 )
| ( element @ ( sk_ @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d4_yellow_0]) ).
thf(zip_derived_cl317,plain,
( ~ ( rel_str @ sk__13 )
| ( element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl3]) ).
thf(zip_derived_cl42_003,plain,
rel_str @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378,plain,
element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl42]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl378_004,plain,
element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl42]) ).
thf(zip_derived_cl380,plain,
( ( empty @ ( the_carrier @ sk__13 ) )
| ( in @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl378]) ).
thf(dt_l1_orders_2,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( one_sorted_str @ A ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( one_sorted_str @ X0 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_orders_2]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ~ ( empty @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl39,plain,
~ ( empty_carrier @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl314,plain,
( ~ ( one_sorted_str @ sk__13 )
| ~ ( empty @ ( the_carrier @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl39]) ).
thf(zip_derived_cl320,plain,
( ~ ( rel_str @ sk__13 )
| ~ ( empty @ ( the_carrier @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl314]) ).
thf(zip_derived_cl42_005,plain,
rel_str @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368,plain,
~ ( empty @ ( the_carrier @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl42]) ).
thf(zip_derived_cl381,plain,
in @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl380,zip_derived_cl368]) ).
thf(zip_derived_cl522,plain,
ex_inf_of_relstr_set @ sk__13 @ ( the_carrier @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl516,zip_derived_cl40,zip_derived_cl42,zip_derived_cl378,zip_derived_cl381]) ).
thf(zip_derived_cl529,plain,
~ ( ex_sup_of_relstr_set @ sk__13 @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl522]) ).
thf(zip_derived_cl388_006,plain,
relstr_element_smaller @ sk__13 @ ( the_carrier @ sk__13 ) @ ( sk_ @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl42]) ).
thf(zip_derived_cl38_007,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( element @ ( sk__1 @ X0 @ X2 @ X1 ) @ ( the_carrier @ X1 ) )
| ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
thf(zip_derived_cl373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty @ ( the_carrier @ X0 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 )
| ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl8]) ).
thf(zip_derived_cl5_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( in @ X3 @ X2 )
| ( related @ X1 @ X0 @ X3 )
| ~ ( element @ X3 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( related @ X1 @ X0 @ ( sk__1 @ X0 @ X2 @ X1 ) )
| ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
thf(zip_derived_cl333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_str @ X0 )
| ~ ( element @ ( sk__1 @ X1 @ X3 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( in @ ( sk__1 @ X1 @ X3 @ X0 ) @ X2 )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 )
| ( relstr_element_smaller @ X0 @ X3 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( relstr_element_smaller @ X0 @ X3 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( in @ ( sk__1 @ X1 @ X3 @ X0 ) @ X2 )
| ~ ( element @ ( sk__1 @ X1 @ X3 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl333]) ).
thf(zip_derived_cl8_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( element @ ( sk__1 @ X0 @ X2 @ X1 ) @ ( the_carrier @ X1 ) )
| ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
thf(zip_derived_cl446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_str @ X0 )
| ~ ( in @ ( sk__1 @ X1 @ X3 @ X0 ) @ X2 )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( relstr_element_smaller @ X0 @ X3 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl445,zip_derived_cl8]) ).
thf(zip_derived_cl548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( rel_str @ X0 )
| ( empty @ ( the_carrier @ X0 ) )
| ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ ( the_carrier @ X0 ) @ X2 )
| ~ ( rel_str @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl446]) ).
thf(zip_derived_cl550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relstr_element_smaller @ X0 @ ( the_carrier @ X0 ) @ X2 )
| ( empty @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 )
| ( relstr_element_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl548]) ).
thf(zip_derived_cl571,plain,
! [X0: $i] :
( ~ ( element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ) )
| ( relstr_element_smaller @ sk__13 @ X0 @ ( sk_ @ sk__13 ) )
| ~ ( rel_str @ sk__13 )
| ( empty @ ( the_carrier @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl550]) ).
thf(zip_derived_cl378_010,plain,
element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl42]) ).
thf(zip_derived_cl42_011,plain,
rel_str @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368_012,plain,
~ ( empty @ ( the_carrier @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl42]) ).
thf(zip_derived_cl577,plain,
! [X0: $i] : ( relstr_element_smaller @ sk__13 @ X0 @ ( sk_ @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl571,zip_derived_cl378,zip_derived_cl42,zip_derived_cl368]) ).
thf(t6_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ empty_set @ B )
& ( relstr_element_smaller @ A @ empty_set @ B ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( relstr_set_smaller @ X1 @ empty_set @ X0 )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[t6_yellow_0]) ).
thf(t15_yellow_0,axiom,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_sup_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) )
& ( relstr_set_smaller @ A @ B @ C )
& ( element @ C @ ( the_carrier @ A ) ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__9 @ X0 @ X1 @ X2 ) @ ( the_carrier @ X2 ) )
| ~ ( relstr_set_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_sup_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 )
| ~ ( antisymmetric_relstr @ X2 ) ),
inference(cnf,[status(esa)],[t15_yellow_0]) ).
thf(zip_derived_cl38_013,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( antisymmetric_relstr @ X0 )
| ~ ( rel_str @ X0 )
| ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ( empty @ ( the_carrier @ X0 ) )
| ( in @ ( sk__9 @ X2 @ X1 @ X0 ) @ ( the_carrier @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl38]) ).
thf(zip_derived_cl5_014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( relstr_element_smaller @ X1 @ X2 @ X0 )
| ~ ( in @ X3 @ X2 )
| ( related @ X1 @ X0 @ X3 )
| ~ ( element @ X3 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_lattice3]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( related @ X0 @ X1 @ ( sk__9 @ X1 @ X2 @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( ex_sup_of_relstr_set @ X0 @ X2 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 ) ),
inference(cnf,[status(esa)],[t15_yellow_0]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_str @ X0 )
| ~ ( element @ ( sk__9 @ X1 @ X3 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( in @ ( sk__9 @ X1 @ X3 @ X0 ) @ X2 )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( rel_str @ X0 )
| ( ex_sup_of_relstr_set @ X0 @ X3 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X3 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl26]) ).
thf(zip_derived_cl469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( relstr_set_smaller @ X0 @ X3 @ X1 )
| ( ex_sup_of_relstr_set @ X0 @ X3 )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( in @ ( sk__9 @ X1 @ X3 @ X0 ) @ X2 )
| ~ ( element @ ( sk__9 @ X1 @ X3 @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl25_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__9 @ X0 @ X1 @ X2 ) @ ( the_carrier @ X2 ) )
| ~ ( relstr_set_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_sup_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 )
| ~ ( antisymmetric_relstr @ X2 ) ),
inference(cnf,[status(esa)],[t15_yellow_0]) ).
thf(zip_derived_cl470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rel_str @ X0 )
| ~ ( in @ ( sk__9 @ X1 @ X3 @ X0 ) @ X2 )
| ~ ( relstr_element_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ~ ( antisymmetric_relstr @ X0 )
| ( ex_sup_of_relstr_set @ X0 @ X3 )
| ~ ( relstr_set_smaller @ X0 @ X3 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl469,zip_derived_cl25]) ).
thf(zip_derived_cl601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty @ ( the_carrier @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_element_smaller @ X0 @ ( the_carrier @ X0 ) @ X2 )
| ~ ( rel_str @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl470]) ).
thf(zip_derived_cl604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relstr_element_smaller @ X0 @ ( the_carrier @ X0 ) @ X2 )
| ~ ( antisymmetric_relstr @ X0 )
| ~ ( rel_str @ X0 )
| ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ( empty @ ( the_carrier @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl601]) ).
thf(zip_derived_cl661,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( empty @ ( the_carrier @ X1 ) )
| ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( ex_sup_of_relstr_set @ X1 @ empty_set )
| ~ ( rel_str @ X1 )
| ~ ( antisymmetric_relstr @ X1 )
| ~ ( relstr_element_smaller @ X1 @ ( the_carrier @ X1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl604]) ).
thf(zip_derived_cl664,plain,
! [X0: $i,X1: $i] :
( ~ ( relstr_element_smaller @ X1 @ ( the_carrier @ X1 ) @ X0 )
| ~ ( antisymmetric_relstr @ X1 )
| ( ex_sup_of_relstr_set @ X1 @ empty_set )
| ( empty @ ( the_carrier @ X1 ) )
| ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl661]) ).
thf(zip_derived_cl679,plain,
( ~ ( rel_str @ sk__13 )
| ~ ( element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ) )
| ( empty @ ( the_carrier @ sk__13 ) )
| ( ex_sup_of_relstr_set @ sk__13 @ empty_set )
| ~ ( antisymmetric_relstr @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl664]) ).
thf(zip_derived_cl42_016,plain,
rel_str @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378_017,plain,
element @ ( sk_ @ sk__13 ) @ ( the_carrier @ sk__13 ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl42]) ).
thf(zip_derived_cl368_018,plain,
~ ( empty @ ( the_carrier @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl42]) ).
thf(zip_derived_cl40_019,plain,
antisymmetric_relstr @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl685,plain,
ex_sup_of_relstr_set @ sk__13 @ empty_set,
inference(demod,[status(thm)],[zip_derived_cl679,zip_derived_cl42,zip_derived_cl378,zip_derived_cl368,zip_derived_cl40]) ).
thf(zip_derived_cl692,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl529,zip_derived_cl685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.My1BULft6T true
% 0.14/0.35 % Computer : n024.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 : Thu Aug 24 01:31:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.83 % Solved by fo/fo3_bce.sh.
% 0.57/0.83 % BCE start: 49
% 0.57/0.83 % BCE eliminated: 2
% 0.57/0.83 % PE start: 47
% 0.57/0.83 logic: eq
% 0.57/0.83 % PE eliminated: -3
% 0.57/0.83 % done 131 iterations in 0.092s
% 0.57/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.83 % SZS output start Refutation
% See solution above
% 0.57/0.83
% 0.57/0.83
% 0.57/0.83 % Terminating...
% 1.41/0.86 % Runner terminated.
% 1.46/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------