%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU394+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.hEjsEpp8qT true
% Computer : n026.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 04:54:28 PM UTC 2025
% Result : Theorem 4.08s 1.16s
% Output : Refutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 110 ( 10 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 431 ( 54 ~; 39 |; 23 &; 305 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(net_of_bool_filter_type,type,
net_of_bool_filter: $i > $i > $i > $i ).
thf(proper_element_type,type,
proper_element: $i > $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(relation_empty_yielding_type,type,
relation_empty_yielding: $i > $o ).
thf(filter_of_net_str_type,type,
filter_of_net_str: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__38_type,type,
sk__38: $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__37_type,type,
sk__37: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(boole_POSet_type,type,
boole_POSet: $i > $i ).
thf(filtered_subset_type,type,
filtered_subset: $i > $i > $o ).
thf(upper_relstr_subset_type,type,
upper_relstr_subset: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(t65_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ ( singleton @ B ) )
= A )
<=> ~ ( in @ B @ A ) ) ).
thf(zip_derived_cl392,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ ( singleton @ X1 ) )
= X0 )
| ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[t65_zfmisc_1]) ).
thf(t14_yellow19,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) )
& ( upper_relstr_subset @ B @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) )
& ( element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) ) ) ) )
=> ( ( set_difference @ B @ ( singleton @ empty_set ) )
= ( filter_of_net_str @ A @ ( net_of_bool_filter @ A @ ( cast_as_carrier_subset @ A ) @ B ) ) ) ) ) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( filtered_subset @ X0 @ ( boole_POSet @ ( cast_as_carrier_subset @ X1 ) ) )
| ~ ( upper_relstr_subset @ X0 @ ( boole_POSet @ ( cast_as_carrier_subset @ X1 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ X1 ) ) ) ) )
| ( ( set_difference @ X0 @ ( singleton @ empty_set ) )
= ( filter_of_net_str @ X1 @ ( net_of_bool_filter @ X1 @ ( cast_as_carrier_subset @ X1 ) @ X0 ) ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[t14_yellow19]) ).
thf(t15_yellow19,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) )
& ( upper_relstr_subset @ B @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) )
& ( proper_element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) ) ) )
& ( element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) ) ) ) )
=> ( B
= ( filter_of_net_str @ A @ ( net_of_bool_filter @ A @ ( cast_as_carrier_subset @ A ) @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) )
& ( upper_relstr_subset @ B @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) )
& ( proper_element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) ) ) )
& ( element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ A ) ) ) ) ) )
=> ( B
= ( filter_of_net_str @ A @ ( net_of_bool_filter @ A @ ( cast_as_carrier_subset @ A ) @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t15_yellow19]) ).
thf(zip_derived_cl374,plain,
( sk__38
!= ( filter_of_net_str @ sk__37 @ ( net_of_bool_filter @ sk__37 @ ( cast_as_carrier_subset @ sk__37 ) @ sk__38 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5152,plain,
( ( empty_carrier @ sk__37 )
| ~ ( one_sorted_str @ sk__37 )
| ~ ( element @ sk__38 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ) )
| ~ ( upper_relstr_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) )
| ~ ( filtered_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) )
| ( empty @ sk__38 )
| ( sk__38
!= ( set_difference @ sk__38 @ ( singleton @ empty_set ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl374]) ).
thf(zip_derived_cl372,plain,
~ ( empty_carrier @ sk__37 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
one_sorted_str @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl375,plain,
element @ sk__38 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl377,plain,
upper_relstr_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378,plain,
filtered_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl379,plain,
~ ( empty @ sk__38 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5164,plain,
( sk__38
!= ( set_difference @ sk__38 @ ( singleton @ empty_set ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5152,zip_derived_cl372,zip_derived_cl373,zip_derived_cl375,zip_derived_cl377,zip_derived_cl378,zip_derived_cl379]) ).
thf(zip_derived_cl5234,plain,
( ( in @ empty_set @ sk__38 )
| ( sk__38 != sk__38 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl5164]) ).
thf(zip_derived_cl5241,plain,
in @ empty_set @ sk__38,
inference(simplify,[status(thm)],[zip_derived_cl5234]) ).
thf(zip_derived_cl377_001,plain,
upper_relstr_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t2_yellow19,axiom,
! [A: $i] :
( ~ ( empty @ A )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ ( boole_POSet @ A ) )
& ( upper_relstr_subset @ B @ ( boole_POSet @ A ) )
& ( proper_element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ A ) ) ) )
& ( element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ A ) ) ) ) )
=> ! [C: $i] :
~ ( ( in @ C @ B )
& ( empty @ C ) ) ) ) ).
thf(zip_derived_cl384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty @ X0 )
| ~ ( filtered_subset @ X0 @ ( boole_POSet @ X1 ) )
| ~ ( upper_relstr_subset @ X0 @ ( boole_POSet @ X1 ) )
| ~ ( proper_element @ X0 @ ( powerset @ ( the_carrier @ ( boole_POSet @ X1 ) ) ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ ( boole_POSet @ X1 ) ) ) )
| ~ ( in @ X2 @ X0 )
| ~ ( empty @ X2 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t2_yellow19]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl394,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl5208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty @ X1 )
| ~ ( empty @ X2 )
| ~ ( in @ X2 @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ ( boole_POSet @ X1 ) ) ) )
| ~ ( proper_element @ X0 @ ( powerset @ ( the_carrier @ ( boole_POSet @ X1 ) ) ) )
| ~ ( upper_relstr_subset @ X0 @ ( boole_POSet @ X1 ) )
| ~ ( filtered_subset @ X0 @ ( boole_POSet @ X1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl384,zip_derived_cl394]) ).
thf(zip_derived_cl5216,plain,
! [X0: $i] :
( ( empty @ ( cast_as_carrier_subset @ sk__37 ) )
| ~ ( empty @ X0 )
| ~ ( in @ X0 @ sk__38 )
| ~ ( element @ sk__38 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ) )
| ~ ( proper_element @ sk__38 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ) )
| ~ ( filtered_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl5208]) ).
thf(zip_derived_cl375_002,plain,
element @ sk__38 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl376,plain,
proper_element @ sk__38 @ ( powerset @ ( the_carrier @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378_003,plain,
filtered_subset @ sk__38 @ ( boole_POSet @ ( cast_as_carrier_subset @ sk__37 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5225,plain,
! [X0: $i] :
( ( empty @ ( cast_as_carrier_subset @ sk__37 ) )
| ~ ( empty @ X0 )
| ~ ( in @ X0 @ sk__38 ) ),
inference(demod,[status(thm)],[zip_derived_cl5216,zip_derived_cl375,zip_derived_cl376,zip_derived_cl378]) ).
thf(zip_derived_cl5262,plain,
( ( empty @ ( cast_as_carrier_subset @ sk__37 ) )
| ~ ( empty @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5241,zip_derived_cl5225]) ).
thf(fc12_relat_1,axiom,
( ( relation_empty_yielding @ empty_set )
& ( relation @ empty_set )
& ( empty @ empty_set ) ) ).
thf(zip_derived_cl92,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc12_relat_1]) ).
thf(zip_derived_cl5266,plain,
empty @ ( cast_as_carrier_subset @ sk__37 ),
inference(demod,[status(thm)],[zip_derived_cl5262,zip_derived_cl92]) ).
thf(fc2_pre_topc,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( cast_as_carrier_subset @ A ) ) ) ).
thf(zip_derived_cl126,plain,
! [X0: $i] :
( ~ ( empty @ ( cast_as_carrier_subset @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc2_pre_topc]) ).
thf(zip_derived_cl5277,plain,
( ~ ( one_sorted_str @ sk__37 )
| ( empty_carrier @ sk__37 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5266,zip_derived_cl126]) ).
thf(zip_derived_cl373_004,plain,
one_sorted_str @ sk__37,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372_005,plain,
~ ( empty_carrier @ sk__37 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5285,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5277,zip_derived_cl373,zip_derived_cl372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU394+1 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hEjsEpp8qT true
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:10:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.45/0.60 % Total configuration time : 435
% 0.45/0.60 % Estimated wc time : 1092
% 0.45/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.08/1.16 % Solved by fo/fo6_bce.sh.
% 4.08/1.16 % BCE start: 396
% 4.08/1.16 % BCE eliminated: 40
% 4.08/1.16 % PE start: 356
% 4.08/1.16 logic: eq
% 4.08/1.16 % PE eliminated: 9
% 4.08/1.16 % done 554 iterations in 0.447s
% 4.08/1.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.08/1.16 % SZS output start Refutation
% See solution above
% 4.08/1.16
% 4.08/1.16
% 4.08/1.16 % Terminating...
% 4.34/1.22 % Runner terminated.
% 4.34/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------