TSTP Solution File: SEU387+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU387+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sy7v9MKWhL true
% Computer : n019.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 19:12:34 EDT 2023
% Result : Theorem 1.38s 0.92s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 39
% Syntax : Number of formulae : 62 ( 18 unt; 33 typ; 0 def)
% Number of atoms : 109 ( 11 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 354 ( 48 ~; 36 |; 36 &; 226 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 33 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(bottom_of_relstr_type,type,
bottom_of_relstr: $i > $i ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(with_suprema_relstr_type,type,
with_suprema_relstr: $i > $o ).
thf(boolean_relstr_type,type,
boolean_relstr: $i > $o ).
thf(with_infima_relstr_type,type,
with_infima_relstr: $i > $o ).
thf(distributive_relstr_type,type,
distributive_relstr: $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(heyting_relstr_type,type,
heyting_relstr: $i > $o ).
thf(v1_yellow_3_type,type,
v1_yellow_3: $i > $o ).
thf(lower_bounded_relstr_type,type,
lower_bounded_relstr: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(reflexive_relstr_type,type,
reflexive_relstr: $i > $o ).
thf(strict_rel_str_type,type,
strict_rel_str: $i > $o ).
thf(upper_bounded_relstr_type,type,
upper_bounded_relstr: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(complete_relstr_type,type,
complete_relstr: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(upper_relstr_subset_type,type,
upper_relstr_subset: $i > $i > $o ).
thf(proper_element_type,type,
proper_element: $i > $i > $o ).
thf(filtered_subset_type,type,
filtered_subset: $i > $i > $o ).
thf(bounded_relstr_type,type,
bounded_relstr: $i > $o ).
thf(complemented_relstr_type,type,
complemented_relstr: $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(transitive_relstr_type,type,
transitive_relstr: $i > $o ).
thf(join_complete_relstr_type,type,
join_complete_relstr: $i > $o ).
thf(boole_POSet_type,type,
boole_POSet: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(up_complete_relstr_type,type,
up_complete_relstr: $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(t2_yellow19,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[t2_yellow19]) ).
thf(zip_derived_cl248,plain,
upper_relstr_subset @ sk__21 @ ( boole_POSet @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
proper_element @ sk__21 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t8_waybel_7,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( reflexive_relstr @ A )
& ( transitive_relstr @ A )
& ( antisymmetric_relstr @ A )
& ( lower_bounded_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ A )
& ( upper_relstr_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( proper_element @ B @ ( powerset @ ( the_carrier @ A ) ) )
<=> ~ ( in @ ( bottom_of_relstr @ A ) @ B ) ) ) ) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( filtered_subset @ X0 @ X1 )
| ~ ( upper_relstr_subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( proper_element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( in @ ( bottom_of_relstr @ X1 ) @ X0 )
| ~ ( rel_str @ X1 )
| ~ ( lower_bounded_relstr @ X1 )
| ~ ( antisymmetric_relstr @ X1 )
| ~ ( transitive_relstr @ X1 )
| ~ ( reflexive_relstr @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[t8_waybel_7]) ).
thf(zip_derived_cl1393,plain,
! [X0: $i,X1: $i] :
( ( sk__21 != X0 )
| ( ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) )
!= ( powerset @ ( the_carrier @ X1 ) ) )
| ( empty_carrier @ X1 )
| ~ ( reflexive_relstr @ X1 )
| ~ ( transitive_relstr @ X1 )
| ~ ( antisymmetric_relstr @ X1 )
| ~ ( lower_bounded_relstr @ X1 )
| ~ ( rel_str @ X1 )
| ~ ( in @ ( bottom_of_relstr @ X1 ) @ X0 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( upper_relstr_subset @ X0 @ X1 )
| ~ ( filtered_subset @ X0 @ X1 )
| ( empty @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl247,zip_derived_cl242]) ).
thf(zip_derived_cl3000,plain,
( ( empty @ sk__21 )
| ~ ( filtered_subset @ sk__21 @ ( boole_POSet @ sk__20 ) )
| ~ ( element @ sk__21 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) ) )
| ~ ( in @ ( bottom_of_relstr @ ( boole_POSet @ sk__20 ) ) @ sk__21 )
| ~ ( rel_str @ ( boole_POSet @ sk__20 ) )
| ~ ( lower_bounded_relstr @ ( boole_POSet @ sk__20 ) )
| ~ ( antisymmetric_relstr @ ( boole_POSet @ sk__20 ) )
| ~ ( transitive_relstr @ ( boole_POSet @ sk__20 ) )
| ~ ( reflexive_relstr @ ( boole_POSet @ sk__20 ) )
| ( empty_carrier @ ( boole_POSet @ sk__20 ) )
| ( ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) )
!= ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) ) )
| ( sk__21 != sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl1393]) ).
thf(zip_derived_cl250,plain,
~ ( empty @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl249,plain,
filtered_subset @ sk__21 @ ( boole_POSet @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl246,plain,
element @ sk__21 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t18_yellow_1,axiom,
! [A: $i] :
( ( bottom_of_relstr @ ( boole_POSet @ A ) )
= empty_set ) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( bottom_of_relstr @ ( boole_POSet @ X0 ) )
= empty_set ),
inference(cnf,[status(esa)],[t18_yellow_1]) ).
thf(zip_derived_cl245,plain,
in @ sk__22 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl244,plain,
empty @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2736,plain,
sk__22 = empty_set,
inference('sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl244]) ).
thf(zip_derived_cl2790,plain,
in @ empty_set @ sk__21,
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl2736]) ).
thf(dt_k3_yellow_1,axiom,
! [A: $i] :
( ( rel_str @ ( boole_POSet @ A ) )
& ( strict_rel_str @ ( boole_POSet @ A ) ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] : ( rel_str @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
thf(fc1_waybel_7,axiom,
! [A: $i] :
( ( complete_relstr @ ( boole_POSet @ A ) )
& ( with_infima_relstr @ ( boole_POSet @ A ) )
& ( with_suprema_relstr @ ( boole_POSet @ A ) )
& ( boolean_relstr @ ( boole_POSet @ A ) )
& ( complemented_relstr @ ( boole_POSet @ A ) )
& ( heyting_relstr @ ( boole_POSet @ A ) )
& ( distributive_relstr @ ( boole_POSet @ A ) )
& ~ ( v1_yellow_3 @ ( boole_POSet @ A ) )
& ( join_complete_relstr @ ( boole_POSet @ A ) )
& ( up_complete_relstr @ ( boole_POSet @ A ) )
& ( bounded_relstr @ ( boole_POSet @ A ) )
& ( upper_bounded_relstr @ ( boole_POSet @ A ) )
& ( lower_bounded_relstr @ ( boole_POSet @ A ) )
& ( antisymmetric_relstr @ ( boole_POSet @ A ) )
& ( transitive_relstr @ ( boole_POSet @ A ) )
& ( reflexive_relstr @ ( boole_POSet @ A ) )
& ( strict_rel_str @ ( boole_POSet @ A ) )
& ~ ( empty_carrier @ ( boole_POSet @ A ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i] : ( lower_bounded_relstr @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_7]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] : ( antisymmetric_relstr @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_7]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] : ( transitive_relstr @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_7]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] : ( reflexive_relstr @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_7]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
~ ( empty_carrier @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_7]) ).
thf(zip_derived_cl3003,plain,
( ( ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) )
!= ( powerset @ ( the_carrier @ ( boole_POSet @ sk__20 ) ) ) )
| ( sk__21 != sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl3000,zip_derived_cl250,zip_derived_cl249,zip_derived_cl246,zip_derived_cl233,zip_derived_cl2790,zip_derived_cl53,zip_derived_cl69,zip_derived_cl68,zip_derived_cl67,zip_derived_cl66,zip_derived_cl64]) ).
thf(zip_derived_cl3004,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU387+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sy7v9MKWhL true
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 15:56:14 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.24/0.65 % Total configuration time : 435
% 0.24/0.65 % Estimated wc time : 1092
% 0.24/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.92 % Solved by fo/fo3_bce.sh.
% 1.38/0.92 % BCE start: 251
% 1.38/0.92 % BCE eliminated: 32
% 1.38/0.92 % PE start: 219
% 1.38/0.92 logic: eq
% 1.38/0.92 % PE eliminated: -13
% 1.38/0.92 % done 258 iterations in 0.127s
% 1.38/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.92 % SZS output start Refutation
% See solution above
% 1.38/0.92
% 1.38/0.92
% 1.38/0.92 % Terminating...
% 1.53/0.97 % Runner terminated.
% 1.53/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------