TSTP Solution File: SEU325+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU325+2 : 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.LF1H2iaat5 true
% Computer : n007.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 19:12:09 EDT 2023
% Result : Theorem 13.85s 2.64s
% Output : Refutation 13.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 67 ( 19 unt; 23 typ; 0 def)
% Number of atoms : 91 ( 23 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 268 ( 30 ~; 20 |; 14 &; 191 @)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 39 !; 1 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__193_type,type,
sk__193: $i ).
thf(union_type,type,
union: $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(sk__54_type,type,
sk__54: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(is_a_cover_of_carrier_type,type,
is_a_cover_of_carrier: $i > $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(finite_type,type,
finite: $i > $o ).
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(sk__194_type,type,
sk__194: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(union_of_subsets_type,type,
union_of_subsets: $i > $i > $i ).
thf(natural_type,type,
natural: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(function_type,type,
function: $i > $o ).
thf(fc2_pre_topc,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( cast_as_carrier_subset @ A ) ) ) ).
thf(zip_derived_cl183,plain,
! [X0: $i] :
( ~ ( empty @ ( cast_as_carrier_subset @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc2_pre_topc]) ).
thf(t5_tops_2,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ~ ( ( is_a_cover_of_carrier @ A @ B )
& ( B = empty_set ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ~ ( ( is_a_cover_of_carrier @ A @ B )
& ( B = empty_set ) ) ) ),
inference('cnf.neg',[status(esa)],[t5_tops_2]) ).
thf(zip_derived_cl733,plain,
~ ( empty_carrier @ sk__193 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4725,plain,
( ~ ( one_sorted_str @ sk__193 )
| ~ ( empty @ ( cast_as_carrier_subset @ sk__193 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl183,zip_derived_cl733]) ).
thf(zip_derived_cl734,plain,
one_sorted_str @ sk__193,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5352,plain,
~ ( empty @ ( cast_as_carrier_subset @ sk__193 ) ),
inference(demod,[status(thm)],[zip_derived_cl4725,zip_derived_cl734]) ).
thf(zip_derived_cl736,plain,
is_a_cover_of_carrier @ sk__193 @ sk__194,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d8_pre_topc,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( is_a_cover_of_carrier @ A @ B )
<=> ( ( cast_as_carrier_subset @ A )
= ( union_of_subsets @ ( the_carrier @ A ) @ B ) ) ) ) ) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ~ ( is_a_cover_of_carrier @ X1 @ X0 )
| ( ( cast_as_carrier_subset @ X1 )
= ( union_of_subsets @ ( the_carrier @ X1 ) @ X0 ) )
| ~ ( one_sorted_str @ X1 ) ),
inference(cnf,[status(esa)],[d8_pre_topc]) ).
thf(zip_derived_cl4180,plain,
( ~ ( one_sorted_str @ sk__193 )
| ( ( cast_as_carrier_subset @ sk__193 )
= ( union_of_subsets @ ( the_carrier @ sk__193 ) @ sk__194 ) )
| ~ ( element @ sk__194 @ ( powerset @ ( powerset @ ( the_carrier @ sk__193 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl736,zip_derived_cl144]) ).
thf(zip_derived_cl734_001,plain,
one_sorted_str @ sk__193,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735,plain,
sk__194 = empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735_002,plain,
sk__194 = empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(rc2_finset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( finite @ B )
& ( natural @ B )
& ( ordinal @ B )
& ( epsilon_connected @ B )
& ( epsilon_transitive @ B )
& ( one_to_one @ B )
& ( function @ B )
& ( relation @ B )
& ( empty @ B )
& ( element @ B @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl267,plain,
! [X0: $i] : ( element @ ( sk__54 @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[rc2_finset_1]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] : ( empty @ ( sk__54 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_finset_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl715,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl5381,plain,
! [X0: $i] :
( ( sk__54 @ X0 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl715]) ).
thf(zip_derived_cl5500,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl5381]) ).
thf(zip_derived_cl14453,plain,
( ( cast_as_carrier_subset @ sk__193 )
= ( union_of_subsets @ ( the_carrier @ sk__193 ) @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl4180,zip_derived_cl734,zip_derived_cl735,zip_derived_cl735,zip_derived_cl5500]) ).
thf(redefinition_k5_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ( union_of_subsets @ A @ B )
= ( union @ B ) ) ) ).
thf(zip_derived_cl298,plain,
! [X0: $i,X1: $i] :
( ( ( union_of_subsets @ X1 @ X0 )
= ( union @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).
thf(zip_derived_cl14455,plain,
( ( ( cast_as_carrier_subset @ sk__193 )
= ( union @ empty_set ) )
| ~ ( element @ empty_set @ ( powerset @ ( powerset @ ( the_carrier @ sk__193 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14453,zip_derived_cl298]) ).
thf(dt_k5_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( element @ ( union_of_subsets @ A @ B ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i] :
( ( element @ ( union_of_subsets @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k5_setfam_1]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl677,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(t3_xboole_1,axiom,
! [A: $i] :
( ( subset @ A @ empty_set )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl679,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(zip_derived_cl5707,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ empty_set ) )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl677,zip_derived_cl679]) ).
thf(zip_derived_cl8365,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ empty_set ) ) )
| ( ( union_of_subsets @ empty_set @ X0 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl5707]) ).
thf(zip_derived_cl298_003,plain,
! [X0: $i,X1: $i] :
( ( ( union_of_subsets @ X1 @ X0 )
= ( union @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).
thf(zip_derived_cl10113,plain,
! [X0: $i] :
( ( empty_set
= ( union @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ empty_set ) ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ empty_set ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8365,zip_derived_cl298]) ).
thf(zip_derived_cl10115,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ empty_set ) ) )
| ( empty_set
= ( union @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10113]) ).
thf(zip_derived_cl5500_004,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl5381]) ).
thf(zip_derived_cl10175,plain,
( empty_set
= ( union @ empty_set ) ),
inference('sup+',[status(thm)],[zip_derived_cl10115,zip_derived_cl5500]) ).
thf(zip_derived_cl5500_005,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl5381]) ).
thf(zip_derived_cl14458,plain,
( ( cast_as_carrier_subset @ sk__193 )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl14455,zip_derived_cl10175,zip_derived_cl5500]) ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl177,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl14460,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5352,zip_derived_cl14458,zip_derived_cl177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU325+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LF1H2iaat5 true
% 0.19/0.36 % Computer : n007.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Wed Aug 23 17:47:54 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.19/0.36 % Running portfolio for 300 s
% 0.19/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.37 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.85/2.64 % Solved by fo/fo3_bce.sh.
% 13.85/2.64 % BCE start: 738
% 13.85/2.64 % BCE eliminated: 22
% 13.85/2.64 % PE start: 716
% 13.85/2.64 logic: eq
% 13.85/2.64 % PE eliminated: -109
% 13.85/2.64 % done 1942 iterations in 1.881s
% 13.85/2.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.85/2.64 % SZS output start Refutation
% See solution above
% 13.85/2.64
% 13.85/2.64
% 13.85/2.64 % Terminating...
% 14.68/2.73 % Runner terminated.
% 14.68/2.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------