TSTP Solution File: SEU361+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU361+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.09ZPuLRgv6 true
% Computer : n029.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 19:12:24 EDT 2023
% Result : Theorem 1.25s 0.76s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 64 ( 16 unt; 22 typ; 0 def)
% Number of atoms : 134 ( 17 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 437 ( 54 ~; 41 |; 23 &; 291 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(bottom_of_relstr_type,type,
bottom_of_relstr: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(lower_bounded_relstr_type,type,
lower_bounded_relstr: $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(ex_sup_of_relstr_set_type,type,
ex_sup_of_relstr_set: $i > $i > $o ).
thf(relstr_set_smaller_type,type,
relstr_set_smaller: $i > $i > $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(ex_inf_of_relstr_set_type,type,
ex_inf_of_relstr_set: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(join_on_relstr_type,type,
join_on_relstr: $i > $i > $i ).
thf(relstr_element_smaller_type,type,
relstr_element_smaller: $i > $i > $i > $o ).
thf(d11_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( ( bottom_of_relstr @ A )
= ( join_on_relstr @ A @ empty_set ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( bottom_of_relstr @ X0 )
= ( join_on_relstr @ X0 @ empty_set ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d11_yellow_0]) ).
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_cl42,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(t44_yellow_0,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( antisymmetric_relstr @ A )
& ( lower_bounded_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( related @ A @ ( bottom_of_relstr @ A ) @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( antisymmetric_relstr @ A )
& ( lower_bounded_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( related @ A @ ( bottom_of_relstr @ A ) @ B ) ) ),
inference('cnf.neg',[status(esa)],[t44_yellow_0]) ).
thf(zip_derived_cl36,plain,
lower_bounded_relstr @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t42_yellow_0,axiom,
! [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(zip_derived_cl32,plain,
! [X0: $i] :
( ( ex_sup_of_relstr_set @ X0 @ empty_set )
| ~ ( rel_str @ X0 )
| ~ ( lower_bounded_relstr @ X0 )
| ~ ( antisymmetric_relstr @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[t42_yellow_0]) ).
thf(zip_derived_cl197,plain,
( ( empty_carrier @ sk__8 )
| ~ ( antisymmetric_relstr @ sk__8 )
| ~ ( rel_str @ sk__8 )
| ( ex_sup_of_relstr_set @ sk__8 @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl36,zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
~ ( empty_carrier @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
( ( sk__8 != sk__8 )
| ( ex_sup_of_relstr_set @ sk__8 @ empty_set )
| ~ ( rel_str @ sk__8 )
| ~ ( antisymmetric_relstr @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl197,zip_derived_cl34]) ).
thf(zip_derived_cl267,plain,
( ~ ( antisymmetric_relstr @ sk__8 )
| ~ ( rel_str @ sk__8 )
| ( ex_sup_of_relstr_set @ sk__8 @ empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl35,plain,
antisymmetric_relstr @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
rel_str @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl268,plain,
ex_sup_of_relstr_set @ sk__8 @ empty_set,
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl35,zip_derived_cl37]) ).
thf(dt_k3_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ( element @ ( bottom_of_relstr @ A ) @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( element @ ( bottom_of_relstr @ X0 ) @ ( the_carrier @ X0 ) )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_k3_yellow_0]) ).
thf(t30_yellow_0,axiom,
! [A: $i] :
( ( ( rel_str @ A )
& ( antisymmetric_relstr @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( ex_sup_of_relstr_set @ A @ C )
& ( B
= ( join_on_relstr @ A @ C ) ) )
=> ( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) )
& ( relstr_set_smaller @ A @ C @ B ) ) )
& ( ( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) )
& ( relstr_set_smaller @ A @ C @ B ) )
=> ( ( ex_sup_of_relstr_set @ A @ C )
& ( B
= ( join_on_relstr @ A @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_2 @ C @ B @ A )
=> ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( element @ D @ ( the_carrier @ A ) )
=> ( zip_tseitin_0 @ D @ C @ B @ A ) )
=> ( zip_tseitin_1 @ D @ C @ B @ A ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) )
=> ( zip_tseitin_0 @ D @ C @ B @ A ) ) ).
thf(zf_stmt_7,axiom,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] : ( zip_tseitin_1 @ D @ C @ B @ A ) )
=> ( zip_tseitin_2 @ C @ B @ A ) )
& ( ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) )
=> ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( X0
!= ( join_on_relstr @ X1 @ X2 ) )
| ~ ( ex_sup_of_relstr_set @ X1 @ X2 )
| ~ ( relstr_set_smaller @ X1 @ X2 @ X3 )
| ( related @ X1 @ X0 @ X3 )
| ~ ( element @ X3 @ ( the_carrier @ X1 ) )
| ~ ( rel_str @ X1 )
| ~ ( antisymmetric_relstr @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl38,plain,
~ ( related @ sk__8 @ ( bottom_of_relstr @ sk__8 ) @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] :
( ~ ( antisymmetric_relstr @ sk__8 )
| ~ ( rel_str @ sk__8 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
| ~ ( ex_sup_of_relstr_set @ sk__8 @ X0 )
| ( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ X0 ) )
| ~ ( element @ ( bottom_of_relstr @ sk__8 ) @ ( the_carrier @ sk__8 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl38]) ).
thf(zip_derived_cl35_001,plain,
antisymmetric_relstr @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_002,plain,
rel_str @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
element @ sk__9 @ ( the_carrier @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl269,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
| ~ ( ex_sup_of_relstr_set @ sk__8 @ X0 )
| ( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ X0 ) )
| ~ ( element @ ( bottom_of_relstr @ sk__8 ) @ ( the_carrier @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl35,zip_derived_cl37,zip_derived_cl39]) ).
thf(zip_derived_cl270,plain,
! [X0: $i] :
( ~ ( rel_str @ sk__8 )
| ~ ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
| ~ ( ex_sup_of_relstr_set @ sk__8 @ X0 )
| ( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl269]) ).
thf(zip_derived_cl37_003,plain,
rel_str @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl274,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__8 @ X0 @ sk__9 )
| ~ ( ex_sup_of_relstr_set @ sk__8 @ X0 )
| ( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl37]) ).
thf(zip_derived_cl289,plain,
( ~ ( relstr_set_smaller @ sk__8 @ empty_set @ sk__9 )
| ( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ empty_set ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl274]) ).
thf(zip_derived_cl302,plain,
( ~ ( rel_str @ sk__8 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__8 ) )
| ( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ empty_set ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl289]) ).
thf(zip_derived_cl37_004,plain,
rel_str @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39_005,plain,
element @ sk__9 @ ( the_carrier @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl304,plain,
( ( bottom_of_relstr @ sk__8 )
!= ( join_on_relstr @ sk__8 @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl37,zip_derived_cl39]) ).
thf(zip_derived_cl307,plain,
( ~ ( rel_str @ sk__8 )
| ( ( join_on_relstr @ sk__8 @ empty_set )
!= ( join_on_relstr @ sk__8 @ empty_set ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl304]) ).
thf(zip_derived_cl37_006,plain,
rel_str @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308,plain,
( ( join_on_relstr @ sk__8 @ empty_set )
!= ( join_on_relstr @ sk__8 @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl37]) ).
thf(zip_derived_cl309,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU361+1 : 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.09ZPuLRgv6 true
% 0.16/0.35 % Computer : n029.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Wed Aug 23 19:25:52 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.25/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.25/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.25/0.76 % Solved by fo/fo6_bce.sh.
% 1.25/0.76 % BCE start: 45
% 1.25/0.76 % BCE eliminated: 4
% 1.25/0.76 % PE start: 41
% 1.25/0.76 logic: eq
% 1.25/0.76 % PE eliminated: 2
% 1.25/0.76 % done 50 iterations in 0.033s
% 1.25/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/0.76 % SZS output start Refutation
% See solution above
% 1.25/0.76
% 1.25/0.76
% 1.25/0.76 % Terminating...
% 1.43/0.85 % Runner terminated.
% 1.43/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------