TSTP Solution File: SWV379+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV379+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.CwQNai4kvc true
% Computer : n005.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 : Fri Sep 1 00:09:28 EDT 2023
% Result : Theorem 1.49s 0.85s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 57 ( 16 unt; 14 typ; 0 def)
% Number of atoms : 97 ( 45 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 481 ( 30 ~; 41 |; 6 &; 397 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 79 ( 0 ^; 79 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(findmin_pqp_res_type,type,
findmin_pqp_res: $i > $i ).
thf(create_slb_type,type,
create_slb: $i ).
thf(findmin_cpq_eff_type,type,
findmin_cpq_eff: $i > $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(bad_type,type,
bad: $i ).
thf(update_slb_type,type,
update_slb: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(ok_type,type,
ok: $i > $o ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(lookup_slb_type,type,
lookup_slb: $i > $i > $i ).
thf(contains_slb_type,type,
contains_slb: $i > $i > $o ).
thf(l15_co,conjecture,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ~ ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ~ ( ok @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ),
inference('cnf.neg',[status(esa)],[l15_co]) ).
thf(zip_derived_cl51,plain,
ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax41,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = bad )
| ( ok @ ( triple @ X1 @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax41]) ).
thf(zip_derived_cl50,plain,
~ ( ok @ ( triple @ sk_ @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
sk__2 = bad,
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl50]) ).
thf(zip_derived_cl231,plain,
ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl227]) ).
thf(zip_derived_cl231_001,plain,
ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl227]) ).
thf(stricly_smaller_definition,axiom,
! [U: $i,V: $i] :
( ( strictly_less_than @ U @ V )
<=> ( ( less_than @ U @ V )
& ~ ( less_than @ V @ U ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 )
| ~ ( less_than @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(ax48,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( strictly_less_than @ ( findmin_pqp_res @ U ) @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
| ~ ( strictly_less_than @ ( findmin_pqp_res @ X0 ) @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) )
| ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb ) ),
inference(cnf,[status(esa)],[ax48]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( less_than @ ( findmin_pqp_res @ X0 ) @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) )
| ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb )
| ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl44]) ).
thf(totality,axiom,
! [U: $i,V: $i] :
( ( less_than @ V @ U )
| ( less_than @ U @ V ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[totality]) ).
thf(zip_derived_cl522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
| ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb )
| ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl217,zip_derived_cl1]) ).
thf(ax47,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ~ ( contains_slb @ V @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ bad ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb ) ),
inference(cnf,[status(esa)],[ax47]) ).
thf(zip_derived_cl523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) ) ),
inference(clc,[status(thm)],[zip_derived_cl522,zip_derived_cl43]) ).
thf(zip_derived_cl231_002,plain,
ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl227]) ).
thf(zip_derived_cl43_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ bad ) )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb ) ),
inference(cnf,[status(esa)],[ax47]) ).
thf(ax40,axiom,
! [U: $i,V: $i] :
~ ( ok @ ( triple @ U @ V @ bad ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = create_slb )
| ( contains_slb @ X1 @ ( findmin_pqp_res @ X2 ) )
| ~ ( ok @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl36]) ).
thf(zip_derived_cl361,plain,
( ( sk__1 = create_slb )
| ( contains_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl322]) ).
thf(ax49,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( V != create_slb )
& ( contains_slb @ V @ ( findmin_pqp_res @ U ) )
& ( less_than @ ( lookup_slb @ V @ ( findmin_pqp_res @ U ) ) @ ( findmin_pqp_res @ U ) ) )
=> ( ( findmin_cpq_eff @ ( triple @ U @ V @ W ) )
= ( triple @ U @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ W ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) )
= ( triple @ X0 @ ( update_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ X2 ) )
| ~ ( less_than @ ( lookup_slb @ X1 @ ( findmin_pqp_res @ X0 ) ) @ ( findmin_pqp_res @ X0 ) )
| ~ ( contains_slb @ X1 @ ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb ) ),
inference(cnf,[status(esa)],[ax49]) ).
thf(zip_derived_cl370,plain,
! [X0: $i] :
( ( sk__1 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X0 ) )
| ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) )
| ( sk__1 = create_slb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl45]) ).
thf(zip_derived_cl371,plain,
! [X0: $i] :
( ~ ( less_than @ ( lookup_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ ( findmin_pqp_res @ sk_ ) )
| ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X0 ) )
| ( sk__1 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl370]) ).
thf(zip_derived_cl527,plain,
! [X0: $i,X1: $i] :
( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) )
| ( sk__1 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X1 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X1 ) )
| ( sk__1 = create_slb ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl523,zip_derived_cl371]) ).
thf(zip_derived_cl575,plain,
! [X0: $i,X1: $i] :
( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X1 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ X1 ) )
| ( sk__1 = create_slb )
| ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl527]) ).
thf(zip_derived_cl36_004,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl635,plain,
! [X0: $i] :
( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) )
| ( sk__1 = create_slb )
| ~ ( ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl36]) ).
thf(zip_derived_cl231_005,plain,
ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ bad ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl227]) ).
thf(zip_derived_cl697,plain,
! [X0: $i] :
( ( ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) )
= ( triple @ sk_ @ ( update_slb @ sk__1 @ ( findmin_pqp_res @ sk_ ) ) @ bad ) )
| ( sk__1 = create_slb ) ),
inference(demod,[status(thm)],[zip_derived_cl635,zip_derived_cl231]) ).
thf(zip_derived_cl36_006,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl743,plain,
! [X0: $i] :
( ( sk__1 = create_slb )
| ~ ( ok @ ( findmin_cpq_eff @ ( triple @ sk_ @ sk__1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl36]) ).
thf(zip_derived_cl779,plain,
sk__1 = create_slb,
inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl743]) ).
thf(ax46,axiom,
! [U: $i,V: $i] :
( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
= ( triple @ U @ create_slb @ bad ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( findmin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
= ( triple @ X0 @ create_slb @ bad ) ),
inference(cnf,[status(esa)],[ax46]) ).
thf(zip_derived_cl36_007,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl790,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl779,zip_derived_cl42,zip_derived_cl36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV379+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CwQNai4kvc true
% 0.15/0.34 % Computer : n005.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 29 05:22:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % 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
% 0.22/0.70 % /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
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.49/0.85 % Solved by fo/fo6_bce.sh.
% 1.49/0.85 % BCE start: 52
% 1.49/0.85 % BCE eliminated: 0
% 1.49/0.85 % PE start: 52
% 1.49/0.85 logic: eq
% 1.49/0.85 % PE eliminated: 5
% 1.49/0.85 % done 114 iterations in 0.122s
% 1.49/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.49/0.85 % SZS output start Refutation
% See solution above
% 1.49/0.85
% 1.49/0.85
% 1.49/0.85 % Terminating...
% 1.68/0.95 % Runner terminated.
% 1.68/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------