TSTP Solution File: SWV381+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV381+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.wScLAA7PKu true
% Computer : n022.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 00:09:29 EDT 2023
% Result : Theorem 0.58s 0.89s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of formulae : 57 ( 13 unt; 18 typ; 0 def)
% Number of atoms : 77 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 360 ( 23 ~; 28 |; 2 &; 299 @)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 72 ( 0 ^; 71 !; 1 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(contains_cpq_type,type,
contains_cpq: $i > $i > $o ).
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(findmin_cpq_res_type,type,
findmin_cpq_res: $i > $i ).
thf(create_pq_type,type,
create_pq: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(contains_pq_type,type,
contains_pq: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(issmallestelement_pq_type,type,
issmallestelement_pq: $i > $i > $o ).
thf(i_type,type,
i: $i > $i ).
thf(create_slb_type,type,
create_slb: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(findmin_pqp_res_type,type,
findmin_pqp_res: $i > $i ).
thf(bottom_type,type,
bottom: $i ).
thf(phi_type,type,
phi: $i > $o ).
thf(findmin_cpq_eff_type,type,
findmin_cpq_eff: $i > $i ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(l17_co,conjecture,
! [U: $i,V: $i,W: $i] :
( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ( issmallestelement_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i] :
( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
=> ( issmallestelement_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ),
inference('cnf.neg',[status(esa)],[l17_co]) ).
thf(zip_derived_cl90,plain,
~ ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax10,axiom,
! [U: $i,V: $i] :
( ( issmallestelement_pq @ U @ V )
<=> ! [W: $i] :
( ( contains_pq @ U @ W )
=> ( less_than @ V @ W ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( issmallestelement_pq @ X0 @ X1 )
| ( contains_pq @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax10]) ).
thf(l17_li56,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( contains_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
| ~ ( contains_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
inference(cnf,[status(esa)],[l17_li56]) ).
thf(ax51,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( V != create_slb )
=> ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
= ( findmin_pqp_res @ U ) ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
= ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb ) ),
inference(cnf,[status(esa)],[ax51]) ).
thf(zip_derived_cl89,plain,
phi @ ( findmin_cpq_eff @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(l17_l18,axiom,
! [U: $i,V: $i,W: $i] :
( ? [X: $i] :
( ( strictly_less_than @ X @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) )
& ( contains_cpq @ ( triple @ U @ V @ W ) @ X ) )
=> ~ ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) )
| ~ ( contains_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
| ~ ( strictly_less_than @ X3 @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[l17_l18]) ).
thf(zip_derived_cl433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( less_than @ X3 @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) )
| ( less_than @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) @ X3 )
| ~ ( contains_cpq @ ( triple @ X2 @ X1 @ X0 ) @ X3 )
| ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl88]) ).
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_cl936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
| ~ ( contains_cpq @ ( triple @ X2 @ X1 @ X0 ) @ X3 )
| ( less_than @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) @ X3 ) ),
inference(clc,[status(thm)],[zip_derived_cl433,zip_derived_cl1]) ).
thf(zip_derived_cl937,plain,
! [X0: $i] :
( ~ ( contains_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ X0 )
| ( less_than @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl936]) ).
thf(zip_derived_cl969,plain,
! [X0: $i] :
( ( sk__5 = create_slb )
| ~ ( contains_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ X0 )
| ( less_than @ ( findmin_pqp_res @ sk__4 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl937]) ).
thf(zip_derived_cl981,plain,
! [X0: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ X0 )
| ( sk__5 = create_slb )
| ( less_than @ ( findmin_pqp_res @ sk__4 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl969]) ).
thf(zip_derived_cl1016,plain,
! [X0: $i] :
( ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ X0 )
| ( sk__5 = create_slb )
| ( less_than @ ( findmin_pqp_res @ sk__4 ) @ ( sk_ @ X0 @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl981]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( issmallestelement_pq @ X0 @ X1 )
| ~ ( less_than @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl1033,plain,
( ( sk__5 = create_slb )
| ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_pqp_res @ sk__4 ) )
| ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_pqp_res @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1016,zip_derived_cl14]) ).
thf(zip_derived_cl1034,plain,
( ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_pqp_res @ sk__4 ) )
| ( sk__5 = create_slb ) ),
inference(simplify,[status(thm)],[zip_derived_cl1033]) ).
thf(zip_derived_cl63_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
= ( findmin_pqp_res @ X0 ) )
| ( X1 = create_slb ) ),
inference(cnf,[status(esa)],[ax51]) ).
thf(zip_derived_cl90_002,plain,
~ ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_cpq_res @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl503,plain,
( ( sk__5 = create_slb )
| ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ ( findmin_pqp_res @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl90]) ).
thf(zip_derived_cl1035,plain,
sk__5 = create_slb,
inference(clc,[status(thm)],[zip_derived_cl1034,zip_derived_cl503]) ).
thf(ax54,axiom,
! [U: $i,V: $i] :
( ( i @ ( triple @ U @ create_slb @ V ) )
= create_pq ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( i @ ( triple @ X0 @ create_slb @ X1 ) )
= create_pq ),
inference(cnf,[status(esa)],[ax54]) ).
thf(zip_derived_cl1035_003,plain,
sk__5 = create_slb,
inference(clc,[status(thm)],[zip_derived_cl1034,zip_derived_cl503]) ).
thf(ax50,axiom,
! [U: $i,V: $i] :
( ( findmin_cpq_res @ ( triple @ U @ create_slb @ V ) )
= bottom ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( findmin_cpq_res @ ( triple @ X0 @ create_slb @ X1 ) )
= bottom ),
inference(cnf,[status(esa)],[ax50]) ).
thf(zip_derived_cl15_004,plain,
! [X0: $i,X1: $i] :
( ( issmallestelement_pq @ X0 @ X1 )
| ( contains_pq @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[ax10]) ).
thf(ax8,axiom,
! [U: $i] :
~ ( contains_pq @ create_pq @ U ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
~ ( contains_pq @ create_pq @ X0 ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl508,plain,
! [X0: $i] : ( issmallestelement_pq @ create_pq @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl9]) ).
thf(zip_derived_cl1037,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl1035,zip_derived_cl66,zip_derived_cl1035,zip_derived_cl62,zip_derived_cl508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wScLAA7PKu true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:39:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.89 % Solved by fo/fo6_bce.sh.
% 0.58/0.89 % BCE start: 91
% 0.58/0.89 % BCE eliminated: 0
% 0.58/0.89 % PE start: 91
% 0.58/0.89 logic: eq
% 0.58/0.89 % PE eliminated: 14
% 0.58/0.89 % done 184 iterations in 0.162s
% 0.58/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.89 % SZS output start Refutation
% See solution above
% 0.58/0.89
% 0.58/0.89
% 0.58/0.89 % Terminating...
% 0.60/0.94 % Runner terminated.
% 0.60/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------