TSTP Solution File: SWV408+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV408+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QBaFXU9ilA true
% Computer : n003.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 00:09:35 EDT 2023
% Result : Theorem 0.55s 0.83s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 78 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 356 ( 27 ~; 35 |; 7 &; 282 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 46 ( 0 ^; 43 !; 3 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
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_res_type,type,
findmin_cpq_res: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(update_slb_type,type,
update_slb: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(contains_slb_type,type,
contains_slb: $i > $i > $o ).
thf(l44_co,conjecture,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( strictly_less_than @ X @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) )
=> ( ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ ( findmin_pqp_res @ U ) )
| ? [Y: $i] :
( ( less_than @ ( findmin_pqp_res @ U ) @ Y )
& ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ Y ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( strictly_less_than @ X @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) )
=> ( ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ ( findmin_pqp_res @ U ) )
| ? [Y: $i] :
( ( less_than @ ( findmin_pqp_res @ U ) @ Y )
& ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ Y ) ) ) ),
inference('cnf.neg',[status(esa)],[l44_co]) ).
thf(zip_derived_cl52,plain,
contains_slb @ sk__2 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl47,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_cl53,plain,
strictly_less_than @ sk__4 @ ( findmin_cpq_res @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl288,plain,
( ( sk__2 = create_slb )
| ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl53]) ).
thf(l44_l45,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( contains_slb @ U @ V )
& ( strictly_less_than @ V @ W ) )
=> ( ( pair_in_list @ ( update_slb @ U @ W ) @ V @ W )
| ? [X: $i] :
( ( less_than @ W @ X )
& ( pair_in_list @ ( update_slb @ U @ W ) @ V @ X ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ~ ( strictly_less_than @ X1 @ X2 )
| ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ X2 )
| ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ ( sk_ @ X2 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[l44_l45]) ).
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(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_cl262,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X1 @ X0 )
| ( strictly_less_than @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ~ ( strictly_less_than @ X1 @ X2 )
| ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ X2 )
| ( less_than @ X2 @ ( sk_ @ X2 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[l44_l45]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ~ ( less_than @ ( findmin_pqp_res @ sk__1 ) @ X0 )
| ~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl527,plain,
! [X0: $i,X1: $i] :
( ( pair_in_list @ ( update_slb @ X0 @ ( findmin_pqp_res @ sk__1 ) ) @ X1 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( strictly_less_than @ X1 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( contains_slb @ X0 @ X1 )
| ~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl55]) ).
thf(zip_derived_cl530,plain,
! [X0: $i,X1: $i] :
( ( less_than @ ( findmin_pqp_res @ sk__1 ) @ X0 )
| ( pair_in_list @ ( update_slb @ X1 @ ( findmin_pqp_res @ sk__1 ) ) @ X0 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( contains_slb @ X1 @ X0 )
| ~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl527]) ).
thf(zip_derived_cl557,plain,
( ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( contains_slb @ sk__2 @ sk__4 )
| ( less_than @ ( findmin_pqp_res @ sk__1 ) @ sk__4 )
| ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( contains_slb @ sk__2 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl530]) ).
thf(zip_derived_cl52_001,plain,
contains_slb @ sk__2 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52_002,plain,
contains_slb @ sk__2 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl558,plain,
( ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ( less_than @ ( findmin_pqp_res @ sk__1 ) @ sk__4 )
| ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl52,zip_derived_cl52]) ).
thf(zip_derived_cl559,plain,
( ( less_than @ ( findmin_pqp_res @ sk__1 ) @ sk__4 )
| ~ ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl558]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( less_than @ X0 @ X1 )
| ~ ( strictly_less_than @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[stricly_smaller_definition]) ).
thf(zip_derived_cl609,plain,
( ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
| ~ ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl559,zip_derived_cl4]) ).
thf(zip_derived_cl54,plain,
~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl610,plain,
~ ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl609,zip_derived_cl54]) ).
thf(zip_derived_cl612,plain,
sk__2 = create_slb,
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl610]) ).
thf(ax20,axiom,
! [U: $i] :
~ ( contains_slb @ create_slb @ U ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
~ ( contains_slb @ create_slb @ X0 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl621,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl612,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV408+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QBaFXU9ilA true
% 0.13/0.34 % Computer : n003.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 09:24:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.83 % Solved by fo/fo6_bce.sh.
% 0.55/0.83 % BCE start: 56
% 0.55/0.83 % BCE eliminated: 0
% 0.55/0.83 % PE start: 56
% 0.55/0.83 logic: eq
% 0.55/0.83 % PE eliminated: 3
% 0.55/0.83 % done 137 iterations in 0.116s
% 0.55/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.83 % SZS output start Refutation
% See solution above
% 0.55/0.84
% 0.55/0.84
% 0.55/0.84 % Terminating...
% 0.56/0.94 % Runner terminated.
% 1.82/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------