TSTP Solution File: SWV409+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV409+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.Y7tnSFMsgx true
% Computer : n012.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 00:09:36 EDT 2023
% Result : Theorem 1.31s 1.18s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 48 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 94 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 370 ( 41 ~; 40 |; 10 &; 273 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 63 ( 0 ^; 59 !; 4 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(update_slb_type,type,
update_slb: $i > $i > $i ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(contains_slb_type,type,
contains_slb: $i > $i > $o ).
thf(l45_li4647,axiom,
! [U: $i,V: $i] :
( ( contains_slb @ U @ V )
=> ? [W: $i] : ( pair_in_list @ U @ V @ W ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( pair_in_list @ X0 @ X1 @ ( sk_ @ X1 @ X0 ) )
| ~ ( contains_slb @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l45_li4647]) ).
thf(l45_l49,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( pair_in_list @ U @ V @ W )
& ( strictly_less_than @ V @ X )
& ( less_than @ X @ W ) )
=> ? [Y: $i] :
( ( less_than @ X @ Y )
& ( pair_in_list @ ( update_slb @ U @ X ) @ V @ Y ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ~ ( strictly_less_than @ X1 @ X3 )
| ~ ( less_than @ X3 @ X2 )
| ( less_than @ X3 @ ( sk__1 @ X3 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[l45_l49]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ( less_than @ X2 @ ( sk__1 @ X2 @ X1 @ X0 ) )
| ~ ( less_than @ X2 @ ( sk_ @ X1 @ X0 ) )
| ~ ( strictly_less_than @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl27]) ).
thf(zip_derived_cl25_001,plain,
! [X0: $i,X1: $i] :
( ( pair_in_list @ X0 @ X1 @ ( sk_ @ X1 @ X0 ) )
| ~ ( contains_slb @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l45_li4647]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ~ ( strictly_less_than @ X1 @ X3 )
| ~ ( less_than @ X3 @ X2 )
| ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ ( sk__1 @ X3 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[l45_l49]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ ( sk__1 @ X2 @ X1 @ X0 ) )
| ~ ( less_than @ X2 @ ( sk_ @ X1 @ X0 ) )
| ~ ( strictly_less_than @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl28]) ).
thf(l45_co,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[l45_co]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( less_than @ sk__4 @ X0 )
| ~ ( pair_in_list @ ( update_slb @ sk__2 @ sk__4 ) @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1483,plain,
( ~ ( strictly_less_than @ sk__3 @ sk__4 )
| ~ ( less_than @ sk__4 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( contains_slb @ sk__2 @ sk__3 )
| ~ ( less_than @ sk__4 @ ( sk__1 @ sk__4 @ sk__3 @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
strictly_less_than @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( less_than @ X0 @ X1 )
| ( less_than @ X0 @ X1 )
| ( strictly_less_than @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ( strictly_less_than @ X1 @ X0 )
| ( less_than @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl25_002,plain,
! [X0: $i,X1: $i] :
( ( pair_in_list @ X0 @ X1 @ ( sk_ @ X1 @ X0 ) )
| ~ ( contains_slb @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l45_li4647]) ).
thf(l45_l48,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( pair_in_list @ U @ V @ W )
& ( strictly_less_than @ V @ X )
& ( strictly_less_than @ W @ X ) )
=> ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ~ ( strictly_less_than @ X1 @ X3 )
| ~ ( strictly_less_than @ X2 @ X3 )
| ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[l45_l48]) ).
thf(zip_derived_cl151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( contains_slb @ X0 @ X1 )
| ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ X2 )
| ~ ( strictly_less_than @ ( sk_ @ X1 @ X0 ) @ X2 )
| ~ ( strictly_less_than @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl26]) ).
thf(zip_derived_cl29_003,plain,
! [X0: $i] :
( ~ ( less_than @ sk__4 @ X0 )
| ~ ( pair_in_list @ ( update_slb @ sk__2 @ sk__4 ) @ sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
( ~ ( strictly_less_than @ sk__3 @ sk__4 )
| ~ ( strictly_less_than @ ( sk_ @ sk__3 @ sk__2 ) @ sk__4 )
| ~ ( contains_slb @ sk__2 @ sk__3 )
| ~ ( less_than @ sk__4 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl29]) ).
thf(zip_derived_cl31_004,plain,
strictly_less_than @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
contains_slb @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(reflexivity,axiom,
! [U: $i] : ( less_than @ U @ U ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] : ( less_than @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl196,plain,
~ ( strictly_less_than @ ( sk_ @ sk__3 @ sk__2 ) @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl31,zip_derived_cl32,zip_derived_cl2]) ).
thf(zip_derived_cl198,plain,
less_than @ sk__4 @ ( sk_ @ sk__3 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl196]) ).
thf(zip_derived_cl32_005,plain,
contains_slb @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1489,plain,
~ ( less_than @ sk__4 @ ( sk__1 @ sk__4 @ sk__3 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1483,zip_derived_cl31,zip_derived_cl198,zip_derived_cl32]) ).
thf(zip_derived_cl1504,plain,
( ~ ( strictly_less_than @ sk__3 @ sk__4 )
| ~ ( less_than @ sk__4 @ ( sk_ @ sk__3 @ sk__2 ) )
| ~ ( contains_slb @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl1489]) ).
thf(zip_derived_cl31_006,plain,
strictly_less_than @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198_007,plain,
less_than @ sk__4 @ ( sk_ @ sk__3 @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl196]) ).
thf(zip_derived_cl32_008,plain,
contains_slb @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1509,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1504,zip_derived_cl31,zip_derived_cl198,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV409+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Y7tnSFMsgx true
% 0.13/0.36 % Computer : n012.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 03:15:24 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/1.18 % Solved by fo/fo4.sh.
% 1.31/1.18 % done 350 iterations in 0.330s
% 1.31/1.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/1.18 % SZS output start Refutation
% See solution above
% 1.31/1.18
% 1.31/1.18
% 1.31/1.18 % Terminating...
% 1.67/1.28 % Runner terminated.
% 1.67/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------