TSTP Solution File: SWV394+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV394+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.eCsI19x4M0 true
% Computer : n008.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 00:09:32 EDT 2023
% Result : Theorem 26.09s 4.33s
% Output : Refutation 26.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 62 ( 17 unt; 17 typ; 0 def)
% Number of atoms : 93 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 466 ( 28 ~; 30 |; 7 &; 390 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 94 ( 0 ^; 94 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
strictly_less_than: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(check_cpq_type,type,
check_cpq: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(less_than_type,type,
less_than: $i > $i > $o ).
thf(bad_type,type,
bad: $i ).
thf(remove_slb_type,type,
remove_slb: $i > $i > $i ).
thf(remove_cpq_type,type,
remove_cpq: $i > $i > $i ).
thf(pair_in_list_type,type,
pair_in_list: $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(ok_type,type,
ok: $i > $o ).
thf(triple_type,type,
triple: $i > $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(lookup_slb_type,type,
lookup_slb: $i > $i > $i ).
thf(contains_slb_type,type,
contains_slb: $i > $i > $o ).
thf(remove_pqp_type,type,
remove_pqp: $i > $i > $i ).
thf(l30_co,conjecture,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( check_cpq @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
& ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) )
=> ! [Y: $i] :
( ( pair_in_list @ V @ X @ Y )
=> ( less_than @ Y @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( check_cpq @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
& ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) )
=> ! [Y: $i] :
( ( pair_in_list @ V @ X @ Y )
=> ( less_than @ Y @ X ) ) ),
inference('cnf.neg',[status(esa)],[l30_co]) ).
thf(zip_derived_cl57,plain,
pair_in_list @ sk__3 @ 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(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_cl58,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_cl55,plain,
ok @ ( remove_cpq @ ( triple @ sk__2 @ sk__3 @ sk__4 ) @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l30_li3132,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( pair_in_list @ V @ X @ Y )
& ( strictly_less_than @ X @ Y )
& ( ok @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) ) )
=> ( pair_in_list @ ( remove_slb @ V @ X ) @ X @ Y ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( ok @ ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 ) )
| ~ ( pair_in_list @ X1 @ X3 @ X4 )
| ~ ( strictly_less_than @ X3 @ X4 )
| ( pair_in_list @ ( remove_slb @ X1 @ X3 ) @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[l30_li3132]) ).
thf(zip_derived_cl468,plain,
! [X0: $i] :
( ~ ( pair_in_list @ sk__3 @ sk__5 @ X0 )
| ~ ( strictly_less_than @ sk__5 @ X0 )
| ( pair_in_list @ ( remove_slb @ sk__3 @ sk__5 ) @ sk__5 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl53]) ).
thf(zip_derived_cl513,plain,
! [X0: $i] :
( ( less_than @ X0 @ sk__5 )
| ~ ( pair_in_list @ sk__3 @ sk__5 @ X0 )
| ( pair_in_list @ ( remove_slb @ sk__3 @ sk__5 ) @ sk__5 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl468]) ).
thf(zip_derived_cl557,plain,
( ( less_than @ sk__6 @ sk__5 )
| ( pair_in_list @ ( remove_slb @ sk__3 @ sk__5 ) @ sk__5 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl513]) ).
thf(zip_derived_cl56,plain,
~ ( less_than @ sk__6 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl558,plain,
pair_in_list @ ( remove_slb @ sk__3 @ sk__5 ) @ sk__5 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl557,zip_derived_cl56]) ).
thf(ax43,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( contains_slb @ V @ X )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ U @ V @ bad ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 )
= ( triple @ X0 @ X1 @ bad ) )
| ( contains_slb @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ax43]) ).
thf(zip_derived_cl55_001,plain,
ok @ ( remove_cpq @ ( triple @ sk__2 @ sk__3 @ sk__4 ) @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ( contains_slb @ sk__3 @ sk__5 )
| ( ok @ ( triple @ sk__2 @ sk__3 @ bad ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl55]) ).
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_cl287,plain,
contains_slb @ sk__3 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl285,zip_derived_cl36]) ).
thf(zip_derived_cl58_002,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(ax45,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( strictly_less_than @ X @ ( lookup_slb @ V @ X ) ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ bad ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( remove_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
= ( triple @ ( remove_pqp @ X0 @ X1 ) @ ( remove_slb @ X2 @ X1 ) @ bad ) )
| ~ ( strictly_less_than @ X1 @ ( lookup_slb @ X2 @ X1 ) )
| ~ ( contains_slb @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ax45]) ).
thf(zip_derived_cl549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( less_than @ ( lookup_slb @ X1 @ X0 ) @ X0 )
| ( ( remove_cpq @ ( triple @ X3 @ X1 @ X2 ) @ X0 )
= ( triple @ ( remove_pqp @ X3 @ X0 ) @ ( remove_slb @ X1 @ X0 ) @ bad ) )
| ~ ( contains_slb @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl41]) ).
thf(zip_derived_cl12646,plain,
! [X0: $i,X1: $i] :
( ( less_than @ ( lookup_slb @ sk__3 @ sk__5 ) @ sk__5 )
| ( ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 )
= ( triple @ ( remove_pqp @ X1 @ sk__5 ) @ ( remove_slb @ sk__3 @ sk__5 ) @ bad ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl549]) ).
thf(zip_derived_cl36_003,plain,
! [X0: $i,X1: $i] :
~ ( ok @ ( triple @ X0 @ X1 @ bad ) ),
inference(cnf,[status(esa)],[ax40]) ).
thf(zip_derived_cl13618,plain,
! [X0: $i,X1: $i] :
( ( less_than @ ( lookup_slb @ sk__3 @ sk__5 ) @ sk__5 )
| ~ ( ok @ ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12646,zip_derived_cl36]) ).
thf(zip_derived_cl55_004,plain,
ok @ ( remove_cpq @ ( triple @ sk__2 @ sk__3 @ sk__4 ) @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13733,plain,
less_than @ ( lookup_slb @ sk__3 @ sk__5 ) @ sk__5,
inference('s_sup+',[status(thm)],[zip_derived_cl13618,zip_derived_cl55]) ).
thf(ax44,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( contains_slb @ V @ X )
& ( less_than @ ( lookup_slb @ V @ X ) @ X ) )
=> ( ( remove_cpq @ ( triple @ U @ V @ W ) @ X )
= ( triple @ ( remove_pqp @ U @ X ) @ ( remove_slb @ V @ X ) @ W ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( remove_cpq @ ( triple @ X0 @ X2 @ X3 ) @ X1 )
= ( triple @ ( remove_pqp @ X0 @ X1 ) @ ( remove_slb @ X2 @ X1 ) @ X3 ) )
| ~ ( less_than @ ( lookup_slb @ X2 @ X1 ) @ X1 )
| ~ ( contains_slb @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ax44]) ).
thf(zip_derived_cl13758,plain,
! [X0: $i,X1: $i] :
( ( ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 )
= ( triple @ ( remove_pqp @ X1 @ sk__5 ) @ ( remove_slb @ sk__3 @ sk__5 ) @ X0 ) )
| ~ ( contains_slb @ sk__3 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13733,zip_derived_cl40]) ).
thf(zip_derived_cl287_005,plain,
contains_slb @ sk__3 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl285,zip_derived_cl36]) ).
thf(zip_derived_cl13762,plain,
! [X0: $i,X1: $i] :
( ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 )
= ( triple @ ( remove_pqp @ X1 @ sk__5 ) @ ( remove_slb @ sk__3 @ sk__5 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13758,zip_derived_cl287]) ).
thf(l30_li4142,axiom,
! [U: $i,V: $i,W: $i] :
( ( check_cpq @ ( triple @ U @ V @ W ) )
<=> ! [X: $i,Y: $i] :
( ( pair_in_list @ V @ X @ Y )
=> ( less_than @ Y @ X ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( pair_in_list @ X0 @ X1 @ X2 )
| ( less_than @ X2 @ X1 )
| ~ ( check_cpq @ ( triple @ X3 @ X0 @ X4 ) ) ),
inference(cnf,[status(esa)],[l30_li4142]) ).
thf(zip_derived_cl14858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( pair_in_list @ ( remove_slb @ sk__3 @ sk__5 ) @ X3 @ X2 )
| ( less_than @ X2 @ X3 )
| ~ ( check_cpq @ ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13762,zip_derived_cl50]) ).
thf(zip_derived_cl15139,plain,
! [X0: $i,X1: $i] :
( ( less_than @ sk__6 @ sk__5 )
| ~ ( check_cpq @ ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl558,zip_derived_cl14858]) ).
thf(zip_derived_cl56_006,plain,
~ ( less_than @ sk__6 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15140,plain,
! [X0: $i,X1: $i] :
~ ( check_cpq @ ( remove_cpq @ ( triple @ X1 @ sk__3 @ X0 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl15139,zip_derived_cl56]) ).
thf(zip_derived_cl54,plain,
check_cpq @ ( remove_cpq @ ( triple @ sk__2 @ sk__3 @ sk__4 ) @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15141,plain,
$false,
inference('s_sup+',[status(thm)],[zip_derived_cl15140,zip_derived_cl54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV394+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eCsI19x4M0 true
% 0.18/0.36 % Computer : n008.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Tue Aug 29 06:54:02 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37 % Number of cores: 8
% 0.18/0.37 % Python version: Python 3.6.8
% 0.18/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.09/4.33 % Solved by fo/fo13.sh.
% 26.09/4.33 % done 2021 iterations in 3.532s
% 26.09/4.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.09/4.33 % SZS output start Refutation
% See solution above
% 26.09/4.33
% 26.09/4.33
% 26.09/4.33 % Terminating...
% 26.09/4.48 % Runner terminated.
% 26.09/4.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------