TSTP Solution File: NUM583+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM583+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kvC571V72o true
% Computer : n004.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 : Thu Aug 31 12:42:32 EDT 2023
% Result : Theorem 2.88s 1.03s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 44 ( 10 unt; 20 typ; 0 def)
% Number of atoms : 84 ( 8 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 441 ( 9 ~; 14 |; 24 &; 372 @)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xi_type,type,
xi: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sk__30_type,type,
sk__30: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xk_type,type,
xk: $i ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $i > $o ).
thf(xK_type,type,
xK: $i ).
thf(xN_type,type,
xN: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(m__,conjecture,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( aElementOf0 @ W0 @ xQ ) )
& ( aElement0 @ W0 ) ) )
& ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
=> ( ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ W0 @ xS ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_24: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_24 @ W0 )
<=> ( ( aElement0 @ W0 )
& ( ( aElementOf0 @ W0 @ xQ )
| ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ).
thf(zf_stmt_2,conjecture,
( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( zip_tseitin_24 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ W0 @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( zip_tseitin_24 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ W0 @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl274,plain,
~ ( aElementOf0 @ sk__30 @ xS ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl275,plain,
aElementOf0 @ sk__30 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(m__4007,axiom,
( ( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ W0 )
& ( ( aElementOf0 @ W0 @ xQ )
| ( W0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
& ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ).
thf(zip_derived_cl263,plain,
! [X0: $i] :
( ( X0
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( aElementOf0 @ X0 @ xQ )
| ~ ( aElementOf0 @ X0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(cnf,[status(esa)],[m__4007]) ).
thf(zip_derived_cl1809,plain,
( ( aElementOf0 @ sk__30 @ xQ )
| ( sk__30
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl263]) ).
thf(m__3989_02,axiom,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) )
& ( ( sbrdtbr0 @ xQ )
= xk )
& ( aSubsetOf0 @ xQ @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ xQ )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( W0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ).
thf(zip_derived_cl245,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(m__4037,axiom,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( aElementOf0 @ W0 @ xS ) ) ) ).
thf(zip_derived_cl265,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(cnf,[status(esa)],[m__4037]) ).
thf(zip_derived_cl519,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ xS,
inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl265]) ).
thf(zip_derived_cl1838,plain,
( ( aElementOf0 @ sk__30 @ xS )
| ( aElementOf0 @ sk__30 @ xQ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1809,zip_derived_cl519]) ).
thf(zip_derived_cl274_001,plain,
~ ( aElementOf0 @ sk__30 @ xS ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1851,plain,
aElementOf0 @ sk__30 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1838,zip_derived_cl274]) ).
thf(zip_derived_cl253,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl1859,plain,
aElementOf0 @ sk__30 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1851,zip_derived_cl253]) ).
thf(zip_derived_cl250,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl1983,plain,
aElementOf0 @ sk__30 @ ( sdtlpdtrp0 @ xN @ xi ),
inference('sup-',[status(thm)],[zip_derived_cl1859,zip_derived_cl250]) ).
thf(zip_derived_cl265_002,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(cnf,[status(esa)],[m__4037]) ).
thf(zip_derived_cl1999,plain,
aElementOf0 @ sk__30 @ xS,
inference('sup-',[status(thm)],[zip_derived_cl1983,zip_derived_cl265]) ).
thf(zip_derived_cl2007,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl1999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM583+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kvC571V72o true
% 0.17/0.34 % Computer : n004.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 08:48:53 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.88/1.03 % Solved by fo/fo5.sh.
% 2.88/1.03 % done 490 iterations in 0.260s
% 2.88/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.88/1.03 % SZS output start Refutation
% See solution above
% 2.88/1.03
% 2.88/1.03
% 2.88/1.03 % Terminating...
% 3.28/1.15 % Runner terminated.
% 3.28/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------