TSTP Solution File: NUM580+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM580+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.CDqLLJJ0AK 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 : Thu Aug 31 12:42:30 EDT 2023
% Result : Theorem 0.63s 1.47s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 59 ( 17 unt; 22 typ; 0 def)
% Number of atoms : 106 ( 18 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 458 ( 24 ~; 21 |; 23 &; 365 @)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xi_type,type,
xi: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $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(isFinite0_type,type,
isFinite0: $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xk_type,type,
xk: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(mCardCons,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( ~ ( aElementOf0 @ W1 @ W0 )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ X1 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mCardCons]) ).
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 ) ) ) ) )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK ) ) ) ).
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 ) ) )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK ) ) ) ).
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 ) ) )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
= xK ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl263,plain,
( ( sbrdtbr0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
!= xK ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2065,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xQ ) )
!= xK )
| ~ ( aSet0 @ xQ )
| ~ ( isFinite0 @ xQ )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ xQ )
| ~ ( aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,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_cl255,plain,
( ( sbrdtbr0 @ xQ )
= xk ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(m__3533,axiom,
( ( ( szszuzczcdt0 @ xk )
= xK )
& ( aElementOf0 @ xk @ szNzAzT0 ) ) ).
thf(zip_derived_cl209,plain,
( ( szszuzczcdt0 @ xk )
= xK ),
inference(cnf,[status(esa)],[m__3533]) ).
thf(zip_derived_cl252,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl255_001,plain,
( ( sbrdtbr0 @ xQ )
= xk ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(mCardNum,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
<=> ( isFinite0 @ W0 ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(zip_derived_cl481,plain,
( ~ ( aElementOf0 @ xk @ szNzAzT0 )
| ~ ( aSet0 @ xQ )
| ( isFinite0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl66]) ).
thf(zip_derived_cl210,plain,
aElementOf0 @ xk @ szNzAzT0,
inference(cnf,[status(esa)],[m__3533]) ).
thf(zip_derived_cl252_002,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl483,plain,
isFinite0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl481,zip_derived_cl210,zip_derived_cl252]) ).
thf(zip_derived_cl245,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl460,plain,
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl2]) ).
thf(m__3989,axiom,
aElementOf0 @ xi @ szNzAzT0 ).
thf(zip_derived_cl244,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3989]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl337,plain,
aSet0 @ ( sdtlpdtrp0 @ xN @ xi ),
inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl233]) ).
thf(zip_derived_cl461,plain,
aElement0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ),
inference(demod,[status(thm)],[zip_derived_cl460,zip_derived_cl337]) ).
thf(zip_derived_cl2088,plain,
( ( xK != xK )
| ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl2065,zip_derived_cl255,zip_derived_cl209,zip_derived_cl252,zip_derived_cl483,zip_derived_cl461]) ).
thf(zip_derived_cl2089,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ xQ,
inference(simplify,[status(thm)],[zip_derived_cl2088]) ).
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_cl2096,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2089,zip_derived_cl253]) ).
thf(zip_derived_cl251,plain,
! [X0: $i] :
( ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ~ ( aElementOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(cnf,[status(esa)],[m__3989_02]) ).
thf(zip_derived_cl2495,plain,
( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2096,zip_derived_cl251]) ).
thf(zip_derived_cl2501,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.19 % Problem : NUM580+3 : TPTP v8.1.2. Released v4.0.0.
% 0.17/0.20 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CDqLLJJ0AK true
% 0.19/0.41 % Computer : n012.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Fri Aug 25 12:53:56 EDT 2023
% 0.19/0.41 % CPUTime :
% 0.19/0.41 % Running portfolio for 300 s
% 0.19/0.41 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 % Number of cores: 8
% 0.19/0.42 % Python version: Python 3.6.8
% 0.19/0.42 % Running in FO mode
% 0.27/0.69 % Total configuration time : 435
% 0.27/0.69 % Estimated wc time : 1092
% 0.27/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/1.47 % Solved by fo/fo5.sh.
% 0.63/1.47 % done 598 iterations in 0.624s
% 0.63/1.47 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/1.47 % SZS output start Refutation
% See solution above
% 0.63/1.47
% 0.63/1.47
% 0.63/1.47 % Terminating...
% 5.41/1.52 % Runner terminated.
% 5.41/1.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------