TSTP Solution File: NUM588+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.npMejaSDK3 true
% Computer : n011.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 12:42:34 EDT 2023
% Result : Theorem 1.29s 1.07s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 39 ( 7 unt; 22 typ; 0 def)
% Number of atoms : 119 ( 7 equ; 0 cnn)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 649 ( 16 ~; 13 |; 48 &; 531 @)
% ( 9 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_50_type,type,
zip_tseitin_50: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sk__37_type,type,
sk__37: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(sk__36_type,type,
sk__36: $i ).
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(sk__34_type,type,
sk__34: $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(zip_tseitin_51_type,type,
zip_tseitin_51: $i > $i > $o ).
thf(xk_type,type,
xk: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sk__35_type,type,
sk__35: $i ).
thf(m__,conjecture,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( isCountable0 @ W1 )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W2
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W2 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) )
& ( ( sbrdtbr0 @ W2 )
= xk )
& ( aSubsetOf0 @ W2 @ W1 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSet0 @ W2 ) )
=> ( ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W3 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W3
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W3 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) )
| ( aSubsetOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
| ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_51: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [W3: $i,W0: $i] :
( ( zip_tseitin_51 @ W3 @ W0 )
<=> ( ( aElement0 @ W3 )
& ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W3
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_50: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_50 @ W2 @ W0 )
<=> ( ( aElement0 @ W2 )
& ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W2
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_4,conjecture,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_50 @ W2 @ W0 ) )
& ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( isCountable0 @ W1 ) )
=> ! [W2: $i] :
( ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSubsetOf0 @ W2 @ W1 )
& ( ( sbrdtbr0 @ W2 )
= xk )
& ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W3 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_51 @ W3 @ W0 ) ) )
=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
| ( aSubsetOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
| ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) ) ) ) ) ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_50 @ W2 @ W0 ) )
& ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( isCountable0 @ W1 ) )
=> ! [W2: $i] :
( ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSubsetOf0 @ W2 @ W1 )
& ( ( sbrdtbr0 @ W2 )
= xk )
& ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W3 ) ) )
=> ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_51 @ W3 @ W0 ) ) )
=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
| ( aSubsetOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
| ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl358,plain,
aElementOf0 @ sk__37 @ sk__36,
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl353,plain,
! [X3: $i] :
( ( aElementOf0 @ X3 @ sk__35 )
| ~ ( aElementOf0 @ X3 @ sk__36 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl661,plain,
aElementOf0 @ sk__37 @ sk__35,
inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl353]) ).
thf(zip_derived_cl357,plain,
~ ( aElementOf0 @ sk__37 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl538,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ) )
| ~ ( aElementOf0 @ sk__37 @ X0 )
| ~ ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl357,zip_derived_cl13]) ).
thf(zip_derived_cl349,plain,
aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl540,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ) )
| ~ ( aElementOf0 @ sk__37 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl538,zip_derived_cl349]) ).
thf(zip_derived_cl1032,plain,
~ ( aSubsetOf0 @ sk__35 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl661,zip_derived_cl540]) ).
thf(zip_derived_cl367,plain,
aSubsetOf0 @ sk__35 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__34 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1034,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1032,zip_derived_cl367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.npMejaSDK3 true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 13:51:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.07 % Solved by fo/fo13.sh.
% 1.29/1.07 % done 333 iterations in 0.288s
% 1.29/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/1.07 % SZS output start Refutation
% See solution above
% 1.29/1.07
% 1.29/1.07
% 1.29/1.07 % Terminating...
% 1.62/1.16 % Runner terminated.
% 1.74/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------