TSTP Solution File: NUM450+6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM450+6 : 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.qlezbfXj2O true
% Computer : n020.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 12:41:31 EDT 2023
% Result : Theorem 1.61s 1.05s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 35
% Syntax : Number of formulae : 69 ( 22 unt; 27 typ; 0 def)
% Number of atoms : 233 ( 50 equ; 0 cnn)
% Maximal formula atoms : 55 ( 5 avg)
% Number of connectives : 811 ( 29 ~; 31 |; 111 &; 591 @)
% ( 16 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 6 con; 0-3 aty)
% Number of variables : 68 ( 0 ^; 42 !; 26 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(isOpen0_type,type,
isOpen0: $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(cS2043_type,type,
cS2043: $i ).
thf(sz10_type,type,
sz10: $i ).
thf(xS_type,type,
xS: $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $o ).
thf(cS2076_type,type,
cS2076: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sbsmnsldt0_type,type,
sbsmnsldt0: $i > $i ).
thf(szAzrzSzezqlpdtcmdtrp0_type,type,
szAzrzSzezqlpdtcmdtrp0: $i > $i > $i ).
thf(stldt0_type,type,
stldt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(isClosed0_type,type,
isClosed0: $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i > $i ).
thf(m__2079,axiom,
( ( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( W0 = sz10 )
| ( W0
= ( smndt0 @ sz10 ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( X0 != sz10 ) ),
inference(cnf,[status(esa)],[m__2079]) ).
thf(m__2046,axiom,
( ( xS = cS2043 )
& ! [W0: $i] :
( ( ? [W1: $i] :
( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
& ! [W2: $i] :
( ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ W3 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ W3 ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) ) ) )
=> ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
= W0 ) )
& ( isPrime0 @ W1 )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) )
=> ( aElementOf0 @ W0 @ xS ) )
& ( ( aElementOf0 @ W0 @ xS )
=> ? [W1: $i] :
( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 )
= W0 )
& ! [W2: $i] :
( ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ W3 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) )
& ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( aInteger0 @ W3 ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) )
& ( isPrime0 @ W1 )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) ) )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl134,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl147,plain,
( ( stldt0 @ ( sbsmnsldt0 @ xS ) )
= cS2076 ),
inference(cnf,[status(esa)],[m__2079]) ).
thf(zip_derived_cl134_001,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl227,plain,
( ( stldt0 @ ( sbsmnsldt0 @ cS2043 ) )
= cS2076 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl134]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS2076 )
| ( X0 != sz10 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl134,zip_derived_cl227]) ).
thf(zip_derived_cl250,plain,
aElementOf0 @ sz10 @ cS2076,
inference(eq_res,[status(thm)],[zip_derived_cl249]) ).
thf(m__2144,axiom,
( ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W2: $i] :
( ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ W3 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
& ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ W3 ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) )
& ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] :
( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
& ! [W2: $i] :
( ( ( ( aInteger0 @ W2 )
& ( ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ W3 ) )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
& ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( aInteger0 @ W2 )
& ? [W3: $i] :
( ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( aInteger0 @ W3 ) )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) ) ) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ ( sk__22 @ X0 ) ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[m__2144]) ).
thf(zip_derived_cl134_002,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl227_003,plain,
( ( stldt0 @ ( sbsmnsldt0 @ cS2043 ) )
= cS2076 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl134]) ).
thf(zip_derived_cl134_004,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl227_005,plain,
( ( stldt0 @ ( sbsmnsldt0 @ cS2043 ) )
= cS2076 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl134]) ).
thf(zip_derived_cl1802,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ ( sk__22 @ X0 ) ) @ cS2076 )
| ~ ( aElementOf0 @ X0 @ cS2076 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl134,zip_derived_cl227,zip_derived_cl134,zip_derived_cl227]) ).
thf(zip_derived_cl1805,plain,
aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ ( sk__22 @ sz10 ) ) @ cS2076,
inference('sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl1802]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( aInteger0 @ W0 )
& ( W0 != sz00 )
& ( ( ! [W1: $i] :
( ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 )
& ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ? [W2: $i] :
( ( aInteger0 @ W2 )
& ( ( sdtasdt0 @ W0 @ W2 )
= ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) )
& ( aInteger0 @ W1 ) ) )
& ( ( ( ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 )
| ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
| ? [W2: $i] :
( ( aInteger0 @ W2 )
& ( ( sdtasdt0 @ W0 @ W2 )
= ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) ) )
& ( aInteger0 @ W1 ) )
=> ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) )
=> ( ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) )
<=> ( ? [W2: $i] :
( ( aElementOf0 @ W2 @ xS )
& ( aElementOf0 @ W1 @ W2 ) )
& ( aInteger0 @ W1 ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ~ ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) )
& ( aInteger0 @ W1 ) ) )
=> ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
=> ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_9: $i > $o ).
thf(zf_stmt_1,axiom,
! [W1: $i] :
( ( zip_tseitin_9 @ W1 )
<=> ( ( aInteger0 @ W1 )
& ~ ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_3,axiom,
! [W1: $i] :
( ( zip_tseitin_8 @ W1 )
<=> ( ( aInteger0 @ W1 )
& ? [W2: $i] : ( zip_tseitin_7 @ W2 @ W1 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W2: $i,W1: $i] :
( ( zip_tseitin_7 @ W2 @ W1 )
<=> ( ( aElementOf0 @ W1 @ W2 )
& ( aElementOf0 @ W2 @ xS ) ) ) ).
thf(zf_stmt_6,conjecture,
? [W0: $i] :
( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
& ! [W1: $i] :
( ( ( ( aInteger0 @ W1 )
& ( ? [W2: $i] :
( ( ( sdtasdt0 @ W0 @ W2 )
= ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W2 ) )
| ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) )
& ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
=> ( ( aInteger0 @ W1 )
& ? [W2: $i] :
( ( ( sdtasdt0 @ W0 @ W2 )
= ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W2 ) )
& ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) ) ) )
=> ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W1 ) ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_9 @ W1 ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
=> ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
& ( W0 != sz00 )
& ( aInteger0 @ W0 ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ? [W0: $i] :
( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
& ! [W1: $i] :
( ( ( ( aInteger0 @ W1 )
& ( ? [W2: $i] :
( ( ( sdtasdt0 @ W0 @ W2 )
= ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W2 ) )
| ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) )
& ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
=> ( ( aInteger0 @ W1 )
& ? [W2: $i] :
( ( ( sdtasdt0 @ W0 @ W2 )
= ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ( aInteger0 @ W2 ) )
& ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) ) ) )
=> ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W1 ) ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_9 @ W1 ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) )
=> ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) )
& ( W0 != sz00 )
& ( aInteger0 @ W0 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl204,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ X0 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ( X0 = sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl134_006,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl227_007,plain,
( ( stldt0 @ ( sbsmnsldt0 @ cS2043 ) )
= cS2076 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl134]) ).
thf(zip_derived_cl637,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ X0 ) @ cS2076 )
| ( X0 = sz00 )
| ~ ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl204,zip_derived_cl134,zip_derived_cl227]) ).
thf(zip_derived_cl2132,plain,
( ~ ( aInteger0 @ ( sk__22 @ sz10 ) )
| ( ( sk__22 @ sz10 )
= sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1805,zip_derived_cl637]) ).
thf(zip_derived_cl250_008,plain,
aElementOf0 @ sz10 @ cS2076,
inference(eq_res,[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ( aInteger0 @ ( sk__22 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[m__2144]) ).
thf(zip_derived_cl134_009,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl227_010,plain,
( ( stldt0 @ ( sbsmnsldt0 @ cS2043 ) )
= cS2076 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl134]) ).
thf(zip_derived_cl402,plain,
! [X0: $i] :
( ( aInteger0 @ ( sk__22 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ cS2076 ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl134,zip_derived_cl227]) ).
thf(zip_derived_cl404,plain,
aInteger0 @ ( sk__22 @ sz10 ),
inference('sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl402]) ).
thf(zip_derived_cl2135,plain,
( ( sk__22 @ sz10 )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl2132,zip_derived_cl404]) ).
thf(zip_derived_cl250_011,plain,
aElementOf0 @ sz10 @ cS2076,
inference(eq_res,[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ( ( sk__22 @ X0 )
!= sz00 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference(cnf,[status(esa)],[m__2144]) ).
thf(zip_derived_cl134_012,plain,
xS = cS2043,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl227_013,plain,
( ( stldt0 @ ( sbsmnsldt0 @ cS2043 ) )
= cS2076 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl134]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ( ( sk__22 @ X0 )
!= sz00 )
| ~ ( aElementOf0 @ X0 @ cS2076 ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl134,zip_derived_cl227]) ).
thf(zip_derived_cl261,plain,
( ( sk__22 @ sz10 )
!= sz00 ),
inference('sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl259]) ).
thf(zip_derived_cl2136,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2135,zip_derived_cl261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM450+6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qlezbfXj2O true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 13:33:45 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /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
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.61/1.05 % Solved by fo/fo5.sh.
% 1.61/1.05 % done 385 iterations in 0.260s
% 1.61/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.61/1.05 % SZS output start Refutation
% See solution above
% 1.61/1.05
% 1.61/1.05
% 1.90/1.05 % Terminating...
% 2.32/1.15 % Runner terminated.
% 2.32/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------