TSTP Solution File: NUM449+6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM449+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.Ux98rqXaoY true
% Computer : n022.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 5.15s 1.34s
% Output : Refutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 86 ( 29 unt; 28 typ; 0 def)
% Number of atoms : 234 ( 38 equ; 0 cnn)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 774 ( 49 ~; 65 |; 71 &; 549 @)
% ( 9 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 37 !; 17 ?; 54 :)
% 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(xS_type,type,
xS: $i ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(cS1395_type,type,
cS1395: $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(sk__14_type,type,
sk__14: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(isPrime0_type,type,
isPrime0: $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $o ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(isClosed0_type,type,
isClosed0: $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(m__,conjecture,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
=> ( ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
| ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
& ( aInteger0 @ W0 ) ) )
=> ( ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( aInteger0 @ W1 )
& ( W1 != sz00 )
& ( ( ! [W2: $i] :
( ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 )
& ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
& ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) )
& ( aInteger0 @ W2 ) ) )
& ( ( ( ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 )
| ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) )
| ? [W3: $i] :
( ( aInteger0 @ W3 )
& ( ( sdtasdt0 @ W1 @ W3 )
= ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) ) )
& ( aInteger0 @ W2 ) )
=> ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) )
=> ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
| ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_9: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_9 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_3,axiom,
! [W0: $i] :
( ( zip_tseitin_8 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] : ( zip_tseitin_7 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_7 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) ).
thf(zf_stmt_6,conjecture,
( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_9 @ W0 ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ! [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 ) ) ) ) )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
| ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
<=> ( zip_tseitin_9 @ W0 ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) )
=> ? [W1: $i] :
( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
& ! [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 ) ) ) ) )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
| ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) )
| ( isClosed0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl177,plain,
~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(mUnionSClosed,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( isClosed0 @ W1 ) ) ) )
=> ( isClosed0 @ ( sbsmnsldt0 @ W0 ) ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( isClosed0 @ ( sbsmnsldt0 @ X0 ) )
| ( aElementOf0 @ ( sk__13 @ X0 ) @ X0 )
| ~ ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mUnionSClosed]) ).
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_cl121,plain,
! [X0: $i] :
( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sk__14 @ X0 ) )
= X0 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl1593,plain,
( ~ ( aSet0 @ xS )
| ~ ( isFinite0 @ xS )
| ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
| ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sk__14 @ ( sk__13 @ xS ) ) )
= ( sk__13 @ xS ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl121]) ).
thf(zip_derived_cl110,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2046]) ).
thf(m__2117,axiom,
isFinite0 @ xS ).
thf(zip_derived_cl148,plain,
isFinite0 @ xS,
inference(cnf,[status(esa)],[m__2117]) ).
thf(zip_derived_cl177_001,plain,
~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1610,plain,
( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sk__14 @ ( sk__13 @ xS ) ) )
= ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl110,zip_derived_cl148,zip_derived_cl177]) ).
thf(zip_derived_cl1610_002,plain,
( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sk__14 @ ( sk__13 @ xS ) ) )
= ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl110,zip_derived_cl148,zip_derived_cl177]) ).
thf(mArSeqClosed,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 )
& ( W1 != sz00 ) )
=> ( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ cS1395 )
& ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) ) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( X1 = sz00 )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ X1 ) @ cS1395 ) ),
inference(cnf,[status(esa)],[mArSeqClosed]) ).
thf(zip_derived_cl2129,plain,
( ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ ( sk__14 @ ( sk__13 @ xS ) ) )
| ( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 )
| ( aSubsetOf0 @ ( sk__13 @ xS ) @ cS1395 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1610,zip_derived_cl108]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl106_003,plain,
! [X0: $i] :
( ( isClosed0 @ ( sbsmnsldt0 @ X0 ) )
| ( aElementOf0 @ ( sk__13 @ X0 ) @ X0 )
| ~ ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mUnionSClosed]) ).
thf(zip_derived_cl133,plain,
! [X0: $i] :
( ( aInteger0 @ ( sk__14 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl1596,plain,
( ~ ( aSet0 @ xS )
| ~ ( isFinite0 @ xS )
| ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
| ( aInteger0 @ ( sk__14 @ ( sk__13 @ xS ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl133]) ).
thf(zip_derived_cl110_004,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl148_005,plain,
isFinite0 @ xS,
inference(cnf,[status(esa)],[m__2117]) ).
thf(zip_derived_cl177_006,plain,
~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1613,plain,
aInteger0 @ ( sk__14 @ ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1596,zip_derived_cl110,zip_derived_cl148,zip_derived_cl177]) ).
thf(zip_derived_cl2131,plain,
( ( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 )
| ( aSubsetOf0 @ ( sk__13 @ xS ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl2129,zip_derived_cl1,zip_derived_cl1613]) ).
thf(zip_derived_cl1610_007,plain,
( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ ( sk__14 @ ( sk__13 @ xS ) ) )
= ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1593,zip_derived_cl110,zip_derived_cl148,zip_derived_cl177]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( X1 = sz00 )
| ( isClosed0 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mArSeqClosed]) ).
thf(zip_derived_cl1620,plain,
( ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ ( sk__14 @ ( sk__13 @ xS ) ) )
| ( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 )
| ( isClosed0 @ ( sk__13 @ xS ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1610,zip_derived_cl109]) ).
thf(zip_derived_cl1_008,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl1613_009,plain,
aInteger0 @ ( sk__14 @ ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1596,zip_derived_cl110,zip_derived_cl148,zip_derived_cl177]) ).
thf(zip_derived_cl1622,plain,
( ( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 )
| ( isClosed0 @ ( sk__13 @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1620,zip_derived_cl1,zip_derived_cl1613]) ).
thf(zip_derived_cl107,plain,
! [X0: $i] :
( ( isClosed0 @ ( sbsmnsldt0 @ X0 ) )
| ~ ( isClosed0 @ ( sk__13 @ X0 ) )
| ~ ( aSubsetOf0 @ ( sk__13 @ X0 ) @ cS1395 )
| ~ ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mUnionSClosed]) ).
thf(zip_derived_cl1709,plain,
( ( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 )
| ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( aSubsetOf0 @ ( sk__13 @ xS ) @ cS1395 )
| ~ ( isFinite0 @ xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1622,zip_derived_cl107]) ).
thf(zip_derived_cl177_010,plain,
~ ( isClosed0 @ ( sbsmnsldt0 @ xS ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl148_011,plain,
isFinite0 @ xS,
inference(cnf,[status(esa)],[m__2117]) ).
thf(zip_derived_cl110_012,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl1710,plain,
( ( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 )
| ~ ( aSubsetOf0 @ ( sk__13 @ xS ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl1709,zip_derived_cl177,zip_derived_cl148,zip_derived_cl110]) ).
thf(zip_derived_cl2132,plain,
( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl2131,zip_derived_cl1710]) ).
thf(zip_derived_cl2133,plain,
( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ sz00 )
= ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1610,zip_derived_cl2132]) ).
thf(zip_derived_cl106_013,plain,
! [X0: $i] :
( ( isClosed0 @ ( sbsmnsldt0 @ X0 ) )
| ( aElementOf0 @ ( sk__13 @ X0 ) @ X0 )
| ~ ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mUnionSClosed]) ).
thf(zip_derived_cl2161,plain,
( ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ sz00 ) @ xS )
| ~ ( isFinite0 @ xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2133,zip_derived_cl106]) ).
thf(zip_derived_cl148_014,plain,
isFinite0 @ xS,
inference(cnf,[status(esa)],[m__2117]) ).
thf(zip_derived_cl110_015,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl2163,plain,
( ( isClosed0 @ ( sbsmnsldt0 @ xS ) )
| ( aElementOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ sz00 ) @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl2161,zip_derived_cl148,zip_derived_cl110]) ).
thf(zip_derived_cl2132_016,plain,
( ( sk__14 @ ( sk__13 @ xS ) )
= sz00 ),
inference(clc,[status(thm)],[zip_derived_cl2131,zip_derived_cl1710]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ( ( sk__14 @ X0 )
!= sz00 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(cnf,[status(esa)],[m__2046]) ).
thf(zip_derived_cl2139,plain,
( ( sz00 != sz00 )
| ~ ( aElementOf0 @ ( sk__13 @ xS ) @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2132,zip_derived_cl132]) ).
thf(zip_derived_cl2141,plain,
~ ( aElementOf0 @ ( sk__13 @ xS ) @ xS ),
inference(simplify,[status(thm)],[zip_derived_cl2139]) ).
thf(zip_derived_cl2133_017,plain,
( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ sz00 )
= ( sk__13 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1610,zip_derived_cl2132]) ).
thf(zip_derived_cl2165,plain,
~ ( aElementOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ sz00 ) @ xS ),
inference(demod,[status(thm)],[zip_derived_cl2141,zip_derived_cl2133]) ).
thf(zip_derived_cl2196,plain,
isClosed0 @ ( sbsmnsldt0 @ xS ),
inference(demod,[status(thm)],[zip_derived_cl2163,zip_derived_cl2165]) ).
thf(zip_derived_cl2197,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl2196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM449+6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ux98rqXaoY true
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 17:51:25 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.58 % Total configuration time : 435
% 0.18/0.58 % Estimated wc time : 1092
% 0.18/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.15/1.34 % Solved by fo/fo13.sh.
% 5.15/1.34 % done 525 iterations in 0.604s
% 5.15/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.15/1.34 % SZS output start Refutation
% See solution above
% 5.15/1.34
% 5.15/1.34
% 5.15/1.34 % Terminating...
% 5.77/1.45 % Runner terminated.
% 5.77/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------