TSTP Solution File: NUM437+5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM437+5 : 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.st1Z0wEqLV true
% Computer : n001.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 12:41:27 EDT 2023
% Result : Theorem 209.91s 30.87s
% Output : Refutation 209.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 36
% Syntax : Number of formulae : 133 ( 36 unt; 27 typ; 0 def)
% Number of atoms : 316 ( 30 equ; 0 cnn)
% Maximal formula atoms : 29 ( 2 avg)
% Number of connectives : 1105 ( 95 ~; 106 |; 66 &; 800 @)
% ( 12 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 5 con; 0-3 aty)
% Number of variables : 132 ( 0 ^; 118 !; 14 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(isOpen0_type,type,
isOpen0: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i > $i ).
thf(sdtbsmnsldt0_type,type,
sdtbsmnsldt0: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $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(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sdteqdtlpzmzozddtrp0_type,type,
sdteqdtlpzmzozddtrp0: $i > $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sdtslmnbsdt0_type,type,
sdtslmnbsdt0: $i > $i > $i ).
thf(m__,conjecture,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( ? [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
& ( aElementOf0 @ W0 @ W1 ) )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( sbsmnsldt0 @ xS ) ) )
=> ( ( isOpen0 @ ( sbsmnsldt0 @ xS ) )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( 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 ) @ ( sbsmnsldt0 @ xS ) )
| ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_8 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ? [W1: $i] : ( zip_tseitin_7 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_7 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W0 @ W1 )
& ( aElementOf0 @ W1 @ xS ) ) ) ).
thf(zf_stmt_4,conjecture,
( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( 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 @ ( sbsmnsldt0 @ xS ) ) )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( sbsmnsldt0 @ xS ) ) ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
| ( isOpen0 @ ( sbsmnsldt0 @ xS ) ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( 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 @ ( sbsmnsldt0 @ xS ) ) )
| ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( sbsmnsldt0 @ xS ) ) ) )
& ( W1 != sz00 )
& ( aInteger0 @ W1 ) ) )
| ( isOpen0 @ ( sbsmnsldt0 @ xS ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl133,plain,
! [X2: $i] :
( ( aElementOf0 @ ( sk__16 @ X2 ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sk__15 @ X2 ) )
| ( X2 = sz00 )
| ~ ( aInteger0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl127,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__14 @ X0 ) @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl127_001,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__14 @ X0 ) @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl123_002,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl127_003,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ ( sk__14 @ X0 ) @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( aElementOf0 @ ( sk__14 @ X0 ) @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl124]) ).
thf(m__1750,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( ( aSet0 @ cS1395 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ cS1395 )
<=> ( aInteger0 @ W1 ) )
& ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ cS1395 ) )
& ( aSubsetOf0 @ W0 @ cS1395 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ? [W2: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W1 @ W2 ) @ W0 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ ( szAzrzSzezqlpdtcmdtrp0 @ W1 @ W2 ) )
=> ( aElementOf0 @ W3 @ W0 ) )
& ! [W3: $i] :
( ( ( ( aInteger0 @ W3 )
& ( ? [W4: $i] :
( ( ( sdtasdt0 @ W2 @ W4 )
= ( sdtpldt0 @ W3 @ ( smndt0 @ W1 ) ) )
& ( aInteger0 @ W4 ) )
| ( aDivisorOf0 @ W2 @ ( sdtpldt0 @ W3 @ ( smndt0 @ W1 ) ) )
| ( sdteqdtlpzmzozddtrp0 @ W3 @ W1 @ W2 ) ) )
=> ( aElementOf0 @ W3 @ ( szAzrzSzezqlpdtcmdtrp0 @ W1 @ W2 ) ) )
& ( ( aElementOf0 @ W3 @ ( szAzrzSzezqlpdtcmdtrp0 @ W1 @ W2 ) )
=> ( ( aInteger0 @ W3 )
& ? [W4: $i] :
( ( ( sdtasdt0 @ W2 @ W4 )
= ( sdtpldt0 @ W3 @ ( smndt0 @ W1 ) ) )
& ( aInteger0 @ W4 ) )
& ( aDivisorOf0 @ W2 @ ( sdtpldt0 @ W3 @ ( smndt0 @ W1 ) ) )
& ( sdteqdtlpzmzozddtrp0 @ W3 @ W1 @ W2 ) ) ) )
& ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W1 @ W2 ) )
& ( W2 != sz00 )
& ( aInteger0 @ W2 ) ) )
& ( isOpen0 @ W0 ) ) )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X1 @ xS ) ),
inference(cnf,[status(esa)],[m__1750]) ).
thf(zip_derived_cl233,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( aElementOf0 @ X1 @ cS1395 )
| ~ ( aElementOf0 @ X1 @ ( sk__14 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl107]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_7 @ ( sk__14 @ X0 ) @ X1 )
| ( aElementOf0 @ X1 @ cS1395 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl233]) ).
thf(zip_derived_cl362,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_8 @ X0 )
| ( aElementOf0 @ X0 @ cS1395 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl359]) ).
thf(zip_derived_cl363,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl362]) ).
thf(zip_derived_cl144,plain,
aElementOf0 @ sk__15 @ ( sbsmnsldt0 @ xS ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(mIntersection,axiom,
! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( aSubsetOf0 @ W0 @ cS1395 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtslmnbsdt0 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( aElementOf0 @ W3 @ W1 )
& ( aElementOf0 @ W3 @ W0 )
& ( aInteger0 @ W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_6,axiom,
! [W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_1 @ W3 @ W1 @ W0 )
<=> ( ( aInteger0 @ W3 )
& ( aElementOf0 @ W3 @ W0 )
& ( aElementOf0 @ W3 @ W1 ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X0 @ X2 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl423,plain,
! [X0: $i] :
( ~ ( aInteger0 @ sk__15 )
| ~ ( aElementOf0 @ sk__15 @ X0 )
| ( zip_tseitin_1 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl59]) ).
thf(zip_derived_cl126,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl144_004,plain,
aElementOf0 @ sk__15 @ ( sbsmnsldt0 @ xS ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(mUnion,axiom,
! [W0: $i,W1: $i] :
( ( ( aSubsetOf0 @ W1 @ cS1395 )
& ( aSubsetOf0 @ W0 @ cS1395 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtbsmnsldt0 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( ( aElementOf0 @ W3 @ W1 )
| ( aElementOf0 @ W3 @ W0 ) )
& ( aInteger0 @ W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_0 @ W3 @ W1 @ W0 )
<=> ( ( aInteger0 @ W3 )
& ( ( aElementOf0 @ W3 @ W0 )
| ( aElementOf0 @ W3 @ W1 ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl178,plain,
! [X0: $i] :
( ~ ( aInteger0 @ sk__15 )
| ( zip_tseitin_0 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl49]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ sk__15 )
| ( zip_tseitin_0 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl178]) ).
thf(zip_derived_cl144_005,plain,
aElementOf0 @ sk__15 @ ( sbsmnsldt0 @ xS ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl131,plain,
! [X1: $i] :
( ( zip_tseitin_8 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sbsmnsldt0 @ xS ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl151,plain,
zip_tseitin_8 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl131]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] : ( zip_tseitin_0 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl151]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aInteger0 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl190,plain,
aInteger0 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl47]) ).
thf(zip_derived_cl426,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ sk__15 @ X0 )
| ( zip_tseitin_1 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl190]) ).
thf(zip_derived_cl445,plain,
( ~ ( zip_tseitin_8 @ sk__15 )
| ( zip_tseitin_1 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ cS1395 ) ),
inference('sup-',[status(thm)],[zip_derived_cl363,zip_derived_cl426]) ).
thf(zip_derived_cl151_006,plain,
zip_tseitin_8 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl131]) ).
thf(zip_derived_cl449,plain,
zip_tseitin_1 @ sk__15 @ ( sbsmnsldt0 @ xS ) @ cS1395,
inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl151]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl454,plain,
aElementOf0 @ sk__15 @ cS1395,
inference('sup-',[status(thm)],[zip_derived_cl449,zip_derived_cl57]) ).
thf(zip_derived_cl59_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( aElementOf0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X0 @ X2 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl456,plain,
! [X0: $i] :
( ~ ( aInteger0 @ sk__15 )
| ~ ( aElementOf0 @ sk__15 @ X0 )
| ( zip_tseitin_1 @ sk__15 @ cS1395 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl59]) ).
thf(zip_derived_cl190_008,plain,
aInteger0 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl47]) ).
thf(zip_derived_cl464,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ sk__15 @ X0 )
| ( zip_tseitin_1 @ sk__15 @ cS1395 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl456,zip_derived_cl190]) ).
thf(zip_derived_cl474,plain,
! [X0: $i] :
( ~ ( zip_tseitin_7 @ X0 @ sk__15 )
| ( zip_tseitin_1 @ sk__15 @ cS1395 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl464]) ).
thf(zip_derived_cl483,plain,
( ~ ( zip_tseitin_8 @ sk__15 )
| ( zip_tseitin_1 @ sk__15 @ cS1395 @ ( sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl474]) ).
thf(zip_derived_cl151_009,plain,
zip_tseitin_8 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl131]) ).
thf(zip_derived_cl484,plain,
zip_tseitin_1 @ sk__15 @ cS1395 @ ( sk__14 @ sk__15 ),
inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl151]) ).
thf(zip_derived_cl57_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl537,plain,
aElementOf0 @ sk__15 @ ( sk__14 @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl57]) ).
thf(zip_derived_cl537_011,plain,
aElementOf0 @ sk__15 @ ( sk__14 @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl57]) ).
thf(zip_derived_cl216_012,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( aElementOf0 @ ( sk__14 @ X0 ) @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl124]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( aElementOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl227,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ~ ( aElementOf0 @ X1 @ ( sk__14 @ X0 ) )
| ( zip_tseitin_7 @ ( sk__14 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl125]) ).
thf(zip_derived_cl546,plain,
( ( zip_tseitin_7 @ ( sk__14 @ sk__15 ) @ sk__15 )
| ~ ( zip_tseitin_8 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl227]) ).
thf(zip_derived_cl151_013,plain,
zip_tseitin_8 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl131]) ).
thf(zip_derived_cl557,plain,
zip_tseitin_7 @ ( sk__14 @ sk__15 ) @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl151]) ).
thf(zip_derived_cl124_014,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ xS )
| ~ ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl566,plain,
aElementOf0 @ ( sk__14 @ sk__15 ) @ xS,
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl124]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ ( sk__12 @ X0 @ X1 ) ) )
| ~ ( aElementOf0 @ X1 @ xS ) ),
inference(cnf,[status(esa)],[m__1750]) ).
thf(zip_derived_cl1412,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ ( sk__12 @ X0 @ ( sk__14 @ sk__15 ) ) ) )
| ( aElementOf0 @ X1 @ ( sk__14 @ sk__15 ) )
| ~ ( aElementOf0 @ X0 @ ( sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl120]) ).
thf(zip_derived_cl4128,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sk__14 @ sk__15 ) )
| ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sk__15 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl1412]) ).
thf(zip_derived_cl103880,plain,
( ~ ( aInteger0 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) )
| ( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
= sz00 )
| ( aElementOf0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) @ ( sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl4128]) ).
thf(zip_derived_cl537_015,plain,
aElementOf0 @ sk__15 @ ( sk__14 @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl57]) ).
thf(zip_derived_cl566_016,plain,
aElementOf0 @ ( sk__14 @ sk__15 ) @ xS,
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl124]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aInteger0 @ ( sk__12 @ X0 @ X1 ) )
| ~ ( aElementOf0 @ X1 @ xS ) ),
inference(cnf,[status(esa)],[m__1750]) ).
thf(zip_derived_cl656,plain,
! [X0: $i] :
( ( aInteger0 @ ( sk__12 @ X0 @ ( sk__14 @ sk__15 ) ) )
| ~ ( aElementOf0 @ X0 @ ( sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl109]) ).
thf(zip_derived_cl1673,plain,
aInteger0 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl656]) ).
thf(zip_derived_cl103905,plain,
( ( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
= sz00 )
| ( aElementOf0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) @ ( sk__14 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl103880,zip_derived_cl1673]) ).
thf(zip_derived_cl537_017,plain,
aElementOf0 @ sk__15 @ ( sk__14 @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl57]) ).
thf(zip_derived_cl216_018,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( aElementOf0 @ ( sk__14 @ X0 ) @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl124]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sk__12 @ X0 @ X1 )
!= sz00 )
| ~ ( aElementOf0 @ X1 @ xS ) ),
inference(cnf,[status(esa)],[m__1750]) ).
thf(zip_derived_cl229,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( ( sk__12 @ X1 @ ( sk__14 @ X0 ) )
!= sz00 )
| ~ ( aElementOf0 @ X1 @ ( sk__14 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl110]) ).
thf(zip_derived_cl547,plain,
( ( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
!= sz00 )
| ~ ( zip_tseitin_8 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl229]) ).
thf(zip_derived_cl151_019,plain,
zip_tseitin_8 @ sk__15,
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl131]) ).
thf(zip_derived_cl558,plain,
( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl151]) ).
thf(zip_derived_cl103906,plain,
aElementOf0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) @ ( sk__14 @ sk__15 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl103905,zip_derived_cl558]) ).
thf(zip_derived_cl566_020,plain,
aElementOf0 @ ( sk__14 @ sk__15 ) @ xS,
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl124]) ).
thf(zip_derived_cl125_021,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( aElementOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl653,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sk__14 @ sk__15 ) )
| ( zip_tseitin_7 @ ( sk__14 @ sk__15 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl125]) ).
thf(zip_derived_cl110425,plain,
zip_tseitin_7 @ ( sk__14 @ sk__15 ) @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl103906,zip_derived_cl653]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_7 @ X1 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl126228,plain,
( ~ ( aInteger0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) )
| ( zip_tseitin_8 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl110425,zip_derived_cl128]) ).
thf(zip_derived_cl133_022,plain,
! [X2: $i] :
( ( aElementOf0 @ ( sk__16 @ X2 ) @ ( szAzrzSzezqlpdtcmdtrp0 @ sk__15 @ X2 ) )
| ( X2 = sz00 )
| ~ ( aInteger0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl537_023,plain,
aElementOf0 @ sk__15 @ ( sk__14 @ sk__15 ),
inference('sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl57]) ).
thf(zip_derived_cl566_024,plain,
aElementOf0 @ ( sk__14 @ sk__15 ) @ xS,
inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl124]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aInteger0 @ X2 )
| ~ ( aElementOf0 @ X2 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ ( sk__12 @ X0 @ X1 ) ) )
| ~ ( aElementOf0 @ X1 @ xS ) ),
inference(cnf,[status(esa)],[m__1750]) ).
thf(zip_derived_cl658,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ ( szAzrzSzezqlpdtcmdtrp0 @ X0 @ ( sk__12 @ X0 @ ( sk__14 @ sk__15 ) ) ) )
| ( aInteger0 @ X1 )
| ~ ( aElementOf0 @ X0 @ ( sk__14 @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl115]) ).
thf(zip_derived_cl1000,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sk__15 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl658]) ).
thf(zip_derived_cl103879,plain,
( ~ ( aInteger0 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) )
| ( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
= sz00 )
| ( aInteger0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl1000]) ).
thf(zip_derived_cl1673_025,plain,
aInteger0 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl656]) ).
thf(zip_derived_cl103903,plain,
( ( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
= sz00 )
| ( aInteger0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl103879,zip_derived_cl1673]) ).
thf(zip_derived_cl558_026,plain,
( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl151]) ).
thf(zip_derived_cl103904,plain,
aInteger0 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl103903,zip_derived_cl558]) ).
thf(zip_derived_cl126324,plain,
zip_tseitin_8 @ ( sk__16 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl126228,zip_derived_cl103904]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sbsmnsldt0 @ xS ) )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl134,plain,
! [X2: $i] :
( ~ ( aElementOf0 @ ( sk__16 @ X2 ) @ ( sbsmnsldt0 @ xS ) )
| ( X2 = sz00 )
| ~ ( aInteger0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl277,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ ( sk__16 @ X0 ) )
| ~ ( aInteger0 @ X0 )
| ( X0 = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl134]) ).
thf(zip_derived_cl126364,plain,
( ( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
= sz00 )
| ~ ( aInteger0 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126324,zip_derived_cl277]) ).
thf(zip_derived_cl1673_027,plain,
aInteger0 @ ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl656]) ).
thf(zip_derived_cl126377,plain,
( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl126364,zip_derived_cl1673]) ).
thf(zip_derived_cl558_028,plain,
( ( sk__12 @ sk__15 @ ( sk__14 @ sk__15 ) )
!= sz00 ),
inference(demod,[status(thm)],[zip_derived_cl547,zip_derived_cl151]) ).
thf(zip_derived_cl126378,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl126377,zip_derived_cl558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM437+5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.st1Z0wEqLV true
% 0.08/0.29 % Computer : n001.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Fri Aug 25 11:47:43 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.29 % Running in FO mode
% 0.13/0.53 % Total configuration time : 435
% 0.13/0.53 % Estimated wc time : 1092
% 0.13/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 209.91/30.87 % Solved by fo/fo7.sh.
% 209.91/30.87 % done 10294 iterations in 30.203s
% 209.91/30.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 209.91/30.87 % SZS output start Refutation
% See solution above
% 209.91/30.87
% 209.91/30.87
% 209.91/30.87 % Terminating...
% 210.50/30.97 % Runner terminated.
% 210.50/30.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------