TSTP Solution File: NUM440+6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM440+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.xqk2S6uKZQ true
% Computer : n006.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 12:41:28 EDT 2023
% Result : Theorem 10.84s 2.15s
% Output : Refutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 47
% Syntax : Number of formulae : 254 ( 52 unt; 33 typ; 0 def)
% Number of atoms : 700 ( 17 equ; 0 cnn)
% Maximal formula atoms : 63 ( 3 avg)
% Number of connectives : 2362 ( 277 ~; 303 |; 91 &;1606 @)
% ( 40 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 6 con; 0-3 aty)
% Number of variables : 218 ( 0 ^; 212 !; 6 ?; 218 :)
% Comments :
%------------------------------------------------------------------------------
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xB_type,type,
xB: $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $o ).
thf(isOpen0_type,type,
isOpen0: $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(aInteger0_type,type,
aInteger0: $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $o ).
thf(sdtbsmnsldt0_type,type,
sdtbsmnsldt0: $i > $i > $i ).
thf(cS1395_type,type,
cS1395: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $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(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $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 > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sdtslmnbsdt0_type,type,
sdtslmnbsdt0: $i > $i > $i ).
thf(xA_type,type,
xA: $i ).
thf(m__,conjecture,
( ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
<=> ( ( ( aElementOf0 @ W0 @ xB )
| ( aElementOf0 @ W0 @ xA ) )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
<=> ( ~ ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
<=> ( ~ ( aElementOf0 @ W0 @ xA )
& ( aInteger0 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( ~ ( aElementOf0 @ W0 @ xB )
& ( aInteger0 @ W0 ) ) )
=> ( ( ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
= ( sdtslmnbsdt0 @ ( stldt0 @ xA ) @ ( stldt0 @ xB ) ) )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
<=> ( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
& ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
& ( aInteger0 @ W0 ) ) ) ) ) ) ) )
& ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( ~ ( aElementOf0 @ W0 @ xB )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( stldt0 @ xB ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) )
& ( aSet0 @ cS1395 ) )
=> ( ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
=> ( aElementOf0 @ W0 @ cS1395 ) ) ) ) )
& ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
<=> ( ~ ( aElementOf0 @ W0 @ xA )
& ( aInteger0 @ W0 ) ) )
& ( aSet0 @ ( stldt0 @ xA ) ) )
=> ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) )
& ( aSet0 @ cS1395 ) )
=> ( ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
=> ( aElementOf0 @ W0 @ cS1395 ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_12: $i > $o ).
thf(zf_stmt_1,axiom,
! [W0: $i] :
( ( zip_tseitin_12 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
& ( aElementOf0 @ W0 @ ( stldt0 @ xB ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_11: $i > $o ).
thf(zf_stmt_3,axiom,
! [W0: $i] :
( ( zip_tseitin_11 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xB ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_10: $i > $o ).
thf(zf_stmt_5,axiom,
! [W0: $i] :
( ( zip_tseitin_10 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xA ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_9: $i > $o ).
thf(zf_stmt_7,axiom,
! [W0: $i] :
( ( zip_tseitin_9 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_9,axiom,
! [W0: $i] :
( ( zip_tseitin_8 @ W0 )
<=> ( ( aInteger0 @ W0 )
& ( zip_tseitin_7 @ W0 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_7: $i > $o ).
thf(zf_stmt_11,axiom,
! [W0: $i] :
( ( zip_tseitin_7 @ W0 )
<=> ( ( aElementOf0 @ W0 @ xA )
| ( aElementOf0 @ W0 @ xB ) ) ) ).
thf(zf_stmt_12,conjecture,
( ( ( ( aSet0 @ ( stldt0 @ xA ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xA ) ) ) )
=> ( ( ( aSet0 @ cS1395 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
=> ( aElementOf0 @ W0 @ cS1395 ) )
| ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 ) ) ) )
& ( ( ( aSet0 @ ( stldt0 @ xB ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xB ) ) ) )
=> ( ( ( aSet0 @ cS1395 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
=> ( aElementOf0 @ W0 @ cS1395 ) )
| ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 ) ) ) )
& ( ( ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ( ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
<=> ( zip_tseitin_9 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
<=> ( zip_tseitin_10 @ W0 ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( zip_tseitin_11 @ W0 ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
<=> ( zip_tseitin_12 @ W0 ) )
| ( ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
= ( sdtslmnbsdt0 @ ( stldt0 @ xA ) @ ( stldt0 @ xB ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_13,negated_conjecture,
~ ( ( ( ( aSet0 @ ( stldt0 @ xA ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xA ) ) ) )
=> ( ( ( aSet0 @ cS1395 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
=> ( aElementOf0 @ W0 @ cS1395 ) )
| ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 ) ) ) )
& ( ( ( aSet0 @ ( stldt0 @ xB ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xB ) ) ) )
=> ( ( ( aSet0 @ cS1395 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
=> ( aElementOf0 @ W0 @ cS1395 ) )
| ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 ) ) ) )
& ( ( ( aSet0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
<=> ( zip_tseitin_8 @ W0 ) ) )
=> ( ( ( aSet0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
<=> ( zip_tseitin_9 @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
<=> ( zip_tseitin_10 @ W0 ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( zip_tseitin_11 @ W0 ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
<=> ( zip_tseitin_12 @ W0 ) )
| ( ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
= ( sdtslmnbsdt0 @ ( stldt0 @ xA ) @ ( stldt0 @ xB ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl885,plain,
! [X6: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( aElementOf0 @ X6 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ~ ( zip_tseitin_9 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(mSubset,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(m__1826,axiom,
( ( isOpen0 @ ( stldt0 @ xB ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xB )
=> ( aElementOf0 @ W0 @ cS1395 ) )
& ( aSubsetOf0 @ xB @ cS1395 )
& ( isClosed0 @ xA )
& ( aSubsetOf0 @ xA @ cS1395 )
& ( aSet0 @ cS1395 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xA )
=> ( aElementOf0 @ W0 @ cS1395 ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xB ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xB ) ) )
& ( aSet0 @ xB )
& ( isClosed0 @ xB )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ cS1395 )
<=> ( aInteger0 @ W0 ) )
& ( isOpen0 @ ( stldt0 @ xA ) )
& ( aSet0 @ xA )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( stldt0 @ xA ) )
=> ? [W1: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ xA ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ xA ) ) )
& ! [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 @ ( stldt0 @ xB ) )
=> ? [W1: $i] :
( ( aSubsetOf0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @ ( stldt0 @ xB ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) )
=> ( aElementOf0 @ W2 @ ( stldt0 @ xB ) ) )
& ! [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 @ ( stldt0 @ xA ) )
<=> ( ( aInteger0 @ W0 )
& ~ ( aElementOf0 @ W0 @ xA ) ) )
& ( aSet0 @ ( stldt0 @ xB ) )
& ( aSet0 @ ( stldt0 @ xA ) ) ) ).
thf(zip_derived_cl138,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl108,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl4998,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl108]) ).
thf(zip_derived_cl5037,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ xA ) @ X0 )
| ~ ( aSet0 @ ( stldt0 @ xA ) )
| ( aElementOf0 @ ( sk__2 @ ( stldt0 @ xA ) @ X0 ) @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl4998]) ).
thf(zip_derived_cl105,plain,
aSet0 @ ( stldt0 @ xA ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5046,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ xA ) @ X0 )
| ( aElementOf0 @ ( sk__2 @ ( stldt0 @ xA ) @ X0 ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5037,zip_derived_cl105]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl7663,plain,
( ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSet0 @ cS1395 )
| ~ ( aSet0 @ ( stldt0 @ xA ) )
| ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSet0 @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5046,zip_derived_cl42]) ).
thf(zip_derived_cl148,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl105_001,plain,
aSet0 @ ( stldt0 @ xA ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl148_002,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl7665,plain,
( ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl7663,zip_derived_cl148,zip_derived_cl105,zip_derived_cl148]) ).
thf(zip_derived_cl7666,plain,
aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl7665]) ).
thf(zip_derived_cl7678,plain,
! [X6: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( aElementOf0 @ X6 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ~ ( zip_tseitin_9 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl885,zip_derived_cl7666]) ).
thf(zip_derived_cl43_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xB ) ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl138_004,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5030,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ xB ) )
| ( aElementOf0 @ X0 @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl138]) ).
thf(zip_derived_cl5038,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ xB ) @ X0 )
| ~ ( aSet0 @ ( stldt0 @ xB ) )
| ( aElementOf0 @ ( sk__2 @ ( stldt0 @ xB ) @ X0 ) @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl5030]) ).
thf(zip_derived_cl106,plain,
aSet0 @ ( stldt0 @ xB ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5047,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ xB ) @ X0 )
| ( aElementOf0 @ ( sk__2 @ ( stldt0 @ xB ) @ X0 ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5038,zip_derived_cl106]) ).
thf(zip_derived_cl42_005,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl8556,plain,
( ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ~ ( aSet0 @ cS1395 )
| ~ ( aSet0 @ ( stldt0 @ xB ) )
| ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ~ ( aSet0 @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5047,zip_derived_cl42]) ).
thf(zip_derived_cl148_006,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl106_007,plain,
aSet0 @ ( stldt0 @ xB ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl148_008,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl8558,plain,
( ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl8556,zip_derived_cl148,zip_derived_cl106,zip_derived_cl148]) ).
thf(zip_derived_cl8559,plain,
aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl8575,plain,
! [X6: $i] :
( ( aElementOf0 @ X6 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ~ ( zip_tseitin_9 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl7678,zip_derived_cl8559]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ X0 )
| ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl8941,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8575,zip_derived_cl162]) ).
thf(zip_derived_cl882,plain,
( ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( zip_tseitin_12 @ sk__19 )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl7666_009,plain,
aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl7665]) ).
thf(zip_derived_cl7675,plain,
( ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( zip_tseitin_12 @ sk__19 )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl7666]) ).
thf(zip_derived_cl8559_010,plain,
aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl8572,plain,
( ( zip_tseitin_12 @ sk__19 )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7675,zip_derived_cl8559]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8616,plain,
( ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aInteger0 @ sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8572,zip_derived_cl169]) ).
thf(zip_derived_cl886,plain,
! [X7: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( zip_tseitin_9 @ X7 )
| ~ ( aElementOf0 @ X7 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl7666_011,plain,
aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl7665]) ).
thf(zip_derived_cl7679,plain,
! [X7: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( zip_tseitin_9 @ X7 )
| ~ ( aElementOf0 @ X7 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl886,zip_derived_cl7666]) ).
thf(zip_derived_cl8559_012,plain,
aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl8576,plain,
! [X7: $i] :
( ( zip_tseitin_9 @ X7 )
| ~ ( aElementOf0 @ X7 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7679,zip_derived_cl8559]) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl8706,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8576,zip_derived_cl160]) ).
thf(zip_derived_cl8811,plain,
( ( aInteger0 @ sk__19 )
| ( aInteger0 @ sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8616,zip_derived_cl8706]) ).
thf(zip_derived_cl8817,plain,
aInteger0 @ sk__19,
inference(simplify,[status(thm)],[zip_derived_cl8811]) ).
thf(zip_derived_cl107,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ xA ) )
| ( aElementOf0 @ X0 @ xA )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl8818,plain,
( ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) )
| ( aElementOf0 @ sk__19 @ xA ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8817,zip_derived_cl107]) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ xB ) )
| ( aElementOf0 @ X0 @ xB )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl108_013,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5705,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xB )
| ( aElementOf0 @ X0 @ ( stldt0 @ xB ) )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl142,zip_derived_cl108]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( zip_tseitin_12 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xB ) )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl108_014,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5286,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xB ) )
| ( zip_tseitin_12 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl108]) ).
thf(zip_derived_cl881,plain,
( ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ~ ( zip_tseitin_12 @ sk__19 )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl5865,plain,
( ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xB ) )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) )
| ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5286,zip_derived_cl881]) ).
thf(zip_derived_cl5883,plain,
( ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) )
| ( aElementOf0 @ sk__19 @ xB )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) )
| ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5705,zip_derived_cl5865]) ).
thf(zip_derived_cl5885,plain,
( ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ( aElementOf0 @ sk__19 @ xB )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5883]) ).
thf(zip_derived_cl7666_015,plain,
aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl7665]) ).
thf(zip_derived_cl7707,plain,
( ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( aElementOf0 @ sk__19 @ xB )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5885,zip_derived_cl7666]) ).
thf(zip_derived_cl8559_016,plain,
aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl8579,plain,
( ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aElementOf0 @ sk__19 @ xB )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7707,zip_derived_cl8559]) ).
thf(zip_derived_cl9134,plain,
( ( aElementOf0 @ sk__19 @ xA )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aElementOf0 @ sk__19 @ xB ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8818,zip_derived_cl8579]) ).
thf(zip_derived_cl9278,plain,
( ~ ( aInteger0 @ sk__19 )
| ( aElementOf0 @ sk__19 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ( aElementOf0 @ sk__19 @ xA )
| ( aElementOf0 @ sk__19 @ xB ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8941,zip_derived_cl9134]) ).
thf(zip_derived_cl8817_017,plain,
aInteger0 @ sk__19,
inference(simplify,[status(thm)],[zip_derived_cl8811]) ).
thf(zip_derived_cl9281,plain,
( ( aElementOf0 @ sk__19 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ( aElementOf0 @ sk__19 @ xA )
| ( aElementOf0 @ sk__19 @ xB ) ),
inference(demod,[status(thm)],[zip_derived_cl9278,zip_derived_cl8817]) ).
thf(zip_derived_cl877,plain,
! [X1: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( zip_tseitin_8 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl7666_018,plain,
aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl7665]) ).
thf(zip_derived_cl7670,plain,
! [X1: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( zip_tseitin_8 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference(demod,[status(thm)],[zip_derived_cl877,zip_derived_cl7666]) ).
thf(zip_derived_cl8559_019,plain,
aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl8567,plain,
! [X1: $i] :
( ( zip_tseitin_8 @ X1 )
| ~ ( aElementOf0 @ X1 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7670,zip_derived_cl8559]) ).
thf(zip_derived_cl158,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xB )
| ( aElementOf0 @ X0 @ xA )
| ~ ( zip_tseitin_7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl4351,plain,
! [X0: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( aElementOf0 @ X0 @ xA )
| ( aElementOf0 @ X0 @ xB ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl158,zip_derived_cl154]) ).
thf(zip_derived_cl8687,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ( aElementOf0 @ X0 @ xA )
| ( aElementOf0 @ X0 @ xB ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8567,zip_derived_cl4351]) ).
thf(zip_derived_cl9426,plain,
( ( aElementOf0 @ sk__19 @ xB )
| ( aElementOf0 @ sk__19 @ xA ) ),
inference(clc,[status(thm)],[zip_derived_cl9281,zip_derived_cl8687]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xB )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xB ) ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl9428,plain,
( ( aElementOf0 @ sk__19 @ xA )
| ~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xB ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9426,zip_derived_cl144]) ).
thf(zip_derived_cl8572_020,plain,
( ( zip_tseitin_12 @ sk__19 )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7675,zip_derived_cl8559]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ xB ) )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8618,plain,
( ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ xB ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8572,zip_derived_cl171]) ).
thf(zip_derived_cl8576_021,plain,
! [X7: $i] :
( ( zip_tseitin_9 @ X7 )
| ~ ( aElementOf0 @ X7 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7679,zip_derived_cl8559]) ).
thf(zip_derived_cl9426_022,plain,
( ( aElementOf0 @ sk__19 @ xB )
| ( aElementOf0 @ sk__19 @ xA ) ),
inference(clc,[status(thm)],[zip_derived_cl9281,zip_derived_cl8687]) ).
thf(zip_derived_cl876,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395 )
| ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl7666_023,plain,
aSubsetOf0 @ ( stldt0 @ xA ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl7665]) ).
thf(zip_derived_cl7669,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395 )
| ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl876,zip_derived_cl7666]) ).
thf(zip_derived_cl8559_024,plain,
aSubsetOf0 @ ( stldt0 @ xB ) @ cS1395,
inference(simplify,[status(thm)],[zip_derived_cl8558]) ).
thf(zip_derived_cl8566,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7669,zip_derived_cl8559]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ~ ( aElementOf0 @ X0 @ xB ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl4353,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xB )
| ~ ( aInteger0 @ X0 )
| ( zip_tseitin_8 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl156,zip_derived_cl159]) ).
thf(zip_derived_cl8884,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( aElementOf0 @ X0 @ xB )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8566,zip_derived_cl4353]) ).
thf(zip_derived_cl43_025,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X0 @ xB ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5043,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ xB @ X0 )
| ~ ( aSet0 @ xB )
| ( aElementOf0 @ ( sk__2 @ xB @ X0 ) @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl152]) ).
thf(zip_derived_cl141,plain,
aSet0 @ xB,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5052,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ xB @ X0 )
| ( aElementOf0 @ ( sk__2 @ xB @ X0 ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5043,zip_derived_cl141]) ).
thf(zip_derived_cl139,plain,
! [X0: $i] :
( ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ cS1395 ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl43_026,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl43_027,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl42_028,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl5045,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl42]) ).
thf(zip_derived_cl5054,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5045]) ).
thf(mComplement,axiom,
! [W0: $i] :
( ( aSubsetOf0 @ W0 @ cS1395 )
=> ! [W1: $i] :
( ( W1
= ( stldt0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ( ( aInteger0 @ W2 )
& ~ ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( stldt0 @ X0 ) )
| ( aInteger0 @ X2 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aSubsetOf0 @ X0 @ cS1395 ) ),
inference(cnf,[status(esa)],[mComplement]) ).
thf(zip_derived_cl5248,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X1 @ ( stldt0 @ X0 ) )
| ( aInteger0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl5279,plain,
! [X0: $i] :
( ~ ( aSet0 @ cS1395 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) )
| ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5054,zip_derived_cl5248]) ).
thf(zip_derived_cl148_029,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5282,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) )
| ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5279,zip_derived_cl148]) ).
thf(mAddZero,axiom,
! [W0: $i] :
( ( aInteger0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[mAddZero]) ).
thf(zip_derived_cl138_030,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(mIntPlus,axiom,
! [W0: $i,W1: $i] :
( ( ( aInteger0 @ W0 )
& ( aInteger0 @ W1 ) )
=> ( aInteger0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ( aInteger0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mIntPlus]) ).
thf(zip_derived_cl4910,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ cS1395 )
| ~ ( aInteger0 @ X1 )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl4]) ).
thf(zip_derived_cl5054_031,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5045]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( stldt0 @ X0 ) )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ~ ( aSubsetOf0 @ X0 @ cS1395 ) ),
inference(cnf,[status(esa)],[mComplement]) ).
thf(zip_derived_cl5077,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X1 @ ( stldt0 @ X0 ) )
| ~ ( aElementOf0 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl5078,plain,
! [X0: $i] :
( ~ ( aSet0 @ cS1395 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) )
| ~ ( aElementOf0 @ X0 @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5054,zip_derived_cl5077]) ).
thf(zip_derived_cl148_032,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5081,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) )
| ~ ( aElementOf0 @ X0 @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5078,zip_derived_cl148]) ).
thf(zip_derived_cl5109,plain,
! [X0: $i,X1: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X1 )
| ~ ( aElementOf0 @ ( sdtpldt0 @ X1 @ X0 ) @ ( stldt0 @ cS1395 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4910,zip_derived_cl5081]) ).
thf(zip_derived_cl5228,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ sz00 )
| ~ ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5109]) ).
thf(mIntZero,axiom,
aInteger0 @ sz00 ).
thf(zip_derived_cl1,plain,
aInteger0 @ sz00,
inference(cnf,[status(esa)],[mIntZero]) ).
thf(zip_derived_cl5238,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ~ ( aInteger0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5228,zip_derived_cl1]) ).
thf(zip_derived_cl5239,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) )
| ~ ( aInteger0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5238]) ).
thf(zip_derived_cl5293,plain,
! [X0: $i] :
~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) ),
inference(clc,[status(thm)],[zip_derived_cl5282,zip_derived_cl5239]) ).
thf(zip_derived_cl5294,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ cS1395 ) @ X0 )
| ~ ( aSet0 @ ( stldt0 @ cS1395 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl5293]) ).
thf(zip_derived_cl5054_033,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5045]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( stldt0 @ X0 ) )
| ( aSet0 @ X1 )
| ~ ( aSubsetOf0 @ X0 @ cS1395 ) ),
inference(cnf,[status(esa)],[mComplement]) ).
thf(zip_derived_cl5170,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ cS1395 )
| ( aSet0 @ ( stldt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl5171,plain,
( ~ ( aSet0 @ cS1395 )
| ( aSet0 @ ( stldt0 @ cS1395 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5054,zip_derived_cl5170]) ).
thf(zip_derived_cl148_034,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5174,plain,
aSet0 @ ( stldt0 @ cS1395 ),
inference(demod,[status(thm)],[zip_derived_cl5171,zip_derived_cl148]) ).
thf(zip_derived_cl5295,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ cS1395 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5294,zip_derived_cl5174]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( stldt0 @ X0 ) )
| ( aElementOf0 @ X2 @ X1 )
| ( aElementOf0 @ X2 @ X0 )
| ~ ( aInteger0 @ X2 )
| ~ ( aSubsetOf0 @ X0 @ cS1395 ) ),
inference(cnf,[status(esa)],[mComplement]) ).
thf(zip_derived_cl5224,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ cS1395 )
| ~ ( aInteger0 @ X1 )
| ( aElementOf0 @ X1 @ X0 )
| ( aElementOf0 @ X1 @ ( stldt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl6190,plain,
! [X0: $i] :
( ~ ( aSet0 @ cS1395 )
| ~ ( aInteger0 @ X0 )
| ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) )
| ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5295,zip_derived_cl5224]) ).
thf(zip_derived_cl148_035,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5293_036,plain,
! [X0: $i] :
~ ( aElementOf0 @ X0 @ ( stldt0 @ cS1395 ) ),
inference(clc,[status(thm)],[zip_derived_cl5282,zip_derived_cl5239]) ).
thf(zip_derived_cl6195,plain,
! [X0: $i] :
( ~ ( aInteger0 @ X0 )
| ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6190,zip_derived_cl148,zip_derived_cl5293]) ).
thf(zip_derived_cl42_037,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl6204,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( sk__2 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6195,zip_derived_cl42]) ).
thf(zip_derived_cl5295_038,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ cS1395 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5294,zip_derived_cl5174]) ).
thf(zip_derived_cl5170_039,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ X0 @ cS1395 )
| ( aSet0 @ ( stldt0 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl5312,plain,
( ~ ( aSet0 @ cS1395 )
| ( aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5295,zip_derived_cl5170]) ).
thf(zip_derived_cl148_040,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5333,plain,
aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5312,zip_derived_cl148]) ).
thf(zip_derived_cl6205,plain,
! [X0: $i] :
( ~ ( aInteger0 @ ( sk__2 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6204,zip_derived_cl5333]) ).
thf(zip_derived_cl6525,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sk__2 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) @ cS1395 )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl6205]) ).
thf(zip_derived_cl7421,plain,
( ( aSubsetOf0 @ xB @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aSet0 @ xB )
| ( aSubsetOf0 @ xB @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5052,zip_derived_cl6525]) ).
thf(zip_derived_cl5333_041,plain,
aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5312,zip_derived_cl148]) ).
thf(zip_derived_cl141_042,plain,
aSet0 @ xB,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl7424,plain,
( ( aSubsetOf0 @ xB @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ( aSubsetOf0 @ xB @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7421,zip_derived_cl5333,zip_derived_cl141]) ).
thf(zip_derived_cl7425,plain,
aSubsetOf0 @ xB @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7424]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl7426,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aElementOf0 @ X0 @ xB )
| ~ ( aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7425,zip_derived_cl44]) ).
thf(zip_derived_cl5333_043,plain,
aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5312,zip_derived_cl148]) ).
thf(zip_derived_cl7428,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aElementOf0 @ X0 @ xB ) ),
inference(demod,[status(thm)],[zip_derived_cl7426,zip_derived_cl5333]) ).
thf(zip_derived_cl5295_044,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ ( stldt0 @ cS1395 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5294,zip_derived_cl5174]) ).
thf(zip_derived_cl5248_045,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X1 @ ( stldt0 @ X0 ) )
| ( aInteger0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl5313,plain,
! [X0: $i] :
( ~ ( aSet0 @ cS1395 )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5295,zip_derived_cl5248]) ).
thf(zip_derived_cl148_046,plain,
aSet0 @ cS1395,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5334,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5313,zip_derived_cl148]) ).
thf(zip_derived_cl7434,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xB )
| ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7428,zip_derived_cl5334]) ).
thf(zip_derived_cl9015,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xB )
| ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8884,zip_derived_cl7434]) ).
thf(zip_derived_cl161,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl9017,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xB )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9015,zip_derived_cl161]) ).
thf(zip_derived_cl9438,plain,
( ( aElementOf0 @ sk__19 @ xA )
| ~ ( zip_tseitin_9 @ sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9426,zip_derived_cl9017]) ).
thf(zip_derived_cl8566_047,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7669,zip_derived_cl8559]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( zip_tseitin_7 @ X0 )
| ~ ( aElementOf0 @ X0 @ xA ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl159_048,plain,
! [X0: $i] :
( ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_7 @ X0 )
| ~ ( aInteger0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl4352,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xA )
| ~ ( aInteger0 @ X0 )
| ( zip_tseitin_8 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl155,zip_derived_cl159]) ).
thf(zip_derived_cl8883,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( aElementOf0 @ X0 @ xA )
| ~ ( aInteger0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8566,zip_derived_cl4352]) ).
thf(zip_derived_cl43_049,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ cS1395 )
| ~ ( aElementOf0 @ X0 @ xA ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5040,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ xA @ X0 )
| ~ ( aSet0 @ xA )
| ( aElementOf0 @ ( sk__2 @ xA @ X0 ) @ cS1395 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl145]) ).
thf(zip_derived_cl136,plain,
aSet0 @ xA,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl5049,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ xA @ X0 )
| ( aElementOf0 @ ( sk__2 @ xA @ X0 ) @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5040,zip_derived_cl136]) ).
thf(zip_derived_cl6525_050,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sk__2 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) @ cS1395 )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl6205]) ).
thf(zip_derived_cl7343,plain,
( ( aSubsetOf0 @ xA @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aSet0 @ xA )
| ( aSubsetOf0 @ xA @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5049,zip_derived_cl6525]) ).
thf(zip_derived_cl5333_051,plain,
aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5312,zip_derived_cl148]) ).
thf(zip_derived_cl136_052,plain,
aSet0 @ xA,
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl7346,plain,
( ( aSubsetOf0 @ xA @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ( aSubsetOf0 @ xA @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7343,zip_derived_cl5333,zip_derived_cl136]) ).
thf(zip_derived_cl7347,plain,
aSubsetOf0 @ xA @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7346]) ).
thf(zip_derived_cl44_053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubset]) ).
thf(zip_derived_cl7348,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aElementOf0 @ X0 @ xA )
| ~ ( aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7347,zip_derived_cl44]) ).
thf(zip_derived_cl5333_054,plain,
aSet0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ),
inference(demod,[status(thm)],[zip_derived_cl5312,zip_derived_cl148]) ).
thf(zip_derived_cl7350,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ~ ( aElementOf0 @ X0 @ xA ) ),
inference(demod,[status(thm)],[zip_derived_cl7348,zip_derived_cl5333]) ).
thf(zip_derived_cl5334_055,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( stldt0 @ ( stldt0 @ cS1395 ) ) )
| ( aInteger0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5313,zip_derived_cl148]) ).
thf(zip_derived_cl7353,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xA )
| ( aInteger0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7350,zip_derived_cl5334]) ).
thf(zip_derived_cl8967,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xA )
| ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference(clc,[status(thm)],[zip_derived_cl8883,zip_derived_cl7353]) ).
thf(zip_derived_cl161_056,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtbsmnsldt0 @ xA @ xB ) )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl8969,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xA )
| ~ ( zip_tseitin_9 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8967,zip_derived_cl161]) ).
thf(zip_derived_cl9468,plain,
~ ( zip_tseitin_9 @ sk__19 ),
inference(clc,[status(thm)],[zip_derived_cl9438,zip_derived_cl8969]) ).
thf(zip_derived_cl9470,plain,
~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8576,zip_derived_cl9468]) ).
thf(zip_derived_cl9484,plain,
aElementOf0 @ sk__19 @ ( stldt0 @ xB ),
inference('s_sup-',[status(thm)],[zip_derived_cl8618,zip_derived_cl9470]) ).
thf(zip_derived_cl9533,plain,
aElementOf0 @ sk__19 @ xA,
inference(demod,[status(thm)],[zip_derived_cl9428,zip_derived_cl9484]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xA )
| ~ ( aElementOf0 @ X0 @ ( stldt0 @ xA ) ) ),
inference(cnf,[status(esa)],[m__1826]) ).
thf(zip_derived_cl9553,plain,
~ ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9533,zip_derived_cl109]) ).
thf(zip_derived_cl8572_057,plain,
( ( zip_tseitin_12 @ sk__19 )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7675,zip_derived_cl8559]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( stldt0 @ xA ) )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8617,plain,
( ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) )
| ( aElementOf0 @ sk__19 @ ( stldt0 @ xA ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8572,zip_derived_cl170]) ).
thf(zip_derived_cl9470_058,plain,
~ ( aElementOf0 @ sk__19 @ ( stldt0 @ ( sdtbsmnsldt0 @ xA @ xB ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8576,zip_derived_cl9468]) ).
thf(zip_derived_cl9483,plain,
aElementOf0 @ sk__19 @ ( stldt0 @ xA ),
inference('s_sup-',[status(thm)],[zip_derived_cl8617,zip_derived_cl9470]) ).
thf(zip_derived_cl9567,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9553,zip_derived_cl9483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xqk2S6uKZQ true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:50:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.84/2.15 % Solved by fo/fo6_bce.sh.
% 10.84/2.15 % BCE start: 1473
% 10.84/2.15 % BCE eliminated: 0
% 10.84/2.15 % PE start: 1473
% 10.84/2.15 logic: eq
% 10.84/2.15 % PE eliminated: 10
% 10.84/2.15 % done 1735 iterations in 1.421s
% 10.84/2.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.84/2.15 % SZS output start Refutation
% See solution above
% 10.84/2.16
% 10.84/2.16
% 10.84/2.16 % Terminating...
% 11.32/2.25 % Runner terminated.
% 11.32/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------