TSTP Solution File: LAT387+4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT387+4 : 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.6q5Kzd6jIg true
% Computer : n004.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 06:47:33 EDT 2023
% Result : Theorem 1.39s 1.20s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 68
% Syntax : Number of formulae : 213 ( 63 unt; 45 typ; 0 def)
% Number of atoms : 483 ( 56 equ; 0 cnn)
% Maximal formula atoms : 37 ( 2 avg)
% Number of connectives : 1530 ( 149 ~; 166 |; 85 &;1066 @)
% ( 3 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 37 usr; 9 con; 0-3 aty)
% Number of variables : 123 ( 0 ^; 119 !; 4 ?; 123 :)
% Comments :
%------------------------------------------------------------------------------
thf(xP_type,type,
xP: $i ).
thf(xT_type,type,
xT: $i ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isOn0_type,type,
isOn0: $i > $i > $o ).
thf(cS1142_type,type,
cS1142: $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(xU_type,type,
xU: $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(cS1241_type,type,
cS1241: $i > $i > $i > $i ).
thf(aUpperBoundOfIn0_type,type,
aUpperBoundOfIn0: $i > $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(aLowerBoundOfIn0_type,type,
aLowerBoundOfIn0: $i > $i > $i > $o ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(aInfimumOfIn0_type,type,
aInfimumOfIn0: $i > $i > $i > $o ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(xf_type,type,
xf: $i ).
thf(aFixedPointOf0_type,type,
aFixedPointOf0: $i > $i > $o ).
thf(isMonotone0_type,type,
isMonotone0: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(szRzazndt0_type,type,
szRzazndt0: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $o ).
thf(aCompleteLattice0_type,type,
aCompleteLattice0: $i > $o ).
thf(aSupremumOfIn0_type,type,
aSupremumOfIn0: $i > $i > $i > $o ).
thf(m__1144,axiom,
( ( xS
= ( cS1142 @ xf ) )
& ! [W0: $i] :
( ( ( ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
& ( ( sdtlpdtrp0 @ xf @ W0 )
= W0 ) )
| ( aFixedPointOf0 @ W0 @ xf ) )
=> ( aElementOf0 @ W0 @ xS ) )
& ( ( aElementOf0 @ W0 @ xS )
=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
& ( ( sdtlpdtrp0 @ xf @ W0 )
= W0 )
& ( aFixedPointOf0 @ W0 @ xf ) ) ) )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xf @ X0 )
= X0 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(cnf,[status(esa)],[m__1144]) ).
thf(m__1299,axiom,
( ( aUpperBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xT @ xU )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( sdtlseqdt0 @ W0 @ ( sdtlpdtrp0 @ xf @ xp ) ) )
& ( aLowerBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP @ xU )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ W0 ) ) ) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ ( sdtlpdtrp0 @ xf @ xp ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(cnf,[status(esa)],[m__1299]) ).
thf(m__1261,axiom,
( ( aInfimumOfIn0 @ xp @ xP @ xU )
& ( aElementOf0 @ xp @ xU )
& ( aLowerBoundOfIn0 @ xp @ xP @ xU )
& ! [W0: $i] :
( ( ( ( aElementOf0 @ W0 @ xU )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ xP )
=> ( sdtlseqdt0 @ W0 @ W1 ) ) )
| ( aLowerBoundOfIn0 @ W0 @ xP @ xU ) )
=> ( sdtlseqdt0 @ W0 @ xp ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( sdtlseqdt0 @ xp @ W0 ) ) ) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(cnf,[status(esa)],[m__1261]) ).
thf(m__1123,axiom,
( ( aSet0 @ xU )
& ! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ xU )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xU ) )
& ( aSet0 @ W0 ) ) )
=> ? [W1: $i] :
( ( aElementOf0 @ W1 @ xU )
& ( aElementOf0 @ W1 @ xU )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) )
& ( aLowerBoundOfIn0 @ W1 @ W0 @ xU )
& ! [W2: $i] :
( ( ( aLowerBoundOfIn0 @ W2 @ W0 @ xU )
| ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
& ( aElementOf0 @ W2 @ xU ) ) )
=> ( sdtlseqdt0 @ W2 @ W1 ) )
& ( aInfimumOfIn0 @ W1 @ W0 @ xU )
& ? [W2: $i] :
( ( aElementOf0 @ W2 @ xU )
& ( aElementOf0 @ W2 @ xU )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W3 @ W2 ) )
& ( aUpperBoundOfIn0 @ W2 @ W0 @ xU )
& ! [W3: $i] :
( ( ( aUpperBoundOfIn0 @ W3 @ W0 @ xU )
| ( ! [W4: $i] :
( ( aElementOf0 @ W4 @ W0 )
=> ( sdtlseqdt0 @ W4 @ W3 ) )
& ( aElementOf0 @ W3 @ xU ) ) )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
& ( aSupremumOfIn0 @ W2 @ W0 @ xU ) ) ) )
& ( aCompleteLattice0 @ xU )
& ( aFunction0 @ xf )
& ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xf ) )
& ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ ( sdtlpdtrp0 @ xf @ W1 ) ) ) )
& ( isMonotone0 @ xf )
& ( ( szDzozmdt0 @ xf )
= ( szRzazndt0 @ xf ) )
& ( ( szRzazndt0 @ xf )
= xU )
& ( isOn0 @ xf @ xU ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_7 @ W1 @ W0 )
=> ( ? [W2: $i] : ( zip_tseitin_6 @ W2 @ W0 )
& ( aInfimumOfIn0 @ W1 @ W0 @ xU )
& ! [W2: $i] :
( ( zip_tseitin_3 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W1 ) )
& ( aLowerBoundOfIn0 @ W1 @ W0 @ xU )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) )
& ( aElementOf0 @ W1 @ xU )
& ( aElementOf0 @ W1 @ xU ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_6: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W2: $i,W0: $i] :
( ( zip_tseitin_6 @ W2 @ W0 )
=> ( ( aSupremumOfIn0 @ W2 @ W0 @ xU )
& ! [W3: $i] :
( ( zip_tseitin_5 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
& ( aUpperBoundOfIn0 @ W2 @ W0 @ xU )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W3 @ W2 ) )
& ( aElementOf0 @ W2 @ xU )
& ( aElementOf0 @ W2 @ xU ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_5: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W3: $i,W0: $i] :
( ( ( ( aElementOf0 @ W3 @ xU )
& ! [W4: $i] : ( zip_tseitin_4 @ W4 @ W3 @ W0 ) )
| ( aUpperBoundOfIn0 @ W3 @ W0 @ xU ) )
=> ( zip_tseitin_5 @ W3 @ W0 ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [W4: $i,W3: $i,W0: $i] :
( ( ( aElementOf0 @ W4 @ W0 )
=> ( sdtlseqdt0 @ W4 @ W3 ) )
=> ( zip_tseitin_4 @ W4 @ W3 @ W0 ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [W2: $i,W0: $i] :
( ( ( ( aElementOf0 @ W2 @ xU )
& ! [W3: $i] : ( zip_tseitin_2 @ W3 @ W2 @ W0 ) )
| ( aLowerBoundOfIn0 @ W2 @ W0 @ xU ) )
=> ( zip_tseitin_3 @ W2 @ W0 ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [W3: $i,W2: $i,W0: $i] :
( ( ( aElementOf0 @ W3 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W3 ) )
=> ( zip_tseitin_2 @ W3 @ W2 @ W0 ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_13,axiom,
! [W0: $i] :
( ( ( ( aSet0 @ W0 )
& ! [W1: $i] : ( zip_tseitin_0 @ W1 @ W0 ) )
| ( aSubsetOf0 @ W0 @ xU ) )
=> ( zip_tseitin_1 @ W0 ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_15,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xU ) )
=> ( zip_tseitin_0 @ W1 @ W0 ) ) ).
thf(zf_stmt_16,axiom,
( ( isOn0 @ xf @ xU )
& ( ( szRzazndt0 @ xf )
= xU )
& ( ( szDzozmdt0 @ xf )
= ( szRzazndt0 @ xf ) )
& ( isMonotone0 @ xf )
& ! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xf ) )
& ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xf ) ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ ( sdtlpdtrp0 @ xf @ W1 ) ) ) )
& ( aFunction0 @ xf )
& ( aCompleteLattice0 @ xU )
& ! [W0: $i] :
( ( zip_tseitin_1 @ W0 )
=> ? [W1: $i] : ( zip_tseitin_7 @ W1 @ W0 ) )
& ( aSet0 @ xU ) ) ).
thf(zip_derived_cl85,plain,
( ( szRzazndt0 @ xf )
= xU ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(mImgSort,axiom,
! [W0: $i] :
( ( aFunction0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
=> ( aElementOf0 @ ( sdtlpdtrp0 @ W0 @ W1 ) @ ( szRzazndt0 @ W0 ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ X1 @ X0 ) @ ( szRzazndt0 @ X1 ) )
| ~ ( aFunction0 @ X1 ) ),
inference(cnf,[status(esa)],[mImgSort]) ).
thf(zip_derived_cl1415,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xf ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ xU )
| ~ ( aFunction0 @ xf ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl44]) ).
thf(zip_derived_cl84,plain,
( ( szDzozmdt0 @ xf )
= ( szRzazndt0 @ xf ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl85_001,plain,
( ( szRzazndt0 @ xf )
= xU ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1200,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl81,plain,
aFunction0 @ xf,
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1417,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xU )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ xU ) ),
inference(demod,[status(thm)],[zip_derived_cl1415,zip_derived_cl1200,zip_derived_cl81]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1438,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xU )
| ( aElement0 @ ( sdtlpdtrp0 @ xf @ X0 ) )
| ~ ( aSet0 @ xU ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1417,zip_derived_cl2]) ).
thf(zip_derived_cl78,plain,
aSet0 @ xU,
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1441,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xU )
| ( aElement0 @ ( sdtlpdtrp0 @ xf @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1438,zip_derived_cl78]) ).
thf(zip_derived_cl114,plain,
aLowerBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP @ xU,
inference(cnf,[status(esa)],[m__1299]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aLowerBoundOfIn0 @ X0 @ xP @ xU ) ),
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1453,plain,
sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xp,
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl109]) ).
thf(mASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElement0 @ W0 )
& ( aElement0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ~ ( aElement0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mASymm]) ).
thf(zip_derived_cl1466,plain,
( ~ ( aElement0 @ xp )
| ~ ( aElement0 @ ( sdtlpdtrp0 @ xf @ xp ) )
| ( xp
= ( sdtlpdtrp0 @ xf @ xp ) )
| ~ ( sdtlseqdt0 @ xp @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1453,zip_derived_cl11]) ).
thf(zip_derived_cl111,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl1210,plain,
( ( aElement0 @ xp )
| ~ ( aSet0 @ xU ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl2]) ).
thf(zip_derived_cl78_003,plain,
aSet0 @ xU,
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1211,plain,
aElement0 @ xp,
inference(demod,[status(thm)],[zip_derived_cl1210,zip_derived_cl78]) ).
thf(zip_derived_cl1469,plain,
( ~ ( aElement0 @ ( sdtlpdtrp0 @ xf @ xp ) )
| ( xp
= ( sdtlpdtrp0 @ xf @ xp ) )
| ~ ( sdtlseqdt0 @ xp @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1466,zip_derived_cl1211]) ).
thf(zip_derived_cl1475,plain,
( ~ ( aElementOf0 @ xp @ xU )
| ( xp
= ( sdtlpdtrp0 @ xf @ xp ) )
| ~ ( sdtlseqdt0 @ xp @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1441,zip_derived_cl1469]) ).
thf(zip_derived_cl111_004,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1477,plain,
( ( xp
= ( sdtlpdtrp0 @ xf @ xp ) )
| ~ ( sdtlseqdt0 @ xp @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1475,zip_derived_cl111]) ).
thf(zip_derived_cl1493,plain,
( ~ ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP )
| ( xp
= ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl1477]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xf ) )
| ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ xf ) )
| ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ ( sdtlpdtrp0 @ xf @ X1 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1200_005,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl1200_006,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl1479,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ xU )
| ~ ( aElementOf0 @ X1 @ xU )
| ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ ( sdtlpdtrp0 @ xf @ X1 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl1200,zip_derived_cl1200]) ).
thf(zip_derived_cl114_007,plain,
aLowerBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP @ xU,
inference(cnf,[status(esa)],[m__1299]) ).
thf(mDefLB,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ! [W2: $i] :
( ( aLowerBoundOfIn0 @ W2 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W2 @ W0 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W1 )
=> ( sdtlseqdt0 @ W2 @ W3 ) ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aLowerBoundOfIn0 @ X2 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefLB]) ).
thf(zip_derived_cl1334,plain,
( ~ ( aSubsetOf0 @ xP @ xU )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xU )
| ~ ( aSet0 @ xU ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl13]) ).
thf(zip_derived_cl78_008,plain,
aSet0 @ xU,
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1337,plain,
( ~ ( aSubsetOf0 @ xP @ xU )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xU ) ),
inference(demod,[status(thm)],[zip_derived_cl1334,zip_derived_cl78]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(m__1244,axiom,
( ( xP
= ( cS1241 @ xU @ xf @ xT ) )
& ! [W0: $i] :
( ( ( ( aElementOf0 @ W0 @ xU )
& ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ W0 )
& ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xT )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
| ( aUpperBoundOfIn0 @ W0 @ xT @ xU ) ) )
=> ( aElementOf0 @ W0 @ xP ) )
& ( ( aElementOf0 @ W0 @ xP )
=> ( ( aElementOf0 @ W0 @ xU )
& ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ W0 ) @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ xT )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
& ( aUpperBoundOfIn0 @ W0 @ xT @ xU ) ) ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xU )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl1361,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ xP @ X0 )
| ~ ( aSet0 @ xP )
| ( aElementOf0 @ ( sk__1 @ xP @ X0 ) @ xU ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl101]) ).
thf(zip_derived_cl97,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl1363,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ xP @ X0 )
| ( aElementOf0 @ ( sk__1 @ xP @ X0 ) @ xU ) ),
inference(demod,[status(thm)],[zip_derived_cl1361,zip_derived_cl97]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl2599,plain,
( ( aSubsetOf0 @ xP @ xU )
| ~ ( aSet0 @ xU )
| ~ ( aSet0 @ xP )
| ( aSubsetOf0 @ xP @ xU )
| ~ ( aSet0 @ xU ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1363,zip_derived_cl5]) ).
thf(zip_derived_cl78_009,plain,
aSet0 @ xU,
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl97_010,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl78_011,plain,
aSet0 @ xU,
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl2603,plain,
( ( aSubsetOf0 @ xP @ xU )
| ( aSubsetOf0 @ xP @ xU ) ),
inference(demod,[status(thm)],[zip_derived_cl2599,zip_derived_cl78,zip_derived_cl97,zip_derived_cl78]) ).
thf(zip_derived_cl2604,plain,
aSubsetOf0 @ xP @ xU,
inference(simplify,[status(thm)],[zip_derived_cl2603]) ).
thf(zip_derived_cl2605,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xU,
inference(demod,[status(thm)],[zip_derived_cl1337,zip_derived_cl2604]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xP )
| ~ ( aUpperBoundOfIn0 @ X0 @ xT @ xU )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ X0 )
| ~ ( aElementOf0 @ X0 @ xU ) ),
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl2621,plain,
( ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP )
| ~ ( aUpperBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xT @ xU )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ ( sdtlpdtrp0 @ xf @ xp ) ) @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2605,zip_derived_cl98]) ).
thf(zip_derived_cl116,plain,
aUpperBoundOfIn0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xT @ xU,
inference(cnf,[status(esa)],[m__1299]) ).
thf(zip_derived_cl2643,plain,
( ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ ( sdtlpdtrp0 @ xf @ xp ) ) @ ( sdtlpdtrp0 @ xf @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2621,zip_derived_cl116]) ).
thf(zip_derived_cl2762,plain,
( ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xp )
| ~ ( aElementOf0 @ xp @ xU )
| ~ ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xU )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1479,zip_derived_cl2643]) ).
thf(zip_derived_cl1453_012,plain,
sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xp,
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl109]) ).
thf(zip_derived_cl111_013,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl2605_014,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xU,
inference(demod,[status(thm)],[zip_derived_cl1337,zip_derived_cl2604]) ).
thf(zip_derived_cl2766,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xf @ xp ) @ xP,
inference(demod,[status(thm)],[zip_derived_cl2762,zip_derived_cl1453,zip_derived_cl111,zip_derived_cl2605]) ).
thf(zip_derived_cl2779,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2825,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl2779]) ).
thf(m__,conjecture,
( ( ( aFixedPointOf0 @ xp @ xf )
| ( ( ( sdtlpdtrp0 @ xf @ xp )
= xp )
& ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) ) ) )
& ( ( aSupremumOfIn0 @ xp @ xT @ xS )
| ( ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xS )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ xT )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
& ( aUpperBoundOfIn0 @ W0 @ xT @ xS ) )
=> ( sdtlseqdt0 @ xp @ W0 ) )
& ( ( aUpperBoundOfIn0 @ xp @ xT @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( sdtlseqdt0 @ W0 @ xp ) ) ) ) ) ) ).
thf(zf_stmt_17,negated_conjecture,
~ ( ( ( aFixedPointOf0 @ xp @ xf )
| ( ( ( sdtlpdtrp0 @ xf @ xp )
= xp )
& ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) ) ) )
& ( ( aSupremumOfIn0 @ xp @ xT @ xS )
| ( ! [W0: $i] :
( ( ( aElementOf0 @ W0 @ xS )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ xT )
=> ( sdtlseqdt0 @ W1 @ W0 ) )
& ( aUpperBoundOfIn0 @ W0 @ xT @ xS ) )
=> ( sdtlseqdt0 @ xp @ W0 ) )
& ( ( aUpperBoundOfIn0 @ xp @ xT @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( sdtlseqdt0 @ W0 @ xp ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl131,plain,
( ~ ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) )
| ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aElementOf0 @ sk__18 @ xS )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1200_015,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl111_016,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1312,plain,
( ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aElementOf0 @ sk__18 @ xS )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl1200,zip_derived_cl111]) ).
thf(zip_derived_cl2779_017,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2837,plain,
( ( xp != xp )
| ( aElementOf0 @ sk__18 @ xS )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1312,zip_derived_cl2779]) ).
thf(zip_derived_cl2838,plain,
( ~ ( sdtlseqdt0 @ sk__19 @ xp )
| ( aElementOf0 @ sk__18 @ xS ) ),
inference(simplify,[status(thm)],[zip_derived_cl2837]) ).
thf(zip_derived_cl2970,plain,
( ~ ( aElementOf0 @ sk__19 @ xT )
| ( aElementOf0 @ sk__18 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2825,zip_derived_cl2838]) ).
thf(zip_derived_cl132,plain,
( ~ ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) )
| ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aElementOf0 @ sk__18 @ xS )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1200_018,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl111_019,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1352,plain,
( ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aElementOf0 @ sk__18 @ xS )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl1200,zip_derived_cl111]) ).
thf(zip_derived_cl2779_020,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2845,plain,
( ( xp != xp )
| ( aElementOf0 @ sk__18 @ xS )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1352,zip_derived_cl2779]) ).
thf(zip_derived_cl2846,plain,
( ( aElementOf0 @ sk__19 @ xT )
| ( aElementOf0 @ sk__18 @ xS ) ),
inference(simplify,[status(thm)],[zip_derived_cl2845]) ).
thf(zip_derived_cl3050,plain,
aElementOf0 @ sk__18 @ xS,
inference(clc,[status(thm)],[zip_derived_cl2970,zip_derived_cl2846]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xf ) )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(cnf,[status(esa)],[m__1144]) ).
thf(zip_derived_cl1200_021,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl1318,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xU )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl1200]) ).
thf(zip_derived_cl3055,plain,
aElementOf0 @ sk__18 @ xU,
inference('s_sup-',[status(thm)],[zip_derived_cl3050,zip_derived_cl1318]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xP )
| ( aElementOf0 @ ( sk__16 @ X0 ) @ xT )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ X0 )
| ~ ( aElementOf0 @ X0 @ xU ) ),
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl3110,plain,
( ( aElementOf0 @ sk__18 @ xP )
| ( aElementOf0 @ ( sk__16 @ sk__18 ) @ xT )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3055,zip_derived_cl100]) ).
thf(zip_derived_cl106_022,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl2825_023,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl2779]) ).
thf(zip_derived_cl140,plain,
( ~ ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) )
| ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1200_024,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl111_025,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1234,plain,
( ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl1200,zip_derived_cl111]) ).
thf(zip_derived_cl2779_026,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2831,plain,
( ( xp != xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1234,zip_derived_cl2779]) ).
thf(zip_derived_cl2832,plain,
( ~ ( sdtlseqdt0 @ sk__19 @ xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2831]) ).
thf(zip_derived_cl2966,plain,
( ~ ( aElementOf0 @ sk__19 @ xT )
| ~ ( sdtlseqdt0 @ xp @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2825,zip_derived_cl2832]) ).
thf(zip_derived_cl141,plain,
( ~ ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) )
| ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1200_027,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl111_028,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1315,plain,
( ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl1200,zip_derived_cl111]) ).
thf(zip_derived_cl2779_029,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2839,plain,
( ( xp != xp )
| ~ ( sdtlseqdt0 @ xp @ sk__18 )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1315,zip_derived_cl2779]) ).
thf(zip_derived_cl2840,plain,
( ( aElementOf0 @ sk__19 @ xT )
| ~ ( sdtlseqdt0 @ xp @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2839]) ).
thf(zip_derived_cl2991,plain,
~ ( sdtlseqdt0 @ xp @ sk__18 ),
inference(clc,[status(thm)],[zip_derived_cl2966,zip_derived_cl2840]) ).
thf(zip_derived_cl2993,plain,
~ ( aElementOf0 @ sk__18 @ xP ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl2991]) ).
thf(zip_derived_cl3129,plain,
( ( aElementOf0 @ ( sk__16 @ sk__18 ) @ xT )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl3110,zip_derived_cl2993]) ).
thf(zip_derived_cl2825_030,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl2779]) ).
thf(zip_derived_cl137,plain,
( ~ ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) )
| ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1200_031,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl111_032,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1323,plain,
( ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl1200,zip_derived_cl111]) ).
thf(zip_derived_cl2779_033,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2841,plain,
( ( xp != xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS )
| ~ ( sdtlseqdt0 @ sk__19 @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1323,zip_derived_cl2779]) ).
thf(zip_derived_cl2842,plain,
( ~ ( sdtlseqdt0 @ sk__19 @ xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS ) ),
inference(simplify,[status(thm)],[zip_derived_cl2841]) ).
thf(zip_derived_cl2989,plain,
( ~ ( aElementOf0 @ sk__19 @ xT )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2825,zip_derived_cl2842]) ).
thf(zip_derived_cl138,plain,
( ~ ( aElementOf0 @ xp @ ( szDzozmdt0 @ xf ) )
| ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1200_034,plain,
( ( szDzozmdt0 @ xf )
= xU ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl85]) ).
thf(zip_derived_cl111_035,plain,
aElementOf0 @ xp @ xU,
inference(cnf,[status(esa)],[m__1261]) ).
thf(zip_derived_cl1355,plain,
( ( ( sdtlpdtrp0 @ xf @ xp )
!= xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl1200,zip_derived_cl111]) ).
thf(zip_derived_cl2779_036,plain,
( xp
= ( sdtlpdtrp0 @ xf @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl1493,zip_derived_cl2766]) ).
thf(zip_derived_cl2847,plain,
( ( xp != xp )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS )
| ( aElementOf0 @ sk__19 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1355,zip_derived_cl2779]) ).
thf(zip_derived_cl2848,plain,
( ( aElementOf0 @ sk__19 @ xT )
| ( aUpperBoundOfIn0 @ sk__18 @ xT @ xS ) ),
inference(simplify,[status(thm)],[zip_derived_cl2847]) ).
thf(zip_derived_cl3062,plain,
aUpperBoundOfIn0 @ sk__18 @ xT @ xS,
inference(clc,[status(thm)],[zip_derived_cl2989,zip_derived_cl2848]) ).
thf(mDefUB,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ! [W2: $i] :
( ( aUpperBoundOfIn0 @ W2 @ W1 @ W0 )
<=> ( ( aElementOf0 @ W2 @ W0 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W1 )
=> ( sdtlseqdt0 @ W3 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aUpperBoundOfIn0 @ X2 @ X0 @ X1 )
| ( sdtlseqdt0 @ X3 @ X2 )
| ~ ( aElementOf0 @ X3 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefUB]) ).
thf(zip_derived_cl3064,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xT @ xS )
| ( sdtlseqdt0 @ X0 @ sk__18 )
| ~ ( aElementOf0 @ X0 @ xT )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3062,zip_derived_cl18]) ).
thf(m__1173,axiom,
( ( aSubsetOf0 @ xT @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( aElementOf0 @ W0 @ xS ) )
& ( aSet0 @ xT ) ) ).
thf(zip_derived_cl96,plain,
aSubsetOf0 @ xT @ xS,
inference(cnf,[status(esa)],[m__1173]) ).
thf(zip_derived_cl87,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__1144]) ).
thf(zip_derived_cl3066,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ sk__18 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl3064,zip_derived_cl96,zip_derived_cl87]) ).
thf(zip_derived_cl3055_037,plain,
aElementOf0 @ sk__18 @ xU,
inference('s_sup-',[status(thm)],[zip_derived_cl3050,zip_derived_cl1318]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xP )
| ~ ( sdtlseqdt0 @ ( sk__16 @ X0 ) @ X0 )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ X0 ) @ X0 )
| ~ ( aElementOf0 @ X0 @ xU ) ),
inference(cnf,[status(esa)],[m__1244]) ).
thf(zip_derived_cl3109,plain,
( ( aElementOf0 @ sk__18 @ xP )
| ~ ( sdtlseqdt0 @ ( sk__16 @ sk__18 ) @ sk__18 )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3055,zip_derived_cl99]) ).
thf(zip_derived_cl2993_038,plain,
~ ( aElementOf0 @ sk__18 @ xP ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl2991]) ).
thf(zip_derived_cl3128,plain,
( ~ ( sdtlseqdt0 @ ( sk__16 @ sk__18 ) @ sk__18 )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18 ) ),
inference(demod,[status(thm)],[zip_derived_cl3109,zip_derived_cl2993]) ).
thf(zip_derived_cl3225,plain,
( ~ ( aElementOf0 @ ( sk__16 @ sk__18 ) @ xT )
| ~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3066,zip_derived_cl3128]) ).
thf(zip_derived_cl3338,plain,
~ ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xf @ sk__18 ) @ sk__18 ),
inference(clc,[status(thm)],[zip_derived_cl3129,zip_derived_cl3225]) ).
thf(zip_derived_cl3342,plain,
( ~ ( aElementOf0 @ sk__18 @ xS )
| ~ ( sdtlseqdt0 @ sk__18 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl3338]) ).
thf(zip_derived_cl3050_039,plain,
aElementOf0 @ sk__18 @ xS,
inference(clc,[status(thm)],[zip_derived_cl2970,zip_derived_cl2846]) ).
thf(zip_derived_cl3050_040,plain,
aElementOf0 @ sk__18 @ xS,
inference(clc,[status(thm)],[zip_derived_cl2970,zip_derived_cl2846]) ).
thf(zip_derived_cl2_041,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl3051,plain,
( ( aElement0 @ sk__18 )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3050,zip_derived_cl2]) ).
thf(zip_derived_cl87_042,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__1144]) ).
thf(zip_derived_cl3059,plain,
aElement0 @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl3051,zip_derived_cl87]) ).
thf(mARefl,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aElement0 @ X0 ) ),
inference(cnf,[status(esa)],[mARefl]) ).
thf(zip_derived_cl3073,plain,
sdtlseqdt0 @ sk__18 @ sk__18,
inference('s_sup-',[status(thm)],[zip_derived_cl3059,zip_derived_cl10]) ).
thf(zip_derived_cl3344,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3342,zip_derived_cl3050,zip_derived_cl3073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT387+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6q5Kzd6jIg true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 06:24:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /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
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.39/1.20 % Solved by fo/fo6_bce.sh.
% 1.39/1.20 % BCE start: 143
% 1.39/1.20 % BCE eliminated: 1
% 1.39/1.20 % PE start: 142
% 1.39/1.20 logic: eq
% 1.39/1.20 % PE eliminated: 10
% 1.39/1.20 % done 576 iterations in 0.474s
% 1.39/1.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.39/1.20 % SZS output start Refutation
% See solution above
% 1.39/1.20
% 1.39/1.20
% 1.39/1.20 % Terminating...
% 1.89/1.26 % Runner terminated.
% 1.89/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------