TSTP Solution File: NUM563+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM563+1 : 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.MW0Wqj1GQd true
% Computer : n009.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 12:42:23 EDT 2023
% Result : Theorem 1.43s 1.19s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 34
% Syntax : Number of formulae : 156 ( 50 unt; 21 typ; 0 def)
% Number of atoms : 313 ( 79 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 951 ( 151 ~; 142 |; 18 &; 622 @)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 107 ( 0 ^; 102 !; 5 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xT_type,type,
xT: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i > $i > $i ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(mImgRng,axiom,
! [W0: $i] :
( ( aFunction0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
=> ( aElementOf0 @ ( sdtlpdtrp0 @ W0 @ W1 ) @ ( sdtlcdtrc0 @ W0 @ ( szDzozmdt0 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ X1 @ X0 ) @ ( sdtlcdtrc0 @ X1 @ ( szDzozmdt0 @ X1 ) ) )
| ~ ( aFunction0 @ X1 ) ),
inference(cnf,[status(esa)],[mImgRng]) ).
thf(m__3453,axiom,
( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
& ( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) )
& ( aFunction0 @ xc ) ) ).
thf(zip_derived_cl149,plain,
aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT,
inference(cnf,[status(esa)],[m__3453]) ).
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_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1377,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
| ~ ( aSet0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl13]) ).
thf(m__3291,axiom,
( ( isFinite0 @ xT )
& ( aSet0 @ xT ) ) ).
thf(zip_derived_cl145,plain,
aSet0 @ xT,
inference(cnf,[status(esa)],[m__3291]) ).
thf(zip_derived_cl1378,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1377,zip_derived_cl145]) ).
thf(zip_derived_cl2620,plain,
! [X0: $i] :
( ~ ( aFunction0 @ xc )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ X0 ) @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl1378]) ).
thf(zip_derived_cl151,plain,
aFunction0 @ xc,
inference(cnf,[status(esa)],[m__3453]) ).
thf(zip_derived_cl2621,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ X0 ) @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl2620,zip_derived_cl151]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl11,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_cl1369,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl1371,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1369]) ).
thf(zip_derived_cl150,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(m__,conjecture,
( ( xK = sz00 )
=> ? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( aSubsetOf0 @ W1 @ xS ) )
& ( aElementOf0 @ W0 @ xT ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( xK = sz00 )
=> ? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( aSubsetOf0 @ W1 @ xS ) )
& ( aElementOf0 @ W0 @ xT ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl156,plain,
xK = sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1356,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl156]) ).
thf(zip_derived_cl158,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( aElementOf0 @ ( sk__21 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ xK ) )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156_001,plain,
xK = sz00,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2952,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( aElementOf0 @ ( sk__21 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ sz00 ) )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl156]) ).
thf(zip_derived_cl2956,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ xS )
| ~ ( isCountable0 @ xS )
| ( aElementOf0 @ ( sk__21 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1356,zip_derived_cl2952]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl147,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl2957,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ xS )
| ( aElementOf0 @ ( sk__21 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl2956,zip_derived_cl147]) ).
thf(zip_derived_cl2958,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ( aElementOf0 @ ( sk__21 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1371,zip_derived_cl2957]) ).
thf(zip_derived_cl148,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1381,plain,
( ( aSet0 @ xS )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl14]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1384,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl2960,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__21 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl2958,zip_derived_cl1384]) ).
thf(zip_derived_cl1356_002,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl156]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl45,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(mDefSel,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ! [W2: $i] :
( ( W2
= ( slbdtsldtrb0 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ( ( aSubsetOf0 @ W3 @ W0 )
& ( ( sbrdtbr0 @ W3 )
= W1 ) ) ) ) ) ) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( ( sbrdtbr0 @ X2 )
= X1 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl2243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ( ( sbrdtbr0 @ X2 )
= sz00 )
| ( X1
!= ( slbdtsldtrb0 @ X0 @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl101]) ).
thf(zip_derived_cl2289,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ xS )
| ~ ( aElementOf0 @ X1 @ X0 )
| ( ( sbrdtbr0 @ X1 )
= sz00 )
| ( X0
!= ( szDzozmdt0 @ xc ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl2243]) ).
thf(zip_derived_cl1384_003,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl2291,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( ( sbrdtbr0 @ X1 )
= sz00 )
| ( X0
!= ( szDzozmdt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2289,zip_derived_cl1384]) ).
thf(zip_derived_cl2326,plain,
! [X0: $i] :
( ( ( sbrdtbr0 @ X0 )
= sz00 )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2291]) ).
thf(mCardEmpty,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( ( sbrdtbr0 @ W0 )
= sz00 )
<=> ( W0 = slcrc0 ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( ( sbrdtbr0 @ X0 )
!= sz00 )
| ( X0 = slcrc0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
thf(zip_derived_cl2330,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ( sz00 != sz00 )
| ( X0 = slcrc0 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2326,zip_derived_cl68]) ).
thf(zip_derived_cl2340,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2330]) ).
thf(zip_derived_cl2963,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xT )
| ~ ( aSet0 @ ( sk__21 @ xS @ X0 ) )
| ( ( sk__21 @ xS @ X0 )
= slcrc0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2960,zip_derived_cl2340]) ).
thf(zip_derived_cl2960_004,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__21 @ xS @ X0 ) @ ( szDzozmdt0 @ xc ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl2958,zip_derived_cl1384]) ).
thf(zip_derived_cl1356_005,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl156]) ).
thf(zip_derived_cl45_006,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( aSubsetOf0 @ X2 @ X0 )
| ( X3
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl2298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X2 @ X1 )
| ( aSubsetOf0 @ X2 @ X0 )
| ( X1
!= ( slbdtsldtrb0 @ X0 @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl102]) ).
thf(zip_derived_cl2691,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ xS )
| ~ ( aElementOf0 @ X1 @ X0 )
| ( aSubsetOf0 @ X1 @ xS )
| ( X0
!= ( szDzozmdt0 @ xc ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl2298]) ).
thf(zip_derived_cl1384_007,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl2693,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ X0 )
| ( aSubsetOf0 @ X1 @ xS )
| ( X0
!= ( szDzozmdt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2691,zip_derived_cl1384]) ).
thf(zip_derived_cl2696,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2693]) ).
thf(zip_derived_cl2965,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xT )
| ( aSubsetOf0 @ ( sk__21 @ xS @ X0 ) @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2960,zip_derived_cl2696]) ).
thf(zip_derived_cl14_008,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl2979,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xT )
| ( aSet0 @ ( sk__21 @ xS @ X0 ) )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2965,zip_derived_cl14]) ).
thf(zip_derived_cl1384_009,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl2986,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xT )
| ( aSet0 @ ( sk__21 @ xS @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2979,zip_derived_cl1384]) ).
thf(zip_derived_cl3123,plain,
! [X0: $i] :
( ( ( sk__21 @ xS @ X0 )
= slcrc0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(clc,[status(thm)],[zip_derived_cl2963,zip_derived_cl2986]) ).
thf(mDefEmp,axiom,
! [W0: $i] :
( ( W0 = slcrc0 )
<=> ( ( aSet0 @ W0 )
& ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl2621_010,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ X0 ) @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl2620,zip_derived_cl151]) ).
thf(zip_derived_cl1371_011,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1369]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( ( sdtlpdtrp0 @ xc @ ( sk__21 @ X0 @ X1 ) )
!= X1 )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1482,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( isCountable0 @ xS )
| ( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ X0 ) )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1371,zip_derived_cl157]) ).
thf(zip_derived_cl1384_012,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl147_013,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1484,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ X0 ) )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1482,zip_derived_cl1384,zip_derived_cl147]) ).
thf(zip_derived_cl2634,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ ( sdtlpdtrp0 @ xc @ X0 ) ) )
!= ( sdtlpdtrp0 @ xc @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2621,zip_derived_cl1484]) ).
thf(zip_derived_cl2636,plain,
( ~ ( aSet0 @ ( szDzozmdt0 @ xc ) )
| ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ ( sdtlpdtrp0 @ xc @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ) )
!= ( sdtlpdtrp0 @ xc @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2634]) ).
thf(zip_derived_cl1356_014,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl156]) ).
thf(zip_derived_cl45_015,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( aSet0 @ X2 )
| ( X2
!= ( slbdtsldtrb0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mDefSel]) ).
thf(zip_derived_cl1746,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aSet0 @ X1 )
| ( X1
!= ( slbdtsldtrb0 @ X0 @ sz00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl100]) ).
thf(zip_derived_cl1779,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ( aSet0 @ X0 )
| ( X0
!= ( szDzozmdt0 @ xc ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl1746]) ).
thf(zip_derived_cl1384_016,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl1781,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0
!= ( szDzozmdt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1779,zip_derived_cl1384]) ).
thf(zip_derived_cl1782,plain,
aSet0 @ ( szDzozmdt0 @ xc ),
inference(eq_res,[status(thm)],[zip_derived_cl1781]) ).
thf(zip_derived_cl2640,plain,
( ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ ( sdtlpdtrp0 @ xc @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ) )
!= ( sdtlpdtrp0 @ xc @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2636,zip_derived_cl1782]) ).
thf(zip_derived_cl1356_017,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl156]) ).
thf(zip_derived_cl45_018,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(mSelNSet,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ~ ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ szNzAzT0 )
=> ( ( slbdtsldtrb0 @ W0 @ W1 )
!= slcrc0 ) ) ) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( ( slbdtsldtrb0 @ X1 @ X0 )
!= slcrc0 )
| ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSelNSet]) ).
thf(zip_derived_cl1838,plain,
! [X0: $i] :
( ( ( slbdtsldtrb0 @ X0 @ sz00 )
!= slcrc0 )
| ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl108]) ).
thf(zip_derived_cl1921,plain,
( ( ( szDzozmdt0 @ xc )
!= slcrc0 )
| ( isFinite0 @ xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1356,zip_derived_cl1838]) ).
thf(zip_derived_cl1384_019,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl1922,plain,
( ( ( szDzozmdt0 @ xc )
!= slcrc0 )
| ( isFinite0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl1384]) ).
thf(zip_derived_cl147_020,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(mCountNFin,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ~ ( isFinite0 @ W0 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ~ ( isFinite0 @ X0 )
| ~ ( isCountable0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCountNFin]) ).
thf(zip_derived_cl1362,plain,
( ~ ( isFinite0 @ xS )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl9]) ).
thf(zip_derived_cl1384_021,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl1385,plain,
~ ( isFinite0 @ xS ),
inference(demod,[status(thm)],[zip_derived_cl1362,zip_derived_cl1384]) ).
thf(zip_derived_cl1923,plain,
( ( szDzozmdt0 @ xc )
!= slcrc0 ),
inference(clc,[status(thm)],[zip_derived_cl1922,zip_derived_cl1385]) ).
thf(zip_derived_cl2641,plain,
( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ ( sdtlpdtrp0 @ xc @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ) )
!= ( sdtlpdtrp0 @ xc @ ( sk_ @ ( szDzozmdt0 @ xc ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2640,zip_derived_cl1923]) ).
thf(zip_derived_cl6_022,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl2340_023,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2330]) ).
thf(zip_derived_cl2341,plain,
( ~ ( aSet0 @ ( szDzozmdt0 @ xc ) )
| ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ~ ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
| ( ( sk_ @ ( szDzozmdt0 @ xc ) )
= slcrc0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2340]) ).
thf(zip_derived_cl1782_024,plain,
aSet0 @ ( szDzozmdt0 @ xc ),
inference(eq_res,[status(thm)],[zip_derived_cl1781]) ).
thf(zip_derived_cl2345,plain,
( ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ~ ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
| ( ( sk_ @ ( szDzozmdt0 @ xc ) )
= slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2341,zip_derived_cl1782]) ).
thf(zip_derived_cl1923_025,plain,
( ( szDzozmdt0 @ xc )
!= slcrc0 ),
inference(clc,[status(thm)],[zip_derived_cl1922,zip_derived_cl1385]) ).
thf(zip_derived_cl2346,plain,
( ~ ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
| ( ( sk_ @ ( szDzozmdt0 @ xc ) )
= slcrc0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2345,zip_derived_cl1923]) ).
thf(zip_derived_cl6_026,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl2696_027,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ xS )
| ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2693]) ).
thf(zip_derived_cl2697,plain,
( ~ ( aSet0 @ ( szDzozmdt0 @ xc ) )
| ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ( aSubsetOf0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2696]) ).
thf(zip_derived_cl1782_028,plain,
aSet0 @ ( szDzozmdt0 @ xc ),
inference(eq_res,[status(thm)],[zip_derived_cl1781]) ).
thf(zip_derived_cl2703,plain,
( ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ( aSubsetOf0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl2697,zip_derived_cl1782]) ).
thf(zip_derived_cl1923_029,plain,
( ( szDzozmdt0 @ xc )
!= slcrc0 ),
inference(clc,[status(thm)],[zip_derived_cl1922,zip_derived_cl1385]) ).
thf(zip_derived_cl2704,plain,
aSubsetOf0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) @ xS,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2703,zip_derived_cl1923]) ).
thf(zip_derived_cl14_030,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl2709,plain,
( ( aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ) )
| ~ ( aSet0 @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2704,zip_derived_cl14]) ).
thf(zip_derived_cl1384_031,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1381,zip_derived_cl44]) ).
thf(zip_derived_cl2716,plain,
aSet0 @ ( sk_ @ ( szDzozmdt0 @ xc ) ),
inference(demod,[status(thm)],[zip_derived_cl2709,zip_derived_cl1384]) ).
thf(zip_derived_cl2749,plain,
( ( sk_ @ ( szDzozmdt0 @ xc ) )
= slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl2346,zip_derived_cl2716]) ).
thf(zip_derived_cl2749_032,plain,
( ( sk_ @ ( szDzozmdt0 @ xc ) )
= slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl2346,zip_derived_cl2716]) ).
thf(zip_derived_cl2756,plain,
( ( sdtlpdtrp0 @ xc @ ( sk__21 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ) )
!= ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2641,zip_derived_cl2749,zip_derived_cl2749]) ).
thf(zip_derived_cl3129,plain,
( ~ ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT )
| ( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3123,zip_derived_cl2756]) ).
thf(zip_derived_cl3146,plain,
~ ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT ),
inference(simplify,[status(thm)],[zip_derived_cl3129]) ).
thf(zip_derived_cl3165,plain,
~ ( aElementOf0 @ slcrc0 @ ( szDzozmdt0 @ xc ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2621,zip_derived_cl3146]) ).
thf(zip_derived_cl2749_033,plain,
( ( sk_ @ ( szDzozmdt0 @ xc ) )
= slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl2346,zip_derived_cl2716]) ).
thf(zip_derived_cl6_034,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( aElementOf0 @ ( sk_ @ X0 ) @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl2761,plain,
( ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ( aElementOf0 @ slcrc0 @ ( szDzozmdt0 @ xc ) )
| ~ ( aSet0 @ ( szDzozmdt0 @ xc ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2749,zip_derived_cl6]) ).
thf(zip_derived_cl1782_035,plain,
aSet0 @ ( szDzozmdt0 @ xc ),
inference(eq_res,[status(thm)],[zip_derived_cl1781]) ).
thf(zip_derived_cl2762,plain,
( ( ( szDzozmdt0 @ xc )
= slcrc0 )
| ( aElementOf0 @ slcrc0 @ ( szDzozmdt0 @ xc ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2761,zip_derived_cl1782]) ).
thf(zip_derived_cl1923_036,plain,
( ( szDzozmdt0 @ xc )
!= slcrc0 ),
inference(clc,[status(thm)],[zip_derived_cl1922,zip_derived_cl1385]) ).
thf(zip_derived_cl2763,plain,
aElementOf0 @ slcrc0 @ ( szDzozmdt0 @ xc ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2762,zip_derived_cl1923]) ).
thf(zip_derived_cl3166,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3165,zip_derived_cl2763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM563+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MW0Wqj1GQd true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 12:05:51 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 1.06/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.06/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.43/1.19 % Solved by fo/fo6_bce.sh.
% 1.43/1.19 % BCE start: 159
% 1.43/1.19 % BCE eliminated: 0
% 1.43/1.19 % PE start: 159
% 1.43/1.19 logic: eq
% 1.43/1.19 % PE eliminated: 1
% 1.43/1.19 % done 427 iterations in 0.444s
% 1.43/1.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/1.19 % SZS output start Refutation
% See solution above
% 1.43/1.19
% 1.43/1.19
% 1.43/1.19 % Terminating...
% 2.53/1.28 % Runner terminated.
% 2.53/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------