%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM619+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2TaNRCMnK0 true
% Computer : n003.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 Oct 2 04:47:39 PM UTC 2025
% Result : Theorem 218.69s 31.91s
% Output : Refutation 218.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 125 ( 51 unt; 0 typ; 0 def)
% Number of atoms : 296 ( 54 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 999 ( 108 ~; 102 |; 40 &; 720 @)
% ( 4 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 31 usr; 16 con; 0-2 aty)
% Number of variables : 85 ( 0 ^; 83 !; 2 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
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(xe_type,type,
xe: $i ).
thf(xx_type,type,
xx: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sk__43_type,type,
sk__43: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(xC_type,type,
xC: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(xT_type,type,
xT: $i ).
thf(xp_type,type,
xp: $i ).
thf(xP_type,type,
xP: $i ).
thf(xd_type,type,
xd: $i ).
thf(xk_type,type,
xk: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(xn_type,type,
xn: $i ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
& ( ( sdtlpdtrp0 @ xd @ xn )
= ( szDzizrdt0 @ xd ) )
& ( aElementOf0 @ xn @ ( szDzozmdt0 @ xd ) ) ) ).
thf(zip_derived_cl458,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ W1 ) )
& ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl385,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ X0 ) @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl5229,plain,
( ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl385]) ).
thf(zip_derived_cl459,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl5238,plain,
aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xn ),
inference(demod,[status(thm)],[zip_derived_cl5229,zip_derived_cl459]) ).
thf(m__3754,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[m__3754]) ).
thf(zip_derived_cl6470,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xn )
| ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5238,zip_derived_cl223]) ).
thf(zip_derived_cl459_001,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl6481,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xn )
| ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6470,zip_derived_cl459]) ).
thf(m__5401,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) )
=> ( sdtlseqdt0 @ xx @ W0 ) ) ).
thf(zip_derived_cl473,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xx @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[m__5401]) ).
thf(zip_derived_cl145851,plain,
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ xm @ xn )
| ( sdtlseqdt0 @ xx @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl6481,zip_derived_cl473]) ).
thf(m__5389,axiom,
( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl472,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl385_002,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ X0 ) @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl473_003,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xx @ X0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[m__5401]) ).
thf(zip_derived_cl5224,plain,
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( sdtlseqdt0 @ xx @ ( sdtlpdtrp0 @ xe @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl473]) ).
thf(zip_derived_cl472_004,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl471,plain,
( xx
= ( sdtlpdtrp0 @ xe @ xm ) ),
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl5241,plain,
sdtlseqdt0 @ xx @ xx,
inference(demod,[status(thm)],[zip_derived_cl5224,zip_derived_cl472,zip_derived_cl471]) ).
thf(m__5147,axiom,
( ( xp
= ( szmzizndt0 @ xQ ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( sdtlseqdt0 @ xp @ W0 ) )
& ( aElementOf0 @ xp @ xQ ) ) ).
thf(zip_derived_cl440,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(mLessTrans,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( aElementOf0 @ W2 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLessTrans]) ).
thf(zip_derived_cl4499,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ xQ )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ xp @ X1 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ xp @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl57]) ).
thf(m__5106,axiom,
( ( aSubsetOf0 @ xQ @ szNzAzT0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5106]) ).
thf(zip_derived_cl439,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl3878,plain,
aElementOf0 @ xp @ szNzAzT0,
inference('sup+',[status(thm)],[zip_derived_cl433,zip_derived_cl439]) ).
thf(zip_derived_cl26327,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ xQ )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ xp @ X1 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4499,zip_derived_cl3878]) ).
thf(zip_derived_cl433_005,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5106]) ).
thf(zip_derived_cl26328,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ xp @ X1 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aElementOf0 @ X0 @ xQ ) ),
inference(clc,[status(thm)],[zip_derived_cl26327,zip_derived_cl433]) ).
thf(zip_derived_cl26374,plain,
( ~ ( aElementOf0 @ xx @ xQ )
| ( sdtlseqdt0 @ xp @ xx )
| ~ ( aElementOf0 @ xx @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5241,zip_derived_cl26328]) ).
thf(m__5348,axiom,
( ( aElementOf0 @ xx @ xP )
& ( xx
!= ( szmzizndt0 @ xQ ) )
& ( aElementOf0 @ xx @ xQ )
& ( aElement0 @ xx ) ) ).
thf(zip_derived_cl466,plain,
aElementOf0 @ xx @ xQ,
inference(cnf,[status(esa)],[m__5348]) ).
thf(m__5365,axiom,
( ? [W0: $i] :
( ( ( sdtlpdtrp0 @ xe @ W0 )
= xx )
& ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
& ( aElementOf0 @ xx @ szNzAzT0 ) ) ).
thf(zip_derived_cl468,plain,
aElementOf0 @ xx @ szNzAzT0,
inference(cnf,[status(esa)],[m__5365]) ).
thf(zip_derived_cl26421,plain,
sdtlseqdt0 @ xp @ xx,
inference(demod,[status(thm)],[zip_derived_cl26374,zip_derived_cl466,zip_derived_cl468]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLessASymm]) ).
thf(zip_derived_cl26430,plain,
( ~ ( sdtlseqdt0 @ xx @ xp )
| ( xx = xp )
| ~ ( aElementOf0 @ xp @ szNzAzT0 )
| ~ ( aElementOf0 @ xx @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26421,zip_derived_cl56]) ).
thf(zip_derived_cl3878_006,plain,
aElementOf0 @ xp @ szNzAzT0,
inference('sup+',[status(thm)],[zip_derived_cl433,zip_derived_cl439]) ).
thf(zip_derived_cl468_007,plain,
aElementOf0 @ xx @ szNzAzT0,
inference(cnf,[status(esa)],[m__5365]) ).
thf(zip_derived_cl26437,plain,
( ~ ( sdtlseqdt0 @ xx @ xp )
| ( xx = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl26430,zip_derived_cl3878,zip_derived_cl468]) ).
thf(zip_derived_cl465,plain,
( xx
!= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5348]) ).
thf(zip_derived_cl441,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl3613,plain,
xx != xp,
inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl441]) ).
thf(zip_derived_cl26438,plain,
~ ( sdtlseqdt0 @ xx @ xp ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl26437,zip_derived_cl3613]) ).
thf(zip_derived_cl145945,plain,
~ ( sdtlseqdt0 @ xm @ xn ),
inference(demod,[status(thm)],[zip_derived_cl145851,zip_derived_cl472,zip_derived_cl26438]) ).
thf(zip_derived_cl472_008,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(mLessTotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
thf(zip_derived_cl4546,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szszuzczcdt0 @ X0 ) @ xm )
| ( sdtlseqdt0 @ xm @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl58]) ).
thf(m__,conjecture,
aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl474,plain,
~ ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl471_009,plain,
( xx
= ( sdtlpdtrp0 @ xe @ xm ) ),
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl385_010,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ X0 ) @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl5230,plain,
( ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl385]) ).
thf(zip_derived_cl472_011,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl5239,plain,
aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ xm ),
inference(demod,[status(thm)],[zip_derived_cl5230,zip_derived_cl472]) ).
thf(zip_derived_cl223_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ~ ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( aElementOf0 @ X2 @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[m__3754]) ).
thf(zip_derived_cl6471,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5239,zip_derived_cl223]) ).
thf(zip_derived_cl472_013,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl6482,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xm )
| ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6471,zip_derived_cl472]) ).
thf(zip_derived_cl146010,plain,
( ~ ( aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0 )
| ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl6482]) ).
thf(mSuccNum,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(mCardSeg,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sbrdtbr0 @ ( slbdtrb0 @ W0 ) )
= W0 ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ( ( sbrdtbr0 @ ( slbdtrb0 @ X0 ) )
= X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mCardSeg]) ).
thf(zip_derived_cl4082,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( ( sbrdtbr0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) )
= ( szszuzczcdt0 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl90]) ).
thf(m__5182,axiom,
? [W0: $i] :
( ( ( sdtlpdtrp0 @ xe @ W0 )
= xp )
& ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).
thf(zip_derived_cl450,plain,
aElementOf0 @ sk__43 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ),
inference(cnf,[status(esa)],[m__5182]) ).
thf(m__4854,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
<=> ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) )
& ( ( sdtlpdtrp0 @ xd @ W0 )
= ( szDzizrdt0 @ xd ) ) ) )
& ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) )
& ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ) ) ).
thf(zip_derived_cl403,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xd ) )
| ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
inference(cnf,[status(esa)],[m__4854]) ).
thf(m__4730,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( ( ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
| ( aSubsetOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) )
& ( ( sbrdtbr0 @ W1 )
= xk ) )
| ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) ) )
=> ( ( sdtlpdtrp0 @ xd @ W0 )
= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) ) ) )
& ( ( szDzozmdt0 @ xd )
= szNzAzT0 )
& ( aFunction0 @ xd ) ) ).
thf(zip_derived_cl389,plain,
( ( szDzozmdt0 @ xd )
= szNzAzT0 ),
inference(cnf,[status(esa)],[m__4730]) ).
thf(zip_derived_cl4511,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl403,zip_derived_cl389]) ).
thf(zip_derived_cl4527,plain,
aElementOf0 @ sk__43 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl4511]) ).
thf(zip_derived_cl13722,plain,
( ( sbrdtbr0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ sk__43 ) ) )
= ( szszuzczcdt0 @ sk__43 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4082,zip_derived_cl4527]) ).
thf(mCardNum,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
<=> ( isFinite0 @ W0 ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ~ ( isFinite0 @ X0 )
| ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(zip_derived_cl29103,plain,
( ( aElementOf0 @ ( szszuzczcdt0 @ sk__43 ) @ szNzAzT0 )
| ~ ( aSet0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ sk__43 ) ) )
| ~ ( isFinite0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ sk__43 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13722,zip_derived_cl60]) ).
thf(zip_derived_cl4527_014,plain,
aElementOf0 @ sk__43 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl4511]) ).
thf(zip_derived_cl43_015,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(mDefSeg,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( W1
= ( slbdtrb0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ( ( aElementOf0 @ W2 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( aSet0 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl4080,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( aSet0 @ X1 )
| ( X1
!= ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl80]) ).
thf(zip_derived_cl13555,plain,
! [X0: $i] :
( ( X0
!= ( slbdtrb0 @ ( szszuzczcdt0 @ sk__43 ) ) )
| ( aSet0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4527,zip_derived_cl4080]) ).
thf(zip_derived_cl14083,plain,
aSet0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ sk__43 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl13555]) ).
thf(zip_derived_cl43_016,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(mSegFin,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( isFinite0 @ ( slbdtrb0 @ W0 ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( isFinite0 @ ( slbdtrb0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSegFin]) ).
thf(zip_derived_cl4081,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( isFinite0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl81]) ).
thf(zip_derived_cl4527_017,plain,
aElementOf0 @ sk__43 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl4511]) ).
thf(zip_derived_cl13627,plain,
isFinite0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ sk__43 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4081,zip_derived_cl4527]) ).
thf(zip_derived_cl29125,plain,
aElementOf0 @ ( szszuzczcdt0 @ sk__43 ) @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl29103,zip_derived_cl14083,zip_derived_cl13627]) ).
thf(zip_derived_cl451,plain,
( ( sdtlpdtrp0 @ xe @ sk__43 )
= xp ),
inference(cnf,[status(esa)],[m__5182]) ).
thf(zip_derived_cl387,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl4621,plain,
( ( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__43 ) ) )
| ~ ( aElementOf0 @ sk__43 @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl451,zip_derived_cl387]) ).
thf(zip_derived_cl4527_018,plain,
aElementOf0 @ sk__43 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl4511]) ).
thf(zip_derived_cl30396,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ sk__43 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4621,zip_derived_cl4527]) ).
thf(zip_derived_cl458_019,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl387_020,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl4617,plain,
( ( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl387]) ).
thf(zip_derived_cl459_021,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl4623,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4617,zip_derived_cl459]) ).
thf(m__3821,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 )
& ( W0 != W1 ) )
=> ~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) )
=> ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W1 ) )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) ),
inference(cnf,[status(esa)],[m__3821]) ).
thf(zip_derived_cl5568,plain,
! [X0: $i] :
( ( xp
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ( xn = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl225]) ).
thf(zip_derived_cl459_022,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl5576,plain,
! [X0: $i] :
( ( xp
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ( xn = X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5568,zip_derived_cl459]) ).
thf(zip_derived_cl73966,plain,
( ( xp != xp )
| ~ ( aElementOf0 @ sk__43 @ szNzAzT0 )
| ( xn = sk__43 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30396,zip_derived_cl5576]) ).
thf(zip_derived_cl4527_023,plain,
aElementOf0 @ sk__43 @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl4511]) ).
thf(zip_derived_cl73975,plain,
( ( xp != xp )
| ( xn = sk__43 ) ),
inference(demod,[status(thm)],[zip_derived_cl73966,zip_derived_cl4527]) ).
thf(zip_derived_cl73976,plain,
xn = sk__43,
inference(simplify,[status(thm)],[zip_derived_cl73975]) ).
thf(zip_derived_cl74058,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl29125,zip_derived_cl73976]) ).
thf(zip_derived_cl146053,plain,
~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ),
inference(demod,[status(thm)],[zip_derived_cl146010,zip_derived_cl74058]) ).
thf(zip_derived_cl146120,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( sdtlseqdt0 @ xm @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl4546,zip_derived_cl146053]) ).
thf(zip_derived_cl459_024,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl146128,plain,
sdtlseqdt0 @ xm @ xn,
inference(demod,[status(thm)],[zip_derived_cl146120,zip_derived_cl459]) ).
thf(zip_derived_cl146135,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl145945,zip_derived_cl146128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : NUM619+3 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2TaNRCMnK0 true
% 0.12/0.36 % Computer : n003.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 16:25:53 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.37 % Python version: Python 3.6.8
% 0.12/0.37 % Running in FO mode
% 0.48/0.63 % Total configuration time : 435
% 0.48/0.63 % Estimated wc time : 1092
% 0.48/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 218.69/31.91 % Solved by fo/fo3_bce.sh.
% 218.69/31.91 % BCE start: 475
% 218.69/31.91 % BCE eliminated: 39
% 218.69/31.91 % PE start: 436
% 218.69/31.91 logic: eq
% 218.69/31.91 % PE eliminated: 5
% 218.69/31.91 % done 16797 iterations in 31.153s
% 218.69/31.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 218.69/31.91 % SZS output start Refutation
% See solution above
% 218.69/31.91
% 218.69/31.91
% 218.69/31.91 % Terminating...
% 219.22/32.01 % Runner terminated.
% 219.22/32.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------