%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM622+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qjCPGy1ixf true
% Computer : n026.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 04:47:40 PM UTC 2025
% Result : Theorem 17.60s 4.66s
% Output : Refutation 17.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 118 ( 32 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 354 ( 51 ~; 39 |; 13 &; 239 @)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 11 con; 0-2 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(xx_type,type,
xx: $i ).
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(sz00_type,type,
sz00: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(xe_type,type,
xe: $i ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(xd_type,type,
xd: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xm_type,type,
xm: $i ).
thf(xp_type,type,
xp: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl41,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
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_cl77,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( aSet0 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl1587,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0
!= ( slbdtrb0 @ sz00 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl77]) ).
thf(mSegZero,axiom,
( ( slbdtrb0 @ sz00 )
= slcrc0 ) ).
thf(zip_derived_cl78,plain,
( ( slbdtrb0 @ sz00 )
= slcrc0 ),
inference(cnf,[status(esa)],[mSegZero]) ).
thf(zip_derived_cl1594,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0 != slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1587,zip_derived_cl78]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(mDefMin,axiom,
! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( W0 != slcrc0 ) )
=> ! [W1: $i] :
( ( W1
= ( szmzizndt0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ W0 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W1 @ W2 ) ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( aElementOf0 @ X1 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl2010,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( ( sdtlpdtrp0 @ xN @ X0 )
= slcrc0 )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( X1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl69]) ).
thf(m__5461,axiom,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) ).
thf(zip_derived_cl204,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ),
inference(cnf,[status(esa)],[m__5461]) ).
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_cl9,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_cl1829,plain,
! [X0: $i] :
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl9]) ).
thf(m__,conjecture,
aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl205,plain,
~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xm ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8753,plain,
( ~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl205]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl144_001,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl2011,plain,
! [X0: $i] :
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl144]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl40,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl2014,plain,
! [X0: $i] :
( ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2011,zip_derived_cl40]) ).
thf(zip_derived_cl13950,plain,
( ~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xn ) )
| ~ ( aElementOf0 @ xm @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8753,zip_derived_cl2014]) ).
thf(m__5389,axiom,
( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl201,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl13955,plain,
~ ( aElementOf0 @ xp @ ( sdtlpdtrp0 @ xN @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl13950,zip_derived_cl201]) ).
thf(zip_derived_cl13964,plain,
( ( xp
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2010,zip_derived_cl13955]) ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).
thf(zip_derived_cl193,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl1956,plain,
( ( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl164]) ).
thf(zip_derived_cl194,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl1959,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1956,zip_derived_cl194]) ).
thf(zip_derived_cl194_002,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl13966,plain,
( ( xp != xp )
| ( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13964,zip_derived_cl1959,zip_derived_cl194]) ).
thf(zip_derived_cl13967,plain,
( ( sdtlpdtrp0 @ xN @ xn )
= slcrc0 ),
inference(simplify,[status(thm)],[zip_derived_cl13966]) ).
thf(mCountNFin_01,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ( W0 != slcrc0 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( X0 != slcrc0 )
| ~ ( isCountable0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCountNFin_01]) ).
thf(zip_derived_cl145,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl1641,plain,
! [X0: $i] :
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( ( sdtlpdtrp0 @ xN @ X0 )
!= slcrc0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl145]) ).
thf(zip_derived_cl1643,plain,
! [X0: $i] :
( ~ ( aSet0 @ slcrc0 )
| ( ( sdtlpdtrp0 @ xN @ X0 )
!= slcrc0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1641]) ).
thf(zip_derived_cl13990,plain,
( ( slcrc0 != slcrc0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aSet0 @ slcrc0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13967,zip_derived_cl1643]) ).
thf(zip_derived_cl194_003,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl14012,plain,
( ( slcrc0 != slcrc0 )
| ~ ( aSet0 @ slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13990,zip_derived_cl194]) ).
thf(zip_derived_cl14013,plain,
~ ( aSet0 @ slcrc0 ),
inference(simplify,[status(thm)],[zip_derived_cl14012]) ).
thf(zip_derived_cl14038,plain,
slcrc0 != slcrc0,
inference('sup-',[status(thm)],[zip_derived_cl1594,zip_derived_cl14013]) ).
thf(zip_derived_cl14042,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl14038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : NUM622+1 : TPTP v9.2.0. Released v4.0.0.
% 0.05/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qjCPGy1ixf true
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Oct 1 16:19:08 EDT 2025
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.6.8
% 0.11/0.38 % Running in FO mode
% 0.18/0.61 % Total configuration time : 435
% 0.18/0.61 % Estimated wc time : 1092
% 0.18/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.94/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.94/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.84/1.23 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 17.60/4.66 % Solved by fo/fo3_bce.sh.
% 17.60/4.66 % BCE start: 206
% 17.60/4.66 % BCE eliminated: 4
% 17.60/4.66 % PE start: 202
% 17.60/4.66 logic: eq
% 17.60/4.66 % PE eliminated: 0
% 17.60/4.66 % done 2966 iterations in 3.820s
% 17.60/4.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.60/4.66 % SZS output start Refutation
% See solution above
% 17.60/4.66
% 17.60/4.66
% 17.60/4.66 % Terminating...
% 18.24/4.84 % Runner terminated.
% 18.28/4.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------