%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM612+1 : 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.3MHWimt4GP true
% Computer : n019.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 04:47:38 PM UTC 2025
% Result : Theorem 18.62s 7.80s
% Output : Refutation 18.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 73 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 155 ( 29 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 398 ( 60 ~; 52 |; 12 &; 256 @)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xQ_type,type,
xQ: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(xP_type,type,
xP: $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xe_type,type,
xe: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(xd_type,type,
xd: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(xO_type,type,
xO: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xK_type,type,
xK: $i ).
thf(xp_type,type,
xp: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__5078,axiom,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) ).
thf(zip_derived_cl175,plain,
aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ),
inference(cnf,[status(esa)],[m__5078]) ).
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_cl95,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_cl1970,plain,
! [X0: $i,X1: $i] :
( ( ( slbdtsldtrb0 @ xO @ xK )
!= ( slbdtsldtrb0 @ X1 @ X0 ) )
| ( ( sbrdtbr0 @ xQ )
= X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aSet0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl95]) ).
thf(zip_derived_cl16095,plain,
( ~ ( aSet0 @ xO )
| ~ ( aElementOf0 @ xK @ szNzAzT0 )
| ( ( sbrdtbr0 @ xQ )
= xK ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1970]) ).
thf(m__4891,axiom,
( ( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
& ( aSet0 @ xO ) ) ).
thf(zip_derived_cl168,plain,
aSet0 @ xO,
inference(cnf,[status(esa)],[m__4891]) ).
thf(m__3418,axiom,
aElementOf0 @ xK @ szNzAzT0 ).
thf(zip_derived_cl132,plain,
aElementOf0 @ xK @ szNzAzT0,
inference(cnf,[status(esa)],[m__3418]) ).
thf(zip_derived_cl16096,plain,
( ( sbrdtbr0 @ xQ )
= xK ),
inference(demod,[status(thm)],[zip_derived_cl16095,zip_derived_cl168,zip_derived_cl132]) ).
thf(mCardNum,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
<=> ( isFinite0 @ W0 ) ) ) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(zip_derived_cl16104,plain,
( ~ ( aElementOf0 @ xK @ szNzAzT0 )
| ~ ( aSet0 @ xQ )
| ( isFinite0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl16096,zip_derived_cl64]) ).
thf(zip_derived_cl132_001,plain,
aElementOf0 @ xK @ szNzAzT0,
inference(cnf,[status(esa)],[m__3418]) ).
thf(m__5106,axiom,
aSubsetOf0 @ xQ @ szNzAzT0 ).
thf(zip_derived_cl178,plain,
aSubsetOf0 @ xQ @ szNzAzT0,
inference(cnf,[status(esa)],[m__5106]) ).
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_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl1369,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ xQ ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,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_cl1370,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1369,zip_derived_cl44]) ).
thf(m__5195,axiom,
aSubsetOf0 @ xP @ xQ ).
thf(zip_derived_cl185,plain,
aSubsetOf0 @ xP @ xQ,
inference(cnf,[status(esa)],[m__5195]) ).
thf(mSubFSet,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ( isFinite0 @ W1 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( isFinite0 @ X0 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubFSet]) ).
thf(zip_derived_cl1469,plain,
( ~ ( aSet0 @ xQ )
| ~ ( isFinite0 @ xQ )
| ( isFinite0 @ xP ) ),
inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl15]) ).
thf(zip_derived_cl1370_002,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1369,zip_derived_cl44]) ).
thf(zip_derived_cl1474,plain,
( ~ ( isFinite0 @ xQ )
| ( isFinite0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl1469,zip_derived_cl1370]) ).
thf(m__5164,axiom,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl181,plain,
( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(m__5147,axiom,
( xp
= ( szmzizndt0 @ xQ ) ) ).
thf(zip_derived_cl180,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl1412,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl180]) ).
thf(mConsDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
= W0 ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mConsDiff]) ).
thf(zip_derived_cl1564,plain,
( ( ( sdtpldt0 @ xP @ xp )
= xQ )
| ~ ( aSet0 @ xQ )
| ~ ( aElementOf0 @ xp @ xQ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1412,zip_derived_cl37]) ).
thf(zip_derived_cl1370_003,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1369,zip_derived_cl44]) ).
thf(m__5173,axiom,
aElementOf0 @ xp @ xQ ).
thf(zip_derived_cl183,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5173]) ).
thf(zip_derived_cl1565,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl1370,zip_derived_cl183]) ).
thf(mFConsSet,axiom,
! [W0: $i] :
( ( aElement0 @ W0 )
=> ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( isFinite0 @ W1 ) )
=> ( isFinite0 @ ( sdtpldt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( isFinite0 @ X0 )
| ( isFinite0 @ ( sdtpldt0 @ X0 @ X1 ) )
| ~ ( aElement0 @ X1 ) ),
inference(cnf,[status(esa)],[mFConsSet]) ).
thf(zip_derived_cl2309,plain,
( ( isFinite0 @ xQ )
| ~ ( aElement0 @ xp )
| ~ ( isFinite0 @ xP )
| ~ ( aSet0 @ xP ) ),
inference('sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl41]) ).
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(m__5182,axiom,
aElementOf0 @ xp @ xO ).
thf(zip_derived_cl184,plain,
aElementOf0 @ xp @ xO,
inference(cnf,[status(esa)],[m__5182]) ).
thf(zip_derived_cl1404,plain,
( ~ ( aSet0 @ xO )
| ( aElement0 @ xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl184]) ).
thf(zip_derived_cl168_004,plain,
aSet0 @ xO,
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl1406,plain,
aElement0 @ xp,
inference(demod,[status(thm)],[zip_derived_cl1404,zip_derived_cl168]) ).
thf(zip_derived_cl182,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl2314,plain,
( ( isFinite0 @ xQ )
| ~ ( isFinite0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl2309,zip_derived_cl1406,zip_derived_cl182]) ).
thf(zip_derived_cl1412_005,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl180]) ).
thf(mCardDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( ( isFinite0 @ W0 )
& ( aElementOf0 @ W1 @ W0 ) )
=> ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ W0 @ W1 ) ) )
= ( sbrdtbr0 @ W0 ) ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ X1 @ X0 ) ) )
= ( sbrdtbr0 @ X1 ) )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mCardDiff]) ).
thf(zip_derived_cl2272,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
= ( sbrdtbr0 @ xQ ) )
| ~ ( aSet0 @ xQ )
| ~ ( isFinite0 @ xQ )
| ~ ( aElementOf0 @ xp @ xQ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1412,zip_derived_cl68]) ).
thf(zip_derived_cl1370_006,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1369,zip_derived_cl44]) ).
thf(zip_derived_cl183_007,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5173]) ).
thf(zip_derived_cl2273,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
= ( sbrdtbr0 @ xQ ) )
| ~ ( isFinite0 @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl2272,zip_derived_cl1370,zip_derived_cl183]) ).
thf(m__,conjecture,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
= ( sbrdtbr0 @ xQ ) )
& ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
= ( sbrdtbr0 @ xQ ) )
& ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl187,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
!= ( sbrdtbr0 @ xQ ) )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ~ ( isFinite0 @ X0 )
| ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(zip_derived_cl1815,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
!= ( sbrdtbr0 @ xQ ) )
| ~ ( aSet0 @ xP )
| ~ ( isFinite0 @ xP ) ),
inference('sup+',[status(thm)],[zip_derived_cl187,zip_derived_cl63]) ).
thf(zip_derived_cl182_008,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl1820,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
!= ( sbrdtbr0 @ xQ ) )
| ~ ( isFinite0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl1815,zip_derived_cl182]) ).
thf(zip_derived_cl2282,plain,
( ( ( sbrdtbr0 @ xQ )
!= ( sbrdtbr0 @ xQ ) )
| ~ ( isFinite0 @ xQ )
| ~ ( isFinite0 @ xP ) ),
inference('sup-',[status(thm)],[zip_derived_cl2273,zip_derived_cl1820]) ).
thf(zip_derived_cl2284,plain,
( ~ ( isFinite0 @ xP )
| ~ ( isFinite0 @ xQ ) ),
inference(simplify,[status(thm)],[zip_derived_cl2282]) ).
thf(zip_derived_cl3196,plain,
~ ( isFinite0 @ xP ),
inference(clc,[status(thm)],[zip_derived_cl2314,zip_derived_cl2284]) ).
thf(zip_derived_cl3252,plain,
~ ( isFinite0 @ xQ ),
inference(clc,[status(thm)],[zip_derived_cl1474,zip_derived_cl3196]) ).
thf(zip_derived_cl16120,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16104,zip_derived_cl132,zip_derived_cl1370,zip_derived_cl3252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/1.06 % Problem : NUM612+1 : TPTP v9.2.0. Released v4.0.0.
% 0.08/1.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3MHWimt4GP true
% 0.09/1.55 % Computer : n019.cluster.edu
% 0.09/1.55 % Model : x86_64 x86_64
% 0.09/1.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.55 % Memory : 8042.1875MB
% 0.09/1.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/1.55 % CPULimit : 300
% 0.09/1.55 % WCLimit : 300
% 0.09/1.55 % DateTime : Wed Oct 1 16:43:24 EDT 2025
% 0.09/1.56 % CPUTime :
% 0.09/1.56 % Running portfolio for 300 s
% 0.09/1.56 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/1.57 % Number of cores: 8
% 0.09/1.59 % Python version: Python 3.6.8
% 0.09/1.60 % Running in FO mode
% 0.22/2.03 % Total configuration time : 435
% 0.22/2.03 % Estimated wc time : 1092
% 0.22/2.03 % Estimated cpu time (7 cpus) : 156.0
% 0.82/2.30 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/2.31 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/2.37 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/2.38 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.83/2.40 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.83/2.42 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.83/2.42 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 18.62/7.80 % Solved by fo/fo3_bce.sh.
% 18.62/7.80 % BCE start: 188
% 18.62/7.80 % BCE eliminated: 4
% 18.62/7.80 % PE start: 184
% 18.62/7.80 logic: eq
% 18.62/7.80 % PE eliminated: 0
% 18.62/7.80 % done 3196 iterations in 5.360s
% 18.62/7.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 18.62/7.80 % SZS output start Refutation
% See solution above
% 18.62/7.80
% 18.62/7.80
% 18.62/7.80 % Terminating...
% 18.89/7.91 % Runner terminated.
% 18.89/7.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------