%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM621+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.csH1YdBhC4 true
% Computer : n005.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 3.55s 1.10s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 17 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 341 ( 28 ~; 22 |; 23 &; 256 @)
% ( 0 <=>; 12 =>; 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 : 24 ( 0 ^; 23 !; 1 ?; 24 :)
% 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(xe_type,type,
xe: $i ).
thf(xx_type,type,
xx: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(xp_type,type,
xp: $i ).
thf(xP_type,type,
xP: $i ).
thf(xd_type,type,
xd: $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__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(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(m__,conjecture,
( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) ) )
=> ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) )
=> ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( sdtlpdtrp0 @ xN @ xm ) ) )
=> ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl477,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl4601,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) )
| ( sdtlseqdt0 @ xx @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl473]) ).
thf(zip_derived_cl5373,plain,
( ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ( sdtlseqdt0 @ xx @ ( sdtlpdtrp0 @ xe @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl4601]) ).
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_cl459,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl458,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl5397,plain,
sdtlseqdt0 @ xx @ xp,
inference(demod,[status(thm)],[zip_derived_cl5373,zip_derived_cl459,zip_derived_cl458]) ).
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_cl5512,plain,
( ~ ( sdtlseqdt0 @ xp @ xx )
| ( xp = xx )
| ~ ( aElementOf0 @ xx @ szNzAzT0 )
| ~ ( aElementOf0 @ xp @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5397,zip_derived_cl56]) ).
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(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl220,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl477_001,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4604,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ xm @ szNzAzT0 )
| ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl220,zip_derived_cl477]) ).
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_cl4606,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4604,zip_derived_cl472]) ).
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_cl5378,plain,
( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ xn ) @ szNzAzT0 )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4606,zip_derived_cl385]) ).
thf(zip_derived_cl458_003,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl459_004,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl5389,plain,
aElementOf0 @ xp @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl5378,zip_derived_cl458,zip_derived_cl459]) ).
thf(zip_derived_cl5517,plain,
( ~ ( sdtlseqdt0 @ xp @ xx )
| ( xp = xx ) ),
inference(demod,[status(thm)],[zip_derived_cl5512,zip_derived_cl468,zip_derived_cl5389]) ).
thf(m__5348,axiom,
( ( aElementOf0 @ xx @ xP )
& ( xx
!= ( szmzizndt0 @ xQ ) )
& ( aElementOf0 @ xx @ xQ )
& ( aElement0 @ xx ) ) ).
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_cl3641,plain,
xx != xp,
inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl441]) ).
thf(zip_derived_cl5518,plain,
~ ( sdtlseqdt0 @ xp @ xx ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5517,zip_derived_cl3641]) ).
thf(zip_derived_cl5522,plain,
~ ( aElementOf0 @ xx @ xQ ),
inference('sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl5518]) ).
thf(zip_derived_cl466,plain,
aElementOf0 @ xx @ xQ,
inference(cnf,[status(esa)],[m__5348]) ).
thf(zip_derived_cl5524,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5522,zip_derived_cl466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM621+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.csH1YdBhC4 true
% 0.13/0.34 % Computer : n005.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 : Wed Oct 1 16:23:53 EDT 2025
% 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.47/0.62 % Total configuration time : 435
% 0.47/0.62 % Estimated wc time : 1092
% 0.47/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.55/1.10 % Solved by fo/fo3_bce.sh.
% 3.55/1.10 % BCE start: 480
% 3.55/1.10 % BCE eliminated: 39
% 3.55/1.10 % PE start: 441
% 3.55/1.10 logic: eq
% 3.55/1.10 % PE eliminated: 5
% 3.55/1.10 % done 417 iterations in 0.380s
% 3.55/1.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.55/1.10 % SZS output start Refutation
% See solution above
% 3.55/1.10
% 3.55/1.10
% 3.55/1.10 % Terminating...
% 3.55/1.13 % Runner terminated.
% 3.55/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------