TSTP Solution File: NUM620+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM620+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9RKBbFzTgH 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 Aug 31 12:42:47 EDT 2023
% Result : Theorem 19.04s 3.35s
% Output : Refutation 19.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 68 ( 19 unt; 21 typ; 0 def)
% Number of atoms : 96 ( 18 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 305 ( 30 ~; 26 |; 11 &; 226 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 27 !; 1 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(xx_type,type,
xx: $i ).
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
thf(aSet0_type,type,
aSet0: $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(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(isFinite0_type,type,
isFinite0: $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(m__5389,axiom,
( ( xx
= ( sdtlpdtrp0 @ xe @ xm ) )
& ( aElementOf0 @ xm @ szNzAzT0 ) ) ).
thf(zip_derived_cl222,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl364,plain,
isCountable0 @ ( sdtlpdtrp0 @ xN @ xm ),
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl166]) ).
thf(zip_derived_cl222_001,plain,
aElementOf0 @ xm @ szNzAzT0,
inference(cnf,[status(esa)],[m__5389]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl474,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl165]) ).
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_cl77,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( aElementOf0 @ X1 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl1427,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl77]) ).
thf(m__5401,axiom,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ) ).
thf(zip_derived_cl223,plain,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) ),
inference(cnf,[status(esa)],[m__5401]) ).
thf(zip_derived_cl1436,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( X0 != xx ) ),
inference(demod,[status(thm)],[zip_derived_cl1427,zip_derived_cl223]) ).
thf(zip_derived_cl13770,plain,
( ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1436]) ).
thf(m__,conjecture,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
=> ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
=> ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl224,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xm ) @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl392,plain,
! [X0: $i] :
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl13]) ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).
thf(zip_derived_cl215,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(mSuccNum,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl301,plain,
aElementOf0 @ ( szszuzczcdt0 @ xn ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl46]) ).
thf(zip_derived_cl165_002,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl467,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) @ szNzAzT0,
inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl165]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl2986,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl467,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_cl3003,plain,
aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ),
inference(demod,[status(thm)],[zip_derived_cl2986,zip_derived_cl44]) ).
thf(zip_derived_cl3231,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xm ) )
| ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl3003]) ).
thf(zip_derived_cl13844,plain,
( ( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 )
| ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13770,zip_derived_cl3231]) ).
thf(zip_derived_cl225,plain,
~ ( aElementOf0 @ xx @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ xn ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13852,plain,
( ( sdtlpdtrp0 @ xN @ xm )
= slcrc0 ),
inference(clc,[status(thm)],[zip_derived_cl13844,zip_derived_cl225]) ).
thf(mDefEmp,axiom,
! [W0: $i] :
( ( W0 = slcrc0 )
<=> ( ( aSet0 @ W0 )
& ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0 != slcrc0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl227,plain,
aSet0 @ slcrc0,
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
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_cl273,plain,
( ~ ( isCountable0 @ slcrc0 )
| ~ ( isFinite0 @ slcrc0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl9]) ).
thf(mEmpFin,axiom,
isFinite0 @ slcrc0 ).
thf(zip_derived_cl7,plain,
isFinite0 @ slcrc0,
inference(cnf,[status(esa)],[mEmpFin]) ).
thf(zip_derived_cl278,plain,
~ ( isCountable0 @ slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl7]) ).
thf(zip_derived_cl13855,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl13852,zip_derived_cl278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM620+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9RKBbFzTgH true
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Aug 25 13:22:23 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.33 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.63 % Estimated wc time : 1092
% 0.19/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 19.04/3.35 % Solved by fo/fo5.sh.
% 19.04/3.35 % done 2754 iterations in 2.591s
% 19.04/3.35 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.04/3.35 % SZS output start Refutation
% See solution above
% 19.04/3.35
% 19.04/3.35
% 19.04/3.35 % Terminating...
% 19.83/3.44 % Runner terminated.
% 19.83/3.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------