TSTP Solution File: NUM574+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WOyLoctOhz true
% Computer : n015.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 12:42:27 EDT 2023
% Result : Theorem 1.83s 1.01s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 79 ( 26 unt; 18 typ; 0 def)
% Number of atoms : 131 ( 33 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 375 ( 50 ~; 36 |; 14 &; 255 @)
% ( 1 <=>; 13 =>; 6 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 25 !; 2 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
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(sk__4_type,type,
sk__4: $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(xS_type,type,
xS: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(xi_type,type,
xi: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xj_type,type,
xj: $i ).
thf(mSubRefl,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aSubsetOf0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mSubRefl]) ).
thf(m__,conjecture,
( ( sdtlseqdt0 @ xj @ xi )
=> ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( sdtlseqdt0 @ xj @ xi )
=> ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl172,plain,
~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__3786,axiom,
( ( aElementOf0 @ xi @ szNzAzT0 )
& ( aElementOf0 @ xj @ szNzAzT0 ) ) ).
thf(zip_derived_cl167,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__3786]) ).
thf(mNatExtra,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( W0 = sz00 )
| ? [W1: $i] :
( ( W0
= ( szszuzczcdt0 @ W1 ) )
& ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( X0
= ( szszuzczcdt0 @ ( sk__4 @ X0 ) ) )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatExtra]) ).
thf(m__3786_02,axiom,
( ( ( sdtlseqdt0 @ xj @ xi )
& ? [W0: $i] :
( ( ( szszuzczcdt0 @ W0 )
= xi )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
=> ( ( sdtlseqdt0 @ xj @ xi )
=> ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ xj @ xi )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( ( szszuzczcdt0 @ X0 )
!= xi )
| ~ ( sdtlseqdt0 @ xj @ xi ) ),
inference(cnf,[status(esa)],[m__3786_02]) ).
thf(zip_derived_cl173,plain,
( ! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= xi )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) )
<= ! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= xi )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl174,plain,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) )
<= ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl172_001,plain,
~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl172]) ).
thf(zip_derived_cl171,plain,
sdtlseqdt0 @ xj @ xi,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl175,plain,
( ~ ( sdtlseqdt0 @ xj @ xi )
<= ~ ( sdtlseqdt0 @ xj @ xi ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('1',plain,
sdtlseqdt0 @ xj @ xi,
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl175]) ).
thf('2',plain,
( ! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= xi )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) )
| ~ ( sdtlseqdt0 @ xj @ xi )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('3',plain,
! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= xi )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sat_resolution*',[status(thm)],['0','1','2']) ).
thf(zip_derived_cl179,plain,
! [X0: $i] :
( ( ( szszuzczcdt0 @ X0 )
!= xi )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl173,'3']) ).
thf(zip_derived_cl393,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( X0 = sz00 )
| ( X0 != xi )
| ~ ( aElementOf0 @ ( sk__4 @ X0 ) @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl179]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__4 @ X0 ) @ szNzAzT0 )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mNatExtra]) ).
thf(zip_derived_cl748,plain,
! [X0: $i] :
( ( X0 != xi )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(clc,[status(thm)],[zip_derived_cl393,zip_derived_cl50]) ).
thf(zip_derived_cl770,plain,
( ( xi != xi )
| ( xi = sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl748]) ).
thf(zip_derived_cl780,plain,
xi = sz00,
inference(simplify,[status(thm)],[zip_derived_cl770]) ).
thf(m__3623,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( aFunction0 @ xN ) ) ).
thf(zip_derived_cl162,plain,
( ( sdtlpdtrp0 @ xN @ sz00 )
= xS ),
inference(cnf,[status(esa)],[m__3623]) ).
thf(zip_derived_cl817,plain,
~ ( aSubsetOf0 @ xS @ ( sdtlpdtrp0 @ xN @ xj ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl780,zip_derived_cl162]) ).
thf(zip_derived_cl171_002,plain,
sdtlseqdt0 @ xj @ xi,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl780_003,plain,
xi = sz00,
inference(simplify,[status(thm)],[zip_derived_cl770]) ).
thf(zip_derived_cl816,plain,
sdtlseqdt0 @ xj @ sz00,
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl780]) ).
thf(mLessASymm,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl59,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_cl1024,plain,
( ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
| ~ ( aElementOf0 @ xj @ szNzAzT0 )
| ( sz00 = xj )
| ~ ( sdtlseqdt0 @ sz00 @ xj ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl816,zip_derived_cl59]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl45,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(zip_derived_cl168,plain,
aElementOf0 @ xj @ szNzAzT0,
inference(cnf,[status(esa)],[m__3786]) ).
thf(zip_derived_cl1033,plain,
( ( sz00 = xj )
| ~ ( sdtlseqdt0 @ sz00 @ xj ) ),
inference(demod,[status(thm)],[zip_derived_cl1024,zip_derived_cl45,zip_derived_cl168]) ).
thf(zip_derived_cl1044,plain,
( ( sz00 = xj )
<= ( sz00 = xj ) ),
inference(split,[status(esa)],[zip_derived_cl1033]) ).
thf(mZeroLess,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ sz00 @ W0 ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mZeroLess]) ).
thf(zip_derived_cl1043,plain,
( ~ ( sdtlseqdt0 @ sz00 @ xj )
<= ~ ( sdtlseqdt0 @ sz00 @ xj ) ),
inference(split,[status(esa)],[zip_derived_cl1033]) ).
thf(zip_derived_cl1046,plain,
( ~ ( aElementOf0 @ xj @ szNzAzT0 )
<= ~ ( sdtlseqdt0 @ sz00 @ xj ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1043]) ).
thf(zip_derived_cl168_004,plain,
aElementOf0 @ xj @ szNzAzT0,
inference(cnf,[status(esa)],[m__3786]) ).
thf('4',plain,
sdtlseqdt0 @ sz00 @ xj,
inference(demod,[status(thm)],[zip_derived_cl1046,zip_derived_cl168]) ).
thf('5',plain,
( ( sz00 = xj )
| ~ ( sdtlseqdt0 @ sz00 @ xj ) ),
inference(split,[status(esa)],[zip_derived_cl1033]) ).
thf('6',plain,
sz00 = xj,
inference('sat_resolution*',[status(thm)],['4','5']) ).
thf(zip_derived_cl1076,plain,
sz00 = xj,
inference(simpl_trail,[status(thm)],[zip_derived_cl1044,'6']) ).
thf(zip_derived_cl162_005,plain,
( ( sdtlpdtrp0 @ xN @ sz00 )
= xS ),
inference(cnf,[status(esa)],[m__3623]) ).
thf(zip_derived_cl1080,plain,
~ ( aSubsetOf0 @ xS @ xS ),
inference(demod,[status(thm)],[zip_derived_cl817,zip_derived_cl1076,zip_derived_cl162]) ).
thf(zip_derived_cl1124,plain,
~ ( aSet0 @ xS ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1080]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl148,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
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_cl236,plain,
( ( aSet0 @ xS )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,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_cl238,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl44]) ).
thf(zip_derived_cl1126,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1124,zip_derived_cl238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM574+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WOyLoctOhz true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 15:33:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.83/1.01 % Solved by fo/fo1_av.sh.
% 1.83/1.01 % done 380 iterations in 0.233s
% 1.83/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.83/1.01 % SZS output start Refutation
% See solution above
% 1.83/1.01
% 1.83/1.01
% 1.83/1.01 % Terminating...
% 2.22/1.08 % Runner terminated.
% 2.22/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------