TSTP Solution File: NUM603+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM603+3 : 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.WVFqjPWfXg true
% Computer : n022.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 12:42:40 EDT 2023
% Result : Theorem 4.77s 1.36s
% Output : Refutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 41
% Syntax : Number of formulae : 53 ( 7 unt; 29 typ; 0 def)
% Number of atoms : 92 ( 8 equ; 0 cnn)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 397 ( 15 ~; 14 |; 31 &; 314 @)
% ( 3 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% 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(xe_type,type,
xe: $i ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $i > $o ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
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(zip_tseitin_21_type,type,
zip_tseitin_21: $i > $i > $o ).
thf(xx_type,type,
xx: $i ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $i > $i > $o ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(xN_type,type,
xN: $i ).
thf(xi_type,type,
xi: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__,conjecture,
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( aElementOf0 @ W0 @ xS ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS )
| ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( aElementOf0 @ W0 @ xS ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl426,plain,
~ ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mZeroLess,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( sdtlseqdt0 @ sz00 @ W0 ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz00 @ X0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mZeroLess]) ).
thf(m__3754,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( sdtlseqdt0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( sdtlpdtrp0 @ xN @ X1 ) )
| ~ ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[m__3754]) ).
thf(zip_derived_cl7100,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ ( sdtlpdtrp0 @ xN @ sz00 ) )
| ~ ( aElementOf0 @ sz00 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl222]) ).
thf(m__3623,axiom,
( ( aFunction0 @ xN )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
| ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
=> ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( aElement0 @ W1 ) ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
& ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_23: $i > $o ).
thf(zf_stmt_2,axiom,
! [W0: $i] :
( ( zip_tseitin_23 @ W0 )
=> ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ! [W1: $i] : ( zip_tseitin_22 @ W1 @ W0 )
& ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) )
=> ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_22: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_22 @ W1 @ W0 )
=> ( ( aElementOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
<=> ( zip_tseitin_21 @ W1 @ W0 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_21: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_21 @ W1 @ W0 )
<=> ( ( aElement0 @ W1 )
& ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ( W1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_8,axiom,
! [W0: $i] :
( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
& ! [W1: $i] : ( zip_tseitin_19 @ W1 @ W0 ) )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) )
=> ( zip_tseitin_20 @ W0 ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W1: $i,W0: $i] :
( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
=> ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( zip_tseitin_19 @ W1 @ W0 ) ) ).
thf(zf_stmt_11,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( ( zip_tseitin_20 @ W0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) )
=> ( zip_tseitin_23 @ W0 ) ) )
& ( ( sdtlpdtrp0 @ xN @ sz00 )
= xS )
& ( ( szDzozmdt0 @ xN )
= szNzAzT0 )
& ( aFunction0 @ xN ) ) ).
thf(zip_derived_cl215,plain,
( ( sdtlpdtrp0 @ xN @ sz00 )
= xS ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl42,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(zip_derived_cl7116,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ xS )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7100,zip_derived_cl215,zip_derived_cl42]) ).
thf(zip_derived_cl7117,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ xS )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7116]) ).
thf(zip_derived_cl7173,plain,
~ ( aElementOf0 @ xi @ szNzAzT0 ),
inference('sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl7117]) ).
thf(m__5034,axiom,
( ( ( sdtlpdtrp0 @ xe @ xi )
= xx )
& ( aElementOf0 @ xi @ szNzAzT0 ) ) ).
thf(zip_derived_cl423,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__5034]) ).
thf(zip_derived_cl7179,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl7173,zip_derived_cl423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM603+3 : 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.WVFqjPWfXg true
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 14:09:10 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.77/1.36 % Solved by fo/fo3_bce.sh.
% 4.77/1.36 % BCE start: 427
% 4.77/1.36 % BCE eliminated: 39
% 4.77/1.36 % PE start: 388
% 4.77/1.36 logic: eq
% 4.77/1.36 % PE eliminated: 5
% 4.77/1.36 % done 851 iterations in 0.621s
% 4.77/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.77/1.36 % SZS output start Refutation
% See solution above
% 4.77/1.36
% 4.77/1.36
% 4.77/1.36 % Terminating...
% 5.06/1.45 % Runner terminated.
% 5.06/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------