TSTP Solution File: NUM604+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM604+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.0gOK3FQoye true
% Computer : n026.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 12:42:41 EDT 2023
% Result : Theorem 19.01s 3.38s
% Output : Refutation 19.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 71 ( 21 unt; 19 typ; 0 def)
% Number of atoms : 114 ( 32 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 308 ( 44 ~; 38 |; 12 &; 202 @)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% 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(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(xN_type,type,
xN: $i ).
thf(xS_type,type,
xS: $i ).
thf(xe_type,type,
xe: $i ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xi_type,type,
xi: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl39,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(mDefSeg,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ! [W1: $i] :
( ( W1
= ( slbdtrb0 @ W0 ) )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
<=> ( ( aElementOf0 @ W2 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W2 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( slbdtrb0 @ X0 ) )
| ( aSet0 @ X1 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefSeg]) ).
thf(zip_derived_cl1314,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0
!= ( slbdtrb0 @ sz00 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl67]) ).
thf(mSegZero,axiom,
( ( slbdtrb0 @ sz00 )
= slcrc0 ) ).
thf(zip_derived_cl68,plain,
( ( slbdtrb0 @ sz00 )
= slcrc0 ),
inference(cnf,[status(esa)],[mSegZero]) ).
thf(zip_derived_cl1319,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0 != slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1314,zip_derived_cl68]) ).
thf(m__5045,axiom,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ).
thf(zip_derived_cl169,plain,
aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS,
inference(cnf,[status(esa)],[m__5045]) ).
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_cl7,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_cl1347,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElementOf0 @ X0 @ xS ) ),
inference('sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl7]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl115,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1269,plain,
( ~ ( aSet0 @ szNzAzT0 )
| ( aSet0 @ xS ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl115]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl38,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1270,plain,
aSet0 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1269,zip_derived_cl38]) ).
thf(zip_derived_cl1356,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1347,zip_derived_cl1270]) ).
thf(m__3671,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
& ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
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_cl59,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzizndt0 @ X0 ) )
| ( aElementOf0 @ X1 @ X0 )
| ( X0 = slcrc0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMin]) ).
thf(zip_derived_cl1670,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( ( sdtlpdtrp0 @ xN @ X0 )
= slcrc0 )
| ( aElementOf0 @ X1 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( X1
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl59]) ).
thf(zip_derived_cl11847,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ( X0
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( ( sdtlpdtrp0 @ xN @ xi )
= slcrc0 )
| ~ ( aElementOf0 @ xi @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1356,zip_derived_cl1670]) ).
thf(m__5034,axiom,
( ( ( sdtlpdtrp0 @ xe @ xi )
= xx )
& ( aElementOf0 @ xi @ szNzAzT0 ) ) ).
thf(zip_derived_cl167,plain,
( ( sdtlpdtrp0 @ xe @ xi )
= xx ),
inference(cnf,[status(esa)],[m__5034]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl1733,plain,
( ( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ~ ( aElementOf0 @ xi @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl152]) ).
thf(zip_derived_cl168,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__5034]) ).
thf(zip_derived_cl1735,plain,
( xx
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1733,zip_derived_cl168]) ).
thf(zip_derived_cl168_001,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__5034]) ).
thf(zip_derived_cl11853,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xS )
| ( X0 != xx )
| ( ( sdtlpdtrp0 @ xN @ xi )
= slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11847,zip_derived_cl1735,zip_derived_cl168]) ).
thf(zip_derived_cl11867,plain,
( ( ( sdtlpdtrp0 @ xN @ xi )
= slcrc0 )
| ( aElementOf0 @ xx @ xS ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11853]) ).
thf(m__,conjecture,
aElementOf0 @ xx @ xS ).
thf(zf_stmt_0,negated_conjecture,
~ ( aElementOf0 @ xx @ xS ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl170,plain,
~ ( aElementOf0 @ xx @ xS ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11868,plain,
( ( sdtlpdtrp0 @ xN @ xi )
= slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl11867,zip_derived_cl170]) ).
thf(mCountNFin_01,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isCountable0 @ W0 ) )
=> ( W0 != slcrc0 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( X0 != slcrc0 )
| ~ ( isCountable0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCountNFin_01]) ).
thf(zip_derived_cl133,plain,
! [X0: $i] :
( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__3671]) ).
thf(zip_derived_cl1405,plain,
! [X0: $i] :
( ~ ( aSet0 @ ( sdtlpdtrp0 @ xN @ X0 ) )
| ( ( sdtlpdtrp0 @ xN @ X0 )
!= slcrc0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl133]) ).
thf(zip_derived_cl1407,plain,
! [X0: $i] :
( ~ ( aSet0 @ slcrc0 )
| ( ( sdtlpdtrp0 @ xN @ X0 )
!= slcrc0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1405]) ).
thf(zip_derived_cl11887,plain,
( ( slcrc0 != slcrc0 )
| ~ ( aElementOf0 @ xi @ szNzAzT0 )
| ~ ( aSet0 @ slcrc0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11868,zip_derived_cl1407]) ).
thf(zip_derived_cl168_002,plain,
aElementOf0 @ xi @ szNzAzT0,
inference(cnf,[status(esa)],[m__5034]) ).
thf(zip_derived_cl11905,plain,
( ( slcrc0 != slcrc0 )
| ~ ( aSet0 @ slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl11887,zip_derived_cl168]) ).
thf(zip_derived_cl11906,plain,
~ ( aSet0 @ slcrc0 ),
inference(simplify,[status(thm)],[zip_derived_cl11905]) ).
thf(zip_derived_cl11918,plain,
slcrc0 != slcrc0,
inference('sup-',[status(thm)],[zip_derived_cl1319,zip_derived_cl11906]) ).
thf(zip_derived_cl11919,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl11918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM604+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.0gOK3FQoye true
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Aug 25 15:52:48 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 19.01/3.38 % Solved by fo/fo3_bce.sh.
% 19.01/3.38 % BCE start: 171
% 19.01/3.38 % BCE eliminated: 4
% 19.01/3.38 % PE start: 167
% 19.01/3.38 logic: eq
% 19.01/3.38 % PE eliminated: 0
% 19.01/3.38 % done 2037 iterations in 2.578s
% 19.01/3.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.01/3.38 % SZS output start Refutation
% See solution above
% 19.01/3.38
% 19.01/3.38
% 19.62/3.38 % Terminating...
% 19.76/3.47 % Runner terminated.
% 19.76/3.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------