TSTP Solution File: NUM545+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM545+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.fuU03IVGia 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 12:42:15 EDT 2023
% Result : Theorem 1.08s 1.04s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 54 ( 14 unt; 13 typ; 0 def)
% Number of atoms : 89 ( 24 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 218 ( 34 ~; 28 |; 10 &; 136 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 24 !; 3 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xS_type,type,
xS: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(szmzazxdt0_type,type,
szmzazxdt0: $i > $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
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(mSegZero,axiom,
( ( slbdtrb0 @ sz00 )
= slcrc0 ) ).
thf(zip_derived_cl91,plain,
( ( slbdtrb0 @ sz00 )
= slcrc0 ),
inference(cnf,[status(esa)],[mSegZero]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( aSubsetOf0 @ xS @ ( slbdtrb0 @ W0 ) )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( aSubsetOf0 @ xS @ ( slbdtrb0 @ W0 ) )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl739,plain,
( ~ ( aSubsetOf0 @ xS @ slcrc0 )
| ~ ( aElementOf0 @ sz00 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl100]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl45,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(zip_derived_cl740,plain,
~ ( aSubsetOf0 @ xS @ slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl739,zip_derived_cl45]) ).
thf(m__2035,axiom,
( ( xS != slcrc0 )
=> ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) ).
thf(zip_derived_cl99,plain,
( ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
| ( xS = slcrc0 ) ),
inference(cnf,[status(esa)],[m__2035]) ).
thf(zip_derived_cl100_001,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl810,plain,
( ( xS = slcrc0 )
| ~ ( aElementOf0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl100]) ).
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_cl827,plain,
( ( xS = slcrc0 )
| ~ ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl810,zip_derived_cl46]) ).
thf(m__1986,axiom,
( ( isFinite0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 ) ) ).
thf(zip_derived_cl98,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1986]) ).
thf(mDefMax,axiom,
! [W0: $i] :
( ( ( aSubsetOf0 @ W0 @ szNzAzT0 )
& ( isFinite0 @ W0 )
& ( W0 != slcrc0 ) )
=> ! [W1: $i] :
( ( W1
= ( szmzazxdt0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ W0 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( sdtlseqdt0 @ W2 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( szmzazxdt0 @ X0 ) )
| ( aElementOf0 @ X1 @ X0 )
| ( X0 = slcrc0 )
| ~ ( isFinite0 @ X0 )
| ~ ( aSubsetOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mDefMax]) ).
thf(zip_derived_cl1048,plain,
! [X0: $i] :
( ~ ( isFinite0 @ xS )
| ( xS = slcrc0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0
!= ( szmzazxdt0 @ xS ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl81]) ).
thf(zip_derived_cl97,plain,
isFinite0 @ xS,
inference(cnf,[status(esa)],[m__1986]) ).
thf(zip_derived_cl1051,plain,
! [X0: $i] :
( ( xS = slcrc0 )
| ( aElementOf0 @ X0 @ xS )
| ( X0
!= ( szmzazxdt0 @ xS ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1048,zip_derived_cl97]) ).
thf(zip_derived_cl98_002,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1986]) ).
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_cl821,plain,
! [X0: $i] :
( ~ ( aSet0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl13]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl824,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xS )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl821,zip_derived_cl44]) ).
thf(zip_derived_cl1299,plain,
! [X0: $i] :
( ( X0
!= ( szmzazxdt0 @ xS ) )
| ( xS = slcrc0 )
| ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1051,zip_derived_cl824]) ).
thf(zip_derived_cl1581,plain,
( ( xS = slcrc0 )
| ( xS = slcrc0 )
| ( ( szmzazxdt0 @ xS )
!= ( szmzazxdt0 @ xS ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl827,zip_derived_cl1299]) ).
thf(zip_derived_cl1585,plain,
xS = slcrc0,
inference(simplify,[status(thm)],[zip_derived_cl1581]) ).
thf(zip_derived_cl1599,plain,
~ ( aSubsetOf0 @ slcrc0 @ slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl1585]) ).
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(zip_derived_cl1604,plain,
~ ( aSet0 @ slcrc0 ),
inference('sup+',[status(thm)],[zip_derived_cl1599,zip_derived_cl16]) ).
thf(zip_derived_cl1607,plain,
slcrc0 != slcrc0,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1604]) ).
thf(zip_derived_cl1608,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fuU03IVGia true
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 14:09:55 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.08/1.04 % Solved by fo/fo3_bce.sh.
% 1.08/1.04 % BCE start: 101
% 1.08/1.04 % BCE eliminated: 1
% 1.08/1.04 % PE start: 100
% 1.08/1.04 logic: eq
% 1.08/1.04 % PE eliminated: 0
% 1.08/1.04 % done 185 iterations in 0.192s
% 1.08/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.08/1.04 % SZS output start Refutation
% See solution above
% 1.08/1.04
% 1.08/1.04
% 1.08/1.04 % Terminating...
% 3.65/1.58 % Runner terminated.
% 3.65/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------