TSTP Solution File: NUM539+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM539+2 : 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.VN7th6qVBq true
% Computer : n011.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 12:42:13 EDT 2023
% Result : Theorem 1.37s 0.84s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 87 ( 9 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 277 ( 30 ~; 24 |; 18 &; 190 @)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 24 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(xS_type,type,
xS: $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(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xT_type,type,
xT: $i ).
thf(m__1802,axiom,
( ( aElementOf0 @ ( szmzizndt0 @ xT ) @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xT ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ xT ) @ xT )
& ( aElementOf0 @ ( szmzizndt0 @ xS ) @ xT )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ W0 ) )
& ( aElementOf0 @ ( szmzizndt0 @ xS ) @ xS ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ X0 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( szmzizndt0 @ xT ) @ X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl97,plain,
aElementOf0 @ ( szmzizndt0 @ xT ) @ xS,
inference(cnf,[status(esa)],[m__1802]) ).
thf(m__1779,axiom,
( ~ ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xT )
| ( xT = slcrc0 ) )
& ~ ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xS )
| ( xS = slcrc0 ) )
& ( aSubsetOf0 @ xT @ szNzAzT0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( aElementOf0 @ W0 @ szNzAzT0 ) )
& ( aSet0 @ xT )
& ( aSubsetOf0 @ xS @ szNzAzT0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ szNzAzT0 ) )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl84,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1779]) ).
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_cl740,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,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_cl743,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl44]) ).
thf(zip_derived_cl759,plain,
aElementOf0 @ ( szmzizndt0 @ xT ) @ szNzAzT0,
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl743]) ).
thf(zip_derived_cl92,plain,
aElementOf0 @ ( szmzizndt0 @ xS ) @ xS,
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl743_001,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl44]) ).
thf(zip_derived_cl758,plain,
aElementOf0 @ ( szmzizndt0 @ xS ) @ szNzAzT0,
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl743]) ).
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_cl949,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( ( szmzizndt0 @ xS )
= X0 )
| ~ ( sdtlseqdt0 @ X0 @ ( szmzizndt0 @ xS ) )
| ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl758,zip_derived_cl59]) ).
thf(zip_derived_cl986,plain,
( ( ( szmzizndt0 @ xS )
= ( szmzizndt0 @ xT ) )
| ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xT ) @ ( szmzizndt0 @ xS ) )
| ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ ( szmzizndt0 @ xT ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl759,zip_derived_cl949]) ).
thf(m__,conjecture,
( ( ( aElementOf0 @ ( szmzizndt0 @ xS ) @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ W0 ) )
| ( ( szmzizndt0 @ xS )
= ( szmzizndt0 @ xT ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( aElementOf0 @ ( szmzizndt0 @ xS ) @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ W0 ) ) )
=> ( ! [W0: $i] :
( ( aElementOf0 @ W0 @ xT )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ W0 ) )
| ( ( szmzizndt0 @ xS )
= ( szmzizndt0 @ xT ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl102,plain,
( ( szmzizndt0 @ xS )
!= ( szmzizndt0 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl995,plain,
( ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xT ) @ ( szmzizndt0 @ xS ) )
| ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ ( szmzizndt0 @ xT ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl986,zip_derived_cl102]) ).
thf(zip_derived_cl1002,plain,
( ~ ( aElementOf0 @ ( szmzizndt0 @ xS ) @ xT )
| ~ ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ ( szmzizndt0 @ xT ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl995]) ).
thf(zip_derived_cl94,plain,
aElementOf0 @ ( szmzizndt0 @ xS ) @ xT,
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl1003,plain,
~ ( sdtlseqdt0 @ ( szmzizndt0 @ xS ) @ ( szmzizndt0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1002,zip_derived_cl94]) ).
thf(zip_derived_cl1004,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ xT ) @ xS ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1003]) ).
thf(zip_derived_cl97_002,plain,
aElementOf0 @ ( szmzizndt0 @ xT ) @ xS,
inference(cnf,[status(esa)],[m__1802]) ).
thf(zip_derived_cl1005,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1004,zip_derived_cl97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM539+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VN7th6qVBq true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 12:57:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.84 % Solved by fo/fo6_bce.sh.
% 1.37/0.84 % BCE start: 103
% 1.37/0.84 % BCE eliminated: 1
% 1.37/0.84 % PE start: 102
% 1.37/0.84 logic: eq
% 1.37/0.84 % PE eliminated: 0
% 1.37/0.84 % done 158 iterations in 0.084s
% 1.37/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.84 % SZS output start Refutation
% See solution above
% 1.37/0.84
% 1.37/0.84
% 1.37/0.84 % Terminating...
% 1.37/0.87 % Runner terminated.
% 1.37/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------