TSTP Solution File: NUM473+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM473+2 : 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.vqQlhL7wTF true
% Computer : n024.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 12:41:42 EDT 2023
% Result : Theorem 27.34s 4.63s
% Output : Refutation 27.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 79 ( 32 unt; 12 typ; 0 def)
% Number of atoms : 169 ( 61 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 432 ( 64 ~; 67 |; 24 &; 266 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 34 !; 3 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sdtsldt0_type,type,
sdtsldt0: $i > $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xq_type,type,
xq: $i ).
thf(xn_type,type,
xn: $i ).
thf(xm_type,type,
xm: $i ).
thf(xp_type,type,
xp: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xl_type,type,
xl: $i ).
thf(m__1409,axiom,
( ( sdtlseqdt0 @ xm @ ( sdtpldt0 @ xm @ xn ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= ( sdtpldt0 @ xm @ xn ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl75,plain,
sdtlseqdt0 @ xm @ ( sdtpldt0 @ xm @ xn ),
inference(cnf,[status(esa)],[m__1409]) ).
thf(mLEAsym,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEAsym]) ).
thf(zip_derived_cl644,plain,
( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ xm )
| ( ( sdtpldt0 @ xm @ xn )
= xm )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl32]) ).
thf(m__1324,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl58,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl73,plain,
( ( sdtpldt0 @ xm @ sk__4 )
= ( sdtpldt0 @ xm @ xn ) ),
inference(cnf,[status(esa)],[m__1409]) ).
thf(mSortsB,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
thf(zip_derived_cl496,plain,
( ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ) )
| ~ ( aNaturalNumber0 @ sk__4 )
| ~ ( aNaturalNumber0 @ xm ) ),
inference('sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl4]) ).
thf(zip_derived_cl74,plain,
aNaturalNumber0 @ sk__4,
inference(cnf,[status(esa)],[m__1409]) ).
thf(zip_derived_cl58_001,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl497,plain,
aNaturalNumber0 @ ( sdtpldt0 @ xm @ xn ),
inference(demod,[status(thm)],[zip_derived_cl496,zip_derived_cl74,zip_derived_cl58]) ).
thf(zip_derived_cl649,plain,
( ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ xm )
| ( ( sdtpldt0 @ xm @ xn )
= xm ) ),
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl58,zip_derived_cl497]) ).
thf(m__1379,axiom,
( ( xq
= ( sdtsldt0 @ ( sdtpldt0 @ xm @ xn ) @ xl ) )
& ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) )
& ( aNaturalNumber0 @ xq ) ) ).
thf(zip_derived_cl71,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(m__1360,axiom,
( ( xp
= ( sdtsldt0 @ xm @ xl ) )
& ( xm
= ( sdtasdt0 @ xl @ xp ) )
& ( aNaturalNumber0 @ xp ) ) ).
thf(zip_derived_cl68,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(mMonMul,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ X1 ) @ ( sdtasdt0 @ X0 @ X2 ) )
| ~ ( sdtlseqdt0 @ X1 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[mMonMul]) ).
thf(zip_derived_cl1783,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ X0 ) @ xm )
| ( X0 = xp )
| ~ ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ X0 )
| ( xl = sz00 ) ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl41]) ).
thf(zip_derived_cl69,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl59,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl1814,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ X0 ) @ xm )
| ( X0 = xp )
| ~ ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1783,zip_derived_cl69,zip_derived_cl59]) ).
thf(m__1347,axiom,
xl != sz00 ).
thf(zip_derived_cl66,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl1815,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ ( sdtasdt0 @ xl @ X0 ) @ xm )
| ( X0 = xp )
| ~ ( sdtlseqdt0 @ X0 @ xp )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1814,zip_derived_cl66]) ).
thf(zip_derived_cl34880,plain,
( ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ xm )
| ~ ( aNaturalNumber0 @ xq )
| ~ ( sdtlseqdt0 @ xq @ xp )
| ( xq = xp ) ),
inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl1815]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl72_002,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl69_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1360]) ).
thf(mLETotal,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETotal]) ).
thf(zip_derived_cl658,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ xp )
| ( sdtlseqdt0 @ xp @ X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl35]) ).
thf(zip_derived_cl771,plain,
( ( sdtlseqdt0 @ xp @ xq )
| ( sdtlseqdt0 @ xq @ xp ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl658]) ).
thf(m__,conjecture,
( ( sdtlseqdt0 @ xp @ xq )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
= xq )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( sdtlseqdt0 @ xp @ xq )
| ? [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
= xq )
& ( aNaturalNumber0 @ W0 ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl77,plain,
~ ( sdtlseqdt0 @ xp @ xq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl776,plain,
sdtlseqdt0 @ xq @ xp,
inference(demod,[status(thm)],[zip_derived_cl771,zip_derived_cl77]) ).
thf(zip_derived_cl34904,plain,
( ( sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ xm )
| ( xq = xp ) ),
inference(demod,[status(thm)],[zip_derived_cl34880,zip_derived_cl72,zip_derived_cl776]) ).
thf(m_AddZero,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ xp @ X0 )
!= xq )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl499,plain,
( ( xp != xq )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl76]) ).
thf(zip_derived_cl69_004,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1360]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl502,plain,
xp != xq,
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl69,zip_derived_cl1]) ).
thf(zip_derived_cl34905,plain,
sdtlseqdt0 @ ( sdtpldt0 @ xm @ xn ) @ xm,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34904,zip_derived_cl502]) ).
thf(zip_derived_cl35079,plain,
( ( sdtpldt0 @ xm @ xn )
= xm ),
inference(demod,[status(thm)],[zip_derived_cl649,zip_derived_cl34905]) ).
thf(zip_derived_cl71_005,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl68_006,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(cnf,[status(esa)],[m__1360]) ).
thf(mMulCanc,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sz00 )
| ( ( sdtasdt0 @ X0 @ X2 )
!= ( sdtasdt0 @ X0 @ X1 ) )
| ( X2 = X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mMulCanc]) ).
thf(zip_derived_cl1190,plain,
! [X0: $i] :
( ( xm
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ xl )
| ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( xl = sz00 ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl21]) ).
thf(zip_derived_cl59_007,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl69_008,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1360]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i] :
( ( xm
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 )
| ( xl = sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1190,zip_derived_cl59,zip_derived_cl69]) ).
thf(zip_derived_cl66_009,plain,
xl != sz00,
inference(cnf,[status(esa)],[m__1347]) ).
thf(zip_derived_cl1224,plain,
! [X0: $i] :
( ( xm
!= ( sdtasdt0 @ xl @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xp = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1223,zip_derived_cl66]) ).
thf(zip_derived_cl18836,plain,
( ( xm
!= ( sdtpldt0 @ xm @ xn ) )
| ( xp = xq )
| ~ ( aNaturalNumber0 @ xq ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl1224]) ).
thf(zip_derived_cl72_010,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl18864,plain,
( ( xm
!= ( sdtpldt0 @ xm @ xn ) )
| ( xp = xq ) ),
inference(demod,[status(thm)],[zip_derived_cl18836,zip_derived_cl72]) ).
thf(zip_derived_cl502_011,plain,
xp != xq,
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl69,zip_derived_cl1]) ).
thf(zip_derived_cl18865,plain,
( xm
!= ( sdtpldt0 @ xm @ xn ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18864,zip_derived_cl502]) ).
thf(zip_derived_cl35080,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35079,zip_derived_cl18865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM473+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vqQlhL7wTF true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 13:59:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.74 % /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/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 27.34/4.63 % Solved by fo/fo3_bce.sh.
% 27.34/4.63 % BCE start: 78
% 27.34/4.63 % BCE eliminated: 2
% 27.34/4.63 % PE start: 76
% 27.34/4.63 logic: eq
% 27.34/4.63 % PE eliminated: 0
% 27.34/4.63 % done 3526 iterations in 3.845s
% 27.34/4.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.34/4.63 % SZS output start Refutation
% See solution above
% 27.34/4.63
% 27.34/4.63
% 27.34/4.63 % Terminating...
% 28.39/4.66 % Runner terminated.
% 28.39/4.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------