TSTP Solution File: NUM459+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM459+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.uSlgZeAouj true
% Computer : n023.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 12:41:35 EDT 2023
% Result : Theorem 9.90s 1.97s
% Output : Refutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 146 ( 60 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 390 ( 63 ~; 62 |; 19 &; 237 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 42 !; 4 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(xn_type,type,
xn: $i ).
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(m__,conjecture,
( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ xm @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ xn @ xm ) )
=> ( xm = xn ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ xm @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xn @ W0 )
= xm )
& ( aNaturalNumber0 @ W0 ) )
& ( sdtlseqdt0 @ xn @ xm ) )
=> ( xm = xn ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl34,plain,
( ( sdtpldt0 @ xm @ sk__2 )
= xn ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl37,plain,
( ( sdtpldt0 @ xn @ sk__1 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl34_001,plain,
( ( sdtpldt0 @ xm @ sk__2 )
= xn ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mAddAsso,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sk__2 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xn @ X0 )
= ( sdtpldt0 @ xm @ ( sdtpldt0 @ sk__2 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).
thf(zip_derived_cl35,plain,
aNaturalNumber0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__745,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm ) ) ).
thf(zip_derived_cl33,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__745]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xn @ X0 )
= ( sdtpldt0 @ xm @ ( sdtpldt0 @ sk__2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl268,zip_derived_cl35,zip_derived_cl33]) ).
thf(mAddCanc,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X1 @ X0 )
!= ( sdtpldt0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl605,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__2 @ X0 ) )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ sk__2 @ X0 )
= X1 )
| ( ( sdtpldt0 @ xn @ X0 )
!= ( sdtpldt0 @ xm @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl19]) ).
thf(zip_derived_cl33_002,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__745]) ).
thf(zip_derived_cl631,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ sk__2 @ X0 ) )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ sk__2 @ X0 )
= X1 )
| ( ( sdtpldt0 @ xn @ X0 )
!= ( sdtpldt0 @ xm @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl605,zip_derived_cl33]) ).
thf(zip_derived_cl1486,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__2 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ sk__2 @ X0 )
= X1 )
| ( ( sdtpldt0 @ xn @ X0 )
!= ( sdtpldt0 @ xm @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl631]) ).
thf(zip_derived_cl35_003,plain,
aNaturalNumber0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1491,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtpldt0 @ sk__2 @ X0 )
= X1 )
| ( ( sdtpldt0 @ xn @ X0 )
!= ( sdtpldt0 @ xm @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1486,zip_derived_cl35]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i,X1: $i] :
( ( ( sdtpldt0 @ xn @ X0 )
!= ( sdtpldt0 @ xm @ X1 ) )
| ( ( sdtpldt0 @ sk__2 @ X0 )
= X1 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1491]) ).
thf(zip_derived_cl1507,plain,
! [X0: $i] :
( ( xm
!= ( sdtpldt0 @ xm @ X0 ) )
| ( ( sdtpldt0 @ sk__2 @ sk__1 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl1492]) ).
thf(zip_derived_cl38,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1522,plain,
! [X0: $i] :
( ( xm
!= ( sdtpldt0 @ xm @ X0 ) )
| ( ( sdtpldt0 @ sk__2 @ sk__1 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1507,zip_derived_cl38]) ).
thf(zip_derived_cl9661,plain,
( ~ ( aNaturalNumber0 @ xm )
| ( xm != xm )
| ( ( sdtpldt0 @ sk__2 @ sk__1 )
= sz00 )
| ~ ( aNaturalNumber0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1522]) ).
thf(zip_derived_cl33_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__745]) ).
thf(mSortsC,axiom,
aNaturalNumber0 @ sz00 ).
thf(zip_derived_cl1,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl9682,plain,
( ( xm != xm )
| ( ( sdtpldt0 @ sk__2 @ sk__1 )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl9661,zip_derived_cl33,zip_derived_cl1]) ).
thf(zip_derived_cl9683,plain,
( ( sdtpldt0 @ sk__2 @ sk__1 )
= sz00 ),
inference(simplify,[status(thm)],[zip_derived_cl9682]) ).
thf(mZeroAdd,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtpldt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
& ( W1 = sz00 ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( X0 = sz00 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= sz00 ) ),
inference(cnf,[status(esa)],[mZeroAdd]) ).
thf(zip_derived_cl10037,plain,
( ~ ( aNaturalNumber0 @ sk__2 )
| ~ ( aNaturalNumber0 @ sk__1 )
| ( sk__2 = sz00 )
| ( sz00 != sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9683,zip_derived_cl22]) ).
thf(zip_derived_cl35_005,plain,
aNaturalNumber0 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38_006,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10088,plain,
( ( sk__2 = sz00 )
| ( sz00 != sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl10037,zip_derived_cl35,zip_derived_cl38]) ).
thf(zip_derived_cl10089,plain,
sk__2 = sz00,
inference(simplify,[status(thm)],[zip_derived_cl10088]) ).
thf(zip_derived_cl8_007,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz00 )
= X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[m_AddZero]) ).
thf(zip_derived_cl37_008,plain,
( ( sdtpldt0 @ xn @ sk__1 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ X1 @ X0 ) @ X2 )
= ( sdtpldt0 @ X1 @ ( sdtpldt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mAddAsso]) ).
thf(zip_derived_cl269,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ sk__1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl7]) ).
thf(zip_derived_cl38_010,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__745]) ).
thf(zip_derived_cl279,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( ( sdtpldt0 @ xm @ X0 )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ sk__1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl38,zip_derived_cl32]) ).
thf(zip_derived_cl979,plain,
( ~ ( aNaturalNumber0 @ sk__1 )
| ~ ( aNaturalNumber0 @ sz00 )
| ( ( sdtpldt0 @ xm @ sz00 )
= ( sdtpldt0 @ xn @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl279]) ).
thf(zip_derived_cl38_011,plain,
aNaturalNumber0 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_012,plain,
aNaturalNumber0 @ sz00,
inference(cnf,[status(esa)],[mSortsC]) ).
thf(zip_derived_cl37_013,plain,
( ( sdtpldt0 @ xn @ sk__1 )
= xm ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl985,plain,
( ( sdtpldt0 @ xm @ sz00 )
= xm ),
inference(demod,[status(thm)],[zip_derived_cl979,zip_derived_cl38,zip_derived_cl1,zip_derived_cl37]) ).
thf(zip_derived_cl10138,plain,
xm = xn,
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl10089,zip_derived_cl985]) ).
thf(zip_derived_cl40,plain,
xm != xn,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10139,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10138,zip_derived_cl40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM459+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uSlgZeAouj true
% 0.14/0.34 % Computer : n023.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 13:31:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/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
% 0.44/0.63 % Total configuration time : 435
% 0.44/0.63 % Estimated wc time : 1092
% 0.44/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.90/1.97 % Solved by fo/fo6_bce.sh.
% 9.90/1.97 % BCE start: 41
% 9.90/1.97 % BCE eliminated: 0
% 9.90/1.97 % PE start: 41
% 9.90/1.97 logic: eq
% 9.90/1.97 % PE eliminated: 0
% 9.90/1.97 % done 1028 iterations in 1.274s
% 9.90/1.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.90/1.97 % SZS output start Refutation
% See solution above
% 9.90/1.97
% 9.90/1.97
% 9.90/1.97 % Terminating...
% 10.32/2.05 % Runner terminated.
% 10.32/2.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------