TSTP Solution File: NUM494+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM494+3 : 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.BYx74CEG9g true
% Computer : n007.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 12:41:52 EDT 2023
% Result : Theorem 1.65s 1.03s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 20 unt; 8 typ; 0 def)
% Number of atoms : 134 ( 44 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 531 ( 60 ~; 57 |; 21 &; 386 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 31 !; 3 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xp_type,type,
xp: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xr_type,type,
xr: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xn_type,type,
xn: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
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_cl4_001,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB]) ).
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_cl7_002,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(m__,conjecture,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp )
!= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ? [W0: $i] :
( ( ( sdtpldt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ W0 )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
& ( aNaturalNumber0 @ W0 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl116,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp )
= ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl220,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl116]) ).
thf(m__1837,axiom,
( ( aNaturalNumber0 @ xp )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xn ) ) ).
thf(zip_derived_cl70,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl252,plain,
( ( ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ ( sdtpldt0 @ xr @ xm ) @ xp ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl70,zip_derived_cl72,zip_derived_cl71]) ).
thf(zip_derived_cl274,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl252]) ).
thf(zip_derived_cl70_003,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1883,axiom,
( ( xr
= ( sdtmndt0 @ xn @ xp ) )
& ( ( sdtpldt0 @ xp @ xr )
= xn )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl108,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl71_004,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl279,plain,
( ( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( sdtlseqdt0 @ ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) ) @ ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl70,zip_derived_cl108,zip_derived_cl71]) ).
thf(mMonAdd,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X2 ) )
| ~ ( aNaturalNumber0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[mMonAdd]) ).
thf(zip_derived_cl1379,plain,
( ( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( sdtlseqdt0 @ xr @ xn )
| ( xr = xn ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl39]) ).
thf(zip_derived_cl108_005,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl72_006,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1894,axiom,
( ( sdtlseqdt0 @ xr @ xn )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xr @ W0 )
= xn )
& ( aNaturalNumber0 @ W0 ) )
& ( xr != xn ) ) ).
thf(zip_derived_cl112,plain,
sdtlseqdt0 @ xr @ xn,
inference(cnf,[status(esa)],[m__1894]) ).
thf(zip_derived_cl1413,plain,
( ( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ( xr = xn ) ),
inference(demod,[status(thm)],[zip_derived_cl1379,zip_derived_cl108,zip_derived_cl72,zip_derived_cl112]) ).
thf(zip_derived_cl109,plain,
xr != xn,
inference(cnf,[status(esa)],[m__1894]) ).
thf(zip_derived_cl1414,plain,
( ( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1413,zip_derived_cl109]) ).
thf(zip_derived_cl1500,plain,
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1414]) ).
thf(zip_derived_cl70_007,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_008,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1501,plain,
( ( sdtpldt0 @ xr @ ( sdtpldt0 @ xm @ xp ) )
= ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1500,zip_derived_cl70,zip_derived_cl71]) ).
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_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ~ ( aNaturalNumber0 @ X2 )
| ( X0 = X2 )
| ( ( sdtpldt0 @ X0 @ X1 )
!= ( sdtpldt0 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[mAddCanc]) ).
thf(zip_derived_cl1505,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xr )
| ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1501,zip_derived_cl18]) ).
thf(zip_derived_cl108_009,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1883]) ).
thf(zip_derived_cl1522,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ ( sdtpldt0 @ xm @ xp ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1505,zip_derived_cl108]) ).
thf(zip_derived_cl1782,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ xp )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ X0 )
| ( xr = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1522]) ).
thf(zip_derived_cl70_010,plain,
aNaturalNumber0 @ xp,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl71_011,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1783,plain,
! [X0: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ( xr = X0 )
| ( ( sdtpldt0 @ xn @ ( sdtpldt0 @ xm @ xp ) )
!= ( sdtpldt0 @ X0 @ ( sdtpldt0 @ xm @ xp ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1782,zip_derived_cl70,zip_derived_cl71]) ).
thf(zip_derived_cl1822,plain,
( ( xr = xn )
| ~ ( aNaturalNumber0 @ xn ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1783]) ).
thf(zip_derived_cl72_012,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl1823,plain,
xr = xn,
inference(demod,[status(thm)],[zip_derived_cl1822,zip_derived_cl72]) ).
thf(zip_derived_cl109_013,plain,
xr != xn,
inference(cnf,[status(esa)],[m__1894]) ).
thf(zip_derived_cl1824,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1823,zip_derived_cl109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM494+3 : 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.BYx74CEG9g true
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 15:11:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.43/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.65/1.03 % Solved by fo/fo13.sh.
% 1.65/1.03 % done 208 iterations in 0.253s
% 1.65/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.65/1.03 % SZS output start Refutation
% See solution above
% 1.65/1.03
% 1.65/1.03
% 1.65/1.03 % Terminating...
% 2.06/1.14 % Runner terminated.
% 2.06/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------