TSTP Solution File: NUM475+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM475+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.ShDcuzta1h true
% Computer : n027.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 12:41:43 EDT 2023
% Result : Theorem 1.16s 0.90s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 69 ( 37 unt; 13 typ; 0 def)
% Number of atoms : 102 ( 51 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 335 ( 29 ~; 25 |; 17 &; 260 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 18 !; 2 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
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(xr_type,type,
xr: $i ).
thf(xq_type,type,
xq: $i ).
thf(xn_type,type,
xn: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(xm_type,type,
xm: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(xl_type,type,
xl: $i ).
thf(mSortsB_02,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
thf(m__1459,axiom,
( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ) ).
thf(zip_derived_cl79,plain,
( ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ ( sdtasdt0 @ xl @ xr ) )
= ( sdtpldt0 @ ( sdtasdt0 @ xl @ xp ) @ xn ) ),
inference(cnf,[status(esa)],[m__1459]) ).
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(m__1422,axiom,
( ( xr
= ( sdtmndt0 @ xq @ xp ) )
& ( ( sdtpldt0 @ xp @ xr )
= xq )
& ( aNaturalNumber0 @ xr ) ) ).
thf(zip_derived_cl76,plain,
( xr
= ( sdtmndt0 @ xq @ xp ) ),
inference(cnf,[status(esa)],[m__1422]) ).
thf(zip_derived_cl68_001,plain,
( xm
= ( sdtasdt0 @ xl @ xp ) ),
inference(cnf,[status(esa)],[m__1360]) ).
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(zip_derived_cl114,plain,
( ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) )
= ( sdtasdt0 @ xl @ xq ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl68,zip_derived_cl76,zip_derived_cl68,zip_derived_cl71]) ).
thf(m__1324_04,axiom,
( ( doDivides0 @ xl @ ( sdtpldt0 @ xm @ xn ) )
& ? [W0: $i] :
( ( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) )
& ( doDivides0 @ xl @ xm )
& ? [W0: $i] :
( ( xm
= ( sdtasdt0 @ xl @ W0 ) )
& ( aNaturalNumber0 @ W0 ) ) ) ).
thf(zip_derived_cl63,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ sk__2 ) ),
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(zip_derived_cl71_002,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl83,plain,
( ( sdtasdt0 @ xl @ xq )
= ( sdtasdt0 @ xl @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl71]) ).
thf(mMulComm,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl288,plain,
( ( ( sdtasdt0 @ xl @ xq )
= ( sdtasdt0 @ sk__2 @ xl ) )
| ~ ( aNaturalNumber0 @ sk__2 )
| ~ ( aNaturalNumber0 @ xl ) ),
inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl10]) ).
thf(zip_derived_cl64,plain,
aNaturalNumber0 @ sk__2,
inference(cnf,[status(esa)],[m__1324_04]) ).
thf(m__1324,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xl ) ) ).
thf(zip_derived_cl59,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl306,plain,
( ( sdtasdt0 @ xl @ xq )
= ( sdtasdt0 @ sk__2 @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl64,zip_derived_cl59]) ).
thf(zip_derived_cl357,plain,
( ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) )
= ( sdtasdt0 @ sk__2 @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl306]) ).
thf(zip_derived_cl306_003,plain,
( ( sdtasdt0 @ xl @ xq )
= ( sdtasdt0 @ sk__2 @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl64,zip_derived_cl59]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i,X1: $i] :
( ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ X1 )
| ( ( sdtasdt0 @ X0 @ X1 )
= ( sdtasdt0 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[mMulComm]) ).
thf(zip_derived_cl364,plain,
( ( ( sdtasdt0 @ sk__2 @ xl )
= ( sdtasdt0 @ xq @ xl ) )
| ~ ( aNaturalNumber0 @ xq )
| ~ ( aNaturalNumber0 @ xl ) ),
inference('sup+',[status(thm)],[zip_derived_cl306,zip_derived_cl10]) ).
thf(zip_derived_cl72,plain,
aNaturalNumber0 @ xq,
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl59_005,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl368,plain,
( ( sdtasdt0 @ sk__2 @ xl )
= ( sdtasdt0 @ xq @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl72,zip_derived_cl59]) ).
thf(zip_derived_cl494,plain,
( ( sdtpldt0 @ xm @ ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) )
= ( sdtasdt0 @ xq @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl368]) ).
thf(zip_derived_cl71_006,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xl @ xq ) ),
inference(cnf,[status(esa)],[m__1379]) ).
thf(zip_derived_cl306_007,plain,
( ( sdtasdt0 @ xl @ xq )
= ( sdtasdt0 @ sk__2 @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl64,zip_derived_cl59]) ).
thf(zip_derived_cl351,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ sk__2 @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl306]) ).
thf(zip_derived_cl368_008,plain,
( ( sdtasdt0 @ sk__2 @ xl )
= ( sdtasdt0 @ xq @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl72,zip_derived_cl59]) ).
thf(zip_derived_cl392,plain,
( ( sdtpldt0 @ xm @ xn )
= ( sdtasdt0 @ xq @ xl ) ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl368]) ).
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_cl887,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ xl )
!= ( sdtpldt0 @ xm @ X0 ) )
| ( xn = X0 )
| ~ ( aNaturalNumber0 @ X0 )
| ~ ( aNaturalNumber0 @ xm )
| ~ ( aNaturalNumber0 @ xn ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl19]) ).
thf(zip_derived_cl58,plain,
aNaturalNumber0 @ xm,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl57,plain,
aNaturalNumber0 @ xn,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl909,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ xq @ xl )
!= ( sdtpldt0 @ xm @ X0 ) )
| ( xn = X0 )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl58,zip_derived_cl57]) ).
thf(zip_derived_cl954,plain,
( ( ( sdtasdt0 @ xq @ xl )
!= ( sdtasdt0 @ xq @ xl ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) )
| ( xn
= ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl909]) ).
thf(zip_derived_cl961,plain,
( ( xn
= ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) )
| ~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl954]) ).
thf(m__,conjecture,
( xn
= ( sdtasdt0 @ xl @ xr ) ) ).
thf(zf_stmt_0,negated_conjecture,
( xn
!= ( sdtasdt0 @ xl @ xr ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl80,plain,
( xn
!= ( sdtasdt0 @ xl @ xr ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_009,plain,
( xr
= ( sdtmndt0 @ xq @ xp ) ),
inference(cnf,[status(esa)],[m__1422]) ).
thf(zip_derived_cl82,plain,
( xn
!= ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl76]) ).
thf(zip_derived_cl962,plain,
~ ( aNaturalNumber0 @ ( sdtasdt0 @ xl @ ( sdtmndt0 @ xq @ xp ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl961,zip_derived_cl82]) ).
thf(zip_derived_cl972,plain,
( ~ ( aNaturalNumber0 @ ( sdtmndt0 @ xq @ xp ) )
| ~ ( aNaturalNumber0 @ xl ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl962]) ).
thf(zip_derived_cl78,plain,
aNaturalNumber0 @ xr,
inference(cnf,[status(esa)],[m__1422]) ).
thf(zip_derived_cl76_010,plain,
( xr
= ( sdtmndt0 @ xq @ xp ) ),
inference(cnf,[status(esa)],[m__1422]) ).
thf(zip_derived_cl81,plain,
aNaturalNumber0 @ ( sdtmndt0 @ xq @ xp ),
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl76]) ).
thf(zip_derived_cl59_011,plain,
aNaturalNumber0 @ xl,
inference(cnf,[status(esa)],[m__1324]) ).
thf(zip_derived_cl975,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl972,zip_derived_cl81,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM475+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ShDcuzta1h true
% 0.13/0.35 % Computer : n027.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 15:39:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.69 % Total configuration time : 435
% 0.21/0.69 % Estimated wc time : 1092
% 0.21/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.65/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.65/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.16/0.90 % Solved by fo/fo7.sh.
% 1.16/0.90 % done 327 iterations in 0.106s
% 1.16/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.16/0.90 % SZS output start Refutation
% See solution above
% 1.16/0.90
% 1.16/0.90
% 1.16/0.90 % Terminating...
% 1.29/0.98 % Runner terminated.
% 1.29/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------