TSTP Solution File: RNG052+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG052+1 : 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.9fEaGMcn5E true
% Computer : n012.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 14:06:31 EDT 2023
% Result : Theorem 92.75s 13.94s
% Output : Refutation 92.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 71 ( 23 unt; 19 typ; 0 def)
% Number of atoms : 125 ( 65 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 411 ( 49 ~; 51 |; 11 &; 289 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(xq_type,type,
xq: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(sziznziztdt0_type,type,
sziznziztdt0: $i > $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(aVector0_type,type,
aVector0: $i > $o ).
thf(xC_type,type,
xC: $i ).
thf(xp_type,type,
xp: $i ).
thf(xD_type,type,
xD: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xs_type,type,
xs: $i ).
thf(xE_type,type,
xE: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(xt_type,type,
xt: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(sdtasasdt0_type,type,
sdtasasdt0: $i > $i > $i ).
thf(m__1820,axiom,
( ( xE
= ( sdtasasdt0 @ xp @ xq ) )
& ( aScalar0 @ xE ) ) ).
thf(zip_derived_cl73,plain,
( xE
= ( sdtasasdt0 @ xp @ xq ) ),
inference(cnf,[status(esa)],[m__1820]) ).
thf(mIH,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( iLess0 @ W0 @ ( szszuzczcdt0 @ W0 ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( iLess0 @ X0 @ ( szszuzczcdt0 @ X0 ) )
| ~ ( aNaturalNumber0 @ X0 ) ),
inference(cnf,[status(esa)],[mIH]) ).
thf(m__1652,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
=> ( ( iLess0 @ ( aDimensionOf0 @ W0 ) @ ( aDimensionOf0 @ xs ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ W0 @ W1 ) @ ( sdtasasdt0 @ W0 @ W1 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ W0 @ W0 ) @ ( sdtasasdt0 @ W1 @ W1 ) ) ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( iLess0 @ ( aDimensionOf0 @ X0 ) @ ( aDimensionOf0 @ xs ) )
| ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X1 ) @ ( sdtasasdt0 @ X0 @ X1 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X0 ) @ ( sdtasasdt0 @ X1 @ X1 ) ) )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[m__1652]) ).
thf(zip_derived_cl406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( aDimensionOf0 @ X1 ) )
| ( ( szszuzczcdt0 @ X0 )
!= ( aDimensionOf0 @ xs ) )
| ~ ( aNaturalNumber0 @ X0 )
| ( ( aDimensionOf0 @ X1 )
!= ( aDimensionOf0 @ X2 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ X1 @ X2 ) @ ( sdtasasdt0 @ X1 @ X2 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ X1 @ X1 ) @ ( sdtasasdt0 @ X2 @ X2 ) ) )
| ~ ( aVector0 @ X2 )
| ~ ( aVector0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl58]) ).
thf(zip_derived_cl1085,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X1 ) @ ( sdtasasdt0 @ X0 @ X1 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X0 ) @ ( sdtasasdt0 @ X1 @ X1 ) ) )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) )
| ~ ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ X0 ) )
!= ( aDimensionOf0 @ xs ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl406]) ).
thf(mDimNat,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( aNaturalNumber0 @ ( aDimensionOf0 @ W0 ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( aNaturalNumber0 @ ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDimNat]) ).
thf(zip_derived_cl66561,plain,
! [X0: $i,X1: $i] :
( ( ( szszuzczcdt0 @ ( aDimensionOf0 @ X0 ) )
!= ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X1 ) @ ( sdtasasdt0 @ X0 @ X1 ) ) @ ( sdtasdt0 @ ( sdtasasdt0 @ X0 @ X0 ) @ ( sdtasasdt0 @ X1 @ X1 ) ) )
| ~ ( aVector0 @ X1 )
| ~ ( aVector0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1085,zip_derived_cl44]) ).
thf(zip_derived_cl66588,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ ( sdtasasdt0 @ xp @ xq ) @ xE ) @ ( sdtasdt0 @ ( sdtasasdt0 @ xp @ xp ) @ ( sdtasasdt0 @ xq @ xq ) ) )
| ~ ( aVector0 @ xp )
| ~ ( aVector0 @ xq )
| ( ( aDimensionOf0 @ xp )
!= ( aDimensionOf0 @ xq ) )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
!= ( aDimensionOf0 @ xs ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl66561]) ).
thf(zip_derived_cl73_001,plain,
( xE
= ( sdtasasdt0 @ xp @ xq ) ),
inference(cnf,[status(esa)],[m__1820]) ).
thf(m__1783,axiom,
( ( xC
= ( sdtasasdt0 @ xp @ xp ) )
& ( aScalar0 @ xC ) ) ).
thf(zip_derived_cl69,plain,
( xC
= ( sdtasasdt0 @ xp @ xp ) ),
inference(cnf,[status(esa)],[m__1783]) ).
thf(m__1800,axiom,
( ( xD
= ( sdtasasdt0 @ xq @ xq ) )
& ( aScalar0 @ xD ) ) ).
thf(zip_derived_cl71,plain,
( xD
= ( sdtasasdt0 @ xq @ xq ) ),
inference(cnf,[status(esa)],[m__1800]) ).
thf(m__,conjecture,
sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xC @ xD ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xC @ xD ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl89,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xC @ xD ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1709,axiom,
( ( xp
= ( sziznziztdt0 @ xs ) )
& ( aVector0 @ xp ) ) ).
thf(zip_derived_cl62,plain,
aVector0 @ xp,
inference(cnf,[status(esa)],[m__1709]) ).
thf(m__1726,axiom,
( ( xq
= ( sziznziztdt0 @ xt ) )
& ( aVector0 @ xq ) ) ).
thf(zip_derived_cl64,plain,
aVector0 @ xq,
inference(cnf,[status(esa)],[m__1726]) ).
thf(zip_derived_cl61,plain,
( xp
= ( sziznziztdt0 @ xs ) ),
inference(cnf,[status(esa)],[m__1709]) ).
thf(m__1678_01,axiom,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ) ).
thf(zip_derived_cl59,plain,
( ( aDimensionOf0 @ xs )
= ( aDimensionOf0 @ xt ) ),
inference(cnf,[status(esa)],[m__1678_01]) ).
thf(mEqInit,axiom,
! [W0: $i,W1: $i] :
( ( ( aVector0 @ W0 )
& ( aVector0 @ W1 ) )
=> ( ( ( ( aDimensionOf0 @ W0 )
= ( aDimensionOf0 @ W1 ) )
& ( ( aDimensionOf0 @ W1 )
!= sz00 ) )
=> ( ( aDimensionOf0 @ ( sziznziztdt0 @ W0 ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ X1 )
| ( ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X1 ) ) )
| ( ( aDimensionOf0 @ X1 )
= sz00 )
| ( ( aDimensionOf0 @ X0 )
!= ( aDimensionOf0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mEqInit]) ).
thf(zip_derived_cl878,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( ( aDimensionOf0 @ ( sziznziztdt0 @ xt ) )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
| ~ ( aVector0 @ X0 )
| ~ ( aVector0 @ xt ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl51]) ).
thf(zip_derived_cl63,plain,
( xq
= ( sziznziztdt0 @ xt ) ),
inference(cnf,[status(esa)],[m__1726]) ).
thf(m__1678,axiom,
( ( aVector0 @ xt )
& ( aVector0 @ xs ) ) ).
thf(zip_derived_cl56,plain,
aVector0 @ xt,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl882,plain,
! [X0: $i] :
( ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( ( aDimensionOf0 @ xq )
= ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
| ~ ( aVector0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl878,zip_derived_cl63,zip_derived_cl56]) ).
thf(zip_derived_cl21139,plain,
( ( ( aDimensionOf0 @ xq )
= ( aDimensionOf0 @ xp ) )
| ~ ( aVector0 @ xs )
| ( ( aDimensionOf0 @ xs )
= sz00 )
| ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ xs ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl882]) ).
thf(zip_derived_cl57,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl21141,plain,
( ( ( aDimensionOf0 @ xq )
= ( aDimensionOf0 @ xp ) )
| ( ( aDimensionOf0 @ xs )
= sz00 )
| ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ xs ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21139,zip_derived_cl57]) ).
thf(zip_derived_cl21142,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ( ( aDimensionOf0 @ xq )
= ( aDimensionOf0 @ xp ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl21141]) ).
thf(m__1692,axiom,
( ( aDimensionOf0 @ xs )
!= sz00 ) ).
thf(zip_derived_cl60,plain,
( ( aDimensionOf0 @ xs )
!= sz00 ),
inference(cnf,[status(esa)],[m__1692]) ).
thf(zip_derived_cl21143,plain,
( ( aDimensionOf0 @ xq )
= ( aDimensionOf0 @ xp ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21142,zip_derived_cl60]) ).
thf(zip_derived_cl61_002,plain,
( xp
= ( sziznziztdt0 @ xs ) ),
inference(cnf,[status(esa)],[m__1709]) ).
thf(mDefInit,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( ( ( aDimensionOf0 @ W0 )
!= sz00 )
=> ! [W1: $i] :
( ( W1
= ( sziznziztdt0 @ W0 ) )
<=> ( ( aVector0 @ W1 )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ W1 ) )
= ( aDimensionOf0 @ W0 ) )
& ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtlbdtrb0 @ W1 @ W2 )
= ( sdtlbdtrb0 @ W0 @ W2 ) ) ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( ( aDimensionOf0 @ X0 )
= sz00 )
| ( X1
!= ( sziznziztdt0 @ X0 ) )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ X1 ) )
= ( aDimensionOf0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefInit]) ).
thf(zip_derived_cl675,plain,
! [X0: $i] :
( ~ ( aVector0 @ X0 )
| ( ( szszuzczcdt0 @ ( aDimensionOf0 @ ( sziznziztdt0 @ X0 ) ) )
= ( aDimensionOf0 @ X0 ) )
| ( ( aDimensionOf0 @ X0 )
= sz00 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl5328,plain,
( ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xs )
= sz00 )
| ~ ( aVector0 @ xs ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl675]) ).
thf(zip_derived_cl57_003,plain,
aVector0 @ xs,
inference(cnf,[status(esa)],[m__1678]) ).
thf(zip_derived_cl5330,plain,
( ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xs )
= sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl5328,zip_derived_cl57]) ).
thf(zip_derived_cl60_004,plain,
( ( aDimensionOf0 @ xs )
!= sz00 ),
inference(cnf,[status(esa)],[m__1692]) ).
thf(zip_derived_cl5331,plain,
( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5330,zip_derived_cl60]) ).
thf(zip_derived_cl66613,plain,
( ( ( aDimensionOf0 @ xp )
!= ( aDimensionOf0 @ xp ) )
| ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ xs ) ) ),
inference(demod,[status(thm)],[zip_derived_cl66588,zip_derived_cl73,zip_derived_cl69,zip_derived_cl71,zip_derived_cl89,zip_derived_cl62,zip_derived_cl64,zip_derived_cl21143,zip_derived_cl5331]) ).
thf(zip_derived_cl66614,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl66613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG052+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9fEaGMcn5E true
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 01:35:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.18/0.54 % Total configuration time : 435
% 0.18/0.54 % Estimated wc time : 1092
% 0.18/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 92.75/13.94 % Solved by fo/fo3_bce.sh.
% 92.75/13.94 % BCE start: 90
% 92.75/13.94 % BCE eliminated: 0
% 92.75/13.94 % PE start: 90
% 92.75/13.94 logic: eq
% 92.75/13.94 % PE eliminated: 1
% 92.75/13.94 % done 2788 iterations in 13.243s
% 92.75/13.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 92.75/13.94 % SZS output start Refutation
% See solution above
% 92.75/13.94
% 92.75/13.94
% 92.75/13.94 % Terminating...
% 93.36/14.00 % Runner terminated.
% 93.36/14.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------