TSTP Solution File: LCL853-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL853-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 : 0s
% DateTime : Sun Jul 17 07:58:49 EDT 2022
% Result : Unsatisfiable 0.44s 1.09s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL853-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 4 07:15:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.09 *** allocated 10000 integers for termspace/termends
% 0.44/1.09 *** allocated 10000 integers for clauses
% 0.44/1.09 *** allocated 10000 integers for justifications
% 0.44/1.09 Bliksem 1.12
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 Automatic Strategy Selection
% 0.44/1.09
% 0.44/1.09 Clauses:
% 0.44/1.09 [
% 0.44/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.44/1.09 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.44/1.09 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.44/1.09 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.44/1.09 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.44/1.09 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.44/1.09 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.44/1.09 Z, T ) ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.44/1.09 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.44/1.09 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.44/1.09 ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.44/1.09 =( X, Z ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.44/1.09 =( Y, T ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.44/1.09 ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.44/1.09 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.44/1.09 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.44/1.09 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.44/1.09 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.44/1.09 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.44/1.09 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.44/1.09 ) ],
% 0.44/1.09 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.44/1.09 ), =( Z, Y ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.44/1.09 , Y, X ) ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.44/1.09 , Y, X ) ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.44/1.09 , X ) ) ],
% 0.44/1.09 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.44/1.09 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.44/1.09 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.44/1.09 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.44/1.09 ) ],
% 0.44/1.09 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.44/1.09 'tc_nat' ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.44/1.09 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.44/1.09 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.44/1.09 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.44/1.09 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.44/1.09 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.44/1.09 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.44/1.09 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.44/1.09 ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.44/1.09 ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.44/1.09 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.44/1.09 ) ],
% 0.44/1.09 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'v_s____' ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.44/1.09 'c_InductTermi_OIT'( X ) ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'v_ta____' ) ],
% 0.44/1.09 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.44/1.09 'c_InductTermi_OIT'( X ) ) ],
% 0.44/1.09 [ ~( 'c_InductTermi_OIT'( 'v_s____' ) ) ],
% 0.44/1.09 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.44/1.09 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.44/1.09 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 0.44/1.09 ] .
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 percentage equality = 0.333333, percentage horn = 0.900000
% 0.44/1.09 This is a problem with some equality
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 Options Used:
% 0.44/1.09
% 0.44/1.09 useres = 1
% 0.44/1.09 useparamod = 1
% 0.44/1.09 useeqrefl = 1
% 0.44/1.09 useeqfact = 1
% 0.44/1.09 usefactor = 1
% 0.44/1.09 usesimpsplitting = 0
% 0.44/1.09 usesimpdemod = 5
% 0.44/1.09 usesimpres = 3
% 0.44/1.09
% 0.44/1.09 resimpinuse = 1000
% 0.44/1.09 resimpclauses = 20000
% 0.44/1.09 substype = eqrewr
% 0.44/1.09 backwardsubs = 1
% 0.44/1.09 selectoldest = 5
% 0.44/1.09
% 0.44/1.09 litorderings [0] = split
% 0.44/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.09
% 0.44/1.09 termordering = kbo
% 0.44/1.09
% 0.44/1.09 litapriori = 0
% 0.44/1.09 termapriori = 1
% 0.44/1.09 litaposteriori = 0
% 0.44/1.09 termaposteriori = 0
% 0.44/1.09 demodaposteriori = 0
% 0.44/1.09 ordereqreflfact = 0
% 0.44/1.09
% 0.44/1.09 litselect = negord
% 0.44/1.09
% 0.44/1.09 maxweight = 15
% 0.44/1.09 maxdepth = 30000
% 0.44/1.09 maxlength = 115
% 0.44/1.09 maxnrvars = 195
% 0.44/1.09 excuselevel = 1
% 0.44/1.09 increasemaxweight = 1
% 0.44/1.09
% 0.44/1.09 maxselected = 10000000
% 0.44/1.09 maxnrclauses = 10000000
% 0.44/1.09
% 0.44/1.09 showgenerated = 0
% 0.44/1.09 showkept = 0
% 0.44/1.09 showselected = 0
% 0.44/1.09 showdeleted = 0
% 0.44/1.09 showresimp = 1
% 0.44/1.09 showstatus = 2000
% 0.44/1.09
% 0.44/1.09 prologoutput = 1
% 0.44/1.09 nrgoals = 5000000
% 0.44/1.09 totalproof = 1
% 0.44/1.09
% 0.44/1.09 Symbols occurring in the translation:
% 0.44/1.09
% 0.44/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.09 . [1, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.44/1.09 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 0.44/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.09 'class_Orderings_Opreorder' [40, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.44/1.09 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:74, a:1, s:1, b:0),
% 0.44/1.09 'class_Orderings_Olinorder' [46, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.44/1.09 'class_Orderings_Oorder' [47, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.44/1.09 'c_Lambda_OdB_OApp' [50, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.44/1.09 'c_Lambda_Osubst' [53, 3] (w:1, o:75, a:1, s:1, b:0),
% 0.44/1.09 'c_Lambda_OdB_OAbs' [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.44/1.09 'c_Lambda_OdB_OVar' [58, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.44/1.09 'tc_nat' [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.09 'class_Ring__and__Field_Oordered__idom' [66, 1] (w:1, o:45, a:1, s:1
% 0.44/1.09 , b:0),
% 0.44/1.09 'c_Lambda_Olift' [68, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.44/1.09 'c_InductTermi_OIT' [70, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.09 'v_s____' [74, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.44/1.09 'v_ta____' [75, 0] (w:1, o:34, a:1, s:1, b:0).
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 Starting Search:
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 Bliksems!, er is een bewijs:
% 0.44/1.09 % SZS status Unsatisfiable
% 0.44/1.09 % SZS output start Refutation
% 0.44/1.09
% 0.44/1.09 clause( 28, [ 'c_InductTermi_OIT'( 'v_s____' ) ] )
% 0.44/1.09 .
% 0.44/1.09 clause( 33, [] )
% 0.44/1.09 .
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 % SZS output end Refutation
% 0.44/1.09 found a proof!
% 0.44/1.09
% 0.44/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.09
% 0.44/1.09 initialclauses(
% 0.44/1.09 [ clause( 35, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.44/1.09 Y, X ) ) ] )
% 0.44/1.09 , clause( 36, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.44/1.09 Y, X ) ) ] )
% 0.44/1.09 , clause( 37, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.44/1.09 Y, X ) ) ] )
% 0.44/1.09 , clause( 38, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.44/1.09 Y, X ) ) ] )
% 0.44/1.09 , clause( 39, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.44/1.09 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.44/1.09 Z, T ) ) ) ] )
% 0.44/1.09 , clause( 40, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z )
% 0.44/1.09 ) ) ] )
% 0.44/1.09 , clause( 41, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z )
% 0.44/1.09 ) ) ] )
% 0.44/1.09 , clause( 42, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y )
% 0.44/1.09 ] )
% 0.44/1.09 , clause( 43, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.44/1.09 ) ) ] )
% 0.44/1.09 , clause( 44, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z,
% 0.44/1.09 T ) ) ), =( X, Z ) ] )
% 0.44/1.09 , clause( 45, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z,
% 0.44/1.09 T ) ) ), =( Y, T ) ] )
% 0.44/1.09 , clause( 46, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.44/1.09 ) ] )
% 0.44/1.09 , clause( 47, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.44/1.09 , clause( 48, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.44/1.09 ), =( Z, Y ) ] )
% 0.44/1.09 , clause( 49, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.44/1.09 , clause( 50, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.44/1.09 , clause( 51, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.44/1.09 ) ] )
% 0.44/1.09 , clause( 52, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.44/1.09 ), =( Z, Y ) ] )
% 0.44/1.09 , clause( 53, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.44/1.09 , clause( 54, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.44/1.09 , clause( 55, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.44/1.09 , clause( 56, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.44/1.09 , clause( 57, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.44/1.09 , clause( 58, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z )
% 0.44/1.09 ) ) ] )
% 0.44/1.09 , clause( 59, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.44/1.09 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.44/1.09 ) ] )
% 0.44/1.09 , clause( 60, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.44/1.09 'tc_nat' ) ] )
% 0.44/1.09 , clause( 61, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.44/1.09 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.44/1.09 , clause( 62, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.44/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.44/1.09 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.44/1.09 , clause( 63, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 0.44/1.09 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 0.44/1.09 , clause( 64, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X )
% 0.44/1.09 ] )
% 0.44/1.09 , clause( 65, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z )
% 0.44/1.09 ) ) ] )
% 0.44/1.09 , clause( 66, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 0.44/1.09 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 0.44/1.09 , clause( 67, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.44/1.09 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.44/1.09 ) ) ] )
% 0.44/1.09 , clause( 68, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.44/1.09 ) ] )
% 0.44/1.09 , clause( 69, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.44/1.09 ), =( X, Y ) ] )
% 0.44/1.09 , clause( 70, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 0.44/1.09 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 0.44/1.09 , clause( 71, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.44/1.09 ), =( X, Y ) ] )
% 0.44/1.09 , clause( 72, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.44/1.09 ) ] )
% 0.44/1.09 , clause( 73, [ 'c_InductTermi_OIT'( 'v_s____' ) ] )
% 0.44/1.09 , clause( 74, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.44/1.09 'c_InductTermi_OIT'( X ) ) ] )
% 0.44/1.09 , clause( 75, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.44/1.09 , clause( 76, [ 'c_InductTermi_OIT'( 'v_ta____' ) ] )
% 0.44/1.09 , clause( 77, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.44/1.09 'c_InductTermi_OIT'( X ) ) ] )
% 0.44/1.09 , clause( 78, [ ~( 'c_InductTermi_OIT'( 'v_s____' ) ) ] )
% 0.44/1.09 , clause( 79, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.44/1.09 , clause( 80, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.44/1.09 , clause( 81, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.44/1.09 ] ).
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 subsumption(
% 0.44/1.09 clause( 28, [ 'c_InductTermi_OIT'( 'v_s____' ) ] )
% 0.44/1.09 , clause( 73, [ 'c_InductTermi_OIT'( 'v_s____' ) ] )
% 0.44/1.09 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 resolution(
% 0.44/1.09 clause( 148, [] )
% 0.44/1.09 , clause( 78, [ ~( 'c_InductTermi_OIT'( 'v_s____' ) ) ] )
% 0.44/1.09 , 0, clause( 28, [ 'c_InductTermi_OIT'( 'v_s____' ) ] )
% 0.44/1.09 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 subsumption(
% 0.44/1.09 clause( 33, [] )
% 0.44/1.09 , clause( 148, [] )
% 0.44/1.09 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 end.
% 0.44/1.09
% 0.44/1.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.09
% 0.44/1.09 Memory use:
% 0.44/1.09
% 0.44/1.09 space for terms: 1481
% 0.44/1.09 space for clauses: 2278
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 clauses generated: 44
% 0.44/1.09 clauses kept: 34
% 0.44/1.09 clauses selected: 0
% 0.44/1.09 clauses deleted: 0
% 0.44/1.09 clauses inuse deleted: 0
% 0.44/1.09
% 0.44/1.09 subsentry: 286
% 0.44/1.09 literals s-matched: 193
% 0.44/1.09 literals matched: 193
% 0.44/1.09 full subsumption: 55
% 0.44/1.09
% 0.44/1.09 checksum: -1743044084
% 0.44/1.09
% 0.44/1.09
% 0.44/1.09 Bliksem ended
%------------------------------------------------------------------------------