TSTP Solution File: LCL844-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL844-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 07:58:43 EDT 2022
% Result : Unsatisfiable 0.69s 1.08s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LCL844-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.11 % Command : bliksem %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % DateTime : Sun Jul 3 13:32:40 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.69/1.08 *** allocated 10000 integers for termspace/termends
% 0.69/1.08 *** allocated 10000 integers for clauses
% 0.69/1.08 *** allocated 10000 integers for justifications
% 0.69/1.08 Bliksem 1.12
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Automatic Strategy Selection
% 0.69/1.08
% 0.69/1.08 Clauses:
% 0.69/1.08 [
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.69/1.08 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.69/1.08 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.69/1.08 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.69/1.08 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.69/1.08 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.69/1.08 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.69/1.08 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.69/1.08 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.69/1.08 Z, T ) ) ) ],
% 0.69/1.08 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.69/1.08 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.69/1.08 ) ) ],
% 0.69/1.08 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.69/1.08 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.69/1.08 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.69/1.08 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.69/1.08 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.69/1.08 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.69/1.08 'tc_nat' ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.69/1.08 ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.69/1.08 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.69/1.08 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.69/1.08 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.69/1.08 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.69/1.08 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.69/1.08 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.69/1.08 ) ],
% 0.69/1.08 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.69/1.08 ), =( Z, Y ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.69/1.08 , Y, X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.69/1.08 , Y, X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.69/1.08 , X ) ) ],
% 0.69/1.08 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.69/1.08 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.69/1.08 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.69/1.08 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.69/1.08 'tc_nat' ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.69/1.08 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.69/1.08 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.69/1.08 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.69/1.08 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.69/1.08 ), 'tc_nat' ) ) ],
% 0.69/1.08 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.69/1.08 ), 'tc_nat' ) ) ],
% 0.69/1.08 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.69/1.08 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.69/1.08 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.69/1.08 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.69/1.08 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.69/1.08 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.69/1.08 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.69/1.08 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.69/1.08 ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.69/1.08 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.69/1.08 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.69/1.08 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.69/1.08 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.69/1.08 ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.69/1.08 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.69/1.08 ,
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.69/1.08 =( Y, T ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.69/1.08 =( X, Z ) ],
% 0.69/1.08 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.69/1.08 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.69/1.08 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.69/1.08 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.69/1.08 ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.69/1.08 [ 'c_InductTermi_OIT'( 'v_ta______' ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.69/1.08 ) ],
% 0.69/1.08 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ],
% 0.69/1.08 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.69/1.08 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.69/1.08 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ],
% 0.69/1.08 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.69/1.08 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.69/1.08 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( 'v_ta______' ) ) ) ],
% 0.69/1.08 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.69/1.08 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.69/1.08 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.69/1.08 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.69/1.08 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.69/1.08 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 0.69/1.08 ] .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 percentage equality = 0.258621, percentage horn = 0.918033
% 0.69/1.08 This is a problem with some equality
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Options Used:
% 0.69/1.08
% 0.69/1.08 useres = 1
% 0.69/1.08 useparamod = 1
% 0.69/1.08 useeqrefl = 1
% 0.69/1.08 useeqfact = 1
% 0.69/1.08 usefactor = 1
% 0.69/1.08 usesimpsplitting = 0
% 0.69/1.08 usesimpdemod = 5
% 0.69/1.08 usesimpres = 3
% 0.69/1.08
% 0.69/1.08 resimpinuse = 1000
% 0.69/1.08 resimpclauses = 20000
% 0.69/1.08 substype = eqrewr
% 0.69/1.08 backwardsubs = 1
% 0.69/1.08 selectoldest = 5
% 0.69/1.08
% 0.69/1.08 litorderings [0] = split
% 0.69/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.08
% 0.69/1.08 termordering = kbo
% 0.69/1.08
% 0.69/1.08 litapriori = 0
% 0.69/1.08 termapriori = 1
% 0.69/1.08 litaposteriori = 0
% 0.69/1.08 termaposteriori = 0
% 0.69/1.08 demodaposteriori = 0
% 0.69/1.08 ordereqreflfact = 0
% 0.69/1.08
% 0.69/1.08 litselect = negord
% 0.69/1.08
% 0.69/1.08 maxweight = 15
% 0.69/1.08 maxdepth = 30000
% 0.69/1.08 maxlength = 115
% 0.69/1.08 maxnrvars = 195
% 0.69/1.08 excuselevel = 1
% 0.69/1.08 increasemaxweight = 1
% 0.69/1.08
% 0.69/1.08 maxselected = 10000000
% 0.69/1.08 maxnrclauses = 10000000
% 0.69/1.08
% 0.69/1.08 showgenerated = 0
% 0.69/1.08 showkept = 0
% 0.69/1.08 showselected = 0
% 0.69/1.08 showdeleted = 0
% 0.69/1.08 showresimp = 1
% 0.69/1.08 showstatus = 2000
% 0.69/1.08
% 0.69/1.08 prologoutput = 1
% 0.69/1.08 nrgoals = 5000000
% 0.69/1.08 totalproof = 1
% 0.69/1.08
% 0.69/1.08 Symbols occurring in the translation:
% 0.69/1.08
% 0.69/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.08 . [1, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.69/1.08 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 0.69/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.08 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:39, a:1
% 0.69/1.08 , s:1, b:0),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat' [42, 2] (w:1, o:75, a:1, s:1, b:
% 0.69/1.08 0),
% 0.69/1.08 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.69/1.08 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:80, a:1, s:1, b:0),
% 0.69/1.08 'class_Ring__and__Field_Osemiring__1' [45, 1] (w:1, o:41, a:1, s:1
% 0.69/1.08 , b:0),
% 0.69/1.08 'tc_nat' [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.69/1.08 'class_Nat_Osemiring__char__0' [47, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.69/1.08 'class_Orderings_Opreorder' [49, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.69/1.08 'class_Orderings_Olinorder' [54, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.69/1.08 'class_Orderings_Oorder' [55, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.69/1.08 'c_Lambda_OdB_OApp' [58, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.69/1.08 'c_Lambda_Osubst' [61, 3] (w:1, o:81, a:1, s:1, b:0),
% 0.69/1.08 'c_Lambda_OdB_OVar' [62, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.69/1.08 'class_Ring__and__Field_Oordered__idom' [65, 1] (w:1, o:47, a:1, s:1
% 0.69/1.08 , b:0),
% 0.69/1.08 'c_Lambda_Obeta' [67, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.69/1.08 'c_Lambda_Olift' [69, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.69/1.08 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [73, 2] (w:1, o:79, a:1
% 0.69/1.08 , s:1, b:0),
% 0.69/1.08 'c_Lambda_OdB_OAbs' [74, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.69/1.08 'c_InductTermi_OIT' [75, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.69/1.08 'v_ta______' [80, 0] (w:1, o:32, a:1, s:1, b:0).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Starting Search:
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Bliksems!, er is een bewijs:
% 0.69/1.08 % SZS status Unsatisfiable
% 0.69/1.08 % SZS output start Refutation
% 0.69/1.08
% 0.69/1.08 clause( 45, [ 'c_InductTermi_OIT'( 'v_ta______' ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 49, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 51, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( 'v_ta______' ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 .
% 0.69/1.08 clause( 86, [] )
% 0.69/1.08 .
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 % SZS output end Refutation
% 0.69/1.08 found a proof!
% 0.69/1.08
% 0.69/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.08
% 0.69/1.08 initialclauses(
% 0.69/1.08 [ clause( 88, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.69/1.08 , clause( 89, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.69/1.08 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.69/1.08 , clause( 90, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 0.69/1.08 , clause( 91, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 92, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 0.69/1.08 , clause( 93, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.69/1.08 Y, X ) ) ] )
% 0.69/1.08 , clause( 94, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.69/1.08 Y, X ) ) ] )
% 0.69/1.08 , clause( 95, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.69/1.08 Y, X ) ) ] )
% 0.69/1.08 , clause( 96, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.69/1.08 Y, X ) ) ] )
% 0.69/1.08 , clause( 97, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.69/1.08 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.69/1.08 Z, T ) ) ) ] )
% 0.69/1.08 , clause( 98, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 99, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 100, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.69/1.08 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 101, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.69/1.08 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.69/1.08 ] )
% 0.69/1.08 , clause( 102, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.69/1.08 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.69/1.08 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 0.69/1.08 , clause( 103, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.69/1.08 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.69/1.08 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 104, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 105, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.69/1.08 , clause( 106, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.69/1.08 ), =( Z, Y ) ] )
% 0.69/1.08 , clause( 107, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.69/1.08 , clause( 108, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.69/1.08 , clause( 109, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 110, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.69/1.08 ), =( Z, Y ) ] )
% 0.69/1.08 , clause( 111, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.69/1.08 , clause( 112, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.69/1.08 , clause( 113, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.69/1.08 , clause( 114, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 115, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 116, [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ),
% 0.69/1.08 'c_Lambda_Osubst'( T, Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ] )
% 0.69/1.08 , clause( 117, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.69/1.08 'tc_nat' ) ] )
% 0.69/1.08 , clause( 118, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.69/1.08 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.69/1.08 , clause( 119, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.69/1.08 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.69/1.08 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.69/1.08 , clause( 120, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.69/1.08 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 121, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.69/1.08 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.69/1.08 , clause( 122, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 0.69/1.08 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 0.69/1.08 , clause( 123, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 124, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 125, [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.69/1.08 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~(
% 0.69/1.08 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ] )
% 0.69/1.08 , clause( 126, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 0.69/1.08 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , clause( 127, [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ),
% 0.69/1.08 'c_Lambda_Olift'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 0.69/1.08 , clause( 128, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.69/1.08 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 129, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 0.69/1.08 'c_Lambda_OdB_OApp'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 0.69/1.08 , clause( 130, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 0.69/1.08 'c_Lambda_OdB_OApp'( X, Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ] )
% 0.69/1.08 , clause( 131, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.69/1.08 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 132, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 133, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'(
% 0.69/1.08 X ), Y ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , clause( 134, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.69/1.08 , T ) ) ), =( Y, T ) ] )
% 0.69/1.08 , clause( 135, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.69/1.08 , T ) ) ), =( X, Z ) ] )
% 0.69/1.08 , clause( 136, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ] )
% 0.69/1.08 , clause( 137, [ 'c_Lambda_Obeta'( X,
% 0.69/1.08 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ), ~(
% 0.69/1.08 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ] )
% 0.69/1.08 , clause( 138, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 0.69/1.08 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , clause( 139, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.69/1.08 ), =( X, Y ) ] )
% 0.69/1.08 , clause( 140, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 141, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 142, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 143, [ 'c_InductTermi_OIT'( 'v_ta______' ) ] )
% 0.69/1.08 , clause( 144, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.69/1.08 ), =( X, Y ) ] )
% 0.69/1.08 , clause( 145, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , clause( 146, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 147, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.69/1.08 , clause( 148, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , clause( 149, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 0.69/1.08 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 0.69/1.08 , clause( 150, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( 'v_ta______'
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , clause( 151, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 0.69/1.08 )
% 0.69/1.08 , clause( 152, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 0.69/1.08 , clause( 153, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 0.69/1.08 , clause( 154, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.69/1.08 , clause( 155, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.69/1.08 , clause( 156, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.69/1.08 ] ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 45, [ 'c_InductTermi_OIT'( 'v_ta______' ) ] )
% 0.69/1.08 , clause( 143, [ 'c_InductTermi_OIT'( 'v_ta______' ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 49, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , clause( 148, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.69/1.08 1 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 51, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( 'v_ta______' ) )
% 0.69/1.08 ) ] )
% 0.69/1.08 , clause( 150, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( 'v_ta______'
% 0.69/1.08 ) ) ) ] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 266, [ ~( 'c_InductTermi_OIT'( 'v_ta______' ) ) ] )
% 0.69/1.08 , clause( 51, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( 'v_ta______' )
% 0.69/1.08 ) ) ] )
% 0.69/1.08 , 0, clause( 49, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.69/1.08 'c_InductTermi_OIT'( X ) ) ] )
% 0.69/1.08 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_ta______' )] )
% 0.69/1.08 ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 resolution(
% 0.69/1.08 clause( 267, [] )
% 0.69/1.08 , clause( 266, [ ~( 'c_InductTermi_OIT'( 'v_ta______' ) ) ] )
% 0.69/1.08 , 0, clause( 45, [ 'c_InductTermi_OIT'( 'v_ta______' ) ] )
% 0.69/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 subsumption(
% 0.69/1.08 clause( 86, [] )
% 0.69/1.08 , clause( 267, [] )
% 0.69/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 end.
% 0.69/1.08
% 0.69/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.08
% 0.69/1.08 Memory use:
% 0.69/1.08
% 0.69/1.08 space for terms: 2716
% 0.69/1.08 space for clauses: 5655
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 clauses generated: 177
% 0.69/1.08 clauses kept: 87
% 0.69/1.08 clauses selected: 17
% 0.69/1.08 clauses deleted: 0
% 0.69/1.08 clauses inuse deleted: 0
% 0.69/1.08
% 0.69/1.08 subsentry: 715
% 0.69/1.08 literals s-matched: 519
% 0.69/1.08 literals matched: 519
% 0.69/1.08 full subsumption: 132
% 0.69/1.08
% 0.69/1.08 checksum: -930405083
% 0.69/1.08
% 0.69/1.08
% 0.69/1.08 Bliksem ended
%------------------------------------------------------------------------------