TSTP Solution File: LCL843-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL843-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% 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 : 0s
% DateTime : Sun Jul 17 07:58:43 EDT 2022
% Result : Unsatisfiable 0.42s 1.06s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL843-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 08:30:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.06 *** allocated 10000 integers for termspace/termends
% 0.42/1.06 *** allocated 10000 integers for clauses
% 0.42/1.06 *** allocated 10000 integers for justifications
% 0.42/1.06 Bliksem 1.12
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Automatic Strategy Selection
% 0.42/1.06
% 0.42/1.06 Clauses:
% 0.42/1.06 [
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.42/1.06 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.42/1.06 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.06 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.06 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.06 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.06 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.42/1.06 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.42/1.06 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.42/1.06 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.42/1.06 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.42/1.06 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.42/1.06 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.42/1.06 'tc_nat' ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.06 ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.06 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.06 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.42/1.06 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.42/1.06 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.42/1.06 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.42/1.06 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.06 ) ],
% 0.42/1.06 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.06 ), =( Z, Y ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.06 , Y, X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.42/1.06 , Y, X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.42/1.06 , X ) ) ],
% 0.42/1.06 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.42/1.06 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.42/1.06 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.42/1.06 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.06 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.42/1.06 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.42/1.06 ), 'tc_nat' ) ) ],
% 0.42/1.06 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.42/1.06 ), 'tc_nat' ) ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.42/1.06 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.42/1.06 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.42/1.06 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.42/1.06 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.42/1.06 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.42/1.06 ) ) ],
% 0.42/1.06 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.42/1.06 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.42/1.06 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.42/1.06 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.42/1.06 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.42/1.06 'tc_nat' ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.42/1.06 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.42/1.06 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.42/1.06 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.42/1.06 ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.42/1.06 ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.42/1.06 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.42/1.06 ,
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.42/1.06 =( Y, T ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.42/1.06 =( X, Z ) ],
% 0.42/1.06 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.42/1.06 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.42/1.06 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.42/1.06 ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.42/1.06 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.42/1.06 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.42/1.06 Z, T ) ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.42/1.06 ) ],
% 0.42/1.06 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.42/1.06 [ =( 'v_env______'( 'v_x______' ), 'v_Ta______' ) ],
% 0.42/1.06 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.42/1.06 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.42/1.06 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.42/1.06 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.42/1.06 'c_InductTermi_OIT'( X ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.42/1.06 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.42/1.06 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.42/1.06 'c_InductTermi_OIT'( X ) ) ],
% 0.42/1.06 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.42/1.06 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.42/1.06 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.42/1.06 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( 'v_x______' ) ) ) ],
% 0.42/1.06 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.42/1.06 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.42/1.06 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.42/1.06 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.42/1.06 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.42/1.06 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 0.42/1.06 ] .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 percentage equality = 0.271186, percentage horn = 0.903226
% 0.42/1.06 This is a problem with some equality
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Options Used:
% 0.42/1.06
% 0.42/1.06 useres = 1
% 0.42/1.06 useparamod = 1
% 0.42/1.06 useeqrefl = 1
% 0.42/1.06 useeqfact = 1
% 0.42/1.06 usefactor = 1
% 0.42/1.06 usesimpsplitting = 0
% 0.42/1.06 usesimpdemod = 5
% 0.42/1.06 usesimpres = 3
% 0.42/1.06
% 0.42/1.06 resimpinuse = 1000
% 0.42/1.06 resimpclauses = 20000
% 0.42/1.06 substype = eqrewr
% 0.42/1.06 backwardsubs = 1
% 0.42/1.06 selectoldest = 5
% 0.42/1.06
% 0.42/1.06 litorderings [0] = split
% 0.42/1.06 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.06
% 0.42/1.06 termordering = kbo
% 0.42/1.06
% 0.42/1.06 litapriori = 0
% 0.42/1.06 termapriori = 1
% 0.42/1.06 litaposteriori = 0
% 0.42/1.06 termaposteriori = 0
% 0.42/1.06 demodaposteriori = 0
% 0.42/1.06 ordereqreflfact = 0
% 0.42/1.06
% 0.42/1.06 litselect = negord
% 0.42/1.06
% 0.42/1.06 maxweight = 15
% 0.42/1.06 maxdepth = 30000
% 0.42/1.06 maxlength = 115
% 0.42/1.06 maxnrvars = 195
% 0.42/1.06 excuselevel = 1
% 0.42/1.06 increasemaxweight = 1
% 0.42/1.06
% 0.42/1.06 maxselected = 10000000
% 0.42/1.06 maxnrclauses = 10000000
% 0.42/1.06
% 0.42/1.06 showgenerated = 0
% 0.42/1.06 showkept = 0
% 0.42/1.06 showselected = 0
% 0.42/1.06 showdeleted = 0
% 0.42/1.06 showresimp = 1
% 0.42/1.06 showstatus = 2000
% 0.42/1.06
% 0.42/1.06 prologoutput = 1
% 0.42/1.06 nrgoals = 5000000
% 0.42/1.06 totalproof = 1
% 0.42/1.06
% 0.42/1.06 Symbols occurring in the translation:
% 0.42/1.06
% 0.42/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.06 . [1, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.42/1.06 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 0.42/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.06 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:40, a:1
% 0.42/1.06 , s:1, b:0),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat' [42, 2] (w:1, o:77, a:1, s:1, b:
% 0.42/1.06 0),
% 0.42/1.06 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.42/1.06 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:82, a:1, s:1, b:0),
% 0.42/1.06 'class_Ring__and__Field_Osemiring__1' [45, 1] (w:1, o:42, a:1, s:1
% 0.42/1.06 , b:0),
% 0.42/1.06 'tc_nat' [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.42/1.06 'class_Nat_Osemiring__char__0' [47, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.42/1.06 'class_Orderings_Opreorder' [49, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.42/1.06 'class_Orderings_Olinorder' [54, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.06 'class_Orderings_Oorder' [55, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.42/1.06 'class_Ring__and__Field_Oordered__idom' [56, 1] (w:1, o:47, a:1, s:1
% 0.42/1.06 , b:0),
% 0.42/1.06 'c_Lambda_OdB_OAbs' [59, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.06 'c_Lambda_Obeta' [61, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.42/1.06 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [63, 2] (w:1, o:79, a:1
% 0.42/1.06 , s:1, b:0),
% 0.42/1.06 'c_Lambda_Olift' [65, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.42/1.06 'c_Lambda_OdB_OVar' [66, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.06 'c_Lambda_Osubst' [68, 3] (w:1, o:83, a:1, s:1, b:0),
% 0.42/1.06 'c_Lambda_OdB_OApp' [70, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.42/1.06 'v_x______' [80, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.42/1.06 'v_env______' [81, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.06 'v_Ta______' [82, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.42/1.06 'c_InductTermi_OIT' [83, 1] (w:1, o:51, a:1, s:1, b:0).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Starting Search:
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksems!, er is een bewijs:
% 0.42/1.06 % SZS status Unsatisfiable
% 0.42/1.06 % SZS output start Refutation
% 0.42/1.06
% 0.42/1.06 clause( 48, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.42/1.06 .
% 0.42/1.06 clause( 51, [] )
% 0.42/1.06 .
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 % SZS output end Refutation
% 0.42/1.06 found a proof!
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 initialclauses(
% 0.42/1.06 [ clause( 53, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.42/1.06 , clause( 54, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.42/1.06 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.42/1.06 , clause( 55, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 0.42/1.06 , clause( 56, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 57, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 0.42/1.06 , clause( 58, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.42/1.06 Y, X ) ) ] )
% 0.42/1.06 , clause( 59, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.42/1.06 Y, X ) ) ] )
% 0.42/1.06 , clause( 60, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.42/1.06 Y, X ) ) ] )
% 0.42/1.06 , clause( 61, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.42/1.06 Y, X ) ) ] )
% 0.42/1.06 , clause( 62, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.42/1.06 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 63, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.42/1.06 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 64, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.42/1.06 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.42/1.06 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 0.42/1.06 , clause( 65, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.42/1.06 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.42/1.06 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 66, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 67, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.42/1.06 , clause( 68, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.06 ), =( Z, Y ) ] )
% 0.42/1.06 , clause( 69, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.42/1.06 , clause( 70, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.42/1.06 , clause( 71, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 72, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.42/1.06 ), =( Z, Y ) ] )
% 0.42/1.06 , clause( 73, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.42/1.06 , clause( 74, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.42/1.06 , clause( 75, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.42/1.06 , clause( 76, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 77, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 78, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.42/1.06 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.42/1.06 , clause( 79, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.42/1.06 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.42/1.06 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.42/1.06 , clause( 80, [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.42/1.06 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 81, [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.42/1.06 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.42/1.06 , clause( 82, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 0.42/1.06 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 0.42/1.06 , clause( 83, [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.42/1.06 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~(
% 0.42/1.06 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ] )
% 0.42/1.06 , clause( 84, [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ),
% 0.42/1.06 'c_Lambda_Olift'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 0.42/1.06 , clause( 85, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 86, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X )
% 0.42/1.06 ] )
% 0.42/1.06 , clause( 87, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 0.42/1.06 'c_Lambda_OdB_OApp'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 0.42/1.06 , clause( 88, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 0.42/1.06 'c_Lambda_OdB_OApp'( X, Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ] )
% 0.42/1.06 , clause( 89, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 0.42/1.06 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 0.42/1.06 , clause( 90, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.42/1.06 'tc_nat' ) ] )
% 0.42/1.06 , clause( 91, [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ),
% 0.42/1.06 'c_Lambda_Osubst'( T, Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ] )
% 0.42/1.06 , clause( 92, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.42/1.06 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 93, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.42/1.06 ), =( X, Y ) ] )
% 0.42/1.06 , clause( 94, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'(
% 0.42/1.06 X ), Y ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 95, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z,
% 0.42/1.06 T ) ) ), =( Y, T ) ] )
% 0.42/1.06 , clause( 96, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z,
% 0.42/1.06 T ) ) ), =( X, Z ) ] )
% 0.42/1.06 , clause( 97, [ 'c_Lambda_Obeta'( X,
% 0.42/1.06 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ), ~(
% 0.42/1.06 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ] )
% 0.42/1.06 , clause( 98, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.42/1.06 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 99, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 100, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z
% 0.42/1.06 ) ) ) ] )
% 0.42/1.06 , clause( 101, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T )
% 0.42/1.06 , 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y
% 0.42/1.06 , Z, T ) ) ) ] )
% 0.42/1.06 , clause( 102, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 103, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.42/1.06 ), =( X, Y ) ] )
% 0.42/1.06 , clause( 104, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 105, [ =( 'v_env______'( 'v_x______' ), 'v_Ta______' ) ] )
% 0.42/1.06 , clause( 106, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 0.42/1.06 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 0.42/1.06 , clause( 107, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ] )
% 0.42/1.06 , clause( 108, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z
% 0.42/1.06 ) ) ) ] )
% 0.42/1.06 , clause( 109, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.42/1.06 'c_InductTermi_OIT'( X ) ) ] )
% 0.42/1.06 , clause( 110, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.42/1.06 ) ] )
% 0.42/1.06 , clause( 111, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.42/1.06 , clause( 112, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.42/1.06 'c_InductTermi_OIT'( X ) ) ] )
% 0.42/1.06 , clause( 113, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 0.42/1.06 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 0.42/1.06 , clause( 114, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z
% 0.42/1.06 ) ) ) ] )
% 0.42/1.06 , clause( 115, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( 'v_x______' )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , clause( 116, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 0.42/1.06 )
% 0.42/1.06 , clause( 117, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 0.42/1.06 , clause( 118, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 0.42/1.06 , clause( 119, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.42/1.06 , clause( 120, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.42/1.06 , clause( 121, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.42/1.06 ] ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 48, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.42/1.06 , clause( 111, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.42/1.06 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 resolution(
% 0.42/1.06 clause( 197, [] )
% 0.42/1.06 , clause( 115, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( 'v_x______' )
% 0.42/1.06 ) ) ] )
% 0.42/1.06 , 0, clause( 48, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 0.42/1.06 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x______' )] )).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 subsumption(
% 0.42/1.06 clause( 51, [] )
% 0.42/1.06 , clause( 197, [] )
% 0.42/1.06 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 end.
% 0.42/1.06
% 0.42/1.06 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/1.06
% 0.42/1.06 Memory use:
% 0.42/1.06
% 0.42/1.06 space for terms: 2271
% 0.42/1.06 space for clauses: 3875
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 clauses generated: 63
% 0.42/1.06 clauses kept: 52
% 0.42/1.06 clauses selected: 0
% 0.42/1.06 clauses deleted: 0
% 0.42/1.06 clauses inuse deleted: 0
% 0.42/1.06
% 0.42/1.06 subsentry: 336
% 0.42/1.06 literals s-matched: 225
% 0.42/1.06 literals matched: 225
% 0.42/1.06 full subsumption: 55
% 0.42/1.06
% 0.42/1.06 checksum: -110822994
% 0.42/1.06
% 0.42/1.06
% 0.42/1.06 Bliksem ended
%------------------------------------------------------------------------------