TSTP Solution File: LCL828-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL828-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 07:58:32 EDT 2022
% Result : Unsatisfiable 13.43s 13.88s
% Output : Refutation 13.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL828-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n003.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 02:00:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.11 *** allocated 10000 integers for termspace/termends
% 0.41/1.11 *** allocated 10000 integers for clauses
% 0.41/1.11 *** allocated 10000 integers for justifications
% 0.41/1.11 Bliksem 1.12
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 Automatic Strategy Selection
% 0.41/1.11
% 0.41/1.11 Clauses:
% 0.41/1.11 [
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.41/1.11 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.41/1.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.41/1.11 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.41/1.11 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.41/1.11 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.41/1.11 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.41/1.11 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.41/1.11 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.41/1.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.41/1.11 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.41/1.11 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.41/1.11 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.41/1.11 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.41/1.11 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.41/1.11 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.41/1.11 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.41/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.41/1.11 'tc_nat' ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.41/1.11 ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.41/1.11 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.41/1.11 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.41/1.11 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.41/1.11 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.41/1.11 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.41/1.11 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.41/1.11 ) ],
% 0.41/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.41/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.41/1.11 ), =( Z, Y ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.41/1.11 , Y, X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.41/1.11 , Y, X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.41/1.11 , X ) ) ],
% 0.41/1.11 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.41/1.11 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.41/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.41/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.41/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.82/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.82/1.22 ), 'tc_nat' ) ) ],
% 0.82/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.82/1.22 ), 'tc_nat' ) ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.82/1.22 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.82/1.22 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.82/1.22 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.82/1.22 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.82/1.22 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.82/1.22 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.82/1.22 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.82/1.22 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.82/1.22 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.82/1.22 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.82/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.82/1.22 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.82/1.22 'tc_nat' ) ],
% 0.82/1.22 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.82/1.22 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.82/1.22 ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.82/1.22 ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.82/1.22 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.82/1.22 =( Y, T ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.82/1.22 =( X, Z ) ],
% 0.82/1.22 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.82/1.22 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.82/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.82/1.22 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.82/1.22 ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.82/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.82/1.22 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.82/1.22 Z, T ) ) ) ],
% 0.82/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.82/1.22 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.82/1.22 'c_InductTermi_OIT'( X ) ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.82/1.22 [ ~( =( 'v_n____', 'v_i____' ) ) ],
% 0.82/1.22 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.82/1.22 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'v_ua______' ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.82/1.22 'c_InductTermi_OIT'( X ) ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 0.82/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.82/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.82/1.22 'tc_Type_Otype' ), 'v_a____', 'v_Ua____' ) ],
% 0.82/1.22 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y ) ), ~(
% 0.82/1.22 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ), ~(
% 0.82/1.22 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ),
% 13.43/13.88 'v_a____', T ) ) ],
% 13.43/13.88 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 13.43/13.88 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 13.43/13.88 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', 'v_u____',
% 13.43/13.88 'v_i____' ) ) ) ],
% 13.43/13.88 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 13.43/13.88 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 13.43/13.88 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 13.43/13.88 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 13.43/13.88 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 13.43/13.88 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 13.43/13.88 ] .
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 percentage equality = 0.253968, percentage horn = 0.910448
% 13.43/13.88 This is a problem with some equality
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Options Used:
% 13.43/13.88
% 13.43/13.88 useres = 1
% 13.43/13.88 useparamod = 1
% 13.43/13.88 useeqrefl = 1
% 13.43/13.88 useeqfact = 1
% 13.43/13.88 usefactor = 1
% 13.43/13.88 usesimpsplitting = 0
% 13.43/13.88 usesimpdemod = 5
% 13.43/13.88 usesimpres = 3
% 13.43/13.88
% 13.43/13.88 resimpinuse = 1000
% 13.43/13.88 resimpclauses = 20000
% 13.43/13.88 substype = eqrewr
% 13.43/13.88 backwardsubs = 1
% 13.43/13.88 selectoldest = 5
% 13.43/13.88
% 13.43/13.88 litorderings [0] = split
% 13.43/13.88 litorderings [1] = extend the termordering, first sorting on arguments
% 13.43/13.88
% 13.43/13.88 termordering = kbo
% 13.43/13.88
% 13.43/13.88 litapriori = 0
% 13.43/13.88 termapriori = 1
% 13.43/13.88 litaposteriori = 0
% 13.43/13.88 termaposteriori = 0
% 13.43/13.88 demodaposteriori = 0
% 13.43/13.88 ordereqreflfact = 0
% 13.43/13.88
% 13.43/13.88 litselect = negord
% 13.43/13.88
% 13.43/13.88 maxweight = 15
% 13.43/13.88 maxdepth = 30000
% 13.43/13.88 maxlength = 115
% 13.43/13.88 maxnrvars = 195
% 13.43/13.88 excuselevel = 1
% 13.43/13.88 increasemaxweight = 1
% 13.43/13.88
% 13.43/13.88 maxselected = 10000000
% 13.43/13.88 maxnrclauses = 10000000
% 13.43/13.88
% 13.43/13.88 showgenerated = 0
% 13.43/13.88 showkept = 0
% 13.43/13.88 showselected = 0
% 13.43/13.88 showdeleted = 0
% 13.43/13.88 showresimp = 1
% 13.43/13.88 showstatus = 2000
% 13.43/13.88
% 13.43/13.88 prologoutput = 1
% 13.43/13.88 nrgoals = 5000000
% 13.43/13.88 totalproof = 1
% 13.43/13.88
% 13.43/13.88 Symbols occurring in the translation:
% 13.43/13.88
% 13.43/13.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.43/13.88 . [1, 2] (w:1, o:62, a:1, s:1, b:0),
% 13.43/13.88 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 13.43/13.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.43/13.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.43/13.88 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:51, a:1
% 13.43/13.88 , s:1, b:0),
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat' [42, 2] (w:1, o:87, a:1, s:1, b:
% 13.43/13.88 0),
% 13.43/13.88 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:52, a:1, s:1, b:0),
% 13.43/13.88 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:92, a:1, s:1, b:0),
% 13.43/13.88 'class_Ring__and__Field_Osemiring__1' [45, 1] (w:1, o:53, a:1, s:1
% 13.43/13.88 , b:0),
% 13.43/13.88 'tc_nat' [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 13.43/13.88 'class_Nat_Osemiring__char__0' [47, 1] (w:1, o:54, a:1, s:1, b:0),
% 13.43/13.88 'class_Orderings_Opreorder' [49, 1] (w:1, o:56, a:1, s:1, b:0),
% 13.43/13.88 'class_Orderings_Olinorder' [54, 1] (w:1, o:57, a:1, s:1, b:0),
% 13.43/13.88 'class_Orderings_Oorder' [55, 1] (w:1, o:55, a:1, s:1, b:0),
% 13.43/13.88 'class_Ring__and__Field_Oordered__idom' [56, 1] (w:1, o:58, a:1, s:1
% 13.43/13.88 , b:0),
% 13.43/13.88 'c_Lambda_OdB_OApp' [60, 2] (w:1, o:88, a:1, s:1, b:0),
% 13.43/13.88 'c_Lambda_OdB_OVar' [62, 1] (w:1, o:59, a:1, s:1, b:0),
% 13.43/13.88 'c_Lambda_OdB_OAbs' [64, 1] (w:1, o:60, a:1, s:1, b:0),
% 13.43/13.88 'c_Lambda_Obeta' [66, 2] (w:1, o:89, a:1, s:1, b:0),
% 13.43/13.88 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [68, 2] (w:1, o:90, a:1
% 13.43/13.88 , s:1, b:0),
% 13.43/13.88 'c_InductTermi_OIT' [70, 1] (w:1, o:61, a:1, s:1, b:0),
% 13.43/13.88 'c_Lambda_Olift' [71, 2] (w:1, o:91, a:1, s:1, b:0),
% 13.43/13.88 'c_Lambda_Osubst' [74, 3] (w:1, o:93, a:1, s:1, b:0),
% 13.43/13.88 'v_n____' [81, 0] (w:1, o:34, a:1, s:1, b:0),
% 13.43/13.88 'v_i____' [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 13.43/13.88 'v_ua______' [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 13.43/13.88 'v_u____' [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 13.43/13.88 'v_e____' [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 13.43/13.88 'v_T____' [86, 0] (w:1, o:39, a:1, s:1, b:0),
% 13.43/13.88 'tc_Type_Otype' [87, 0] (w:1, o:40, a:1, s:1, b:0),
% 13.43/13.88 'c_Type_Oshift' [88, 4] (w:1, o:95, a:1, s:1, b:0),
% 13.43/13.88 'v_a____' [89, 0] (w:1, o:41, a:1, s:1, b:0),
% 13.43/13.88 'v_Ua____' [90, 0] (w:1, o:42, a:1, s:1, b:0),
% 13.43/13.88 'c_Type_Otyping' [91, 3] (w:1, o:94, a:1, s:1, b:0).
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Starting Search:
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 7065
% 13.43/13.88 Kept: 2008
% 13.43/13.88 Inuse: 125
% 13.43/13.88 Deleted: 1
% 13.43/13.88 Deletedinuse: 0
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 14209
% 13.43/13.88 Kept: 4023
% 13.43/13.88 Inuse: 163
% 13.43/13.88 Deleted: 1
% 13.43/13.88 Deletedinuse: 0
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 26409
% 13.43/13.88 Kept: 6044
% 13.43/13.88 Inuse: 223
% 13.43/13.88 Deleted: 2
% 13.43/13.88 Deletedinuse: 0
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 35877
% 13.43/13.88 Kept: 8045
% 13.43/13.88 Inuse: 277
% 13.43/13.88 Deleted: 2
% 13.43/13.88 Deletedinuse: 0
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 45738
% 13.43/13.88 Kept: 10057
% 13.43/13.88 Inuse: 333
% 13.43/13.88 Deleted: 2
% 13.43/13.88 Deletedinuse: 0
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 65243
% 13.43/13.88 Kept: 12198
% 13.43/13.88 Inuse: 448
% 13.43/13.88 Deleted: 3
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 83986
% 13.43/13.88 Kept: 14199
% 13.43/13.88 Inuse: 550
% 13.43/13.88 Deleted: 3
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 92474
% 13.43/13.88 Kept: 16209
% 13.43/13.88 Inuse: 588
% 13.43/13.88 Deleted: 3
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 116179
% 13.43/13.88 Kept: 18331
% 13.43/13.88 Inuse: 651
% 13.43/13.88 Deleted: 3
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying clauses:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 128132
% 13.43/13.88 Kept: 20342
% 13.43/13.88 Inuse: 696
% 13.43/13.88 Deleted: 39
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 150880
% 13.43/13.88 Kept: 22349
% 13.43/13.88 Inuse: 790
% 13.43/13.88 Deleted: 40
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 162719
% 13.43/13.88 Kept: 24359
% 13.43/13.88 Inuse: 843
% 13.43/13.88 Deleted: 40
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 181430
% 13.43/13.88 Kept: 26383
% 13.43/13.88 Inuse: 899
% 13.43/13.88 Deleted: 40
% 13.43/13.88 Deletedinuse: 1
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 226840
% 13.43/13.88 Kept: 28404
% 13.43/13.88 Inuse: 989
% 13.43/13.88 Deleted: 49
% 13.43/13.88 Deletedinuse: 10
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 252220
% 13.43/13.88 Kept: 31233
% 13.43/13.88 Inuse: 1004
% 13.43/13.88 Deleted: 49
% 13.43/13.88 Deletedinuse: 10
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 280684
% 13.43/13.88 Kept: 33766
% 13.43/13.88 Inuse: 1025
% 13.43/13.88 Deleted: 49
% 13.43/13.88 Deletedinuse: 10
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 304435
% 13.43/13.88 Kept: 35770
% 13.43/13.88 Inuse: 1091
% 13.43/13.88 Deleted: 52
% 13.43/13.88 Deletedinuse: 10
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 338939
% 13.43/13.88 Kept: 37782
% 13.43/13.88 Inuse: 1192
% 13.43/13.88 Deleted: 52
% 13.43/13.88 Deletedinuse: 10
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 356316
% 13.43/13.88 Kept: 39793
% 13.43/13.88 Inuse: 1236
% 13.43/13.88 Deleted: 52
% 13.43/13.88 Deletedinuse: 10
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying clauses:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 378688
% 13.43/13.88 Kept: 41906
% 13.43/13.88 Inuse: 1272
% 13.43/13.88 Deleted: 201
% 13.43/13.88 Deletedinuse: 11
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 410587
% 13.43/13.88 Kept: 43916
% 13.43/13.88 Inuse: 1358
% 13.43/13.88 Deleted: 201
% 13.43/13.88 Deletedinuse: 11
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 437217
% 13.43/13.88 Kept: 46198
% 13.43/13.88 Inuse: 1429
% 13.43/13.88 Deleted: 201
% 13.43/13.88 Deletedinuse: 11
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 491013
% 13.43/13.88 Kept: 48205
% 13.43/13.88 Inuse: 1476
% 13.43/13.88 Deleted: 201
% 13.43/13.88 Deletedinuse: 11
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 562906
% 13.43/13.88 Kept: 50276
% 13.43/13.88 Inuse: 1582
% 13.43/13.88 Deleted: 201
% 13.43/13.88 Deletedinuse: 11
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Intermediate Status:
% 13.43/13.88 Generated: 646506
% 13.43/13.88 Kept: 52293
% 13.43/13.88 Inuse: 1720
% 13.43/13.88 Deleted: 204
% 13.43/13.88 Deletedinuse: 11
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88 Resimplifying inuse:
% 13.43/13.88 Done
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 Bliksems!, er is een bewijs:
% 13.43/13.88 % SZS status Unsatisfiable
% 13.43/13.88 % SZS output start Refutation
% 13.43/13.88
% 13.43/13.88 clause( 34, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) )
% 13.43/13.88 , =( X, Y ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 51, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 53, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 13.43/13.88 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_Ua____' ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 54, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y ) ),
% 13.43/13.88 ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ),
% 13.43/13.88 ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' )
% 13.43/13.88 , 'v_a____', T ) ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 55, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 56, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____',
% 13.43/13.88 'v_u____', 'v_i____' ) ) ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 1978, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X,
% 13.43/13.88 'v_i____' ) ) ), ~( =( 'c_Lambda_OdB_OAbs'( 'v_u____' ),
% 13.43/13.88 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 1996, [ 'c_InductTermi_OIT'( X ), ~( =( 'c_Lambda_OdB_OAbs'(
% 13.43/13.88 'v_u____' ), 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 4506, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X,
% 13.43/13.88 'v_i____' ) ), ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ), ~(
% 13.43/13.88 'c_InductTermi_OIT'( X ) ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 54059, [ ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ), ~( =(
% 13.43/13.88 'c_Lambda_OdB_OAbs'( 'v_u____' ), 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 13.43/13.88 .
% 13.43/13.88 clause( 54091, [] )
% 13.43/13.88 .
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 % SZS output end Refutation
% 13.43/13.88 found a proof!
% 13.43/13.88
% 13.43/13.88 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 13.43/13.88
% 13.43/13.88 initialclauses(
% 13.43/13.88 [ clause( 54093, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.43/13.88 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 13.43/13.88 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 13.43/13.88 , clause( 54094, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 13.43/13.88 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 13.43/13.88 , clause( 54095, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 13.43/13.88 , clause( 54096, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54097, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 13.43/13.88 , clause( 54098, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 13.43/13.88 Y, X ) ) ] )
% 13.43/13.88 , clause( 54099, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 13.43/13.88 Y, X ) ) ] )
% 13.43/13.88 , clause( 54100, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 13.43/13.88 Y, X ) ) ] )
% 13.43/13.88 , clause( 54101, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 13.43/13.88 Y, X ) ) ] )
% 13.43/13.88 , clause( 54102, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 13.43/13.88 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54103, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 13.43/13.88 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 13.43/13.88 ] )
% 13.43/13.88 , clause( 54104, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 13.43/13.88 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 13.43/13.88 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 13.43/13.88 , clause( 54105, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 13.43/13.88 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 13.43/13.88 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54106, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 13.43/13.88 ) ] )
% 13.43/13.88 , clause( 54107, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 13.43/13.88 , clause( 54108, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 13.43/13.88 ), =( Z, Y ) ] )
% 13.43/13.88 , clause( 54109, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 13.43/13.88 , clause( 54110, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 13.43/13.88 , clause( 54111, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 13.43/13.88 ) ] )
% 13.43/13.88 , clause( 54112, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 13.43/13.88 ), =( Z, Y ) ] )
% 13.43/13.88 , clause( 54113, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 13.43/13.88 , clause( 54114, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 13.43/13.88 , clause( 54115, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 13.43/13.88 , clause( 54116, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54117, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54118, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 13.43/13.88 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 13.43/13.88 , clause( 54119, [ ~( 'class_Orderings_Oorder'( X ) ),
% 13.43/13.88 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 13.43/13.88 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 13.43/13.88 , clause( 54120, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 13.43/13.88 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54121, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 13.43/13.88 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 13.43/13.88 , clause( 54122, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'(
% 13.43/13.88 Z ) ) ) ] )
% 13.43/13.88 , clause( 54123, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 13.43/13.88 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 13.43/13.88 , clause( 54124, [ =( X, 'c_Lambda_OdB_OAbs'(
% 13.43/13.88 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~(
% 13.43/13.88 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ] )
% 13.43/13.88 , clause( 54125, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 13.43/13.88 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 13.43/13.88 , clause( 54126, [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ),
% 13.43/13.88 'c_Lambda_Olift'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 13.43/13.88 , clause( 54127, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 13.43/13.88 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 13.43/13.88 ) ) ] )
% 13.43/13.88 , clause( 54128, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 13.43/13.88 'c_Lambda_OdB_OApp'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 13.43/13.88 , clause( 54129, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 13.43/13.88 'c_Lambda_OdB_OApp'( X, Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ] )
% 13.43/13.88 , clause( 54130, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 13.43/13.88 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 13.43/13.88 , clause( 54131, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 13.43/13.88 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 13.43/13.88 'tc_nat' ) ] )
% 13.43/13.88 , clause( 54132, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 13.43/13.88 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 13.43/13.88 ) ] )
% 13.43/13.88 , clause( 54133, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 13.43/13.88 ) ) ] )
% 13.43/13.88 , clause( 54134, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 13.43/13.88 ) ), =( X, Y ) ] )
% 13.43/13.88 , clause( 54135, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y,
% 13.43/13.88 Z ) ) ) ] )
% 13.43/13.88 , clause( 54136, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'(
% 13.43/13.88 'c_Lambda_OdB_OAbs'( X ), Y ), 'c_Lambda_Osubst'( X, Y,
% 13.43/13.88 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 13.43/13.88 , clause( 54137, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 13.43/13.88 Z, T ) ) ), =( Y, T ) ] )
% 13.43/13.88 , clause( 54138, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 13.43/13.88 Z, T ) ) ), =( X, Z ) ] )
% 13.43/13.88 , clause( 54139, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ]
% 13.43/13.88 )
% 13.43/13.88 , clause( 54140, [ 'c_Lambda_Obeta'( X,
% 13.43/13.88 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ), ~(
% 13.43/13.88 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ] )
% 13.43/13.88 , clause( 54141, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 13.43/13.88 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 13.43/13.88 ) ) ] )
% 13.43/13.88 , clause( 54142, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y,
% 13.43/13.88 Z ) ) ) ] )
% 13.43/13.88 , clause( 54143, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y )
% 13.43/13.88 ) ), =( X, Y ) ] )
% 13.43/13.88 , clause( 54144, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'(
% 13.43/13.88 Z ) ) ) ] )
% 13.43/13.88 , clause( 54145, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y )
% 13.43/13.88 ) ) ] )
% 13.43/13.88 , clause( 54146, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T
% 13.43/13.88 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'(
% 13.43/13.88 Y, Z, T ) ) ) ] )
% 13.43/13.88 , clause( 54147, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 13.43/13.88 Y ) ] )
% 13.43/13.88 , clause( 54148, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 13.43/13.88 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 13.43/13.88 , clause( 54149, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 13.43/13.88 'c_InductTermi_OIT'( X ) ) ] )
% 13.43/13.88 , clause( 54150, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 13.43/13.88 , clause( 54151, [ ~( =( 'v_n____', 'v_i____' ) ) ] )
% 13.43/13.88 , clause( 54152, [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ),
% 13.43/13.88 'c_Lambda_Osubst'( T, Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ] )
% 13.43/13.88 , clause( 54153, [ 'c_InductTermi_OIT'( 'v_ua______' ) ] )
% 13.43/13.88 , clause( 54154, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 13.43/13.88 'c_InductTermi_OIT'( X ) ) ] )
% 13.43/13.88 , clause( 54155, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 13.43/13.88 , clause( 54156, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 13.43/13.88 X ) ] )
% 13.43/13.88 , clause( 54157, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 13.43/13.88 , 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_Ua____' ) ] )
% 13.43/13.88 , clause( 54158, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y
% 13.43/13.88 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X
% 13.43/13.88 ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____',
% 13.43/13.88 'tc_Type_Otype' ), 'v_a____', T ) ) ] )
% 13.43/13.88 , clause( 54159, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 13.43/13.88 , clause( 54160, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 13.43/13.88 , clause( 54161, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____',
% 13.43/13.88 'v_u____', 'v_i____' ) ) ) ] )
% 13.43/13.88 , clause( 54162, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 13.43/13.88 )
% 13.43/13.88 , clause( 54163, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 13.43/13.88 , clause( 54164, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 13.43/13.88 , clause( 54165, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 13.43/13.88 , clause( 54166, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 13.43/13.88 , clause( 54167, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 13.43/13.88 ] ).
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 subsumption(
% 13.43/13.88 clause( 34, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) )
% 13.43/13.88 , =( X, Y ) ] )
% 13.43/13.88 , clause( 54134, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 13.43/13.88 ) ), =( X, Y ) ] )
% 13.43/13.88 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 13.43/13.88 ), ==>( 1, 1 )] ) ).
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 subsumption(
% 13.43/13.88 clause( 51, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 13.43/13.88 , clause( 54155, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 13.43/13.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 subsumption(
% 13.43/13.88 clause( 53, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 13.43/13.88 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_Ua____' ) ] )
% 13.43/13.88 , clause( 54157, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 13.43/13.88 , 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_Ua____' ) ] )
% 13.43/13.88 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 13.43/13.88
% 13.43/13.88
% 13.43/13.88 subsumption(
% 13.43/13.88 clause( 54, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y ) ),
% 13.43/13.88 ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ),
% 13.43/13.88 ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' )
% 13.43/13.88 , 'v_aCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------