TSTP Solution File: LCL808-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL808-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 07:58:16 EDT 2022
% Result : Unsatisfiable 12.81s 13.17s
% Output : Refutation 12.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL808-1 : TPTP v8.1.0. Released v4.1.0.
% 0.02/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sat Jul 2 15:04:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09 [
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.71/1.09 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.71/1.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.71/1.09 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.71/1.09 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.71/1.09 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.09 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.09 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.09 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.09 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.09 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.71/1.09 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.71/1.09 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.71/1.09 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.71/1.09 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.71/1.09 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.71/1.09 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.71/1.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.71/1.09 'tc_nat' ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.09 ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.09 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.09 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.71/1.09 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.09 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.71/1.09 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.09 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.09 ) ],
% 0.71/1.09 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.09 ), =( Z, Y ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.09 , Y, X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.09 , Y, X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.71/1.09 , X ) ) ],
% 0.71/1.09 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.71/1.09 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.09 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.71/1.09 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.09 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.75/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.75/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.75/1.20 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.20 ), 'tc_nat' ) ) ],
% 0.75/1.20 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.20 ), 'tc_nat' ) ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.75/1.20 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.75/1.20 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.75/1.20 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.75/1.20 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.75/1.20 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.75/1.20 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.75/1.20 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.75/1.20 ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.75/1.20 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.75/1.20 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.75/1.20 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.75/1.20 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.20 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.20 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.75/1.20 'tc_nat' ) ],
% 0.75/1.20 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.75/1.20 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.75/1.20 ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.75/1.20 ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.75/1.20 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.75/1.20 ,
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.75/1.20 =( Y, T ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.75/1.20 =( X, Z ) ],
% 0.75/1.20 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.75/1.20 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.75/1.20 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.20 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.75/1.20 ) ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.75/1.20 ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.75/1.20 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.75/1.20 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.75/1.20 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.75/1.20 Z, T ) ) ) ],
% 0.75/1.20 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.75/1.20 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.75/1.20 'c_InductTermi_OIT'( X ) ) ],
% 0.75/1.20 [ =( 'v_n____', 'v_i____' ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.75/1.20 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.75/1.20 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'v_ua______' ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.75/1.20 'c_InductTermi_OIT'( X ) ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 0.75/1.20 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.75/1.20 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.75/1.20 'tc_Type_Otype' ), 'v_b____', 'v_Ua____' ) ],
% 0.75/1.20 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____', X, Y ) ), ~(
% 0.75/1.20 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ), ~(
% 0.75/1.20 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ),
% 12.81/13.17 'v_b____', T ) ) ],
% 12.81/13.17 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 12.81/13.17 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 12.81/13.17 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____', 'v_u____',
% 12.81/13.17 'v_i____' ) ) ) ],
% 12.81/13.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 12.81/13.17 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 12.81/13.17 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 12.81/13.17 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 12.81/13.17 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 12.81/13.17 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 12.81/13.17 ] .
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 percentage equality = 0.253968, percentage horn = 0.910448
% 12.81/13.17 This is a problem with some equality
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Options Used:
% 12.81/13.17
% 12.81/13.17 useres = 1
% 12.81/13.17 useparamod = 1
% 12.81/13.17 useeqrefl = 1
% 12.81/13.17 useeqfact = 1
% 12.81/13.17 usefactor = 1
% 12.81/13.17 usesimpsplitting = 0
% 12.81/13.17 usesimpdemod = 5
% 12.81/13.17 usesimpres = 3
% 12.81/13.17
% 12.81/13.17 resimpinuse = 1000
% 12.81/13.17 resimpclauses = 20000
% 12.81/13.17 substype = eqrewr
% 12.81/13.17 backwardsubs = 1
% 12.81/13.17 selectoldest = 5
% 12.81/13.17
% 12.81/13.17 litorderings [0] = split
% 12.81/13.17 litorderings [1] = extend the termordering, first sorting on arguments
% 12.81/13.17
% 12.81/13.17 termordering = kbo
% 12.81/13.17
% 12.81/13.17 litapriori = 0
% 12.81/13.17 termapriori = 1
% 12.81/13.17 litaposteriori = 0
% 12.81/13.17 termaposteriori = 0
% 12.81/13.17 demodaposteriori = 0
% 12.81/13.17 ordereqreflfact = 0
% 12.81/13.17
% 12.81/13.17 litselect = negord
% 12.81/13.17
% 12.81/13.17 maxweight = 15
% 12.81/13.17 maxdepth = 30000
% 12.81/13.17 maxlength = 115
% 12.81/13.17 maxnrvars = 195
% 12.81/13.17 excuselevel = 1
% 12.81/13.17 increasemaxweight = 1
% 12.81/13.17
% 12.81/13.17 maxselected = 10000000
% 12.81/13.17 maxnrclauses = 10000000
% 12.81/13.17
% 12.81/13.17 showgenerated = 0
% 12.81/13.17 showkept = 0
% 12.81/13.17 showselected = 0
% 12.81/13.17 showdeleted = 0
% 12.81/13.17 showresimp = 1
% 12.81/13.17 showstatus = 2000
% 12.81/13.17
% 12.81/13.17 prologoutput = 1
% 12.81/13.17 nrgoals = 5000000
% 12.81/13.17 totalproof = 1
% 12.81/13.17
% 12.81/13.17 Symbols occurring in the translation:
% 12.81/13.17
% 12.81/13.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 12.81/13.17 . [1, 2] (w:1, o:62, a:1, s:1, b:0),
% 12.81/13.17 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 12.81/13.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.81/13.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 12.81/13.17 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:51, a:1
% 12.81/13.17 , s:1, b:0),
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat' [42, 2] (w:1, o:87, a:1, s:1, b:
% 12.81/13.17 0),
% 12.81/13.17 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:52, a:1, s:1, b:0),
% 12.81/13.17 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:92, a:1, s:1, b:0),
% 12.81/13.17 'class_Ring__and__Field_Osemiring__1' [45, 1] (w:1, o:53, a:1, s:1
% 12.81/13.17 , b:0),
% 12.81/13.17 'tc_nat' [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 12.81/13.17 'class_Nat_Osemiring__char__0' [47, 1] (w:1, o:54, a:1, s:1, b:0),
% 12.81/13.17 'class_Orderings_Opreorder' [49, 1] (w:1, o:56, a:1, s:1, b:0),
% 12.81/13.17 'class_Orderings_Olinorder' [54, 1] (w:1, o:57, a:1, s:1, b:0),
% 12.81/13.17 'class_Orderings_Oorder' [55, 1] (w:1, o:55, a:1, s:1, b:0),
% 12.81/13.17 'class_Ring__and__Field_Oordered__idom' [56, 1] (w:1, o:58, a:1, s:1
% 12.81/13.17 , b:0),
% 12.81/13.17 'c_Lambda_OdB_OApp' [60, 2] (w:1, o:88, a:1, s:1, b:0),
% 12.81/13.17 'c_Lambda_OdB_OVar' [62, 1] (w:1, o:59, a:1, s:1, b:0),
% 12.81/13.17 'c_Lambda_OdB_OAbs' [64, 1] (w:1, o:60, a:1, s:1, b:0),
% 12.81/13.17 'c_Lambda_Obeta' [66, 2] (w:1, o:89, a:1, s:1, b:0),
% 12.81/13.17 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [68, 2] (w:1, o:90, a:1
% 12.81/13.17 , s:1, b:0),
% 12.81/13.17 'c_InductTermi_OIT' [70, 1] (w:1, o:61, a:1, s:1, b:0),
% 12.81/13.17 'c_Lambda_Olift' [71, 2] (w:1, o:91, a:1, s:1, b:0),
% 12.81/13.17 'c_Lambda_Osubst' [74, 3] (w:1, o:93, a:1, s:1, b:0),
% 12.81/13.17 'v_n____' [81, 0] (w:1, o:34, a:1, s:1, b:0),
% 12.81/13.17 'v_i____' [82, 0] (w:1, o:35, a:1, s:1, b:0),
% 12.81/13.17 'v_ua______' [83, 0] (w:1, o:36, a:1, s:1, b:0),
% 12.81/13.17 'v_u____' [84, 0] (w:1, o:37, a:1, s:1, b:0),
% 12.81/13.17 'v_e____' [85, 0] (w:1, o:38, a:1, s:1, b:0),
% 12.81/13.17 'v_T____' [86, 0] (w:1, o:39, a:1, s:1, b:0),
% 12.81/13.17 'tc_Type_Otype' [87, 0] (w:1, o:40, a:1, s:1, b:0),
% 12.81/13.17 'c_Type_Oshift' [88, 4] (w:1, o:95, a:1, s:1, b:0),
% 12.81/13.17 'v_b____' [89, 0] (w:1, o:41, a:1, s:1, b:0),
% 12.81/13.17 'v_Ua____' [90, 0] (w:1, o:42, a:1, s:1, b:0),
% 12.81/13.17 'c_Type_Otyping' [91, 3] (w:1, o:94, a:1, s:1, b:0).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Starting Search:
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 7190
% 12.81/13.17 Kept: 2006
% 12.81/13.17 Inuse: 127
% 12.81/13.17 Deleted: 1
% 12.81/13.17 Deletedinuse: 0
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 14041
% 12.81/13.17 Kept: 4014
% 12.81/13.17 Inuse: 162
% 12.81/13.17 Deleted: 1
% 12.81/13.17 Deletedinuse: 0
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 26123
% 12.81/13.17 Kept: 6022
% 12.81/13.17 Inuse: 221
% 12.81/13.17 Deleted: 2
% 12.81/13.17 Deletedinuse: 0
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 35881
% 12.81/13.17 Kept: 8050
% 12.81/13.17 Inuse: 276
% 12.81/13.17 Deleted: 2
% 12.81/13.17 Deletedinuse: 0
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 48637
% 12.81/13.17 Kept: 10050
% 12.81/13.17 Inuse: 350
% 12.81/13.17 Deleted: 2
% 12.81/13.17 Deletedinuse: 0
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 65385
% 12.81/13.17 Kept: 12051
% 12.81/13.17 Inuse: 446
% 12.81/13.17 Deleted: 3
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 79535
% 12.81/13.17 Kept: 14139
% 12.81/13.17 Inuse: 516
% 12.81/13.17 Deleted: 3
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 91598
% 12.81/13.17 Kept: 16165
% 12.81/13.17 Inuse: 577
% 12.81/13.17 Deleted: 3
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 100810
% 12.81/13.17 Kept: 18193
% 12.81/13.17 Inuse: 616
% 12.81/13.17 Deleted: 3
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying clauses:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 125907
% 12.81/13.17 Kept: 20211
% 12.81/13.17 Inuse: 673
% 12.81/13.17 Deleted: 37
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 143268
% 12.81/13.17 Kept: 22214
% 12.81/13.17 Inuse: 752
% 12.81/13.17 Deleted: 38
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 160680
% 12.81/13.17 Kept: 24694
% 12.81/13.17 Inuse: 811
% 12.81/13.17 Deleted: 38
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 195940
% 12.81/13.17 Kept: 26698
% 12.81/13.17 Inuse: 896
% 12.81/13.17 Deleted: 38
% 12.81/13.17 Deletedinuse: 1
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 231791
% 12.81/13.17 Kept: 29645
% 12.81/13.17 Inuse: 925
% 12.81/13.17 Deleted: 47
% 12.81/13.17 Deletedinuse: 10
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 258107
% 12.81/13.17 Kept: 31988
% 12.81/13.17 Inuse: 945
% 12.81/13.17 Deleted: 47
% 12.81/13.17 Deletedinuse: 10
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 279823
% 12.81/13.17 Kept: 34203
% 12.81/13.17 Inuse: 1004
% 12.81/13.17 Deleted: 47
% 12.81/13.17 Deletedinuse: 10
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 318162
% 12.81/13.17 Kept: 36544
% 12.81/13.17 Inuse: 1120
% 12.81/13.17 Deleted: 49
% 12.81/13.17 Deletedinuse: 10
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 328656
% 12.81/13.17 Kept: 38592
% 12.81/13.17 Inuse: 1139
% 12.81/13.17 Deleted: 49
% 12.81/13.17 Deletedinuse: 10
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying clauses:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 353567
% 12.81/13.17 Kept: 40616
% 12.81/13.17 Inuse: 1205
% 12.81/13.17 Deleted: 170
% 12.81/13.17 Deletedinuse: 10
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 396082
% 12.81/13.17 Kept: 42623
% 12.81/13.17 Inuse: 1309
% 12.81/13.17 Deleted: 171
% 12.81/13.17 Deletedinuse: 11
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 408042
% 12.81/13.17 Kept: 44626
% 12.81/13.17 Inuse: 1329
% 12.81/13.17 Deleted: 171
% 12.81/13.17 Deletedinuse: 11
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 440298
% 12.81/13.17 Kept: 46636
% 12.81/13.17 Inuse: 1407
% 12.81/13.17 Deleted: 171
% 12.81/13.17 Deletedinuse: 11
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 512407
% 12.81/13.17 Kept: 48639
% 12.81/13.17 Inuse: 1495
% 12.81/13.17 Deleted: 171
% 12.81/13.17 Deletedinuse: 11
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Intermediate Status:
% 12.81/13.17 Generated: 605382
% 12.81/13.17 Kept: 50671
% 12.81/13.17 Inuse: 1659
% 12.81/13.17 Deleted: 182
% 12.81/13.17 Deletedinuse: 14
% 12.81/13.17
% 12.81/13.17 Resimplifying inuse:
% 12.81/13.17 Done
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 Bliksems!, er is een bewijs:
% 12.81/13.17 % SZS status Unsatisfiable
% 12.81/13.17 % SZS output start Refutation
% 12.81/13.17
% 12.81/13.17 clause( 34, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) )
% 12.81/13.17 , =( X, Y ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 46, [ =( 'v_i____', 'v_n____' ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 51, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 53, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 12.81/13.17 'v_T____', 'tc_Type_Otype' ), 'v_b____', 'v_Ua____' ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 54, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____', X, Y ) ),
% 12.81/13.17 ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ),
% 12.81/13.17 ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' )
% 12.81/13.17 , 'v_b____', T ) ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 55, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 56, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____',
% 12.81/13.17 'v_u____', 'v_n____' ) ) ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 1954, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____', X,
% 12.81/13.17 'v_n____' ) ) ), ~( =( 'c_Lambda_OdB_OAbs'( 'v_u____' ),
% 12.81/13.17 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 1971, [ 'c_InductTermi_OIT'( X ), ~( =( 'c_Lambda_OdB_OAbs'(
% 12.81/13.17 'v_u____' ), 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 4300, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____', X,
% 12.81/13.17 'v_n____' ) ), ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ), ~(
% 12.81/13.17 'c_InductTermi_OIT'( X ) ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 51737, [ ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ), ~( =(
% 12.81/13.17 'c_Lambda_OdB_OAbs'( 'v_u____' ), 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 12.81/13.17 .
% 12.81/13.17 clause( 51769, [] )
% 12.81/13.17 .
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 % SZS output end Refutation
% 12.81/13.17 found a proof!
% 12.81/13.17
% 12.81/13.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 12.81/13.17
% 12.81/13.17 initialclauses(
% 12.81/13.17 [ clause( 51771, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 12.81/13.17 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 12.81/13.17 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 12.81/13.17 , clause( 51772, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 12.81/13.17 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 12.81/13.17 , clause( 51773, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 12.81/13.17 , clause( 51774, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51775, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 12.81/13.17 , clause( 51776, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 12.81/13.17 Y, X ) ) ] )
% 12.81/13.17 , clause( 51777, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 12.81/13.17 Y, X ) ) ] )
% 12.81/13.17 , clause( 51778, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 12.81/13.17 Y, X ) ) ] )
% 12.81/13.17 , clause( 51779, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 12.81/13.17 Y, X ) ) ] )
% 12.81/13.17 , clause( 51780, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 12.81/13.17 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51781, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 12.81/13.17 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 12.81/13.17 ] )
% 12.81/13.17 , clause( 51782, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 12.81/13.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 12.81/13.17 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 12.81/13.17 , clause( 51783, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 12.81/13.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 12.81/13.17 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51784, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 12.81/13.17 ) ] )
% 12.81/13.17 , clause( 51785, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 12.81/13.17 , clause( 51786, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 12.81/13.17 ), =( Z, Y ) ] )
% 12.81/13.17 , clause( 51787, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 12.81/13.17 , clause( 51788, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 12.81/13.17 , clause( 51789, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 12.81/13.17 ) ] )
% 12.81/13.17 , clause( 51790, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 12.81/13.17 ), =( Z, Y ) ] )
% 12.81/13.17 , clause( 51791, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 12.81/13.17 , clause( 51792, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 12.81/13.17 , clause( 51793, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 12.81/13.17 , clause( 51794, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51795, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51796, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 12.81/13.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 12.81/13.17 , clause( 51797, [ ~( 'class_Orderings_Oorder'( X ) ),
% 12.81/13.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 12.81/13.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 12.81/13.17 , clause( 51798, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 12.81/13.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51799, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 12.81/13.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 12.81/13.17 , clause( 51800, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'(
% 12.81/13.17 Z ) ) ) ] )
% 12.81/13.17 , clause( 51801, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 12.81/13.17 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 12.81/13.17 , clause( 51802, [ =( X, 'c_Lambda_OdB_OAbs'(
% 12.81/13.17 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~(
% 12.81/13.17 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ] )
% 12.81/13.17 , clause( 51803, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 12.81/13.17 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 12.81/13.17 , clause( 51804, [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ),
% 12.81/13.17 'c_Lambda_Olift'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 12.81/13.17 , clause( 51805, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 12.81/13.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 12.81/13.17 ) ) ] )
% 12.81/13.17 , clause( 51806, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 12.81/13.17 'c_Lambda_OdB_OApp'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 12.81/13.17 , clause( 51807, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 12.81/13.17 'c_Lambda_OdB_OApp'( X, Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ] )
% 12.81/13.17 , clause( 51808, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 12.81/13.17 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 12.81/13.17 , clause( 51809, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 12.81/13.17 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 12.81/13.17 'tc_nat' ) ] )
% 12.81/13.17 , clause( 51810, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 12.81/13.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 12.81/13.17 ) ] )
% 12.81/13.17 , clause( 51811, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 12.81/13.17 ) ) ] )
% 12.81/13.17 , clause( 51812, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 12.81/13.17 ) ), =( X, Y ) ] )
% 12.81/13.17 , clause( 51813, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y,
% 12.81/13.17 Z ) ) ) ] )
% 12.81/13.17 , clause( 51814, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'(
% 12.81/13.17 'c_Lambda_OdB_OAbs'( X ), Y ), 'c_Lambda_Osubst'( X, Y,
% 12.81/13.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 12.81/13.17 , clause( 51815, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 12.81/13.17 Z, T ) ) ), =( Y, T ) ] )
% 12.81/13.17 , clause( 51816, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 12.81/13.17 Z, T ) ) ), =( X, Z ) ] )
% 12.81/13.17 , clause( 51817, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ]
% 12.81/13.17 )
% 12.81/13.17 , clause( 51818, [ 'c_Lambda_Obeta'( X,
% 12.81/13.17 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ), ~(
% 12.81/13.17 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ] )
% 12.81/13.17 , clause( 51819, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 12.81/13.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 12.81/13.17 ) ) ] )
% 12.81/13.17 , clause( 51820, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y,
% 12.81/13.17 Z ) ) ) ] )
% 12.81/13.17 , clause( 51821, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y )
% 12.81/13.17 ) ), =( X, Y ) ] )
% 12.81/13.17 , clause( 51822, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'(
% 12.81/13.17 Z ) ) ) ] )
% 12.81/13.17 , clause( 51823, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y )
% 12.81/13.17 ) ) ] )
% 12.81/13.17 , clause( 51824, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T
% 12.81/13.17 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'(
% 12.81/13.17 Y, Z, T ) ) ) ] )
% 12.81/13.17 , clause( 51825, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 12.81/13.17 Y ) ] )
% 12.81/13.17 , clause( 51826, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 12.81/13.17 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 12.81/13.17 , clause( 51827, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 12.81/13.17 'c_InductTermi_OIT'( X ) ) ] )
% 12.81/13.17 , clause( 51828, [ =( 'v_n____', 'v_i____' ) ] )
% 12.81/13.17 , clause( 51829, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 12.81/13.17 , clause( 51830, [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ),
% 12.81/13.17 'c_Lambda_Osubst'( T, Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ] )
% 12.81/13.17 , clause( 51831, [ 'c_InductTermi_OIT'( 'v_ua______' ) ] )
% 12.81/13.17 , clause( 51832, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 12.81/13.17 'c_InductTermi_OIT'( X ) ) ] )
% 12.81/13.17 , clause( 51833, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 12.81/13.17 , clause( 51834, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 12.81/13.17 X ) ] )
% 12.81/13.17 , clause( 51835, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 12.81/13.17 , 'v_T____', 'tc_Type_Otype' ), 'v_b____', 'v_Ua____' ) ] )
% 12.81/13.17 , clause( 51836, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____', X, Y
% 12.81/13.17 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X
% 12.81/13.17 ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____',
% 12.81/13.17 'tc_Type_Otype' ), 'v_b____', T ) ) ] )
% 12.81/13.17 , clause( 51837, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 12.81/13.17 , clause( 51838, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 12.81/13.17 , clause( 51839, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_b____',
% 12.81/13.17 'v_u____', 'v_i____' ) ) ) ] )
% 12.81/13.17 , clause( 51840, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 12.81/13.17 )
% 12.81/13.17 , clause( 51841, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 12.81/13.17 , clause( 51842, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 12.81/13.17 , clause( 51843, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 12.81/13.17 , clause( 51844, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 12.81/13.17 , clause( 51845, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 12.81/13.17 ] ).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 subsumption(
% 12.81/13.17 clause( 34, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) )
% 12.81/13.17 , =( X, Y ) ] )
% 12.81/13.17 , clause( 51812, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 12.81/13.17 ) ), =( X, Y ) ] )
% 12.81/13.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 12.81/13.17 ), ==>( 1, 1 )] ) ).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 eqswap(
% 12.81/13.17 clause( 51908, [ =( 'v_i____', 'v_n____' ) ] )
% 12.81/13.17 , clause( 51828, [ =( 'v_n____', 'v_i____' ) ] )
% 12.81/13.17 , 0, substitution( 0, [] )).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 subsumption(
% 12.81/13.17 clause( 46, [ =( 'v_i____', 'v_n____' ) ] )
% 12.81/13.17 , clause( 51908, [ =( 'v_i____', 'v_n____' ) ] )
% 12.81/13.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 subsumption(
% 12.81/13.17 clause( 51, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 12.81/13.17 , clause( 51833, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 12.81/13.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 paramod(
% 12.81/13.17 clause( 52051, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 12.81/13.17 'v_T____', 'tc_Type_Otype' ), 'v_b____', 'v_Ua____' ) ] )
% 12.81/13.17 , clause( 46, [ =( 'v_i____', 'v_n____' ) ] )
% 12.81/13.17 , 0, clause( 51835, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 12.81/13.17 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'v_b____', 'v_Ua____' ) ] )
% 12.81/13.17 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 12.81/13.17
% 12.81/13.17
% 12.81/13.17 subsumptionCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------