TSTP Solution File: LCL798-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL798-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 07:58:07 EDT 2022
% Result : Unsatisfiable 26.44s 26.84s
% Output : Refutation 26.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL798-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jul 4 05:07:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.79/1.17 *** allocated 10000 integers for termspace/termends
% 0.79/1.17 *** allocated 10000 integers for clauses
% 0.79/1.17 *** allocated 10000 integers for justifications
% 0.79/1.17 Bliksem 1.12
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Automatic Strategy Selection
% 0.79/1.17
% 0.79/1.17 Clauses:
% 0.79/1.17 [
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.79/1.17 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.17 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.17 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.79/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.17 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.79/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.79/1.17 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.79/1.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.17 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.79/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.79/1.17 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.17 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.17 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.79/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.17 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.79/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.17 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.79/1.17 ), =( Z, Y ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.17 , Y, X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.17 , Y, X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.79/1.17 , X ) ) ],
% 0.79/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.79/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.79/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.79/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.79/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.79/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.79/1.17 ), 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.79/1.17 ), 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.79/1.17 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.79/1.17 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.79/1.17 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.79/1.17 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.79/1.17 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.79/1.17 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.79/1.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.79/1.17 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.79/1.17 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.79/1.17 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.79/1.17 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.79/1.17 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.79/1.17 'tc_nat' ) ],
% 0.79/1.17 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.79/1.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.79/1.17 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.79/1.17 =( Y, T ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.79/1.17 =( X, Z ) ],
% 0.79/1.17 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.79/1.17 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.79/1.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.79/1.17 ) ), =( X, T ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.79/1.17 ) ), =( Y, U ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.79/1.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.79/1.17 Z, T ) ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.79/1.17 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.79/1.17 'c_InductTermi_OIT'( X ) ) ],
% 0.79/1.17 [ =( 'v_n____', 'v_i____' ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.79/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.79/1.17 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'v_ua______' ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.79/1.17 'c_InductTermi_OIT'( X ) ) ],
% 0.79/1.17 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.79/1.17 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 5.47/5.85 'tc_Lambda_OdB' ) ) ],
% 5.47/5.85 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y ) ), ~(
% 5.47/5.85 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ), ~(
% 5.47/5.85 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ),
% 5.47/5.85 'v_a____', T ) ) ],
% 5.47/5.85 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 5.47/5.85 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 5.47/5.85 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 5.47/5.85 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 5.47/5.85 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', 'v_u____',
% 5.47/5.85 'v_i____' ) ) ) ],
% 5.47/5.85 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 5.47/5.85 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 5.47/5.85 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 5.47/5.85 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 5.47/5.85 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 5.47/5.85 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 5.47/5.85 ] .
% 5.47/5.85
% 5.47/5.85
% 5.47/5.85 percentage equality = 0.293233, percentage horn = 0.916667
% 5.47/5.85 This is a problem with some equality
% 5.47/5.85
% 5.47/5.85
% 5.47/5.85
% 5.47/5.85 Options Used:
% 5.47/5.85
% 5.47/5.85 useres = 1
% 5.47/5.85 useparamod = 1
% 5.47/5.85 useeqrefl = 1
% 5.47/5.85 useeqfact = 1
% 5.47/5.85 usefactor = 1
% 5.47/5.85 usesimpsplitting = 0
% 5.47/5.85 usesimpdemod = 5
% 5.47/5.85 usesimpres = 3
% 5.47/5.85
% 5.47/5.85 resimpinuse = 1000
% 5.47/5.85 resimpclauses = 20000
% 5.47/5.85 substype = eqrewr
% 5.47/5.85 backwardsubs = 1
% 5.47/5.85 selectoldest = 5
% 5.47/5.85
% 5.47/5.85 litorderings [0] = split
% 5.47/5.85 litorderings [1] = extend the termordering, first sorting on arguments
% 5.47/5.85
% 5.47/5.85 termordering = kbo
% 5.47/5.85
% 5.47/5.85 litapriori = 0
% 5.47/5.85 termapriori = 1
% 5.47/5.85 litaposteriori = 0
% 5.47/5.85 termaposteriori = 0
% 5.47/5.85 demodaposteriori = 0
% 5.47/5.85 ordereqreflfact = 0
% 5.47/5.85
% 5.47/5.85 litselect = negord
% 5.47/5.85
% 5.47/5.85 maxweight = 15
% 5.47/5.85 maxdepth = 30000
% 5.47/5.85 maxlength = 115
% 5.47/5.85 maxnrvars = 195
% 5.47/5.85 excuselevel = 1
% 5.47/5.85 increasemaxweight = 1
% 5.47/5.85
% 5.47/5.85 maxselected = 10000000
% 5.47/5.85 maxnrclauses = 10000000
% 5.47/5.85
% 5.47/5.85 showgenerated = 0
% 5.47/5.85 showkept = 0
% 5.47/5.85 showselected = 0
% 5.47/5.85 showdeleted = 0
% 5.47/5.85 showresimp = 1
% 5.47/5.85 showstatus = 2000
% 5.47/5.85
% 5.47/5.85 prologoutput = 1
% 5.47/5.85 nrgoals = 5000000
% 5.47/5.85 totalproof = 1
% 5.47/5.85
% 5.47/5.85 Symbols occurring in the translation:
% 5.47/5.85
% 5.47/5.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.47/5.85 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 5.47/5.85 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 5.47/5.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.47/5.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.47/5.85 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:56, a:1
% 5.47/5.85 , s:1, b:0),
% 5.47/5.85 'c_Nat_Osemiring__1__class_Oof__nat' [42, 2] (w:1, o:92, a:1, s:1, b:
% 5.47/5.85 0),
% 5.47/5.85 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:57, a:1, s:1, b:0),
% 5.47/5.85 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:97, a:1, s:1, b:0),
% 5.47/5.85 'class_Ring__and__Field_Osemiring__1' [45, 1] (w:1, o:58, a:1, s:1
% 5.47/5.85 , b:0),
% 5.47/5.85 'tc_nat' [46, 0] (w:1, o:13, a:1, s:1, b:0),
% 5.47/5.85 'class_Nat_Osemiring__char__0' [47, 1] (w:1, o:59, a:1, s:1, b:0),
% 5.47/5.85 'class_Orderings_Opreorder' [49, 1] (w:1, o:61, a:1, s:1, b:0),
% 5.47/5.85 'class_Orderings_Olinorder' [54, 1] (w:1, o:62, a:1, s:1, b:0),
% 5.47/5.85 'class_Orderings_Oorder' [55, 1] (w:1, o:60, a:1, s:1, b:0),
% 5.47/5.85 'class_Ring__and__Field_Oordered__idom' [56, 1] (w:1, o:63, a:1, s:1
% 5.47/5.85 , b:0),
% 5.47/5.85 'c_Lambda_OdB_OApp' [60, 2] (w:1, o:93, a:1, s:1, b:0),
% 5.47/5.85 'c_Lambda_OdB_OVar' [62, 1] (w:1, o:64, a:1, s:1, b:0),
% 5.47/5.85 'c_Lambda_OdB_OAbs' [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 5.47/5.85 'c_Lambda_Obeta' [66, 2] (w:1, o:94, a:1, s:1, b:0),
% 5.47/5.85 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [68, 2] (w:1, o:95, a:1
% 5.47/5.85 , s:1, b:0),
% 5.47/5.85 'c_InductTermi_OIT' [70, 1] (w:1, o:66, a:1, s:1, b:0),
% 5.47/5.85 'c_List_Olist_OCons' [72, 3] (w:1, o:98, a:1, s:1, b:0),
% 5.47/5.85 'c_Lambda_Olift' [73, 2] (w:1, o:96, a:1, s:1, b:0),
% 5.47/5.85 'c_Lambda_Osubst' [76, 3] (w:1, o:99, a:1, s:1, b:0),
% 5.47/5.85 'v_n____' [86, 0] (w:1, o:37, a:1, s:1, b:0),
% 5.47/5.85 'v_i____' [87, 0] (w:1, o:38, a:1, s:1, b:0),
% 5.47/5.85 'v_ua______' [88, 0] (w:1, o:39, a:1, s:1, b:0),
% 5.47/5.85 'v_u____' [89, 0] (w:1, o:40, a:1, s:1, b:0),
% 5.47/5.85 'v_rs____' [90, 0] (w:1, o:41, a:1, s:1, b:0),
% 5.47/5.85 'v_a____' [91, 0] (w:1, o:42, a:1, s:1, b:0),
% 5.47/5.85 'v_as____' [92, 0] (w:1, o:43, a:1, s:1, b:0),
% 5.47/5.85 'tc_Lambda_OdB' [93, 0] (w:1, o:44, a:1, s:1, b:0),
% 26.44/26.84 'v_T____' [95, 0] (w:1, o:46, a:1, s:1, b:0),
% 26.44/26.84 'c_Type_Otyping' [96, 3] (w:1, o:100, a:1, s:1, b:0),
% 26.44/26.84 'tc_Type_Otype' [97, 0] (w:1, o:47, a:1, s:1, b:0),
% 26.44/26.84 'c_Type_Oshift' [98, 4] (w:1, o:101, a:1, s:1, b:0),
% 26.44/26.84 'v_e____' [100, 0] (w:1, o:49, a:1, s:1, b:0),
% 26.44/26.84 'v_T_H_H____' [101, 0] (w:1, o:50, a:1, s:1, b:0).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Starting Search:
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 6961
% 26.44/26.84 Kept: 2003
% 26.44/26.84 Inuse: 126
% 26.44/26.84 Deleted: 1
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 16292
% 26.44/26.84 Kept: 4384
% 26.44/26.84 Inuse: 161
% 26.44/26.84 Deleted: 1
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 28752
% 26.44/26.84 Kept: 6401
% 26.44/26.84 Inuse: 218
% 26.44/26.84 Deleted: 2
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 39791
% 26.44/26.84 Kept: 8495
% 26.44/26.84 Inuse: 277
% 26.44/26.84 Deleted: 2
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 51231
% 26.44/26.84 Kept: 10516
% 26.44/26.84 Inuse: 335
% 26.44/26.84 Deleted: 2
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 60700
% 26.44/26.84 Kept: 12526
% 26.44/26.84 Inuse: 380
% 26.44/26.84 Deleted: 2
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 67683
% 26.44/26.84 Kept: 14543
% 26.44/26.84 Inuse: 410
% 26.44/26.84 Deleted: 2
% 26.44/26.84 Deletedinuse: 0
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 74317
% 26.44/26.84 Kept: 17146
% 26.44/26.84 Inuse: 426
% 26.44/26.84 Deleted: 3
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 91574
% 26.44/26.84 Kept: 19171
% 26.44/26.84 Inuse: 506
% 26.44/26.84 Deleted: 3
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying clauses:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 103991
% 26.44/26.84 Kept: 21208
% 26.44/26.84 Inuse: 567
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 121848
% 26.44/26.84 Kept: 23218
% 26.44/26.84 Inuse: 628
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 141132
% 26.44/26.84 Kept: 25351
% 26.44/26.84 Inuse: 671
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 149275
% 26.44/26.84 Kept: 27379
% 26.44/26.84 Inuse: 696
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 162062
% 26.44/26.84 Kept: 29409
% 26.44/26.84 Inuse: 742
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 170171
% 26.44/26.84 Kept: 31425
% 26.44/26.84 Inuse: 764
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 182765
% 26.44/26.84 Kept: 33446
% 26.44/26.84 Inuse: 807
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 196450
% 26.44/26.84 Kept: 35482
% 26.44/26.84 Inuse: 846
% 26.44/26.84 Deleted: 77
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 243852
% 26.44/26.84 Kept: 37487
% 26.44/26.84 Inuse: 944
% 26.44/26.84 Deleted: 78
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 255313
% 26.44/26.84 Kept: 39770
% 26.44/26.84 Inuse: 982
% 26.44/26.84 Deleted: 78
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying clauses:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 273868
% 26.44/26.84 Kept: 41790
% 26.44/26.84 Inuse: 1046
% 26.44/26.84 Deleted: 168
% 26.44/26.84 Deletedinuse: 1
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 294407
% 26.44/26.84 Kept: 43790
% 26.44/26.84 Inuse: 1090
% 26.44/26.84 Deleted: 179
% 26.44/26.84 Deletedinuse: 10
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 319606
% 26.44/26.84 Kept: 46062
% 26.44/26.84 Inuse: 1173
% 26.44/26.84 Deleted: 179
% 26.44/26.84 Deletedinuse: 10
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 354196
% 26.44/26.84 Kept: 49444
% 26.44/26.84 Inuse: 1197
% 26.44/26.84 Deleted: 179
% 26.44/26.84 Deletedinuse: 10
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 394900
% 26.44/26.84 Kept: 52633
% 26.44/26.84 Inuse: 1218
% 26.44/26.84 Deleted: 179
% 26.44/26.84 Deletedinuse: 10
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 435680
% 26.44/26.84 Kept: 54633
% 26.44/26.84 Inuse: 1323
% 26.44/26.84 Deleted: 181
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 466113
% 26.44/26.84 Kept: 56638
% 26.44/26.84 Inuse: 1393
% 26.44/26.84 Deleted: 181
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 536644
% 26.44/26.84 Kept: 58640
% 26.44/26.84 Inuse: 1493
% 26.44/26.84 Deleted: 181
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying clauses:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 595503
% 26.44/26.84 Kept: 60762
% 26.44/26.84 Inuse: 1576
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 614891
% 26.44/26.84 Kept: 62805
% 26.44/26.84 Inuse: 1613
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 672476
% 26.44/26.84 Kept: 64833
% 26.44/26.84 Inuse: 1697
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 718719
% 26.44/26.84 Kept: 66976
% 26.44/26.84 Inuse: 1802
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 730820
% 26.44/26.84 Kept: 69033
% 26.44/26.84 Inuse: 1813
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 788833
% 26.44/26.84 Kept: 71038
% 26.44/26.84 Inuse: 1926
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 910107
% 26.44/26.84 Kept: 73039
% 26.44/26.84 Inuse: 2023
% 26.44/26.84 Deleted: 385
% 26.44/26.84 Deletedinuse: 11
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Intermediate Status:
% 26.44/26.84 Generated: 1026201
% 26.44/26.84 Kept: 75052
% 26.44/26.84 Inuse: 2175
% 26.44/26.84 Deleted: 396
% 26.44/26.84 Deletedinuse: 14
% 26.44/26.84
% 26.44/26.84 Resimplifying inuse:
% 26.44/26.84 Done
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 Bliksems!, er is een bewijs:
% 26.44/26.84 % SZS status Unsatisfiable
% 26.44/26.84 % SZS output start Refutation
% 26.44/26.84
% 26.44/26.84 clause( 35, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) )
% 26.44/26.84 , =( X, Y ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 49, [ =( 'v_i____', 'v_n____' ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 54, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 57, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y ) ),
% 26.44/26.84 ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ),
% 26.44/26.84 ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' )
% 26.44/26.84 , 'v_a____', T ) ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 58, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 59, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 26.44/26.84 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 60, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____',
% 26.44/26.84 'v_u____', 'v_n____' ) ) ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 1960, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X,
% 26.44/26.84 'v_n____' ) ) ), ~( =( 'c_Lambda_OdB_OAbs'( 'v_u____' ),
% 26.44/26.84 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 1977, [ 'c_InductTermi_OIT'( X ), ~( =( 'c_Lambda_OdB_OAbs'(
% 26.44/26.84 'v_u____' ), 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 5091, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X,
% 26.44/26.84 'v_n____' ) ), ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ), ~(
% 26.44/26.84 'c_InductTermi_OIT'( X ) ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 76401, [ ~( 'c_Type_Otyping'( 'v_e____', X, 'v_T____' ) ), ~( =(
% 26.44/26.84 'c_Lambda_OdB_OAbs'( 'v_u____' ), 'c_Lambda_OdB_OAbs'( X ) ) ) ] )
% 26.44/26.84 .
% 26.44/26.84 clause( 76433, [] )
% 26.44/26.84 .
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 % SZS output end Refutation
% 26.44/26.84 found a proof!
% 26.44/26.84
% 26.44/26.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 26.44/26.84
% 26.44/26.84 initialclauses(
% 26.44/26.84 [ clause( 76435, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 26.44/26.84 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 26.44/26.84 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 26.44/26.84 , clause( 76436, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 26.44/26.84 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 26.44/26.84 , clause( 76437, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 26.44/26.84 , clause( 76438, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76439, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 26.44/26.84 , clause( 76440, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 26.44/26.84 Y, X ) ) ] )
% 26.44/26.84 , clause( 76441, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 26.44/26.84 Y, X ) ) ] )
% 26.44/26.84 , clause( 76442, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 26.44/26.84 Y, X ) ) ] )
% 26.44/26.84 , clause( 76443, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 26.44/26.84 Y, X ) ) ] )
% 26.44/26.84 , clause( 76444, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 26.44/26.84 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76445, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 26.44/26.84 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 26.44/26.84 ] )
% 26.44/26.84 , clause( 76446, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 26.44/26.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 26.44/26.84 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 26.44/26.84 , clause( 76447, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 26.44/26.84 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 26.44/26.84 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76448, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 26.44/26.84 ) ] )
% 26.44/26.84 , clause( 76449, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 26.44/26.84 , clause( 76450, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 26.44/26.84 ), =( Z, Y ) ] )
% 26.44/26.84 , clause( 76451, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 26.44/26.84 , clause( 76452, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 26.44/26.84 , clause( 76453, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 26.44/26.84 ) ] )
% 26.44/26.84 , clause( 76454, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 26.44/26.84 ), =( Z, Y ) ] )
% 26.44/26.84 , clause( 76455, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 26.44/26.84 , clause( 76456, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 26.44/26.84 , clause( 76457, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 26.44/26.84 , clause( 76458, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76459, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76460, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 26.44/26.84 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 26.44/26.84 , clause( 76461, [ ~( 'class_Orderings_Oorder'( X ) ),
% 26.44/26.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 26.44/26.84 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 26.44/26.84 , clause( 76462, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 26.44/26.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76463, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 26.44/26.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 26.44/26.84 , clause( 76464, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'(
% 26.44/26.84 Z ) ) ) ] )
% 26.44/26.84 , clause( 76465, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 26.44/26.84 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 26.44/26.84 , clause( 76466, [ =( X, 'c_Lambda_OdB_OAbs'(
% 26.44/26.84 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~(
% 26.44/26.84 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ] )
% 26.44/26.84 , clause( 76467, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 26.44/26.84 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 26.44/26.84 , clause( 76468, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 26.44/26.84 , clause( 76469, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 26.44/26.84 , clause( 76470, [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ),
% 26.44/26.84 'c_Lambda_Olift'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 26.44/26.84 , clause( 76471, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 26.44/26.84 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 26.44/26.84 ) ) ] )
% 26.44/26.84 , clause( 76472, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 26.44/26.84 'c_Lambda_OdB_OApp'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 26.44/26.84 , clause( 76473, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 26.44/26.84 'c_Lambda_OdB_OApp'( X, Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ] )
% 26.44/26.84 , clause( 76474, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 26.44/26.84 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 26.44/26.84 , clause( 76475, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 26.44/26.84 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 26.44/26.84 'tc_nat' ) ] )
% 26.44/26.84 , clause( 76476, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 26.44/26.84 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 26.44/26.84 ) ] )
% 26.44/26.84 , clause( 76477, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 26.44/26.84 ) ) ] )
% 26.44/26.84 , clause( 76478, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 26.44/26.84 ) ), =( X, Y ) ] )
% 26.44/26.84 , clause( 76479, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y,
% 26.44/26.84 Z ) ) ) ] )
% 26.44/26.84 , clause( 76480, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'(
% 26.44/26.84 'c_Lambda_OdB_OAbs'( X ), Y ), 'c_Lambda_Osubst'( X, Y,
% 26.44/26.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 26.44/26.84 , clause( 76481, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 26.44/26.84 Z, T ) ) ), =( Y, T ) ] )
% 26.44/26.84 , clause( 76482, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 26.44/26.84 Z, T ) ) ), =( X, Z ) ] )
% 26.44/26.84 , clause( 76483, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ]
% 26.44/26.84 )
% 26.44/26.84 , clause( 76484, [ 'c_Lambda_Obeta'( X,
% 26.44/26.84 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ), ~(
% 26.44/26.84 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ] )
% 26.44/26.84 , clause( 76485, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 26.44/26.84 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 26.44/26.84 ) ) ] )
% 26.44/26.84 , clause( 76486, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 26.44/26.84 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 26.44/26.84 , clause( 76487, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 26.44/26.84 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 26.44/26.84 , clause( 76488, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y,
% 26.44/26.84 Z ) ) ) ] )
% 26.44/26.84 , clause( 76489, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y )
% 26.44/26.84 ) ), =( X, Y ) ] )
% 26.44/26.84 , clause( 76490, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'(
% 26.44/26.84 Z ) ) ) ] )
% 26.44/26.84 , clause( 76491, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y )
% 26.44/26.84 ) ) ] )
% 26.44/26.84 , clause( 76492, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T
% 26.44/26.84 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'(
% 26.44/26.84 Y, Z, T ) ) ) ] )
% 26.44/26.84 , clause( 76493, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 26.44/26.84 Y ) ] )
% 26.44/26.84 , clause( 76494, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 26.44/26.84 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 26.44/26.84 , clause( 76495, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 26.44/26.84 'c_InductTermi_OIT'( X ) ) ] )
% 26.44/26.84 , clause( 76496, [ =( 'v_n____', 'v_i____' ) ] )
% 26.44/26.84 , clause( 76497, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 26.44/26.84 , clause( 76498, [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ),
% 26.44/26.84 'c_Lambda_Osubst'( T, Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ] )
% 26.44/26.84 , clause( 76499, [ 'c_InductTermi_OIT'( 'v_ua______' ) ] )
% 26.44/26.84 , clause( 76500, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 26.44/26.84 'c_InductTermi_OIT'( X ) ) ] )
% 26.44/26.84 , clause( 76501, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 26.44/26.84 , clause( 76502, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 26.44/26.84 X ) ] )
% 26.44/26.84 , clause( 76503, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____',
% 26.44/26.84 'v_as____', 'tc_Lambda_OdB' ) ) ] )
% 26.44/26.84 , clause( 76504, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y
% 26.44/26.84 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X
% 26.44/26.84 ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____',
% 26.44/26.84 'tc_Type_Otype' ), 'v_a____', T ) ) ] )
% 26.44/26.84 , clause( 76505, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 26.44/26.84 , clause( 76506, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 26.44/26.84 , clause( 76507, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 26.44/26.84 , 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 26.44/26.84 , clause( 76508, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____',
% 26.44/26.84 'v_u____', 'v_i____' ) ) ) ] )
% 26.44/26.84 , clause( 76509, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 26.44/26.84 )
% 26.44/26.84 , clause( 76510, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 26.44/26.84 , clause( 76511, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 26.44/26.84 , clause( 76512, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 26.44/26.84 , clause( 76513, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 26.44/26.84 , clause( 76514, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 26.44/26.84 ] ).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 subsumption(
% 26.44/26.84 clause( 35, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) )
% 26.44/26.84 , =( X, Y ) ] )
% 26.44/26.84 , clause( 76478, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 26.44/26.84 ) ), =( X, Y ) ] )
% 26.44/26.84 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 26.44/26.84 ), ==>( 1, 1 )] ) ).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 eqswap(
% 26.44/26.84 clause( 76583, [ =( 'v_i____', 'v_n____' ) ] )
% 26.44/26.84 , clause( 76496, [ =( 'v_n____', 'v_i____' ) ] )
% 26.44/26.84 , 0, substitution( 0, [] )).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 subsumption(
% 26.44/26.84 clause( 49, [ =( 'v_i____', 'v_n____' ) ] )
% 26.44/26.84 , clause( 76583, [ =( 'v_i____', 'v_n____' ) ] )
% 26.44/26.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 subsumption(
% 26.44/26.84 clause( 54, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 26.44/26.84 , clause( 76501, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 26.44/26.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 subsumption(
% 26.44/26.84 clause( 57, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y ) ),
% 26.44/26.84 ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X ) ),
% 26.44/26.84 ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' )
% 26.44/26.84 , 'v_a____', T ) ) ] )
% 26.44/26.84 , clause( 76504, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'v_a____', X, Y
% 26.44/26.84 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( 'c_InductTermi_OIT'( X
% 26.44/26.84 ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y, 'v_T____',
% 26.44/26.84 'tc_Type_Otype' ), 'v_a____', T ) ) ] )
% 26.44/26.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 26.44/26.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 26.44/26.84 ).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 subsumption(
% 26.44/26.84 clause( 58, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 26.44/26.84 , clause( 76505, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 26.44/26.84 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 paramod(
% 26.44/26.84 clause( 76829, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 26.44/26.84 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 26.44/26.84 , clause( 49, [ =( 'v_i____', 'v_n____' ) ] )
% 26.44/26.84 , 0, clause( 76507, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 26.44/26.84 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 26.44/26.84 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 26.44/26.84
% 26.44/26.84
% 26.44/26.84 subsumption(
% 26.44/26.84 clause( 59, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 26.44/26.84 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 26.44/26.84 , clause( 76829, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____'
% 26.44/26.84 , 'v_T____', 'tc_TyCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------