TSTP Solution File: LCL858-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 11:40:52 EDT 2022
% Result : Unsatisfiable 153.19s 153.44s
% Output : CNFRefutation 153.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 207
% Syntax : Number of formulae : 1433 ( 326 unt; 0 def)
% Number of atoms : 2990 ( 753 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 3061 (1504 ~;1557 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 9 con; 0-5 aty)
% Number of variables : 4956 ( 491 sgn2067 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X28,X29,X30] :
( X28 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X30,X29,X28),tc_Lambda_OdB,tc_Lambda_OdB)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X29,tc_Lambda_OdB,tc_Lambda_OdB)),X28)) ),
file('<stdin>',cls_head__Var__reduction_1) ).
fof(c_0_1,axiom,
! [X28,X29,X30] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X29),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X30,X29,X28)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X29,tc_Lambda_OdB,tc_Lambda_OdB)),X28)) ),
file('<stdin>',cls_head__Var__reduction_0) ).
fof(c_0_2,axiom,
! [X34,X19,X4] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X4,X19,c_HOL_Ozero__class_Ozero(tc_nat)),X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X19))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4)),X19),X34,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('<stdin>',cls_double__induction__lemma_0) ).
fof(c_0_3,axiom,
! [X34,X19,X4] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X34,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
file('<stdin>',cls_apps__preserves__beta2_0) ).
fof(c_0_4,axiom,
! [X34,X29,X4] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X29,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X29),X34)) ),
file('<stdin>',cls_apps__preserves__betas_0) ).
fof(c_0_5,axiom,
! [X34,X19,X4] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X34,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
file('<stdin>',cls_apps__preserves__beta_0) ).
fof(c_0_6,axiom,
! [X34,X19,X4] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4)),X19),X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X19))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X4,X19,c_HOL_Ozero__class_Ozero(tc_nat)),X34,tc_Lambda_OdB,tc_Lambda_OdB))) ),
file('<stdin>',cls_Beta_0) ).
fof(c_0_7,axiom,
! [X19,X4,X43,X41,X10,X44,X13,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X4,X19,X5,X13,X44),X10),X43))
| ~ hBOOL(hAPP(hAPP(X19,X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
file('<stdin>',cls_pred__comp_Ointros_0) ).
fof(c_0_8,axiom,
! [X33,X23,X24,X21,X22] :
( X22 = X21
| ~ c_Type_Otyping(X24,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X23),X33,tc_Lambda_OdB,tc_Lambda_OdB),X21)
| ~ c_Type_Otyping(X24,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X23),X33,tc_Lambda_OdB,tc_Lambda_OdB),X22) ),
file('<stdin>',cls_var__app__type__eq_0) ).
fof(c_0_9,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X29,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X29,tc_Lambda_OdB) ),
file('<stdin>',cls_IT_OVar_0) ).
fof(c_0_10,axiom,
! [X19,X4,X44,X13,X5] : c_Predicate_Oconversep(c_Predicate_Opred__comp(X4,X19,X13,X44,X5),X13,X5) = c_Predicate_Opred__comp(c_Predicate_Oconversep(X19,X44,X5),c_Predicate_Oconversep(X4,X13,X44),X5,X44,X13),
file('<stdin>',cls_converse__pred__comp_0) ).
fof(c_0_11,axiom,
! [X34,X29,X30,X35] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X35 = X30 ),
file('<stdin>',cls_Var__apps__eq__Var__apps__conv_0) ).
fof(c_0_12,axiom,
! [X34,X29,X30,X35] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X29 = X34 ),
file('<stdin>',cls_Var__apps__eq__Var__apps__conv_1) ).
fof(c_0_13,axiom,
! [X34,X19,X29,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X4 = X19 ),
file('<stdin>',cls_Abs__apps__eq__Abs__apps__conv_0) ).
fof(c_0_14,axiom,
! [X34,X19,X29,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X29 = X34 ),
file('<stdin>',cls_Abs__apps__eq__Abs__apps__conv_1) ).
fof(c_0_15,axiom,
! [X33,X34,X4,X30] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X34,tc_Lambda_OdB,tc_Lambda_OdB),
file('<stdin>',cls_Var__apps__neq__Abs__apps_0) ).
fof(c_0_16,axiom,
! [X33,X19,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB)
| X4 = X19 ),
file('<stdin>',cls_apps__eq__tail__conv_0) ).
fof(c_0_17,axiom,
! [X33,X14,X19,X4] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) != c_List_Ofoldl(c_Lambda_OdB_OApp,X14,X33,tc_Lambda_OdB,tc_Lambda_OdB)
| X4 = c_List_Ofoldl(c_Lambda_OdB_OApp,X14,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X4,X19,X14,X33),tc_Lambda_OdB,tc_Lambda_OdB)
| X33 = c_List_Olist_ONil(tc_Lambda_OdB) ),
file('<stdin>',cls_App__eq__foldl__conv_2) ).
fof(c_0_18,axiom,
! [X2,X3,X12,X10,X13,X5] : c_List_Ofoldl(X12,X10,c_List_Olist_OCons(X3,X2,X13),X5,X13) = c_List_Ofoldl(X12,hAPP(hAPP(X12,X10),X3),X2,X5,X13),
file('<stdin>',cls_foldl__Cons_0) ).
fof(c_0_19,axiom,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X4,X5),X5,X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6)) ),
file('<stdin>',cls_tranclp__converseD_0) ).
fof(c_0_20,axiom,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X4,X5),X5,X5),X3),X6)) ),
file('<stdin>',cls_tranclp__converseI_0) ).
fof(c_0_21,axiom,
! [X14,X19,X4] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) != c_List_Ofoldl(c_Lambda_OdB_OApp,X14,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
| hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) = X14 ),
file('<stdin>',cls_App__eq__foldl__conv_0) ).
fof(c_0_22,axiom,
! [X14,X34,X19,X30] : hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19)),X14) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X34,tc_Lambda_OdB,tc_Lambda_OdB),
file('<stdin>',cls_Abs__App__neq__Var__apps_0) ).
fof(c_0_23,axiom,
! [X34,X19,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X4)
| X19 = c_Lambda_OdB_OAbs(X4) ),
file('<stdin>',cls_apps__eq__Abs__conv_0) ).
fof(c_0_24,axiom,
! [X34,X19,X35] :
( c_Lambda_OdB_OVar(X35) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X35) = X19 ),
file('<stdin>',cls_Var__eq__apps__conv_0) ).
fof(c_0_25,axiom,
! [X34,X19,X4] :
( c_Lambda_OdB_OAbs(X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X4) = X19 ),
file('<stdin>',cls_Abs__eq__apps__conv_0) ).
fof(c_0_26,axiom,
! [X34,X19,X35] :
( c_Lambda_OdB_OVar(X35) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
file('<stdin>',cls_Var__eq__apps__conv_1) ).
fof(c_0_27,axiom,
! [X34,X19,X4] :
( c_Lambda_OdB_OAbs(X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
file('<stdin>',cls_Abs__eq__apps__conv_1) ).
fof(c_0_28,axiom,
! [X34,X19,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X4)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
file('<stdin>',cls_apps__eq__Abs__conv_1) ).
fof(c_0_29,axiom,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(X39,X3),X6))
| hBOOL(hAPP(hAPP(X32,X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6)) ),
file('<stdin>',cls_sup2E_0) ).
fof(c_0_30,axiom,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X6),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6)) ),
file('<stdin>',cls_rtranclp__converseD_0) ).
fof(c_0_31,axiom,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(X39,X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6)) ),
file('<stdin>',cls_inf2E_1) ).
fof(c_0_32,axiom,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(X32,X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6)) ),
file('<stdin>',cls_inf2E_0) ).
fof(c_0_33,axiom,
! [X1,X6,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X1),X2))
| hBOOL(hAPP(hAPP(X4,X6),X3))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
file('<stdin>',cls_Cons__step1__Cons_1) ).
fof(c_0_34,axiom,
! [X1,X6,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X1),X2))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
file('<stdin>',cls_Cons__step1__Cons_3) ).
fof(c_0_35,axiom,
! [X1,X6,X2,X3,X4,X5] :
( X3 = X6
| hBOOL(hAPP(hAPP(X4,X6),X3))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
file('<stdin>',cls_Cons__step1__Cons_0) ).
fof(c_0_36,axiom,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6))
| ~ hBOOL(hAPP(hAPP(X39,X3),X6))
| ~ hBOOL(hAPP(hAPP(X32,X3),X6)) ),
file('<stdin>',cls_inf2I_0) ).
fof(c_0_37,axiom,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X6),X3)) ),
file('<stdin>',cls_rtranclp__converseI_0) ).
fof(c_0_38,axiom,
! [X19,X4] : hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
file('<stdin>',cls_App__eq__foldl__conv_4) ).
fof(c_0_39,axiom,
! [X1,X6,X2,X3,X4,X5] :
( X3 = X6
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
file('<stdin>',cls_Cons__step1__Cons_2) ).
fof(c_0_40,axiom,
! [X25,X14,X23,X24,X21,X22] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X14,X25,X23)))
| ~ c_Type_Otyping(X24,X25,X21)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X25))
| ~ c_Type_Otyping(c_Type_Oshift(X24,X23,X21,tc_Type_Otype),X14,X22)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
file('<stdin>',cls_subst__type__IT_0) ).
fof(c_0_41,axiom,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6))
| ~ hBOOL(hAPP(hAPP(X32,X3),X6)) ),
file('<stdin>',cls_sup2CI_1) ).
fof(c_0_42,axiom,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6))
| ~ hBOOL(hAPP(hAPP(X39,X3),X6)) ),
file('<stdin>',cls_sup2CI_0) ).
fof(c_0_43,axiom,
! [X35] : c_Lambda_OdB_OVar(X35) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
file('<stdin>',cls_Var__eq__apps__conv_2) ).
fof(c_0_44,axiom,
! [X4] : c_Lambda_OdB_OAbs(X4) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
file('<stdin>',cls_Abs__eq__apps__conv_2) ).
fof(c_0_45,axiom,
! [X4] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X4),
file('<stdin>',cls_apps__eq__Abs__conv_2) ).
fof(c_0_46,axiom,
! [X12,X10,X13,X5] : c_List_Ofoldl(X12,X10,c_List_Olist_ONil(X13),X5,X13) = X10,
file('<stdin>',cls_foldl__Nil_0) ).
fof(c_0_47,axiom,
! [X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X3,X1,X5)),c_List_Olist_OCons(X3,X2,X5)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X1),X2)) ),
file('<stdin>',cls_Cons__step1__Cons_5) ).
fof(c_0_48,axiom,
! [X25,X14,X23,X26,X21,X22] :
( ~ c_Type_Otyping(X26,X25,X21)
| ~ c_Type_Otyping(c_Type_Oshift(X26,X23,X21,tc_Type_Otype),X14,X22)
| c_Type_Otyping(X26,c_Lambda_Osubst(X14,X25,X23),X22) ),
file('<stdin>',cls_subst__lemma_0) ).
fof(c_0_49,axiom,
! [X27,X14,X31,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14)),hAPP(hAPP(c_Lambda_OdB_OApp,X31),X27)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X14),X27))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X19),X31)) ),
file('<stdin>',cls_rtrancl__beta__App_0) ).
fof(c_0_50,axiom,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X4,X14,X23)),c_Lambda_Osubst(X19,X14,X23)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
file('<stdin>',cls_subst__preserves__beta_H_0) ).
fof(c_0_51,axiom,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X14,X4,X23)),c_Lambda_Osubst(X14,X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
file('<stdin>',cls_subst__preserves__beta2_H_0) ).
fof(c_0_52,axiom,
! [X6,X11,X3,X4,X5] :
( ~ hBOOL(hAPP(hAPP(X4,X6),X11))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X3,X5)),c_List_Olist_OCons(X11,X3,X5))) ),
file('<stdin>',cls_Cons__step1__Cons_4) ).
fof(c_0_53,axiom,
! [X14,X20,X21,X22] :
( c_Type_Otyping(X20,c_Lambda_OdB_OAbs(X14),c_Type_Otype_OFun(X22,X21))
| ~ c_Type_Otyping(c_Type_Oshift(X20,c_HOL_Ozero__class_Ozero(tc_nat),X22,tc_Type_Otype),X14,X21) ),
file('<stdin>',cls_Abs_0) ).
fof(c_0_54,axiom,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X14,X4,X23)),c_Lambda_Osubst(X14,X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
file('<stdin>',cls_subst__preserves__beta2_0) ).
fof(c_0_55,axiom,
! [X2,X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),c_List_Olist_OCons(X3,X2,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3)) ),
file('<stdin>',cls_Cons__acc__step1I_0) ).
fof(c_0_56,axiom,
! [X4,X41,X10,X13,X5] :
( hBOOL(hAPP(hAPP(X4,X41),X10))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X10),X41)) ),
file('<stdin>',cls_conversepD_0) ).
fof(c_0_57,axiom,
! [X4,X54,X55,X13,X5] :
( hBOOL(hAPP(hAPP(X4,X54),X55))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X55),X54)) ),
file('<stdin>',cls_conversep_Ocases_0) ).
fof(c_0_58,axiom,
! [X14,X31,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14)),hAPP(hAPP(c_Lambda_OdB_OApp,X31),X14)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X19),X31)) ),
file('<stdin>',cls_rtrancl__beta__AppL_0) ).
fof(c_0_59,axiom,
! [X27,X14,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14)),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X27)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X14),X27)) ),
file('<stdin>',cls_rtrancl__beta__AppR_0) ).
fof(c_0_60,axiom,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X4,X14,X23)),c_Lambda_Osubst(X19,X14,X23)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
file('<stdin>',cls_subst__preserves__beta_0) ).
fof(c_0_61,axiom,
! [X42,X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X3),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X6),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X3),X6)) ),
file('<stdin>',cls_tranclp__trans_0) ).
fof(c_0_62,axiom,
! [X42,X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X6),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X6)) ),
file('<stdin>',cls_rtranclp__trans_0) ).
fof(c_0_63,axiom,
! [X42,X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X3),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X6),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X6)) ),
file('<stdin>',cls_rtranclp__tranclp__tranclp_0) ).
fof(c_0_64,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41)) ),
file('<stdin>',cls_tranclp__rtranclp__tranclp_0) ).
fof(c_0_65,axiom,
! [X4] :
( hBOOL(hAPP(c_InductTermi_OIT,X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X4)) ),
file('<stdin>',cls_termi__implies__IT_0) ).
fof(c_0_66,axiom,
! [X14,X19] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19)),X14)),c_Lambda_Osubst(X19,X14,c_HOL_Ozero__class_Ozero(tc_nat)))),
file('<stdin>',cls_beta_0) ).
fof(c_0_67,axiom,
! [X14,X23,X24,X21,X22] :
( c_Type_Otyping(c_Type_Oshift(X24,X23,X21,tc_Type_Otype),c_Lambda_Olift(X14,X23),X22)
| ~ c_Type_Otyping(X24,X14,X22) ),
file('<stdin>',cls_lift__type_0) ).
fof(c_0_68,axiom,
! [X6,X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__induct__rule_1) ).
fof(c_0_69,axiom,
! [X6,X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__induct_1) ).
fof(c_0_70,axiom,
! [X19,X4,X13,X5] : c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X4,X19,tc_fun(X13,tc_fun(X5,tc_bool))),X13,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X4,X13,X5),c_Predicate_Oconversep(X19,X13,X5),tc_fun(X5,tc_fun(X13,tc_bool))),
file('<stdin>',cls_converse__meet_0) ).
fof(c_0_71,axiom,
! [X19,X4,X13,X5] : c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X4,X19,tc_fun(X13,tc_fun(X5,tc_bool))),X13,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X4,X13,X5),c_Predicate_Oconversep(X19,X13,X5),tc_fun(X5,tc_fun(X13,tc_bool))),
file('<stdin>',cls_converse__join_0) ).
fof(c_0_72,axiom,
! [X4,X41,X10,X13,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X10),X41))
| ~ hBOOL(hAPP(hAPP(X4,X41),X10)) ),
file('<stdin>',cls_conversep__iff_1) ).
fof(c_0_73,axiom,
! [X4,X41,X10,X13,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X41),X10))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
file('<stdin>',cls_conversep_Ointros_0) ).
fof(c_0_74,axiom,
! [X50,X49,X5] : c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(X49,X5),c_Transitive__Closure_Ortranclp(X50,X5),tc_fun(X5,tc_fun(X5,tc_bool))),X5) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X49,X50,tc_fun(X5,tc_fun(X5,tc_bool))),X5),
file('<stdin>',cls_rtranclp__sup__rtranclp_0) ).
fof(c_0_75,axiom,
! [X25,X14,X19] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X19),X25)),hAPP(hAPP(c_Lambda_OdB_OApp,X14),X25)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X19),X14)) ),
file('<stdin>',cls_appL_0) ).
fof(c_0_76,axiom,
! [X25,X14,X19] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X25),X19)),hAPP(hAPP(c_Lambda_OdB_OApp,X25),X14)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X19),X14)) ),
file('<stdin>',cls_appR_0) ).
fof(c_0_77,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
file('<stdin>',cls_tranclp__into__tranclp2_0) ).
fof(c_0_78,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(X4,X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41)) ),
file('<stdin>',cls_tranclp_Otrancl__into__trancl_0) ).
fof(c_0_79,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(X4,X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41)) ),
file('<stdin>',cls_rtranclp_Ortrancl__into__rtrancl_0) ).
fof(c_0_80,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
file('<stdin>',cls_converse__rtranclp__into__rtranclp_0) ).
fof(c_0_81,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(X4,X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41)) ),
file('<stdin>',cls_rtranclp__into__tranclp1_0) ).
fof(c_0_82,axiom,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
file('<stdin>',cls_rtranclp__into__tranclp2_0) ).
fof(c_0_83,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| hBOOL(hAPP(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X4,X3,X5)),X3)) ),
file('<stdin>',cls_accpI_0) ).
fof(c_0_84,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| hBOOL(hAPP(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X4,X3,X5)),X3)) ),
file('<stdin>',cls_accp_OaccI_0) ).
fof(c_0_85,axiom,
! [X3,X49,X5] :
( hBOOL(hAPP(hAPP(X49,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X49,X3,X5)),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X49,X5),X3)) ),
file('<stdin>',cls_not__accp__down_0) ).
fof(c_0_86,axiom,
! [X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X4,X23)),c_Lambda_Olift(X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
file('<stdin>',cls_lift__preserves__beta_H_0) ).
fof(c_0_87,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X4,X3,X5))) ),
file('<stdin>',cls_accpI_1) ).
fof(c_0_88,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X4,X3,X5))) ),
file('<stdin>',cls_accp_OaccI_1) ).
fof(c_0_89,axiom,
! [X3,X49,X5] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X49,X5),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X49,X3,X5)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X49,X5),X3)) ),
file('<stdin>',cls_not__accp__down_1) ).
fof(c_0_90,axiom,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| ~ hBOOL(hAPP(X53,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__induct__rule_2) ).
fof(c_0_91,axiom,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| ~ hBOOL(hAPP(X53,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__induct_2) ).
fof(c_0_92,axiom,
! [X14] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X14))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
file('<stdin>',cls_IT__implies__termi_0) ).
fof(c_0_93,axiom,
! [X3,X24,X22,X5] : hAPP(c_Type_Oshift(X24,X3,X22,X5),X3) = X22,
file('<stdin>',cls_shift__eq_0) ).
fof(c_0_94,axiom,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X41))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X10))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__downwards_0) ).
fof(c_0_95,axiom,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X41))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X10)) ),
file('<stdin>',cls_accp__downwards__aux_0) ).
fof(c_0_96,axiom,
! [X25,X14,X19,X40] : c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X14),X25),X19,X40) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X14,X19,X40)),c_Lambda_Osubst(X25,X19,X40)),
file('<stdin>',cls_subst__App_0) ).
fof(c_0_97,axiom,
! [X41,X10,X49,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X49,X5),X10),X41))
| X10 = X41
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X49,X5),X10),X41)) ),
file('<stdin>',cls_rtranclpD_0) ).
fof(c_0_98,axiom,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41))
| X10 = X41
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41)) ),
file('<stdin>',cls_Nitpick_Ortranclp__def_0) ).
fof(c_0_99,axiom,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41)) ),
file('<stdin>',cls_Nitpick_Ortranclp__def_2) ).
fof(c_0_100,axiom,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__induct__rule_0) ).
fof(c_0_101,axiom,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp__induct_0) ).
fof(c_0_102,axiom,
! [X31,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X19)),c_Lambda_OdB_OAbs(X31)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X19),X31)) ),
file('<stdin>',cls_rtrancl__beta__Abs_0) ).
fof(c_0_103,axiom,
! [X56,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X56))
| ~ hBOOL(hAPP(hAPP(X4,X56),v_sko__Wellfounded__Xaccp__Xinduct__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
file('<stdin>',cls_accp_Oinduct_0) ).
fof(c_0_104,axiom,
! [X56,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X56))
| ~ hBOOL(hAPP(hAPP(X4,X56),v_sko__Wellfounded__Xaccp__Xinducts__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
file('<stdin>',cls_accp_Oinducts_0) ).
fof(c_0_105,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),c_Lattices_Oupper__semilattice__class_Osup(X3,X42,X5),X5) ),
file('<stdin>',cls_sup__inf__distrib1_0) ).
fof(c_0_106,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X3,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X3,X5),c_Lattices_Oupper__semilattice__class_Osup(X42,X3,X5),X5) ),
file('<stdin>',cls_sup__inf__distrib2_0) ).
fof(c_0_107,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),c_Lattices_Olower__semilattice__class_Oinf(X3,X42,X5),X5) ),
file('<stdin>',cls_inf__sup__distrib1_0) ).
fof(c_0_108,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X3,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X3,X5),c_Lattices_Olower__semilattice__class_Oinf(X42,X3,X5),X5) ),
file('<stdin>',cls_inf__sup__distrib2_0) ).
fof(c_0_109,axiom,
! [X2,X4,X5] :
( c_List_Olistsp(c_Wellfounded_Oaccp(X4,X5),X2,X5)
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),X2)) ),
file('<stdin>',cls_lists__accI_0) ).
fof(c_0_110,axiom,
! [X27,X14,X24,X22] :
( c_Type_Otyping(X24,X27,X22)
| ~ c_Type_Otyping(X24,X14,X22)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X14),X27)) ),
file('<stdin>',cls_subject__reduction_H_0) ).
fof(c_0_111,axiom,
! [X6,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),v_sko__Wellfounded__Xaccp__Xinduct__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
file('<stdin>',cls_accp_Oinduct_1) ).
fof(c_0_112,axiom,
! [X6,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),v_sko__Wellfounded__Xaccp__Xinducts__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
file('<stdin>',cls_accp_Oinducts_1) ).
fof(c_0_113,axiom,
! [X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X4,X23)),c_Lambda_Olift(X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
file('<stdin>',cls_lift__preserves__beta_0) ).
fof(c_0_114,axiom,
! [X6,X4,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),X10))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
file('<stdin>',cls_accp_Ocases_0) ).
fof(c_0_115,axiom,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X41)) ),
file('<stdin>',cls_accp__downward_0) ).
fof(c_0_116,axiom,
! [X14,X19,X20,X21,X22] :
( c_Type_Otyping(X20,hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14),X21)
| ~ c_Type_Otyping(X20,X14,X22)
| ~ c_Type_Otyping(X20,X19,c_Type_Otype_OFun(X22,X21)) ),
file('<stdin>',cls_App_0) ).
fof(c_0_117,axiom,
! [X2,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),X2))
| ~ c_List_Olistsp(c_Wellfounded_Oaccp(X4,X5),X2,X5) ),
file('<stdin>',cls_lists__accD_0) ).
fof(c_0_118,axiom,
! [X2,X4,X5] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_ONil(X5)),X2)),
file('<stdin>',cls_not__Nil__step1_0) ).
fof(c_0_119,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X42,X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) ),
file('<stdin>',cls_inf__assoc_0) ).
fof(c_0_120,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X3,X42,X5),X5) ),
file('<stdin>',cls_inf__left__commute_0) ).
fof(c_0_121,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X3,X42,X5),X5) ),
file('<stdin>',cls_inf__sup__aci_I3_J_0) ).
fof(c_0_122,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X42,X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) ),
file('<stdin>',cls_inf__sup__aci_I2_J_0) ).
fof(c_0_123,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X42,X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) ),
file('<stdin>',cls_sup__assoc_0) ).
fof(c_0_124,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X3,X42,X5),X5) ),
file('<stdin>',cls_sup__left__commute_0) ).
fof(c_0_125,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X3,X42,X5),X5) ),
file('<stdin>',cls_inf__sup__aci_I7_J_0) ).
fof(c_0_126,axiom,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X42,X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) ),
file('<stdin>',cls_inf__sup__aci_I6_J_0) ).
fof(c_0_127,axiom,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(X4,X3),X6)) ),
file('<stdin>',cls_r__into__rtranclp_0) ).
fof(c_0_128,axiom,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
file('<stdin>',cls_tranclp_Or__into__trancl_0) ).
fof(c_0_129,axiom,
! [X2,X4,X5] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X2),c_List_Olist_ONil(X5))),
file('<stdin>',cls_not__step1__Nil_0) ).
fof(c_0_130,axiom,
! [X4,X51,X23] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X4,c_Lambda_OdB_OVar(X23),X51)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X4)) ),
file('<stdin>',cls_subst__Var__IT_0) ).
fof(c_0_131,axiom,
! [X49,X5] : c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X49,c_fequal(X5),tc_fun(X5,tc_fun(X5,tc_bool))),X5) = c_Transitive__Closure_Ortranclp(X49,X5),
file('<stdin>',cls_rtranclp__reflcl_0) ).
fof(c_0_132,axiom,
! [X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| ~ hBOOL(hAPP(X53,v_sko__Wellfounded__Xaccp__Xinduct__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
file('<stdin>',cls_accp_Oinduct_2) ).
fof(c_0_133,axiom,
! [X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| ~ hBOOL(hAPP(X53,v_sko__Wellfounded__Xaccp__Xinducts__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
file('<stdin>',cls_accp_Oinducts_2) ).
fof(c_0_134,axiom,
! [X27,X14,X24,X22] :
( c_Type_Otyping(X24,X27,X22)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X14),X27))
| ~ c_Type_Otyping(X24,X14,X22) ),
file('<stdin>',cls_subject__reduction_0) ).
fof(c_0_135,axiom,
! [X14,X23] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X14),c_Lambda_OdB_OVar(X23))))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
file('<stdin>',cls_app__Var__IT_0) ).
fof(c_0_136,axiom,
! [X14,X19] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X19)),c_Lambda_OdB_OAbs(X14)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X19),X14)) ),
file('<stdin>',cls_abs_0) ).
fof(c_0_137,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) ),
file('<stdin>',cls_inf__left__idem_0) ).
fof(c_0_138,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) ),
file('<stdin>',cls_inf__sup__aci_I4_J_0) ).
fof(c_0_139,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) ),
file('<stdin>',cls_sup__left__idem_0) ).
fof(c_0_140,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) ),
file('<stdin>',cls_inf__sup__aci_I8_J_0) ).
fof(c_0_141,axiom,
! [X4,X5] : c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X4,X5,X5),X5) = c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X4,X5),X5,X5),
file('<stdin>',cls_tranclp__converse_0) ).
fof(c_0_142,axiom,
! [X14,X19,X40] : c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14),X40) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X19,X40)),c_Lambda_Olift(X14,X40)),
file('<stdin>',cls_lift_Osimps_I2_J_0) ).
fof(c_0_143,axiom,
! [X3,X4,X5] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X3)),
file('<stdin>',cls_Nitpick_Ortranclp__def_1) ).
fof(c_0_144,axiom,
! [X4,X10,X5] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X10)),
file('<stdin>',cls_rtranclp_Ortrancl__refl_0) ).
fof(c_0_145,axiom,
! [X7,X8,X9,X10,X5] :
( c_List_Olist_OCons(X10,X8,X5) != c_List_Olist_OCons(X9,X7,X5)
| X10 = X9 ),
file('<stdin>',cls_list_Oinject_0) ).
fof(c_0_146,axiom,
! [X7,X8,X9,X10,X5] :
( c_List_Olist_OCons(X10,X8,X5) != c_List_Olist_OCons(X9,X7,X5)
| X8 = X7 ),
file('<stdin>',cls_list_Oinject_1) ).
fof(c_0_147,axiom,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X4,X5),c_fequal(X5),tc_fun(X5,tc_fun(X5,tc_bool))) = c_Transitive__Closure_Ortranclp(X4,X5),
file('<stdin>',cls_reflcl__tranclp_0) ).
fof(c_0_148,axiom,
! [X59,X60,X5] :
( X60 = X59
| ~ hBOOL(hAPP(hAPP(c_fequal(X5),X60),X59)) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_149,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X5) = X3 ),
file('<stdin>',cls_inf__sup__absorb_0) ).
fof(c_0_150,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X5) = X3 ),
file('<stdin>',cls_sup__inf__absorb_0) ).
fof(c_0_151,axiom,
! [X4,X13,X5] : c_Predicate_Oconversep(c_Predicate_Oconversep(X4,X5,X13),X13,X5) = X4,
file('<stdin>',cls_conversep__conversep_0) ).
fof(c_0_152,axiom,
! [X14,X23] : ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X23)),X14)),
file('<stdin>',cls_beta__cases_I1_J_0) ).
fof(c_0_153,axiom,
! [X14,X23] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X14,X23)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
file('<stdin>',cls_lift__IT_0) ).
fof(c_0_154,axiom,
! [X37,X47,X38,X48] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47) != hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37)
| X48 = X38 ),
file('<stdin>',cls_dB_Osimps_I2_J_0) ).
fof(c_0_155,axiom,
! [X37,X47,X38,X48] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47) != hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37)
| X47 = X37 ),
file('<stdin>',cls_dB_Osimps_I2_J_1) ).
fof(c_0_156,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,X3,X5) ),
file('<stdin>',cls_inf__commute_0) ).
fof(c_0_157,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,X3,X5) ),
file('<stdin>',cls_inf__sup__aci_I1_J_0) ).
fof(c_0_158,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,X3,X5) ),
file('<stdin>',cls_sup__commute_0) ).
fof(c_0_159,axiom,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,X3,X5) ),
file('<stdin>',cls_inf__sup__aci_I5_J_0) ).
fof(c_0_160,axiom,
! [X14,X24,X22] :
( hBOOL(hAPP(c_InductTermi_OIT,X14))
| ~ c_Type_Otyping(X24,X14,X22) ),
file('<stdin>',cls_type__implies__IT_0) ).
fof(c_0_161,axiom,
! [X23,X24,X22] :
( hAPP(X24,X23) = X22
| ~ c_Type_Otyping(X24,c_Lambda_OdB_OVar(X23),X22) ),
file('<stdin>',cls_typing__elims_I1_J_0) ).
fof(c_0_162,axiom,
! [X3,X5] : hBOOL(hAPP(hAPP(c_fequal(X5),X3),X3)),
file('<stdin>',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(c_0_163,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| ~ c_Wellfounded_OwfP(X4,X5) ),
file('<stdin>',cls_accp__wfPD_0) ).
fof(c_0_164,axiom,
! [X7,X9,X5] : c_List_Olist_OCons(X9,X7,X5) != c_List_Olist_ONil(X5),
file('<stdin>',cls_list_Osimps_I3_J_0) ).
fof(c_0_165,axiom,
! [X11,X3,X5] : c_List_Olist_OCons(X3,X11,X5) != c_List_Olist_ONil(X5),
file('<stdin>',cls_neq__Nil__conv_1) ).
fof(c_0_166,axiom,
! [X7,X9,X5] : c_List_Olist_ONil(X5) != c_List_Olist_OCons(X9,X7,X5),
file('<stdin>',cls_list_Osimps_I2_J_0) ).
fof(c_0_167,axiom,
! [X2,X3,X5] : X2 != c_List_Olist_OCons(X3,X2,X5),
file('<stdin>',cls_not__Cons__self_0) ).
fof(c_0_168,axiom,
! [X3,X14,X5] : c_List_Olist_OCons(X3,X14,X5) != X14,
file('<stdin>',cls_not__Cons__self2_0) ).
fof(c_0_169,axiom,
! [X3,X20] : c_Type_Otyping(X20,c_Lambda_OdB_OVar(X3),hAPP(X20,X3)),
file('<stdin>',cls_typing_OVar_0) ).
fof(c_0_170,axiom,
! [X4] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X4)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X4)) ),
file('<stdin>',cls_Lambda_0) ).
fof(c_0_171,axiom,
! [X14,X19,X40] : c_Lambda_Osubst(c_Lambda_Olift(X14,X40),X19,X40) = X14,
file('<stdin>',cls_subst__lift_0) ).
fof(c_0_172,axiom,
! [X5] : c_Predicate_Oconversep(c_fequal(X5),X5,X5) = c_fequal(X5),
file('<stdin>',cls_conversep__eq_0) ).
fof(c_0_173,axiom,
! [X45,X47,X48] : hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47) != c_Lambda_OdB_OAbs(X45),
file('<stdin>',cls_dB_Osimps_I8_J_0) ).
fof(c_0_174,axiom,
! [X45,X47,X48] : c_Lambda_OdB_OAbs(X45) != hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47),
file('<stdin>',cls_dB_Osimps_I9_J_0) ).
fof(c_0_175,axiom,
! [X36,X37,X38] : c_Lambda_OdB_OVar(X36) != hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37),
file('<stdin>',cls_dB_Osimps_I4_J_0) ).
fof(c_0_176,axiom,
! [X36,X37,X38] : hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37) != c_Lambda_OdB_OVar(X36),
file('<stdin>',cls_dB_Osimps_I5_J_0) ).
fof(c_0_177,axiom,
! [X4,X5] :
( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X4,X5),X5)
| ~ c_Wellfounded_OwfP(X4,X5) ),
file('<stdin>',cls_wfP__trancl_0) ).
fof(c_0_178,axiom,
! [X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X3,X5) = X3 ),
file('<stdin>',cls_inf__idem_0) ).
fof(c_0_179,axiom,
! [X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X3,X5) = X3 ),
file('<stdin>',cls_sup__idem_0) ).
fof(c_0_180,axiom,
! [X25,X40] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X40),X25,X40) = X25,
file('<stdin>',cls_subst__eq_0) ).
fof(c_0_181,axiom,
! [X32,X5] : c_List_Olistsp(X32,c_List_Olist_ONil(X5),X5),
file('<stdin>',cls_listsp_ONil_0) ).
fof(c_0_182,axiom,
! [X4,X5] : c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X4,X5),X5) = c_Transitive__Closure_Ortranclp(X4,X5),
file('<stdin>',cls_rtranclp__idemp_0) ).
fof(c_0_183,axiom,
! [X15,X16,X17,X18] :
( c_Type_Otype_OFun(X18,X16) != c_Type_Otype_OFun(X17,X15)
| X18 = X17 ),
file('<stdin>',cls_type_Osimps_I2_J_0) ).
fof(c_0_184,axiom,
! [X15,X16,X17,X18] :
( c_Type_Otype_OFun(X18,X16) != c_Type_Otype_OFun(X17,X15)
| X16 = X15 ),
file('<stdin>',cls_type_Osimps_I2_J_1) ).
fof(c_0_185,axiom,
! [X30] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X30))),
file('<stdin>',cls_Var__IT_0) ).
fof(c_0_186,axiom,
! [X57,X58] :
( class_Lattices_Olattice(tc_fun(X57,X58))
| ~ class_Lattices_Olattice(X58) ),
file('<stdin>',clsarity_fun__Lattices_Olattice) ).
fof(c_0_187,axiom,
! [X57,X58] :
( class_Lattices_Odistrib__lattice(tc_fun(X57,X58))
| ~ class_Lattices_Odistrib__lattice(X58) ),
file('<stdin>',clsarity_fun__Lattices_Odistrib__lattice) ).
fof(c_0_188,axiom,
! [X57,X58] :
( class_Lattices_Olower__semilattice(tc_fun(X57,X58))
| ~ class_Lattices_Olattice(X58) ),
file('<stdin>',clsarity_fun__Lattices_Olower__semilattice) ).
fof(c_0_189,axiom,
! [X57,X58] :
( class_Lattices_Oupper__semilattice(tc_fun(X57,X58))
| ~ class_Lattices_Olattice(X58) ),
file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(c_0_190,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
file('<stdin>',cls_CHAINED_0) ).
fof(c_0_191,axiom,
! [X52,X36] :
( c_Lambda_OdB_OVar(X36) != c_Lambda_OdB_OVar(X52)
| X36 = X52 ),
file('<stdin>',cls_dB_Osimps_I1_J_0) ).
fof(c_0_192,axiom,
! [X45,X46] :
( c_Lambda_OdB_OAbs(X46) != c_Lambda_OdB_OAbs(X45)
| X46 = X45 ),
file('<stdin>',cls_dB_Osimps_I3_J_0) ).
fof(c_0_193,axiom,
! [X36,X45] : c_Lambda_OdB_OAbs(X45) != c_Lambda_OdB_OVar(X36),
file('<stdin>',cls_dB_Osimps_I7_J_0) ).
fof(c_0_194,axiom,
! [X36,X45] : c_Lambda_OdB_OVar(X36) != c_Lambda_OdB_OAbs(X45),
file('<stdin>',cls_dB_Osimps_I6_J_0) ).
fof(c_0_195,axiom,
class_Lattices_Olattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Olattice) ).
fof(c_0_196,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Odistrib__lattice) ).
fof(c_0_197,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Olower__semilattice) ).
fof(c_0_198,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(c_0_199,axiom,
class_Lattices_Olattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Olattice) ).
fof(c_0_200,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Odistrib__lattice) ).
fof(c_0_201,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Olower__semilattice) ).
fof(c_0_202,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(c_0_203,plain,
! [X28,X29,X30] :
( X28 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X30,X29,X28),tc_Lambda_OdB,tc_Lambda_OdB)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X29,tc_Lambda_OdB,tc_Lambda_OdB)),X28)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_204,plain,
! [X28,X29,X30] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X29),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X30,X29,X28)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X29,tc_Lambda_OdB,tc_Lambda_OdB)),X28)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_205,plain,
! [X34,X19,X4] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X4,X19,c_HOL_Ozero__class_Ozero(tc_nat)),X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X19))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4)),X19),X34,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_206,plain,
! [X34,X19,X4] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X34,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_207,plain,
! [X34,X29,X4] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X29,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X29),X34)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_208,plain,
! [X34,X19,X4] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X34,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_209,plain,
! [X34,X19,X4] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4)),X19),X34,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X19))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X4,X19,c_HOL_Ozero__class_Ozero(tc_nat)),X34,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_210,plain,
! [X19,X4,X43,X41,X10,X44,X13,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X4,X19,X5,X13,X44),X10),X43))
| ~ hBOOL(hAPP(hAPP(X19,X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_211,plain,
! [X33,X23,X24,X21,X22] :
( X22 = X21
| ~ c_Type_Otyping(X24,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X23),X33,tc_Lambda_OdB,tc_Lambda_OdB),X21)
| ~ c_Type_Otyping(X24,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X23),X33,tc_Lambda_OdB,tc_Lambda_OdB),X22) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_212,plain,
! [X29,X30] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X29,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X29,tc_Lambda_OdB) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_213,axiom,
! [X19,X4,X44,X13,X5] : c_Predicate_Oconversep(c_Predicate_Opred__comp(X4,X19,X13,X44,X5),X13,X5) = c_Predicate_Opred__comp(c_Predicate_Oconversep(X19,X44,X5),c_Predicate_Oconversep(X4,X13,X44),X5,X44,X13),
c_0_10 ).
fof(c_0_214,axiom,
! [X34,X29,X30,X35] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X35 = X30 ),
c_0_11 ).
fof(c_0_215,axiom,
! [X34,X29,X30,X35] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X29 = X34 ),
c_0_12 ).
fof(c_0_216,axiom,
! [X34,X19,X29,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X4 = X19 ),
c_0_13 ).
fof(c_0_217,axiom,
! [X34,X19,X29,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X29,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19),X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X29 = X34 ),
c_0_14 ).
fof(c_0_218,axiom,
! [X33,X34,X4,X30] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X34,tc_Lambda_OdB,tc_Lambda_OdB),
c_0_15 ).
fof(c_0_219,axiom,
! [X33,X19,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X4,X33,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X33,tc_Lambda_OdB,tc_Lambda_OdB)
| X4 = X19 ),
c_0_16 ).
fof(c_0_220,axiom,
! [X33,X14,X19,X4] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) != c_List_Ofoldl(c_Lambda_OdB_OApp,X14,X33,tc_Lambda_OdB,tc_Lambda_OdB)
| X4 = c_List_Ofoldl(c_Lambda_OdB_OApp,X14,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X4,X19,X14,X33),tc_Lambda_OdB,tc_Lambda_OdB)
| X33 = c_List_Olist_ONil(tc_Lambda_OdB) ),
c_0_17 ).
fof(c_0_221,axiom,
! [X2,X3,X12,X10,X13,X5] : c_List_Ofoldl(X12,X10,c_List_Olist_OCons(X3,X2,X13),X5,X13) = c_List_Ofoldl(X12,hAPP(hAPP(X12,X10),X3),X2,X5,X13),
c_0_18 ).
fof(c_0_222,plain,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X4,X5),X5,X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_223,plain,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X4,X5),X5,X5),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_224,axiom,
! [X14,X19,X4] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) != c_List_Ofoldl(c_Lambda_OdB_OApp,X14,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
| hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) = X14 ),
c_0_21 ).
fof(c_0_225,axiom,
! [X14,X34,X19,X30] : hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19)),X14) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X30),X34,tc_Lambda_OdB,tc_Lambda_OdB),
c_0_22 ).
fof(c_0_226,axiom,
! [X34,X19,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X4)
| X19 = c_Lambda_OdB_OAbs(X4) ),
c_0_23 ).
fof(c_0_227,axiom,
! [X34,X19,X35] :
( c_Lambda_OdB_OVar(X35) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X35) = X19 ),
c_0_24 ).
fof(c_0_228,axiom,
! [X34,X19,X4] :
( c_Lambda_OdB_OAbs(X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X4) = X19 ),
c_0_25 ).
fof(c_0_229,axiom,
! [X34,X19,X35] :
( c_Lambda_OdB_OVar(X35) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
c_0_26 ).
fof(c_0_230,axiom,
! [X34,X19,X4] :
( c_Lambda_OdB_OAbs(X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
c_0_27 ).
fof(c_0_231,axiom,
! [X34,X19,X4] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X19,X34,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X4)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
c_0_28 ).
fof(c_0_232,plain,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(X39,X3),X6))
| hBOOL(hAPP(hAPP(X32,X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_233,plain,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X6),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_234,plain,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(X39,X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_235,plain,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(X32,X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_236,plain,
! [X1,X6,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X1),X2))
| hBOOL(hAPP(hAPP(X4,X6),X3))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_237,plain,
! [X1,X6,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X1),X2))
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_238,plain,
! [X1,X6,X2,X3,X4,X5] :
( X3 = X6
| hBOOL(hAPP(hAPP(X4,X6),X3))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_239,plain,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6))
| ~ hBOOL(hAPP(hAPP(X39,X3),X6))
| ~ hBOOL(hAPP(hAPP(X32,X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_240,plain,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X4,X5,X5),X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X6),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_241,axiom,
! [X19,X4] : hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X19),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
c_0_38 ).
fof(c_0_242,plain,
! [X1,X6,X2,X3,X4,X5] :
( X3 = X6
| X2 = X1
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X1,X5)),c_List_Olist_OCons(X3,X2,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_243,plain,
! [X25,X14,X23,X24,X21,X22] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X14,X25,X23)))
| ~ c_Type_Otyping(X24,X25,X21)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X25))
| ~ c_Type_Otyping(c_Type_Oshift(X24,X23,X21,tc_Type_Otype),X14,X22)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_244,plain,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6))
| ~ hBOOL(hAPP(hAPP(X32,X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_245,plain,
! [X6,X3,X39,X32,X13,X5] :
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X32,X39,tc_fun(X5,tc_fun(X13,tc_bool))),X3),X6))
| ~ hBOOL(hAPP(hAPP(X39,X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_246,axiom,
! [X35] : c_Lambda_OdB_OVar(X35) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
c_0_43 ).
fof(c_0_247,axiom,
! [X4] : c_Lambda_OdB_OAbs(X4) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
c_0_44 ).
fof(c_0_248,axiom,
! [X4] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X4),
c_0_45 ).
fof(c_0_249,axiom,
! [X12,X10,X13,X5] : c_List_Ofoldl(X12,X10,c_List_Olist_ONil(X13),X5,X13) = X10,
c_0_46 ).
fof(c_0_250,plain,
! [X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X3,X1,X5)),c_List_Olist_OCons(X3,X2,X5)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X1),X2)) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_251,plain,
! [X25,X14,X23,X26,X21,X22] :
( ~ c_Type_Otyping(X26,X25,X21)
| ~ c_Type_Otyping(c_Type_Oshift(X26,X23,X21,tc_Type_Otype),X14,X22)
| c_Type_Otyping(X26,c_Lambda_Osubst(X14,X25,X23),X22) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_252,plain,
! [X27,X14,X31,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14)),hAPP(hAPP(c_Lambda_OdB_OApp,X31),X27)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X14),X27))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X19),X31)) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_253,plain,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X4,X14,X23)),c_Lambda_Osubst(X19,X14,X23)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_254,plain,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X14,X4,X23)),c_Lambda_Osubst(X14,X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_255,plain,
! [X6,X11,X3,X4,X5] :
( ~ hBOOL(hAPP(hAPP(X4,X6),X11))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X6,X3,X5)),c_List_Olist_OCons(X11,X3,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_256,plain,
! [X14,X20,X21,X22] :
( c_Type_Otyping(X20,c_Lambda_OdB_OAbs(X14),c_Type_Otype_OFun(X22,X21))
| ~ c_Type_Otyping(c_Type_Oshift(X20,c_HOL_Ozero__class_Ozero(tc_nat),X22,tc_Type_Otype),X14,X21) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_257,plain,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X14,X4,X23)),c_Lambda_Osubst(X14,X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_258,plain,
! [X2,X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),c_List_Olist_OCons(X3,X2,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_259,plain,
! [X4,X41,X10,X13,X5] :
( hBOOL(hAPP(hAPP(X4,X41),X10))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_260,plain,
! [X4,X54,X55,X13,X5] :
( hBOOL(hAPP(hAPP(X4,X54),X55))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X55),X54)) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_261,plain,
! [X14,X31,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14)),hAPP(hAPP(c_Lambda_OdB_OApp,X31),X14)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X19),X31)) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_262,plain,
! [X27,X14,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14)),hAPP(hAPP(c_Lambda_OdB_OApp,X19),X27)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X14),X27)) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_263,plain,
! [X14,X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X4,X14,X23)),c_Lambda_Osubst(X19,X14,X23)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_264,plain,
! [X42,X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X3),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X6),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_265,plain,
! [X42,X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X6),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_266,plain,
! [X42,X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X3),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X6),X42))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_267,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_268,plain,
! [X4] :
( hBOOL(hAPP(c_InductTermi_OIT,X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X4)) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_269,axiom,
! [X14,X19] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X19)),X14)),c_Lambda_Osubst(X19,X14,c_HOL_Ozero__class_Ozero(tc_nat)))),
c_0_66 ).
fof(c_0_270,plain,
! [X14,X23,X24,X21,X22] :
( c_Type_Otyping(c_Type_Oshift(X24,X23,X21,tc_Type_Otype),c_Lambda_Olift(X14,X23),X22)
| ~ c_Type_Otyping(X24,X14,X22) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_271,plain,
! [X6,X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_272,plain,
! [X6,X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_273,axiom,
! [X19,X4,X13,X5] : c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X4,X19,tc_fun(X13,tc_fun(X5,tc_bool))),X13,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X4,X13,X5),c_Predicate_Oconversep(X19,X13,X5),tc_fun(X5,tc_fun(X13,tc_bool))),
c_0_70 ).
fof(c_0_274,axiom,
! [X19,X4,X13,X5] : c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X4,X19,tc_fun(X13,tc_fun(X5,tc_bool))),X13,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X4,X13,X5),c_Predicate_Oconversep(X19,X13,X5),tc_fun(X5,tc_fun(X13,tc_bool))),
c_0_71 ).
fof(c_0_275,plain,
! [X4,X41,X10,X13,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X10),X41))
| ~ hBOOL(hAPP(hAPP(X4,X41),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_276,plain,
! [X4,X41,X10,X13,X5] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X4,X5,X13),X41),X10))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_277,axiom,
! [X50,X49,X5] : c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(X49,X5),c_Transitive__Closure_Ortranclp(X50,X5),tc_fun(X5,tc_fun(X5,tc_bool))),X5) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X49,X50,tc_fun(X5,tc_fun(X5,tc_bool))),X5),
c_0_74 ).
fof(c_0_278,plain,
! [X25,X14,X19] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X19),X25)),hAPP(hAPP(c_Lambda_OdB_OApp,X14),X25)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X19),X14)) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_279,plain,
! [X25,X14,X19] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X25),X19)),hAPP(hAPP(c_Lambda_OdB_OApp,X25),X14)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X19),X14)) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_280,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_281,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(X4,X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_282,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(X4,X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_283,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_284,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(X4,X41),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_285,plain,
! [X4,X43,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X43))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_286,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| hBOOL(hAPP(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X4,X3,X5)),X3)) ),
c_0_83 ).
fof(c_0_287,axiom,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| hBOOL(hAPP(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X4,X3,X5)),X3)) ),
c_0_84 ).
fof(c_0_288,axiom,
! [X3,X49,X5] :
( hBOOL(hAPP(hAPP(X49,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X49,X3,X5)),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X49,X5),X3)) ),
c_0_85 ).
fof(c_0_289,plain,
! [X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X4,X23)),c_Lambda_Olift(X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_290,plain,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X4,X3,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_291,plain,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X4,X3,X5))) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_292,plain,
! [X3,X49,X5] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X49,X5),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X49,X3,X5)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X49,X5),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_293,plain,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| ~ hBOOL(hAPP(X53,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_294,plain,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| ~ hBOOL(hAPP(X53,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_295,plain,
! [X14] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X14))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_296,axiom,
! [X3,X24,X22,X5] : hAPP(c_Type_Oshift(X24,X3,X22,X5),X3) = X22,
c_0_93 ).
fof(c_0_297,plain,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X41))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X10))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_298,plain,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X41))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X41),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_299,axiom,
! [X25,X14,X19,X40] : c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X14),X25),X19,X40) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X14,X19,X40)),c_Lambda_Osubst(X25,X19,X40)),
c_0_96 ).
fof(c_0_300,plain,
! [X41,X10,X49,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X49,X5),X10),X41))
| X10 = X41
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X49,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_301,plain,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41))
| X10 = X41
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_302,plain,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X41))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_303,plain,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_304,plain,
! [X4,X10,X53,X5] :
( hBOOL(hAPP(X53,X10))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X53,X4,X5)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_305,plain,
! [X31,X19] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X19)),c_Lambda_OdB_OAbs(X31)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X19),X31)) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_306,plain,
! [X56,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X56))
| ~ hBOOL(hAPP(hAPP(X4,X56),v_sko__Wellfounded__Xaccp__Xinduct__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_307,plain,
! [X56,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X56))
| ~ hBOOL(hAPP(hAPP(X4,X56),v_sko__Wellfounded__Xaccp__Xinducts__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_308,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),c_Lattices_Oupper__semilattice__class_Osup(X3,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_309,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X3,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X3,X5),c_Lattices_Oupper__semilattice__class_Osup(X42,X3,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_310,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),c_Lattices_Olower__semilattice__class_Oinf(X3,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_311,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Odistrib__lattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X3,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X3,X5),c_Lattices_Olower__semilattice__class_Oinf(X42,X3,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_312,plain,
! [X2,X4,X5] :
( c_List_Olistsp(c_Wellfounded_Oaccp(X4,X5),X2,X5)
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),X2)) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_313,plain,
! [X27,X14,X24,X22] :
( c_Type_Otyping(X24,X27,X22)
| ~ c_Type_Otyping(X24,X14,X22)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X14),X27)) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_314,plain,
! [X6,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),v_sko__Wellfounded__Xaccp__Xinduct__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_315,plain,
! [X6,X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| hBOOL(hAPP(X53,X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),v_sko__Wellfounded__Xaccp__Xinducts__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_316,plain,
! [X19,X4,X23] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X4,X23)),c_Lambda_Olift(X19,X23)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X4),X19)) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_317,plain,
! [X6,X4,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(X4,X6),X10))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10)) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_318,plain,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X10))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_319,plain,
! [X14,X19,X20,X21,X22] :
( c_Type_Otyping(X20,hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14),X21)
| ~ c_Type_Otyping(X20,X14,X22)
| ~ c_Type_Otyping(X20,X19,c_Type_Otype_OFun(X22,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_320,plain,
! [X2,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X4,X5),tc_List_Olist(X5)),X2))
| ~ c_List_Olistsp(c_Wellfounded_Oaccp(X4,X5),X2,X5) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_321,plain,
! [X2,X4,X5] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_ONil(X5)),X2)),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_322,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X42,X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_323,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X3,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_324,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X3,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_325,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X42,X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X6,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_326,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X42,X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_327,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X3,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_328,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X3,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_329,plain,
! [X42,X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X42,X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X6,X42,X5),X5) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_330,plain,
! [X6,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X6))
| ~ hBOOL(hAPP(hAPP(X4,X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_331,plain,
! [X4,X41,X10,X5] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X4,X5),X10),X41))
| ~ hBOOL(hAPP(hAPP(X4,X10),X41)) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_332,plain,
! [X2,X4,X5] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),X2),c_List_Olist_ONil(X5))),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_333,plain,
! [X4,X51,X23] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X4,c_Lambda_OdB_OVar(X23),X51)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_334,axiom,
! [X49,X5] : c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X49,c_fequal(X5),tc_fun(X5,tc_fun(X5,tc_bool))),X5) = c_Transitive__Closure_Ortranclp(X49,X5),
c_0_131 ).
fof(c_0_335,plain,
! [X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| ~ hBOOL(hAPP(X53,v_sko__Wellfounded__Xaccp__Xinduct__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_336,plain,
! [X3,X4,X53] :
( hBOOL(hAPP(X53,X3))
| ~ hBOOL(hAPP(X53,v_sko__Wellfounded__Xaccp__Xinducts__1(X53,X4)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X4,t_a),X3)) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_337,plain,
! [X27,X14,X24,X22] :
( c_Type_Otyping(X24,X27,X22)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X14),X27))
| ~ c_Type_Otyping(X24,X14,X22) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_338,plain,
! [X14,X23] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X14),c_Lambda_OdB_OVar(X23))))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_339,plain,
! [X14,X19] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X19)),c_Lambda_OdB_OAbs(X14)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X19),X14)) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_340,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_341,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_342,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_343,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_344,axiom,
! [X4,X5] : c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X4,X5,X5),X5) = c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X4,X5),X5,X5),
c_0_141 ).
fof(c_0_345,axiom,
! [X14,X19,X40] : c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X19),X14),X40) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X19,X40)),c_Lambda_Olift(X14,X40)),
c_0_142 ).
fof(c_0_346,axiom,
! [X3,X4,X5] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X3),X3)),
c_0_143 ).
fof(c_0_347,axiom,
! [X4,X10,X5] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X4,X5),X10),X10)),
c_0_144 ).
fof(c_0_348,axiom,
! [X7,X8,X9,X10,X5] :
( c_List_Olist_OCons(X10,X8,X5) != c_List_Olist_OCons(X9,X7,X5)
| X10 = X9 ),
c_0_145 ).
fof(c_0_349,axiom,
! [X7,X8,X9,X10,X5] :
( c_List_Olist_OCons(X10,X8,X5) != c_List_Olist_OCons(X9,X7,X5)
| X8 = X7 ),
c_0_146 ).
fof(c_0_350,axiom,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X4,X5),c_fequal(X5),tc_fun(X5,tc_fun(X5,tc_bool))) = c_Transitive__Closure_Ortranclp(X4,X5),
c_0_147 ).
fof(c_0_351,plain,
! [X59,X60,X5] :
( X60 = X59
| ~ hBOOL(hAPP(hAPP(c_fequal(X5),X60),X59)) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_352,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5),X5) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_353,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5),X5) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_354,axiom,
! [X4,X13,X5] : c_Predicate_Oconversep(c_Predicate_Oconversep(X4,X5,X13),X13,X5) = X4,
c_0_151 ).
fof(c_0_355,plain,
! [X14,X23] : ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X23)),X14)),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_356,plain,
! [X14,X23] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X14,X23)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_357,axiom,
! [X37,X47,X38,X48] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47) != hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37)
| X48 = X38 ),
c_0_154 ).
fof(c_0_358,axiom,
! [X37,X47,X38,X48] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47) != hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37)
| X47 = X37 ),
c_0_155 ).
fof(c_0_359,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,X3,X5) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_360,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X6,X5) = c_Lattices_Olower__semilattice__class_Oinf(X6,X3,X5) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_361,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,X3,X5) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_362,plain,
! [X6,X3,X5] :
( ~ class_Lattices_Olattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X6,X5) = c_Lattices_Oupper__semilattice__class_Osup(X6,X3,X5) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_363,plain,
! [X14,X24,X22] :
( hBOOL(hAPP(c_InductTermi_OIT,X14))
| ~ c_Type_Otyping(X24,X14,X22) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_364,plain,
! [X23,X24,X22] :
( hAPP(X24,X23) = X22
| ~ c_Type_Otyping(X24,c_Lambda_OdB_OVar(X23),X22) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_365,axiom,
! [X3,X5] : hBOOL(hAPP(hAPP(c_fequal(X5),X3),X3)),
c_0_162 ).
fof(c_0_366,plain,
! [X3,X4,X5] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X4,X5),X3))
| ~ c_Wellfounded_OwfP(X4,X5) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_367,axiom,
! [X7,X9,X5] : c_List_Olist_OCons(X9,X7,X5) != c_List_Olist_ONil(X5),
c_0_164 ).
fof(c_0_368,axiom,
! [X11,X3,X5] : c_List_Olist_OCons(X3,X11,X5) != c_List_Olist_ONil(X5),
c_0_165 ).
fof(c_0_369,axiom,
! [X7,X9,X5] : c_List_Olist_ONil(X5) != c_List_Olist_OCons(X9,X7,X5),
c_0_166 ).
fof(c_0_370,axiom,
! [X2,X3,X5] : X2 != c_List_Olist_OCons(X3,X2,X5),
c_0_167 ).
fof(c_0_371,axiom,
! [X3,X14,X5] : c_List_Olist_OCons(X3,X14,X5) != X14,
c_0_168 ).
fof(c_0_372,axiom,
! [X3,X20] : c_Type_Otyping(X20,c_Lambda_OdB_OVar(X3),hAPP(X20,X3)),
c_0_169 ).
fof(c_0_373,plain,
! [X4] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X4)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_374,axiom,
! [X14,X19,X40] : c_Lambda_Osubst(c_Lambda_Olift(X14,X40),X19,X40) = X14,
c_0_171 ).
fof(c_0_375,axiom,
! [X5] : c_Predicate_Oconversep(c_fequal(X5),X5,X5) = c_fequal(X5),
c_0_172 ).
fof(c_0_376,axiom,
! [X45,X47,X48] : hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47) != c_Lambda_OdB_OAbs(X45),
c_0_173 ).
fof(c_0_377,axiom,
! [X45,X47,X48] : c_Lambda_OdB_OAbs(X45) != hAPP(hAPP(c_Lambda_OdB_OApp,X48),X47),
c_0_174 ).
fof(c_0_378,axiom,
! [X36,X37,X38] : c_Lambda_OdB_OVar(X36) != hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37),
c_0_175 ).
fof(c_0_379,axiom,
! [X36,X37,X38] : hAPP(hAPP(c_Lambda_OdB_OApp,X38),X37) != c_Lambda_OdB_OVar(X36),
c_0_176 ).
fof(c_0_380,plain,
! [X4,X5] :
( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X4,X5),X5)
| ~ c_Wellfounded_OwfP(X4,X5) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_381,plain,
! [X3,X5] :
( ~ class_Lattices_Olower__semilattice(X5)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X3,X5) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_382,plain,
! [X3,X5] :
( ~ class_Lattices_Oupper__semilattice(X5)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X3,X5) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_383,axiom,
! [X25,X40] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X40),X25,X40) = X25,
c_0_180 ).
fof(c_0_384,axiom,
! [X32,X5] : c_List_Olistsp(X32,c_List_Olist_ONil(X5),X5),
c_0_181 ).
fof(c_0_385,axiom,
! [X4,X5] : c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X4,X5),X5) = c_Transitive__Closure_Ortranclp(X4,X5),
c_0_182 ).
fof(c_0_386,axiom,
! [X15,X16,X17,X18] :
( c_Type_Otype_OFun(X18,X16) != c_Type_Otype_OFun(X17,X15)
| X18 = X17 ),
c_0_183 ).
fof(c_0_387,axiom,
! [X15,X16,X17,X18] :
( c_Type_Otype_OFun(X18,X16) != c_Type_Otype_OFun(X17,X15)
| X16 = X15 ),
c_0_184 ).
fof(c_0_388,axiom,
! [X30] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X30))),
c_0_185 ).
fof(c_0_389,plain,
! [X57,X58] :
( class_Lattices_Olattice(tc_fun(X57,X58))
| ~ class_Lattices_Olattice(X58) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_390,plain,
! [X57,X58] :
( class_Lattices_Odistrib__lattice(tc_fun(X57,X58))
| ~ class_Lattices_Odistrib__lattice(X58) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_391,plain,
! [X57,X58] :
( class_Lattices_Olower__semilattice(tc_fun(X57,X58))
| ~ class_Lattices_Olattice(X58) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_392,plain,
! [X57,X58] :
( class_Lattices_Oupper__semilattice(tc_fun(X57,X58))
| ~ class_Lattices_Olattice(X58) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_393,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
c_0_190 ).
fof(c_0_394,axiom,
! [X52,X36] :
( c_Lambda_OdB_OVar(X36) != c_Lambda_OdB_OVar(X52)
| X36 = X52 ),
c_0_191 ).
fof(c_0_395,axiom,
! [X45,X46] :
( c_Lambda_OdB_OAbs(X46) != c_Lambda_OdB_OAbs(X45)
| X46 = X45 ),
c_0_192 ).
fof(c_0_396,axiom,
! [X36,X45] : c_Lambda_OdB_OAbs(X45) != c_Lambda_OdB_OVar(X36),
c_0_193 ).
fof(c_0_397,axiom,
! [X36,X45] : c_Lambda_OdB_OVar(X36) != c_Lambda_OdB_OAbs(X45),
c_0_194 ).
fof(c_0_398,axiom,
class_Lattices_Olattice(tc_bool),
c_0_195 ).
fof(c_0_399,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
c_0_196 ).
fof(c_0_400,axiom,
class_Lattices_Olower__semilattice(tc_bool),
c_0_197 ).
fof(c_0_401,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
c_0_198 ).
fof(c_0_402,axiom,
class_Lattices_Olattice(tc_nat),
c_0_199 ).
fof(c_0_403,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
c_0_200 ).
fof(c_0_404,axiom,
class_Lattices_Olower__semilattice(tc_nat),
c_0_201 ).
fof(c_0_405,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
c_0_202 ).
fof(c_0_406,plain,
! [X31,X32,X33] :
( X31 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X33),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X33,X32,X31),tc_Lambda_OdB,tc_Lambda_OdB)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X33),X32,tc_Lambda_OdB,tc_Lambda_OdB)),X31)) ),
inference(variable_rename,[status(thm)],[c_0_203]) ).
fof(c_0_407,plain,
! [X31,X32,X33] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X32),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X33,X32,X31)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X33),X32,tc_Lambda_OdB,tc_Lambda_OdB)),X31)) ),
inference(variable_rename,[status(thm)],[c_0_204]) ).
fof(c_0_408,plain,
! [X35,X36,X37] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X37,X36,c_HOL_Ozero__class_Ozero(tc_nat)),X35,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X36))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X37)),X36),X35,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(variable_rename,[status(thm)],[c_0_205]) ).
fof(c_0_409,plain,
! [X35,X36,X37] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X37,X35,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X35,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X37),X36)) ),
inference(variable_rename,[status(thm)],[c_0_206]) ).
fof(c_0_410,plain,
! [X35,X36,X37] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X37,X36,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X37,X35,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X36),X35)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_207])])]) ).
fof(c_0_411,plain,
! [X35,X36,X37] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X37,X35,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X35,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X37),X36)) ),
inference(variable_rename,[status(thm)],[c_0_208]) ).
fof(c_0_412,plain,
! [X35,X36,X37] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X37)),X36),X35,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X36))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X37,X36,c_HOL_Ozero__class_Ozero(tc_nat)),X35,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(variable_rename,[status(thm)],[c_0_209]) ).
fof(c_0_413,plain,
! [X45,X46,X47,X48,X49,X50,X51,X52] :
( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X46,X45,X52,X51,X50),X49),X47))
| ~ hBOOL(hAPP(hAPP(X45,X48),X47))
| ~ hBOOL(hAPP(hAPP(X46,X49),X48)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_210])])]) ).
fof(c_0_414,plain,
! [X34,X35,X36,X37,X38] :
( X38 = X37
| ~ c_Type_Otyping(X36,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),X34,tc_Lambda_OdB,tc_Lambda_OdB),X37)
| ~ c_Type_Otyping(X36,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X35),X34,tc_Lambda_OdB,tc_Lambda_OdB),X38) ),
inference(variable_rename,[status(thm)],[c_0_211]) ).
fof(c_0_415,plain,
! [X31,X32] :
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X32),X31,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X31,tc_Lambda_OdB) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_212])])]) ).
fof(c_0_416,plain,
! [X45,X46,X47,X48,X49] : c_Predicate_Oconversep(c_Predicate_Opred__comp(X46,X45,X48,X47,X49),X48,X49) = c_Predicate_Opred__comp(c_Predicate_Oconversep(X45,X47,X49),c_Predicate_Oconversep(X46,X48,X47),X49,X47,X48),
inference(variable_rename,[status(thm)],[c_0_213]) ).
fof(c_0_417,plain,
! [X36,X37,X38,X39] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X39),X37,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X38),X36,tc_Lambda_OdB,tc_Lambda_OdB)
| X39 = X38 ),
inference(variable_rename,[status(thm)],[c_0_214]) ).
fof(c_0_418,plain,
! [X36,X37,X38,X39] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X39),X37,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X38),X36,tc_Lambda_OdB,tc_Lambda_OdB)
| X37 = X36 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_215])])]) ).
fof(c_0_419,plain,
! [X35,X36,X37,X38] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X38),X37,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X36),X35,tc_Lambda_OdB,tc_Lambda_OdB)
| X38 = X36 ),
inference(variable_rename,[status(thm)],[c_0_216]) ).
fof(c_0_420,plain,
! [X35,X36,X37,X38] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X38),X37,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X36),X35,tc_Lambda_OdB,tc_Lambda_OdB)
| X37 = X35 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_217])])]) ).
fof(c_0_421,plain,
! [X35,X36,X37,X38] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X38),X35,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X37),X36,tc_Lambda_OdB,tc_Lambda_OdB),
inference(variable_rename,[status(thm)],[c_0_218]) ).
fof(c_0_422,plain,
! [X34,X35,X36] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X34,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X35,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X36 = X35 ),
inference(variable_rename,[status(thm)],[c_0_219]) ).
fof(c_0_423,plain,
! [X34,X35,X36,X37] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X37),X36) != c_List_Ofoldl(c_Lambda_OdB_OApp,X35,X34,tc_Lambda_OdB,tc_Lambda_OdB)
| X37 = c_List_Ofoldl(c_Lambda_OdB_OApp,X35,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X37,X36,X35,X34),tc_Lambda_OdB,tc_Lambda_OdB)
| X34 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(variable_rename,[status(thm)],[c_0_220]) ).
fof(c_0_424,plain,
! [X14,X15,X16,X17,X18,X19] : c_List_Ofoldl(X16,X17,c_List_Olist_OCons(X15,X14,X18),X19,X18) = c_List_Ofoldl(X16,hAPP(hAPP(X16,X17),X15),X14,X19,X18),
inference(variable_rename,[status(thm)],[c_0_221]) ).
fof(c_0_425,plain,
! [X7,X8,X9,X10] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X9,X10),X10,X10),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X9,X10,X10),X10),X8),X7)) ),
inference(variable_rename,[status(thm)],[c_0_222]) ).
fof(c_0_426,plain,
! [X7,X8,X9,X10] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X9,X10,X10),X10),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X9,X10),X10,X10),X8),X7)) ),
inference(variable_rename,[status(thm)],[c_0_223]) ).
fof(c_0_427,plain,
! [X20,X21,X22] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X22),X21) != c_List_Ofoldl(c_Lambda_OdB_OApp,X20,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
| hAPP(hAPP(c_Lambda_OdB_OApp,X22),X21) = X20 ),
inference(variable_rename,[status(thm)],[c_0_224]) ).
fof(c_0_428,plain,
! [X35,X36,X37,X38] : hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X37)),X35) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X38),X36,tc_Lambda_OdB,tc_Lambda_OdB),
inference(variable_rename,[status(thm)],[c_0_225]) ).
fof(c_0_429,plain,
! [X35,X36,X37] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X35,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X37)
| X36 = c_Lambda_OdB_OAbs(X37) ),
inference(variable_rename,[status(thm)],[c_0_226]) ).
fof(c_0_430,plain,
! [X36,X37,X38] :
( c_Lambda_OdB_OVar(X38) != c_List_Ofoldl(c_Lambda_OdB_OApp,X37,X36,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X38) = X37 ),
inference(variable_rename,[status(thm)],[c_0_227]) ).
fof(c_0_431,plain,
! [X35,X36,X37] :
( c_Lambda_OdB_OAbs(X37) != c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X35,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X37) = X36 ),
inference(variable_rename,[status(thm)],[c_0_228]) ).
fof(c_0_432,plain,
! [X36,X37,X38] :
( c_Lambda_OdB_OVar(X38) != c_List_Ofoldl(c_Lambda_OdB_OApp,X37,X36,tc_Lambda_OdB,tc_Lambda_OdB)
| X36 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_229])])]) ).
fof(c_0_433,plain,
! [X35,X36,X37] :
( c_Lambda_OdB_OAbs(X37) != c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X35,tc_Lambda_OdB,tc_Lambda_OdB)
| X35 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_230])])]) ).
fof(c_0_434,plain,
! [X35,X36,X37] :
( c_List_Ofoldl(c_Lambda_OdB_OApp,X36,X35,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X37)
| X35 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_231])])]) ).
fof(c_0_435,plain,
! [X40,X41,X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(X42,X41),X40))
| hBOOL(hAPP(hAPP(X43,X41),X40))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X43,X42,tc_fun(X45,tc_fun(X44,tc_bool))),X41),X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_232])])]) ).
fof(c_0_436,plain,
! [X7,X8,X9,X10] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X9,X10),X7),X8))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X9,X10,X10),X10),X8),X7)) ),
inference(variable_rename,[status(thm)],[c_0_233]) ).
fof(c_0_437,plain,
! [X40,X41,X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(X42,X41),X40))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X43,X42,tc_fun(X45,tc_fun(X44,tc_bool))),X41),X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_234])])]) ).
fof(c_0_438,plain,
! [X40,X41,X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(X43,X41),X40))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X43,X42,tc_fun(X45,tc_fun(X44,tc_bool))),X41),X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_235])])]) ).
fof(c_0_439,plain,
! [X7,X8,X9,X10,X11,X12] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X11,X12),X7),X9))
| hBOOL(hAPP(hAPP(X11,X8),X10))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X11,X12),c_List_Olist_OCons(X8,X7,X12)),c_List_Olist_OCons(X10,X9,X12))) ),
inference(variable_rename,[status(thm)],[c_0_236]) ).
fof(c_0_440,plain,
! [X7,X8,X9,X10,X11,X12] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X11,X12),X7),X9))
| X9 = X7
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X11,X12),c_List_Olist_OCons(X8,X7,X12)),c_List_Olist_OCons(X10,X9,X12))) ),
inference(variable_rename,[status(thm)],[c_0_237]) ).
fof(c_0_441,plain,
! [X7,X8,X9,X10,X11,X12] :
( X10 = X8
| hBOOL(hAPP(hAPP(X11,X8),X10))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X11,X12),c_List_Olist_OCons(X8,X7,X12)),c_List_Olist_OCons(X10,X9,X12))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_238])])]) ).
fof(c_0_442,plain,
! [X40,X41,X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X43,X42,tc_fun(X45,tc_fun(X44,tc_bool))),X41),X40))
| ~ hBOOL(hAPP(hAPP(X42,X41),X40))
| ~ hBOOL(hAPP(hAPP(X43,X41),X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_239])])]) ).
fof(c_0_443,plain,
! [X7,X8,X9,X10] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X9,X10,X10),X10),X8),X7))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X9,X10),X7),X8)) ),
inference(variable_rename,[status(thm)],[c_0_240]) ).
fof(c_0_444,plain,
! [X20,X21] : hAPP(hAPP(c_Lambda_OdB_OApp,X21),X20) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X21),X20),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(variable_rename,[status(thm)],[c_0_241]) ).
fof(c_0_445,plain,
! [X7,X8,X9,X10,X11,X12] :
( X10 = X8
| X9 = X7
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X11,X12),c_List_Olist_OCons(X8,X7,X12)),c_List_Olist_OCons(X10,X9,X12))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_242])])]) ).
fof(c_0_446,plain,
! [X26,X27,X28,X29,X30,X31] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X27,X26,X28)))
| ~ c_Type_Otyping(X29,X26,X30)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X26))
| ~ c_Type_Otyping(c_Type_Oshift(X29,X28,X30,tc_Type_Otype),X27,X31)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_243])])]) ).
fof(c_0_447,plain,
! [X40,X41,X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X43,X42,tc_fun(X45,tc_fun(X44,tc_bool))),X41),X40))
| ~ hBOOL(hAPP(hAPP(X43,X41),X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_244])])]) ).
fof(c_0_448,plain,
! [X40,X41,X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X43,X42,tc_fun(X45,tc_fun(X44,tc_bool))),X41),X40))
| ~ hBOOL(hAPP(hAPP(X42,X41),X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_245])])]) ).
fof(c_0_449,plain,
! [X36] : c_Lambda_OdB_OVar(X36) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X36),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(variable_rename,[status(thm)],[c_0_246]) ).
fof(c_0_450,plain,
! [X5] : c_Lambda_OdB_OAbs(X5) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X5),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(variable_rename,[status(thm)],[c_0_247]) ).
fof(c_0_451,plain,
! [X5] : c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X5),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X5),
inference(variable_rename,[status(thm)],[c_0_248]) ).
fof(c_0_452,plain,
! [X14,X15,X16,X17] : c_List_Ofoldl(X14,X15,c_List_Olist_ONil(X16),X17,X16) = X15,
inference(variable_rename,[status(thm)],[c_0_249]) ).
fof(c_0_453,plain,
! [X6,X7,X8,X9,X10] :
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X9,X10),c_List_Olist_OCons(X8,X6,X10)),c_List_Olist_OCons(X8,X7,X10)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X9,X10),X6),X7)) ),
inference(variable_rename,[status(thm)],[c_0_250]) ).
fof(c_0_454,plain,
! [X27,X28,X29,X30,X31,X32] :
( ~ c_Type_Otyping(X30,X27,X31)
| ~ c_Type_Otyping(c_Type_Oshift(X30,X29,X31,tc_Type_Otype),X28,X32)
| c_Type_Otyping(X30,c_Lambda_Osubst(X28,X27,X29),X32) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_251])])]) ).
fof(c_0_455,plain,
! [X32,X33,X34,X35] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X35),X33)),hAPP(hAPP(c_Lambda_OdB_OApp,X34),X32)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X33),X32))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X35),X34)) ),
inference(variable_rename,[status(thm)],[c_0_252]) ).
fof(c_0_456,plain,
! [X24,X25,X26,X27] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X26,X24,X27)),c_Lambda_Osubst(X25,X24,X27)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X26),X25)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_253])])]) ).
fof(c_0_457,plain,
! [X24,X25,X26,X27] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X24,X26,X27)),c_Lambda_Osubst(X24,X25,X27)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X26),X25)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_254])])]) ).
fof(c_0_458,plain,
! [X12,X13,X14,X15,X16] :
( ~ hBOOL(hAPP(hAPP(X15,X12),X13))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X15,X16),c_List_Olist_OCons(X12,X14,X16)),c_List_Olist_OCons(X13,X14,X16))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_255])])]) ).
fof(c_0_459,plain,
! [X23,X24,X25,X26] :
( c_Type_Otyping(X24,c_Lambda_OdB_OAbs(X23),c_Type_Otype_OFun(X26,X25))
| ~ c_Type_Otyping(c_Type_Oshift(X24,c_HOL_Ozero__class_Ozero(tc_nat),X26,tc_Type_Otype),X23,X25) ),
inference(variable_rename,[status(thm)],[c_0_256]) ).
fof(c_0_460,plain,
! [X24,X25,X26,X27] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X24,X26,X27)),c_Lambda_Osubst(X24,X25,X27)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X26),X25)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_257])])]) ).
fof(c_0_461,plain,
! [X6,X7,X8,X9] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X8,X9),tc_List_Olist(X9)),c_List_Olist_OCons(X7,X6,X9)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X8,X9),tc_List_Olist(X9)),X6))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X8,X9),X7)) ),
inference(variable_rename,[status(thm)],[c_0_258]) ).
fof(c_0_462,plain,
! [X42,X43,X44,X45,X46] :
( hBOOL(hAPP(hAPP(X42,X43),X44))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X42,X46,X45),X44),X43)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_259])])]) ).
fof(c_0_463,plain,
! [X56,X57,X58,X59,X60] :
( hBOOL(hAPP(hAPP(X56,X57),X58))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X56,X60,X59),X58),X57)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_260])])]) ).
fof(c_0_464,plain,
! [X32,X33,X34] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X34),X32)),hAPP(hAPP(c_Lambda_OdB_OApp,X33),X32)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X34),X33)) ),
inference(variable_rename,[status(thm)],[c_0_261]) ).
fof(c_0_465,plain,
! [X28,X29,X30] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X30),X29)),hAPP(hAPP(c_Lambda_OdB_OApp,X30),X28)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X29),X28)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_262])])]) ).
fof(c_0_466,plain,
! [X24,X25,X26,X27] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X26,X24,X27)),c_Lambda_Osubst(X25,X24,X27)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X26),X25)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_263])])]) ).
fof(c_0_467,plain,
! [X43,X44,X45,X46,X47] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X46,X47),X45),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X46,X47),X44),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X46,X47),X45),X44)) ),
inference(variable_rename,[status(thm)],[c_0_264]) ).
fof(c_0_468,plain,
! [X43,X44,X45,X46,X47] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X46,X47),X45),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X46,X47),X44),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X46,X47),X45),X44)) ),
inference(variable_rename,[status(thm)],[c_0_265]) ).
fof(c_0_469,plain,
! [X43,X44,X45,X46,X47] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X46,X47),X45),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X46,X47),X44),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X46,X47),X45),X44)) ),
inference(variable_rename,[status(thm)],[c_0_266]) ).
fof(c_0_470,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X46),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_267]) ).
fof(c_0_471,plain,
! [X5] :
( hBOOL(hAPP(c_InductTermi_OIT,X5))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X5)) ),
inference(variable_rename,[status(thm)],[c_0_268]) ).
fof(c_0_472,plain,
! [X20,X21] : hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X21)),X20)),c_Lambda_Osubst(X21,X20,c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(variable_rename,[status(thm)],[c_0_269]) ).
fof(c_0_473,plain,
! [X25,X26,X27,X28,X29] :
( c_Type_Otyping(c_Type_Oshift(X27,X26,X28,tc_Type_Otype),c_Lambda_Olift(X25,X26),X29)
| ~ c_Type_Otyping(X27,X25,X29) ),
inference(variable_rename,[status(thm)],[c_0_270]) ).
fof(c_0_474,plain,
! [X54,X55,X56,X57,X58] :
( hBOOL(hAPP(X57,X56))
| hBOOL(hAPP(X57,X54))
| ~ hBOOL(hAPP(hAPP(X55,X54),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X57,X55,X58)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X55,X58),X56)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_271])])]) ).
fof(c_0_475,plain,
! [X54,X55,X56,X57,X58] :
( hBOOL(hAPP(X57,X56))
| hBOOL(hAPP(X57,X54))
| ~ hBOOL(hAPP(hAPP(X55,X54),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X57,X55,X58)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X55,X58),X56)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_272])])]) ).
fof(c_0_476,plain,
! [X20,X21,X22,X23] : c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X21,X20,tc_fun(X22,tc_fun(X23,tc_bool))),X22,X23) = c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X21,X22,X23),c_Predicate_Oconversep(X20,X22,X23),tc_fun(X23,tc_fun(X22,tc_bool))),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_477,plain,
! [X20,X21,X22,X23] : c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X21,X20,tc_fun(X22,tc_fun(X23,tc_bool))),X22,X23) = c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X21,X22,X23),c_Predicate_Oconversep(X20,X22,X23),tc_fun(X23,tc_fun(X22,tc_bool))),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_478,plain,
! [X42,X43,X44,X45,X46] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X42,X46,X45),X44),X43))
| ~ hBOOL(hAPP(hAPP(X42,X43),X44)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_275])])]) ).
fof(c_0_479,plain,
! [X42,X43,X44,X45,X46] :
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X42,X46,X45),X43),X44))
| ~ hBOOL(hAPP(hAPP(X42,X44),X43)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_276])])]) ).
fof(c_0_480,plain,
! [X51,X52,X53] : c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(X52,X53),c_Transitive__Closure_Ortranclp(X51,X53),tc_fun(X53,tc_fun(X53,tc_bool))),X53) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X52,X51,tc_fun(X53,tc_fun(X53,tc_bool))),X53),
inference(variable_rename,[status(thm)],[c_0_277]) ).
fof(c_0_481,plain,
! [X26,X27,X28] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X28),X26)),hAPP(hAPP(c_Lambda_OdB_OApp,X27),X26)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X28),X27)) ),
inference(variable_rename,[status(thm)],[c_0_278]) ).
fof(c_0_482,plain,
! [X26,X27,X28] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X26),X28)),hAPP(hAPP(c_Lambda_OdB_OApp,X26),X27)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X28),X27)) ),
inference(variable_rename,[status(thm)],[c_0_279]) ).
fof(c_0_483,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X46),X45))
| ~ hBOOL(hAPP(hAPP(X44,X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_280]) ).
fof(c_0_484,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(X44,X46),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_281]) ).
fof(c_0_485,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(X44,X46),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_282]) ).
fof(c_0_486,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X46),X45))
| ~ hBOOL(hAPP(hAPP(X44,X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_283]) ).
fof(c_0_487,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(X44,X46),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_284]) ).
fof(c_0_488,plain,
! [X44,X45,X46,X47,X48] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X44,X48),X47),X45))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X44,X48),X46),X45))
| ~ hBOOL(hAPP(hAPP(X44,X47),X46)) ),
inference(variable_rename,[status(thm)],[c_0_285]) ).
fof(c_0_489,plain,
! [X6,X7,X8] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),X6))
| hBOOL(hAPP(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X7,X6,X8)),X6)) ),
inference(variable_rename,[status(thm)],[c_0_286]) ).
fof(c_0_490,plain,
! [X6,X7,X8] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),X6))
| hBOOL(hAPP(hAPP(X7,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X7,X6,X8)),X6)) ),
inference(variable_rename,[status(thm)],[c_0_287]) ).
fof(c_0_491,plain,
! [X50,X51,X52] :
( hBOOL(hAPP(hAPP(X51,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X51,X50,X52)),X50))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X51,X52),X50)) ),
inference(variable_rename,[status(thm)],[c_0_288]) ).
fof(c_0_492,plain,
! [X24,X25,X26] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X25,X26)),c_Lambda_Olift(X24,X26)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X25),X24)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_289])])]) ).
fof(c_0_493,plain,
! [X6,X7,X8] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),X6))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X7,X6,X8))) ),
inference(variable_rename,[status(thm)],[c_0_290]) ).
fof(c_0_494,plain,
! [X6,X7,X8] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),X6))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X7,X6,X8))) ),
inference(variable_rename,[status(thm)],[c_0_291]) ).
fof(c_0_495,plain,
! [X50,X51,X52] :
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X51,X52),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X51,X50,X52)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X51,X52),X50)) ),
inference(variable_rename,[status(thm)],[c_0_292]) ).
fof(c_0_496,plain,
! [X54,X55,X56,X57] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X56,X54,X57)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X54,X57),X55)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_293])])]) ).
fof(c_0_497,plain,
! [X54,X55,X56,X57] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X56,X54,X57)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X54,X57),X55)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_294])])]) ).
fof(c_0_498,plain,
! [X15] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X15))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X15)) ),
inference(variable_rename,[status(thm)],[c_0_295]) ).
fof(c_0_499,plain,
! [X25,X26,X27,X28] : hAPP(c_Type_Oshift(X26,X25,X27,X28),X25) = X27,
inference(variable_rename,[status(thm)],[c_0_296]) ).
fof(c_0_500,plain,
! [X42,X43,X44,X45] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X42,X45),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X42,X45),X43),X44))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X42,X45),X44)) ),
inference(variable_rename,[status(thm)],[c_0_297]) ).
fof(c_0_501,plain,
! [X42,X43,X44,X45] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X42,X45),X43))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X42,X45),X44))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X42,X45),X43),X44)) ),
inference(variable_rename,[status(thm)],[c_0_298]) ).
fof(c_0_502,plain,
! [X41,X42,X43,X44] : c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X42),X41),X43,X44) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X42,X43,X44)),c_Lambda_Osubst(X41,X43,X44)),
inference(variable_rename,[status(thm)],[c_0_299]) ).
fof(c_0_503,plain,
! [X50,X51,X52,X53] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X52,X53),X51),X50))
| X51 = X50
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X52,X53),X51),X50)) ),
inference(variable_rename,[status(thm)],[c_0_300]) ).
fof(c_0_504,plain,
! [X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X42,X45),X44),X43))
| X44 = X43
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X42,X45),X44),X43)) ),
inference(variable_rename,[status(thm)],[c_0_301]) ).
fof(c_0_505,plain,
! [X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X42,X45),X44),X43))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X42,X45),X44),X43)) ),
inference(variable_rename,[status(thm)],[c_0_302]) ).
fof(c_0_506,plain,
! [X54,X55,X56,X57] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X54,X57),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X56,X54,X57)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X54,X57),X55)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_303])])]) ).
fof(c_0_507,plain,
! [X54,X55,X56,X57] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X54,X57),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X56,X54,X57)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X54,X57),X55)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_304])])]) ).
fof(c_0_508,plain,
! [X32,X33] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X33)),c_Lambda_OdB_OAbs(X32)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X33),X32)) ),
inference(variable_rename,[status(thm)],[c_0_305]) ).
fof(c_0_509,plain,
! [X57,X58,X59,X60] :
( hBOOL(hAPP(X60,X58))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X59,t_a),X57))
| ~ hBOOL(hAPP(hAPP(X59,X57),v_sko__Wellfounded__Xaccp__Xinduct__1(X60,X59)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X59,t_a),X58)) ),
inference(variable_rename,[status(thm)],[c_0_306]) ).
fof(c_0_510,plain,
! [X57,X58,X59,X60] :
( hBOOL(hAPP(X60,X58))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X59,t_a),X57))
| ~ hBOOL(hAPP(hAPP(X59,X57),v_sko__Wellfounded__Xaccp__Xinducts__1(X60,X59)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X59,t_a),X58)) ),
inference(variable_rename,[status(thm)],[c_0_307]) ).
fof(c_0_511,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Odistrib__lattice(X46)
| c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Olower__semilattice__class_Oinf(X44,X43,X46),X46) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X46),c_Lattices_Oupper__semilattice__class_Osup(X45,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_308]) ).
fof(c_0_512,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Odistrib__lattice(X46)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X44,X43,X46),X45,X46) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X44,X45,X46),c_Lattices_Oupper__semilattice__class_Osup(X43,X45,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_309]) ).
fof(c_0_513,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Odistrib__lattice(X46)
| c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Oupper__semilattice__class_Osup(X44,X43,X46),X46) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X46),c_Lattices_Olower__semilattice__class_Oinf(X45,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_310]) ).
fof(c_0_514,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Odistrib__lattice(X46)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X44,X43,X46),X45,X46) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X44,X45,X46),c_Lattices_Olower__semilattice__class_Oinf(X43,X45,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_311]) ).
fof(c_0_515,plain,
! [X6,X7,X8] :
( c_List_Olistsp(c_Wellfounded_Oaccp(X7,X8),X6,X8)
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X7,X8),tc_List_Olist(X8)),X6)) ),
inference(variable_rename,[status(thm)],[c_0_312]) ).
fof(c_0_516,plain,
! [X28,X29,X30,X31] :
( c_Type_Otyping(X30,X28,X31)
| ~ c_Type_Otyping(X30,X29,X31)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X29),X28)) ),
inference(variable_rename,[status(thm)],[c_0_313]) ).
fof(c_0_517,plain,
! [X54,X55,X56,X57] :
( hBOOL(hAPP(X57,X55))
| hBOOL(hAPP(X57,X54))
| ~ hBOOL(hAPP(hAPP(X56,X54),v_sko__Wellfounded__Xaccp__Xinduct__1(X57,X56)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X56,t_a),X55)) ),
inference(variable_rename,[status(thm)],[c_0_314]) ).
fof(c_0_518,plain,
! [X54,X55,X56,X57] :
( hBOOL(hAPP(X57,X55))
| hBOOL(hAPP(X57,X54))
| ~ hBOOL(hAPP(hAPP(X56,X54),v_sko__Wellfounded__Xaccp__Xinducts__1(X57,X56)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X56,t_a),X55)) ),
inference(variable_rename,[status(thm)],[c_0_315]) ).
fof(c_0_519,plain,
! [X24,X25,X26] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X25,X26)),c_Lambda_Olift(X24,X26)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X25),X24)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_316])])]) ).
fof(c_0_520,plain,
! [X11,X12,X13,X14] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X12,X14),X11))
| ~ hBOOL(hAPP(hAPP(X12,X11),X13))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X12,X14),X13)) ),
inference(variable_rename,[status(thm)],[c_0_317]) ).
fof(c_0_521,plain,
! [X42,X43,X44,X45] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X42,X45),X44))
| ~ hBOOL(hAPP(hAPP(X42,X44),X43))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X42,X45),X43)) ),
inference(variable_rename,[status(thm)],[c_0_318]) ).
fof(c_0_522,plain,
! [X23,X24,X25,X26,X27] :
( c_Type_Otyping(X25,hAPP(hAPP(c_Lambda_OdB_OApp,X24),X23),X26)
| ~ c_Type_Otyping(X25,X23,X27)
| ~ c_Type_Otyping(X25,X24,c_Type_Otype_OFun(X27,X26)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_319])])]) ).
fof(c_0_523,plain,
! [X6,X7,X8] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X7,X8),tc_List_Olist(X8)),X6))
| ~ c_List_Olistsp(c_Wellfounded_Oaccp(X7,X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_320]) ).
fof(c_0_524,plain,
! [X6,X7,X8] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X7,X8),c_List_Olist_ONil(X8)),X6)),
inference(variable_rename,[status(thm)],[c_0_321]) ).
fof(c_0_525,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Olower__semilattice(X46)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X46),X43,X46) = c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Olower__semilattice__class_Oinf(X44,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_322]) ).
fof(c_0_526,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Olower__semilattice(X46)
| c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Olower__semilattice__class_Oinf(X44,X43,X46),X46) = c_Lattices_Olower__semilattice__class_Oinf(X44,c_Lattices_Olower__semilattice__class_Oinf(X45,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_323]) ).
fof(c_0_527,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Olattice(X46)
| c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Olower__semilattice__class_Oinf(X44,X43,X46),X46) = c_Lattices_Olower__semilattice__class_Oinf(X44,c_Lattices_Olower__semilattice__class_Oinf(X45,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_324]) ).
fof(c_0_528,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Olattice(X46)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X46),X43,X46) = c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Olower__semilattice__class_Oinf(X44,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_325]) ).
fof(c_0_529,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Oupper__semilattice(X46)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X46),X43,X46) = c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Oupper__semilattice__class_Osup(X44,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_326]) ).
fof(c_0_530,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Oupper__semilattice(X46)
| c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Oupper__semilattice__class_Osup(X44,X43,X46),X46) = c_Lattices_Oupper__semilattice__class_Osup(X44,c_Lattices_Oupper__semilattice__class_Osup(X45,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_327]) ).
fof(c_0_531,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Olattice(X46)
| c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Oupper__semilattice__class_Osup(X44,X43,X46),X46) = c_Lattices_Oupper__semilattice__class_Osup(X44,c_Lattices_Oupper__semilattice__class_Osup(X45,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_532,plain,
! [X43,X44,X45,X46] :
( ~ class_Lattices_Olattice(X46)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X46),X43,X46) = c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Oupper__semilattice__class_Osup(X44,X43,X46),X46) ),
inference(variable_rename,[status(thm)],[c_0_329]) ).
fof(c_0_533,plain,
! [X7,X8,X9,X10] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X9,X10),X8),X7))
| ~ hBOOL(hAPP(hAPP(X9,X8),X7)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_330])])]) ).
fof(c_0_534,plain,
! [X42,X43,X44,X45] :
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X42,X45),X44),X43))
| ~ hBOOL(hAPP(hAPP(X42,X44),X43)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_331])])]) ).
fof(c_0_535,plain,
! [X6,X7,X8] : ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X7,X8),X6),c_List_Olist_ONil(X8))),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_536,plain,
! [X52,X53,X54] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X52,c_Lambda_OdB_OVar(X54),X53)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X52)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_333])])]) ).
fof(c_0_537,plain,
! [X50,X51] : c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X50,c_fequal(X51),tc_fun(X51,tc_fun(X51,tc_bool))),X51) = c_Transitive__Closure_Ortranclp(X50,X51),
inference(variable_rename,[status(thm)],[c_0_334]) ).
fof(c_0_538,plain,
! [X54,X55,X56] :
( hBOOL(hAPP(X56,X54))
| ~ hBOOL(hAPP(X56,v_sko__Wellfounded__Xaccp__Xinduct__1(X56,X55)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X55,t_a),X54)) ),
inference(variable_rename,[status(thm)],[c_0_335]) ).
fof(c_0_539,plain,
! [X54,X55,X56] :
( hBOOL(hAPP(X56,X54))
| ~ hBOOL(hAPP(X56,v_sko__Wellfounded__Xaccp__Xinducts__1(X56,X55)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X55,t_a),X54)) ),
inference(variable_rename,[status(thm)],[c_0_336]) ).
fof(c_0_540,plain,
! [X28,X29,X30,X31] :
( c_Type_Otyping(X30,X28,X31)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X29),X28))
| ~ c_Type_Otyping(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_337]) ).
fof(c_0_541,plain,
! [X24,X25] :
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X24),c_Lambda_OdB_OVar(X25))))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X24)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_338])])]) ).
fof(c_0_542,plain,
! [X20,X21] :
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X21)),c_Lambda_OdB_OAbs(X20)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X21),X20)) ),
inference(variable_rename,[status(thm)],[c_0_339]) ).
fof(c_0_543,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_340]) ).
fof(c_0_544,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_341]) ).
fof(c_0_545,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X9)
| c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9) = c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_342]) ).
fof(c_0_546,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9) = c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_343]) ).
fof(c_0_547,plain,
! [X6,X7] : c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X6,X7,X7),X7) = c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X6,X7),X7,X7),
inference(variable_rename,[status(thm)],[c_0_344]) ).
fof(c_0_548,plain,
! [X41,X42,X43] : c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X42),X41),X43) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X42,X43)),c_Lambda_Olift(X41,X43)),
inference(variable_rename,[status(thm)],[c_0_345]) ).
fof(c_0_549,plain,
! [X6,X7,X8] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X7,X8),X6),X6)),
inference(variable_rename,[status(thm)],[c_0_346]) ).
fof(c_0_550,plain,
! [X11,X12,X13] : hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X11,X13),X12),X12)),
inference(variable_rename,[status(thm)],[c_0_347]) ).
fof(c_0_551,plain,
! [X11,X12,X13,X14,X15] :
( c_List_Olist_OCons(X14,X12,X15) != c_List_Olist_OCons(X13,X11,X15)
| X14 = X13 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_348])])]) ).
fof(c_0_552,plain,
! [X11,X12,X13,X14,X15] :
( c_List_Olist_OCons(X14,X12,X15) != c_List_Olist_OCons(X13,X11,X15)
| X12 = X11 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_349])])]) ).
fof(c_0_553,plain,
! [X6,X7] : c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X6,X7),c_fequal(X7),tc_fun(X7,tc_fun(X7,tc_bool))) = c_Transitive__Closure_Ortranclp(X6,X7),
inference(variable_rename,[status(thm)],[c_0_350]) ).
fof(c_0_554,plain,
! [X61,X62,X63] :
( X62 = X61
| ~ hBOOL(hAPP(hAPP(c_fequal(X63),X62),X61)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_351])])]) ).
fof(c_0_555,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X9) = X8 ),
inference(variable_rename,[status(thm)],[c_0_352]) ).
fof(c_0_556,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) = X8 ),
inference(variable_rename,[status(thm)],[c_0_353]) ).
fof(c_0_557,plain,
! [X14,X15,X16] : c_Predicate_Oconversep(c_Predicate_Oconversep(X14,X16,X15),X15,X16) = X14,
inference(variable_rename,[status(thm)],[c_0_354]) ).
fof(c_0_558,plain,
! [X24,X25] : ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X25)),X24)),
inference(variable_rename,[status(thm)],[c_0_355]) ).
fof(c_0_559,plain,
! [X24,X25] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X24,X25)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X24)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_356])])]) ).
fof(c_0_560,plain,
! [X49,X50,X51,X52] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X52),X50) != hAPP(hAPP(c_Lambda_OdB_OApp,X51),X49)
| X52 = X51 ),
inference(variable_rename,[status(thm)],[c_0_357]) ).
fof(c_0_561,plain,
! [X49,X50,X51,X52] :
( hAPP(hAPP(c_Lambda_OdB_OApp,X52),X50) != hAPP(hAPP(c_Lambda_OdB_OApp,X51),X49)
| X50 = X49 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_358])])]) ).
fof(c_0_562,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) = c_Lattices_Olower__semilattice__class_Oinf(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_359]) ).
fof(c_0_563,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) = c_Lattices_Olower__semilattice__class_Oinf(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_360]) ).
fof(c_0_564,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Oupper__semilattice(X9)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9) = c_Lattices_Oupper__semilattice__class_Osup(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_361]) ).
fof(c_0_565,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9) = c_Lattices_Oupper__semilattice__class_Osup(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_362]) ).
fof(c_0_566,plain,
! [X25,X26,X27] :
( hBOOL(hAPP(c_InductTermi_OIT,X25))
| ~ c_Type_Otyping(X26,X25,X27) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_363])])]) ).
fof(c_0_567,plain,
! [X25,X26,X27] :
( hAPP(X26,X25) = X27
| ~ c_Type_Otyping(X26,c_Lambda_OdB_OVar(X25),X27) ),
inference(variable_rename,[status(thm)],[c_0_364]) ).
fof(c_0_568,plain,
! [X6,X7] : hBOOL(hAPP(hAPP(c_fequal(X7),X6),X6)),
inference(variable_rename,[status(thm)],[c_0_365]) ).
fof(c_0_569,plain,
! [X6,X7,X8] :
( hBOOL(hAPP(c_Wellfounded_Oaccp(X7,X8),X6))
| ~ c_Wellfounded_OwfP(X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_366]) ).
fof(c_0_570,plain,
! [X10,X11,X12] : c_List_Olist_OCons(X11,X10,X12) != c_List_Olist_ONil(X12),
inference(variable_rename,[status(thm)],[c_0_367]) ).
fof(c_0_571,plain,
! [X12,X13,X14] : c_List_Olist_OCons(X13,X12,X14) != c_List_Olist_ONil(X14),
inference(variable_rename,[status(thm)],[c_0_368]) ).
fof(c_0_572,plain,
! [X10,X11,X12] : c_List_Olist_ONil(X12) != c_List_Olist_OCons(X11,X10,X12),
inference(variable_rename,[status(thm)],[c_0_369]) ).
fof(c_0_573,plain,
! [X6,X7,X8] : X6 != c_List_Olist_OCons(X7,X6,X8),
inference(variable_rename,[status(thm)],[c_0_370]) ).
fof(c_0_574,plain,
! [X15,X16,X17] : c_List_Olist_OCons(X15,X16,X17) != X16,
inference(variable_rename,[status(thm)],[c_0_371]) ).
fof(c_0_575,plain,
! [X21,X22] : c_Type_Otyping(X22,c_Lambda_OdB_OVar(X21),hAPP(X22,X21)),
inference(variable_rename,[status(thm)],[c_0_372]) ).
fof(c_0_576,plain,
! [X5] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X5)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X5)) ),
inference(variable_rename,[status(thm)],[c_0_373]) ).
fof(c_0_577,plain,
! [X41,X42,X43] : c_Lambda_Osubst(c_Lambda_Olift(X41,X43),X42,X43) = X41,
inference(variable_rename,[status(thm)],[c_0_374]) ).
fof(c_0_578,plain,
! [X6] : c_Predicate_Oconversep(c_fequal(X6),X6,X6) = c_fequal(X6),
inference(variable_rename,[status(thm)],[c_0_375]) ).
fof(c_0_579,plain,
! [X49,X50,X51] : hAPP(hAPP(c_Lambda_OdB_OApp,X51),X50) != c_Lambda_OdB_OAbs(X49),
inference(variable_rename,[status(thm)],[c_0_376]) ).
fof(c_0_580,plain,
! [X49,X50,X51] : c_Lambda_OdB_OAbs(X49) != hAPP(hAPP(c_Lambda_OdB_OApp,X51),X50),
inference(variable_rename,[status(thm)],[c_0_377]) ).
fof(c_0_581,plain,
! [X39,X40,X41] : c_Lambda_OdB_OVar(X39) != hAPP(hAPP(c_Lambda_OdB_OApp,X41),X40),
inference(variable_rename,[status(thm)],[c_0_378]) ).
fof(c_0_582,plain,
! [X39,X40,X41] : hAPP(hAPP(c_Lambda_OdB_OApp,X41),X40) != c_Lambda_OdB_OVar(X39),
inference(variable_rename,[status(thm)],[c_0_379]) ).
fof(c_0_583,plain,
! [X6,X7] :
( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X6,X7),X7)
| ~ c_Wellfounded_OwfP(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_380]) ).
fof(c_0_584,plain,
! [X6,X7] :
( ~ class_Lattices_Olower__semilattice(X7)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X6,X7) = X6 ),
inference(variable_rename,[status(thm)],[c_0_381]) ).
fof(c_0_585,plain,
! [X6,X7] :
( ~ class_Lattices_Oupper__semilattice(X7)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X6,X7) = X6 ),
inference(variable_rename,[status(thm)],[c_0_382]) ).
fof(c_0_586,plain,
! [X41,X42] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X42),X41,X42) = X41,
inference(variable_rename,[status(thm)],[c_0_383]) ).
fof(c_0_587,plain,
! [X33,X34] : c_List_Olistsp(X33,c_List_Olist_ONil(X34),X34),
inference(variable_rename,[status(thm)],[c_0_384]) ).
fof(c_0_588,plain,
! [X6,X7] : c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X6,X7),X7) = c_Transitive__Closure_Ortranclp(X6,X7),
inference(variable_rename,[status(thm)],[c_0_385]) ).
fof(c_0_589,plain,
! [X19,X20,X21,X22] :
( c_Type_Otype_OFun(X22,X20) != c_Type_Otype_OFun(X21,X19)
| X22 = X21 ),
inference(variable_rename,[status(thm)],[c_0_386]) ).
fof(c_0_590,plain,
! [X19,X20,X21,X22] :
( c_Type_Otype_OFun(X22,X20) != c_Type_Otype_OFun(X21,X19)
| X20 = X19 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_387])])]) ).
fof(c_0_591,plain,
! [X31] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X31))),
inference(variable_rename,[status(thm)],[c_0_388]) ).
fof(c_0_592,plain,
! [X59,X60] :
( class_Lattices_Olattice(tc_fun(X59,X60))
| ~ class_Lattices_Olattice(X60) ),
inference(variable_rename,[status(thm)],[c_0_389]) ).
fof(c_0_593,plain,
! [X59,X60] :
( class_Lattices_Odistrib__lattice(tc_fun(X59,X60))
| ~ class_Lattices_Odistrib__lattice(X60) ),
inference(variable_rename,[status(thm)],[c_0_390]) ).
fof(c_0_594,plain,
! [X59,X60] :
( class_Lattices_Olower__semilattice(tc_fun(X59,X60))
| ~ class_Lattices_Olattice(X60) ),
inference(variable_rename,[status(thm)],[c_0_391]) ).
fof(c_0_595,plain,
! [X59,X60] :
( class_Lattices_Oupper__semilattice(tc_fun(X59,X60))
| ~ class_Lattices_Olattice(X60) ),
inference(variable_rename,[status(thm)],[c_0_392]) ).
fof(c_0_596,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
c_0_393 ).
fof(c_0_597,plain,
! [X53,X54] :
( c_Lambda_OdB_OVar(X54) != c_Lambda_OdB_OVar(X53)
| X54 = X53 ),
inference(variable_rename,[status(thm)],[c_0_394]) ).
fof(c_0_598,plain,
! [X47,X48] :
( c_Lambda_OdB_OAbs(X48) != c_Lambda_OdB_OAbs(X47)
| X48 = X47 ),
inference(variable_rename,[status(thm)],[c_0_395]) ).
fof(c_0_599,plain,
! [X46,X47] : c_Lambda_OdB_OAbs(X47) != c_Lambda_OdB_OVar(X46),
inference(variable_rename,[status(thm)],[c_0_396]) ).
fof(c_0_600,plain,
! [X46,X47] : c_Lambda_OdB_OVar(X46) != c_Lambda_OdB_OAbs(X47),
inference(variable_rename,[status(thm)],[c_0_397]) ).
fof(c_0_601,axiom,
class_Lattices_Olattice(tc_bool),
c_0_398 ).
fof(c_0_602,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
c_0_399 ).
fof(c_0_603,axiom,
class_Lattices_Olower__semilattice(tc_bool),
c_0_400 ).
fof(c_0_604,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
c_0_401 ).
fof(c_0_605,axiom,
class_Lattices_Olattice(tc_nat),
c_0_402 ).
fof(c_0_606,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
c_0_403 ).
fof(c_0_607,axiom,
class_Lattices_Olower__semilattice(tc_nat),
c_0_404 ).
fof(c_0_608,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
c_0_405 ).
cnf(c_0_609,plain,
( X3 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_406]) ).
cnf(c_0_610,plain,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X2),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_407]) ).
cnf(c_0_611,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(split_conjunct,[status(thm)],[c_0_408]) ).
cnf(c_0_612,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_613,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_410]) ).
cnf(c_0_614,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_411]) ).
cnf(c_0_615,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_412]) ).
cnf(c_0_616,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X4,X6,X7,X8),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_413]) ).
cnf(c_0_617,plain,
( X4 = X5
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_618,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_619,plain,
c_Predicate_Oconversep(c_Predicate_Opred__comp(X1,X2,X3,X4,X5),X3,X5) = c_Predicate_Opred__comp(c_Predicate_Oconversep(X2,X4,X5),c_Predicate_Oconversep(X1,X3,X4),X5,X4,X3),
inference(split_conjunct,[status(thm)],[c_0_416]) ).
cnf(c_0_620,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_417]) ).
cnf(c_0_621,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_418]) ).
cnf(c_0_622,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_419]) ).
cnf(c_0_623,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_420]) ).
cnf(c_0_624,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),
inference(split_conjunct,[status(thm)],[c_0_421]) ).
cnf(c_0_625,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_422]) ).
cnf(c_0_626,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| X2 = c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X4,X3,X1),tc_Lambda_OdB,tc_Lambda_OdB)
| hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_423]) ).
cnf(c_0_627,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
inference(split_conjunct,[status(thm)],[c_0_424]) ).
cnf(c_0_628,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_425]) ).
cnf(c_0_629,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_426]) ).
cnf(c_0_630,plain,
( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_427]) ).
cnf(c_0_631,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),
inference(split_conjunct,[status(thm)],[c_0_428]) ).
cnf(c_0_632,plain,
( X1 = c_Lambda_OdB_OAbs(X2)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_429]) ).
cnf(c_0_633,plain,
( c_Lambda_OdB_OVar(X1) = X2
| c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_430]) ).
cnf(c_0_634,plain,
( c_Lambda_OdB_OAbs(X1) = X2
| c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_431]) ).
cnf(c_0_635,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_432]) ).
cnf(c_0_636,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(split_conjunct,[status(thm)],[c_0_433]) ).
cnf(c_0_637,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_434]) ).
cnf(c_0_638,plain,
( hBOOL(hAPP(hAPP(X1,X5),X6))
| hBOOL(hAPP(hAPP(X2,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_435]) ).
cnf(c_0_639,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_436]) ).
cnf(c_0_640,plain,
( hBOOL(hAPP(hAPP(X2,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_437]) ).
cnf(c_0_641,plain,
( hBOOL(hAPP(hAPP(X1,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(split_conjunct,[status(thm)],[c_0_438]) ).
cnf(c_0_642,plain,
( hBOOL(hAPP(hAPP(X1,X3),X5))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_439]) ).
cnf(c_0_643,plain,
( X6 = X4
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_440]) ).
cnf(c_0_644,plain,
( hBOOL(hAPP(hAPP(X1,X3),X5))
| X5 = X3
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_441]) ).
cnf(c_0_645,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_442]) ).
cnf(c_0_646,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_443]) ).
cnf(c_0_647,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(split_conjunct,[status(thm)],[c_0_444]) ).
cnf(c_0_648,plain,
( X6 = X4
| X5 = X3
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_445]) ).
cnf(c_0_649,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(X2,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_446]) ).
cnf(c_0_650,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_447]) ).
cnf(c_0_651,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_448]) ).
cnf(c_0_652,plain,
c_Lambda_OdB_OVar(X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(split_conjunct,[status(thm)],[c_0_449]) ).
cnf(c_0_653,plain,
c_Lambda_OdB_OAbs(X1) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),
inference(split_conjunct,[status(thm)],[c_0_450]) ).
cnf(c_0_654,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X1),
inference(split_conjunct,[status(thm)],[c_0_451]) ).
cnf(c_0_655,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_452]) ).
cnf(c_0_656,plain,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X5,X3,X2)),c_List_Olist_OCons(X5,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_657,plain,
( c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
| ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
| ~ c_Type_Otyping(X1,X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_454]) ).
cnf(c_0_658,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_659,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_456]) ).
cnf(c_0_660,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_661,plain,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X4,X2)))
| ~ hBOOL(hAPP(hAPP(X1,X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_458]) ).
cnf(c_0_662,plain,
( c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),c_Type_Otype_OFun(X2,X4))
| ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_459]) ).
cnf(c_0_663,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_664,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),c_List_Olist_OCons(X3,X4,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_461]) ).
cnf(c_0_665,plain,
( hBOOL(hAPP(hAPP(X1,X5),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_462]) ).
cnf(c_0_666,plain,
( hBOOL(hAPP(hAPP(X1,X5),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_463]) ).
cnf(c_0_667,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_464]) ).
cnf(c_0_668,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_465]) ).
cnf(c_0_669,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_466]) ).
cnf(c_0_670,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_467]) ).
cnf(c_0_671,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_468]) ).
cnf(c_0_672,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_469]) ).
cnf(c_0_673,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_470]) ).
cnf(c_0_674,plain,
( hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_675,plain,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(split_conjunct,[status(thm)],[c_0_472]) ).
cnf(c_0_676,plain,
( c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3)
| ~ c_Type_Otyping(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_473]) ).
cnf(c_0_677,plain,
( hBOOL(hAPP(X5,X4))
| hBOOL(hAPP(X5,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X5,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_678,plain,
( hBOOL(hAPP(X5,X4))
| hBOOL(hAPP(X5,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X5,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_475]) ).
cnf(c_0_679,plain,
c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X1,X3,X4),c_Predicate_Oconversep(X2,X3,X4),tc_fun(X4,tc_fun(X3,tc_bool))),
inference(split_conjunct,[status(thm)],[c_0_476]) ).
cnf(c_0_680,plain,
c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X1,X3,X4),c_Predicate_Oconversep(X2,X3,X4),tc_fun(X4,tc_fun(X3,tc_bool))),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_681,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_478]) ).
cnf(c_0_682,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_479]) ).
cnf(c_0_683,plain,
c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(X1,X2),c_Transitive__Closure_Ortranclp(X3,X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_fun(X2,tc_bool))),X2),
inference(split_conjunct,[status(thm)],[c_0_480]) ).
cnf(c_0_684,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_481]) ).
cnf(c_0_685,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_482]) ).
cnf(c_0_686,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_483]) ).
cnf(c_0_687,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_484]) ).
cnf(c_0_688,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_485]) ).
cnf(c_0_689,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_486]) ).
cnf(c_0_690,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_487]) ).
cnf(c_0_691,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_488]) ).
cnf(c_0_692,plain,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_489]) ).
cnf(c_0_693,plain,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_490]) ).
cnf(c_0_694,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_695,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_492]) ).
cnf(c_0_696,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_493]) ).
cnf(c_0_697,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_494]) ).
cnf(c_0_698,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_699,plain,
( hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_496]) ).
cnf(c_0_700,plain,
( hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_497]) ).
cnf(c_0_701,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_498]) ).
cnf(c_0_702,plain,
hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_499]) ).
cnf(c_0_703,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_500]) ).
cnf(c_0_704,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_501]) ).
cnf(c_0_705,plain,
c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3,X4) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_706,plain,
( X3 = X4
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_503]) ).
cnf(c_0_707,plain,
( X3 = X4
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_504]) ).
cnf(c_0_708,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_505]) ).
cnf(c_0_709,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2)))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_710,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2)))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_507]) ).
cnf(c_0_711,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_508]) ).
cnf(c_0_712,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_509]) ).
cnf(c_0_713,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_510]) ).
cnf(c_0_714,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_511]) ).
cnf(c_0_715,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_512]) ).
cnf(c_0_716,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_513]) ).
cnf(c_0_717,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_514]) ).
cnf(c_0_718,plain,
( c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2)
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_515]) ).
cnf(c_0_719,plain,
( c_Type_Otyping(X3,X2,X4)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| ~ c_Type_Otyping(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_516]) ).
cnf(c_0_720,plain,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_721,plain,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_722,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_519]) ).
cnf(c_0_723,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_520]) ).
cnf(c_0_724,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_725,plain,
( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
| ~ c_Type_Otyping(X1,X2,c_Type_Otype_OFun(X3,X4))
| ~ c_Type_Otyping(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_522]) ).
cnf(c_0_726,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3))
| ~ c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_727,plain,
~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_ONil(X2)),X3)),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_728,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_525]) ).
cnf(c_0_729,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_526]) ).
cnf(c_0_730,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_527]) ).
cnf(c_0_731,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_528]) ).
cnf(c_0_732,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_529]) ).
cnf(c_0_733,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_530]) ).
cnf(c_0_734,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_531]) ).
cnf(c_0_735,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_532]) ).
cnf(c_0_736,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_533]) ).
cnf(c_0_737,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_534]) ).
cnf(c_0_738,plain,
~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),c_List_Olist_ONil(X2))),
inference(split_conjunct,[status(thm)],[c_0_535]) ).
cnf(c_0_739,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_740,plain,
c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_537]) ).
cnf(c_0_741,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_742,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_539]) ).
cnf(c_0_743,plain,
( c_Type_Otyping(X1,X4,X3)
| ~ c_Type_Otyping(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_744,plain,
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_745,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_542]) ).
cnf(c_0_746,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_543]) ).
cnf(c_0_747,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_544]) ).
cnf(c_0_748,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_749,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_546]) ).
cnf(c_0_750,plain,
c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2) = c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),
inference(split_conjunct,[status(thm)],[c_0_547]) ).
cnf(c_0_751,plain,
c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_548]) ).
cnf(c_0_752,plain,
hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)),
inference(split_conjunct,[status(thm)],[c_0_549]) ).
cnf(c_0_753,plain,
hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)),
inference(split_conjunct,[status(thm)],[c_0_550]) ).
cnf(c_0_754,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_551]) ).
cnf(c_0_755,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_552]) ).
cnf(c_0_756,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))) = c_Transitive__Closure_Ortranclp(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_553]) ).
cnf(c_0_757,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_554]) ).
cnf(c_0_758,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_555]) ).
cnf(c_0_759,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_556]) ).
cnf(c_0_760,plain,
c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_557]) ).
cnf(c_0_761,plain,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)),
inference(split_conjunct,[status(thm)],[c_0_558]) ).
cnf(c_0_762,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_559]) ).
cnf(c_0_763,plain,
( X1 = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) ),
inference(split_conjunct,[status(thm)],[c_0_560]) ).
cnf(c_0_764,plain,
( X1 = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_765,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_562]) ).
cnf(c_0_766,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_767,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_768,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_769,plain,
( hBOOL(hAPP(c_InductTermi_OIT,X2))
| ~ c_Type_Otyping(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_566]) ).
cnf(c_0_770,plain,
( hAPP(X1,X2) = X3
| ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_771,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_568]) ).
cnf(c_0_772,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ c_Wellfounded_OwfP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_569]) ).
cnf(c_0_773,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_570]) ).
cnf(c_0_774,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_571]) ).
cnf(c_0_775,plain,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_572]) ).
cnf(c_0_776,plain,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(split_conjunct,[status(thm)],[c_0_573]) ).
cnf(c_0_777,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_778,plain,
c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_779,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_576]) ).
cnf(c_0_780,plain,
c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_577]) ).
cnf(c_0_781,plain,
c_Predicate_Oconversep(c_fequal(X1),X1,X1) = c_fequal(X1),
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_782,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_Lambda_OdB_OAbs(X3),
inference(split_conjunct,[status(thm)],[c_0_579]) ).
cnf(c_0_783,plain,
c_Lambda_OdB_OAbs(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_580]) ).
cnf(c_0_784,plain,
c_Lambda_OdB_OVar(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_581]) ).
cnf(c_0_785,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_Lambda_OdB_OVar(X3),
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_786,plain,
( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X1,X2),X2)
| ~ c_Wellfounded_OwfP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_583]) ).
cnf(c_0_787,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_788,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_789,plain,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_586]) ).
cnf(c_0_790,plain,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_587]) ).
cnf(c_0_791,plain,
c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_588]) ).
cnf(c_0_792,plain,
( X1 = X2
| c_Type_Otype_OFun(X1,X3) != c_Type_Otype_OFun(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_589]) ).
cnf(c_0_793,plain,
( X1 = X2
| c_Type_Otype_OFun(X3,X1) != c_Type_Otype_OFun(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_590]) ).
cnf(c_0_794,plain,
hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))),
inference(split_conjunct,[status(thm)],[c_0_591]) ).
cnf(c_0_795,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_592]) ).
cnf(c_0_796,plain,
( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_593]) ).
cnf(c_0_797,plain,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_594]) ).
cnf(c_0_798,plain,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_595]) ).
cnf(c_0_799,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_800,plain,
( X1 = X2
| c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2) ),
inference(split_conjunct,[status(thm)],[c_0_597]) ).
cnf(c_0_801,plain,
( X1 = X2
| c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_598]) ).
cnf(c_0_802,plain,
c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OVar(X2),
inference(split_conjunct,[status(thm)],[c_0_599]) ).
cnf(c_0_803,plain,
c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OAbs(X2),
inference(split_conjunct,[status(thm)],[c_0_600]) ).
cnf(c_0_804,plain,
class_Lattices_Olattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_805,plain,
class_Lattices_Odistrib__lattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_806,plain,
class_Lattices_Olower__semilattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_603]) ).
cnf(c_0_807,plain,
class_Lattices_Oupper__semilattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_604]) ).
cnf(c_0_808,plain,
class_Lattices_Olattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_605]) ).
cnf(c_0_809,plain,
class_Lattices_Odistrib__lattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_606]) ).
cnf(c_0_810,plain,
class_Lattices_Olower__semilattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_811,plain,
class_Lattices_Oupper__semilattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_608]) ).
cnf(c_0_812,plain,
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X3
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
c_0_609,
[final] ).
cnf(c_0_813,plain,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X2),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
c_0_610,
[final] ).
cnf(c_0_814,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
c_0_611,
[final] ).
cnf(c_0_815,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_612,
[final] ).
cnf(c_0_816,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_613,
[final] ).
cnf(c_0_817,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_614,
[final] ).
cnf(c_0_818,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
c_0_615,
[final] ).
cnf(c_0_819,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X4,X6,X7,X8),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X3),X5)) ),
c_0_616,
[final] ).
cnf(c_0_820,plain,
( X4 = X5
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
c_0_617,
[final] ).
cnf(c_0_821,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
c_0_618,
[final] ).
cnf(c_0_822,plain,
c_Predicate_Opred__comp(c_Predicate_Oconversep(X2,X4,X5),c_Predicate_Oconversep(X1,X3,X4),X5,X4,X3) = c_Predicate_Oconversep(c_Predicate_Opred__comp(X1,X2,X3,X4,X5),X3,X5),
c_0_619,
[final] ).
cnf(c_0_823,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_620,
[final] ).
cnf(c_0_824,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_621,
[final] ).
cnf(c_0_825,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_622,
[final] ).
cnf(c_0_826,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_623,
[final] ).
cnf(c_0_827,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),
c_0_624,
[final] ).
cnf(c_0_828,plain,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_625,
[final] ).
cnf(c_0_829,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X4,X3,X1),tc_Lambda_OdB,tc_Lambda_OdB) = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_626,
[final] ).
cnf(c_0_830,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
c_0_627,
[final] ).
cnf(c_0_831,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
c_0_628,
[final] ).
cnf(c_0_832,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4)) ),
c_0_629,
[final] ).
cnf(c_0_833,plain,
( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_630,
[final] ).
cnf(c_0_834,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),
c_0_631,
[final] ).
cnf(c_0_835,plain,
( X1 = c_Lambda_OdB_OAbs(X2)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
c_0_632,
[final] ).
cnf(c_0_836,plain,
( c_Lambda_OdB_OVar(X1) = X2
| c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_633,
[final] ).
cnf(c_0_837,plain,
( c_Lambda_OdB_OAbs(X1) = X2
| c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_634,
[final] ).
cnf(c_0_838,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_635,
[final] ).
cnf(c_0_839,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
c_0_636,
[final] ).
cnf(c_0_840,plain,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3) ),
c_0_637,
[final] ).
cnf(c_0_841,plain,
( hBOOL(hAPP(hAPP(X1,X5),X6))
| hBOOL(hAPP(hAPP(X2,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
c_0_638,
[final] ).
cnf(c_0_842,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
c_0_639,
[final] ).
cnf(c_0_843,plain,
( hBOOL(hAPP(hAPP(X2,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
c_0_640,
[final] ).
cnf(c_0_844,plain,
( hBOOL(hAPP(hAPP(X1,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
c_0_641,
[final] ).
cnf(c_0_845,plain,
( hBOOL(hAPP(hAPP(X1,X3),X5))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
c_0_642,
[final] ).
cnf(c_0_846,plain,
( X6 = X4
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
c_0_643,
[final] ).
cnf(c_0_847,plain,
( hBOOL(hAPP(hAPP(X1,X3),X5))
| X5 = X3
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
c_0_644,
[final] ).
cnf(c_0_848,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3)) ),
c_0_645,
[final] ).
cnf(c_0_849,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
c_0_646,
[final] ).
cnf(c_0_850,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),
c_0_647,
[final] ).
cnf(c_0_851,plain,
( X6 = X4
| X5 = X3
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
c_0_648,
[final] ).
cnf(c_0_852,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(X2,X6,X4) ),
c_0_649,
[final] ).
cnf(c_0_853,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_650,
[final] ).
cnf(c_0_854,plain,
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_651,
[final] ).
cnf(c_0_855,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OVar(X1),
c_0_652,
[final] ).
cnf(c_0_856,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X1),
c_0_653,
[final] ).
cnf(c_0_857,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X1),
c_0_654,
[final] ).
cnf(c_0_858,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
c_0_655,
[final] ).
cnf(c_0_859,plain,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X5,X3,X2)),c_List_Olist_OCons(X5,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),X4)) ),
c_0_656,
[final] ).
cnf(c_0_860,plain,
( c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
| ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
| ~ c_Type_Otyping(X1,X3,X6) ),
c_0_657,
[final] ).
cnf(c_0_861,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
c_0_658,
[final] ).
cnf(c_0_862,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_659,
[final] ).
cnf(c_0_863,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_660,
[final] ).
cnf(c_0_864,plain,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X4,X2)))
| ~ hBOOL(hAPP(hAPP(X1,X3),X5)) ),
c_0_661,
[final] ).
cnf(c_0_865,plain,
( c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),c_Type_Otype_OFun(X2,X4))
| ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4) ),
c_0_662,
[final] ).
cnf(c_0_866,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_663,
[final] ).
cnf(c_0_867,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),c_List_Olist_OCons(X3,X4,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X4)) ),
c_0_664,
[final] ).
cnf(c_0_868,plain,
( hBOOL(hAPP(hAPP(X1,X5),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
c_0_665,
[final] ).
cnf(c_0_869,plain,
( hBOOL(hAPP(hAPP(X1,X5),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
c_0_666,
[final] ).
cnf(c_0_870,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_667,
[final] ).
cnf(c_0_871,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_668,
[final] ).
cnf(c_0_872,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_669,
[final] ).
cnf(c_0_873,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
c_0_670,
[final] ).
cnf(c_0_874,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
c_0_671,
[final] ).
cnf(c_0_875,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
c_0_672,
[final] ).
cnf(c_0_876,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
c_0_673,
[final] ).
cnf(c_0_877,plain,
( hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1)) ),
c_0_674,
[final] ).
cnf(c_0_878,plain,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)))),
c_0_675,
[final] ).
cnf(c_0_879,plain,
( c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3)
| ~ c_Type_Otyping(X1,X2,X3) ),
c_0_676,
[final] ).
cnf(c_0_880,plain,
( hBOOL(hAPP(X5,X4))
| hBOOL(hAPP(X5,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X5,X1,X2))) ),
c_0_677,
[final] ).
cnf(c_0_881,plain,
( hBOOL(hAPP(X5,X4))
| hBOOL(hAPP(X5,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X5,X1,X2))) ),
c_0_678,
[final] ).
cnf(c_0_882,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X1,X3,X4),c_Predicate_Oconversep(X2,X3,X4),tc_fun(X4,tc_fun(X3,tc_bool))) = c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X3,X4),
c_0_679,
[final] ).
cnf(c_0_883,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X1,X3,X4),c_Predicate_Oconversep(X2,X3,X4),tc_fun(X4,tc_fun(X3,tc_bool))) = c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X3,X4),
c_0_680,
[final] ).
cnf(c_0_884,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_681,
[final] ).
cnf(c_0_885,plain,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_682,
[final] ).
cnf(c_0_886,plain,
c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(X1,X2),c_Transitive__Closure_Ortranclp(X3,X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_fun(X2,tc_bool))),X2),
c_0_683,
[final] ).
cnf(c_0_887,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_684,
[final] ).
cnf(c_0_888,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_685,
[final] ).
cnf(c_0_889,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X3),X5)) ),
c_0_686,
[final] ).
cnf(c_0_890,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
c_0_687,
[final] ).
cnf(c_0_891,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
c_0_688,
[final] ).
cnf(c_0_892,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
c_0_689,
[final] ).
cnf(c_0_893,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
c_0_690,
[final] ).
cnf(c_0_894,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
c_0_691,
[final] ).
cnf(c_0_895,plain,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)) ),
c_0_692,
[final] ).
cnf(c_0_896,plain,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)) ),
c_0_693,
[final] ).
cnf(c_0_897,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2)),X3)) ),
c_0_694,
[final] ).
cnf(c_0_898,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_695,
[final] ).
cnf(c_0_899,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X3,X2))) ),
c_0_696,
[final] ).
cnf(c_0_900,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X3,X2))) ),
c_0_697,
[final] ).
cnf(c_0_901,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2))) ),
c_0_698,
[final] ).
cnf(c_0_902,plain,
( hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2))) ),
c_0_699,
[final] ).
cnf(c_0_903,plain,
( hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2))) ),
c_0_700,
[final] ).
cnf(c_0_904,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_701,
[final] ).
cnf(c_0_905,plain,
hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
c_0_702,
[final] ).
cnf(c_0_906,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)) ),
c_0_703,
[final] ).
cnf(c_0_907,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
c_0_704,
[final] ).
cnf(c_0_908,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)) = c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3,X4),
c_0_705,
[final] ).
cnf(c_0_909,plain,
( X3 = X4
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
c_0_706,
[final] ).
cnf(c_0_910,plain,
( X3 = X4
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
c_0_707,
[final] ).
cnf(c_0_911,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4)) ),
c_0_708,
[final] ).
cnf(c_0_912,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2)))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
c_0_709,
[final] ).
cnf(c_0_913,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2)))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
c_0_710,
[final] ).
cnf(c_0_914,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
c_0_711,
[final] ).
cnf(c_0_915,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
c_0_712,
[final] ).
cnf(c_0_916,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
c_0_713,
[final] ).
cnf(c_0_917,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
c_0_714,
[final] ).
cnf(c_0_918,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
c_0_715,
[final] ).
cnf(c_0_919,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
c_0_716,
[final] ).
cnf(c_0_920,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
c_0_717,
[final] ).
cnf(c_0_921,plain,
( c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2)
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3)) ),
c_0_718,
[final] ).
cnf(c_0_922,plain,
( c_Type_Otyping(X3,X2,X4)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| ~ c_Type_Otyping(X3,X1,X4) ),
c_0_719,
[final] ).
cnf(c_0_923,plain,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
c_0_720,
[final] ).
cnf(c_0_924,plain,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
c_0_721,
[final] ).
cnf(c_0_925,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_722,
[final] ).
cnf(c_0_926,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
c_0_723,
[final] ).
cnf(c_0_927,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
c_0_724,
[final] ).
cnf(c_0_928,plain,
( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
| ~ c_Type_Otyping(X1,X2,c_Type_Otype_OFun(X3,X4))
| ~ c_Type_Otyping(X1,X5,X3) ),
c_0_725,
[final] ).
cnf(c_0_929,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3))
| ~ c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2) ),
c_0_726,
[final] ).
cnf(c_0_930,plain,
~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_ONil(X2)),X3)),
c_0_727,
[final] ).
cnf(c_0_931,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_728,
[final] ).
cnf(c_0_932,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_729,
[final] ).
cnf(c_0_933,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
c_0_730,
[final] ).
cnf(c_0_934,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_731,
[final] ).
cnf(c_0_935,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_732,
[final] ).
cnf(c_0_936,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
c_0_733,
[final] ).
cnf(c_0_937,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
c_0_734,
[final] ).
cnf(c_0_938,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_735,
[final] ).
cnf(c_0_939,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_736,
[final] ).
cnf(c_0_940,plain,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
c_0_737,
[final] ).
cnf(c_0_941,plain,
~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),c_List_Olist_ONil(X2))),
c_0_738,
[final] ).
cnf(c_0_942,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_739,
[final] ).
cnf(c_0_943,plain,
c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
c_0_740,
[final] ).
cnf(c_0_944,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1))) ),
c_0_741,
[final] ).
cnf(c_0_945,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1))) ),
c_0_742,
[final] ).
cnf(c_0_946,plain,
( c_Type_Otyping(X1,X4,X3)
| ~ c_Type_Otyping(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
c_0_743,
[final] ).
cnf(c_0_947,plain,
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_744,
[final] ).
cnf(c_0_948,plain,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
c_0_745,
[final] ).
cnf(c_0_949,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_746,
[final] ).
cnf(c_0_950,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_747,
[final] ).
cnf(c_0_951,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_748,
[final] ).
cnf(c_0_952,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_749,
[final] ).
cnf(c_0_953,plain,
c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2) = c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),
c_0_750,
[final] ).
cnf(c_0_954,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)) = c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3),
c_0_751,
[final] ).
cnf(c_0_955,plain,
hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)),
c_0_752,
[final] ).
cnf(c_0_956,plain,
hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)),
c_0_753,
[final] ).
cnf(c_0_957,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_754,
[final] ).
cnf(c_0_958,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_755,
[final] ).
cnf(c_0_959,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))) = c_Transitive__Closure_Ortranclp(X1,X2),
c_0_756,
[final] ).
cnf(c_0_960,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
c_0_757,
[final] ).
cnf(c_0_961,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
c_0_758,
[final] ).
cnf(c_0_962,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
c_0_759,
[final] ).
cnf(c_0_963,plain,
c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2) = X1,
c_0_760,
[final] ).
cnf(c_0_964,plain,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)),
c_0_761,
[final] ).
cnf(c_0_965,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_762,
[final] ).
cnf(c_0_966,plain,
( X1 = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) ),
c_0_763,
[final] ).
cnf(c_0_967,plain,
( X1 = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2) ),
c_0_764,
[final] ).
cnf(c_0_968,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_765,
[final] ).
cnf(c_0_969,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_766,
[final] ).
cnf(c_0_970,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_767,
[final] ).
cnf(c_0_971,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_768,
[final] ).
cnf(c_0_972,plain,
( hBOOL(hAPP(c_InductTermi_OIT,X2))
| ~ c_Type_Otyping(X1,X2,X3) ),
c_0_769,
[final] ).
cnf(c_0_973,plain,
( hAPP(X1,X2) = X3
| ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3) ),
c_0_770,
[final] ).
cnf(c_0_974,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
c_0_771,
[final] ).
cnf(c_0_975,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ c_Wellfounded_OwfP(X1,X2) ),
c_0_772,
[final] ).
cnf(c_0_976,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_773,
[final] ).
cnf(c_0_977,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_774,
[final] ).
cnf(c_0_978,plain,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
c_0_775,
[final] ).
cnf(c_0_979,plain,
c_List_Olist_OCons(X2,X1,X3) != X1,
c_0_776,
[final] ).
cnf(c_0_980,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
c_0_777,
[final] ).
cnf(c_0_981,plain,
c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
c_0_778,
[final] ).
cnf(c_0_982,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_779,
[final] ).
cnf(c_0_983,plain,
c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
c_0_780,
[final] ).
cnf(c_0_984,plain,
c_Predicate_Oconversep(c_fequal(X1),X1,X1) = c_fequal(X1),
c_0_781,
[final] ).
cnf(c_0_985,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_Lambda_OdB_OAbs(X3),
c_0_782,
[final] ).
cnf(c_0_986,plain,
c_Lambda_OdB_OAbs(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),
c_0_783,
[final] ).
cnf(c_0_987,plain,
c_Lambda_OdB_OVar(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),
c_0_784,
[final] ).
cnf(c_0_988,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_Lambda_OdB_OVar(X3),
c_0_785,
[final] ).
cnf(c_0_989,plain,
( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X1,X2),X2)
| ~ c_Wellfounded_OwfP(X1,X2) ),
c_0_786,
[final] ).
cnf(c_0_990,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
c_0_787,
[final] ).
cnf(c_0_991,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
c_0_788,
[final] ).
cnf(c_0_992,plain,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
c_0_789,
[final] ).
cnf(c_0_993,plain,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
c_0_790,
[final] ).
cnf(c_0_994,plain,
c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
c_0_791,
[final] ).
cnf(c_0_995,plain,
( X1 = X2
| c_Type_Otype_OFun(X1,X3) != c_Type_Otype_OFun(X2,X4) ),
c_0_792,
[final] ).
cnf(c_0_996,plain,
( X1 = X2
| c_Type_Otype_OFun(X3,X1) != c_Type_Otype_OFun(X4,X2) ),
c_0_793,
[final] ).
cnf(c_0_997,plain,
hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))),
c_0_794,
[final] ).
cnf(c_0_998,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_795,
[final] ).
cnf(c_0_999,plain,
( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
c_0_796,
[final] ).
cnf(c_0_1000,plain,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_797,
[final] ).
cnf(c_0_1001,plain,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_798,
[final] ).
cnf(c_0_1002,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
c_0_799,
[final] ).
cnf(c_0_1003,plain,
( X1 = X2
| c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2) ),
c_0_800,
[final] ).
cnf(c_0_1004,plain,
( X1 = X2
| c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
c_0_801,
[final] ).
cnf(c_0_1005,plain,
c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OVar(X2),
c_0_802,
[final] ).
cnf(c_0_1006,plain,
c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OAbs(X2),
c_0_803,
[final] ).
cnf(c_0_1007,plain,
class_Lattices_Olattice(tc_bool),
c_0_804,
[final] ).
cnf(c_0_1008,plain,
class_Lattices_Odistrib__lattice(tc_bool),
c_0_805,
[final] ).
cnf(c_0_1009,plain,
class_Lattices_Olower__semilattice(tc_bool),
c_0_806,
[final] ).
cnf(c_0_1010,plain,
class_Lattices_Oupper__semilattice(tc_bool),
c_0_807,
[final] ).
cnf(c_0_1011,plain,
class_Lattices_Olattice(tc_nat),
c_0_808,
[final] ).
cnf(c_0_1012,plain,
class_Lattices_Odistrib__lattice(tc_nat),
c_0_809,
[final] ).
cnf(c_0_1013,plain,
class_Lattices_Olower__semilattice(tc_nat),
c_0_810,
[final] ).
cnf(c_0_1014,plain,
class_Lattices_Oupper__semilattice(tc_nat),
c_0_811,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_812_0,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X3
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_812]) ).
cnf(c_0_812_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_812]) ).
cnf(c_0_813_0,axiom,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X2),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_813]) ).
cnf(c_0_813_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB)),X3))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X2),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_813]) ).
cnf(c_0_814_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_814]) ).
cnf(c_0_814_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_814]) ).
cnf(c_0_814_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_814]) ).
cnf(c_0_815_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_815]) ).
cnf(c_0_815_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_815]) ).
cnf(c_0_816_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_816]) ).
cnf(c_0_816_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X2,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_816]) ).
cnf(c_0_817_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_817]) ).
cnf(c_0_817_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_817]) ).
cnf(c_0_818_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_818]) ).
cnf(c_0_818_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_818]) ).
cnf(c_0_818_2,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X2))
| ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)),X3,tc_Lambda_OdB,tc_Lambda_OdB)))
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2),X3,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_818]) ).
cnf(c_0_819_0,axiom,
( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X4,X6,X7,X8),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_819]) ).
cnf(c_0_819_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X4,X6,X7,X8),X2),X5))
| ~ hBOOL(hAPP(hAPP(X4,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_819]) ).
cnf(c_0_819_2,axiom,
( ~ hBOOL(hAPP(hAPP(X4,X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(X1,X4,X6,X7,X8),X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_819]) ).
cnf(c_0_820_0,axiom,
( X4 = X5
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
inference(literals_permutation,[status(thm)],[c_0_820]) ).
cnf(c_0_820_1,axiom,
( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| X4 = X5
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
inference(literals_permutation,[status(thm)],[c_0_820]) ).
cnf(c_0_820_2,axiom,
( ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X5)
| ~ c_Type_Otyping(X1,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
| X4 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_820]) ).
cnf(c_0_821_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
| ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_821]) ).
cnf(c_0_821_1,axiom,
( ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB)
| hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X1,tc_Lambda_OdB,tc_Lambda_OdB))) ),
inference(literals_permutation,[status(thm)],[c_0_821]) ).
cnf(c_0_823_0,axiom,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_823]) ).
cnf(c_0_823_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_823]) ).
cnf(c_0_824_0,axiom,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_824]) ).
cnf(c_0_824_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_824]) ).
cnf(c_0_825_0,axiom,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_825]) ).
cnf(c_0_825_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X4,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_825]) ).
cnf(c_0_826_0,axiom,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_826]) ).
cnf(c_0_826_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X4),X2,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_826]) ).
cnf(c_0_828_0,axiom,
( X1 = X2
| c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_828]) ).
cnf(c_0_828_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_828]) ).
cnf(c_0_829_0,axiom,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X4,X3,X1),tc_Lambda_OdB,tc_Lambda_OdB) = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_829]) ).
cnf(c_0_829_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X4,X3,X1),tc_Lambda_OdB,tc_Lambda_OdB) = X2
| X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_829]) ).
cnf(c_0_829_2,axiom,
( hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X4,X3,X1),tc_Lambda_OdB,tc_Lambda_OdB) = X2
| X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_829]) ).
cnf(c_0_831_0,axiom,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_831]) ).
cnf(c_0_831_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_831]) ).
cnf(c_0_832_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_832]) ).
cnf(c_0_832_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_832]) ).
cnf(c_0_833_0,axiom,
( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_833]) ).
cnf(c_0_833_1,axiom,
( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_833]) ).
cnf(c_0_835_0,axiom,
( X1 = c_Lambda_OdB_OAbs(X2)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_835]) ).
cnf(c_0_835_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
| X1 = c_Lambda_OdB_OAbs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_835]) ).
cnf(c_0_836_0,axiom,
( c_Lambda_OdB_OVar(X1) = X2
| c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_836]) ).
cnf(c_0_836_1,axiom,
( c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_836]) ).
cnf(c_0_837_0,axiom,
( c_Lambda_OdB_OAbs(X1) = X2
| c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_837]) ).
cnf(c_0_837_1,axiom,
( c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_837]) ).
cnf(c_0_838_0,axiom,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_838]) ).
cnf(c_0_838_1,axiom,
( c_Lambda_OdB_OVar(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_838]) ).
cnf(c_0_839_0,axiom,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_839]) ).
cnf(c_0_839_1,axiom,
( c_Lambda_OdB_OAbs(X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB)
| X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_839]) ).
cnf(c_0_840_0,axiom,
( X1 = c_List_Olist_ONil(tc_Lambda_OdB)
| c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_840]) ).
cnf(c_0_840_1,axiom,
( c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X3)
| X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
inference(literals_permutation,[status(thm)],[c_0_840]) ).
cnf(c_0_841_0,axiom,
( hBOOL(hAPP(hAPP(X1,X5),X6))
| hBOOL(hAPP(hAPP(X2,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_841]) ).
cnf(c_0_841_1,axiom,
( hBOOL(hAPP(hAPP(X2,X5),X6))
| hBOOL(hAPP(hAPP(X1,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_841]) ).
cnf(c_0_841_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6))
| hBOOL(hAPP(hAPP(X2,X5),X6))
| hBOOL(hAPP(hAPP(X1,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_841]) ).
cnf(c_0_842_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_842]) ).
cnf(c_0_842_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_842]) ).
cnf(c_0_843_0,axiom,
( hBOOL(hAPP(hAPP(X2,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_843]) ).
cnf(c_0_843_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6))
| hBOOL(hAPP(hAPP(X2,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_843]) ).
cnf(c_0_844_0,axiom,
( hBOOL(hAPP(hAPP(X1,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_844]) ).
cnf(c_0_844_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X5),X6))
| hBOOL(hAPP(hAPP(X1,X5),X6)) ),
inference(literals_permutation,[status(thm)],[c_0_844]) ).
cnf(c_0_845_0,axiom,
( hBOOL(hAPP(hAPP(X1,X3),X5))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_845]) ).
cnf(c_0_845_1,axiom,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| hBOOL(hAPP(hAPP(X1,X3),X5))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_845]) ).
cnf(c_0_845_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2)))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| hBOOL(hAPP(hAPP(X1,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_845]) ).
cnf(c_0_846_0,axiom,
( X6 = X4
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_846]) ).
cnf(c_0_846_1,axiom,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| X6 = X4
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_846]) ).
cnf(c_0_846_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2)))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X4),X6))
| X6 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_846]) ).
cnf(c_0_847_0,axiom,
( hBOOL(hAPP(hAPP(X1,X3),X5))
| X5 = X3
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_847]) ).
cnf(c_0_847_1,axiom,
( X5 = X3
| hBOOL(hAPP(hAPP(X1,X3),X5))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_847]) ).
cnf(c_0_847_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2)))
| X5 = X3
| hBOOL(hAPP(hAPP(X1,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_847]) ).
cnf(c_0_848_0,axiom,
( hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_848]) ).
cnf(c_0_848_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X4,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_848]) ).
cnf(c_0_848_2,axiom,
( ~ hBOOL(hAPP(hAPP(X4,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_848]) ).
cnf(c_0_849_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_849]) ).
cnf(c_0_849_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X1,X2,X2),X2),X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_849]) ).
cnf(c_0_851_0,axiom,
( X6 = X4
| X5 = X3
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_851]) ).
cnf(c_0_851_1,axiom,
( X5 = X3
| X6 = X4
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_851]) ).
cnf(c_0_851_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X6,X2)))
| X5 = X3
| X6 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_851]) ).
cnf(c_0_852_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(X2,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_852]) ).
cnf(c_0_852_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(X2,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_852]) ).
cnf(c_0_852_2,axiom,
( ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(X2,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_852]) ).
cnf(c_0_852_3,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3)))
| ~ c_Type_Otyping(X2,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_852]) ).
cnf(c_0_852_4,axiom,
( ~ c_Type_Otyping(X2,X6,X4)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X6))
| ~ c_Type_Otyping(c_Type_Oshift(X2,X3,X4,tc_Type_Otype),X1,X5)
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,X6,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_852]) ).
cnf(c_0_853_0,axiom,
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_853]) ).
cnf(c_0_853_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_853]) ).
cnf(c_0_854_0,axiom,
( hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_854]) ).
cnf(c_0_854_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X5,tc_fun(X6,tc_bool))),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_854]) ).
cnf(c_0_859_0,axiom,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X5,X3,X2)),c_List_Olist_OCons(X5,X4,X2)))
| ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_859]) ).
cnf(c_0_859_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X5,X3,X2)),c_List_Olist_OCons(X5,X4,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_859]) ).
cnf(c_0_860_0,axiom,
( c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
| ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
| ~ c_Type_Otyping(X1,X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_860]) ).
cnf(c_0_860_1,axiom,
( ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
| c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5)
| ~ c_Type_Otyping(X1,X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_860]) ).
cnf(c_0_860_2,axiom,
( ~ c_Type_Otyping(X1,X3,X6)
| ~ c_Type_Otyping(c_Type_Oshift(X1,X4,X6,tc_Type_Otype),X2,X5)
| c_Type_Otyping(X1,c_Lambda_Osubst(X2,X3,X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_860]) ).
cnf(c_0_861_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_861]) ).
cnf(c_0_861_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_861]) ).
cnf(c_0_861_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_861]) ).
cnf(c_0_862_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_862]) ).
cnf(c_0_862_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_862]) ).
cnf(c_0_863_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_863]) ).
cnf(c_0_863_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_863]) ).
cnf(c_0_864_0,axiom,
( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X4,X2)))
| ~ hBOOL(hAPP(hAPP(X1,X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_864]) ).
cnf(c_0_864_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X3),X5))
| hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_OCons(X3,X4,X2)),c_List_Olist_OCons(X5,X4,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_864]) ).
cnf(c_0_865_0,axiom,
( c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),c_Type_Otype_OFun(X2,X4))
| ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_865]) ).
cnf(c_0_865_1,axiom,
( ~ c_Type_Otyping(c_Type_Oshift(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X3,X4)
| c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X3),c_Type_Otype_OFun(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_865]) ).
cnf(c_0_866_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_866]) ).
cnf(c_0_866_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(X3,X1,X4)),c_Lambda_Osubst(X3,X2,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_866]) ).
cnf(c_0_867_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),c_List_Olist_OCons(X3,X4,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_867]) ).
cnf(c_0_867_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),c_List_Olist_OCons(X3,X4,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_867]) ).
cnf(c_0_867_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),c_List_Olist_OCons(X3,X4,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_867]) ).
cnf(c_0_868_0,axiom,
( hBOOL(hAPP(hAPP(X1,X5),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_868]) ).
cnf(c_0_868_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))
| hBOOL(hAPP(hAPP(X1,X5),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_868]) ).
cnf(c_0_869_0,axiom,
( hBOOL(hAPP(hAPP(X1,X5),X4))
| ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_869]) ).
cnf(c_0_869_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X2,X3),X4),X5))
| hBOOL(hAPP(hAPP(X1,X5),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_869]) ).
cnf(c_0_870_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_870]) ).
cnf(c_0_870_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_870]) ).
cnf(c_0_871_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_871]) ).
cnf(c_0_871_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_871]) ).
cnf(c_0_872_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_872]) ).
cnf(c_0_872_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_872]) ).
cnf(c_0_873_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_873]) ).
cnf(c_0_873_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_873]) ).
cnf(c_0_873_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_873]) ).
cnf(c_0_874_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_874]) ).
cnf(c_0_874_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_874]) ).
cnf(c_0_874_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_874]) ).
cnf(c_0_875_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_875]) ).
cnf(c_0_875_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_875]) ).
cnf(c_0_875_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_875]) ).
cnf(c_0_876_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_876]) ).
cnf(c_0_876_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_876]) ).
cnf(c_0_876_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_876]) ).
cnf(c_0_877_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,X1))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_877]) ).
cnf(c_0_877_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
| hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_877]) ).
cnf(c_0_879_0,axiom,
( c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3)
| ~ c_Type_Otyping(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_879]) ).
cnf(c_0_879_1,axiom,
( ~ c_Type_Otyping(X1,X2,X3)
| c_Type_Otyping(c_Type_Oshift(X1,X4,X5,tc_Type_Otype),c_Lambda_Olift(X2,X4),X3) ),
inference(literals_permutation,[status(thm)],[c_0_879]) ).
cnf(c_0_880_0,axiom,
( hBOOL(hAPP(X5,X4))
| hBOOL(hAPP(X5,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X5,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_880]) ).
cnf(c_0_880_1,axiom,
( hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(X5,X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X5,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_880]) ).
cnf(c_0_880_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(X5,X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X5,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_880]) ).
cnf(c_0_880_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X5,X1,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(X5,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_880]) ).
cnf(c_0_881_0,axiom,
( hBOOL(hAPP(X5,X4))
| hBOOL(hAPP(X5,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X5,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_881]) ).
cnf(c_0_881_1,axiom,
( hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(X5,X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X5,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_881]) ).
cnf(c_0_881_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(X5,X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X5,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_881]) ).
cnf(c_0_881_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X5,X1,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(X5,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_881]) ).
cnf(c_0_884_0,axiom,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_884]) ).
cnf(c_0_884_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_884]) ).
cnf(c_0_885_0,axiom,
( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_885]) ).
cnf(c_0_885_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X1,X4,X5),X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_885]) ).
cnf(c_0_887_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_887]) ).
cnf(c_0_887_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_887]) ).
cnf(c_0_888_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_888]) ).
cnf(c_0_888_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_888]) ).
cnf(c_0_889_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_889]) ).
cnf(c_0_889_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_889]) ).
cnf(c_0_889_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_889]) ).
cnf(c_0_890_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_890]) ).
cnf(c_0_890_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_890]) ).
cnf(c_0_890_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_890]) ).
cnf(c_0_891_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_891]) ).
cnf(c_0_891_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_891]) ).
cnf(c_0_891_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_891]) ).
cnf(c_0_892_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_892]) ).
cnf(c_0_892_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_892]) ).
cnf(c_0_892_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_892]) ).
cnf(c_0_893_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_893]) ).
cnf(c_0_893_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_893]) ).
cnf(c_0_893_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_893]) ).
cnf(c_0_894_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_894]) ).
cnf(c_0_894_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_894]) ).
cnf(c_0_894_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X3),X5))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_894]) ).
cnf(c_0_895_0,axiom,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_895]) ).
cnf(c_0_895_1,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2))
| hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X2,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_895]) ).
cnf(c_0_896_0,axiom,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3)),X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_896]) ).
cnf(c_0_896_1,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X3),X2))
| hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X2,X3)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_896]) ).
cnf(c_0_897_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_897]) ).
cnf(c_0_897_1,axiom,
( hBOOL(hAPP(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2)),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_897]) ).
cnf(c_0_898_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_898]) ).
cnf(c_0_898_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_898]) ).
cnf(c_0_899_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_899]) ).
cnf(c_0_899_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1(X1,X3,X2)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_899]) ).
cnf(c_0_900_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_900]) ).
cnf(c_0_900_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1(X1,X3,X2)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_900]) ).
cnf(c_0_901_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_901]) ).
cnf(c_0_901_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1(X1,X3,X2)))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_901]) ).
cnf(c_0_902_0,axiom,
( hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_902]) ).
cnf(c_0_902_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_902]) ).
cnf(c_0_902_2,axiom,
( ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_902]) ).
cnf(c_0_903_0,axiom,
( hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_903]) ).
cnf(c_0_903_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_903]) ).
cnf(c_0_903_2,axiom,
( ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_903]) ).
cnf(c_0_904_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_904]) ).
cnf(c_0_904_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1)) ),
inference(literals_permutation,[status(thm)],[c_0_904]) ).
cnf(c_0_906_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_906]) ).
cnf(c_0_906_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_906]) ).
cnf(c_0_906_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X4),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_906]) ).
cnf(c_0_907_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_907]) ).
cnf(c_0_907_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_907]) ).
cnf(c_0_907_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_907]) ).
cnf(c_0_909_0,axiom,
( X3 = X4
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_909]) ).
cnf(c_0_909_1,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| X3 = X4
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_909]) ).
cnf(c_0_909_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| X3 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_909]) ).
cnf(c_0_910_0,axiom,
( X3 = X4
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_910]) ).
cnf(c_0_910_1,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| X3 = X4
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_910]) ).
cnf(c_0_910_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| X3 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_910]) ).
cnf(c_0_911_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_911]) ).
cnf(c_0_911_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X2),X3),X4))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_911]) ).
cnf(c_0_912_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2)))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_912]) ).
cnf(c_0_912_1,axiom,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_912]) ).
cnf(c_0_912_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1(X4,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_912]) ).
cnf(c_0_913_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2)))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_913]) ).
cnf(c_0_913_1,axiom,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_913]) ).
cnf(c_0_913_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1(X4,X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_913]) ).
cnf(c_0_914_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_914]) ).
cnf(c_0_914_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_914]) ).
cnf(c_0_915_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_915]) ).
cnf(c_0_915_1,axiom,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_915]) ).
cnf(c_0_915_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_915]) ).
cnf(c_0_915_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_915]) ).
cnf(c_0_916_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_916]) ).
cnf(c_0_916_1,axiom,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_916]) ).
cnf(c_0_916_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_916]) ).
cnf(c_0_916_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_916]) ).
cnf(c_0_917_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_917]) ).
cnf(c_0_917_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_917]) ).
cnf(c_0_918_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_918]) ).
cnf(c_0_918_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_918]) ).
cnf(c_0_919_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_919]) ).
cnf(c_0_919_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_919]) ).
cnf(c_0_920_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_920]) ).
cnf(c_0_920_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_920]) ).
cnf(c_0_921_0,axiom,
( c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2)
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_921]) ).
cnf(c_0_921_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3))
| c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_921]) ).
cnf(c_0_922_0,axiom,
( c_Type_Otyping(X3,X2,X4)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| ~ c_Type_Otyping(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_922]) ).
cnf(c_0_922_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| c_Type_Otyping(X3,X2,X4)
| ~ c_Type_Otyping(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_922]) ).
cnf(c_0_922_2,axiom,
( ~ c_Type_Otyping(X3,X1,X4)
| ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2))
| c_Type_Otyping(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_922]) ).
cnf(c_0_923_0,axiom,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_923]) ).
cnf(c_0_923_1,axiom,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_923]) ).
cnf(c_0_923_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_923]) ).
cnf(c_0_923_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinduct__1(X4,X1)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_923]) ).
cnf(c_0_924_0,axiom,
( hBOOL(hAPP(X4,X3))
| hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_924]) ).
cnf(c_0_924_1,axiom,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_924]) ).
cnf(c_0_924_2,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(X4,X3))
| ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_924]) ).
cnf(c_0_924_3,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X3),v_sko__Wellfounded__Xaccp__Xinducts__1(X4,X1)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(X4,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_924]) ).
cnf(c_0_925_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_925]) ).
cnf(c_0_925_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_925]) ).
cnf(c_0_926_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_926]) ).
cnf(c_0_926_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_926]) ).
cnf(c_0_926_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_926]) ).
cnf(c_0_927_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_927]) ).
cnf(c_0_927_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4))
| ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_927]) ).
cnf(c_0_927_2,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X4),X3))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_927]) ).
cnf(c_0_928_0,axiom,
( c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
| ~ c_Type_Otyping(X1,X2,c_Type_Otype_OFun(X3,X4))
| ~ c_Type_Otyping(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_928]) ).
cnf(c_0_928_1,axiom,
( ~ c_Type_Otyping(X1,X2,c_Type_Otype_OFun(X3,X4))
| c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4)
| ~ c_Type_Otyping(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_928]) ).
cnf(c_0_928_2,axiom,
( ~ c_Type_Otyping(X1,X5,X3)
| ~ c_Type_Otyping(X1,X2,c_Type_Otype_OFun(X3,X4))
| c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_928]) ).
cnf(c_0_929_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3))
| ~ c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_929]) ).
cnf(c_0_929_1,axiom,
( ~ c_List_Olistsp(c_Wellfounded_Oaccp(X1,X2),X3,X2)
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X1,X2),tc_List_Olist(X2)),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_929]) ).
cnf(c_0_931_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_931]) ).
cnf(c_0_931_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_931]) ).
cnf(c_0_932_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_932]) ).
cnf(c_0_932_1,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_932]) ).
cnf(c_0_933_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_933]) ).
cnf(c_0_933_1,axiom,
( ~ class_Lattices_Olattice(X4)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_933]) ).
cnf(c_0_934_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_934]) ).
cnf(c_0_934_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_934]) ).
cnf(c_0_935_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_935]) ).
cnf(c_0_935_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_935]) ).
cnf(c_0_936_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_936]) ).
cnf(c_0_936_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_936]) ).
cnf(c_0_937_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_937]) ).
cnf(c_0_937_1,axiom,
( ~ class_Lattices_Olattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_937]) ).
cnf(c_0_938_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_938]) ).
cnf(c_0_938_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_938]) ).
cnf(c_0_939_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_939]) ).
cnf(c_0_939_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X4),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_939]) ).
cnf(c_0_940_0,axiom,
( hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X3))
| ~ hBOOL(hAPP(hAPP(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_940]) ).
cnf(c_0_940_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(X1,X4),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_940]) ).
cnf(c_0_942_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_942]) ).
cnf(c_0_942_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(X1,c_Lambda_OdB_OVar(X2),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_942]) ).
cnf(c_0_944_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_944]) ).
cnf(c_0_944_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_944]) ).
cnf(c_0_944_2,axiom,
( ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinduct__1(X3,X1)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_944]) ).
cnf(c_0_945_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_945]) ).
cnf(c_0_945_1,axiom,
( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_945]) ).
cnf(c_0_945_2,axiom,
( ~ hBOOL(hAPP(X3,v_sko__Wellfounded__Xaccp__Xinducts__1(X3,X1)))
| ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X1,t_a),X2))
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_945]) ).
cnf(c_0_946_0,axiom,
( c_Type_Otyping(X1,X4,X3)
| ~ c_Type_Otyping(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_946]) ).
cnf(c_0_946_1,axiom,
( ~ c_Type_Otyping(X1,X2,X3)
| c_Type_Otyping(X1,X4,X3)
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_946]) ).
cnf(c_0_946_2,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X2),X4))
| ~ c_Type_Otyping(X1,X2,X3)
| c_Type_Otyping(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_946]) ).
cnf(c_0_947_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2))))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_947]) ).
cnf(c_0_947_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X1),c_Lambda_OdB_OVar(X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_947]) ).
cnf(c_0_948_0,axiom,
( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2)))
| ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_948]) ).
cnf(c_0_948_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2))
| hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X1)),c_Lambda_OdB_OAbs(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_948]) ).
cnf(c_0_949_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_949]) ).
cnf(c_0_949_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_949]) ).
cnf(c_0_950_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_950]) ).
cnf(c_0_950_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_950]) ).
cnf(c_0_951_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_951]) ).
cnf(c_0_951_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_951]) ).
cnf(c_0_952_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_952]) ).
cnf(c_0_952_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_952]) ).
cnf(c_0_957_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_957]) ).
cnf(c_0_957_1,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_957]) ).
cnf(c_0_958_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_958]) ).
cnf(c_0_958_1,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_958]) ).
cnf(c_0_960_0,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_960]) ).
cnf(c_0_960_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_960]) ).
cnf(c_0_961_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_961]) ).
cnf(c_0_961_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_961]) ).
cnf(c_0_962_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_962]) ).
cnf(c_0_962_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_962]) ).
cnf(c_0_965_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_965]) ).
cnf(c_0_965_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_965]) ).
cnf(c_0_966_0,axiom,
( X1 = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4) ),
inference(literals_permutation,[status(thm)],[c_0_966]) ).
cnf(c_0_966_1,axiom,
( hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_966]) ).
cnf(c_0_967_0,axiom,
( X1 = X2
| hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_967]) ).
cnf(c_0_967_1,axiom,
( hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X4),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_967]) ).
cnf(c_0_968_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_968]) ).
cnf(c_0_968_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_968]) ).
cnf(c_0_969_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_969]) ).
cnf(c_0_969_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_969]) ).
cnf(c_0_970_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_970]) ).
cnf(c_0_970_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_970]) ).
cnf(c_0_971_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_971]) ).
cnf(c_0_971_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_971]) ).
cnf(c_0_972_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,X2))
| ~ c_Type_Otyping(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_972]) ).
cnf(c_0_972_1,axiom,
( ~ c_Type_Otyping(X1,X2,X3)
| hBOOL(hAPP(c_InductTermi_OIT,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_972]) ).
cnf(c_0_973_0,axiom,
( hAPP(X1,X2) = X3
| ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_973]) ).
cnf(c_0_973_1,axiom,
( ~ c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),X3)
| hAPP(X1,X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_973]) ).
cnf(c_0_975_0,axiom,
( hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3))
| ~ c_Wellfounded_OwfP(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_975]) ).
cnf(c_0_975_1,axiom,
( ~ c_Wellfounded_OwfP(X1,X2)
| hBOOL(hAPP(c_Wellfounded_Oaccp(X1,X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_975]) ).
cnf(c_0_982_0,axiom,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_982]) ).
cnf(c_0_982_1,axiom,
( ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
| hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_982]) ).
cnf(c_0_989_0,axiom,
( c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X1,X2),X2)
| ~ c_Wellfounded_OwfP(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_989]) ).
cnf(c_0_989_1,axiom,
( ~ c_Wellfounded_OwfP(X1,X2)
| c_Wellfounded_OwfP(c_Transitive__Closure_Otranclp(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_989]) ).
cnf(c_0_990_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_990]) ).
cnf(c_0_990_1,axiom,
( ~ class_Lattices_Olower__semilattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_990]) ).
cnf(c_0_991_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_991]) ).
cnf(c_0_991_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_991]) ).
cnf(c_0_995_0,axiom,
( X1 = X2
| c_Type_Otype_OFun(X1,X3) != c_Type_Otype_OFun(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_995]) ).
cnf(c_0_995_1,axiom,
( c_Type_Otype_OFun(X1,X3) != c_Type_Otype_OFun(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_995]) ).
cnf(c_0_996_0,axiom,
( X1 = X2
| c_Type_Otype_OFun(X3,X1) != c_Type_Otype_OFun(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_996]) ).
cnf(c_0_996_1,axiom,
( c_Type_Otype_OFun(X3,X1) != c_Type_Otype_OFun(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_996]) ).
cnf(c_0_998_0,axiom,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_998]) ).
cnf(c_0_998_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_998]) ).
cnf(c_0_999_0,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_999]) ).
cnf(c_0_999_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_999]) ).
cnf(c_0_1000_0,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1000]) ).
cnf(c_0_1000_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olower__semilattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1000]) ).
cnf(c_0_1001_0,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1001]) ).
cnf(c_0_1001_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1001]) ).
cnf(c_0_1003_0,axiom,
( X1 = X2
| c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1003]) ).
cnf(c_0_1003_1,axiom,
( c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OVar(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1003]) ).
cnf(c_0_1004_0,axiom,
( X1 = X2
| c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1004]) ).
cnf(c_0_1004_1,axiom,
( c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1004]) ).
cnf(c_0_827_0,axiom,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),
inference(literals_permutation,[status(thm)],[c_0_827]) ).
cnf(c_0_834_0,axiom,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),
inference(literals_permutation,[status(thm)],[c_0_834]) ).
cnf(c_0_930_0,axiom,
~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),c_List_Olist_ONil(X2)),X3)),
inference(literals_permutation,[status(thm)],[c_0_930]) ).
cnf(c_0_941_0,axiom,
~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X1,X2),X3),c_List_Olist_ONil(X2))),
inference(literals_permutation,[status(thm)],[c_0_941]) ).
cnf(c_0_964_0,axiom,
~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X1)),X2)),
inference(literals_permutation,[status(thm)],[c_0_964]) ).
cnf(c_0_976_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_976]) ).
cnf(c_0_977_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_977]) ).
cnf(c_0_978_0,axiom,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_978]) ).
cnf(c_0_979_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != X1,
inference(literals_permutation,[status(thm)],[c_0_979]) ).
cnf(c_0_980_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(literals_permutation,[status(thm)],[c_0_980]) ).
cnf(c_0_985_0,axiom,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_Lambda_OdB_OAbs(X3),
inference(literals_permutation,[status(thm)],[c_0_985]) ).
cnf(c_0_986_0,axiom,
c_Lambda_OdB_OAbs(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),
inference(literals_permutation,[status(thm)],[c_0_986]) ).
cnf(c_0_987_0,axiom,
c_Lambda_OdB_OVar(X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),
inference(literals_permutation,[status(thm)],[c_0_987]) ).
cnf(c_0_988_0,axiom,
hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_Lambda_OdB_OVar(X3),
inference(literals_permutation,[status(thm)],[c_0_988]) ).
cnf(c_0_1005_0,axiom,
c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OVar(X2),
inference(literals_permutation,[status(thm)],[c_0_1005]) ).
cnf(c_0_1006_0,axiom,
c_Lambda_OdB_OVar(X1) != c_Lambda_OdB_OAbs(X2),
inference(literals_permutation,[status(thm)],[c_0_1006]) ).
cnf(c_0_822_0,axiom,
c_Predicate_Opred__comp(c_Predicate_Oconversep(X2,X4,X5),c_Predicate_Oconversep(X1,X3,X4),X5,X4,X3) = c_Predicate_Oconversep(c_Predicate_Opred__comp(X1,X2,X3,X4,X5),X3,X5),
inference(literals_permutation,[status(thm)],[c_0_822]) ).
cnf(c_0_830_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
inference(literals_permutation,[status(thm)],[c_0_830]) ).
cnf(c_0_850_0,axiom,
c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),
inference(literals_permutation,[status(thm)],[c_0_850]) ).
cnf(c_0_855_0,axiom,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OVar(X1),
inference(literals_permutation,[status(thm)],[c_0_855]) ).
cnf(c_0_856_0,axiom,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X1),
inference(literals_permutation,[status(thm)],[c_0_856]) ).
cnf(c_0_857_0,axiom,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(X1),
inference(literals_permutation,[status(thm)],[c_0_857]) ).
cnf(c_0_858_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_858]) ).
cnf(c_0_878_0,axiom,
hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X2)),c_Lambda_Osubst(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(literals_permutation,[status(thm)],[c_0_878]) ).
cnf(c_0_882_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(X1,X3,X4),c_Predicate_Oconversep(X2,X3,X4),tc_fun(X4,tc_fun(X3,tc_bool))) = c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_882]) ).
cnf(c_0_883_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(X1,X3,X4),c_Predicate_Oconversep(X2,X3,X4),tc_fun(X4,tc_fun(X3,tc_bool))) = c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_fun(X4,tc_bool))),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_883]) ).
cnf(c_0_886_0,axiom,
c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortranclp(X1,X2),c_Transitive__Closure_Ortranclp(X3,X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2) = c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_fun(X2,tc_bool))),X2),
inference(literals_permutation,[status(thm)],[c_0_886]) ).
cnf(c_0_905_0,axiom,
hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
inference(literals_permutation,[status(thm)],[c_0_905]) ).
cnf(c_0_908_0,axiom,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X3,X4)),c_Lambda_Osubst(X2,X3,X4)) = c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_908]) ).
cnf(c_0_943_0,axiom,
c_Transitive__Closure_Ortranclp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_943]) ).
cnf(c_0_953_0,axiom,
c_Predicate_Oconversep(c_Transitive__Closure_Otranclp(X1,X2),X2,X2) = c_Transitive__Closure_Otranclp(c_Predicate_Oconversep(X1,X2,X2),X2),
inference(literals_permutation,[status(thm)],[c_0_953]) ).
cnf(c_0_954_0,axiom,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(X1,X3)),c_Lambda_Olift(X2,X3)) = c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3),
inference(literals_permutation,[status(thm)],[c_0_954]) ).
cnf(c_0_955_0,axiom,
hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)),
inference(literals_permutation,[status(thm)],[c_0_955]) ).
cnf(c_0_956_0,axiom,
hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X1,X2),X3),X3)),
inference(literals_permutation,[status(thm)],[c_0_956]) ).
cnf(c_0_959_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otranclp(X1,X2),c_fequal(X2),tc_fun(X2,tc_fun(X2,tc_bool))) = c_Transitive__Closure_Ortranclp(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_959]) ).
cnf(c_0_963_0,axiom,
c_Predicate_Oconversep(c_Predicate_Oconversep(X1,X2,X3),X3,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_963]) ).
cnf(c_0_974_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(literals_permutation,[status(thm)],[c_0_974]) ).
cnf(c_0_981_0,axiom,
c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_981]) ).
cnf(c_0_983_0,axiom,
c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_983]) ).
cnf(c_0_984_0,axiom,
c_Predicate_Oconversep(c_fequal(X1),X1,X1) = c_fequal(X1),
inference(literals_permutation,[status(thm)],[c_0_984]) ).
cnf(c_0_992_0,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_992]) ).
cnf(c_0_993_0,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_993]) ).
cnf(c_0_994_0,axiom,
c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(X1,X2),X2) = c_Transitive__Closure_Ortranclp(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_994]) ).
cnf(c_0_997_0,axiom,
hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X1))),
inference(literals_permutation,[status(thm)],[c_0_997]) ).
cnf(c_0_1002_0,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
inference(literals_permutation,[status(thm)],[c_0_1002]) ).
cnf(c_0_1007_0,axiom,
class_Lattices_Olattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_1007]) ).
cnf(c_0_1008_0,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_1008]) ).
cnf(c_0_1009_0,axiom,
class_Lattices_Olower__semilattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_1009]) ).
cnf(c_0_1010_0,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_1010]) ).
cnf(c_0_1011_0,axiom,
class_Lattices_Olattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1011]) ).
cnf(c_0_1012_0,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1012]) ).
cnf(c_0_1013_0,axiom,
class_Lattices_Olower__semilattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1013]) ).
cnf(c_0_1014_0,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1014]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_1_002,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
c_0_1 ).
cnf(c_0_3_004,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_214,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ad873c.p',c_0_904_1) ).
cnf(c_787,plain,
( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
inference(copy,[status(esa)],[c_214]) ).
cnf(c_52107,plain,
( ~ hBOOL(hAPP(c_InductTermi_OIT,v_t))
| hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)) ),
inference(instantiation,[status(thm)],[c_787]) ).
cnf(c_8,plain,
hBOOL(hAPP(c_InductTermi_OIT,v_t)),
file('/export/starexec/sandbox/tmp/iprover_modulo_ad873c.p',c_0_1002_0) ).
cnf(c_407,negated_conjecture,
~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)),
file('/export/starexec/sandbox/tmp/iprover_modulo_ad873c.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_52107,c_8,c_407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 06:43:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.20/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.44 % Orientation found
% 0.20/0.44 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a4667.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ad873c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_23cdc1 | grep -v "SZS"
% 0.20/0.46
% 0.20/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ iProver source info
% 0.20/0.46
% 0.20/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.46 % git: non_committed_changes: true
% 0.20/0.46 % git: last_make_outside_of_git: true
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 150.28/150.46 % --bmc1_dump_unsat_core_tptp false
% 150.28/150.46 % --bmc1_dump_file -
% 150.28/150.46 % --bmc1_ucm_expand_uc_limit 128
% 150.28/150.46 % --bmc1_ucm_n_expand_iterations 6
% 150.28/150.46 % --bmc1_ucm_extend_mode 1
% 150.28/150.46 % --bmc1_ucm_init_mode 2
% 150.28/150.46 % --bmc1_ucm_cone_mode none
% 150.28/150.46 % --bmc1_ucm_reduced_relation_type 0
% 150.28/150.46 % --bmc1_ucm_relax_model 4
% 150.28/150.46 % --bmc1_ucm_full_tr_after_sat true
% 150.28/150.46 % --bmc1_ucm_expand_neg_assumptions false
% 150.28/150.46 % --bmc1_ucm_layered_model none
% 150.28/150.46 % --bmc1_ucm_max_lemma_size 10
% 150.28/150.46
% 150.28/150.46 % ------ AIG Options
% 150.28/150.46
% 150.28/150.46 % --aig_mode false
% 150.28/150.46
% 150.28/150.46 % ------ Instantiation Options
% 150.28/150.46
% 150.28/150.46 % --instantiation_flag true
% 150.28/150.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.28/150.46 % --inst_solver_per_active 750
% 150.28/150.46 % --inst_solver_calls_frac 0.5
% 150.28/150.46 % --inst_passive_queue_type priority_queues
% 150.28/150.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.28/150.46 % --inst_passive_queues_freq [25;2]
% 150.28/150.46 % --inst_dismatching true
% 150.28/150.46 % --inst_eager_unprocessed_to_passive true
% 150.28/150.46 % --inst_prop_sim_given true
% 150.28/150.46 % --inst_prop_sim_new false
% 150.28/150.46 % --inst_orphan_elimination true
% 150.28/150.46 % --inst_learning_loop_flag true
% 150.28/150.46 % --inst_learning_start 3000
% 150.28/150.46 % --inst_learning_factor 2
% 150.28/150.46 % --inst_start_prop_sim_after_learn 3
% 150.28/150.46 % --inst_sel_renew solver
% 150.28/150.46 % --inst_lit_activity_flag true
% 150.28/150.46 % --inst_out_proof true
% 150.28/150.46
% 150.28/150.46 % ------ Resolution Options
% 150.28/150.46
% 150.28/150.46 % --resolution_flag true
% 150.28/150.46 % --res_lit_sel kbo_max
% 150.28/150.46 % --res_to_prop_solver none
% 150.28/150.46 % --res_prop_simpl_new false
% 150.28/150.46 % --res_prop_simpl_given false
% 150.28/150.46 % --res_passive_queue_type priority_queues
% 150.28/150.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.28/150.46 % --res_passive_queues_freq [15;5]
% 150.28/150.46 % --res_forward_subs full
% 150.28/150.46 % --res_backward_subs full
% 150.28/150.46 % --res_forward_subs_resolution true
% 150.28/150.46 % --res_backward_subs_resolution true
% 150.28/150.46 % --res_orphan_elimination false
% 150.28/150.46 % --res_time_limit 1000.
% 150.28/150.46 % --res_out_proof true
% 150.28/150.46 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a4667.s
% 150.28/150.46 % --modulo true
% 150.28/150.46
% 150.28/150.46 % ------ Combination Options
% 150.28/150.46
% 150.28/150.46 % --comb_res_mult 1000
% 150.28/150.46 % --comb_inst_mult 300
% 150.28/150.46 % ------
% 150.28/150.46
% 150.28/150.46 % ------ Parsing...% successful
% 150.28/150.46
% 150.28/150.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.28/150.46
% 150.28/150.46 % ------ Proving...
% 150.28/150.46 % ------ Problem Properties
% 150.28/150.46
% 150.28/150.46 %
% 150.28/150.46 % EPR false
% 150.28/150.46 % Horn false
% 150.28/150.46 % Has equality true
% 150.28/150.46
% 150.28/150.46 % % ------ Input Options Time Limit: Unbounded
% 150.28/150.46
% 150.28/150.46
% 150.28/150.46 Compiling...
% 150.28/150.46 Loading plugin: done.
% 150.28/150.46 %
% 150.28/150.46
% 150.28/150.46
% 150.28/150.46 % Time Out Real
% 150.28/150.46
% 150.28/150.46 % ------ Statistics
% 150.28/150.46
% 150.28/150.46 % ------ General
% 150.28/150.46
% 150.28/150.46 % num_of_input_clauses: 408
% 150.28/150.46 % num_of_input_neg_conjectures: 1
% 150.28/150.46 % num_of_splits: 0
% 150.28/150.46 % num_of_split_atoms: 0
% 150.28/150.46 % num_of_sem_filtered_clauses: 0
% 150.28/150.46 % num_of_subtypes: 0
% 150.28/150.46 % monotx_restored_types: 0
% 150.28/150.46 % sat_num_of_epr_types: 0
% 150.28/150.46 % sat_num_of_non_cyclic_types: 0
% 150.28/150.46 % sat_guarded_non_collapsed_types: 0
% 150.28/150.46 % is_epr: 0
% 150.28/150.46 % is_horn: 0
% 150.28/150.46 % has_eq: 1
% 150.28/150.46 % num_pure_diseq_elim: 0
% 150.28/150.46 % simp_replaced_by: 0
% 150.28/150.46 % res_preprocessed: 2
% 150.28/150.46 % prep_upred: 0
% 150.28/150.46 % prep_unflattend: 0
% 150.28/150.46 % pred_elim_cands: 0
% 150.28/150.46 % pred_elim: 0
% 150.28/150.46 % pred_elim_cl: 0
% 150.28/150.46 % pred_elim_cycles: 0
% 150.28/150.47 % forced_gc_time: 0
% 150.28/150.47 % gc_basic_clause_elim: 0
% 150.28/150.47 % parsing_time: 0.022
% 150.28/150.47 % sem_filter_time: 0.
% 150.28/150.47 % pred_elim_time: 0.
% 150.28/150.47 % out_proof_time: 0.
% 150.28/150.47 % monotx_time: 0.
% 150.28/150.47 % subtype_inf_time: 0.
% 150.28/150.47 % unif_index_cands_time: 0.
% 150.28/150.47 % unif_index_add_time: 0.
% 150.28/150.47 % total_time: 150.021
% 150.28/150.47 % num_of_symbols: 73
% 150.28/150.47 % num_of_terms: 1806
% 150.28/150.47
% 150.28/150.47 % ------ Propositional Solver
% 150.28/150.47
% 150.28/150.47 % prop_solver_calls: 1
% 150.28/150.47 % prop_fast_solver_calls: 3
% 150.28/150.47 % prop_num_of_clauses: 473
% 150.28/150.47 % prop_preprocess_simplified: 1147
% 150.28/150.47 % prop_fo_subsumed: 0
% 150.28/150.47 % prop_solver_time: 0.
% 150.28/150.47 % prop_fast_solver_time: 0.
% 150.28/150.47 % prop_unsat_core_time: 0.
% 150.28/150.47
% 150.28/150.47 % ------ QBF
% 150.28/150.47
% 150.28/150.47 % qbf_q_res: 0
% 150.28/150.47 % qbf_num_tautologies: 0
% 150.28/150.47 % qbf_prep_cycles: 0
% 150.28/150.47
% 150.28/150.47 % ------ BMC1
% 150.28/150.47
% 150.28/150.47 % bmc1_current_bound: -1
% 150.28/150.47 % bmc1_last_solved_bound: -1
% 150.28/150.47 % bmc1_unsat_core_size: -1
% 150.28/150.47 % bmc1_unsat_core_parents_size: -1
% 150.28/150.47 % bmc1_merge_next_fun: 0
% 150.28/150.47 % bmc1_unsat_core_clauses_time: 0.
% 150.28/150.47
% 150.28/150.47 % ------ Instantiation
% 150.28/150.47
% 150.28/150.47 % inst_num_of_clauses: 396
% 150.28/150.47 % inst_num_in_passive: 0
% 150.28/150.47 % inst_num_in_active: 0
% 150.28/150.47 % inst_num_in_unprocessed: 408
% 150.28/150.47 % inst_num_of_loops: 0
% 150.28/150.47 % inst_num_of_learning_restarts: 0
% 150.28/150.47 % inst_num_moves_active_passive: 0
% 150.28/150.47 % inst_lit_activity: 0
% 150.28/150.47 % inst_lit_activity_moves: 0
% 150.28/150.47 % inst_num_tautologies: 0
% 150.28/150.47 % inst_num_prop_implied: 0
% 150.28/150.47 % inst_num_existing_simplified: 0
% 150.28/150.47 % inst_num_eq_res_simplified: 0
% 150.28/150.47 % inst_num_child_elim: 0
% 150.28/150.47 % inst_num_of_dismatching_blockings: 0
% 150.28/150.47 % inst_num_of_non_proper_insts: 0
% 150.28/150.47 % inst_num_of_duplicates: 0
% 150.28/150.47 % inst_inst_num_from_inst_to_res: 0
% 150.28/150.47 % inst_dismatching_checking_time: 0.
% 150.28/150.47
% 150.28/150.47 % ------ Resolution
% 150.28/150.47
% 150.28/150.47 % res_num_of_clauses: 384
% 150.28/150.47 % res_num_in_passive: 0
% 150.28/150.47 % res_num_in_active: 181
% 150.28/150.47 % res_num_of_loops: 0
% 150.28/150.47 % res_forward_subset_subsumed: 182
% 150.28/150.47 % res_backward_subset_subsumed: 0
% 150.28/150.47 % res_forward_subsumed: 0
% 150.28/150.47 % res_backward_subsumed: 0
% 150.28/150.47 % res_forward_subsumption_resolution: 0
% 150.28/150.47 % res_backward_subsumption_resolution: 0
% 150.28/150.47 % res_clause_to_clause_subsumption: 0
% 150.28/150.47 % res_orphan_elimination: 0
% 150.28/150.47 % res_tautology_del: 0
% 150.28/150.47 % res_num_eq_res_simplified: 0
% 150.28/150.47 % res_num_sel_changes: 0
% 150.28/150.47 % res_moves_from_active_to_pass: 0
% 150.28/150.47
% 150.28/150.47 % Status Unknown
% 150.32/150.54 % Orienting using strategy ClausalAll
% 150.32/150.54 % Orientation found
% 150.32/150.54 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a4667.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ad873c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_975a2c | grep -v "SZS"
% 150.32/150.57
% 150.32/150.57 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.32/150.57
% 150.32/150.57 %
% 150.32/150.57 % ------ iProver source info
% 150.32/150.57
% 150.32/150.57 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.32/150.57 % git: non_committed_changes: true
% 150.32/150.57 % git: last_make_outside_of_git: true
% 150.32/150.57
% 150.32/150.57 %
% 150.32/150.57 % ------ Input Options
% 150.32/150.57
% 150.32/150.57 % --out_options all
% 150.32/150.57 % --tptp_safe_out true
% 150.32/150.57 % --problem_path ""
% 150.32/150.57 % --include_path ""
% 150.32/150.57 % --clausifier .//eprover
% 150.32/150.57 % --clausifier_options --tstp-format
% 150.32/150.57 % --stdin false
% 150.32/150.57 % --dbg_backtrace false
% 150.32/150.57 % --dbg_dump_prop_clauses false
% 150.32/150.57 % --dbg_dump_prop_clauses_file -
% 150.32/150.57 % --dbg_out_stat false
% 150.32/150.57
% 150.32/150.57 % ------ General Options
% 150.32/150.57
% 150.32/150.57 % --fof false
% 150.32/150.57 % --time_out_real 150.
% 150.32/150.57 % --time_out_prep_mult 0.2
% 150.32/150.57 % --time_out_virtual -1.
% 150.32/150.57 % --schedule none
% 150.32/150.57 % --ground_splitting input
% 150.32/150.57 % --splitting_nvd 16
% 150.32/150.57 % --non_eq_to_eq false
% 150.32/150.57 % --prep_gs_sim true
% 150.32/150.57 % --prep_unflatten false
% 150.32/150.57 % --prep_res_sim true
% 150.32/150.57 % --prep_upred true
% 150.32/150.57 % --res_sim_input true
% 150.32/150.57 % --clause_weak_htbl true
% 150.32/150.57 % --gc_record_bc_elim false
% 150.32/150.57 % --symbol_type_check false
% 150.32/150.57 % --clausify_out false
% 150.32/150.57 % --large_theory_mode false
% 150.32/150.57 % --prep_sem_filter none
% 150.32/150.57 % --prep_sem_filter_out false
% 150.32/150.57 % --preprocessed_out false
% 150.32/150.57 % --sub_typing false
% 150.32/150.57 % --brand_transform false
% 150.32/150.57 % --pure_diseq_elim true
% 150.32/150.57 % --min_unsat_core false
% 150.32/150.57 % --pred_elim true
% 150.32/150.57 % --add_important_lit false
% 150.32/150.57 % --soft_assumptions false
% 150.32/150.57 % --reset_solvers false
% 150.32/150.57 % --bc_imp_inh []
% 150.32/150.57 % --conj_cone_tolerance 1.5
% 150.32/150.57 % --prolific_symb_bound 500
% 150.32/150.57 % --lt_threshold 2000
% 150.32/150.57
% 150.32/150.57 % ------ SAT Options
% 150.32/150.57
% 150.32/150.57 % --sat_mode false
% 150.32/150.57 % --sat_fm_restart_options ""
% 150.32/150.57 % --sat_gr_def false
% 150.32/150.57 % --sat_epr_types true
% 150.32/150.57 % --sat_non_cyclic_types false
% 150.32/150.57 % --sat_finite_models false
% 150.32/150.57 % --sat_fm_lemmas false
% 150.32/150.57 % --sat_fm_prep false
% 150.32/150.57 % --sat_fm_uc_incr true
% 150.32/150.57 % --sat_out_model small
% 150.32/150.57 % --sat_out_clauses false
% 150.32/150.57
% 150.32/150.57 % ------ QBF Options
% 150.32/150.57
% 150.32/150.57 % --qbf_mode false
% 150.32/150.57 % --qbf_elim_univ true
% 150.32/150.57 % --qbf_sk_in true
% 150.32/150.57 % --qbf_pred_elim true
% 150.32/150.57 % --qbf_split 32
% 150.32/150.57
% 150.32/150.57 % ------ BMC1 Options
% 150.32/150.57
% 150.32/150.57 % --bmc1_incremental false
% 150.32/150.57 % --bmc1_axioms reachable_all
% 150.32/150.57 % --bmc1_min_bound 0
% 150.32/150.57 % --bmc1_max_bound -1
% 150.32/150.57 % --bmc1_max_bound_default -1
% 150.32/150.57 % --bmc1_symbol_reachability true
% 150.32/150.57 % --bmc1_property_lemmas false
% 150.32/150.57 % --bmc1_k_induction false
% 150.32/150.57 % --bmc1_non_equiv_states false
% 150.32/150.57 % --bmc1_deadlock false
% 150.32/150.57 % --bmc1_ucm false
% 150.32/150.57 % --bmc1_add_unsat_core none
% 150.32/150.57 % --bmc1_unsat_core_children false
% 150.32/150.57 % --bmc1_unsat_core_extrapolate_axioms false
% 150.32/150.57 % --bmc1_out_stat full
% 150.32/150.57 % --bmc1_ground_init false
% 150.32/150.57 % --bmc1_pre_inst_next_state false
% 150.32/150.57 % --bmc1_pre_inst_state false
% 150.32/150.57 % --bmc1_pre_inst_reach_state false
% 150.32/150.57 % --bmc1_out_unsat_core false
% 150.32/150.57 % --bmc1_aig_witness_out false
% 150.32/150.57 % --bmc1_verbose false
% 150.32/150.57 % --bmc1_dump_clauses_tptp false
% 150.95/151.34 % --bmc1_dump_unsat_core_tptp false
% 150.95/151.34 % --bmc1_dump_file -
% 150.95/151.34 % --bmc1_ucm_expand_uc_limit 128
% 150.95/151.34 % --bmc1_ucm_n_expand_iterations 6
% 150.95/151.34 % --bmc1_ucm_extend_mode 1
% 150.95/151.34 % --bmc1_ucm_init_mode 2
% 150.95/151.34 % --bmc1_ucm_cone_mode none
% 150.95/151.34 % --bmc1_ucm_reduced_relation_type 0
% 150.95/151.34 % --bmc1_ucm_relax_model 4
% 150.95/151.34 % --bmc1_ucm_full_tr_after_sat true
% 150.95/151.34 % --bmc1_ucm_expand_neg_assumptions false
% 150.95/151.34 % --bmc1_ucm_layered_model none
% 150.95/151.34 % --bmc1_ucm_max_lemma_size 10
% 150.95/151.34
% 150.95/151.34 % ------ AIG Options
% 150.95/151.34
% 150.95/151.34 % --aig_mode false
% 150.95/151.34
% 150.95/151.34 % ------ Instantiation Options
% 150.95/151.34
% 150.95/151.34 % --instantiation_flag true
% 150.95/151.34 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.95/151.34 % --inst_solver_per_active 750
% 150.95/151.34 % --inst_solver_calls_frac 0.5
% 150.95/151.34 % --inst_passive_queue_type priority_queues
% 150.95/151.34 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.95/151.34 % --inst_passive_queues_freq [25;2]
% 150.95/151.34 % --inst_dismatching true
% 150.95/151.34 % --inst_eager_unprocessed_to_passive true
% 150.95/151.34 % --inst_prop_sim_given true
% 150.95/151.34 % --inst_prop_sim_new false
% 150.95/151.34 % --inst_orphan_elimination true
% 150.95/151.34 % --inst_learning_loop_flag true
% 150.95/151.34 % --inst_learning_start 3000
% 150.95/151.34 % --inst_learning_factor 2
% 150.95/151.34 % --inst_start_prop_sim_after_learn 3
% 150.95/151.34 % --inst_sel_renew solver
% 150.95/151.34 % --inst_lit_activity_flag true
% 150.95/151.34 % --inst_out_proof true
% 150.95/151.34
% 150.95/151.34 % ------ Resolution Options
% 150.95/151.34
% 150.95/151.34 % --resolution_flag true
% 150.95/151.34 % --res_lit_sel kbo_max
% 150.95/151.34 % --res_to_prop_solver none
% 150.95/151.34 % --res_prop_simpl_new false
% 150.95/151.34 % --res_prop_simpl_given false
% 150.95/151.34 % --res_passive_queue_type priority_queues
% 150.95/151.34 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.95/151.34 % --res_passive_queues_freq [15;5]
% 150.95/151.34 % --res_forward_subs full
% 150.95/151.34 % --res_backward_subs full
% 150.95/151.34 % --res_forward_subs_resolution true
% 150.95/151.34 % --res_backward_subs_resolution true
% 150.95/151.34 % --res_orphan_elimination false
% 150.95/151.34 % --res_time_limit 1000.
% 150.95/151.34 % --res_out_proof true
% 150.95/151.34 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a4667.s
% 150.95/151.34 % --modulo true
% 150.95/151.34
% 150.95/151.34 % ------ Combination Options
% 150.95/151.34
% 150.95/151.34 % --comb_res_mult 1000
% 150.95/151.34 % --comb_inst_mult 300
% 150.95/151.34 % ------
% 150.95/151.34
% 150.95/151.34 % ------ Parsing...% successful
% 150.95/151.34
% 150.95/151.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.95/151.34
% 150.95/151.34 % ------ Proving...
% 150.95/151.34 % ------ Problem Properties
% 150.95/151.34
% 150.95/151.34 %
% 150.95/151.34 % EPR false
% 150.95/151.34 % Horn false
% 150.95/151.34 % Has equality true
% 150.95/151.34
% 150.95/151.34 % % ------ Input Options Time Limit: Unbounded
% 150.95/151.34
% 150.95/151.34
% 150.95/151.34 Compiling...
% 150.95/151.34 Loading plugin: done.
% 150.95/151.34 Compiling...
% 150.95/151.34 Loading plugin: done.
% 150.95/151.34 Compiling...
% 150.95/151.34 Loading plugin: done.
% 150.95/151.34 Compiling...
% 150.95/151.34 Loading plugin: done.
% 150.95/151.34 Compiling...
% 150.95/151.34 Loading plugin: done.
% 150.95/151.34 % % ------ Current options:
% 150.95/151.34
% 150.95/151.34 % ------ Input Options
% 150.95/151.34
% 150.95/151.34 % --out_options all
% 150.95/151.34 % --tptp_safe_out true
% 150.95/151.34 % --problem_path ""
% 150.95/151.34 % --include_path ""
% 150.95/151.34 % --clausifier .//eprover
% 150.95/151.34 % --clausifier_options --tstp-format
% 150.95/151.34 % --stdin false
% 150.95/151.34 % --dbg_backtrace false
% 150.95/151.34 % --dbg_dump_prop_clauses false
% 150.95/151.34 % --dbg_dump_prop_clauses_file -
% 150.95/151.34 % --dbg_out_stat false
% 150.95/151.34
% 150.95/151.34 % ------ General Options
% 150.95/151.34
% 150.95/151.34 % --fof false
% 150.95/151.34 % --time_out_real 150.
% 150.95/151.34 % --time_out_prep_mult 0.2
% 150.95/151.34 % --time_out_virtual -1.
% 150.95/151.34 % --schedule none
% 150.95/151.34 % --ground_splitting input
% 150.95/151.34 % --splitting_nvd 16
% 150.95/151.34 % --non_eq_to_eq false
% 150.95/151.34 % --prep_gs_sim true
% 150.95/151.34 % --prep_unflatten false
% 150.95/151.34 % --prep_res_sim true
% 150.95/151.34 % --prep_upred true
% 150.95/151.34 % --res_sim_input true
% 150.95/151.34 % --clause_weak_htbl true
% 150.95/151.34 % --gc_record_bc_elim false
% 150.95/151.34 % --symbol_type_check false
% 150.95/151.34 % --clausify_out false
% 150.95/151.34 % --large_theory_mode false
% 150.95/151.34 % --prep_sem_filter none
% 150.95/151.34 % --prep_sem_filter_out false
% 150.95/151.34 % --preprocessed_out false
% 150.95/151.34 % --sub_typing false
% 150.95/151.34 % --brand_transform false
% 150.95/151.34 % --pure_diseq_elim true
% 150.95/151.34 % --min_unsat_core false
% 150.95/151.34 % --pred_elim true
% 150.95/151.34 % --add_important_lit false
% 150.95/151.34 % --soft_assumptions false
% 150.95/151.34 % --reset_solvers false
% 150.95/151.34 % --bc_imp_inh []
% 150.95/151.34 % --conj_cone_tolerance 1.5
% 150.95/151.34 % --prolific_symb_bound 500
% 150.95/151.34 % --lt_threshold 2000
% 150.95/151.34
% 150.95/151.34 % ------ SAT Options
% 150.95/151.34
% 150.95/151.34 % --sat_mode false
% 150.95/151.34 % --sat_fm_restart_options ""
% 150.95/151.34 % --sat_gr_def false
% 150.95/151.34 % --sat_epr_types true
% 150.95/151.34 % --sat_non_cyclic_types false
% 150.95/151.34 % --sat_finite_models false
% 150.95/151.34 % --sat_fm_lemmas false
% 150.95/151.34 % --sat_fm_prep false
% 150.95/151.34 % --sat_fm_uc_incr true
% 150.95/151.34 % --sat_out_model small
% 150.95/151.34 % --sat_out_clauses false
% 150.95/151.34
% 150.95/151.34 % ------ QBF Options
% 150.95/151.34
% 150.95/151.34 % --qbf_mode false
% 150.95/151.34 % --qbf_elim_univ true
% 150.95/151.34 % --qbf_sk_in true
% 150.95/151.34 % --qbf_pred_elim true
% 150.95/151.34 % --qbf_split 32
% 150.95/151.34
% 150.95/151.34 % ------ BMC1 Options
% 150.95/151.34
% 150.95/151.34 % --bmc1_incremental false
% 150.95/151.34 % --bmc1_axioms reachable_all
% 150.95/151.34 % --bmc1_min_bound 0
% 150.95/151.34 % --bmc1_max_bound -1
% 150.95/151.34 % --bmc1_max_bound_default -1
% 150.95/151.34 % --bmc1_symbol_reachability true
% 150.95/151.34 % --bmc1_property_lemmas false
% 150.95/151.34 % --bmc1_k_induction false
% 150.95/151.34 % --bmc1_non_equiv_states false
% 150.95/151.34 % --bmc1_deadlock false
% 150.95/151.34 % --bmc1_ucm false
% 150.95/151.34 % --bmc1_add_unsat_core none
% 150.95/151.34 % --bmc1_unsat_core_children false
% 150.95/151.34 % --bmc1_unsat_core_extrapolate_axioms false
% 150.95/151.34 % --bmc1_out_stat full
% 150.95/151.34 % --bmc1_ground_init false
% 150.95/151.34 % --bmc1_pre_inst_next_state false
% 150.95/151.34 % --bmc1_pre_inst_state false
% 150.95/151.34 % --bmc1_pre_inst_reach_state false
% 150.95/151.34 % --bmc1_out_unsat_core false
% 150.95/151.34 % --bmc1_aig_witness_out false
% 150.95/151.34 % --bmc1_verbose false
% 150.95/151.34 % --bmc1_dump_clauses_tptp false
% 150.95/151.34 % --bmc1_dump_unsat_core_tptp false
% 150.95/151.34 % --bmc1_dump_file -
% 150.95/151.34 % --bmc1_ucm_expand_uc_limit 128
% 150.95/151.34 % --bmc1_ucm_n_expand_iterations 6
% 150.95/151.34 % --bmc1_ucm_extend_mode 1
% 150.95/151.34 % --bmc1_ucm_init_mode 2
% 150.95/151.34 % --bmc1_ucm_cone_mode none
% 150.95/151.34 % --bmc1_ucm_reduced_relation_type 0
% 150.95/151.34 % --bmc1_ucm_relax_model 4
% 150.95/151.34 % --bmc1_ucm_full_tr_after_sat true
% 150.95/151.34 % --bmc1_ucm_expand_neg_assumptions false
% 150.95/151.34 % --bmc1_ucm_layered_model none
% 150.95/151.34 % --bmc1_ucm_max_lemma_size 10
% 150.95/151.34
% 150.95/151.34 % ------ AIG Options
% 150.95/151.34
% 150.95/151.34 % --aig_mode false
% 150.95/151.34
% 150.95/151.34 % ------ Instantiation Options
% 150.95/151.34
% 150.95/151.34 % --instantiation_flag true
% 150.95/151.34 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.95/151.34 % --inst_solver_per_active 750
% 150.95/151.34 % --inst_solver_calls_frac 0.5
% 150.95/151.34 % --inst_passive_queue_type priority_queues
% 150.95/151.34 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 153.19/153.43 % --inst_passive_queues_freq [25;2]
% 153.19/153.43 % --inst_dismatching true
% 153.19/153.43 % --inst_eager_unprocessed_to_passive true
% 153.19/153.43 % --inst_prop_sim_given true
% 153.19/153.43 % --inst_prop_sim_new false
% 153.19/153.43 % --inst_orphan_elimination true
% 153.19/153.43 % --inst_learning_loop_flag true
% 153.19/153.43 % --inst_learning_start 3000
% 153.19/153.43 % --inst_learning_factor 2
% 153.19/153.43 % --inst_start_prop_sim_after_learn 3
% 153.19/153.43 % --inst_sel_renew solver
% 153.19/153.43 % --inst_lit_activity_flag true
% 153.19/153.43 % --inst_out_proof true
% 153.19/153.43
% 153.19/153.43 % ------ Resolution Options
% 153.19/153.43
% 153.19/153.43 % --resolution_flag true
% 153.19/153.43 % --res_lit_sel kbo_max
% 153.19/153.43 % --res_to_prop_solver none
% 153.19/153.43 % --res_prop_simpl_new false
% 153.19/153.43 % --res_prop_simpl_given false
% 153.19/153.43 % --res_passive_queue_type priority_queues
% 153.19/153.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 153.19/153.43 % --res_passive_queues_freq [15;5]
% 153.19/153.43 % --res_forward_subs full
% 153.19/153.43 % --res_backward_subs full
% 153.19/153.43 % --res_forward_subs_resolution true
% 153.19/153.43 % --res_backward_subs_resolution true
% 153.19/153.43 % --res_orphan_elimination false
% 153.19/153.43 % --res_time_limit 1000.
% 153.19/153.43 % --res_out_proof true
% 153.19/153.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_3a4667.s
% 153.19/153.43 % --modulo true
% 153.19/153.43
% 153.19/153.43 % ------ Combination Options
% 153.19/153.43
% 153.19/153.43 % --comb_res_mult 1000
% 153.19/153.43 % --comb_inst_mult 300
% 153.19/153.43 % ------
% 153.19/153.43
% 153.19/153.43
% 153.19/153.43
% 153.19/153.43 % ------ Proving...
% 153.19/153.43 %
% 153.19/153.43
% 153.19/153.43
% 153.19/153.43 % ------ Statistics
% 153.19/153.43
% 153.19/153.43 % ------ General
% 153.19/153.43
% 153.19/153.43 % num_of_input_clauses: 408
% 153.19/153.43 % num_of_input_neg_conjectures: 1
% 153.19/153.43 % num_of_splits: 0
% 153.19/153.43 % num_of_split_atoms: 0
% 153.19/153.43 % num_of_sem_filtered_clauses: 0
% 153.19/153.43 % num_of_subtypes: 0
% 153.19/153.43 % monotx_restored_types: 0
% 153.19/153.43 % sat_num_of_epr_types: 0
% 153.19/153.43 % sat_num_of_non_cyclic_types: 0
% 153.19/153.43 % sat_guarded_non_collapsed_types: 0
% 153.19/153.43 % is_epr: 0
% 153.19/153.43 % is_horn: 0
% 153.19/153.43 % has_eq: 1
% 153.19/153.43 % num_pure_diseq_elim: 0
% 153.19/153.43 % simp_replaced_by: 0
% 153.19/153.43 % res_preprocessed: 2
% 153.19/153.43 % prep_upred: 0
% 153.19/153.43 % prep_unflattend: 0
% 153.19/153.43 % pred_elim_cands: 0
% 153.19/153.43 % pred_elim: 0
% 153.19/153.43 % pred_elim_cl: 0
% 153.19/153.43 % pred_elim_cycles: 0
% 153.19/153.43 % forced_gc_time: 0
% 153.19/153.43 % gc_basic_clause_elim: 0
% 153.19/153.43 % parsing_time: 0.024
% 153.19/153.43 % sem_filter_time: 0.
% 153.19/153.43 % pred_elim_time: 0.
% 153.19/153.43 % out_proof_time: 0.
% 153.19/153.43 % monotx_time: 0.
% 153.19/153.43 % subtype_inf_time: 0.
% 153.19/153.43 % unif_index_cands_time: 0.006
% 153.19/153.43 % unif_index_add_time: 0.003
% 153.19/153.43 % total_time: 2.886
% 153.19/153.43 % num_of_symbols: 73
% 153.19/153.43 % num_of_terms: 49505
% 153.19/153.43
% 153.19/153.43 % ------ Propositional Solver
% 153.19/153.43
% 153.19/153.43 % prop_solver_calls: 2
% 153.19/153.43 % prop_fast_solver_calls: 3
% 153.19/153.43 % prop_num_of_clauses: 475
% 153.19/153.43 % prop_preprocess_simplified: 1954
% 153.19/153.43 % prop_fo_subsumed: 0
% 153.19/153.43 % prop_solver_time: 0.
% 153.19/153.43 % prop_fast_solver_time: 0.
% 153.19/153.43 % prop_unsat_core_time: 0.
% 153.19/153.43
% 153.19/153.43 % ------ QBF
% 153.19/153.43
% 153.19/153.43 % qbf_q_res: 0
% 153.19/153.43 % qbf_num_tautologies: 0
% 153.19/153.43 % qbf_prep_cycles: 0
% 153.19/153.43
% 153.19/153.43 % ------ BMC1
% 153.19/153.43
% 153.19/153.43 % bmc1_current_bound: -1
% 153.19/153.43 % bmc1_last_solved_bound: -1
% 153.19/153.43 % bmc1_unsat_core_size: -1
% 153.19/153.43 % bmc1_unsat_core_parents_size: -1
% 153.19/153.43 % bmc1_merge_next_fun: 0
% 153.19/153.43 % bmc1_unsat_core_clauses_time: 0.
% 153.19/153.43
% 153.19/153.43 % ------ Instantiation
% 153.19/153.43
% 153.19/153.43 % inst_num_of_clauses: 396
% 153.19/153.43 % inst_num_in_passive: 384
% 153.19/153.44 % inst_num_in_active: 8
% 153.19/153.44 % inst_num_in_unprocessed: 2
% 153.19/153.44 % inst_num_of_loops: 10
% 153.19/153.44 % inst_num_of_learning_restarts: 0
% 153.19/153.44 % inst_num_moves_active_passive: 0
% 153.19/153.44 % inst_lit_activity: 3
% 153.19/153.44 % inst_lit_activity_moves: 0
% 153.19/153.44 % inst_num_tautologies: 0
% 153.19/153.44 % inst_num_prop_implied: 0
% 153.19/153.44 % inst_num_existing_simplified: 0
% 153.19/153.44 % inst_num_eq_res_simplified: 0
% 153.19/153.44 % inst_num_child_elim: 0
% 153.19/153.44 % inst_num_of_dismatching_blockings: 0
% 153.19/153.44 % inst_num_of_non_proper_insts: 3
% 153.19/153.44 % inst_num_of_duplicates: 2
% 153.19/153.44 % inst_inst_num_from_inst_to_res: 0
% 153.19/153.44 % inst_dismatching_checking_time: 0.
% 153.19/153.44
% 153.19/153.44 % ------ Resolution
% 153.19/153.44
% 153.19/153.44 % res_num_of_clauses: 21889
% 153.19/153.44 % res_num_in_passive: 20781
% 153.19/153.44 % res_num_in_active: 926
% 153.19/153.44 % res_num_of_loops: 1000
% 153.19/153.44 % res_forward_subset_subsumed: 1272
% 153.19/153.44 % res_backward_subset_subsumed: 58
% 153.19/153.44 % res_forward_subsumed: 238
% 153.19/153.44 % res_backward_subsumed: 18
% 153.19/153.44 % res_forward_subsumption_resolution: 20
% 153.19/153.44 % res_backward_subsumption_resolution: 0
% 153.19/153.44 % res_clause_to_clause_subsumption: 12041
% 153.19/153.44 % res_orphan_elimination: 0
% 153.19/153.44 % res_tautology_del: 28
% 153.19/153.44 % res_num_eq_res_simplified: 0
% 153.19/153.44 % res_num_sel_changes: 0
% 153.19/153.44 % res_moves_from_active_to_pass: 0
% 153.19/153.44
% 153.19/153.44 % Status Unsatisfiable
% 153.19/153.44 % SZS status Unsatisfiable
% 153.19/153.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------