TSTP Solution File: LCL764-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL764-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n006.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 11:39:15 EDT 2022
% Result : Unsatisfiable 151.92s 152.48s
% Output : CNFRefutation 152.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 331
% Syntax : Number of formulae : 2285 ( 752 unt; 0 def)
% Number of atoms : 4618 (1422 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 4336 (2003 ~;2333 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-5 aty)
% Number of functors : 95 ( 95 usr; 6 con; 0-5 aty)
% Number of variables : 7211 ( 793 sgn3117 !; 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,
! [X25,X24,X26,X27,X10] :
( ~ hBOOL(hAPP(X10,c_List_Olist_Olist__case(X27,X26,c_List_Olist_OCons(X24,X25,t_b),t_a,t_b)))
| hBOOL(hAPP(X10,hAPP(hAPP(X26,X24),X25))) ),
file('<stdin>',cls_list_Osplit__asm_1) ).
fof(c_0_1,axiom,
! [X9,X26,X27,X17,X10] :
( ~ hBOOL(hAPP(X10,c_List_Olist_Olist__case(X27,X26,c_List_Olist_OCons(X17,X9,t_b),t_a,t_b)))
| hBOOL(hAPP(X10,hAPP(hAPP(X26,X17),X9))) ),
file('<stdin>',cls_list_Osplit_1) ).
fof(c_0_2,axiom,
! [X26,X27,X10] :
( ~ hBOOL(hAPP(X10,c_List_Olist_Olist__case(X27,X26,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X10,X27)) ),
file('<stdin>',cls_list_Osplit_0) ).
fof(c_0_3,axiom,
! [X21,X22,X23,X17,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Oappend(X17,X22,X3),c_List_Oappend(X23,X21,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X22,X21,X3,X13)
| ~ c_List_Olist__all2(X10,X17,X23,X3,X13) ),
file('<stdin>',cls_list__all2__appendI_0) ).
fof(c_0_4,axiom,
! [X11,X1,X12,X17,X13,X3] : c_List_Ofoldr(X12,c_List_Oappend(X1,X11,X13),X17,X13,X3) = c_List_Ofoldr(X12,X1,c_List_Ofoldr(X12,X11,X17,X13,X3),X13,X3),
file('<stdin>',cls_foldr__append_0) ).
fof(c_0_5,axiom,
! [X11,X1,X12,X17,X13,X3] : c_List_Ofoldl(X12,X17,c_List_Oappend(X1,X11,X13),X3,X13) = c_List_Ofoldl(X12,c_List_Ofoldl(X12,X17,X1,X3,X13),X11,X3,X13),
file('<stdin>',cls_foldl__append_0) ).
fof(c_0_6,axiom,
! [X9,X26,X27,X17,X13,X3] : c_List_Olist_Olist__rec(X27,X26,c_List_Olist_OCons(X17,X9,X13),X3,X13) = hAPP(hAPP(hAPP(X26,X17),X9),c_List_Olist_Olist__rec(X27,X26,X9,X3,X13)),
file('<stdin>',cls_list_Orecs_I2_J_0) ).
fof(c_0_7,axiom,
! [X1,X5,X12,X17,X13,X3] : c_List_Ofoldr(X12,c_List_Olist_OCons(X5,X1,X13),X17,X13,X3) = hAPP(hAPP(X12,X5),c_List_Ofoldr(X12,X1,X17,X13,X3)),
file('<stdin>',cls_foldr_Osimps_I2_J_0) ).
fof(c_0_8,axiom,
! [X11,X4,X24,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X24,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X24,X11,X3,X13)
| ~ hBOOL(hAPP(hAPP(X10,X5),X4)) ),
file('<stdin>',cls_list__all2__Cons2_3) ).
fof(c_0_9,axiom,
! [X1,X25,X24,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X24,X25,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X25,X3,X13)
| ~ hBOOL(hAPP(hAPP(X10,X5),X24)) ),
file('<stdin>',cls_list__all2__Cons1_3) ).
fof(c_0_10,axiom,
! [X11,X4,X1,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X11,X3,X13)
| ~ hBOOL(hAPP(hAPP(X10,X5),X4)) ),
file('<stdin>',cls_list__all2__Cons_2) ).
fof(c_0_11,axiom,
! [X11,X4,X1,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,X1,X11,X3,X13)
| ~ c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13) ),
file('<stdin>',cls_list__all2__Cons_1) ).
fof(c_0_12,axiom,
! [X2,X36,X37,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Odrop(X2,X37,X3),c_List_Odrop(X2,X36,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X37,X36,X3,X13) ),
file('<stdin>',cls_list__all2__dropI_0) ).
fof(c_0_13,axiom,
! [X11,X1,X2,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Otake(X2,X1,X3),c_List_Otake(X2,X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X11,X3,X13) ),
file('<stdin>',cls_list__all2__takeI_0) ).
fof(c_0_14,axiom,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,X1,X11,X3,X13)
| ~ c_List_Olist__all2(X10,c_List_Orev(X1,X3),c_List_Orev(X11,X13),X3,X13) ),
file('<stdin>',cls_list__all2__rev_0) ).
fof(c_0_15,axiom,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,X1,c_List_Orev(X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,c_List_Orev(X1,X3),X11,X3,X13) ),
file('<stdin>',cls_list__all2__rev1_0) ).
fof(c_0_16,axiom,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Orev(X1,X3),X11,X3,X13)
| ~ c_List_Olist__all2(X10,X1,c_List_Orev(X11,X13),X3,X13) ),
file('<stdin>',cls_list__all2__rev1_1) ).
fof(c_0_17,axiom,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Orev(X1,X3),c_List_Orev(X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X11,X3,X13) ),
file('<stdin>',cls_list__all2__rev_1) ).
fof(c_0_18,axiom,
! [X1,X5,X12,X17,X13,X3] : c_List_Ofoldl(X12,X17,c_List_Olist_OCons(X5,X1,X13),X3,X13) = c_List_Ofoldl(X12,hAPP(hAPP(X12,X17),X5),X1,X3,X13),
file('<stdin>',cls_foldl__Cons_0) ).
fof(c_0_19,axiom,
! [X11,X4,X1,X5,X10,X13,X3] :
( hBOOL(hAPP(hAPP(X10,X5),X4))
| ~ c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13) ),
file('<stdin>',cls_list__all2__Cons_0) ).
fof(c_0_20,axiom,
! [X11,X10,X13,X3] :
( X11 = c_List_Olist_ONil(X13)
| ~ c_List_Olist__all2(X10,c_List_Olist_ONil(X3),X11,X3,X13) ),
file('<stdin>',cls_list__all2__Nil_0) ).
fof(c_0_21,axiom,
! [X1,X10,X13,X3] :
( X1 = c_List_Olist_ONil(X3)
| ~ c_List_Olist__all2(X10,X1,c_List_Olist_ONil(X13),X3,X13) ),
file('<stdin>',cls_list__all2__Nil2_0) ).
fof(c_0_22,axiom,
! [X11,X1,X3] :
( X1 = X11
| ~ c_List_Olist__all2(c_fequal(X3),X1,X11,X3,X3) ),
file('<stdin>',cls_list__all2__eq_1) ).
fof(c_0_23,axiom,
! [X11,X4,X1,X5,X16,X3] :
( hBOOL(hAPP(hAPP(X16,X4),X5))
| c_ListOrder_Ostep1(X16,X11,X1,X3)
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
file('<stdin>',cls_Snoc__step1__SnocD_1) ).
fof(c_0_24,axiom,
! [X11,X4,X1,X5,X16,X3] :
( X11 = X1
| c_ListOrder_Ostep1(X16,X11,X1,X3)
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
file('<stdin>',cls_Snoc__step1__SnocD_0) ).
fof(c_0_25,axiom,
! [X1,X10,X3] :
( hBOOL(hAPP(X10,X1))
| ~ hBOOL(hAPP(X10,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X10,X3),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X10,X3),c_List_Olist_ONil(X3),X3),X3)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(X3))) ),
file('<stdin>',cls_rev__induct_1) ).
fof(c_0_26,axiom,
! [X11,X4,X1,X5,X16,X3] :
( hBOOL(hAPP(hAPP(X16,X4),X5))
| X4 = X5
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
file('<stdin>',cls_Snoc__step1__SnocD_3) ).
fof(c_0_27,axiom,
! [X4,X1,X30,X12,X13,X3] : c_List_Omap(X12,c_List_Olist__update(X1,X30,X4,X13),X13,X3) = c_List_Olist__update(c_List_Omap(X12,X1,X13,X3),X30,hAPP(X12,X4),X3),
file('<stdin>',cls_map__update_0) ).
fof(c_0_28,axiom,
! [X1,X12,X13,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Omap(X12,c_List_Olinorder__class_Osort__key(X12,X1,X13,X3),X13,X3),X3) ),
file('<stdin>',cls_sorted__sort__key_0) ).
fof(c_0_29,axiom,
! [X1,X40,X5,X41,X6,X3] :
( c_List_Olist__update(c_List_Olist__update(X1,X6,X5,X3),X41,X40,X3) = c_List_Olist__update(c_List_Olist__update(X1,X41,X40,X3),X6,X5,X3)
| X6 = X41 ),
file('<stdin>',cls_list__update__swap_0) ).
fof(c_0_30,axiom,
! [X11,X4,X1,X5,X16,X3] :
( X11 = X1
| X4 = X5
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
file('<stdin>',cls_Snoc__step1__SnocD_2) ).
fof(c_0_31,axiom,
! [X11,X1,X12,X13,X3] : c_List_Omap(X12,c_List_Oappend(X1,X11,X13),X13,X3) = c_List_Oappend(c_List_Omap(X12,X1,X13,X3),c_List_Omap(X12,X11,X13,X3),X3),
file('<stdin>',cls_map__append_0) ).
fof(c_0_32,axiom,
! [X9,X26,X27,X17,X13,X3] : c_List_Olist_Olist__case(X27,X26,c_List_Olist_OCons(X17,X9,X13),X3,X13) = hAPP(hAPP(X26,X17),X9),
file('<stdin>',cls_list_Osimps_I5_J_0) ).
fof(c_0_33,axiom,
! [X10,X13,X3] : c_List_Olist__all2(X10,c_List_Olist_ONil(X3),c_List_Olist_ONil(X13),X3,X13),
file('<stdin>',cls_list__all2__Nil_1) ).
fof(c_0_34,axiom,
! [X26,X27,X13,X3] : c_List_Olist_Olist__case(X27,X26,c_List_Olist_ONil(X13),X3,X13) = X27,
file('<stdin>',cls_list_Osimps_I4_J_0) ).
fof(c_0_35,axiom,
! [X45,X36,X13,X3] : c_Map_Omap__upds(X45,c_List_Olist_ONil(X3),X36,X3,X13) = X45,
file('<stdin>',cls_map__upds__Nil1_0) ).
fof(c_0_36,axiom,
! [X45,X37,X13,X3] : c_Map_Omap__upds(X45,X37,c_List_Olist_ONil(X13),X3,X13) = X45,
file('<stdin>',cls_map__upds__Nil2_0) ).
fof(c_0_37,axiom,
! [X26,X27,X13,X3] : c_List_Olist_Olist__rec(X27,X26,c_List_Olist_ONil(X13),X3,X13) = X27,
file('<stdin>',cls_list_Orecs_I1_J_0) ).
fof(c_0_38,axiom,
! [X12,X17,X13,X3] : c_List_Ofoldr(X12,c_List_Olist_ONil(X13),X17,X13,X3) = X17,
file('<stdin>',cls_foldr_Osimps_I1_J_0) ).
fof(c_0_39,axiom,
! [X12,X17,X13,X3] : c_List_Ofoldl(X12,X17,c_List_Olist_ONil(X13),X3,X13) = X17,
file('<stdin>',cls_foldl__Nil_0) ).
fof(c_0_40,axiom,
! [X5,X3] : c_List_Olist__all2(c_fequal(X3),X5,X5,X3,X3),
file('<stdin>',cls_list__all2__eq_0) ).
fof(c_0_41,axiom,
! [X11,X4,X1,X5,X16,X3] :
( c_ListOrder_Ostep1(X16,X11,X1,X3)
| hBOOL(hAPP(hAPP(X16,X4),X5))
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_Cons__step1__Cons_1) ).
fof(c_0_42,axiom,
! [X4,X1,X5,X6,X3] : c_List_Olist__update(c_List_Olist__update(X1,X6,X5,X3),X6,X4,X3) = c_List_Olist__update(X1,X6,X4,X3),
file('<stdin>',cls_list__update__overwrite_0) ).
fof(c_0_43,axiom,
! [X11,X4,X1,X5,X16,X3] :
( c_List_Olistrelp(X16,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X3),X3)
| ~ c_List_Olistrelp(X16,X1,X11,X3)
| ~ hBOOL(hAPP(hAPP(X16,X5),X4)) ),
file('<stdin>',cls_listrelp_OCons_0) ).
fof(c_0_44,axiom,
! [X11,X4,X1,X5,X16,X3] :
( c_ListOrder_Ostep1(X16,X11,X1,X3)
| X1 = X11
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_Cons__step1__Cons_3) ).
fof(c_0_45,axiom,
! [X1,X5,X12,X13,X3] : c_List_Oconcat__map(X12,c_List_Olist_OCons(X5,X1,X13),X13,X3) = c_List_Oappend(hAPP(X12,X5),c_List_Oconcat__map(X12,X1,X13,X3),X3),
file('<stdin>',cls_concat__map_Osimps_I2_J_0) ).
fof(c_0_46,axiom,
! [X1,X5,X12,X13,X3] : c_List_Omap(X12,c_List_Olist_OCons(X5,X1,X13),X13,X3) = c_List_Olist_OCons(hAPP(X12,X5),c_List_Omap(X12,X1,X13,X3),X3),
file('<stdin>',cls_map_Osimps_I2_J_0) ).
fof(c_0_47,axiom,
! [X25,X24,X12,X13,X3] : c_List_Olist_OCons(hAPP(X12,X24),c_List_Omap(X12,X25,X13,X3),X3) = c_List_Omap(X12,c_List_Olist_OCons(X24,X25,X13),X13,X3),
file('<stdin>',cls_Cons__eq__map__conv_3) ).
fof(c_0_48,axiom,
! [X24,X5,X12,X13,X3] : c_List_Omap(X12,c_List_Olist_OCons(X5,X24,X13),X13,X3) = c_List_Olist_OCons(hAPP(X12,X5),c_List_Omap(X12,X24,X13,X3),X3),
file('<stdin>',cls_map__eq__Cons__conv_3) ).
fof(c_0_49,axiom,
! [X4,X1,X5,X6,X3] : c_List_Olist__update(c_List_Olist_OCons(X5,X1,X3),c_Suc(X6),X4,X3) = c_List_Olist_OCons(X5,c_List_Olist__update(X1,X6,X4,X3),X3),
file('<stdin>',cls_list__update__code_I3_J_0) ).
fof(c_0_50,axiom,
! [X1,X2,X12,X13,X3] : c_List_Odrop(X2,c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Odrop(X2,X1,X13),X13,X3),
file('<stdin>',cls_drop__map_0) ).
fof(c_0_51,axiom,
! [X1,X2,X12,X13,X3] : c_List_Orotate(X2,c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Orotate(X2,X1,X13),X13,X3),
file('<stdin>',cls_rotate__map_0) ).
fof(c_0_52,axiom,
! [X1,X2,X12,X13,X3] : c_List_Otake(X2,c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Otake(X2,X1,X13),X13,X3),
file('<stdin>',cls_take__map_0) ).
fof(c_0_53,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X19,X10),v_sko__List__Xlistsp__Xinducts__2(X19,X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinducts_3) ).
fof(c_0_54,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X19,X10),v_sko__List__Xlistsp__Xinduct__2(X19,X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinduct_3) ).
fof(c_0_55,axiom,
! [X1,X10,X3] :
( ~ hBOOL(hAPP(X10,c_List_Ohd(c_List_OdropWhile(X10,X1,X3),X3)))
| c_List_OdropWhile(X10,X1,X3) = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_hd__dropWhile_0) ).
fof(c_0_56,axiom,
! [X11,X1,X5,X16,X3] :
( c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X5,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3)
| ~ c_ListOrder_Ostep1(X16,X11,X1,X3) ),
file('<stdin>',cls_Cons__step1__Cons_5) ).
fof(c_0_57,axiom,
! [X11,X1,X5,X16,X3] :
( ~ c_ListOrder_Ostep1(X16,X11,X1,X3)
| c_ListOrder_Ostep1(X16,c_List_Oappend(X11,X5,X3),c_List_Oappend(X1,X5,X3),X3) ),
file('<stdin>',cls_append__step1I_0) ).
fof(c_0_58,axiom,
! [X5,X14,X15,X16,X3] :
( c_ListOrder_Ostep1(X16,c_List_Oappend(X5,X14,X3),c_List_Oappend(X5,X15,X3),X3)
| ~ c_ListOrder_Ostep1(X16,X14,X15,X3) ),
file('<stdin>',cls_append__step1I_1) ).
fof(c_0_59,axiom,
! [X1,X12,X13,X3] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X12,X1,X3,X13),X3) ),
file('<stdin>',cls_distinct__sort_0) ).
fof(c_0_60,axiom,
! [X1,X12,X13,X3] :
( c_List_Odistinct(X1,X13)
| ~ c_List_Odistinct(c_List_Omap(X12,X1,X13,X3),X3) ),
file('<stdin>',cls_distinct__map_0) ).
fof(c_0_61,axiom,
! [X11,X4,X1,X5,X16,X3] :
( X5 = X4
| hBOOL(hAPP(hAPP(X16,X4),X5))
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_Cons__step1__Cons_0) ).
fof(c_0_62,axiom,
! [X1,X12,X13,X3] : c_List_Orev(c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Orev(X1,X13),X13,X3),
file('<stdin>',cls_rev__map_0) ).
fof(c_0_63,axiom,
! [X11,X4,X1,X5,X16,X3] :
( X5 = X4
| X1 = X11
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_Cons__step1__Cons_2) ).
fof(c_0_64,axiom,
! [X11,X1,X5,X3] :
( c_List_Osplice(c_List_Olist_OCons(X5,X1,X3),X11,X3) = c_List_Olist_OCons(X5,c_List_Olist_OCons(c_List_Ohd(X11,X3),c_List_Osplice(X1,c_List_Otl(X11,X3),X3),X3),X3)
| X11 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_splice_Osimps_I2_J_1) ).
fof(c_0_65,axiom,
! [X20,X4,X5,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X4,X20,X3),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X5,c_List_Olist_OCons(X4,X20,X3),X3),X3) ),
file('<stdin>',cls_sorted_Osimps_I3_J_1) ).
fof(c_0_66,axiom,
! [X11,X4,X1,X5,X3] : c_List_Osplice(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X3),X3) = c_List_Olist_OCons(X5,c_List_Olist_OCons(X4,c_List_Osplice(X1,X11,X3),X3),X3),
file('<stdin>',cls_splice__Cons__Cons_0) ).
fof(c_0_67,axiom,
! [X4,X24,X5,X16,X3] :
( ~ hBOOL(hAPP(hAPP(X16,X4),X24))
| c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X5,X3),c_List_Olist_OCons(X24,X5,X3),X3) ),
file('<stdin>',cls_Cons__step1__Cons_4) ).
fof(c_0_68,axiom,
! [X5,X18,X19,X3] :
( hBOOL(hAPP(X19,X5))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X5)) ),
file('<stdin>',cls_inf1E_0) ).
fof(c_0_69,axiom,
! [X5,X18,X19,X3] :
( hBOOL(hAPP(X18,X5))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X5)) ),
file('<stdin>',cls_inf1E_1) ).
fof(c_0_70,axiom,
! [X11,X4,X1,X5,X3] :
( c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| X5 = X4 ),
file('<stdin>',cls_append1__eq__conv_1) ).
fof(c_0_71,axiom,
! [X11,X4,X1,X5,X3] :
( c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| X1 = X11 ),
file('<stdin>',cls_append1__eq__conv_0) ).
fof(c_0_72,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X10),v_sko__List__Xtl__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_tl_Oinduct_1) ).
fof(c_0_73,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X10),v_sko__List__Xlast__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_last_Oinduct_1) ).
fof(c_0_74,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X10),v_sko__List__Xlistsum__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listsum_Oinduct_1) ).
fof(c_0_75,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X10),v_sko__List__Xdistinct__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_distinct_Oinduct_1) ).
fof(c_0_76,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X10),v_sko__List__Xsplice__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_splice_Oinduct_1) ).
fof(c_0_77,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X10),v_sko__List__Xremove1__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_remove1_Oinduct_1) ).
fof(c_0_78,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X10),v_sko__List__Xlistset__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listset_Oinduct_1) ).
fof(c_0_79,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X10),v_sko__List__Xzip__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_zip_Oinduct_1) ).
fof(c_0_80,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X10),v_sko__List__XdropWhile__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_dropWhile_Oinduct_1) ).
fof(c_0_81,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X10),v_sko__List__XtakeWhile__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_takeWhile_Oinduct_1) ).
fof(c_0_82,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X10),v_sko__List__XremoveAll__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_removeAll_Oinduct_1) ).
fof(c_0_83,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X10),v_sko__List__Xremdups__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_remdups_Oinduct_1) ).
fof(c_0_84,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X10),v_sko__List__Xlist__update__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list__update_Oinduct_1) ).
fof(c_0_85,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X10),v_sko__List__Xlist__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list_Oinduct_1) ).
fof(c_0_86,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X10),v_sko__List__Xlist__Xinducts__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list_Oinducts_1) ).
fof(c_0_87,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X10),v_sko__List__Xmap__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_map_Oinduct_1) ).
fof(c_0_88,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X10),v_sko__List__Xset__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_set_Oinduct_1) ).
fof(c_0_89,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X10),v_sko__List__Xtake__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_take_Oinduct_1) ).
fof(c_0_90,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X10),v_sko__List__Xhd__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_hd_Oinduct_1) ).
fof(c_0_91,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X10),v_sko__List__Xconcat__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_concat_Oinduct_1) ).
fof(c_0_92,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X10),v_sko__List__Xfoldl__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_foldl_Oinduct_1) ).
fof(c_0_93,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X10),v_sko__List__Xrev__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_rev_Oinduct_1) ).
fof(c_0_94,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X10),v_sko__List__Xdrop__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_drop_Oinduct_1) ).
fof(c_0_95,axiom,
! [X1,X12,X13,X3] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Odistinct(c_List_Olinorder__class_Osort__key(X12,X1,X3,X13),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__sort_1) ).
fof(c_0_96,axiom,
! [X11,X4,X3] : c_List_Orev(c_List_Oappend(c_List_Orev(X11,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),X3) = c_List_Olist_OCons(X4,X11,X3),
file('<stdin>',cls_rev__eq__Cons__iff_1) ).
fof(c_0_97,axiom,
! [X32,X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X18,c_Lattices_Olower__semilattice__class_Oinf(X19,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_Int__left__commute_0) ).
fof(c_0_98,axiom,
! [X32,X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_Int__assoc_0) ).
fof(c_0_99,axiom,
! [X1,X19,X3] :
( c_List_Olistsp(X19,X1,X3)
| ~ hBOOL(hAPP(X19,c_List_Osko__List__Xin__listsp__conv__set__1__1(X19,X1,X3))) ),
file('<stdin>',cls_in__listsp__conv__set_2) ).
fof(c_0_100,axiom,
! [X5,X18,X19,X3] :
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X5))
| ~ hBOOL(hAPP(X18,X5))
| ~ hBOOL(hAPP(X19,X5)) ),
file('<stdin>',cls_inf1I_0) ).
fof(c_0_101,axiom,
! [X11,X1,X10,X3] : c_List_Ofilter(X10,c_List_Oappend(X1,X11,X3),X3) = c_List_Oappend(c_List_Ofilter(X10,X1,X3),c_List_Ofilter(X10,X11,X3),X3),
file('<stdin>',cls_filter__append_0) ).
fof(c_0_102,axiom,
! [X1,X5,X30,X3] :
( c_List_Olist__update(X1,X30,X5,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_list__update__nonempty_0) ).
fof(c_0_103,axiom,
! [X1,X12,X13,X3] :
( c_List_Olist_ONil(X3) != c_List_Omap(X12,X1,X13,X3)
| X1 = c_List_Olist_ONil(X13) ),
file('<stdin>',cls_Nil__is__map__conv_0) ).
fof(c_0_104,axiom,
! [X1,X12,X13,X3] :
( c_List_Omap(X12,X1,X13,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X13) ),
file('<stdin>',cls_map__is__Nil__conv_0) ).
fof(c_0_105,axiom,
! [X1,X16,X3] : ~ c_ListOrder_Ostep1(X16,c_List_Olist_ONil(X3),X1,X3),
file('<stdin>',cls_not__Nil__step1_0) ).
fof(c_0_106,axiom,
! [X1,X16,X3] : ~ c_ListOrder_Ostep1(X16,X1,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_not__step1__Nil_0) ).
fof(c_0_107,axiom,
! [X42,X18,X19,X3] :
( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X42,X3)
| ~ c_List_Olistsp(X18,X42,X3)
| ~ c_List_Olistsp(X19,X42,X3) ),
file('<stdin>',cls_listsp__infI_0) ).
fof(c_0_108,axiom,
! [X1,X5,X10,X3] :
( c_List_Ofilter(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,c_List_Ofilter(X10,X1,X3),X3)
| ~ hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_filter_Osimps_I2_J_0) ).
fof(c_0_109,axiom,
! [X1,X5,X10,X3] :
( c_List_Olist__ex(X10,X1,X3)
| hBOOL(hAPP(X10,X5))
| ~ c_List_Olist__ex(X10,c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_list__ex_Osimps_I2_J_0) ).
fof(c_0_110,axiom,
! [X11,X1,X19,X3] :
( c_List_Olistsp(X19,c_List_Oappend(X1,X11,X3),X3)
| ~ c_List_Olistsp(X19,X11,X3)
| ~ c_List_Olistsp(X19,X1,X3) ),
file('<stdin>',cls_append__in__listsp__conv_2) ).
fof(c_0_111,axiom,
! [X11,X1,X10,X3] :
( c_List_Olist__all(X10,c_List_Oappend(X1,X11,X3),X3)
| ~ c_List_Olist__all(X10,X11,X3)
| ~ c_List_Olist__all(X10,X1,X3) ),
file('<stdin>',cls_list__all__append_2) ).
fof(c_0_112,axiom,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X31,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) ),
file('<stdin>',cls_inf__assoc_0) ).
fof(c_0_113,axiom,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X31,X3),X3) ),
file('<stdin>',cls_inf__left__commute_0) ).
fof(c_0_114,axiom,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X31,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I3_J_0) ).
fof(c_0_115,axiom,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X31,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I2_J_0) ).
fof(c_0_116,axiom,
! [X1,X5,X2,X3] : c_List_Otake(c_Suc(X2),c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,c_List_Otake(X2,X1,X3),X3),
file('<stdin>',cls_take__Suc__Cons_0) ).
fof(c_0_117,axiom,
! [X4,X1,X5,X3] :
( c_List_Oremove1(X5,c_List_Olist_OCons(X4,X1,X3),X3) = c_List_Olist_OCons(X4,c_List_Oremove1(X5,X1,X3),X3)
| X5 = X4 ),
file('<stdin>',cls_remove1_Osimps_I2_J_1) ).
fof(c_0_118,axiom,
! [X1,X5,X43,X3] : c_List_Oappend(X1,c_List_Oappend(X5,X43,X3),X3) = c_List_Oappend(c_List_Oappend(X1,X5,X3),X43,X3),
file('<stdin>',cls_append__eq__append__conv2_5) ).
fof(c_0_119,axiom,
! [X20,X11,X5,X3] : c_List_Oappend(c_List_Oappend(X20,X5,X3),X11,X3) = c_List_Oappend(X20,c_List_Oappend(X5,X11,X3),X3),
file('<stdin>',cls_append__eq__append__conv2_4) ).
fof(c_0_120,axiom,
! [X28,X1,X15,X3] : c_List_Oappend(X1,c_List_Oappend(X28,X15,X3),X3) = c_List_Oappend(c_List_Oappend(X1,X28,X3),X15,X3),
file('<stdin>',cls_append__eq__appendI_0) ).
fof(c_0_121,axiom,
! [X20,X11,X1,X3] : c_List_Oappend(c_List_Oappend(X1,X11,X3),X20,X3) = c_List_Oappend(X1,c_List_Oappend(X11,X20,X3),X3),
file('<stdin>',cls_append__assoc_0) ).
fof(c_0_122,axiom,
! [X20,X28,X5,X3] : c_List_Olist_OCons(X5,c_List_Oappend(X28,X20,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X5,X28,X3),X20,X3),
file('<stdin>',cls_Cons__eq__appendI_0) ).
fof(c_0_123,axiom,
! [X20,X24,X5,X3] : c_List_Olist_OCons(X5,c_List_Oappend(X24,X20,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X5,X24,X3),X20,X3),
file('<stdin>',cls_Cons__eq__append__conv_5) ).
fof(c_0_124,axiom,
! [X11,X1,X5,X3] : c_List_Oappend(c_List_Olist_OCons(X5,X1,X3),X11,X3) = c_List_Olist_OCons(X5,c_List_Oappend(X1,X11,X3),X3),
file('<stdin>',cls_append__Cons_0) ).
fof(c_0_125,axiom,
! [X20,X24,X5,X3] : c_List_Oappend(c_List_Olist_OCons(X5,X24,X3),X20,X3) = c_List_Olist_OCons(X5,c_List_Oappend(X24,X20,X3),X3),
file('<stdin>',cls_append__eq__Cons__conv_5) ).
fof(c_0_126,axiom,
! [X1,X5,X3] : c_List_Orev(c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Oappend(c_List_Orev(X1,X3),c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),
file('<stdin>',cls_rev_Osimps_I2_J_0) ).
fof(c_0_127,axiom,
! [X11,X4,X5,X3] :
( c_List_Omember(X5,X11,X3)
| X5 = X4
| ~ c_List_Omember(X5,c_List_Olist_OCons(X4,X11,X3),X3) ),
file('<stdin>',cls_List_Omember_Osimps_I2_J_0) ).
fof(c_0_128,axiom,
! [X11,X1,X19,X3] :
( c_List_Olistsp(X19,X1,X3)
| ~ c_List_Olistsp(X19,c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_append__in__listsp__conv_0) ).
fof(c_0_129,axiom,
! [X11,X1,X19,X3] :
( c_List_Olistsp(X19,X11,X3)
| ~ c_List_Olistsp(X19,c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_append__in__listsp__conv_1) ).
fof(c_0_130,axiom,
! [X11,X1,X10,X3] :
( c_List_Olist__all(X10,X11,X3)
| ~ c_List_Olist__all(X10,c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_list__all__append_1) ).
fof(c_0_131,axiom,
! [X11,X1,X10,X3] :
( c_List_Olist__all(X10,X1,X3)
| ~ c_List_Olist__all(X10,c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_list__all__append_0) ).
fof(c_0_132,axiom,
! [X1,X5,X10,X3] :
( c_List_Olist__all(X10,X1,X3)
| ~ c_List_Olist__all(X10,c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_list__all_Osimps_I2_J_1) ).
fof(c_0_133,axiom,
! [X11,X4,X1,X3] :
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X11,X3)
| X1 = c_List_Oappend(c_List_Orev(X11,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
file('<stdin>',cls_rev__eq__Cons__iff_0) ).
fof(c_0_134,axiom,
! [X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),
file('<stdin>',cls_Int__left__absorb_0) ).
fof(c_0_135,axiom,
! [X1,X2,X3] :
( c_List_Otake(c_Suc(X2),X1,X3) = c_List_Olist_OCons(c_List_Ohd(X1,X3),c_List_Otake(X2,c_List_Otl(X1,X3),X3),X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_take__Suc_0) ).
fof(c_0_136,axiom,
! [X1,X5,X10,X3] :
( c_List_Olist__all(X10,c_List_Olist_OCons(X5,X1,X3),X3)
| ~ c_List_Olist__all(X10,X1,X3)
| ~ hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_list__all_Osimps_I2_J_2) ).
fof(c_0_137,axiom,
! [X1,X5,X13] : c_List_Orotate1(c_List_Olist_OCons(X5,X1,X13),X13) = c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X13),X13),X13),
file('<stdin>',cls_rotate__simps_1) ).
fof(c_0_138,axiom,
! [X1,X5,X10,X3] :
( hBOOL(hAPP(X10,X5))
| ~ c_List_Olist__all(X10,c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_list__all_Osimps_I2_J_0) ).
fof(c_0_139,axiom,
! [X1,X3] :
( c_List_Orotate1(X1,X3) = c_List_Oappend(c_List_Otl(X1,X3),c_List_Olist_OCons(c_List_Ohd(X1,X3),c_List_Olist_ONil(X3),X3),X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rotate1__hd__tl_0) ).
fof(c_0_140,axiom,
! [X1,X2,X3] : c_List_Oappend(c_List_Otake(X2,X1,X3),c_List_Odrop(X2,X1,X3),X3) = X1,
file('<stdin>',cls_append__take__drop__id_0) ).
fof(c_0_141,axiom,
! [X12,X13,X3] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Olinorder__class_Osort__key(X12,c_List_Olist_ONil(X3),X3,X13) = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_sort__key_Osimps_I1_J_0) ).
fof(c_0_142,axiom,
! [X1,X5,X10,X3] :
( c_List_OdropWhile(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_OdropWhile(X10,X1,X3)
| ~ hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_dropWhile_Osimps_I2_J_0) ).
fof(c_0_143,axiom,
! [X16,X3] : c_List_Olistrelp(X16,c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_listrelp_ONil_0) ).
fof(c_0_144,axiom,
! [X12,X13,X3] : c_List_Olist_ONil(X3) = c_List_Omap(X12,c_List_Olist_ONil(X13),X13,X3),
file('<stdin>',cls_Nil__is__map__conv_1) ).
fof(c_0_145,axiom,
! [X44,X6,X3] : c_List_Olist__update(c_List_Olist_ONil(X3),X6,X44,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_list__update_Osimps_I1_J_0) ).
fof(c_0_146,axiom,
! [X4,X6,X3] : c_List_Olist__update(c_List_Olist_ONil(X3),X6,X4,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_list__update__code_I1_J_0) ).
fof(c_0_147,axiom,
! [X5,X30,X3] : c_List_Olist__update(c_List_Olist_ONil(X3),X30,X5,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_list__update__nonempty_1) ).
fof(c_0_148,axiom,
! [X12,X13,X3] : c_List_Ofiltermap(X12,c_List_Olist_ONil(X13),X13,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_filtermap_Osimps_I1_J_0) ).
fof(c_0_149,axiom,
! [X12,X13,X3] : c_List_Omap(X12,c_List_Olist_ONil(X13),X13,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_map__is__Nil__conv_1) ).
fof(c_0_150,axiom,
! [X12,X13,X3] : c_List_Oconcat__map(X12,c_List_Olist_ONil(X13),X13,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_concat__map_Osimps_I1_J_0) ).
fof(c_0_151,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X10,v_sko__List__Xlistsp__Xinduct__2(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinduct_2) ).
fof(c_0_152,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X19,v_sko__List__Xlistsp__Xinduct__1(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinduct_0) ).
fof(c_0_153,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X10,v_sko__List__Xlistsp__Xinducts__2(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinducts_2) ).
fof(c_0_154,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X19,v_sko__List__Xlistsp__Xinducts__1(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinducts_0) ).
fof(c_0_155,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| c_List_Olistsp(X19,v_sko__List__Xlistsp__Xinduct__2(X19,X10),t_a)
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinduct_1) ).
fof(c_0_156,axiom,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| c_List_Olistsp(X19,v_sko__List__Xlistsp__Xinducts__2(X19,X10),t_a)
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
file('<stdin>',cls_listsp_Oinducts_1) ).
fof(c_0_157,axiom,
! [X11,X4,X5,X3] :
( c_List_Omember(X5,c_List_Olist_OCons(X4,X11,X3),X3)
| ~ c_List_Omember(X5,X11,X3) ),
file('<stdin>',cls_List_Omember_Osimps_I2_J_2) ).
fof(c_0_158,axiom,
! [X1,X5,X10,X3] :
( c_List_Olist__ex(X10,c_List_Olist_OCons(X5,X1,X3),X3)
| ~ c_List_Olist__ex(X10,X1,X3) ),
file('<stdin>',cls_list__ex_Osimps_I2_J_2) ).
fof(c_0_159,axiom,
! [X1,X5,X10,X3] :
( c_List_Ofilter(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Ofilter(X10,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_filter_Osimps_I2_J_1) ).
fof(c_0_160,axiom,
! [X1,X5,X10,X3] :
( c_List_Oremove1(X5,c_List_Ofilter(X10,X1,X3),X3) = c_List_Ofilter(X10,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_remove1__filter__not_0) ).
fof(c_0_161,axiom,
! [X1,X5,X10,X3] :
( c_List_OdropWhile(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_dropWhile_Osimps_I2_J_1) ).
fof(c_0_162,axiom,
! [X11,X1,X3] : c_List_Orev(c_List_Oappend(X1,X11,X3),X3) = c_List_Oappend(c_List_Orev(X11,X3),c_List_Orev(X1,X3),X3),
file('<stdin>',cls_rev__append_0) ).
fof(c_0_163,axiom,
! [X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
file('<stdin>',cls_inf__left__idem_0) ).
fof(c_0_164,axiom,
! [X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
file('<stdin>',cls_inf__sup__aci_I4_J_0) ).
fof(c_0_165,axiom,
! [X1,X5,X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,X1,X3),
file('<stdin>',cls_append__eq__Cons__conv_4) ).
fof(c_0_166,axiom,
! [X1,X5,X3] : c_List_Osplice(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X5,X1,X3),
file('<stdin>',cls_splice_Osimps_I2_J_0) ).
fof(c_0_167,axiom,
! [X1,X5,X3] : c_List_Olist_OCons(X5,X1,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X5,X1,X3),X3),
file('<stdin>',cls_Cons__eq__append__conv_4) ).
fof(c_0_168,axiom,
! [X1,X5,X2,X3] : c_List_Odrop(c_Suc(X2),c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Odrop(X2,X1,X3),
file('<stdin>',cls_drop__Suc__Cons_0) ).
fof(c_0_169,axiom,
! [X11,X4,X1,X10,X3] :
( c_List_OdropWhile(X10,X1,X3) != c_List_Olist_OCons(X4,X11,X3)
| ~ hBOOL(hAPP(X10,X4)) ),
file('<stdin>',cls_dropWhile__eq__Cons__conv_1) ).
fof(c_0_170,axiom,
! [X1,X2,X3] : c_List_Otake(X2,c_List_Otl(X1,X3),X3) = c_List_Otl(c_List_Otake(c_Suc(X2),X1,X3),X3),
file('<stdin>',cls_take__tl_0) ).
fof(c_0_171,axiom,
! [X11,X1,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(X11,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_sorted__append_1) ).
fof(c_0_172,axiom,
! [X11,X1,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_sorted__append_0) ).
fof(c_0_173,axiom,
! [X1,X5,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_sorted__Cons_0) ).
fof(c_0_174,axiom,
! [X1,X5,X10,X3] :
( c_List_Olist__ex(X10,c_List_Olist_OCons(X5,X1,X3),X3)
| ~ hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_list__ex_Osimps_I2_J_1) ).
fof(c_0_175,axiom,
! [X11,X1,X3] :
( c_List_Otl(c_List_Oappend(X1,X11,X3),X3) = c_List_Oappend(c_List_Otl(X1,X3),X11,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_tl__append2_0) ).
fof(c_0_176,axiom,
! [X1,X2,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Orotate(X2,X1,X3),X3) ),
file('<stdin>',cls_distinct__rotate_0) ).
fof(c_0_177,axiom,
! [X11,X1,X3] :
( c_List_Odistinct(X11,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_distinct__append_1) ).
fof(c_0_178,axiom,
! [X11,X1,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X11,X3),X3) ),
file('<stdin>',cls_distinct__append_0) ).
fof(c_0_179,axiom,
! [X1,X5,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X5,X1,X3),X3) ),
file('<stdin>',cls_distinct_Osimps_I2_J_1) ).
fof(c_0_180,axiom,
! [X11,X1,X5,X10,X3] :
( c_List_Ofilter(X10,X11,X3) != c_List_Olist_OCons(X5,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_filter__eq__ConsD_2) ).
fof(c_0_181,axiom,
! [X11,X1,X5,X10,X3] :
( c_List_Olist_OCons(X5,X1,X3) != c_List_Ofilter(X10,X11,X3)
| hBOOL(hAPP(X10,X5)) ),
file('<stdin>',cls_Cons__eq__filterD_2) ).
fof(c_0_182,axiom,
! [X1,X2,X3] : c_List_Orotate1(c_List_Orotate(X2,X1,X3),X3) = c_List_Orotate(X2,c_List_Orotate1(X1,X3),X3),
file('<stdin>',cls_rotate1__rotate__swap_0) ).
fof(c_0_183,axiom,
! [X1,X10,X3] : c_List_Orev(c_List_Ofilter(X10,X1,X3),X3) = c_List_Ofilter(X10,c_List_Orev(X1,X3),X3),
file('<stdin>',cls_rev__filter_0) ).
fof(c_0_184,axiom,
! [X1,X2,X3] : c_List_Otl(c_List_Odrop(X2,X1,X3),X3) = c_List_Odrop(X2,c_List_Otl(X1,X3),X3),
file('<stdin>',cls_tl__drop_0) ).
fof(c_0_185,axiom,
! [X1,X10,X3] : c_List_Oremdups(c_List_Ofilter(X10,X1,X3),X3) = c_List_Ofilter(X10,c_List_Oremdups(X1,X3),X3),
file('<stdin>',cls_remdups__filter_0) ).
fof(c_0_186,axiom,
! [X1,X2,X3] : c_List_Odrop(X2,c_List_Otl(X1,X3),X3) = c_List_Otl(c_List_Odrop(X2,X1,X3),X3),
file('<stdin>',cls_drop__tl_0) ).
fof(c_0_187,axiom,
! [X17,X19] :
( X17 = c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X19,X17),v_sko__List__Xlistsp__Xcases__2(X19,X17),t_a)
| X17 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X19,X17,t_a) ),
file('<stdin>',cls_listsp_Ocases_0) ).
fof(c_0_188,axiom,
! [X5,X3] : c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) = c_List_Orev(c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),
file('<stdin>',cls_singleton__rev__conv_1) ).
fof(c_0_189,axiom,
! [X5,X3] : c_List_Orev(c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_rev__singleton__conv_1) ).
fof(c_0_190,axiom,
! [X1,X5,X3] : ~ c_List_Onull(c_List_Olist_OCons(X5,X1,X3),X3),
file('<stdin>',cls_List_Onull_Osimps_I2_J_0) ).
fof(c_0_191,axiom,
! [X1,X10,X3] :
( c_List_Olist__all(X10,X1,X3)
| ~ c_List_Olist__all(X10,c_List_Orev(X1,X3),X3) ),
file('<stdin>',cls_list__all__rev_0) ).
fof(c_0_192,axiom,
! [X1,X2,X3] : c_List_Orotate(c_Suc(X2),X1,X3) = c_List_Orotate1(c_List_Orotate(X2,X1,X3),X3),
file('<stdin>',cls_rotate__Suc_0) ).
fof(c_0_193,axiom,
! [X1,X10,X3] :
( hBOOL(hAPP(X10,X1))
| hBOOL(hAPP(X10,c_List_Osko__List__Xrev__induct__1__2(X10,X3)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(X3))) ),
file('<stdin>',cls_rev__induct_0) ).
fof(c_0_194,axiom,
! [X1,X5,X3] :
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3)
| X1 = c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) ),
file('<stdin>',cls_rev__singleton__conv_0) ).
fof(c_0_195,axiom,
! [X1,X5,X3] :
( c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) ),
file('<stdin>',cls_singleton__rev__conv_0) ).
fof(c_0_196,axiom,
! [X38,X9,X39,X17,X3] :
( c_List_Olist_OCons(X17,X9,X3) != c_List_Olist_OCons(X39,X38,X3)
| X9 = X38 ),
file('<stdin>',cls_list_Oinject_1) ).
fof(c_0_197,axiom,
! [X38,X9,X39,X17,X3] :
( c_List_Olist_OCons(X17,X9,X3) != c_List_Olist_OCons(X39,X38,X3)
| X17 = X39 ),
file('<stdin>',cls_list_Oinject_0) ).
fof(c_0_198,axiom,
! [X20,X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != c_List_Oappend(X1,X20,X3)
| X11 = X20 ),
file('<stdin>',cls_same__append__eq_0) ).
fof(c_0_199,axiom,
! [X20,X11,X1,X3] :
( c_List_Oappend(X11,X1,X3) != c_List_Oappend(X20,X1,X3)
| X11 = X20 ),
file('<stdin>',cls_append__same__eq_0) ).
fof(c_0_200,axiom,
! [X48,X49,X3] :
( X49 = X48
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X49),X48)) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_201,axiom,
! [X17,X19] :
( hBOOL(hAPP(X19,v_sko__List__Xlistsp__Xcases__1(X19,X17)))
| X17 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X19,X17,t_a) ),
file('<stdin>',cls_listsp_Ocases_1) ).
fof(c_0_202,axiom,
! [X1,X10,X3] :
( c_List_Olist__all(X10,c_List_Orev(X1,X3),X3)
| ~ c_List_Olist__all(X10,X1,X3) ),
file('<stdin>',cls_list__all__rev_1) ).
fof(c_0_203,axiom,
! [X17,X19] :
( c_List_Olistsp(X19,v_sko__List__Xlistsp__Xcases__2(X19,X17),t_a)
| X17 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X19,X17,t_a) ),
file('<stdin>',cls_listsp_Ocases_2) ).
fof(c_0_204,axiom,
! [X1,X5,X3] : c_List_Oremove1(X5,c_List_Olist_OCons(X5,X1,X3),X3) = X1,
file('<stdin>',cls_remove1_Osimps_I2_J_0) ).
fof(c_0_205,axiom,
! [X11,X5,X3] : c_List_Omember(X5,c_List_Olist_OCons(X5,X11,X3),X3),
file('<stdin>',cls_List_Omember_Osimps_I2_J_1) ).
fof(c_0_206,axiom,
! [X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X18,X19,tc_fun(X3,tc_bool)),
file('<stdin>',cls_Int__commute_0) ).
fof(c_0_207,axiom,
! [X1,X17,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X17,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
file('<stdin>',cls_sorted__remove1_0) ).
fof(c_0_208,axiom,
! [X1,X10,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X10,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
file('<stdin>',cls_sorted__dropWhile_0) ).
fof(c_0_209,axiom,
! [X1,X2,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Otake(X2,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
file('<stdin>',cls_sorted__take_0) ).
fof(c_0_210,axiom,
! [X1,X2,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X2,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
file('<stdin>',cls_sorted__drop_0) ).
fof(c_0_211,axiom,
! [X11,X3] : c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X3),X11,X3),X3) = c_List_Ohd(X11,X3),
file('<stdin>',cls_hd__append_0) ).
fof(c_0_212,axiom,
! [X1,X2,X3] :
( c_List_Odistinct(c_List_Orotate(X2,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__rotate_1) ).
fof(c_0_213,axiom,
! [X1,X5,X3] :
( c_List_Odistinct(c_List_Oremove1(X5,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__remove1_0) ).
fof(c_0_214,axiom,
! [X1,X35,X3] :
( c_List_Odistinct(c_List_Osublist(X1,X35,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__sublistI_0) ).
fof(c_0_215,axiom,
! [X1,X10,X3] :
( c_List_Odistinct(c_List_OdropWhile(X10,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__dropWhile_0) ).
fof(c_0_216,axiom,
! [X1,X6,X3] :
( c_List_Odistinct(c_List_Otake(X6,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__take_0) ).
fof(c_0_217,axiom,
! [X1,X6,X3] :
( c_List_Odistinct(c_List_Odrop(X6,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__drop_0) ).
fof(c_0_218,axiom,
! [X1,X10,X3] :
( c_List_Odistinct(c_List_Ofilter(X10,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__filter_0) ).
fof(c_0_219,axiom,
! [X1,X2,X3] : c_List_Odrop(c_Suc(X2),X1,X3) = c_List_Odrop(X2,c_List_Otl(X1,X3),X3),
file('<stdin>',cls_drop__Suc_0) ).
fof(c_0_220,axiom,
! [X5,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('<stdin>',cls_sorted_Osimps_I2_J_0) ).
fof(c_0_221,axiom,
! [X11,X1,X3] :
( c_List_Ohd(c_List_Oappend(X1,X11,X3),X3) = c_List_Ohd(X1,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_hd__append_1) ).
fof(c_0_222,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xmap__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_map_Oinduct_0) ).
fof(c_0_223,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlist__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list_Oinduct_0) ).
fof(c_0_224,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xremove1__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_remove1_Oinduct_0) ).
fof(c_0_225,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xdistinct__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_distinct_Oinduct_0) ).
fof(c_0_226,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xconcat__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_concat_Oinduct_0) ).
fof(c_0_227,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xtake__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_take_Oinduct_0) ).
fof(c_0_228,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__XdropWhile__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_dropWhile_Oinduct_0) ).
fof(c_0_229,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlistset__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listset_Oinduct_0) ).
fof(c_0_230,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xzip__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_zip_Oinduct_0) ).
fof(c_0_231,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xfoldl__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_foldl_Oinduct_0) ).
fof(c_0_232,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlist__update__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list__update_Oinduct_0) ).
fof(c_0_233,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__XtakeWhile__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_takeWhile_Oinduct_0) ).
fof(c_0_234,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlast__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_last_Oinduct_0) ).
fof(c_0_235,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__XremoveAll__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_removeAll_Oinduct_0) ).
fof(c_0_236,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlistsum__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listsum_Oinduct_0) ).
fof(c_0_237,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xdrop__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_drop_Oinduct_0) ).
fof(c_0_238,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xremdups__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_remdups_Oinduct_0) ).
fof(c_0_239,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xhd__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_hd_Oinduct_0) ).
fof(c_0_240,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlist__Xinducts__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list_Oinducts_0) ).
fof(c_0_241,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xtl__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_tl_Oinduct_0) ).
fof(c_0_242,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xset__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_set_Oinduct_0) ).
fof(c_0_243,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xsplice__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_splice_Oinduct_0) ).
fof(c_0_244,axiom,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xrev__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_rev_Oinduct_0) ).
fof(c_0_245,axiom,
! [X29,X6] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X29,X6)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X29)) ),
file('<stdin>',cls_lift__IT_0) ).
fof(c_0_246,axiom,
! [X1,X5,X3] : c_List_Otl(c_List_Olist_OCons(X5,X1,X3),X3) = X1,
file('<stdin>',cls_tl_Osimps_I2_J_0) ).
fof(c_0_247,axiom,
! [X1,X5,X3] : c_List_Ohd(c_List_Olist_OCons(X5,X1,X3),X3) = X5,
file('<stdin>',cls_hd_Osimps_0) ).
fof(c_0_248,axiom,
! [X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
file('<stdin>',cls_inf__sup__aci_I1_J_0) ).
fof(c_0_249,axiom,
! [X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
file('<stdin>',cls_inf__commute_0) ).
fof(c_0_250,axiom,
! [X5,X3] : hBOOL(hAPP(hAPP(c_fequal(X3),X5),X5)),
file('<stdin>',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(c_0_251,axiom,
! [X11,X1,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X1,X11,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__append__conv_0) ).
fof(c_0_252,axiom,
! [X11,X1,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X1,X11,X3)
| X11 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__append__conv_1) ).
fof(c_0_253,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__is__Nil__conv_0) ).
fof(c_0_254,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != c_List_Olist_ONil(X3)
| X11 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__is__Nil__conv_1) ).
fof(c_0_255,axiom,
! [X1,X2,X3] :
( c_List_Orotate(X2,X1,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rotate__is__Nil__conv_0) ).
fof(c_0_256,axiom,
! [X10,X3] : ~ c_List_Olist__ex(X10,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_list__ex_Osimps_I1_J_0) ).
fof(c_0_257,axiom,
! [X5,X3] : ~ c_List_Omember(X5,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_List_Omember_Osimps_I1_J_0) ).
fof(c_0_258,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != X1
| X11 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__self__conv_0) ).
fof(c_0_259,axiom,
! [X11,X1,X3] :
( X1 != c_List_Oappend(X1,X11,X3)
| X11 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_self__append__conv_0) ).
fof(c_0_260,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != X11
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__self__conv2_0) ).
fof(c_0_261,axiom,
! [X11,X1,X3] :
( X11 != c_List_Oappend(X1,X11,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_self__append__conv2_0) ).
fof(c_0_262,axiom,
! [X38,X39,X3] : c_List_Olist_OCons(X39,X38,X3) != c_List_Olist_ONil(X3),
file('<stdin>',cls_list_Osimps_I3_J_0) ).
fof(c_0_263,axiom,
! [X24,X5,X3] : c_List_Olist_OCons(X5,X24,X3) != c_List_Olist_ONil(X3),
file('<stdin>',cls_neq__Nil__conv_1) ).
fof(c_0_264,axiom,
! [X38,X39,X3] : c_List_Olist_ONil(X3) != c_List_Olist_OCons(X39,X38,X3),
file('<stdin>',cls_list_Osimps_I2_J_0) ).
fof(c_0_265,axiom,
! [X1,X5,X3] : X1 != c_List_Olist_OCons(X5,X1,X3),
file('<stdin>',cls_not__Cons__self_0) ).
fof(c_0_266,axiom,
! [X5,X29,X3] : c_List_Olist_OCons(X5,X29,X3) != X29,
file('<stdin>',cls_not__Cons__self2_0) ).
fof(c_0_267,axiom,
! [X16] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X16)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X16)) ),
file('<stdin>',cls_Lambda_0) ).
fof(c_0_268,axiom,
! [X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,X19,tc_fun(X3,tc_bool)) = X19,
file('<stdin>',cls_Int__absorb_0) ).
fof(c_0_269,axiom,
! [X1,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Orev(X1,X3),X3) ),
file('<stdin>',cls_distinct__rev_0) ).
fof(c_0_270,axiom,
! [X1,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X3),X3) ),
file('<stdin>',cls_distinct1__rotate_0) ).
fof(c_0_271,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_Nil__is__append__conv_2) ).
fof(c_0_272,axiom,
! [X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_append__is__Nil__conv_2) ).
fof(c_0_273,axiom,
! [X42,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X42,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X42,X3) ),
file('<stdin>',cls_sorted__remdups_0) ).
fof(c_0_274,axiom,
! [X2,X3] : c_List_Orotate(X2,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_rotate__is__Nil__conv_1) ).
fof(c_0_275,axiom,
! [X5,X3] : c_List_Oremove1(X5,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_remove1_Osimps_I1_J_0) ).
fof(c_0_276,axiom,
! [X10,X3] : c_List_Ofilter(X10,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_filter_Osimps_I1_J_0) ).
fof(c_0_277,axiom,
! [X19,X3] : c_List_Osublist(c_List_Olist_ONil(X3),X19,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_sublist__nil_0) ).
fof(c_0_278,axiom,
! [X2,X3] : c_List_Otake(X2,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_take__eq__Nil_2) ).
fof(c_0_279,axiom,
! [X10,X3] : c_List_OdropWhile(X10,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_dropWhile_Osimps_I1_J_0) ).
fof(c_0_280,axiom,
! [X36,X3] : c_List_Olist__inter(c_List_Olist_ONil(X3),X36,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_list__inter_Osimps_I1_J_0) ).
fof(c_0_281,axiom,
! [X2,X3] : c_List_Odrop(X2,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_drop__Nil_0) ).
fof(c_0_282,axiom,
! [X1,X3] :
( c_List_Odistinct(c_List_Orev(X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__rev_1) ).
fof(c_0_283,axiom,
! [X1,X3] :
( c_List_Odistinct(c_List_Orotate1(X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct1__rotate_1) ).
fof(c_0_284,axiom,
! [X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X5,X3) = X5 ),
file('<stdin>',cls_inf__idem_0) ).
fof(c_0_285,axiom,
! [X1,X3] : c_List_Oappend(X1,c_List_Olist_ONil(X3),X3) = X1,
file('<stdin>',cls_append__Nil2_0) ).
fof(c_0_286,axiom,
! [X5,X3] : X5 = c_List_Oappend(c_List_Olist_ONil(X3),X5,X3),
file('<stdin>',cls_eq__Nil__appendI_0) ).
fof(c_0_287,axiom,
! [X1,X3] : X1 = c_List_Oappend(X1,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_self__append__conv_1) ).
fof(c_0_288,axiom,
! [X11,X3] : c_List_Oappend(c_List_Olist_ONil(X3),X11,X3) = X11,
file('<stdin>',cls_append__Nil_0) ).
fof(c_0_289,axiom,
! [X11,X3] : X11 = c_List_Oappend(c_List_Olist_ONil(X3),X11,X3),
file('<stdin>',cls_self__append__conv2_1) ).
fof(c_0_290,axiom,
! [X11,X3] : c_List_Osplice(c_List_Olist_ONil(X3),X11,X3) = X11,
file('<stdin>',cls_splice_Osimps_I1_J_0) ).
fof(c_0_291,axiom,
! [X1,X3] : c_List_Osplice(X1,c_List_Olist_ONil(X3),X3) = X1,
file('<stdin>',cls_splice__Nil2_0) ).
fof(c_0_292,axiom,
! [X19,X3] : c_List_Olistsp(X19,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_listsp_ONil_0) ).
fof(c_0_293,axiom,
! [X10,X3] : c_List_Olist__all(X10,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_list__all_Osimps_I1_J_0) ).
fof(c_0_294,axiom,
! [X11,X1,X3] :
( c_List_Orev(X1,X3) != c_List_Orev(X11,X3)
| X1 = X11 ),
file('<stdin>',cls_rev__is__rev__conv_0) ).
fof(c_0_295,axiom,
! [X1,X3] : c_List_Orev(c_List_Orev(X1,X3),X3) = X1,
file('<stdin>',cls_rev__rev__ident_0) ).
fof(c_0_296,axiom,
! [X11,X3] : c_List_Orev(c_List_Orev(X11,X3),X3) = X11,
file('<stdin>',cls_rev__swap_1) ).
fof(c_0_297,axiom,
! [X1,X3] : X1 = c_List_Orev(c_List_Orev(X1,X3),X3),
file('<stdin>',cls_rev__swap_0) ).
fof(c_0_298,axiom,
! [X1,X3] : c_List_Odistinct(c_List_Oremdups(X1,X3),X3),
file('<stdin>',cls_distinct__remdups_0) ).
fof(c_0_299,axiom,
! [X1,X3] :
( c_List_Oremdups(X1,X3) != X1
| c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_remdups__id__iff__distinct_0) ).
fof(c_0_300,axiom,
! [X1,X3] :
( c_List_Oremdups(X1,X3) = X1
| ~ c_List_Odistinct(X1,X3) ),
file('<stdin>',cls_distinct__remdups__id_0) ).
fof(c_0_301,axiom,
! [X46,X47] :
( class_Lattices_Olattice(tc_fun(X46,X47))
| ~ class_Lattices_Olattice(X47) ),
file('<stdin>',clsarity_fun__Lattices_Olattice) ).
fof(c_0_302,axiom,
! [X46,X47] :
( class_Lattices_Olower__semilattice(tc_fun(X46,X47))
| ~ class_Lattices_Olattice(X47) ),
file('<stdin>',clsarity_fun__Lattices_Olower__semilattice) ).
fof(c_0_303,axiom,
! [X1,X3] :
( c_List_Orev(X1,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rev__is__Nil__conv_0) ).
fof(c_0_304,axiom,
! [X5,X3] :
( c_List_Olist_ONil(X3) != c_List_Oremdups(X5,X3)
| X5 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_remdups__eq__nil__right__iff_0) ).
fof(c_0_305,axiom,
! [X1,X3] :
( c_List_Orotate1(X1,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_rotate1__is__Nil__conv_0) ).
fof(c_0_306,axiom,
! [X1,X3] :
( c_List_Olist_ONil(X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__rev__conv_0) ).
fof(c_0_307,axiom,
! [X5,X3] :
( c_List_Oremdups(X5,X3) != c_List_Olist_ONil(X3)
| X5 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_remdups__eq__nil__iff_0) ).
fof(c_0_308,axiom,
! [X1,X3] :
( X1 = c_List_Olist_ONil(X3)
| ~ c_List_Onull(X1,X3) ),
file('<stdin>',cls_empty__null_1) ).
fof(c_0_309,axiom,
! [X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X3),X3) ),
file('<stdin>',cls_sorted_Osimps_I1_J_0) ).
fof(c_0_310,axiom,
! [X3] : c_List_Orev(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_rev__is__Nil__conv_1) ).
fof(c_0_311,axiom,
! [X3] : c_List_Orotate1(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_rotate__simps_0) ).
fof(c_0_312,axiom,
! [X3] : c_List_Oremdups(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_remdups__eq__nil__iff_1) ).
fof(c_0_313,axiom,
! [X3] : c_List_Otl(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_tl_Osimps_I1_J_0) ).
fof(c_0_314,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oremdups(c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_remdups__eq__nil__right__iff_1) ).
fof(c_0_315,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Orev(c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_Nil__is__rev__conv_1) ).
fof(c_0_316,axiom,
! [X3] : c_List_Onull(c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_empty__null_0) ).
fof(c_0_317,axiom,
! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_distinct_Osimps_I1_J_0) ).
fof(c_0_318,axiom,
! [X33,X34] :
( c_Lambda_OdB_OAbs(X34) != c_Lambda_OdB_OAbs(X33)
| X34 = X33 ),
file('<stdin>',cls_dB_Osimps_I3_J_0) ).
fof(c_0_319,axiom,
! [X4,X5] :
( c_Suc(X5) != c_Suc(X4)
| X5 = X4 ),
file('<stdin>',cls_Suc__inject_0) ).
fof(c_0_320,axiom,
! [X7,X8] :
( c_Suc(X8) != c_Suc(X7)
| X8 = X7 ),
file('<stdin>',cls_nat_Oinject_0) ).
fof(c_0_321,axiom,
! [X2] : c_Suc(X2) != X2,
file('<stdin>',cls_Suc__n__not__n_0) ).
fof(c_0_322,axiom,
! [X2] : X2 != c_Suc(X2),
file('<stdin>',cls_n__not__Suc__n_0) ).
fof(c_0_323,axiom,
class_Lattices_Olattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Olattice) ).
fof(c_0_324,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Olower__semilattice) ).
fof(c_0_325,axiom,
class_Lattices_Olattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Olattice) ).
fof(c_0_326,axiom,
class_Orderings_Olinorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Olinorder) ).
fof(c_0_327,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Olower__semilattice) ).
fof(c_0_328,plain,
! [X25,X24,X26,X27,X10] :
( ~ hBOOL(hAPP(X10,c_List_Olist_Olist__case(X27,X26,c_List_Olist_OCons(X24,X25,t_b),t_a,t_b)))
| hBOOL(hAPP(X10,hAPP(hAPP(X26,X24),X25))) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_329,plain,
! [X9,X26,X27,X17,X10] :
( ~ hBOOL(hAPP(X10,c_List_Olist_Olist__case(X27,X26,c_List_Olist_OCons(X17,X9,t_b),t_a,t_b)))
| hBOOL(hAPP(X10,hAPP(hAPP(X26,X17),X9))) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_330,plain,
! [X26,X27,X10] :
( ~ hBOOL(hAPP(X10,c_List_Olist_Olist__case(X27,X26,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X10,X27)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_331,plain,
! [X21,X22,X23,X17,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Oappend(X17,X22,X3),c_List_Oappend(X23,X21,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X22,X21,X3,X13)
| ~ c_List_Olist__all2(X10,X17,X23,X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_332,axiom,
! [X11,X1,X12,X17,X13,X3] : c_List_Ofoldr(X12,c_List_Oappend(X1,X11,X13),X17,X13,X3) = c_List_Ofoldr(X12,X1,c_List_Ofoldr(X12,X11,X17,X13,X3),X13,X3),
c_0_4 ).
fof(c_0_333,axiom,
! [X11,X1,X12,X17,X13,X3] : c_List_Ofoldl(X12,X17,c_List_Oappend(X1,X11,X13),X3,X13) = c_List_Ofoldl(X12,c_List_Ofoldl(X12,X17,X1,X3,X13),X11,X3,X13),
c_0_5 ).
fof(c_0_334,axiom,
! [X9,X26,X27,X17,X13,X3] : c_List_Olist_Olist__rec(X27,X26,c_List_Olist_OCons(X17,X9,X13),X3,X13) = hAPP(hAPP(hAPP(X26,X17),X9),c_List_Olist_Olist__rec(X27,X26,X9,X3,X13)),
c_0_6 ).
fof(c_0_335,axiom,
! [X1,X5,X12,X17,X13,X3] : c_List_Ofoldr(X12,c_List_Olist_OCons(X5,X1,X13),X17,X13,X3) = hAPP(hAPP(X12,X5),c_List_Ofoldr(X12,X1,X17,X13,X3)),
c_0_7 ).
fof(c_0_336,plain,
! [X11,X4,X24,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X24,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X24,X11,X3,X13)
| ~ hBOOL(hAPP(hAPP(X10,X5),X4)) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_337,plain,
! [X1,X25,X24,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X24,X25,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X25,X3,X13)
| ~ hBOOL(hAPP(hAPP(X10,X5),X24)) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_338,plain,
! [X11,X4,X1,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X11,X3,X13)
| ~ hBOOL(hAPP(hAPP(X10,X5),X4)) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_339,plain,
! [X11,X4,X1,X5,X10,X13,X3] :
( c_List_Olist__all2(X10,X1,X11,X3,X13)
| ~ c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_340,plain,
! [X2,X36,X37,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Odrop(X2,X37,X3),c_List_Odrop(X2,X36,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X37,X36,X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_341,plain,
! [X11,X1,X2,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Otake(X2,X1,X3),c_List_Otake(X2,X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X11,X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_342,plain,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,X1,X11,X3,X13)
| ~ c_List_Olist__all2(X10,c_List_Orev(X1,X3),c_List_Orev(X11,X13),X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_343,plain,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,X1,c_List_Orev(X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,c_List_Orev(X1,X3),X11,X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_344,plain,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Orev(X1,X3),X11,X3,X13)
| ~ c_List_Olist__all2(X10,X1,c_List_Orev(X11,X13),X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_345,plain,
! [X11,X1,X10,X13,X3] :
( c_List_Olist__all2(X10,c_List_Orev(X1,X3),c_List_Orev(X11,X13),X3,X13)
| ~ c_List_Olist__all2(X10,X1,X11,X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_346,axiom,
! [X1,X5,X12,X17,X13,X3] : c_List_Ofoldl(X12,X17,c_List_Olist_OCons(X5,X1,X13),X3,X13) = c_List_Ofoldl(X12,hAPP(hAPP(X12,X17),X5),X1,X3,X13),
c_0_18 ).
fof(c_0_347,plain,
! [X11,X4,X1,X5,X10,X13,X3] :
( hBOOL(hAPP(hAPP(X10,X5),X4))
| ~ c_List_Olist__all2(X10,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X13),X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_348,plain,
! [X11,X10,X13,X3] :
( X11 = c_List_Olist_ONil(X13)
| ~ c_List_Olist__all2(X10,c_List_Olist_ONil(X3),X11,X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_349,plain,
! [X1,X10,X13,X3] :
( X1 = c_List_Olist_ONil(X3)
| ~ c_List_Olist__all2(X10,X1,c_List_Olist_ONil(X13),X3,X13) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_350,plain,
! [X11,X1,X3] :
( X1 = X11
| ~ c_List_Olist__all2(c_fequal(X3),X1,X11,X3,X3) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_351,plain,
! [X11,X4,X1,X5,X16,X3] :
( hBOOL(hAPP(hAPP(X16,X4),X5))
| c_ListOrder_Ostep1(X16,X11,X1,X3)
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_352,plain,
! [X11,X4,X1,X5,X16,X3] :
( X11 = X1
| c_ListOrder_Ostep1(X16,X11,X1,X3)
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_353,plain,
! [X1,X10,X3] :
( hBOOL(hAPP(X10,X1))
| ~ hBOOL(hAPP(X10,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X10,X3),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X10,X3),c_List_Olist_ONil(X3),X3),X3)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(X3))) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_354,plain,
! [X11,X4,X1,X5,X16,X3] :
( hBOOL(hAPP(hAPP(X16,X4),X5))
| X4 = X5
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_355,axiom,
! [X4,X1,X30,X12,X13,X3] : c_List_Omap(X12,c_List_Olist__update(X1,X30,X4,X13),X13,X3) = c_List_Olist__update(c_List_Omap(X12,X1,X13,X3),X30,hAPP(X12,X4),X3),
c_0_27 ).
fof(c_0_356,plain,
! [X1,X12,X13,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Omap(X12,c_List_Olinorder__class_Osort__key(X12,X1,X13,X3),X13,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_357,axiom,
! [X1,X40,X5,X41,X6,X3] :
( c_List_Olist__update(c_List_Olist__update(X1,X6,X5,X3),X41,X40,X3) = c_List_Olist__update(c_List_Olist__update(X1,X41,X40,X3),X6,X5,X3)
| X6 = X41 ),
c_0_29 ).
fof(c_0_358,plain,
! [X11,X4,X1,X5,X16,X3] :
( X11 = X1
| X4 = X5
| ~ c_ListOrder_Ostep1(X16,c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_359,axiom,
! [X11,X1,X12,X13,X3] : c_List_Omap(X12,c_List_Oappend(X1,X11,X13),X13,X3) = c_List_Oappend(c_List_Omap(X12,X1,X13,X3),c_List_Omap(X12,X11,X13,X3),X3),
c_0_31 ).
fof(c_0_360,axiom,
! [X9,X26,X27,X17,X13,X3] : c_List_Olist_Olist__case(X27,X26,c_List_Olist_OCons(X17,X9,X13),X3,X13) = hAPP(hAPP(X26,X17),X9),
c_0_32 ).
fof(c_0_361,axiom,
! [X10,X13,X3] : c_List_Olist__all2(X10,c_List_Olist_ONil(X3),c_List_Olist_ONil(X13),X3,X13),
c_0_33 ).
fof(c_0_362,axiom,
! [X26,X27,X13,X3] : c_List_Olist_Olist__case(X27,X26,c_List_Olist_ONil(X13),X3,X13) = X27,
c_0_34 ).
fof(c_0_363,axiom,
! [X45,X36,X13,X3] : c_Map_Omap__upds(X45,c_List_Olist_ONil(X3),X36,X3,X13) = X45,
c_0_35 ).
fof(c_0_364,axiom,
! [X45,X37,X13,X3] : c_Map_Omap__upds(X45,X37,c_List_Olist_ONil(X13),X3,X13) = X45,
c_0_36 ).
fof(c_0_365,axiom,
! [X26,X27,X13,X3] : c_List_Olist_Olist__rec(X27,X26,c_List_Olist_ONil(X13),X3,X13) = X27,
c_0_37 ).
fof(c_0_366,axiom,
! [X12,X17,X13,X3] : c_List_Ofoldr(X12,c_List_Olist_ONil(X13),X17,X13,X3) = X17,
c_0_38 ).
fof(c_0_367,axiom,
! [X12,X17,X13,X3] : c_List_Ofoldl(X12,X17,c_List_Olist_ONil(X13),X3,X13) = X17,
c_0_39 ).
fof(c_0_368,axiom,
! [X5,X3] : c_List_Olist__all2(c_fequal(X3),X5,X5,X3,X3),
c_0_40 ).
fof(c_0_369,plain,
! [X11,X4,X1,X5,X16,X3] :
( c_ListOrder_Ostep1(X16,X11,X1,X3)
| hBOOL(hAPP(hAPP(X16,X4),X5))
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_370,axiom,
! [X4,X1,X5,X6,X3] : c_List_Olist__update(c_List_Olist__update(X1,X6,X5,X3),X6,X4,X3) = c_List_Olist__update(X1,X6,X4,X3),
c_0_42 ).
fof(c_0_371,plain,
! [X11,X4,X1,X5,X16,X3] :
( c_List_Olistrelp(X16,c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X3),X3)
| ~ c_List_Olistrelp(X16,X1,X11,X3)
| ~ hBOOL(hAPP(hAPP(X16,X5),X4)) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_372,plain,
! [X11,X4,X1,X5,X16,X3] :
( c_ListOrder_Ostep1(X16,X11,X1,X3)
| X1 = X11
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_373,axiom,
! [X1,X5,X12,X13,X3] : c_List_Oconcat__map(X12,c_List_Olist_OCons(X5,X1,X13),X13,X3) = c_List_Oappend(hAPP(X12,X5),c_List_Oconcat__map(X12,X1,X13,X3),X3),
c_0_45 ).
fof(c_0_374,axiom,
! [X1,X5,X12,X13,X3] : c_List_Omap(X12,c_List_Olist_OCons(X5,X1,X13),X13,X3) = c_List_Olist_OCons(hAPP(X12,X5),c_List_Omap(X12,X1,X13,X3),X3),
c_0_46 ).
fof(c_0_375,axiom,
! [X25,X24,X12,X13,X3] : c_List_Olist_OCons(hAPP(X12,X24),c_List_Omap(X12,X25,X13,X3),X3) = c_List_Omap(X12,c_List_Olist_OCons(X24,X25,X13),X13,X3),
c_0_47 ).
fof(c_0_376,axiom,
! [X24,X5,X12,X13,X3] : c_List_Omap(X12,c_List_Olist_OCons(X5,X24,X13),X13,X3) = c_List_Olist_OCons(hAPP(X12,X5),c_List_Omap(X12,X24,X13,X3),X3),
c_0_48 ).
fof(c_0_377,axiom,
! [X4,X1,X5,X6,X3] : c_List_Olist__update(c_List_Olist_OCons(X5,X1,X3),c_Suc(X6),X4,X3) = c_List_Olist_OCons(X5,c_List_Olist__update(X1,X6,X4,X3),X3),
c_0_49 ).
fof(c_0_378,axiom,
! [X1,X2,X12,X13,X3] : c_List_Odrop(X2,c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Odrop(X2,X1,X13),X13,X3),
c_0_50 ).
fof(c_0_379,axiom,
! [X1,X2,X12,X13,X3] : c_List_Orotate(X2,c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Orotate(X2,X1,X13),X13,X3),
c_0_51 ).
fof(c_0_380,axiom,
! [X1,X2,X12,X13,X3] : c_List_Otake(X2,c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Otake(X2,X1,X13),X13,X3),
c_0_52 ).
fof(c_0_381,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X19,X10),v_sko__List__Xlistsp__Xinducts__2(X19,X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_382,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X19,X10),v_sko__List__Xlistsp__Xinduct__2(X19,X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_383,plain,
! [X1,X10,X3] :
( ~ hBOOL(hAPP(X10,c_List_Ohd(c_List_OdropWhile(X10,X1,X3),X3)))
| c_List_OdropWhile(X10,X1,X3) = c_List_Olist_ONil(X3) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_384,plain,
! [X11,X1,X5,X16,X3] :
( c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X5,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3)
| ~ c_ListOrder_Ostep1(X16,X11,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_385,plain,
! [X11,X1,X5,X16,X3] :
( ~ c_ListOrder_Ostep1(X16,X11,X1,X3)
| c_ListOrder_Ostep1(X16,c_List_Oappend(X11,X5,X3),c_List_Oappend(X1,X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_386,plain,
! [X5,X14,X15,X16,X3] :
( c_ListOrder_Ostep1(X16,c_List_Oappend(X5,X14,X3),c_List_Oappend(X5,X15,X3),X3)
| ~ c_ListOrder_Ostep1(X16,X14,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_387,plain,
! [X1,X12,X13,X3] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X12,X1,X3,X13),X3) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_388,plain,
! [X1,X12,X13,X3] :
( c_List_Odistinct(X1,X13)
| ~ c_List_Odistinct(c_List_Omap(X12,X1,X13,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_389,plain,
! [X11,X4,X1,X5,X16,X3] :
( X5 = X4
| hBOOL(hAPP(hAPP(X16,X4),X5))
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_390,axiom,
! [X1,X12,X13,X3] : c_List_Orev(c_List_Omap(X12,X1,X13,X3),X3) = c_List_Omap(X12,c_List_Orev(X1,X13),X13,X3),
c_0_62 ).
fof(c_0_391,plain,
! [X11,X4,X1,X5,X16,X3] :
( X5 = X4
| X1 = X11
| ~ c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X11,X3),c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_392,axiom,
! [X11,X1,X5,X3] :
( c_List_Osplice(c_List_Olist_OCons(X5,X1,X3),X11,X3) = c_List_Olist_OCons(X5,c_List_Olist_OCons(c_List_Ohd(X11,X3),c_List_Osplice(X1,c_List_Otl(X11,X3),X3),X3),X3)
| X11 = c_List_Olist_ONil(X3) ),
c_0_64 ).
fof(c_0_393,plain,
! [X20,X4,X5,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X4,X20,X3),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X5,c_List_Olist_OCons(X4,X20,X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_394,axiom,
! [X11,X4,X1,X5,X3] : c_List_Osplice(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_OCons(X4,X11,X3),X3) = c_List_Olist_OCons(X5,c_List_Olist_OCons(X4,c_List_Osplice(X1,X11,X3),X3),X3),
c_0_66 ).
fof(c_0_395,plain,
! [X4,X24,X5,X16,X3] :
( ~ hBOOL(hAPP(hAPP(X16,X4),X24))
| c_ListOrder_Ostep1(X16,c_List_Olist_OCons(X4,X5,X3),c_List_Olist_OCons(X24,X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_396,plain,
! [X5,X18,X19,X3] :
( hBOOL(hAPP(X19,X5))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X5)) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_397,plain,
! [X5,X18,X19,X3] :
( hBOOL(hAPP(X18,X5))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X5)) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_398,axiom,
! [X11,X4,X1,X5,X3] :
( c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| X5 = X4 ),
c_0_70 ).
fof(c_0_399,axiom,
! [X11,X4,X1,X5,X3] :
( c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X11,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| X1 = X11 ),
c_0_71 ).
fof(c_0_400,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X10),v_sko__List__Xtl__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_401,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X10),v_sko__List__Xlast__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_402,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X10),v_sko__List__Xlistsum__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_403,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X10),v_sko__List__Xdistinct__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_404,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X10),v_sko__List__Xsplice__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_405,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X10),v_sko__List__Xremove1__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_406,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X10),v_sko__List__Xlistset__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_407,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X10),v_sko__List__Xzip__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_408,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X10),v_sko__List__XdropWhile__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_409,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X10),v_sko__List__XtakeWhile__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_410,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X10),v_sko__List__XremoveAll__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_411,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X10),v_sko__List__Xremdups__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_412,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X10),v_sko__List__Xlist__update__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_413,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X10),v_sko__List__Xlist__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_414,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X10),v_sko__List__Xlist__Xinducts__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_415,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X10),v_sko__List__Xmap__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_416,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X10),v_sko__List__Xset__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_417,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X10),v_sko__List__Xtake__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_418,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X10),v_sko__List__Xhd__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_419,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X10),v_sko__List__Xconcat__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_420,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X10),v_sko__List__Xfoldl__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_421,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X10),v_sko__List__Xrev__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_422,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| ~ hBOOL(hAPP(X10,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X10),v_sko__List__Xdrop__Xinduct__2(X10),t_a)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_423,plain,
! [X1,X12,X13,X3] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Odistinct(c_List_Olinorder__class_Osort__key(X12,X1,X3,X13),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_424,axiom,
! [X11,X4,X3] : c_List_Orev(c_List_Oappend(c_List_Orev(X11,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),X3) = c_List_Olist_OCons(X4,X11,X3),
c_0_96 ).
fof(c_0_425,axiom,
! [X32,X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X18,c_Lattices_Olower__semilattice__class_Oinf(X19,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_97 ).
fof(c_0_426,axiom,
! [X32,X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_98 ).
fof(c_0_427,plain,
! [X1,X19,X3] :
( c_List_Olistsp(X19,X1,X3)
| ~ hBOOL(hAPP(X19,c_List_Osko__List__Xin__listsp__conv__set__1__1(X19,X1,X3))) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_428,plain,
! [X5,X18,X19,X3] :
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X5))
| ~ hBOOL(hAPP(X18,X5))
| ~ hBOOL(hAPP(X19,X5)) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_429,axiom,
! [X11,X1,X10,X3] : c_List_Ofilter(X10,c_List_Oappend(X1,X11,X3),X3) = c_List_Oappend(c_List_Ofilter(X10,X1,X3),c_List_Ofilter(X10,X11,X3),X3),
c_0_101 ).
fof(c_0_430,axiom,
! [X1,X5,X30,X3] :
( c_List_Olist__update(X1,X30,X5,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_102 ).
fof(c_0_431,axiom,
! [X1,X12,X13,X3] :
( c_List_Olist_ONil(X3) != c_List_Omap(X12,X1,X13,X3)
| X1 = c_List_Olist_ONil(X13) ),
c_0_103 ).
fof(c_0_432,axiom,
! [X1,X12,X13,X3] :
( c_List_Omap(X12,X1,X13,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X13) ),
c_0_104 ).
fof(c_0_433,plain,
! [X1,X16,X3] : ~ c_ListOrder_Ostep1(X16,c_List_Olist_ONil(X3),X1,X3),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_434,plain,
! [X1,X16,X3] : ~ c_ListOrder_Ostep1(X16,X1,c_List_Olist_ONil(X3),X3),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_435,plain,
! [X42,X18,X19,X3] :
( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),X42,X3)
| ~ c_List_Olistsp(X18,X42,X3)
| ~ c_List_Olistsp(X19,X42,X3) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_436,plain,
! [X1,X5,X10,X3] :
( c_List_Ofilter(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,c_List_Ofilter(X10,X1,X3),X3)
| ~ hBOOL(hAPP(X10,X5)) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_437,plain,
! [X1,X5,X10,X3] :
( c_List_Olist__ex(X10,X1,X3)
| hBOOL(hAPP(X10,X5))
| ~ c_List_Olist__ex(X10,c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_438,plain,
! [X11,X1,X19,X3] :
( c_List_Olistsp(X19,c_List_Oappend(X1,X11,X3),X3)
| ~ c_List_Olistsp(X19,X11,X3)
| ~ c_List_Olistsp(X19,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_439,plain,
! [X11,X1,X10,X3] :
( c_List_Olist__all(X10,c_List_Oappend(X1,X11,X3),X3)
| ~ c_List_Olist__all(X10,X11,X3)
| ~ c_List_Olist__all(X10,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_440,plain,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X31,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_441,plain,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_442,plain,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_443,plain,
! [X31,X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X31,X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_444,axiom,
! [X1,X5,X2,X3] : c_List_Otake(c_Suc(X2),c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,c_List_Otake(X2,X1,X3),X3),
c_0_116 ).
fof(c_0_445,axiom,
! [X4,X1,X5,X3] :
( c_List_Oremove1(X5,c_List_Olist_OCons(X4,X1,X3),X3) = c_List_Olist_OCons(X4,c_List_Oremove1(X5,X1,X3),X3)
| X5 = X4 ),
c_0_117 ).
fof(c_0_446,axiom,
! [X1,X5,X43,X3] : c_List_Oappend(X1,c_List_Oappend(X5,X43,X3),X3) = c_List_Oappend(c_List_Oappend(X1,X5,X3),X43,X3),
c_0_118 ).
fof(c_0_447,axiom,
! [X20,X11,X5,X3] : c_List_Oappend(c_List_Oappend(X20,X5,X3),X11,X3) = c_List_Oappend(X20,c_List_Oappend(X5,X11,X3),X3),
c_0_119 ).
fof(c_0_448,axiom,
! [X28,X1,X15,X3] : c_List_Oappend(X1,c_List_Oappend(X28,X15,X3),X3) = c_List_Oappend(c_List_Oappend(X1,X28,X3),X15,X3),
c_0_120 ).
fof(c_0_449,axiom,
! [X20,X11,X1,X3] : c_List_Oappend(c_List_Oappend(X1,X11,X3),X20,X3) = c_List_Oappend(X1,c_List_Oappend(X11,X20,X3),X3),
c_0_121 ).
fof(c_0_450,axiom,
! [X20,X28,X5,X3] : c_List_Olist_OCons(X5,c_List_Oappend(X28,X20,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X5,X28,X3),X20,X3),
c_0_122 ).
fof(c_0_451,axiom,
! [X20,X24,X5,X3] : c_List_Olist_OCons(X5,c_List_Oappend(X24,X20,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X5,X24,X3),X20,X3),
c_0_123 ).
fof(c_0_452,axiom,
! [X11,X1,X5,X3] : c_List_Oappend(c_List_Olist_OCons(X5,X1,X3),X11,X3) = c_List_Olist_OCons(X5,c_List_Oappend(X1,X11,X3),X3),
c_0_124 ).
fof(c_0_453,axiom,
! [X20,X24,X5,X3] : c_List_Oappend(c_List_Olist_OCons(X5,X24,X3),X20,X3) = c_List_Olist_OCons(X5,c_List_Oappend(X24,X20,X3),X3),
c_0_125 ).
fof(c_0_454,axiom,
! [X1,X5,X3] : c_List_Orev(c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Oappend(c_List_Orev(X1,X3),c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),
c_0_126 ).
fof(c_0_455,plain,
! [X11,X4,X5,X3] :
( c_List_Omember(X5,X11,X3)
| X5 = X4
| ~ c_List_Omember(X5,c_List_Olist_OCons(X4,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_456,plain,
! [X11,X1,X19,X3] :
( c_List_Olistsp(X19,X1,X3)
| ~ c_List_Olistsp(X19,c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_457,plain,
! [X11,X1,X19,X3] :
( c_List_Olistsp(X19,X11,X3)
| ~ c_List_Olistsp(X19,c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_458,plain,
! [X11,X1,X10,X3] :
( c_List_Olist__all(X10,X11,X3)
| ~ c_List_Olist__all(X10,c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_459,plain,
! [X11,X1,X10,X3] :
( c_List_Olist__all(X10,X1,X3)
| ~ c_List_Olist__all(X10,c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_460,plain,
! [X1,X5,X10,X3] :
( c_List_Olist__all(X10,X1,X3)
| ~ c_List_Olist__all(X10,c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_461,axiom,
! [X11,X4,X1,X3] :
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X11,X3)
| X1 = c_List_Oappend(c_List_Orev(X11,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
c_0_133 ).
fof(c_0_462,axiom,
! [X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)),
c_0_134 ).
fof(c_0_463,axiom,
! [X1,X2,X3] :
( c_List_Otake(c_Suc(X2),X1,X3) = c_List_Olist_OCons(c_List_Ohd(X1,X3),c_List_Otake(X2,c_List_Otl(X1,X3),X3),X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_135 ).
fof(c_0_464,plain,
! [X1,X5,X10,X3] :
( c_List_Olist__all(X10,c_List_Olist_OCons(X5,X1,X3),X3)
| ~ c_List_Olist__all(X10,X1,X3)
| ~ hBOOL(hAPP(X10,X5)) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_465,axiom,
! [X1,X5,X13] : c_List_Orotate1(c_List_Olist_OCons(X5,X1,X13),X13) = c_List_Oappend(X1,c_List_Olist_OCons(X5,c_List_Olist_ONil(X13),X13),X13),
c_0_137 ).
fof(c_0_466,plain,
! [X1,X5,X10,X3] :
( hBOOL(hAPP(X10,X5))
| ~ c_List_Olist__all(X10,c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_467,axiom,
! [X1,X3] :
( c_List_Orotate1(X1,X3) = c_List_Oappend(c_List_Otl(X1,X3),c_List_Olist_OCons(c_List_Ohd(X1,X3),c_List_Olist_ONil(X3),X3),X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_139 ).
fof(c_0_468,axiom,
! [X1,X2,X3] : c_List_Oappend(c_List_Otake(X2,X1,X3),c_List_Odrop(X2,X1,X3),X3) = X1,
c_0_140 ).
fof(c_0_469,plain,
! [X12,X13,X3] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Olinorder__class_Osort__key(X12,c_List_Olist_ONil(X3),X3,X13) = c_List_Olist_ONil(X3) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_470,plain,
! [X1,X5,X10,X3] :
( c_List_OdropWhile(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_OdropWhile(X10,X1,X3)
| ~ hBOOL(hAPP(X10,X5)) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_471,axiom,
! [X16,X3] : c_List_Olistrelp(X16,c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3),
c_0_143 ).
fof(c_0_472,axiom,
! [X12,X13,X3] : c_List_Olist_ONil(X3) = c_List_Omap(X12,c_List_Olist_ONil(X13),X13,X3),
c_0_144 ).
fof(c_0_473,axiom,
! [X44,X6,X3] : c_List_Olist__update(c_List_Olist_ONil(X3),X6,X44,X3) = c_List_Olist_ONil(X3),
c_0_145 ).
fof(c_0_474,axiom,
! [X4,X6,X3] : c_List_Olist__update(c_List_Olist_ONil(X3),X6,X4,X3) = c_List_Olist_ONil(X3),
c_0_146 ).
fof(c_0_475,axiom,
! [X5,X30,X3] : c_List_Olist__update(c_List_Olist_ONil(X3),X30,X5,X3) = c_List_Olist_ONil(X3),
c_0_147 ).
fof(c_0_476,axiom,
! [X12,X13,X3] : c_List_Ofiltermap(X12,c_List_Olist_ONil(X13),X13,X3) = c_List_Olist_ONil(X3),
c_0_148 ).
fof(c_0_477,axiom,
! [X12,X13,X3] : c_List_Omap(X12,c_List_Olist_ONil(X13),X13,X3) = c_List_Olist_ONil(X3),
c_0_149 ).
fof(c_0_478,axiom,
! [X12,X13,X3] : c_List_Oconcat__map(X12,c_List_Olist_ONil(X13),X13,X3) = c_List_Olist_ONil(X3),
c_0_150 ).
fof(c_0_479,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X10,v_sko__List__Xlistsp__Xinduct__2(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_480,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X19,v_sko__List__Xlistsp__Xinduct__1(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_481,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X10,v_sko__List__Xlistsp__Xinducts__2(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_482,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| hBOOL(hAPP(X19,v_sko__List__Xlistsp__Xinducts__1(X19,X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_483,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| c_List_Olistsp(X19,v_sko__List__Xlistsp__Xinduct__2(X19,X10),t_a)
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_484,plain,
! [X5,X10,X19] :
( hBOOL(hAPP(X10,X5))
| c_List_Olistsp(X19,v_sko__List__Xlistsp__Xinducts__2(X19,X10),t_a)
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X19,X5,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_485,plain,
! [X11,X4,X5,X3] :
( c_List_Omember(X5,c_List_Olist_OCons(X4,X11,X3),X3)
| ~ c_List_Omember(X5,X11,X3) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_486,plain,
! [X1,X5,X10,X3] :
( c_List_Olist__ex(X10,c_List_Olist_OCons(X5,X1,X3),X3)
| ~ c_List_Olist__ex(X10,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_487,axiom,
! [X1,X5,X10,X3] :
( c_List_Ofilter(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Ofilter(X10,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
c_0_159 ).
fof(c_0_488,axiom,
! [X1,X5,X10,X3] :
( c_List_Oremove1(X5,c_List_Ofilter(X10,X1,X3),X3) = c_List_Ofilter(X10,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
c_0_160 ).
fof(c_0_489,axiom,
! [X1,X5,X10,X3] :
( c_List_OdropWhile(X10,c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
c_0_161 ).
fof(c_0_490,axiom,
! [X11,X1,X3] : c_List_Orev(c_List_Oappend(X1,X11,X3),X3) = c_List_Oappend(c_List_Orev(X11,X3),c_List_Orev(X1,X3),X3),
c_0_162 ).
fof(c_0_491,plain,
! [X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_492,plain,
! [X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_493,axiom,
! [X1,X5,X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Olist_OCons(X5,X1,X3),
c_0_165 ).
fof(c_0_494,axiom,
! [X1,X5,X3] : c_List_Osplice(c_List_Olist_OCons(X5,X1,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X5,X1,X3),
c_0_166 ).
fof(c_0_495,axiom,
! [X1,X5,X3] : c_List_Olist_OCons(X5,X1,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X5,X1,X3),X3),
c_0_167 ).
fof(c_0_496,axiom,
! [X1,X5,X2,X3] : c_List_Odrop(c_Suc(X2),c_List_Olist_OCons(X5,X1,X3),X3) = c_List_Odrop(X2,X1,X3),
c_0_168 ).
fof(c_0_497,plain,
! [X11,X4,X1,X10,X3] :
( c_List_OdropWhile(X10,X1,X3) != c_List_Olist_OCons(X4,X11,X3)
| ~ hBOOL(hAPP(X10,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_498,axiom,
! [X1,X2,X3] : c_List_Otake(X2,c_List_Otl(X1,X3),X3) = c_List_Otl(c_List_Otake(c_Suc(X2),X1,X3),X3),
c_0_170 ).
fof(c_0_499,plain,
! [X11,X1,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(X11,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_500,plain,
! [X11,X1,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_501,plain,
! [X1,X5,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_502,plain,
! [X1,X5,X10,X3] :
( c_List_Olist__ex(X10,c_List_Olist_OCons(X5,X1,X3),X3)
| ~ hBOOL(hAPP(X10,X5)) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_503,axiom,
! [X11,X1,X3] :
( c_List_Otl(c_List_Oappend(X1,X11,X3),X3) = c_List_Oappend(c_List_Otl(X1,X3),X11,X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_175 ).
fof(c_0_504,plain,
! [X1,X2,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Orotate(X2,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_505,plain,
! [X11,X1,X3] :
( c_List_Odistinct(X11,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_506,plain,
! [X11,X1,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_507,plain,
! [X1,X5,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_508,axiom,
! [X11,X1,X5,X10,X3] :
( c_List_Ofilter(X10,X11,X3) != c_List_Olist_OCons(X5,X1,X3)
| hBOOL(hAPP(X10,X5)) ),
c_0_180 ).
fof(c_0_509,axiom,
! [X11,X1,X5,X10,X3] :
( c_List_Olist_OCons(X5,X1,X3) != c_List_Ofilter(X10,X11,X3)
| hBOOL(hAPP(X10,X5)) ),
c_0_181 ).
fof(c_0_510,axiom,
! [X1,X2,X3] : c_List_Orotate1(c_List_Orotate(X2,X1,X3),X3) = c_List_Orotate(X2,c_List_Orotate1(X1,X3),X3),
c_0_182 ).
fof(c_0_511,axiom,
! [X1,X10,X3] : c_List_Orev(c_List_Ofilter(X10,X1,X3),X3) = c_List_Ofilter(X10,c_List_Orev(X1,X3),X3),
c_0_183 ).
fof(c_0_512,axiom,
! [X1,X2,X3] : c_List_Otl(c_List_Odrop(X2,X1,X3),X3) = c_List_Odrop(X2,c_List_Otl(X1,X3),X3),
c_0_184 ).
fof(c_0_513,axiom,
! [X1,X10,X3] : c_List_Oremdups(c_List_Ofilter(X10,X1,X3),X3) = c_List_Ofilter(X10,c_List_Oremdups(X1,X3),X3),
c_0_185 ).
fof(c_0_514,axiom,
! [X1,X2,X3] : c_List_Odrop(X2,c_List_Otl(X1,X3),X3) = c_List_Otl(c_List_Odrop(X2,X1,X3),X3),
c_0_186 ).
fof(c_0_515,plain,
! [X17,X19] :
( X17 = c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X19,X17),v_sko__List__Xlistsp__Xcases__2(X19,X17),t_a)
| X17 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X19,X17,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_516,axiom,
! [X5,X3] : c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) = c_List_Orev(c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),
c_0_188 ).
fof(c_0_517,axiom,
! [X5,X3] : c_List_Orev(c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),
c_0_189 ).
fof(c_0_518,plain,
! [X1,X5,X3] : ~ c_List_Onull(c_List_Olist_OCons(X5,X1,X3),X3),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_519,plain,
! [X1,X10,X3] :
( c_List_Olist__all(X10,X1,X3)
| ~ c_List_Olist__all(X10,c_List_Orev(X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_520,axiom,
! [X1,X2,X3] : c_List_Orotate(c_Suc(X2),X1,X3) = c_List_Orotate1(c_List_Orotate(X2,X1,X3),X3),
c_0_192 ).
fof(c_0_521,plain,
! [X1,X10,X3] :
( hBOOL(hAPP(X10,X1))
| hBOOL(hAPP(X10,c_List_Osko__List__Xrev__induct__1__2(X10,X3)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(X3))) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_522,axiom,
! [X1,X5,X3] :
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3)
| X1 = c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) ),
c_0_194 ).
fof(c_0_523,axiom,
! [X1,X5,X3] :
( c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3) ),
c_0_195 ).
fof(c_0_524,axiom,
! [X38,X9,X39,X17,X3] :
( c_List_Olist_OCons(X17,X9,X3) != c_List_Olist_OCons(X39,X38,X3)
| X9 = X38 ),
c_0_196 ).
fof(c_0_525,axiom,
! [X38,X9,X39,X17,X3] :
( c_List_Olist_OCons(X17,X9,X3) != c_List_Olist_OCons(X39,X38,X3)
| X17 = X39 ),
c_0_197 ).
fof(c_0_526,axiom,
! [X20,X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != c_List_Oappend(X1,X20,X3)
| X11 = X20 ),
c_0_198 ).
fof(c_0_527,axiom,
! [X20,X11,X1,X3] :
( c_List_Oappend(X11,X1,X3) != c_List_Oappend(X20,X1,X3)
| X11 = X20 ),
c_0_199 ).
fof(c_0_528,plain,
! [X48,X49,X3] :
( X49 = X48
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X49),X48)) ),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_529,plain,
! [X17,X19] :
( hBOOL(hAPP(X19,v_sko__List__Xlistsp__Xcases__1(X19,X17)))
| X17 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X19,X17,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_530,plain,
! [X1,X10,X3] :
( c_List_Olist__all(X10,c_List_Orev(X1,X3),X3)
| ~ c_List_Olist__all(X10,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_531,plain,
! [X17,X19] :
( c_List_Olistsp(X19,v_sko__List__Xlistsp__Xcases__2(X19,X17),t_a)
| X17 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X19,X17,t_a) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_532,axiom,
! [X1,X5,X3] : c_List_Oremove1(X5,c_List_Olist_OCons(X5,X1,X3),X3) = X1,
c_0_204 ).
fof(c_0_533,axiom,
! [X11,X5,X3] : c_List_Omember(X5,c_List_Olist_OCons(X5,X11,X3),X3),
c_0_205 ).
fof(c_0_534,axiom,
! [X18,X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X18,X19,tc_fun(X3,tc_bool)),
c_0_206 ).
fof(c_0_535,plain,
! [X1,X17,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X17,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_536,plain,
! [X1,X10,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X10,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_537,plain,
! [X1,X2,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Otake(X2,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_538,plain,
! [X1,X2,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X2,X1,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_539,axiom,
! [X11,X3] : c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X3),X11,X3),X3) = c_List_Ohd(X11,X3),
c_0_211 ).
fof(c_0_540,plain,
! [X1,X2,X3] :
( c_List_Odistinct(c_List_Orotate(X2,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_541,plain,
! [X1,X5,X3] :
( c_List_Odistinct(c_List_Oremove1(X5,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_542,plain,
! [X1,X35,X3] :
( c_List_Odistinct(c_List_Osublist(X1,X35,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_543,plain,
! [X1,X10,X3] :
( c_List_Odistinct(c_List_OdropWhile(X10,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_544,plain,
! [X1,X6,X3] :
( c_List_Odistinct(c_List_Otake(X6,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_545,plain,
! [X1,X6,X3] :
( c_List_Odistinct(c_List_Odrop(X6,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_546,plain,
! [X1,X10,X3] :
( c_List_Odistinct(c_List_Ofilter(X10,X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_547,axiom,
! [X1,X2,X3] : c_List_Odrop(c_Suc(X2),X1,X3) = c_List_Odrop(X2,c_List_Otl(X1,X3),X3),
c_0_219 ).
fof(c_0_548,plain,
! [X5,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_549,axiom,
! [X11,X1,X3] :
( c_List_Ohd(c_List_Oappend(X1,X11,X3),X3) = c_List_Ohd(X1,X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_221 ).
fof(c_0_550,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xmap__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_551,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlist__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_552,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xremove1__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_553,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xdistinct__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_554,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xconcat__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_555,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xtake__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_556,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__XdropWhile__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_557,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlistset__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_558,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xzip__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_559,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xfoldl__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_560,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlist__update__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_561,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__XtakeWhile__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_562,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlast__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_563,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__XremoveAll__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_564,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlistsum__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_565,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xdrop__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_566,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xremdups__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_567,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xhd__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_568,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xlist__Xinducts__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_569,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xtl__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_570,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xset__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_571,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xsplice__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_572,plain,
! [X9,X10] :
( hBOOL(hAPP(X10,X9))
| hBOOL(hAPP(X10,v_sko__List__Xrev__Xinduct__2(X10)))
| ~ hBOOL(hAPP(X10,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_573,plain,
! [X29,X6] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X29,X6)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X29)) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_574,axiom,
! [X1,X5,X3] : c_List_Otl(c_List_Olist_OCons(X5,X1,X3),X3) = X1,
c_0_246 ).
fof(c_0_575,axiom,
! [X1,X5,X3] : c_List_Ohd(c_List_Olist_OCons(X5,X1,X3),X3) = X5,
c_0_247 ).
fof(c_0_576,plain,
! [X4,X5,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_577,plain,
! [X4,X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X3) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_578,axiom,
! [X5,X3] : hBOOL(hAPP(hAPP(c_fequal(X3),X5),X5)),
c_0_250 ).
fof(c_0_579,axiom,
! [X11,X1,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X1,X11,X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_251 ).
fof(c_0_580,axiom,
! [X11,X1,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X1,X11,X3)
| X11 = c_List_Olist_ONil(X3) ),
c_0_252 ).
fof(c_0_581,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_253 ).
fof(c_0_582,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != c_List_Olist_ONil(X3)
| X11 = c_List_Olist_ONil(X3) ),
c_0_254 ).
fof(c_0_583,axiom,
! [X1,X2,X3] :
( c_List_Orotate(X2,X1,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_255 ).
fof(c_0_584,plain,
! [X10,X3] : ~ c_List_Olist__ex(X10,c_List_Olist_ONil(X3),X3),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_585,plain,
! [X5,X3] : ~ c_List_Omember(X5,c_List_Olist_ONil(X3),X3),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_586,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != X1
| X11 = c_List_Olist_ONil(X3) ),
c_0_258 ).
fof(c_0_587,axiom,
! [X11,X1,X3] :
( X1 != c_List_Oappend(X1,X11,X3)
| X11 = c_List_Olist_ONil(X3) ),
c_0_259 ).
fof(c_0_588,axiom,
! [X11,X1,X3] :
( c_List_Oappend(X1,X11,X3) != X11
| X1 = c_List_Olist_ONil(X3) ),
c_0_260 ).
fof(c_0_589,axiom,
! [X11,X1,X3] :
( X11 != c_List_Oappend(X1,X11,X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_261 ).
fof(c_0_590,axiom,
! [X38,X39,X3] : c_List_Olist_OCons(X39,X38,X3) != c_List_Olist_ONil(X3),
c_0_262 ).
fof(c_0_591,axiom,
! [X24,X5,X3] : c_List_Olist_OCons(X5,X24,X3) != c_List_Olist_ONil(X3),
c_0_263 ).
fof(c_0_592,axiom,
! [X38,X39,X3] : c_List_Olist_ONil(X3) != c_List_Olist_OCons(X39,X38,X3),
c_0_264 ).
fof(c_0_593,axiom,
! [X1,X5,X3] : X1 != c_List_Olist_OCons(X5,X1,X3),
c_0_265 ).
fof(c_0_594,axiom,
! [X5,X29,X3] : c_List_Olist_OCons(X5,X29,X3) != X29,
c_0_266 ).
fof(c_0_595,plain,
! [X16] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X16)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X16)) ),
inference(fof_simplification,[status(thm)],[c_0_267]) ).
fof(c_0_596,axiom,
! [X19,X3] : c_Lattices_Olower__semilattice__class_Oinf(X19,X19,tc_fun(X3,tc_bool)) = X19,
c_0_268 ).
fof(c_0_597,plain,
! [X1,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Orev(X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_598,plain,
! [X1,X3] :
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_599,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3),
c_0_271 ).
fof(c_0_600,axiom,
! [X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_272 ).
fof(c_0_601,plain,
! [X42,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X42,X3),X3)
| ~ c_List_Olinorder__class_Osorted(X42,X3) ),
inference(fof_simplification,[status(thm)],[c_0_273]) ).
fof(c_0_602,axiom,
! [X2,X3] : c_List_Orotate(X2,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_274 ).
fof(c_0_603,axiom,
! [X5,X3] : c_List_Oremove1(X5,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_275 ).
fof(c_0_604,axiom,
! [X10,X3] : c_List_Ofilter(X10,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_276 ).
fof(c_0_605,axiom,
! [X19,X3] : c_List_Osublist(c_List_Olist_ONil(X3),X19,X3) = c_List_Olist_ONil(X3),
c_0_277 ).
fof(c_0_606,axiom,
! [X2,X3] : c_List_Otake(X2,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_278 ).
fof(c_0_607,axiom,
! [X10,X3] : c_List_OdropWhile(X10,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_279 ).
fof(c_0_608,axiom,
! [X36,X3] : c_List_Olist__inter(c_List_Olist_ONil(X3),X36,X3) = c_List_Olist_ONil(X3),
c_0_280 ).
fof(c_0_609,axiom,
! [X2,X3] : c_List_Odrop(X2,c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_281 ).
fof(c_0_610,plain,
! [X1,X3] :
( c_List_Odistinct(c_List_Orev(X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_611,plain,
! [X1,X3] :
( c_List_Odistinct(c_List_Orotate1(X1,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_612,plain,
! [X5,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X5,X3) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_613,axiom,
! [X1,X3] : c_List_Oappend(X1,c_List_Olist_ONil(X3),X3) = X1,
c_0_285 ).
fof(c_0_614,axiom,
! [X5,X3] : X5 = c_List_Oappend(c_List_Olist_ONil(X3),X5,X3),
c_0_286 ).
fof(c_0_615,axiom,
! [X1,X3] : X1 = c_List_Oappend(X1,c_List_Olist_ONil(X3),X3),
c_0_287 ).
fof(c_0_616,axiom,
! [X11,X3] : c_List_Oappend(c_List_Olist_ONil(X3),X11,X3) = X11,
c_0_288 ).
fof(c_0_617,axiom,
! [X11,X3] : X11 = c_List_Oappend(c_List_Olist_ONil(X3),X11,X3),
c_0_289 ).
fof(c_0_618,axiom,
! [X11,X3] : c_List_Osplice(c_List_Olist_ONil(X3),X11,X3) = X11,
c_0_290 ).
fof(c_0_619,axiom,
! [X1,X3] : c_List_Osplice(X1,c_List_Olist_ONil(X3),X3) = X1,
c_0_291 ).
fof(c_0_620,axiom,
! [X19,X3] : c_List_Olistsp(X19,c_List_Olist_ONil(X3),X3),
c_0_292 ).
fof(c_0_621,axiom,
! [X10,X3] : c_List_Olist__all(X10,c_List_Olist_ONil(X3),X3),
c_0_293 ).
fof(c_0_622,axiom,
! [X11,X1,X3] :
( c_List_Orev(X1,X3) != c_List_Orev(X11,X3)
| X1 = X11 ),
c_0_294 ).
fof(c_0_623,axiom,
! [X1,X3] : c_List_Orev(c_List_Orev(X1,X3),X3) = X1,
c_0_295 ).
fof(c_0_624,axiom,
! [X11,X3] : c_List_Orev(c_List_Orev(X11,X3),X3) = X11,
c_0_296 ).
fof(c_0_625,axiom,
! [X1,X3] : X1 = c_List_Orev(c_List_Orev(X1,X3),X3),
c_0_297 ).
fof(c_0_626,axiom,
! [X1,X3] : c_List_Odistinct(c_List_Oremdups(X1,X3),X3),
c_0_298 ).
fof(c_0_627,axiom,
! [X1,X3] :
( c_List_Oremdups(X1,X3) != X1
| c_List_Odistinct(X1,X3) ),
c_0_299 ).
fof(c_0_628,plain,
! [X1,X3] :
( c_List_Oremdups(X1,X3) = X1
| ~ c_List_Odistinct(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_300]) ).
fof(c_0_629,plain,
! [X46,X47] :
( class_Lattices_Olattice(tc_fun(X46,X47))
| ~ class_Lattices_Olattice(X47) ),
inference(fof_simplification,[status(thm)],[c_0_301]) ).
fof(c_0_630,plain,
! [X46,X47] :
( class_Lattices_Olower__semilattice(tc_fun(X46,X47))
| ~ class_Lattices_Olattice(X47) ),
inference(fof_simplification,[status(thm)],[c_0_302]) ).
fof(c_0_631,axiom,
! [X1,X3] :
( c_List_Orev(X1,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_303 ).
fof(c_0_632,axiom,
! [X5,X3] :
( c_List_Olist_ONil(X3) != c_List_Oremdups(X5,X3)
| X5 = c_List_Olist_ONil(X3) ),
c_0_304 ).
fof(c_0_633,axiom,
! [X1,X3] :
( c_List_Orotate1(X1,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_305 ).
fof(c_0_634,axiom,
! [X1,X3] :
( c_List_Olist_ONil(X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_ONil(X3) ),
c_0_306 ).
fof(c_0_635,axiom,
! [X5,X3] :
( c_List_Oremdups(X5,X3) != c_List_Olist_ONil(X3)
| X5 = c_List_Olist_ONil(X3) ),
c_0_307 ).
fof(c_0_636,plain,
! [X1,X3] :
( X1 = c_List_Olist_ONil(X3)
| ~ c_List_Onull(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_637,plain,
! [X3] :
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_638,axiom,
! [X3] : c_List_Orev(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_310 ).
fof(c_0_639,axiom,
! [X3] : c_List_Orotate1(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_311 ).
fof(c_0_640,axiom,
! [X3] : c_List_Oremdups(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_312 ).
fof(c_0_641,axiom,
! [X3] : c_List_Otl(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_313 ).
fof(c_0_642,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oremdups(c_List_Olist_ONil(X3),X3),
c_0_314 ).
fof(c_0_643,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Orev(c_List_Olist_ONil(X3),X3),
c_0_315 ).
fof(c_0_644,axiom,
! [X3] : c_List_Onull(c_List_Olist_ONil(X3),X3),
c_0_316 ).
fof(c_0_645,axiom,
! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3),
c_0_317 ).
fof(c_0_646,axiom,
! [X33,X34] :
( c_Lambda_OdB_OAbs(X34) != c_Lambda_OdB_OAbs(X33)
| X34 = X33 ),
c_0_318 ).
fof(c_0_647,axiom,
! [X4,X5] :
( c_Suc(X5) != c_Suc(X4)
| X5 = X4 ),
c_0_319 ).
fof(c_0_648,axiom,
! [X7,X8] :
( c_Suc(X8) != c_Suc(X7)
| X8 = X7 ),
c_0_320 ).
fof(c_0_649,axiom,
! [X2] : c_Suc(X2) != X2,
c_0_321 ).
fof(c_0_650,axiom,
! [X2] : X2 != c_Suc(X2),
c_0_322 ).
fof(c_0_651,axiom,
class_Lattices_Olattice(tc_bool),
c_0_323 ).
fof(c_0_652,axiom,
class_Lattices_Olower__semilattice(tc_bool),
c_0_324 ).
fof(c_0_653,axiom,
class_Lattices_Olattice(tc_nat),
c_0_325 ).
fof(c_0_654,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_326 ).
fof(c_0_655,axiom,
class_Lattices_Olower__semilattice(tc_nat),
c_0_327 ).
fof(c_0_656,plain,
! [X28,X29,X30,X31,X32] :
( ~ hBOOL(hAPP(X32,c_List_Olist_Olist__case(X31,X30,c_List_Olist_OCons(X29,X28,t_b),t_a,t_b)))
| hBOOL(hAPP(X32,hAPP(hAPP(X30,X29),X28))) ),
inference(variable_rename,[status(thm)],[c_0_328]) ).
fof(c_0_657,plain,
! [X28,X29,X30,X31,X32] :
( ~ hBOOL(hAPP(X32,c_List_Olist_Olist__case(X30,X29,c_List_Olist_OCons(X31,X28,t_b),t_a,t_b)))
| hBOOL(hAPP(X32,hAPP(hAPP(X29,X31),X28))) ),
inference(variable_rename,[status(thm)],[c_0_329]) ).
fof(c_0_658,plain,
! [X28,X29,X30] :
( ~ hBOOL(hAPP(X30,c_List_Olist_Olist__case(X29,X28,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_330]) ).
fof(c_0_659,plain,
! [X24,X25,X26,X27,X28,X29,X30] :
( c_List_Olist__all2(X28,c_List_Oappend(X27,X25,X30),c_List_Oappend(X26,X24,X29),X30,X29)
| ~ c_List_Olist__all2(X28,X25,X24,X30,X29)
| ~ c_List_Olist__all2(X28,X27,X26,X30,X29) ),
inference(variable_rename,[status(thm)],[c_0_331]) ).
fof(c_0_660,plain,
! [X18,X19,X20,X21,X22,X23] : c_List_Ofoldr(X20,c_List_Oappend(X19,X18,X22),X21,X22,X23) = c_List_Ofoldr(X20,X19,c_List_Ofoldr(X20,X18,X21,X22,X23),X22,X23),
inference(variable_rename,[status(thm)],[c_0_332]) ).
fof(c_0_661,plain,
! [X18,X19,X20,X21,X22,X23] : c_List_Ofoldl(X20,X21,c_List_Oappend(X19,X18,X22),X23,X22) = c_List_Ofoldl(X20,c_List_Ofoldl(X20,X21,X19,X23,X22),X18,X23,X22),
inference(variable_rename,[status(thm)],[c_0_333]) ).
fof(c_0_662,plain,
! [X28,X29,X30,X31,X32,X33] : c_List_Olist_Olist__rec(X30,X29,c_List_Olist_OCons(X31,X28,X32),X33,X32) = hAPP(hAPP(hAPP(X29,X31),X28),c_List_Olist_Olist__rec(X30,X29,X28,X33,X32)),
inference(variable_rename,[status(thm)],[c_0_334]) ).
fof(c_0_663,plain,
! [X18,X19,X20,X21,X22,X23] : c_List_Ofoldr(X20,c_List_Olist_OCons(X19,X18,X22),X21,X22,X23) = hAPP(hAPP(X20,X19),c_List_Ofoldr(X20,X18,X21,X22,X23)),
inference(variable_rename,[status(thm)],[c_0_335]) ).
fof(c_0_664,plain,
! [X25,X26,X27,X28,X29,X30,X31] :
( c_List_Olist__all2(X29,c_List_Olist_OCons(X28,X27,X31),c_List_Olist_OCons(X26,X25,X30),X31,X30)
| ~ c_List_Olist__all2(X29,X27,X25,X31,X30)
| ~ hBOOL(hAPP(hAPP(X29,X28),X26)) ),
inference(variable_rename,[status(thm)],[c_0_336]) ).
fof(c_0_665,plain,
! [X26,X27,X28,X29,X30,X31,X32] :
( c_List_Olist__all2(X30,c_List_Olist_OCons(X29,X26,X32),c_List_Olist_OCons(X28,X27,X31),X32,X31)
| ~ c_List_Olist__all2(X30,X26,X27,X32,X31)
| ~ hBOOL(hAPP(hAPP(X30,X29),X28)) ),
inference(variable_rename,[status(thm)],[c_0_337]) ).
fof(c_0_666,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( c_List_Olist__all2(X18,c_List_Olist_OCons(X17,X16,X20),c_List_Olist_OCons(X15,X14,X19),X20,X19)
| ~ c_List_Olist__all2(X18,X16,X14,X20,X19)
| ~ hBOOL(hAPP(hAPP(X18,X17),X15)) ),
inference(variable_rename,[status(thm)],[c_0_338]) ).
fof(c_0_667,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( c_List_Olist__all2(X18,X16,X14,X20,X19)
| ~ c_List_Olist__all2(X18,c_List_Olist_OCons(X17,X16,X20),c_List_Olist_OCons(X15,X14,X19),X20,X19) ),
inference(variable_rename,[status(thm)],[c_0_339]) ).
fof(c_0_668,plain,
! [X38,X39,X40,X41,X42,X43] :
( c_List_Olist__all2(X41,c_List_Odrop(X38,X40,X43),c_List_Odrop(X38,X39,X42),X43,X42)
| ~ c_List_Olist__all2(X41,X40,X39,X43,X42) ),
inference(variable_rename,[status(thm)],[c_0_340]) ).
fof(c_0_669,plain,
! [X14,X15,X16,X17,X18,X19] :
( c_List_Olist__all2(X17,c_List_Otake(X16,X15,X19),c_List_Otake(X16,X14,X18),X19,X18)
| ~ c_List_Olist__all2(X17,X15,X14,X19,X18) ),
inference(variable_rename,[status(thm)],[c_0_341]) ).
fof(c_0_670,plain,
! [X14,X15,X16,X17,X18] :
( c_List_Olist__all2(X16,X15,X14,X18,X17)
| ~ c_List_Olist__all2(X16,c_List_Orev(X15,X18),c_List_Orev(X14,X17),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_342]) ).
fof(c_0_671,plain,
! [X14,X15,X16,X17,X18] :
( c_List_Olist__all2(X16,X15,c_List_Orev(X14,X17),X18,X17)
| ~ c_List_Olist__all2(X16,c_List_Orev(X15,X18),X14,X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_343]) ).
fof(c_0_672,plain,
! [X14,X15,X16,X17,X18] :
( c_List_Olist__all2(X16,c_List_Orev(X15,X18),X14,X18,X17)
| ~ c_List_Olist__all2(X16,X15,c_List_Orev(X14,X17),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_344]) ).
fof(c_0_673,plain,
! [X14,X15,X16,X17,X18] :
( c_List_Olist__all2(X16,c_List_Orev(X15,X18),c_List_Orev(X14,X17),X18,X17)
| ~ c_List_Olist__all2(X16,X15,X14,X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_345]) ).
fof(c_0_674,plain,
! [X18,X19,X20,X21,X22,X23] : c_List_Ofoldl(X20,X21,c_List_Olist_OCons(X19,X18,X22),X23,X22) = c_List_Ofoldl(X20,hAPP(hAPP(X20,X21),X19),X18,X23,X22),
inference(variable_rename,[status(thm)],[c_0_346]) ).
fof(c_0_675,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( hBOOL(hAPP(hAPP(X18,X17),X15))
| ~ c_List_Olist__all2(X18,c_List_Olist_OCons(X17,X16,X20),c_List_Olist_OCons(X15,X14,X19),X20,X19) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_347])])]) ).
fof(c_0_676,plain,
! [X14,X15,X16,X17] :
( X14 = c_List_Olist_ONil(X16)
| ~ c_List_Olist__all2(X15,c_List_Olist_ONil(X17),X14,X17,X16) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_348])])]) ).
fof(c_0_677,plain,
! [X14,X15,X16,X17] :
( X14 = c_List_Olist_ONil(X17)
| ~ c_List_Olist__all2(X15,X14,c_List_Olist_ONil(X16),X17,X16) ),
inference(variable_rename,[status(thm)],[c_0_349]) ).
fof(c_0_678,plain,
! [X12,X13,X14] :
( X13 = X12
| ~ c_List_Olist__all2(c_fequal(X14),X13,X12,X14,X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_350])])]) ).
fof(c_0_679,plain,
! [X17,X18,X19,X20,X21,X22] :
( hBOOL(hAPP(hAPP(X21,X18),X20))
| c_ListOrder_Ostep1(X21,X17,X19,X22)
| ~ c_ListOrder_Ostep1(X21,c_List_Oappend(X17,c_List_Olist_OCons(X18,c_List_Olist_ONil(X22),X22),X22),c_List_Oappend(X19,c_List_Olist_OCons(X20,c_List_Olist_ONil(X22),X22),X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_351])])]) ).
fof(c_0_680,plain,
! [X17,X18,X19,X20,X21,X22] :
( X17 = X19
| c_ListOrder_Ostep1(X21,X17,X19,X22)
| ~ c_ListOrder_Ostep1(X21,c_List_Oappend(X17,c_List_Olist_OCons(X18,c_List_Olist_ONil(X22),X22),X22),c_List_Oappend(X19,c_List_Olist_OCons(X20,c_List_Olist_ONil(X22),X22),X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_352])])]) ).
fof(c_0_681,plain,
! [X11,X12,X13] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X12,X13),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X12,X13),c_List_Olist_ONil(X13),X13),X13)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X13))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_353])])]) ).
fof(c_0_682,plain,
! [X17,X18,X19,X20,X21,X22] :
( hBOOL(hAPP(hAPP(X21,X18),X20))
| X18 = X20
| ~ c_ListOrder_Ostep1(X21,c_List_Oappend(X17,c_List_Olist_OCons(X18,c_List_Olist_ONil(X22),X22),X22),c_List_Oappend(X19,c_List_Olist_OCons(X20,c_List_Olist_ONil(X22),X22),X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_354])])]) ).
fof(c_0_683,plain,
! [X31,X32,X33,X34,X35,X36] : c_List_Omap(X34,c_List_Olist__update(X32,X33,X31,X35),X35,X36) = c_List_Olist__update(c_List_Omap(X34,X32,X35,X36),X33,hAPP(X34,X31),X36),
inference(variable_rename,[status(thm)],[c_0_355]) ).
fof(c_0_684,plain,
! [X14,X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_List_Olinorder__class_Osorted(c_List_Omap(X15,c_List_Olinorder__class_Osort__key(X15,X14,X16,X17),X16,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_356]) ).
fof(c_0_685,plain,
! [X42,X43,X44,X45,X46,X47] :
( c_List_Olist__update(c_List_Olist__update(X42,X46,X44,X47),X45,X43,X47) = c_List_Olist__update(c_List_Olist__update(X42,X45,X43,X47),X46,X44,X47)
| X46 = X45 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_357])])]) ).
fof(c_0_686,plain,
! [X17,X18,X19,X20,X21,X22] :
( X17 = X19
| X18 = X20
| ~ c_ListOrder_Ostep1(X21,c_List_Oappend(X17,c_List_Olist_OCons(X18,c_List_Olist_ONil(X22),X22),X22),c_List_Oappend(X19,c_List_Olist_OCons(X20,c_List_Olist_ONil(X22),X22),X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_358])])]) ).
fof(c_0_687,plain,
! [X14,X15,X16,X17,X18] : c_List_Omap(X16,c_List_Oappend(X15,X14,X17),X17,X18) = c_List_Oappend(c_List_Omap(X16,X15,X17,X18),c_List_Omap(X16,X14,X17,X18),X18),
inference(variable_rename,[status(thm)],[c_0_359]) ).
fof(c_0_688,plain,
! [X28,X29,X30,X31,X32,X33] : c_List_Olist_Olist__case(X30,X29,c_List_Olist_OCons(X31,X28,X32),X33,X32) = hAPP(hAPP(X29,X31),X28),
inference(variable_rename,[status(thm)],[c_0_360]) ).
fof(c_0_689,plain,
! [X14,X15,X16] : c_List_Olist__all2(X14,c_List_Olist_ONil(X16),c_List_Olist_ONil(X15),X16,X15),
inference(variable_rename,[status(thm)],[c_0_361]) ).
fof(c_0_690,plain,
! [X28,X29,X30,X31] : c_List_Olist_Olist__case(X29,X28,c_List_Olist_ONil(X30),X31,X30) = X29,
inference(variable_rename,[status(thm)],[c_0_362]) ).
fof(c_0_691,plain,
! [X46,X47,X48,X49] : c_Map_Omap__upds(X46,c_List_Olist_ONil(X49),X47,X49,X48) = X46,
inference(variable_rename,[status(thm)],[c_0_363]) ).
fof(c_0_692,plain,
! [X46,X47,X48,X49] : c_Map_Omap__upds(X46,X47,c_List_Olist_ONil(X48),X49,X48) = X46,
inference(variable_rename,[status(thm)],[c_0_364]) ).
fof(c_0_693,plain,
! [X28,X29,X30,X31] : c_List_Olist_Olist__rec(X29,X28,c_List_Olist_ONil(X30),X31,X30) = X29,
inference(variable_rename,[status(thm)],[c_0_365]) ).
fof(c_0_694,plain,
! [X18,X19,X20,X21] : c_List_Ofoldr(X18,c_List_Olist_ONil(X20),X19,X20,X21) = X19,
inference(variable_rename,[status(thm)],[c_0_366]) ).
fof(c_0_695,plain,
! [X18,X19,X20,X21] : c_List_Ofoldl(X18,X19,c_List_Olist_ONil(X20),X21,X20) = X19,
inference(variable_rename,[status(thm)],[c_0_367]) ).
fof(c_0_696,plain,
! [X6,X7] : c_List_Olist__all2(c_fequal(X7),X6,X6,X7,X7),
inference(variable_rename,[status(thm)],[c_0_368]) ).
fof(c_0_697,plain,
! [X17,X18,X19,X20,X21,X22] :
( c_ListOrder_Ostep1(X21,X17,X19,X22)
| hBOOL(hAPP(hAPP(X21,X18),X20))
| ~ c_ListOrder_Ostep1(X21,c_List_Olist_OCons(X18,X17,X22),c_List_Olist_OCons(X20,X19,X22),X22) ),
inference(variable_rename,[status(thm)],[c_0_369]) ).
fof(c_0_698,plain,
! [X7,X8,X9,X10,X11] : c_List_Olist__update(c_List_Olist__update(X8,X10,X9,X11),X10,X7,X11) = c_List_Olist__update(X8,X10,X7,X11),
inference(variable_rename,[status(thm)],[c_0_370]) ).
fof(c_0_699,plain,
! [X17,X18,X19,X20,X21,X22] :
( c_List_Olistrelp(X21,c_List_Olist_OCons(X20,X19,X22),c_List_Olist_OCons(X18,X17,X22),X22)
| ~ c_List_Olistrelp(X21,X19,X17,X22)
| ~ hBOOL(hAPP(hAPP(X21,X20),X18)) ),
inference(variable_rename,[status(thm)],[c_0_371]) ).
fof(c_0_700,plain,
! [X17,X18,X19,X20,X21,X22] :
( c_ListOrder_Ostep1(X21,X17,X19,X22)
| X19 = X17
| ~ c_ListOrder_Ostep1(X21,c_List_Olist_OCons(X18,X17,X22),c_List_Olist_OCons(X20,X19,X22),X22) ),
inference(variable_rename,[status(thm)],[c_0_372]) ).
fof(c_0_701,plain,
! [X14,X15,X16,X17,X18] : c_List_Oconcat__map(X16,c_List_Olist_OCons(X15,X14,X17),X17,X18) = c_List_Oappend(hAPP(X16,X15),c_List_Oconcat__map(X16,X14,X17,X18),X18),
inference(variable_rename,[status(thm)],[c_0_373]) ).
fof(c_0_702,plain,
! [X14,X15,X16,X17,X18] : c_List_Omap(X16,c_List_Olist_OCons(X15,X14,X17),X17,X18) = c_List_Olist_OCons(hAPP(X16,X15),c_List_Omap(X16,X14,X17,X18),X18),
inference(variable_rename,[status(thm)],[c_0_374]) ).
fof(c_0_703,plain,
! [X26,X27,X28,X29,X30] : c_List_Olist_OCons(hAPP(X28,X27),c_List_Omap(X28,X26,X29,X30),X30) = c_List_Omap(X28,c_List_Olist_OCons(X27,X26,X29),X29,X30),
inference(variable_rename,[status(thm)],[c_0_375]) ).
fof(c_0_704,plain,
! [X25,X26,X27,X28,X29] : c_List_Omap(X27,c_List_Olist_OCons(X26,X25,X28),X28,X29) = c_List_Olist_OCons(hAPP(X27,X26),c_List_Omap(X27,X25,X28,X29),X29),
inference(variable_rename,[status(thm)],[c_0_376]) ).
fof(c_0_705,plain,
! [X7,X8,X9,X10,X11] : c_List_Olist__update(c_List_Olist_OCons(X9,X8,X11),c_Suc(X10),X7,X11) = c_List_Olist_OCons(X9,c_List_Olist__update(X8,X10,X7,X11),X11),
inference(variable_rename,[status(thm)],[c_0_377]) ).
fof(c_0_706,plain,
! [X14,X15,X16,X17,X18] : c_List_Odrop(X15,c_List_Omap(X16,X14,X17,X18),X18) = c_List_Omap(X16,c_List_Odrop(X15,X14,X17),X17,X18),
inference(variable_rename,[status(thm)],[c_0_378]) ).
fof(c_0_707,plain,
! [X14,X15,X16,X17,X18] : c_List_Orotate(X15,c_List_Omap(X16,X14,X17,X18),X18) = c_List_Omap(X16,c_List_Orotate(X15,X14,X17),X17,X18),
inference(variable_rename,[status(thm)],[c_0_379]) ).
fof(c_0_708,plain,
! [X14,X15,X16,X17,X18] : c_List_Otake(X15,c_List_Omap(X16,X14,X17,X18),X18) = c_List_Omap(X16,c_List_Otake(X15,X14,X17),X17,X18),
inference(variable_rename,[status(thm)],[c_0_380]) ).
fof(c_0_709,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| ~ hBOOL(hAPP(X21,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X22,X21),v_sko__List__Xlistsp__Xinducts__2(X22,X21),t_a)))
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_381])])]) ).
fof(c_0_710,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| ~ hBOOL(hAPP(X21,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X22,X21),v_sko__List__Xlistsp__Xinduct__2(X22,X21),t_a)))
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_382])])]) ).
fof(c_0_711,plain,
! [X11,X12,X13] :
( ~ hBOOL(hAPP(X12,c_List_Ohd(c_List_OdropWhile(X12,X11,X13),X13)))
| c_List_OdropWhile(X12,X11,X13) = c_List_Olist_ONil(X13) ),
inference(variable_rename,[status(thm)],[c_0_383]) ).
fof(c_0_712,plain,
! [X17,X18,X19,X20,X21] :
( c_ListOrder_Ostep1(X20,c_List_Olist_OCons(X19,X17,X21),c_List_Olist_OCons(X19,X18,X21),X21)
| ~ c_ListOrder_Ostep1(X20,X17,X18,X21) ),
inference(variable_rename,[status(thm)],[c_0_384]) ).
fof(c_0_713,plain,
! [X17,X18,X19,X20,X21] :
( ~ c_ListOrder_Ostep1(X20,X17,X18,X21)
| c_ListOrder_Ostep1(X20,c_List_Oappend(X17,X19,X21),c_List_Oappend(X18,X19,X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_385]) ).
fof(c_0_714,plain,
! [X17,X18,X19,X20,X21] :
( c_ListOrder_Ostep1(X20,c_List_Oappend(X17,X18,X21),c_List_Oappend(X17,X19,X21),X21)
| ~ c_ListOrder_Ostep1(X20,X18,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_386]) ).
fof(c_0_715,plain,
! [X14,X15,X16,X17] :
( ~ class_Orderings_Olinorder(X16)
| c_List_Odistinct(X14,X17)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X15,X14,X17,X16),X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_387])])]) ).
fof(c_0_716,plain,
! [X14,X15,X16,X17] :
( c_List_Odistinct(X14,X16)
| ~ c_List_Odistinct(c_List_Omap(X15,X14,X16,X17),X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_388])])]) ).
fof(c_0_717,plain,
! [X17,X18,X19,X20,X21,X22] :
( X20 = X18
| hBOOL(hAPP(hAPP(X21,X18),X20))
| ~ c_ListOrder_Ostep1(X21,c_List_Olist_OCons(X18,X17,X22),c_List_Olist_OCons(X20,X19,X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_389])])]) ).
fof(c_0_718,plain,
! [X14,X15,X16,X17] : c_List_Orev(c_List_Omap(X15,X14,X16,X17),X17) = c_List_Omap(X15,c_List_Orev(X14,X16),X16,X17),
inference(variable_rename,[status(thm)],[c_0_390]) ).
fof(c_0_719,plain,
! [X17,X18,X19,X20,X21,X22] :
( X20 = X18
| X19 = X17
| ~ c_ListOrder_Ostep1(X21,c_List_Olist_OCons(X18,X17,X22),c_List_Olist_OCons(X20,X19,X22),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_391])])]) ).
fof(c_0_720,plain,
! [X12,X13,X14,X15] :
( c_List_Osplice(c_List_Olist_OCons(X14,X13,X15),X12,X15) = c_List_Olist_OCons(X14,c_List_Olist_OCons(c_List_Ohd(X12,X15),c_List_Osplice(X13,c_List_Otl(X12,X15),X15),X15),X15)
| X12 = c_List_Olist_ONil(X15) ),
inference(variable_rename,[status(thm)],[c_0_392]) ).
fof(c_0_721,plain,
! [X21,X22,X23,X24] :
( ~ class_Orderings_Olinorder(X24)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X22,X21,X24),X24)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X23,c_List_Olist_OCons(X22,X21,X24),X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_393]) ).
fof(c_0_722,plain,
! [X12,X13,X14,X15,X16] : c_List_Osplice(c_List_Olist_OCons(X15,X14,X16),c_List_Olist_OCons(X13,X12,X16),X16) = c_List_Olist_OCons(X15,c_List_Olist_OCons(X13,c_List_Osplice(X14,X12,X16),X16),X16),
inference(variable_rename,[status(thm)],[c_0_394]) ).
fof(c_0_723,plain,
! [X25,X26,X27,X28,X29] :
( ~ hBOOL(hAPP(hAPP(X28,X25),X26))
| c_ListOrder_Ostep1(X28,c_List_Olist_OCons(X25,X27,X29),c_List_Olist_OCons(X26,X27,X29),X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_395])])]) ).
fof(c_0_724,plain,
! [X20,X21,X22,X23] :
( hBOOL(hAPP(X22,X20))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X22,X21,tc_fun(X23,tc_bool)),X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_396])])]) ).
fof(c_0_725,plain,
! [X20,X21,X22,X23] :
( hBOOL(hAPP(X21,X20))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X22,X21,tc_fun(X23,tc_bool)),X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_397])])]) ).
fof(c_0_726,plain,
! [X12,X13,X14,X15,X16] :
( c_List_Oappend(X14,c_List_Olist_OCons(X15,c_List_Olist_ONil(X16),X16),X16) != c_List_Oappend(X12,c_List_Olist_OCons(X13,c_List_Olist_ONil(X16),X16),X16)
| X15 = X13 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_398])])]) ).
fof(c_0_727,plain,
! [X12,X13,X14,X15,X16] :
( c_List_Oappend(X14,c_List_Olist_OCons(X15,c_List_Olist_ONil(X16),X16),X16) != c_List_Oappend(X12,c_List_Olist_OCons(X13,c_List_Olist_ONil(X16),X16),X16)
| X14 = X12 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_399])])]) ).
fof(c_0_728,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X12),v_sko__List__Xtl__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_400]) ).
fof(c_0_729,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X12),v_sko__List__Xlast__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_401]) ).
fof(c_0_730,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X12),v_sko__List__Xlistsum__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_402]) ).
fof(c_0_731,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X12),v_sko__List__Xdistinct__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_403]) ).
fof(c_0_732,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X12),v_sko__List__Xsplice__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_404]) ).
fof(c_0_733,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X12),v_sko__List__Xremove1__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_405]) ).
fof(c_0_734,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X12),v_sko__List__Xlistset__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_406]) ).
fof(c_0_735,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X12),v_sko__List__Xzip__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_407]) ).
fof(c_0_736,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X12),v_sko__List__XdropWhile__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_408]) ).
fof(c_0_737,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X12),v_sko__List__XtakeWhile__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_409]) ).
fof(c_0_738,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X12),v_sko__List__XremoveAll__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_410]) ).
fof(c_0_739,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X12),v_sko__List__Xremdups__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_411]) ).
fof(c_0_740,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X12),v_sko__List__Xlist__update__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_412]) ).
fof(c_0_741,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X12),v_sko__List__Xlist__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_413]) ).
fof(c_0_742,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X12),v_sko__List__Xlist__Xinducts__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_414]) ).
fof(c_0_743,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X12),v_sko__List__Xmap__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_415]) ).
fof(c_0_744,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X12),v_sko__List__Xset__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_416]) ).
fof(c_0_745,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X12),v_sko__List__Xtake__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_417]) ).
fof(c_0_746,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X12),v_sko__List__Xhd__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_418]) ).
fof(c_0_747,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X12),v_sko__List__Xconcat__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_419]) ).
fof(c_0_748,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X12),v_sko__List__Xfoldl__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_420]) ).
fof(c_0_749,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X12),v_sko__List__Xrev__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_421]) ).
fof(c_0_750,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| ~ hBOOL(hAPP(X12,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X12),v_sko__List__Xdrop__Xinduct__2(X12),t_a)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_422]) ).
fof(c_0_751,plain,
! [X14,X15,X16,X17] :
( ~ class_Orderings_Olinorder(X16)
| c_List_Odistinct(c_List_Olinorder__class_Osort__key(X15,X14,X17,X16),X17)
| ~ c_List_Odistinct(X14,X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_423])])]) ).
fof(c_0_752,plain,
! [X12,X13,X14] : c_List_Orev(c_List_Oappend(c_List_Orev(X12,X14),c_List_Olist_OCons(X13,c_List_Olist_ONil(X14),X14),X14),X14) = c_List_Olist_OCons(X13,X12,X14),
inference(variable_rename,[status(thm)],[c_0_424]) ).
fof(c_0_753,plain,
! [X33,X34,X35,X36] : c_Lattices_Olower__semilattice__class_Oinf(X35,c_Lattices_Olower__semilattice__class_Oinf(X34,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X34,c_Lattices_Olower__semilattice__class_Oinf(X35,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_425]) ).
fof(c_0_754,plain,
! [X33,X34,X35,X36] : c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X35,c_Lattices_Olower__semilattice__class_Oinf(X34,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_426]) ).
fof(c_0_755,plain,
! [X20,X21,X22] :
( c_List_Olistsp(X21,X20,X22)
| ~ hBOOL(hAPP(X21,c_List_Osko__List__Xin__listsp__conv__set__1__1(X21,X20,X22))) ),
inference(variable_rename,[status(thm)],[c_0_427]) ).
fof(c_0_756,plain,
! [X20,X21,X22,X23] :
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X22,X21,tc_fun(X23,tc_bool)),X20))
| ~ hBOOL(hAPP(X21,X20))
| ~ hBOOL(hAPP(X22,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_428])])]) ).
fof(c_0_757,plain,
! [X12,X13,X14,X15] : c_List_Ofilter(X14,c_List_Oappend(X13,X12,X15),X15) = c_List_Oappend(c_List_Ofilter(X14,X13,X15),c_List_Ofilter(X14,X12,X15),X15),
inference(variable_rename,[status(thm)],[c_0_429]) ).
fof(c_0_758,plain,
! [X31,X32,X33,X34] :
( c_List_Olist__update(X31,X33,X32,X34) != c_List_Olist_ONil(X34)
| X31 = c_List_Olist_ONil(X34) ),
inference(variable_rename,[status(thm)],[c_0_430]) ).
fof(c_0_759,plain,
! [X14,X15,X16,X17] :
( c_List_Olist_ONil(X17) != c_List_Omap(X15,X14,X16,X17)
| X14 = c_List_Olist_ONil(X16) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_431])])]) ).
fof(c_0_760,plain,
! [X14,X15,X16,X17] :
( c_List_Omap(X15,X14,X16,X17) != c_List_Olist_ONil(X17)
| X14 = c_List_Olist_ONil(X16) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_432])])]) ).
fof(c_0_761,plain,
! [X17,X18,X19] : ~ c_ListOrder_Ostep1(X18,c_List_Olist_ONil(X19),X17,X19),
inference(variable_rename,[status(thm)],[c_0_433]) ).
fof(c_0_762,plain,
! [X17,X18,X19] : ~ c_ListOrder_Ostep1(X18,X17,c_List_Olist_ONil(X19),X19),
inference(variable_rename,[status(thm)],[c_0_434]) ).
fof(c_0_763,plain,
! [X43,X44,X45,X46] :
( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X45,X44,tc_fun(X46,tc_bool)),X43,X46)
| ~ c_List_Olistsp(X44,X43,X46)
| ~ c_List_Olistsp(X45,X43,X46) ),
inference(variable_rename,[status(thm)],[c_0_435]) ).
fof(c_0_764,plain,
! [X11,X12,X13,X14] :
( c_List_Ofilter(X13,c_List_Olist_OCons(X12,X11,X14),X14) = c_List_Olist_OCons(X12,c_List_Ofilter(X13,X11,X14),X14)
| ~ hBOOL(hAPP(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_436])])]) ).
fof(c_0_765,plain,
! [X11,X12,X13,X14] :
( c_List_Olist__ex(X13,X11,X14)
| hBOOL(hAPP(X13,X12))
| ~ c_List_Olist__ex(X13,c_List_Olist_OCons(X12,X11,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_437]) ).
fof(c_0_766,plain,
! [X20,X21,X22,X23] :
( c_List_Olistsp(X22,c_List_Oappend(X21,X20,X23),X23)
| ~ c_List_Olistsp(X22,X20,X23)
| ~ c_List_Olistsp(X22,X21,X23) ),
inference(variable_rename,[status(thm)],[c_0_438]) ).
fof(c_0_767,plain,
! [X12,X13,X14,X15] :
( c_List_Olist__all(X14,c_List_Oappend(X13,X12,X15),X15)
| ~ c_List_Olist__all(X14,X12,X15)
| ~ c_List_Olist__all(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_439]) ).
fof(c_0_768,plain,
! [X32,X33,X34,X35] :
( ~ class_Lattices_Olower__semilattice(X35)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X34,X33,X35),X32,X35) = c_Lattices_Olower__semilattice__class_Oinf(X34,c_Lattices_Olower__semilattice__class_Oinf(X33,X32,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_440]) ).
fof(c_0_769,plain,
! [X32,X33,X34,X35] :
( ~ class_Lattices_Olower__semilattice(X35)
| c_Lattices_Olower__semilattice__class_Oinf(X34,c_Lattices_Olower__semilattice__class_Oinf(X33,X32,X35),X35) = c_Lattices_Olower__semilattice__class_Oinf(X33,c_Lattices_Olower__semilattice__class_Oinf(X34,X32,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_441]) ).
fof(c_0_770,plain,
! [X32,X33,X34,X35] :
( ~ class_Lattices_Olattice(X35)
| c_Lattices_Olower__semilattice__class_Oinf(X34,c_Lattices_Olower__semilattice__class_Oinf(X33,X32,X35),X35) = c_Lattices_Olower__semilattice__class_Oinf(X33,c_Lattices_Olower__semilattice__class_Oinf(X34,X32,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_442]) ).
fof(c_0_771,plain,
! [X32,X33,X34,X35] :
( ~ class_Lattices_Olattice(X35)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X34,X33,X35),X32,X35) = c_Lattices_Olower__semilattice__class_Oinf(X34,c_Lattices_Olower__semilattice__class_Oinf(X33,X32,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_443]) ).
fof(c_0_772,plain,
! [X6,X7,X8,X9] : c_List_Otake(c_Suc(X8),c_List_Olist_OCons(X7,X6,X9),X9) = c_List_Olist_OCons(X7,c_List_Otake(X8,X6,X9),X9),
inference(variable_rename,[status(thm)],[c_0_444]) ).
fof(c_0_773,plain,
! [X6,X7,X8,X9] :
( c_List_Oremove1(X8,c_List_Olist_OCons(X6,X7,X9),X9) = c_List_Olist_OCons(X6,c_List_Oremove1(X8,X7,X9),X9)
| X8 = X6 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_445])])]) ).
fof(c_0_774,plain,
! [X44,X45,X46,X47] : c_List_Oappend(X44,c_List_Oappend(X45,X46,X47),X47) = c_List_Oappend(c_List_Oappend(X44,X45,X47),X46,X47),
inference(variable_rename,[status(thm)],[c_0_446]) ).
fof(c_0_775,plain,
! [X21,X22,X23,X24] : c_List_Oappend(c_List_Oappend(X21,X23,X24),X22,X24) = c_List_Oappend(X21,c_List_Oappend(X23,X22,X24),X24),
inference(variable_rename,[status(thm)],[c_0_447]) ).
fof(c_0_776,plain,
! [X29,X30,X31,X32] : c_List_Oappend(X30,c_List_Oappend(X29,X31,X32),X32) = c_List_Oappend(c_List_Oappend(X30,X29,X32),X31,X32),
inference(variable_rename,[status(thm)],[c_0_448]) ).
fof(c_0_777,plain,
! [X21,X22,X23,X24] : c_List_Oappend(c_List_Oappend(X23,X22,X24),X21,X24) = c_List_Oappend(X23,c_List_Oappend(X22,X21,X24),X24),
inference(variable_rename,[status(thm)],[c_0_449]) ).
fof(c_0_778,plain,
! [X29,X30,X31,X32] : c_List_Olist_OCons(X31,c_List_Oappend(X30,X29,X32),X32) = c_List_Oappend(c_List_Olist_OCons(X31,X30,X32),X29,X32),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_779,plain,
! [X25,X26,X27,X28] : c_List_Olist_OCons(X27,c_List_Oappend(X26,X25,X28),X28) = c_List_Oappend(c_List_Olist_OCons(X27,X26,X28),X25,X28),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_780,plain,
! [X12,X13,X14,X15] : c_List_Oappend(c_List_Olist_OCons(X14,X13,X15),X12,X15) = c_List_Olist_OCons(X14,c_List_Oappend(X13,X12,X15),X15),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_781,plain,
! [X25,X26,X27,X28] : c_List_Oappend(c_List_Olist_OCons(X27,X26,X28),X25,X28) = c_List_Olist_OCons(X27,c_List_Oappend(X26,X25,X28),X28),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_782,plain,
! [X6,X7,X8] : c_List_Orev(c_List_Olist_OCons(X7,X6,X8),X8) = c_List_Oappend(c_List_Orev(X6,X8),c_List_Olist_OCons(X7,c_List_Olist_ONil(X8),X8),X8),
inference(variable_rename,[status(thm)],[c_0_454]) ).
fof(c_0_783,plain,
! [X12,X13,X14,X15] :
( c_List_Omember(X14,X12,X15)
| X14 = X13
| ~ c_List_Omember(X14,c_List_Olist_OCons(X13,X12,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_455]) ).
fof(c_0_784,plain,
! [X20,X21,X22,X23] :
( c_List_Olistsp(X22,X21,X23)
| ~ c_List_Olistsp(X22,c_List_Oappend(X21,X20,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_456]) ).
fof(c_0_785,plain,
! [X20,X21,X22,X23] :
( c_List_Olistsp(X22,X20,X23)
| ~ c_List_Olistsp(X22,c_List_Oappend(X21,X20,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_457]) ).
fof(c_0_786,plain,
! [X12,X13,X14,X15] :
( c_List_Olist__all(X14,X12,X15)
| ~ c_List_Olist__all(X14,c_List_Oappend(X13,X12,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_458]) ).
fof(c_0_787,plain,
! [X12,X13,X14,X15] :
( c_List_Olist__all(X14,X13,X15)
| ~ c_List_Olist__all(X14,c_List_Oappend(X13,X12,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_459]) ).
fof(c_0_788,plain,
! [X11,X12,X13,X14] :
( c_List_Olist__all(X13,X11,X14)
| ~ c_List_Olist__all(X13,c_List_Olist_OCons(X12,X11,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_460]) ).
fof(c_0_789,plain,
! [X12,X13,X14,X15] :
( c_List_Orev(X14,X15) != c_List_Olist_OCons(X13,X12,X15)
| X14 = c_List_Oappend(c_List_Orev(X12,X15),c_List_Olist_OCons(X13,c_List_Olist_ONil(X15),X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_461]) ).
fof(c_0_790,plain,
! [X20,X21,X22] : c_Lattices_Olower__semilattice__class_Oinf(X21,c_Lattices_Olower__semilattice__class_Oinf(X21,X20,tc_fun(X22,tc_bool)),tc_fun(X22,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X21,X20,tc_fun(X22,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_462]) ).
fof(c_0_791,plain,
! [X4,X5,X6] :
( c_List_Otake(c_Suc(X5),X4,X6) = c_List_Olist_OCons(c_List_Ohd(X4,X6),c_List_Otake(X5,c_List_Otl(X4,X6),X6),X6)
| X4 = c_List_Olist_ONil(X6) ),
inference(variable_rename,[status(thm)],[c_0_463]) ).
fof(c_0_792,plain,
! [X11,X12,X13,X14] :
( c_List_Olist__all(X13,c_List_Olist_OCons(X12,X11,X14),X14)
| ~ c_List_Olist__all(X13,X11,X14)
| ~ hBOOL(hAPP(X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_464]) ).
fof(c_0_793,plain,
! [X14,X15,X16] : c_List_Orotate1(c_List_Olist_OCons(X15,X14,X16),X16) = c_List_Oappend(X14,c_List_Olist_OCons(X15,c_List_Olist_ONil(X16),X16),X16),
inference(variable_rename,[status(thm)],[c_0_465]) ).
fof(c_0_794,plain,
! [X11,X12,X13,X14] :
( hBOOL(hAPP(X13,X12))
| ~ c_List_Olist__all(X13,c_List_Olist_OCons(X12,X11,X14),X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_466])])]) ).
fof(c_0_795,plain,
! [X4,X5] :
( c_List_Orotate1(X4,X5) = c_List_Oappend(c_List_Otl(X4,X5),c_List_Olist_OCons(c_List_Ohd(X4,X5),c_List_Olist_ONil(X5),X5),X5)
| X4 = c_List_Olist_ONil(X5) ),
inference(variable_rename,[status(thm)],[c_0_467]) ).
fof(c_0_796,plain,
! [X4,X5,X6] : c_List_Oappend(c_List_Otake(X5,X4,X6),c_List_Odrop(X5,X4,X6),X6) = X4,
inference(variable_rename,[status(thm)],[c_0_468]) ).
fof(c_0_797,plain,
! [X14,X15,X16] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osort__key(X14,c_List_Olist_ONil(X16),X16,X15) = c_List_Olist_ONil(X16) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_469])])]) ).
fof(c_0_798,plain,
! [X11,X12,X13,X14] :
( c_List_OdropWhile(X13,c_List_Olist_OCons(X12,X11,X14),X14) = c_List_OdropWhile(X13,X11,X14)
| ~ hBOOL(hAPP(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_470])])]) ).
fof(c_0_799,plain,
! [X17,X18] : c_List_Olistrelp(X17,c_List_Olist_ONil(X18),c_List_Olist_ONil(X18),X18),
inference(variable_rename,[status(thm)],[c_0_471]) ).
fof(c_0_800,plain,
! [X14,X15,X16] : c_List_Olist_ONil(X16) = c_List_Omap(X14,c_List_Olist_ONil(X15),X15,X16),
inference(variable_rename,[status(thm)],[c_0_472]) ).
fof(c_0_801,plain,
! [X45,X46,X47] : c_List_Olist__update(c_List_Olist_ONil(X47),X46,X45,X47) = c_List_Olist_ONil(X47),
inference(variable_rename,[status(thm)],[c_0_473]) ).
fof(c_0_802,plain,
! [X7,X8,X9] : c_List_Olist__update(c_List_Olist_ONil(X9),X8,X7,X9) = c_List_Olist_ONil(X9),
inference(variable_rename,[status(thm)],[c_0_474]) ).
fof(c_0_803,plain,
! [X31,X32,X33] : c_List_Olist__update(c_List_Olist_ONil(X33),X32,X31,X33) = c_List_Olist_ONil(X33),
inference(variable_rename,[status(thm)],[c_0_475]) ).
fof(c_0_804,plain,
! [X14,X15,X16] : c_List_Ofiltermap(X14,c_List_Olist_ONil(X15),X15,X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_476]) ).
fof(c_0_805,plain,
! [X14,X15,X16] : c_List_Omap(X14,c_List_Olist_ONil(X15),X15,X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_477]) ).
fof(c_0_806,plain,
! [X14,X15,X16] : c_List_Oconcat__map(X14,c_List_Olist_ONil(X15),X15,X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_478]) ).
fof(c_0_807,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| hBOOL(hAPP(X21,v_sko__List__Xlistsp__Xinduct__2(X22,X21)))
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_479])])]) ).
fof(c_0_808,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| hBOOL(hAPP(X22,v_sko__List__Xlistsp__Xinduct__1(X22,X21)))
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_480])])]) ).
fof(c_0_809,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| hBOOL(hAPP(X21,v_sko__List__Xlistsp__Xinducts__2(X22,X21)))
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_481])])]) ).
fof(c_0_810,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| hBOOL(hAPP(X22,v_sko__List__Xlistsp__Xinducts__1(X22,X21)))
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_482])])]) ).
fof(c_0_811,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| c_List_Olistsp(X22,v_sko__List__Xlistsp__Xinduct__2(X22,X21),t_a)
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_483])])]) ).
fof(c_0_812,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| c_List_Olistsp(X22,v_sko__List__Xlistsp__Xinducts__2(X22,X21),t_a)
| ~ hBOOL(hAPP(X21,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X22,X20,t_a) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_484])])]) ).
fof(c_0_813,plain,
! [X12,X13,X14,X15] :
( c_List_Omember(X14,c_List_Olist_OCons(X13,X12,X15),X15)
| ~ c_List_Omember(X14,X12,X15) ),
inference(variable_rename,[status(thm)],[c_0_485]) ).
fof(c_0_814,plain,
! [X11,X12,X13,X14] :
( c_List_Olist__ex(X13,c_List_Olist_OCons(X12,X11,X14),X14)
| ~ c_List_Olist__ex(X13,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_486]) ).
fof(c_0_815,plain,
! [X11,X12,X13,X14] :
( c_List_Ofilter(X13,c_List_Olist_OCons(X12,X11,X14),X14) = c_List_Ofilter(X13,X11,X14)
| hBOOL(hAPP(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_487])])]) ).
fof(c_0_816,plain,
! [X11,X12,X13,X14] :
( c_List_Oremove1(X12,c_List_Ofilter(X13,X11,X14),X14) = c_List_Ofilter(X13,X11,X14)
| hBOOL(hAPP(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_488])])]) ).
fof(c_0_817,plain,
! [X11,X12,X13,X14] :
( c_List_OdropWhile(X13,c_List_Olist_OCons(X12,X11,X14),X14) = c_List_Olist_OCons(X12,X11,X14)
| hBOOL(hAPP(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_489])])]) ).
fof(c_0_818,plain,
! [X12,X13,X14] : c_List_Orev(c_List_Oappend(X13,X12,X14),X14) = c_List_Oappend(c_List_Orev(X12,X14),c_List_Orev(X13,X14),X14),
inference(variable_rename,[status(thm)],[c_0_490]) ).
fof(c_0_819,plain,
! [X6,X7,X8] :
( ~ class_Lattices_Olower__semilattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_491]) ).
fof(c_0_820,plain,
! [X6,X7,X8] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_492]) ).
fof(c_0_821,plain,
! [X6,X7,X8] : c_List_Oappend(c_List_Olist_ONil(X8),c_List_Olist_OCons(X7,X6,X8),X8) = c_List_Olist_OCons(X7,X6,X8),
inference(variable_rename,[status(thm)],[c_0_493]) ).
fof(c_0_822,plain,
! [X6,X7,X8] : c_List_Osplice(c_List_Olist_OCons(X7,X6,X8),c_List_Olist_ONil(X8),X8) = c_List_Olist_OCons(X7,X6,X8),
inference(variable_rename,[status(thm)],[c_0_494]) ).
fof(c_0_823,plain,
! [X6,X7,X8] : c_List_Olist_OCons(X7,X6,X8) = c_List_Oappend(c_List_Olist_ONil(X8),c_List_Olist_OCons(X7,X6,X8),X8),
inference(variable_rename,[status(thm)],[c_0_495]) ).
fof(c_0_824,plain,
! [X6,X7,X8,X9] : c_List_Odrop(c_Suc(X8),c_List_Olist_OCons(X7,X6,X9),X9) = c_List_Odrop(X8,X6,X9),
inference(variable_rename,[status(thm)],[c_0_496]) ).
fof(c_0_825,plain,
! [X12,X13,X14,X15,X16] :
( c_List_OdropWhile(X15,X14,X16) != c_List_Olist_OCons(X13,X12,X16)
| ~ hBOOL(hAPP(X15,X13)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_497])])]) ).
fof(c_0_826,plain,
! [X4,X5,X6] : c_List_Otake(X5,c_List_Otl(X4,X6),X6) = c_List_Otl(c_List_Otake(c_Suc(X5),X4,X6),X6),
inference(variable_rename,[status(thm)],[c_0_498]) ).
fof(c_0_827,plain,
! [X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_List_Olinorder__class_Osorted(X12,X14)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_499]) ).
fof(c_0_828,plain,
! [X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_List_Olinorder__class_Osorted(X13,X14)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_500]) ).
fof(c_0_829,plain,
! [X6,X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| c_List_Olinorder__class_Osorted(X6,X8)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X7,X6,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_501]) ).
fof(c_0_830,plain,
! [X11,X12,X13,X14] :
( c_List_Olist__ex(X13,c_List_Olist_OCons(X12,X11,X14),X14)
| ~ hBOOL(hAPP(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_502])])]) ).
fof(c_0_831,plain,
! [X12,X13,X14] :
( c_List_Otl(c_List_Oappend(X13,X12,X14),X14) = c_List_Oappend(c_List_Otl(X13,X14),X12,X14)
| X13 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_503]) ).
fof(c_0_832,plain,
! [X4,X5,X6] :
( c_List_Odistinct(X4,X6)
| ~ c_List_Odistinct(c_List_Orotate(X5,X4,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_504]) ).
fof(c_0_833,plain,
! [X12,X13,X14] :
( c_List_Odistinct(X12,X14)
| ~ c_List_Odistinct(c_List_Oappend(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_505]) ).
fof(c_0_834,plain,
! [X12,X13,X14] :
( c_List_Odistinct(X13,X14)
| ~ c_List_Odistinct(c_List_Oappend(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_506]) ).
fof(c_0_835,plain,
! [X6,X7,X8] :
( c_List_Odistinct(X6,X8)
| ~ c_List_Odistinct(c_List_Olist_OCons(X7,X6,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_507]) ).
fof(c_0_836,plain,
! [X12,X13,X14,X15,X16] :
( c_List_Ofilter(X15,X12,X16) != c_List_Olist_OCons(X14,X13,X16)
| hBOOL(hAPP(X15,X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_508])])]) ).
fof(c_0_837,plain,
! [X12,X13,X14,X15,X16] :
( c_List_Olist_OCons(X14,X13,X16) != c_List_Ofilter(X15,X12,X16)
| hBOOL(hAPP(X15,X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_509])])]) ).
fof(c_0_838,plain,
! [X4,X5,X6] : c_List_Orotate1(c_List_Orotate(X5,X4,X6),X6) = c_List_Orotate(X5,c_List_Orotate1(X4,X6),X6),
inference(variable_rename,[status(thm)],[c_0_510]) ).
fof(c_0_839,plain,
! [X11,X12,X13] : c_List_Orev(c_List_Ofilter(X12,X11,X13),X13) = c_List_Ofilter(X12,c_List_Orev(X11,X13),X13),
inference(variable_rename,[status(thm)],[c_0_511]) ).
fof(c_0_840,plain,
! [X4,X5,X6] : c_List_Otl(c_List_Odrop(X5,X4,X6),X6) = c_List_Odrop(X5,c_List_Otl(X4,X6),X6),
inference(variable_rename,[status(thm)],[c_0_512]) ).
fof(c_0_841,plain,
! [X11,X12,X13] : c_List_Oremdups(c_List_Ofilter(X12,X11,X13),X13) = c_List_Ofilter(X12,c_List_Oremdups(X11,X13),X13),
inference(variable_rename,[status(thm)],[c_0_513]) ).
fof(c_0_842,plain,
! [X4,X5,X6] : c_List_Odrop(X5,c_List_Otl(X4,X6),X6) = c_List_Otl(c_List_Odrop(X5,X4,X6),X6),
inference(variable_rename,[status(thm)],[c_0_514]) ).
fof(c_0_843,plain,
! [X20,X21] :
( X20 = c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X21,X20),v_sko__List__Xlistsp__Xcases__2(X21,X20),t_a)
| X20 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X21,X20,t_a) ),
inference(variable_rename,[status(thm)],[c_0_515]) ).
fof(c_0_844,plain,
! [X6,X7] : c_List_Olist_OCons(X6,c_List_Olist_ONil(X7),X7) = c_List_Orev(c_List_Olist_OCons(X6,c_List_Olist_ONil(X7),X7),X7),
inference(variable_rename,[status(thm)],[c_0_516]) ).
fof(c_0_845,plain,
! [X6,X7] : c_List_Orev(c_List_Olist_OCons(X6,c_List_Olist_ONil(X7),X7),X7) = c_List_Olist_OCons(X6,c_List_Olist_ONil(X7),X7),
inference(variable_rename,[status(thm)],[c_0_517]) ).
fof(c_0_846,plain,
! [X6,X7,X8] : ~ c_List_Onull(c_List_Olist_OCons(X7,X6,X8),X8),
inference(variable_rename,[status(thm)],[c_0_518]) ).
fof(c_0_847,plain,
! [X11,X12,X13] :
( c_List_Olist__all(X12,X11,X13)
| ~ c_List_Olist__all(X12,c_List_Orev(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_519]) ).
fof(c_0_848,plain,
! [X4,X5,X6] : c_List_Orotate(c_Suc(X5),X4,X6) = c_List_Orotate1(c_List_Orotate(X5,X4,X6),X6),
inference(variable_rename,[status(thm)],[c_0_520]) ).
fof(c_0_849,plain,
! [X11,X12,X13] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,c_List_Osko__List__Xrev__induct__1__2(X12,X13)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(X13))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_521])])]) ).
fof(c_0_850,plain,
! [X6,X7,X8] :
( c_List_Orev(X6,X8) != c_List_Olist_OCons(X7,c_List_Olist_ONil(X8),X8)
| X6 = c_List_Olist_OCons(X7,c_List_Olist_ONil(X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_522]) ).
fof(c_0_851,plain,
! [X6,X7,X8] :
( c_List_Olist_OCons(X7,c_List_Olist_ONil(X8),X8) != c_List_Orev(X6,X8)
| X6 = c_List_Olist_OCons(X7,c_List_Olist_ONil(X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_523]) ).
fof(c_0_852,plain,
! [X40,X41,X42,X43,X44] :
( c_List_Olist_OCons(X43,X41,X44) != c_List_Olist_OCons(X42,X40,X44)
| X41 = X40 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_524])])]) ).
fof(c_0_853,plain,
! [X40,X41,X42,X43,X44] :
( c_List_Olist_OCons(X43,X41,X44) != c_List_Olist_OCons(X42,X40,X44)
| X43 = X42 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_525])])]) ).
fof(c_0_854,plain,
! [X21,X22,X23,X24] :
( c_List_Oappend(X23,X22,X24) != c_List_Oappend(X23,X21,X24)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_526])])]) ).
fof(c_0_855,plain,
! [X21,X22,X23,X24] :
( c_List_Oappend(X22,X23,X24) != c_List_Oappend(X21,X23,X24)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_527])])]) ).
fof(c_0_856,plain,
! [X50,X51,X52] :
( X51 = X50
| ~ hBOOL(hAPP(hAPP(c_fequal(X52),X51),X50)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_528])])]) ).
fof(c_0_857,plain,
! [X20,X21] :
( hBOOL(hAPP(X21,v_sko__List__Xlistsp__Xcases__1(X21,X20)))
| X20 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X21,X20,t_a) ),
inference(variable_rename,[status(thm)],[c_0_529]) ).
fof(c_0_858,plain,
! [X11,X12,X13] :
( c_List_Olist__all(X12,c_List_Orev(X11,X13),X13)
| ~ c_List_Olist__all(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_530]) ).
fof(c_0_859,plain,
! [X20,X21] :
( c_List_Olistsp(X21,v_sko__List__Xlistsp__Xcases__2(X21,X20),t_a)
| X20 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X21,X20,t_a) ),
inference(variable_rename,[status(thm)],[c_0_531]) ).
fof(c_0_860,plain,
! [X6,X7,X8] : c_List_Oremove1(X7,c_List_Olist_OCons(X7,X6,X8),X8) = X6,
inference(variable_rename,[status(thm)],[c_0_532]) ).
fof(c_0_861,plain,
! [X12,X13,X14] : c_List_Omember(X13,c_List_Olist_OCons(X13,X12,X14),X14),
inference(variable_rename,[status(thm)],[c_0_533]) ).
fof(c_0_862,plain,
! [X20,X21,X22] : c_Lattices_Olower__semilattice__class_Oinf(X21,X20,tc_fun(X22,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X20,X21,tc_fun(X22,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_534]) ).
fof(c_0_863,plain,
! [X18,X19,X20] :
( ~ class_Orderings_Olinorder(X20)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X19,X18,X20),X20)
| ~ c_List_Olinorder__class_Osorted(X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_535]) ).
fof(c_0_864,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Olinorder(X13)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X12,X11,X13),X13)
| ~ c_List_Olinorder__class_Osorted(X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_536]) ).
fof(c_0_865,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_List_Olinorder__class_Osorted(c_List_Otake(X5,X4,X6),X6)
| ~ c_List_Olinorder__class_Osorted(X4,X6) ),
inference(variable_rename,[status(thm)],[c_0_537]) ).
fof(c_0_866,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X5,X4,X6),X6)
| ~ c_List_Olinorder__class_Osorted(X4,X6) ),
inference(variable_rename,[status(thm)],[c_0_538]) ).
fof(c_0_867,plain,
! [X12,X13] : c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X13),X12,X13),X13) = c_List_Ohd(X12,X13),
inference(variable_rename,[status(thm)],[c_0_539]) ).
fof(c_0_868,plain,
! [X4,X5,X6] :
( c_List_Odistinct(c_List_Orotate(X5,X4,X6),X6)
| ~ c_List_Odistinct(X4,X6) ),
inference(variable_rename,[status(thm)],[c_0_540]) ).
fof(c_0_869,plain,
! [X6,X7,X8] :
( c_List_Odistinct(c_List_Oremove1(X7,X6,X8),X8)
| ~ c_List_Odistinct(X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_541]) ).
fof(c_0_870,plain,
! [X36,X37,X38] :
( c_List_Odistinct(c_List_Osublist(X36,X37,X38),X38)
| ~ c_List_Odistinct(X36,X38) ),
inference(variable_rename,[status(thm)],[c_0_542]) ).
fof(c_0_871,plain,
! [X11,X12,X13] :
( c_List_Odistinct(c_List_OdropWhile(X12,X11,X13),X13)
| ~ c_List_Odistinct(X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_543]) ).
fof(c_0_872,plain,
! [X7,X8,X9] :
( c_List_Odistinct(c_List_Otake(X8,X7,X9),X9)
| ~ c_List_Odistinct(X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_544]) ).
fof(c_0_873,plain,
! [X7,X8,X9] :
( c_List_Odistinct(c_List_Odrop(X8,X7,X9),X9)
| ~ c_List_Odistinct(X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_545]) ).
fof(c_0_874,plain,
! [X11,X12,X13] :
( c_List_Odistinct(c_List_Ofilter(X12,X11,X13),X13)
| ~ c_List_Odistinct(X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_546]) ).
fof(c_0_875,plain,
! [X4,X5,X6] : c_List_Odrop(c_Suc(X5),X4,X6) = c_List_Odrop(X5,c_List_Otl(X4,X6),X6),
inference(variable_rename,[status(thm)],[c_0_547]) ).
fof(c_0_876,plain,
! [X6,X7] :
( ~ class_Orderings_Olinorder(X7)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X6,c_List_Olist_ONil(X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_548]) ).
fof(c_0_877,plain,
! [X12,X13,X14] :
( c_List_Ohd(c_List_Oappend(X13,X12,X14),X14) = c_List_Ohd(X13,X14)
| X13 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_549]) ).
fof(c_0_878,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xmap__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_550]) ).
fof(c_0_879,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xlist__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_551]) ).
fof(c_0_880,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xremove1__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_552]) ).
fof(c_0_881,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xdistinct__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_553]) ).
fof(c_0_882,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xconcat__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_554]) ).
fof(c_0_883,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xtake__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_555]) ).
fof(c_0_884,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__XdropWhile__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_556]) ).
fof(c_0_885,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xlistset__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_557]) ).
fof(c_0_886,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xzip__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_558]) ).
fof(c_0_887,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xfoldl__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_559]) ).
fof(c_0_888,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xlist__update__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_560]) ).
fof(c_0_889,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__XtakeWhile__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_561]) ).
fof(c_0_890,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xlast__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_562]) ).
fof(c_0_891,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__XremoveAll__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_563]) ).
fof(c_0_892,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xlistsum__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_564]) ).
fof(c_0_893,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xdrop__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_565]) ).
fof(c_0_894,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xremdups__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_566]) ).
fof(c_0_895,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xhd__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_567]) ).
fof(c_0_896,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xlist__Xinducts__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_568]) ).
fof(c_0_897,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xtl__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_569]) ).
fof(c_0_898,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xset__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_570]) ).
fof(c_0_899,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xsplice__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_571]) ).
fof(c_0_900,plain,
! [X11,X12] :
( hBOOL(hAPP(X12,X11))
| hBOOL(hAPP(X12,v_sko__List__Xrev__Xinduct__2(X12)))
| ~ hBOOL(hAPP(X12,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_572]) ).
fof(c_0_901,plain,
! [X30,X31] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X30,X31)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X30)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_573])])]) ).
fof(c_0_902,plain,
! [X6,X7,X8] : c_List_Otl(c_List_Olist_OCons(X7,X6,X8),X8) = X6,
inference(variable_rename,[status(thm)],[c_0_574]) ).
fof(c_0_903,plain,
! [X6,X7,X8] : c_List_Ohd(c_List_Olist_OCons(X7,X6,X8),X8) = X7,
inference(variable_rename,[status(thm)],[c_0_575]) ).
fof(c_0_904,plain,
! [X6,X7,X8] :
( ~ class_Lattices_Olattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_576]) ).
fof(c_0_905,plain,
! [X6,X7,X8] :
( ~ class_Lattices_Olower__semilattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_577]) ).
fof(c_0_906,plain,
! [X6,X7] : hBOOL(hAPP(hAPP(c_fequal(X7),X6),X6)),
inference(variable_rename,[status(thm)],[c_0_578]) ).
fof(c_0_907,plain,
! [X12,X13,X14] :
( c_List_Olist_ONil(X14) != c_List_Oappend(X13,X12,X14)
| X13 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_579]) ).
fof(c_0_908,plain,
! [X12,X13,X14] :
( c_List_Olist_ONil(X14) != c_List_Oappend(X13,X12,X14)
| X12 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_580]) ).
fof(c_0_909,plain,
! [X12,X13,X14] :
( c_List_Oappend(X13,X12,X14) != c_List_Olist_ONil(X14)
| X13 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_581]) ).
fof(c_0_910,plain,
! [X12,X13,X14] :
( c_List_Oappend(X13,X12,X14) != c_List_Olist_ONil(X14)
| X12 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_582]) ).
fof(c_0_911,plain,
! [X4,X5,X6] :
( c_List_Orotate(X5,X4,X6) != c_List_Olist_ONil(X6)
| X4 = c_List_Olist_ONil(X6) ),
inference(variable_rename,[status(thm)],[c_0_583]) ).
fof(c_0_912,plain,
! [X11,X12] : ~ c_List_Olist__ex(X11,c_List_Olist_ONil(X12),X12),
inference(variable_rename,[status(thm)],[c_0_584]) ).
fof(c_0_913,plain,
! [X6,X7] : ~ c_List_Omember(X6,c_List_Olist_ONil(X7),X7),
inference(variable_rename,[status(thm)],[c_0_585]) ).
fof(c_0_914,plain,
! [X12,X13,X14] :
( c_List_Oappend(X13,X12,X14) != X13
| X12 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_586]) ).
fof(c_0_915,plain,
! [X12,X13,X14] :
( X13 != c_List_Oappend(X13,X12,X14)
| X12 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_587]) ).
fof(c_0_916,plain,
! [X12,X13,X14] :
( c_List_Oappend(X13,X12,X14) != X12
| X13 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_588]) ).
fof(c_0_917,plain,
! [X12,X13,X14] :
( X12 != c_List_Oappend(X13,X12,X14)
| X13 = c_List_Olist_ONil(X14) ),
inference(variable_rename,[status(thm)],[c_0_589]) ).
fof(c_0_918,plain,
! [X40,X41,X42] : c_List_Olist_OCons(X41,X40,X42) != c_List_Olist_ONil(X42),
inference(variable_rename,[status(thm)],[c_0_590]) ).
fof(c_0_919,plain,
! [X25,X26,X27] : c_List_Olist_OCons(X26,X25,X27) != c_List_Olist_ONil(X27),
inference(variable_rename,[status(thm)],[c_0_591]) ).
fof(c_0_920,plain,
! [X40,X41,X42] : c_List_Olist_ONil(X42) != c_List_Olist_OCons(X41,X40,X42),
inference(variable_rename,[status(thm)],[c_0_592]) ).
fof(c_0_921,plain,
! [X6,X7,X8] : X6 != c_List_Olist_OCons(X7,X6,X8),
inference(variable_rename,[status(thm)],[c_0_593]) ).
fof(c_0_922,plain,
! [X30,X31,X32] : c_List_Olist_OCons(X30,X31,X32) != X31,
inference(variable_rename,[status(thm)],[c_0_594]) ).
fof(c_0_923,plain,
! [X17] :
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X17)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X17)) ),
inference(variable_rename,[status(thm)],[c_0_595]) ).
fof(c_0_924,plain,
! [X20,X21] : c_Lattices_Olower__semilattice__class_Oinf(X20,X20,tc_fun(X21,tc_bool)) = X20,
inference(variable_rename,[status(thm)],[c_0_596]) ).
fof(c_0_925,plain,
! [X4,X5] :
( c_List_Odistinct(X4,X5)
| ~ c_List_Odistinct(c_List_Orev(X4,X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_597]) ).
fof(c_0_926,plain,
! [X4,X5] :
( c_List_Odistinct(X4,X5)
| ~ c_List_Odistinct(c_List_Orotate1(X4,X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_598]) ).
fof(c_0_927,plain,
! [X4] : c_List_Olist_ONil(X4) = c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_599]) ).
fof(c_0_928,plain,
! [X4] : c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_600]) ).
fof(c_0_929,plain,
! [X43,X44] :
( ~ class_Orderings_Olinorder(X44)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X43,X44),X44)
| ~ c_List_Olinorder__class_Osorted(X43,X44) ),
inference(variable_rename,[status(thm)],[c_0_601]) ).
fof(c_0_930,plain,
! [X4,X5] : c_List_Orotate(X4,c_List_Olist_ONil(X5),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_602]) ).
fof(c_0_931,plain,
! [X6,X7] : c_List_Oremove1(X6,c_List_Olist_ONil(X7),X7) = c_List_Olist_ONil(X7),
inference(variable_rename,[status(thm)],[c_0_603]) ).
fof(c_0_932,plain,
! [X11,X12] : c_List_Ofilter(X11,c_List_Olist_ONil(X12),X12) = c_List_Olist_ONil(X12),
inference(variable_rename,[status(thm)],[c_0_604]) ).
fof(c_0_933,plain,
! [X20,X21] : c_List_Osublist(c_List_Olist_ONil(X21),X20,X21) = c_List_Olist_ONil(X21),
inference(variable_rename,[status(thm)],[c_0_605]) ).
fof(c_0_934,plain,
! [X4,X5] : c_List_Otake(X4,c_List_Olist_ONil(X5),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_606]) ).
fof(c_0_935,plain,
! [X11,X12] : c_List_OdropWhile(X11,c_List_Olist_ONil(X12),X12) = c_List_Olist_ONil(X12),
inference(variable_rename,[status(thm)],[c_0_607]) ).
fof(c_0_936,plain,
! [X37,X38] : c_List_Olist__inter(c_List_Olist_ONil(X38),X37,X38) = c_List_Olist_ONil(X38),
inference(variable_rename,[status(thm)],[c_0_608]) ).
fof(c_0_937,plain,
! [X4,X5] : c_List_Odrop(X4,c_List_Olist_ONil(X5),X5) = c_List_Olist_ONil(X5),
inference(variable_rename,[status(thm)],[c_0_609]) ).
fof(c_0_938,plain,
! [X4,X5] :
( c_List_Odistinct(c_List_Orev(X4,X5),X5)
| ~ c_List_Odistinct(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_610]) ).
fof(c_0_939,plain,
! [X4,X5] :
( c_List_Odistinct(c_List_Orotate1(X4,X5),X5)
| ~ c_List_Odistinct(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_611]) ).
fof(c_0_940,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_612]) ).
fof(c_0_941,plain,
! [X4,X5] : c_List_Oappend(X4,c_List_Olist_ONil(X5),X5) = X4,
inference(variable_rename,[status(thm)],[c_0_613]) ).
fof(c_0_942,plain,
! [X6,X7] : X6 = c_List_Oappend(c_List_Olist_ONil(X7),X6,X7),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_943,plain,
! [X4,X5] : X4 = c_List_Oappend(X4,c_List_Olist_ONil(X5),X5),
inference(variable_rename,[status(thm)],[c_0_615]) ).
fof(c_0_944,plain,
! [X12,X13] : c_List_Oappend(c_List_Olist_ONil(X13),X12,X13) = X12,
inference(variable_rename,[status(thm)],[c_0_616]) ).
fof(c_0_945,plain,
! [X12,X13] : X12 = c_List_Oappend(c_List_Olist_ONil(X13),X12,X13),
inference(variable_rename,[status(thm)],[c_0_617]) ).
fof(c_0_946,plain,
! [X12,X13] : c_List_Osplice(c_List_Olist_ONil(X13),X12,X13) = X12,
inference(variable_rename,[status(thm)],[c_0_618]) ).
fof(c_0_947,plain,
! [X4,X5] : c_List_Osplice(X4,c_List_Olist_ONil(X5),X5) = X4,
inference(variable_rename,[status(thm)],[c_0_619]) ).
fof(c_0_948,plain,
! [X20,X21] : c_List_Olistsp(X20,c_List_Olist_ONil(X21),X21),
inference(variable_rename,[status(thm)],[c_0_620]) ).
fof(c_0_949,plain,
! [X11,X12] : c_List_Olist__all(X11,c_List_Olist_ONil(X12),X12),
inference(variable_rename,[status(thm)],[c_0_621]) ).
fof(c_0_950,plain,
! [X12,X13,X14] :
( c_List_Orev(X13,X14) != c_List_Orev(X12,X14)
| X13 = X12 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_622])])]) ).
fof(c_0_951,plain,
! [X4,X5] : c_List_Orev(c_List_Orev(X4,X5),X5) = X4,
inference(variable_rename,[status(thm)],[c_0_623]) ).
fof(c_0_952,plain,
! [X12,X13] : c_List_Orev(c_List_Orev(X12,X13),X13) = X12,
inference(variable_rename,[status(thm)],[c_0_624]) ).
fof(c_0_953,plain,
! [X4,X5] : X4 = c_List_Orev(c_List_Orev(X4,X5),X5),
inference(variable_rename,[status(thm)],[c_0_625]) ).
fof(c_0_954,plain,
! [X4,X5] : c_List_Odistinct(c_List_Oremdups(X4,X5),X5),
inference(variable_rename,[status(thm)],[c_0_626]) ).
fof(c_0_955,plain,
! [X4,X5] :
( c_List_Oremdups(X4,X5) != X4
| c_List_Odistinct(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_627]) ).
fof(c_0_956,plain,
! [X4,X5] :
( c_List_Oremdups(X4,X5) = X4
| ~ c_List_Odistinct(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_628]) ).
fof(c_0_957,plain,
! [X48,X49] :
( class_Lattices_Olattice(tc_fun(X48,X49))
| ~ class_Lattices_Olattice(X49) ),
inference(variable_rename,[status(thm)],[c_0_629]) ).
fof(c_0_958,plain,
! [X48,X49] :
( class_Lattices_Olower__semilattice(tc_fun(X48,X49))
| ~ class_Lattices_Olattice(X49) ),
inference(variable_rename,[status(thm)],[c_0_630]) ).
fof(c_0_959,plain,
! [X4,X5] :
( c_List_Orev(X4,X5) != c_List_Olist_ONil(X5)
| X4 = c_List_Olist_ONil(X5) ),
inference(variable_rename,[status(thm)],[c_0_631]) ).
fof(c_0_960,plain,
! [X6,X7] :
( c_List_Olist_ONil(X7) != c_List_Oremdups(X6,X7)
| X6 = c_List_Olist_ONil(X7) ),
inference(variable_rename,[status(thm)],[c_0_632]) ).
fof(c_0_961,plain,
! [X4,X5] :
( c_List_Orotate1(X4,X5) != c_List_Olist_ONil(X5)
| X4 = c_List_Olist_ONil(X5) ),
inference(variable_rename,[status(thm)],[c_0_633]) ).
fof(c_0_962,plain,
! [X4,X5] :
( c_List_Olist_ONil(X5) != c_List_Orev(X4,X5)
| X4 = c_List_Olist_ONil(X5) ),
inference(variable_rename,[status(thm)],[c_0_634]) ).
fof(c_0_963,plain,
! [X6,X7] :
( c_List_Oremdups(X6,X7) != c_List_Olist_ONil(X7)
| X6 = c_List_Olist_ONil(X7) ),
inference(variable_rename,[status(thm)],[c_0_635]) ).
fof(c_0_964,plain,
! [X4,X5] :
( X4 = c_List_Olist_ONil(X5)
| ~ c_List_Onull(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_636]) ).
fof(c_0_965,plain,
! [X4] :
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X4),X4) ),
inference(variable_rename,[status(thm)],[c_0_637]) ).
fof(c_0_966,plain,
! [X4] : c_List_Orev(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_638]) ).
fof(c_0_967,plain,
! [X4] : c_List_Orotate1(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_639]) ).
fof(c_0_968,plain,
! [X4] : c_List_Oremdups(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_640]) ).
fof(c_0_969,plain,
! [X4] : c_List_Otl(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_641]) ).
fof(c_0_970,plain,
! [X4] : c_List_Olist_ONil(X4) = c_List_Oremdups(c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_642]) ).
fof(c_0_971,plain,
! [X4] : c_List_Olist_ONil(X4) = c_List_Orev(c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_643]) ).
fof(c_0_972,plain,
! [X4] : c_List_Onull(c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_644]) ).
fof(c_0_973,plain,
! [X4] : c_List_Odistinct(c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_645]) ).
fof(c_0_974,plain,
! [X35,X36] :
( c_Lambda_OdB_OAbs(X36) != c_Lambda_OdB_OAbs(X35)
| X36 = X35 ),
inference(variable_rename,[status(thm)],[c_0_646]) ).
fof(c_0_975,plain,
! [X6,X7] :
( c_Suc(X7) != c_Suc(X6)
| X7 = X6 ),
inference(variable_rename,[status(thm)],[c_0_647]) ).
fof(c_0_976,plain,
! [X9,X10] :
( c_Suc(X10) != c_Suc(X9)
| X10 = X9 ),
inference(variable_rename,[status(thm)],[c_0_648]) ).
fof(c_0_977,plain,
! [X3] : c_Suc(X3) != X3,
inference(variable_rename,[status(thm)],[c_0_649]) ).
fof(c_0_978,plain,
! [X3] : X3 != c_Suc(X3),
inference(variable_rename,[status(thm)],[c_0_650]) ).
fof(c_0_979,axiom,
class_Lattices_Olattice(tc_bool),
c_0_651 ).
fof(c_0_980,axiom,
class_Lattices_Olower__semilattice(tc_bool),
c_0_652 ).
fof(c_0_981,axiom,
class_Lattices_Olattice(tc_nat),
c_0_653 ).
fof(c_0_982,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_654 ).
fof(c_0_983,axiom,
class_Lattices_Olower__semilattice(tc_nat),
c_0_655 ).
cnf(c_0_984,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_985,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_986,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_658]) ).
cnf(c_0_987,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_659]) ).
cnf(c_0_988,plain,
c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6),
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_989,plain,
c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5),
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_990,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(hAPP(X2,X3),X4),c_List_Olist_Olist__rec(X1,X2,X4,X6,X5)),
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_991,plain,
c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6) = hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)),
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_992,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_993,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_994,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_995,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_996,plain,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_997,plain,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_998,plain,
( c_List_Olist__all2(X1,X2,X4,X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_999,plain,
( c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_1000,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_1001,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_1002,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_674]) ).
cnf(c_0_1003,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_675]) ).
cnf(c_0_1004,plain,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_676]) ).
cnf(c_0_1005,plain,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_677]) ).
cnf(c_0_1006,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_678]) ).
cnf(c_0_1007,plain,
( c_ListOrder_Ostep1(X1,X2,X5,X4)
| hBOOL(hAPP(hAPP(X1,X3),X6))
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_679]) ).
cnf(c_0_1008,plain,
( c_ListOrder_Ostep1(X1,X2,X5,X4)
| X2 = X5
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_680]) ).
cnf(c_0_1009,plain,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2)))
| ~ hBOOL(hAPP(X1,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X1,X2),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X1,X2),c_List_Olist_ONil(X2),X2),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_681]) ).
cnf(c_0_1010,plain,
( X3 = X6
| hBOOL(hAPP(hAPP(X1,X3),X6))
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_682]) ).
cnf(c_0_1011,plain,
c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6) = c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6),
inference(split_conjunct,[status(thm)],[c_0_683]) ).
cnf(c_0_1012,plain,
( c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_684]) ).
cnf(c_0_1013,plain,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_1014,plain,
( X3 = X6
| X2 = X5
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_1015,plain,
c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5) = c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_687]) ).
cnf(c_0_1016,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
inference(split_conjunct,[status(thm)],[c_0_688]) ).
cnf(c_0_1017,plain,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
inference(split_conjunct,[status(thm)],[c_0_689]) ).
cnf(c_0_1018,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_690]) ).
cnf(c_0_1019,plain,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_691]) ).
cnf(c_0_1020,plain,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_692]) ).
cnf(c_0_1021,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_693]) ).
cnf(c_0_1022,plain,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_694]) ).
cnf(c_0_1023,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_695]) ).
cnf(c_0_1024,plain,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_696]) ).
cnf(c_0_1025,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_697]) ).
cnf(c_0_1026,plain,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
inference(split_conjunct,[status(thm)],[c_0_698]) ).
cnf(c_0_1027,plain,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_699]) ).
cnf(c_0_1028,plain,
( X6 = X3
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_700]) ).
cnf(c_0_1029,plain,
c_List_Oconcat__map(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Oappend(hAPP(X1,X2),c_List_Oconcat__map(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_701]) ).
cnf(c_0_1030,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_702]) ).
cnf(c_0_1031,plain,
c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_703]) ).
cnf(c_0_1032,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_704]) ).
cnf(c_0_1033,plain,
c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X5,X3) = c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_705]) ).
cnf(c_0_1034,plain,
c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_706]) ).
cnf(c_0_1035,plain,
c_List_Orotate(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Orotate(X1,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_707]) ).
cnf(c_0_1036,plain,
c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_708]) ).
cnf(c_0_1037,plain,
( hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X3),v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_709]) ).
cnf(c_0_1038,plain,
( hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X3),v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_710]) ).
cnf(c_0_1039,plain,
( c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_711]) ).
cnf(c_0_1040,plain,
( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_712]) ).
cnf(c_0_1041,plain,
( c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_713]) ).
cnf(c_0_1042,plain,
( c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_714]) ).
cnf(c_0_1043,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_715]) ).
cnf(c_0_1044,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_716]) ).
cnf(c_0_1045,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| X5 = X2
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_717]) ).
cnf(c_0_1046,plain,
c_List_Orev(c_List_Omap(X1,X2,X3,X4),X4) = c_List_Omap(X1,c_List_Orev(X2,X3),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_718]) ).
cnf(c_0_1047,plain,
( X6 = X3
| X5 = X2
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_719]) ).
cnf(c_0_1048,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Osplice(c_List_Olist_OCons(X3,X4,X2),X1,X2) = c_List_Olist_OCons(X3,c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Osplice(X4,c_List_Otl(X1,X2),X2),X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_720]) ).
cnf(c_0_1049,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_721]) ).
cnf(c_0_1050,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_722]) ).
cnf(c_0_1051,plain,
( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_723]) ).
cnf(c_0_1052,plain,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_724]) ).
cnf(c_0_1053,plain,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_725]) ).
cnf(c_0_1054,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_726]) ).
cnf(c_0_1055,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_727]) ).
cnf(c_0_1056,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X1),v_sko__List__Xtl__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_728]) ).
cnf(c_0_1057,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_729]) ).
cnf(c_0_1058,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_730]) ).
cnf(c_0_1059,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_731]) ).
cnf(c_0_1060,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X1),v_sko__List__Xsplice__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_732]) ).
cnf(c_0_1061,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_733]) ).
cnf(c_0_1062,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_734]) ).
cnf(c_0_1063,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_735]) ).
cnf(c_0_1064,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_736]) ).
cnf(c_0_1065,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_737]) ).
cnf(c_0_1066,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_738]) ).
cnf(c_0_1067,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X1),v_sko__List__Xremdups__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_739]) ).
cnf(c_0_1068,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_740]) ).
cnf(c_0_1069,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_741]) ).
cnf(c_0_1070,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X1),v_sko__List__Xlist__Xinducts__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_742]) ).
cnf(c_0_1071,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X1),v_sko__List__Xmap__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_743]) ).
cnf(c_0_1072,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X1),v_sko__List__Xset__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_744]) ).
cnf(c_0_1073,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X1),v_sko__List__Xtake__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_745]) ).
cnf(c_0_1074,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X1),v_sko__List__Xhd__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_746]) ).
cnf(c_0_1075,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X1),v_sko__List__Xconcat__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_747]) ).
cnf(c_0_1076,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X1),v_sko__List__Xfoldl__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_748]) ).
cnf(c_0_1077,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X1),v_sko__List__Xrev__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_749]) ).
cnf(c_0_1078,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X1),v_sko__List__Xdrop__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_750]) ).
cnf(c_0_1079,plain,
( c_List_Odistinct(c_List_Olinorder__class_Osort__key(X3,X1,X2,X4),X2)
| ~ c_List_Odistinct(X1,X2)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_751]) ).
cnf(c_0_1080,plain,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_752]) ).
cnf(c_0_1081,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_753]) ).
cnf(c_0_1082,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_754]) ).
cnf(c_0_1083,plain,
( c_List_Olistsp(X1,X2,X3)
| ~ hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_755]) ).
cnf(c_0_1084,plain,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_756]) ).
cnf(c_0_1085,plain,
c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_757]) ).
cnf(c_0_1086,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_758]) ).
cnf(c_0_1087,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X3) != c_List_Omap(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_759]) ).
cnf(c_0_1088,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4) ),
inference(split_conjunct,[status(thm)],[c_0_760]) ).
cnf(c_0_1089,plain,
~ c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2),
inference(split_conjunct,[status(thm)],[c_0_761]) ).
cnf(c_0_1090,plain,
~ c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3),
inference(split_conjunct,[status(thm)],[c_0_762]) ).
cnf(c_0_1091,plain,
( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_763]) ).
cnf(c_0_1092,plain,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_764]) ).
cnf(c_0_1093,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,X3,X4)
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_765]) ).
cnf(c_0_1094,plain,
( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_766]) ).
cnf(c_0_1095,plain,
( c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_767]) ).
cnf(c_0_1096,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_768]) ).
cnf(c_0_1097,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_769]) ).
cnf(c_0_1098,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_770]) ).
cnf(c_0_1099,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_771]) ).
cnf(c_0_1100,plain,
c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_772]) ).
cnf(c_0_1101,plain,
( X1 = X2
| c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_773]) ).
cnf(c_0_1102,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_774]) ).
cnf(c_0_1103,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_775]) ).
cnf(c_0_1104,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_776]) ).
cnf(c_0_1105,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_777]) ).
cnf(c_0_1106,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_778]) ).
cnf(c_0_1107,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_779]) ).
cnf(c_0_1108,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_780]) ).
cnf(c_0_1109,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_781]) ).
cnf(c_0_1110,plain,
c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_782]) ).
cnf(c_0_1111,plain,
( X1 = X2
| c_List_Omember(X1,X3,X4)
| ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_783]) ).
cnf(c_0_1112,plain,
( c_List_Olistsp(X1,X2,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_784]) ).
cnf(c_0_1113,plain,
( c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_785]) ).
cnf(c_0_1114,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_786]) ).
cnf(c_0_1115,plain,
( c_List_Olist__all(X1,X2,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_787]) ).
cnf(c_0_1116,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_788]) ).
cnf(c_0_1117,plain,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_789]) ).
cnf(c_0_1118,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_790]) ).
cnf(c_0_1119,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Otake(c_Suc(X3),X1,X2) = c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otake(X3,c_List_Otl(X1,X2),X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_791]) ).
cnf(c_0_1120,plain,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_792]) ).
cnf(c_0_1121,plain,
c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_793]) ).
cnf(c_0_1122,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_794]) ).
cnf(c_0_1123,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) = c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_795]) ).
cnf(c_0_1124,plain,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_796]) ).
cnf(c_0_1125,plain,
( c_List_Olinorder__class_Osort__key(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_797]) ).
cnf(c_0_1126,plain,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_798]) ).
cnf(c_0_1127,plain,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_799]) ).
cnf(c_0_1128,plain,
c_List_Olist_ONil(X1) = c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1),
inference(split_conjunct,[status(thm)],[c_0_800]) ).
cnf(c_0_1129,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_801]) ).
cnf(c_0_1130,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_802]) ).
cnf(c_0_1131,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_803]) ).
cnf(c_0_1132,plain,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_804]) ).
cnf(c_0_1133,plain,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_805]) ).
cnf(c_0_1134,plain,
c_List_Oconcat__map(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_806]) ).
cnf(c_0_1135,plain,
( hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinduct__2(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_807]) ).
cnf(c_0_1136,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_808]) ).
cnf(c_0_1137,plain,
( hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinducts__2(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_809]) ).
cnf(c_0_1138,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_810]) ).
cnf(c_0_1139,plain,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a)
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_811]) ).
cnf(c_0_1140,plain,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a)
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_812]) ).
cnf(c_0_1141,plain,
( c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Omember(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_813]) ).
cnf(c_0_1142,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Olist__ex(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_814]) ).
cnf(c_0_1143,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_815]) ).
cnf(c_0_1144,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_816]) ).
cnf(c_0_1145,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_817]) ).
cnf(c_0_1146,plain,
c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_818]) ).
cnf(c_0_1147,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_819]) ).
cnf(c_0_1148,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_820]) ).
cnf(c_0_1149,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_821]) ).
cnf(c_0_1150,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_822]) ).
cnf(c_0_1151,plain,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_823]) ).
cnf(c_0_1152,plain,
c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_824]) ).
cnf(c_0_1153,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_825]) ).
cnf(c_0_1154,plain,
c_List_Otake(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Otake(c_Suc(X1),X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_826]) ).
cnf(c_0_1155,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_827]) ).
cnf(c_0_1156,plain,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_828]) ).
cnf(c_0_1157,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_829]) ).
cnf(c_0_1158,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_830]) ).
cnf(c_0_1159,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Otl(c_List_Oappend(X1,X3,X2),X2) = c_List_Oappend(c_List_Otl(X1,X2),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_831]) ).
cnf(c_0_1160,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_832]) ).
cnf(c_0_1161,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_833]) ).
cnf(c_0_1162,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_834]) ).
cnf(c_0_1163,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_835]) ).
cnf(c_0_1164,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_836]) ).
cnf(c_0_1165,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_837]) ).
cnf(c_0_1166,plain,
c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_838]) ).
cnf(c_0_1167,plain,
c_List_Orev(c_List_Ofilter(X1,X2,X3),X3) = c_List_Ofilter(X1,c_List_Orev(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_839]) ).
cnf(c_0_1168,plain,
c_List_Otl(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_840]) ).
cnf(c_0_1169,plain,
c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3) = c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_841]) ).
cnf(c_0_1170,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_842]) ).
cnf(c_0_1171,plain,
( X2 = c_List_Olist_ONil(t_a)
| X2 = c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X2),v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(split_conjunct,[status(thm)],[c_0_843]) ).
cnf(c_0_1172,plain,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
inference(split_conjunct,[status(thm)],[c_0_844]) ).
cnf(c_0_1173,plain,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_845]) ).
cnf(c_0_1174,plain,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_846]) ).
cnf(c_0_1175,plain,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Orev(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_847]) ).
cnf(c_0_1176,plain,
c_List_Orotate(c_Suc(X1),X2,X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_848]) ).
cnf(c_0_1177,plain,
( hBOOL(hAPP(X1,c_List_Osko__List__Xrev__induct__1__2(X1,X2)))
| hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_849]) ).
cnf(c_0_1178,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_850]) ).
cnf(c_0_1179,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_851]) ).
cnf(c_0_1180,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_852]) ).
cnf(c_0_1181,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_853]) ).
cnf(c_0_1182,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_854]) ).
cnf(c_0_1183,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_855]) ).
cnf(c_0_1184,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_856]) ).
cnf(c_0_1185,plain,
( X2 = c_List_Olist_ONil(t_a)
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X2)))
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(split_conjunct,[status(thm)],[c_0_857]) ).
cnf(c_0_1186,plain,
( c_List_Olist__all(X1,c_List_Orev(X2,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_858]) ).
cnf(c_0_1187,plain,
( X2 = c_List_Olist_ONil(t_a)
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(split_conjunct,[status(thm)],[c_0_859]) ).
cnf(c_0_1188,plain,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_860]) ).
cnf(c_0_1189,plain,
c_List_Omember(X1,c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_861]) ).
cnf(c_0_1190,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_862]) ).
cnf(c_0_1191,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_863]) ).
cnf(c_0_1192,plain,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_864]) ).
cnf(c_0_1193,plain,
( c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_865]) ).
cnf(c_0_1194,plain,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_866]) ).
cnf(c_0_1195,plain,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_867]) ).
cnf(c_0_1196,plain,
( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_868]) ).
cnf(c_0_1197,plain,
( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_869]) ).
cnf(c_0_1198,plain,
( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_870]) ).
cnf(c_0_1199,plain,
( c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_871]) ).
cnf(c_0_1200,plain,
( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_872]) ).
cnf(c_0_1201,plain,
( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_873]) ).
cnf(c_0_1202,plain,
( c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_874]) ).
cnf(c_0_1203,plain,
c_List_Odrop(c_Suc(X1),X2,X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_875]) ).
cnf(c_0_1204,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_876]) ).
cnf(c_0_1205,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_877]) ).
cnf(c_0_1206,plain,
( hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_878]) ).
cnf(c_0_1207,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_879]) ).
cnf(c_0_1208,plain,
( hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_880]) ).
cnf(c_0_1209,plain,
( hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_881]) ).
cnf(c_0_1210,plain,
( hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_882]) ).
cnf(c_0_1211,plain,
( hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_883]) ).
cnf(c_0_1212,plain,
( hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_884]) ).
cnf(c_0_1213,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_885]) ).
cnf(c_0_1214,plain,
( hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_886]) ).
cnf(c_0_1215,plain,
( hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_887]) ).
cnf(c_0_1216,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_888]) ).
cnf(c_0_1217,plain,
( hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_889]) ).
cnf(c_0_1218,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_890]) ).
cnf(c_0_1219,plain,
( hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_891]) ).
cnf(c_0_1220,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_892]) ).
cnf(c_0_1221,plain,
( hBOOL(hAPP(X1,v_sko__List__Xdrop__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_893]) ).
cnf(c_0_1222,plain,
( hBOOL(hAPP(X1,v_sko__List__Xremdups__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_894]) ).
cnf(c_0_1223,plain,
( hBOOL(hAPP(X1,v_sko__List__Xhd__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_895]) ).
cnf(c_0_1224,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinducts__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_896]) ).
cnf(c_0_1225,plain,
( hBOOL(hAPP(X1,v_sko__List__Xtl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_1226,plain,
( hBOOL(hAPP(X1,v_sko__List__Xset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_898]) ).
cnf(c_0_1227,plain,
( hBOOL(hAPP(X1,v_sko__List__Xsplice__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_899]) ).
cnf(c_0_1228,plain,
( hBOOL(hAPP(X1,v_sko__List__Xrev__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_900]) ).
cnf(c_0_1229,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_901]) ).
cnf(c_0_1230,plain,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_902]) ).
cnf(c_0_1231,plain,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_903]) ).
cnf(c_0_1232,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_904]) ).
cnf(c_0_1233,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_905]) ).
cnf(c_0_1234,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_906]) ).
cnf(c_0_1235,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_907]) ).
cnf(c_0_1236,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_908]) ).
cnf(c_0_1237,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_909]) ).
cnf(c_0_1238,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_910]) ).
cnf(c_0_1239,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_911]) ).
cnf(c_0_1240,plain,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_912]) ).
cnf(c_0_1241,plain,
~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_913]) ).
cnf(c_0_1242,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_914]) ).
cnf(c_0_1243,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_915]) ).
cnf(c_0_1244,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_916]) ).
cnf(c_0_1245,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_917]) ).
cnf(c_0_1246,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_918]) ).
cnf(c_0_1247,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_919]) ).
cnf(c_0_1248,plain,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_920]) ).
cnf(c_0_1249,plain,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(split_conjunct,[status(thm)],[c_0_921]) ).
cnf(c_0_1250,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(split_conjunct,[status(thm)],[c_0_922]) ).
cnf(c_0_1251,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_923]) ).
cnf(c_0_1252,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(split_conjunct,[status(thm)],[c_0_924]) ).
cnf(c_0_1253,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_925]) ).
cnf(c_0_1254,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_926]) ).
cnf(c_0_1255,plain,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_927]) ).
cnf(c_0_1256,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_928]) ).
cnf(c_0_1257,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_929]) ).
cnf(c_0_1258,plain,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_930]) ).
cnf(c_0_1259,plain,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_931]) ).
cnf(c_0_1260,plain,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_932]) ).
cnf(c_0_1261,plain,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_933]) ).
cnf(c_0_1262,plain,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_934]) ).
cnf(c_0_1263,plain,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_935]) ).
cnf(c_0_1264,plain,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_936]) ).
cnf(c_0_1265,plain,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_937]) ).
cnf(c_0_1266,plain,
( c_List_Odistinct(c_List_Orev(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_938]) ).
cnf(c_0_1267,plain,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_939]) ).
cnf(c_0_1268,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_940]) ).
cnf(c_0_1269,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_941]) ).
cnf(c_0_1270,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_942]) ).
cnf(c_0_1271,plain,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_943]) ).
cnf(c_0_1272,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_944]) ).
cnf(c_0_1273,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_945]) ).
cnf(c_0_1274,plain,
c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_946]) ).
cnf(c_0_1275,plain,
c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_947]) ).
cnf(c_0_1276,plain,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_948]) ).
cnf(c_0_1277,plain,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_949]) ).
cnf(c_0_1278,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_950]) ).
cnf(c_0_1279,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_951]) ).
cnf(c_0_1280,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_952]) ).
cnf(c_0_1281,plain,
X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_953]) ).
cnf(c_0_1282,plain,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_954]) ).
cnf(c_0_1283,plain,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_955]) ).
cnf(c_0_1284,plain,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_956]) ).
cnf(c_0_1285,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_957]) ).
cnf(c_0_1286,plain,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_958]) ).
cnf(c_0_1287,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_959]) ).
cnf(c_0_1288,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oremdups(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_960]) ).
cnf(c_0_1289,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_961]) ).
cnf(c_0_1290,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Orev(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_962]) ).
cnf(c_0_1291,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_963]) ).
cnf(c_0_1292,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_964]) ).
cnf(c_0_1293,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_965]) ).
cnf(c_0_1294,plain,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_966]) ).
cnf(c_0_1295,plain,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_967]) ).
cnf(c_0_1296,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_968]) ).
cnf(c_0_1297,plain,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_969]) ).
cnf(c_0_1298,plain,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_970]) ).
cnf(c_0_1299,plain,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_971]) ).
cnf(c_0_1300,plain,
c_List_Onull(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_972]) ).
cnf(c_0_1301,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_973]) ).
cnf(c_0_1302,plain,
( X1 = X2
| c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_974]) ).
cnf(c_0_1303,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_975]) ).
cnf(c_0_1304,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_976]) ).
cnf(c_0_1305,plain,
c_Suc(X1) != X1,
inference(split_conjunct,[status(thm)],[c_0_977]) ).
cnf(c_0_1306,plain,
X1 != c_Suc(X1),
inference(split_conjunct,[status(thm)],[c_0_978]) ).
cnf(c_0_1307,plain,
class_Lattices_Olattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_979]) ).
cnf(c_0_1308,plain,
class_Lattices_Olower__semilattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_980]) ).
cnf(c_0_1309,plain,
class_Lattices_Olattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_981]) ).
cnf(c_0_1310,plain,
class_Orderings_Olinorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_982]) ).
cnf(c_0_1311,plain,
class_Lattices_Olower__semilattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_983]) ).
cnf(c_0_1312,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
c_0_984,
[final] ).
cnf(c_0_1313,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
c_0_985,
[final] ).
cnf(c_0_1314,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b))) ),
c_0_986,
[final] ).
cnf(c_0_1315,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
c_0_987,
[final] ).
cnf(c_0_1316,plain,
c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6) = c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6),
c_0_988,
[final] ).
cnf(c_0_1317,plain,
c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5) = c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5),
c_0_989,
[final] ).
cnf(c_0_1318,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(hAPP(X2,X3),X4),c_List_Olist_Olist__rec(X1,X2,X4,X6,X5)),
c_0_990,
[final] ).
cnf(c_0_1319,plain,
c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6) = hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)),
c_0_991,
[final] ).
cnf(c_0_1320,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_992,
[final] ).
cnf(c_0_1321,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_993,
[final] ).
cnf(c_0_1322,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_994,
[final] ).
cnf(c_0_1323,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
c_0_995,
[final] ).
cnf(c_0_1324,plain,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_996,
[final] ).
cnf(c_0_1325,plain,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_997,
[final] ).
cnf(c_0_1326,plain,
( c_List_Olist__all2(X1,X2,X4,X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5) ),
c_0_998,
[final] ).
cnf(c_0_1327,plain,
( c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5) ),
c_0_999,
[final] ).
cnf(c_0_1328,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4) ),
c_0_1000,
[final] ).
cnf(c_0_1329,plain,
( c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_1001,
[final] ).
cnf(c_0_1330,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_1002,
[final] ).
cnf(c_0_1331,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
c_0_1003,
[final] ).
cnf(c_0_1332,plain,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
c_0_1004,
[final] ).
cnf(c_0_1333,plain,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
c_0_1005,
[final] ).
cnf(c_0_1334,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
c_0_1006,
[final] ).
cnf(c_0_1335,plain,
( c_ListOrder_Ostep1(X1,X2,X5,X4)
| hBOOL(hAPP(hAPP(X1,X3),X6))
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
c_0_1007,
[final] ).
cnf(c_0_1336,plain,
( c_ListOrder_Ostep1(X1,X2,X5,X4)
| X2 = X5
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
c_0_1008,
[final] ).
cnf(c_0_1337,plain,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2)))
| ~ hBOOL(hAPP(X1,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X1,X2),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X1,X2),c_List_Olist_ONil(X2),X2),X2))) ),
c_0_1009,
[final] ).
cnf(c_0_1338,plain,
( X3 = X6
| hBOOL(hAPP(hAPP(X1,X3),X6))
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
c_0_1010,
[final] ).
cnf(c_0_1339,plain,
c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6) = c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6),
c_0_1011,
[final] ).
cnf(c_0_1340,plain,
( c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1012,
[final] ).
cnf(c_0_1341,plain,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
c_0_1013,
[final] ).
cnf(c_0_1342,plain,
( X3 = X6
| X2 = X5
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
c_0_1014,
[final] ).
cnf(c_0_1343,plain,
c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5),
c_0_1015,
[final] ).
cnf(c_0_1344,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
c_0_1016,
[final] ).
cnf(c_0_1345,plain,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
c_0_1017,
[final] ).
cnf(c_0_1346,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1018,
[final] ).
cnf(c_0_1347,plain,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
c_0_1019,
[final] ).
cnf(c_0_1348,plain,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1020,
[final] ).
cnf(c_0_1349,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1021,
[final] ).
cnf(c_0_1350,plain,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
c_0_1022,
[final] ).
cnf(c_0_1351,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
c_0_1023,
[final] ).
cnf(c_0_1352,plain,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
c_0_1024,
[final] ).
cnf(c_0_1353,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
c_0_1025,
[final] ).
cnf(c_0_1354,plain,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
c_0_1026,
[final] ).
cnf(c_0_1355,plain,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
c_0_1027,
[final] ).
cnf(c_0_1356,plain,
( X6 = X3
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
c_0_1028,
[final] ).
cnf(c_0_1357,plain,
c_List_Oconcat__map(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Oappend(hAPP(X1,X2),c_List_Oconcat__map(X1,X3,X4,X5),X5),
c_0_1029,
[final] ).
cnf(c_0_1358,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
c_0_1030,
[final] ).
cnf(c_0_1359,plain,
c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5),
c_0_1031,
[final] ).
cnf(c_0_1360,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
c_0_1032,
[final] ).
cnf(c_0_1361,plain,
c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X5,X3) = c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3),
c_0_1033,
[final] ).
cnf(c_0_1362,plain,
c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5),
c_0_1034,
[final] ).
cnf(c_0_1363,plain,
c_List_Orotate(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Orotate(X1,X3,X4),X4,X5),
c_0_1035,
[final] ).
cnf(c_0_1364,plain,
c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5),
c_0_1036,
[final] ).
cnf(c_0_1365,plain,
( hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X3),v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a))) ),
c_0_1037,
[final] ).
cnf(c_0_1366,plain,
( hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X3),v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a))) ),
c_0_1038,
[final] ).
cnf(c_0_1367,plain,
( c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))) ),
c_0_1039,
[final] ).
cnf(c_0_1368,plain,
( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
c_0_1040,
[final] ).
cnf(c_0_1369,plain,
( c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X5,X4) ),
c_0_1041,
[final] ).
cnf(c_0_1370,plain,
( c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
c_0_1042,
[final] ).
cnf(c_0_1371,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1043,
[final] ).
cnf(c_0_1372,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
c_0_1044,
[final] ).
cnf(c_0_1373,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| X5 = X2
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
c_0_1045,
[final] ).
cnf(c_0_1374,plain,
c_List_Orev(c_List_Omap(X1,X2,X3,X4),X4) = c_List_Omap(X1,c_List_Orev(X2,X3),X3,X4),
c_0_1046,
[final] ).
cnf(c_0_1375,plain,
( X6 = X3
| X5 = X2
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
c_0_1047,
[final] ).
cnf(c_0_1376,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Osplice(X4,c_List_Otl(X1,X2),X2),X2),X2) = c_List_Osplice(c_List_Olist_OCons(X3,X4,X2),X1,X2) ),
c_0_1048,
[final] ).
cnf(c_0_1377,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1049,
[final] ).
cnf(c_0_1378,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
c_0_1050,
[final] ).
cnf(c_0_1379,plain,
( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
c_0_1051,
[final] ).
cnf(c_0_1380,plain,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
c_0_1052,
[final] ).
cnf(c_0_1381,plain,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
c_0_1053,
[final] ).
cnf(c_0_1382,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1054,
[final] ).
cnf(c_0_1383,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1055,
[final] ).
cnf(c_0_1384,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X1),v_sko__List__Xtl__Xinduct__2(X1),t_a))) ),
c_0_1056,
[final] ).
cnf(c_0_1385,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
c_0_1057,
[final] ).
cnf(c_0_1386,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
c_0_1058,
[final] ).
cnf(c_0_1387,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
c_0_1059,
[final] ).
cnf(c_0_1388,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X1),v_sko__List__Xsplice__Xinduct__2(X1),t_a))) ),
c_0_1060,
[final] ).
cnf(c_0_1389,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
c_0_1061,
[final] ).
cnf(c_0_1390,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
c_0_1062,
[final] ).
cnf(c_0_1391,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
c_0_1063,
[final] ).
cnf(c_0_1392,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
c_0_1064,
[final] ).
cnf(c_0_1393,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
c_0_1065,
[final] ).
cnf(c_0_1394,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
c_0_1066,
[final] ).
cnf(c_0_1395,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X1),v_sko__List__Xremdups__Xinduct__2(X1),t_a))) ),
c_0_1067,
[final] ).
cnf(c_0_1396,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
c_0_1068,
[final] ).
cnf(c_0_1397,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
c_0_1069,
[final] ).
cnf(c_0_1398,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X1),v_sko__List__Xlist__Xinducts__2(X1),t_a))) ),
c_0_1070,
[final] ).
cnf(c_0_1399,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X1),v_sko__List__Xmap__Xinduct__2(X1),t_a))) ),
c_0_1071,
[final] ).
cnf(c_0_1400,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X1),v_sko__List__Xset__Xinduct__2(X1),t_a))) ),
c_0_1072,
[final] ).
cnf(c_0_1401,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X1),v_sko__List__Xtake__Xinduct__2(X1),t_a))) ),
c_0_1073,
[final] ).
cnf(c_0_1402,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X1),v_sko__List__Xhd__Xinduct__2(X1),t_a))) ),
c_0_1074,
[final] ).
cnf(c_0_1403,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X1),v_sko__List__Xconcat__Xinduct__2(X1),t_a))) ),
c_0_1075,
[final] ).
cnf(c_0_1404,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X1),v_sko__List__Xfoldl__Xinduct__2(X1),t_a))) ),
c_0_1076,
[final] ).
cnf(c_0_1405,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X1),v_sko__List__Xrev__Xinduct__2(X1),t_a))) ),
c_0_1077,
[final] ).
cnf(c_0_1406,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X1),v_sko__List__Xdrop__Xinduct__2(X1),t_a))) ),
c_0_1078,
[final] ).
cnf(c_0_1407,plain,
( c_List_Odistinct(c_List_Olinorder__class_Osort__key(X3,X1,X2,X4),X2)
| ~ c_List_Odistinct(X1,X2)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1079,
[final] ).
cnf(c_0_1408,plain,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
c_0_1080,
[final] ).
cnf(c_0_1409,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
c_0_1081,
[final] ).
cnf(c_0_1410,plain,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_1082,
[final] ).
cnf(c_0_1411,plain,
( c_List_Olistsp(X1,X2,X3)
| ~ hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3))) ),
c_0_1083,
[final] ).
cnf(c_0_1412,plain,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2)) ),
c_0_1084,
[final] ).
cnf(c_0_1413,plain,
c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1085,
[final] ).
cnf(c_0_1414,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
c_0_1086,
[final] ).
cnf(c_0_1415,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X4,X1,X2,X3) != c_List_Olist_ONil(X3) ),
c_0_1087,
[final] ).
cnf(c_0_1416,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4) ),
c_0_1088,
[final] ).
cnf(c_0_1417,plain,
~ c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2),
c_0_1089,
[final] ).
cnf(c_0_1418,plain,
~ c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3),
c_0_1090,
[final] ).
cnf(c_0_1419,plain,
( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X4,X2,X3) ),
c_0_1091,
[final] ).
cnf(c_0_1420,plain,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1092,
[final] ).
cnf(c_0_1421,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,X3,X4)
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1093,
[final] ).
cnf(c_0_1422,plain,
( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
c_0_1094,
[final] ).
cnf(c_0_1423,plain,
( c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
c_0_1095,
[final] ).
cnf(c_0_1424,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_1096,
[final] ).
cnf(c_0_1425,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_1097,
[final] ).
cnf(c_0_1426,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_1098,
[final] ).
cnf(c_0_1427,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_1099,
[final] ).
cnf(c_0_1428,plain,
c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
c_0_1100,
[final] ).
cnf(c_0_1429,plain,
( X1 = X2
| c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
c_0_1101,
[final] ).
cnf(c_0_1430,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1102,
[final] ).
cnf(c_0_1431,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1103,
[final] ).
cnf(c_0_1432,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1104,
[final] ).
cnf(c_0_1433,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1105,
[final] ).
cnf(c_0_1434,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1106,
[final] ).
cnf(c_0_1435,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1107,
[final] ).
cnf(c_0_1436,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1108,
[final] ).
cnf(c_0_1437,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1109,
[final] ).
cnf(c_0_1438,plain,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1110,
[final] ).
cnf(c_0_1439,plain,
( X1 = X2
| c_List_Omember(X1,X3,X4)
| ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1111,
[final] ).
cnf(c_0_1440,plain,
( c_List_Olistsp(X1,X2,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1112,
[final] ).
cnf(c_0_1441,plain,
( c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1113,
[final] ).
cnf(c_0_1442,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1114,
[final] ).
cnf(c_0_1443,plain,
( c_List_Olist__all(X1,X2,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1115,
[final] ).
cnf(c_0_1444,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1116,
[final] ).
cnf(c_0_1445,plain,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
c_0_1117,
[final] ).
cnf(c_0_1446,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
c_0_1118,
[final] ).
cnf(c_0_1447,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otake(X3,c_List_Otl(X1,X2),X2),X2) = c_List_Otake(c_Suc(X3),X1,X2) ),
c_0_1119,
[final] ).
cnf(c_0_1448,plain,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,X3,X4) ),
c_0_1120,
[final] ).
cnf(c_0_1449,plain,
c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1121,
[final] ).
cnf(c_0_1450,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1122,
[final] ).
cnf(c_0_1451,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Orotate1(X1,X2) ),
c_0_1123,
[final] ).
cnf(c_0_1452,plain,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
c_0_1124,
[final] ).
cnf(c_0_1453,plain,
( c_List_Olinorder__class_Osort__key(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X2)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1125,
[final] ).
cnf(c_0_1454,plain,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1126,
[final] ).
cnf(c_0_1455,plain,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
c_0_1127,
[final] ).
cnf(c_0_1456,plain,
c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1) = c_List_Olist_ONil(X1),
c_0_1128,
[final] ).
cnf(c_0_1457,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
c_0_1129,
[final] ).
cnf(c_0_1458,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
c_0_1130,
[final] ).
cnf(c_0_1459,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
c_0_1131,
[final] ).
cnf(c_0_1460,plain,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
c_0_1132,
[final] ).
cnf(c_0_1461,plain,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
c_0_1133,
[final] ).
cnf(c_0_1462,plain,
c_List_Oconcat__map(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
c_0_1134,
[final] ).
cnf(c_0_1463,plain,
( hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinduct__2(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
c_0_1135,
[final] ).
cnf(c_0_1464,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
c_0_1136,
[final] ).
cnf(c_0_1465,plain,
( hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinducts__2(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
c_0_1137,
[final] ).
cnf(c_0_1466,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
c_0_1138,
[final] ).
cnf(c_0_1467,plain,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a)
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
c_0_1139,
[final] ).
cnf(c_0_1468,plain,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a)
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
c_0_1140,
[final] ).
cnf(c_0_1469,plain,
( c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Omember(X1,X2,X3) ),
c_0_1141,
[final] ).
cnf(c_0_1470,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Olist__ex(X1,X2,X3) ),
c_0_1142,
[final] ).
cnf(c_0_1471,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
c_0_1143,
[final] ).
cnf(c_0_1472,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
c_0_1144,
[final] ).
cnf(c_0_1473,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
c_0_1145,
[final] ).
cnf(c_0_1474,plain,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3) = c_List_Orev(c_List_Oappend(X1,X2,X3),X3),
c_0_1146,
[final] ).
cnf(c_0_1475,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_1147,
[final] ).
cnf(c_0_1476,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_1148,
[final] ).
cnf(c_0_1477,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
c_0_1149,
[final] ).
cnf(c_0_1478,plain,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
c_0_1150,
[final] ).
cnf(c_0_1479,plain,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
c_0_1151,
[final] ).
cnf(c_0_1480,plain,
c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
c_0_1152,
[final] ).
cnf(c_0_1481,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1153,
[final] ).
cnf(c_0_1482,plain,
c_List_Otl(c_List_Otake(c_Suc(X1),X2,X3),X3) = c_List_Otake(X1,c_List_Otl(X2,X3),X3),
c_0_1154,
[final] ).
cnf(c_0_1483,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1155,
[final] ).
cnf(c_0_1484,plain,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1156,
[final] ).
cnf(c_0_1485,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1157,
[final] ).
cnf(c_0_1486,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1158,
[final] ).
cnf(c_0_1487,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2) ),
c_0_1159,
[final] ).
cnf(c_0_1488,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
c_0_1160,
[final] ).
cnf(c_0_1489,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_1161,
[final] ).
cnf(c_0_1490,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_1162,
[final] ).
cnf(c_0_1491,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
c_0_1163,
[final] ).
cnf(c_0_1492,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1164,
[final] ).
cnf(c_0_1493,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
c_0_1165,
[final] ).
cnf(c_0_1494,plain,
c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
c_0_1166,
[final] ).
cnf(c_0_1495,plain,
c_List_Ofilter(X1,c_List_Orev(X2,X3),X3) = c_List_Orev(c_List_Ofilter(X1,X2,X3),X3),
c_0_1167,
[final] ).
cnf(c_0_1496,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
c_0_1168,
[final] ).
cnf(c_0_1497,plain,
c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3),
c_0_1169,
[final] ).
cnf(c_0_1498,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
c_0_1170,
[final] ).
cnf(c_0_1499,plain,
( X2 = c_List_Olist_ONil(t_a)
| c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X2),v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a) = X2
| ~ c_List_Olistsp(X1,X2,t_a) ),
c_0_1171,
[final] ).
cnf(c_0_1500,plain,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
c_0_1172,
[final] ).
cnf(c_0_1501,plain,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
c_0_1173,
[final] ).
cnf(c_0_1502,plain,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1174,
[final] ).
cnf(c_0_1503,plain,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Orev(X2,X3),X3) ),
c_0_1175,
[final] ).
cnf(c_0_1504,plain,
c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(c_Suc(X1),X2,X3),
c_0_1176,
[final] ).
cnf(c_0_1505,plain,
( hBOOL(hAPP(X1,c_List_Osko__List__Xrev__induct__1__2(X1,X2)))
| hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2))) ),
c_0_1177,
[final] ).
cnf(c_0_1506,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
c_0_1178,
[final] ).
cnf(c_0_1507,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
c_0_1179,
[final] ).
cnf(c_0_1508,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_1180,
[final] ).
cnf(c_0_1509,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1181,
[final] ).
cnf(c_0_1510,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
c_0_1182,
[final] ).
cnf(c_0_1511,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
c_0_1183,
[final] ).
cnf(c_0_1512,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
c_0_1184,
[final] ).
cnf(c_0_1513,plain,
( X2 = c_List_Olist_ONil(t_a)
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X2)))
| ~ c_List_Olistsp(X1,X2,t_a) ),
c_0_1185,
[final] ).
cnf(c_0_1514,plain,
( c_List_Olist__all(X1,c_List_Orev(X2,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3) ),
c_0_1186,
[final] ).
cnf(c_0_1515,plain,
( X2 = c_List_Olist_ONil(t_a)
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
c_0_1187,
[final] ).
cnf(c_0_1516,plain,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
c_0_1188,
[final] ).
cnf(c_0_1517,plain,
c_List_Omember(X1,c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1189,
[final] ).
cnf(c_0_1518,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
c_0_1190,
[final] ).
cnf(c_0_1519,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1191,
[final] ).
cnf(c_0_1520,plain,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1192,
[final] ).
cnf(c_0_1521,plain,
( c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1193,
[final] ).
cnf(c_0_1522,plain,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1194,
[final] ).
cnf(c_0_1523,plain,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
c_0_1195,
[final] ).
cnf(c_0_1524,plain,
( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1196,
[final] ).
cnf(c_0_1525,plain,
( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1197,
[final] ).
cnf(c_0_1526,plain,
( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1198,
[final] ).
cnf(c_0_1527,plain,
( c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1199,
[final] ).
cnf(c_0_1528,plain,
( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1200,
[final] ).
cnf(c_0_1529,plain,
( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1201,
[final] ).
cnf(c_0_1530,plain,
( c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1202,
[final] ).
cnf(c_0_1531,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Odrop(c_Suc(X1),X2,X3),
c_0_1203,
[final] ).
cnf(c_0_1532,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1204,
[final] ).
cnf(c_0_1533,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2) ),
c_0_1205,
[final] ).
cnf(c_0_1534,plain,
( hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1206,
[final] ).
cnf(c_0_1535,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1207,
[final] ).
cnf(c_0_1536,plain,
( hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1208,
[final] ).
cnf(c_0_1537,plain,
( hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1209,
[final] ).
cnf(c_0_1538,plain,
( hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1210,
[final] ).
cnf(c_0_1539,plain,
( hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1211,
[final] ).
cnf(c_0_1540,plain,
( hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1212,
[final] ).
cnf(c_0_1541,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1213,
[final] ).
cnf(c_0_1542,plain,
( hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1214,
[final] ).
cnf(c_0_1543,plain,
( hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1215,
[final] ).
cnf(c_0_1544,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1216,
[final] ).
cnf(c_0_1545,plain,
( hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1217,
[final] ).
cnf(c_0_1546,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1218,
[final] ).
cnf(c_0_1547,plain,
( hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1219,
[final] ).
cnf(c_0_1548,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1220,
[final] ).
cnf(c_0_1549,plain,
( hBOOL(hAPP(X1,v_sko__List__Xdrop__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1221,
[final] ).
cnf(c_0_1550,plain,
( hBOOL(hAPP(X1,v_sko__List__Xremdups__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1222,
[final] ).
cnf(c_0_1551,plain,
( hBOOL(hAPP(X1,v_sko__List__Xhd__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1223,
[final] ).
cnf(c_0_1552,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinducts__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1224,
[final] ).
cnf(c_0_1553,plain,
( hBOOL(hAPP(X1,v_sko__List__Xtl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1225,
[final] ).
cnf(c_0_1554,plain,
( hBOOL(hAPP(X1,v_sko__List__Xset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1226,
[final] ).
cnf(c_0_1555,plain,
( hBOOL(hAPP(X1,v_sko__List__Xsplice__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1227,
[final] ).
cnf(c_0_1556,plain,
( hBOOL(hAPP(X1,v_sko__List__Xrev__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1228,
[final] ).
cnf(c_0_1557,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X1,X2)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_1229,
[final] ).
cnf(c_0_1558,plain,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
c_0_1230,
[final] ).
cnf(c_0_1559,plain,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
c_0_1231,
[final] ).
cnf(c_0_1560,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_1232,
[final] ).
cnf(c_0_1561,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_1233,
[final] ).
cnf(c_0_1562,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
c_0_1234,
[final] ).
cnf(c_0_1563,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1235,
[final] ).
cnf(c_0_1564,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1236,
[final] ).
cnf(c_0_1565,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1237,
[final] ).
cnf(c_0_1566,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1238,
[final] ).
cnf(c_0_1567,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1239,
[final] ).
cnf(c_0_1568,plain,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
c_0_1240,
[final] ).
cnf(c_0_1569,plain,
~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
c_0_1241,
[final] ).
cnf(c_0_1570,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_1242,
[final] ).
cnf(c_0_1571,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_1243,
[final] ).
cnf(c_0_1572,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_1244,
[final] ).
cnf(c_0_1573,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_1245,
[final] ).
cnf(c_0_1574,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_1246,
[final] ).
cnf(c_0_1575,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_1247,
[final] ).
cnf(c_0_1576,plain,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
c_0_1248,
[final] ).
cnf(c_0_1577,plain,
c_List_Olist_OCons(X2,X1,X3) != X1,
c_0_1249,
[final] ).
cnf(c_0_1578,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
c_0_1250,
[final] ).
cnf(c_0_1579,plain,
( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X1)))
| ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
c_0_1251,
[final] ).
cnf(c_0_1580,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
c_0_1252,
[final] ).
cnf(c_0_1581,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
c_0_1253,
[final] ).
cnf(c_0_1582,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
c_0_1254,
[final] ).
cnf(c_0_1583,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1255,
[final] ).
cnf(c_0_1584,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1256,
[final] ).
cnf(c_0_1585,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1257,
[final] ).
cnf(c_0_1586,plain,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1258,
[final] ).
cnf(c_0_1587,plain,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1259,
[final] ).
cnf(c_0_1588,plain,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1260,
[final] ).
cnf(c_0_1589,plain,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
c_0_1261,
[final] ).
cnf(c_0_1590,plain,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1262,
[final] ).
cnf(c_0_1591,plain,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1263,
[final] ).
cnf(c_0_1592,plain,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
c_0_1264,
[final] ).
cnf(c_0_1593,plain,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1265,
[final] ).
cnf(c_0_1594,plain,
( c_List_Odistinct(c_List_Orev(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1266,
[final] ).
cnf(c_0_1595,plain,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1267,
[final] ).
cnf(c_0_1596,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
c_0_1268,
[final] ).
cnf(c_0_1597,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_1269,
[final] ).
cnf(c_0_1598,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_1270,
[final] ).
cnf(c_0_1599,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_1271,
[final] ).
cnf(c_0_1600,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
c_0_1272,
[final] ).
cnf(c_0_1601,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_1273,
[final] ).
cnf(c_0_1602,plain,
c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
c_0_1274,
[final] ).
cnf(c_0_1603,plain,
c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_1275,
[final] ).
cnf(c_0_1604,plain,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
c_0_1276,
[final] ).
cnf(c_0_1605,plain,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
c_0_1277,
[final] ).
cnf(c_0_1606,plain,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
c_0_1278,
[final] ).
cnf(c_0_1607,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
c_0_1279,
[final] ).
cnf(c_0_1608,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
c_0_1280,
[final] ).
cnf(c_0_1609,plain,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
c_0_1281,
[final] ).
cnf(c_0_1610,plain,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
c_0_1282,
[final] ).
cnf(c_0_1611,plain,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
c_0_1283,
[final] ).
cnf(c_0_1612,plain,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
c_0_1284,
[final] ).
cnf(c_0_1613,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_1285,
[final] ).
cnf(c_0_1614,plain,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_1286,
[final] ).
cnf(c_0_1615,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1287,
[final] ).
cnf(c_0_1616,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1288,
[final] ).
cnf(c_0_1617,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1289,
[final] ).
cnf(c_0_1618,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1290,
[final] ).
cnf(c_0_1619,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1291,
[final] ).
cnf(c_0_1620,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
c_0_1292,
[final] ).
cnf(c_0_1621,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_1293,
[final] ).
cnf(c_0_1622,plain,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1294,
[final] ).
cnf(c_0_1623,plain,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1295,
[final] ).
cnf(c_0_1624,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1296,
[final] ).
cnf(c_0_1625,plain,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1297,
[final] ).
cnf(c_0_1626,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1298,
[final] ).
cnf(c_0_1627,plain,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1299,
[final] ).
cnf(c_0_1628,plain,
c_List_Onull(c_List_Olist_ONil(X1),X1),
c_0_1300,
[final] ).
cnf(c_0_1629,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
c_0_1301,
[final] ).
cnf(c_0_1630,plain,
( X1 = X2
| c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
c_0_1302,
[final] ).
cnf(c_0_1631,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_1303,
[final] ).
cnf(c_0_1632,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_1304,
[final] ).
cnf(c_0_1633,plain,
c_Suc(X1) != X1,
c_0_1305,
[final] ).
cnf(c_0_1634,plain,
c_Suc(X1) != X1,
c_0_1306,
[final] ).
cnf(c_0_1635,plain,
class_Lattices_Olattice(tc_bool),
c_0_1307,
[final] ).
cnf(c_0_1636,plain,
class_Lattices_Olower__semilattice(tc_bool),
c_0_1308,
[final] ).
cnf(c_0_1637,plain,
class_Lattices_Olattice(tc_nat),
c_0_1309,
[final] ).
cnf(c_0_1638,plain,
class_Orderings_Olinorder(tc_nat),
c_0_1310,
[final] ).
cnf(c_0_1639,plain,
class_Lattices_Olower__semilattice(tc_nat),
c_0_1311,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1312_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_1312]) ).
cnf(c_0_1312_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b)))
| hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1312]) ).
cnf(c_0_1313_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_1313]) ).
cnf(c_0_1313_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b)))
| hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1313]) ).
cnf(c_0_1314_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_1314]) ).
cnf(c_0_1314_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1314]) ).
cnf(c_0_1315_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1315]) ).
cnf(c_0_1315_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1315]) ).
cnf(c_0_1315_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1315]) ).
cnf(c_0_1320_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1320]) ).
cnf(c_0_1320_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1320]) ).
cnf(c_0_1320_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1320]) ).
cnf(c_0_1321_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1321]) ).
cnf(c_0_1321_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1321]) ).
cnf(c_0_1321_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1321]) ).
cnf(c_0_1322_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1322]) ).
cnf(c_0_1322_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1322]) ).
cnf(c_0_1322_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1322]) ).
cnf(c_0_1323_0,axiom,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1323]) ).
cnf(c_0_1323_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1323]) ).
cnf(c_0_1324_0,axiom,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1324]) ).
cnf(c_0_1324_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1324]) ).
cnf(c_0_1325_0,axiom,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1325]) ).
cnf(c_0_1325_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1325]) ).
cnf(c_0_1326_0,axiom,
( c_List_Olist__all2(X1,X2,X4,X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1326]) ).
cnf(c_0_1326_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5)
| c_List_Olist__all2(X1,X2,X4,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1326]) ).
cnf(c_0_1327_0,axiom,
( c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1327]) ).
cnf(c_0_1327_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5)
| c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1327]) ).
cnf(c_0_1328_0,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1328]) ).
cnf(c_0_1328_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4)
| c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1328]) ).
cnf(c_0_1329_0,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1329]) ).
cnf(c_0_1329_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1329]) ).
cnf(c_0_1331_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1331]) ).
cnf(c_0_1331_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
| hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1331]) ).
cnf(c_0_1332_0,axiom,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1332]) ).
cnf(c_0_1332_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4)
| X3 = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1332]) ).
cnf(c_0_1333_0,axiom,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1333]) ).
cnf(c_0_1333_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3)
| X2 = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1333]) ).
cnf(c_0_1334_0,axiom,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1334_1,axiom,
( ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1334]) ).
cnf(c_0_1335_0,axiom,
( c_ListOrder_Ostep1(X1,X2,X5,X4)
| hBOOL(hAPP(hAPP(X1,X3),X6))
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1335]) ).
cnf(c_0_1335_1,axiom,
( hBOOL(hAPP(hAPP(X1,X3),X6))
| c_ListOrder_Ostep1(X1,X2,X5,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1335]) ).
cnf(c_0_1335_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
| hBOOL(hAPP(hAPP(X1,X3),X6))
| c_ListOrder_Ostep1(X1,X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1335]) ).
cnf(c_0_1336_0,axiom,
( c_ListOrder_Ostep1(X1,X2,X5,X4)
| X2 = X5
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1336]) ).
cnf(c_0_1336_1,axiom,
( X2 = X5
| c_ListOrder_Ostep1(X1,X2,X5,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1336]) ).
cnf(c_0_1336_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
| X2 = X5
| c_ListOrder_Ostep1(X1,X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1336]) ).
cnf(c_0_1337_0,axiom,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2)))
| ~ hBOOL(hAPP(X1,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X1,X2),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X1,X2),c_List_Olist_ONil(X2),X2),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1337]) ).
cnf(c_0_1337_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2)))
| hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X1,X2),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X1,X2),c_List_Olist_ONil(X2),X2),X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1337]) ).
cnf(c_0_1337_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Oappend(c_List_Osko__List__Xrev__induct__1__2(X1,X2),c_List_Olist_OCons(c_List_Osko__List__Xrev__induct__1__1(X1,X2),c_List_Olist_ONil(X2),X2),X2)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2)))
| hBOOL(hAPP(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1337]) ).
cnf(c_0_1338_0,axiom,
( X3 = X6
| hBOOL(hAPP(hAPP(X1,X3),X6))
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1338]) ).
cnf(c_0_1338_1,axiom,
( hBOOL(hAPP(hAPP(X1,X3),X6))
| X3 = X6
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1338]) ).
cnf(c_0_1338_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
| hBOOL(hAPP(hAPP(X1,X3),X6))
| X3 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_1338]) ).
cnf(c_0_1340_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1340]) ).
cnf(c_0_1340_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_List_Olinorder__class_Osorted(c_List_Omap(X1,c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1340]) ).
cnf(c_0_1341_0,axiom,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1341]) ).
cnf(c_0_1341_1,axiom,
( c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1341]) ).
cnf(c_0_1342_0,axiom,
( X3 = X6
| X2 = X5
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1342]) ).
cnf(c_0_1342_1,axiom,
( X2 = X5
| X3 = X6
| ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1342]) ).
cnf(c_0_1342_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X6,c_List_Olist_ONil(X4),X4),X4),X4)
| X2 = X5
| X3 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_1342]) ).
cnf(c_0_1353_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1353_1,axiom,
( c_ListOrder_Ostep1(X1,X3,X6,X4)
| hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1353_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1353]) ).
cnf(c_0_1355_0,axiom,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1355]) ).
cnf(c_0_1355_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1355]) ).
cnf(c_0_1355_2,axiom,
( ~ c_List_Olistrelp(X1,X4,X5,X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6) ),
inference(literals_permutation,[status(thm)],[c_0_1355]) ).
cnf(c_0_1356_0,axiom,
( X6 = X3
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1356]) ).
cnf(c_0_1356_1,axiom,
( c_ListOrder_Ostep1(X1,X3,X6,X4)
| X6 = X3
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1356]) ).
cnf(c_0_1356_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
| c_ListOrder_Ostep1(X1,X3,X6,X4)
| X6 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1356]) ).
cnf(c_0_1365_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X3),v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1365]) ).
cnf(c_0_1365_1,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X3),v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1365]) ).
cnf(c_0_1365_2,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X3),v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1365]) ).
cnf(c_0_1365_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinducts__1(X1,X3),v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1365]) ).
cnf(c_0_1366_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X3),v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1366]) ).
cnf(c_0_1366_1,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X3),v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1366]) ).
cnf(c_0_1366_2,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X3),v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1366]) ).
cnf(c_0_1366_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_OCons(v_sko__List__Xlistsp__Xinduct__1(X1,X3),v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a)))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1366]) ).
cnf(c_0_1367_0,axiom,
( c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1367]) ).
cnf(c_0_1367_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3)))
| c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1367]) ).
cnf(c_0_1368_0,axiom,
( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1368]) ).
cnf(c_0_1368_1,axiom,
( ~ c_ListOrder_Ostep1(X1,X2,X3,X4)
| c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X5,X2,X4),c_List_Olist_OCons(X5,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1368]) ).
cnf(c_0_1369_0,axiom,
( c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1369]) ).
cnf(c_0_1369_1,axiom,
( ~ c_ListOrder_Ostep1(X1,X2,X5,X4)
| c_ListOrder_Ostep1(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1369]) ).
cnf(c_0_1370_0,axiom,
( c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4)
| ~ c_ListOrder_Ostep1(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1370]) ).
cnf(c_0_1370_1,axiom,
( ~ c_ListOrder_Ostep1(X1,X2,X3,X4)
| c_ListOrder_Ostep1(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1370]) ).
cnf(c_0_1371_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1371]) ).
cnf(c_0_1371_1,axiom,
( ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3)
| c_List_Odistinct(X2,X3)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1371]) ).
cnf(c_0_1371_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Odistinct(c_List_Olinorder__class_Osort__key(X1,X2,X3,X4),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1371]) ).
cnf(c_0_1372_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1372]) ).
cnf(c_0_1372_1,axiom,
( ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1372]) ).
cnf(c_0_1373_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| X5 = X2
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1373_1,axiom,
( X5 = X2
| hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1373_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
| X5 = X2
| hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1373]) ).
cnf(c_0_1375_0,axiom,
( X6 = X3
| X5 = X2
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1375]) ).
cnf(c_0_1375_1,axiom,
( X5 = X2
| X6 = X3
| ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1375]) ).
cnf(c_0_1375_2,axiom,
( ~ c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
| X5 = X2
| X6 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1375]) ).
cnf(c_0_1376_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Osplice(X4,c_List_Otl(X1,X2),X2),X2),X2) = c_List_Osplice(c_List_Olist_OCons(X3,X4,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1376]) ).
cnf(c_0_1376_1,axiom,
( c_List_Olist_OCons(X3,c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Osplice(X4,c_List_Otl(X1,X2),X2),X2),X2) = c_List_Osplice(c_List_Olist_OCons(X3,X4,X2),X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1376]) ).
cnf(c_0_1377_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1377]) ).
cnf(c_0_1377_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1377]) ).
cnf(c_0_1377_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1377]) ).
cnf(c_0_1379_0,axiom,
( c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1379_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X5))
| c_ListOrder_Ostep1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1379]) ).
cnf(c_0_1380_0,axiom,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1380]) ).
cnf(c_0_1380_1,axiom,
( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1380]) ).
cnf(c_0_1381_0,axiom,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1381]) ).
cnf(c_0_1381_1,axiom,
( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1381]) ).
cnf(c_0_1382_0,axiom,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1382]) ).
cnf(c_0_1382_1,axiom,
( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1382]) ).
cnf(c_0_1383_0,axiom,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1383]) ).
cnf(c_0_1383_1,axiom,
( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1383]) ).
cnf(c_0_1384_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X1),v_sko__List__Xtl__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1384_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X1),v_sko__List__Xtl__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1384_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtl__Xinduct__1(X1),v_sko__List__Xtl__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1384]) ).
cnf(c_0_1385_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1385]) ).
cnf(c_0_1385_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1385]) ).
cnf(c_0_1385_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1385]) ).
cnf(c_0_1386_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1386]) ).
cnf(c_0_1386_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1386]) ).
cnf(c_0_1386_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1386]) ).
cnf(c_0_1387_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1387]) ).
cnf(c_0_1387_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1387]) ).
cnf(c_0_1387_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1387]) ).
cnf(c_0_1388_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X1),v_sko__List__Xsplice__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1388]) ).
cnf(c_0_1388_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X1),v_sko__List__Xsplice__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1388]) ).
cnf(c_0_1388_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xsplice__Xinduct__1(X1),v_sko__List__Xsplice__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1388]) ).
cnf(c_0_1389_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1389]) ).
cnf(c_0_1389_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1389]) ).
cnf(c_0_1389_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1389]) ).
cnf(c_0_1390_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1390]) ).
cnf(c_0_1390_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1390]) ).
cnf(c_0_1390_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1390]) ).
cnf(c_0_1391_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1391]) ).
cnf(c_0_1391_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1391]) ).
cnf(c_0_1391_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1391]) ).
cnf(c_0_1392_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1392]) ).
cnf(c_0_1392_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1392]) ).
cnf(c_0_1392_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1392]) ).
cnf(c_0_1393_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1393]) ).
cnf(c_0_1393_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1393]) ).
cnf(c_0_1393_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1393]) ).
cnf(c_0_1394_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1394]) ).
cnf(c_0_1394_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1394]) ).
cnf(c_0_1394_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1394]) ).
cnf(c_0_1395_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X1),v_sko__List__Xremdups__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1395]) ).
cnf(c_0_1395_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X1),v_sko__List__Xremdups__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1395]) ).
cnf(c_0_1395_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremdups__Xinduct__1(X1),v_sko__List__Xremdups__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1395]) ).
cnf(c_0_1396_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1396]) ).
cnf(c_0_1396_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1396]) ).
cnf(c_0_1396_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1396]) ).
cnf(c_0_1397_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1397]) ).
cnf(c_0_1397_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1397]) ).
cnf(c_0_1397_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1397]) ).
cnf(c_0_1398_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X1),v_sko__List__Xlist__Xinducts__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1398_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X1),v_sko__List__Xlist__Xinducts__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1398_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinducts__1(X1),v_sko__List__Xlist__Xinducts__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1398]) ).
cnf(c_0_1399_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X1),v_sko__List__Xmap__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1399_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X1),v_sko__List__Xmap__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1399_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xmap__Xinduct__1(X1),v_sko__List__Xmap__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1399]) ).
cnf(c_0_1400_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X1),v_sko__List__Xset__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1400]) ).
cnf(c_0_1400_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X1),v_sko__List__Xset__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1400]) ).
cnf(c_0_1400_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xset__Xinduct__1(X1),v_sko__List__Xset__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1400]) ).
cnf(c_0_1401_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X1),v_sko__List__Xtake__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1401]) ).
cnf(c_0_1401_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X1),v_sko__List__Xtake__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1401]) ).
cnf(c_0_1401_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xtake__Xinduct__1(X1),v_sko__List__Xtake__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1401]) ).
cnf(c_0_1402_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X1),v_sko__List__Xhd__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1402]) ).
cnf(c_0_1402_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X1),v_sko__List__Xhd__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1402]) ).
cnf(c_0_1402_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xhd__Xinduct__1(X1),v_sko__List__Xhd__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1402]) ).
cnf(c_0_1403_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X1),v_sko__List__Xconcat__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1403]) ).
cnf(c_0_1403_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X1),v_sko__List__Xconcat__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1403]) ).
cnf(c_0_1403_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xconcat__Xinduct__1(X1),v_sko__List__Xconcat__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1403]) ).
cnf(c_0_1404_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X1),v_sko__List__Xfoldl__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1404]) ).
cnf(c_0_1404_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X1),v_sko__List__Xfoldl__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1404]) ).
cnf(c_0_1404_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xfoldl__Xinduct__1(X1),v_sko__List__Xfoldl__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1404]) ).
cnf(c_0_1405_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X1),v_sko__List__Xrev__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1405_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X1),v_sko__List__Xrev__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1405_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xrev__Xinduct__1(X1),v_sko__List__Xrev__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1405]) ).
cnf(c_0_1406_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X1),v_sko__List__Xdrop__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1406_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X1),v_sko__List__Xdrop__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1406_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdrop__Xinduct__1(X1),v_sko__List__Xdrop__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1406]) ).
cnf(c_0_1407_0,axiom,
( c_List_Odistinct(c_List_Olinorder__class_Osort__key(X3,X1,X2,X4),X2)
| ~ c_List_Odistinct(X1,X2)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1407_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Olinorder__class_Osort__key(X3,X1,X2,X4),X2)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1407_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Olinorder__class_Osort__key(X3,X1,X2,X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1407]) ).
cnf(c_0_1411_0,axiom,
( c_List_Olistsp(X1,X2,X3)
| ~ hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1411]) ).
cnf(c_0_1411_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Osko__List__Xin__listsp__conv__set__1__1(X1,X2,X3)))
| c_List_Olistsp(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1411]) ).
cnf(c_0_1412_0,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1412]) ).
cnf(c_0_1412_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1412]) ).
cnf(c_0_1412_2,axiom,
( ~ hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1412]) ).
cnf(c_0_1414_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1414]) ).
cnf(c_0_1414_1,axiom,
( c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1414]) ).
cnf(c_0_1415_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X4,X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1415]) ).
cnf(c_0_1415_1,axiom,
( c_List_Omap(X4,X1,X2,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1415]) ).
cnf(c_0_1416_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1416]) ).
cnf(c_0_1416_1,axiom,
( c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1416]) ).
cnf(c_0_1419_0,axiom,
( c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1419]) ).
cnf(c_0_1419_1,axiom,
( ~ c_List_Olistsp(X1,X2,X3)
| c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,X3)
| ~ c_List_Olistsp(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1419]) ).
cnf(c_0_1419_2,axiom,
( ~ c_List_Olistsp(X4,X2,X3)
| ~ c_List_Olistsp(X1,X2,X3)
| c_List_Olistsp(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1419]) ).
cnf(c_0_1420_0,axiom,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1420]) ).
cnf(c_0_1420_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1420]) ).
cnf(c_0_1421_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,X3,X4)
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1421]) ).
cnf(c_0_1421_1,axiom,
( c_List_Olist__ex(X1,X3,X4)
| hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1421]) ).
cnf(c_0_1421_2,axiom,
( ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| c_List_Olist__ex(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1421]) ).
cnf(c_0_1422_0,axiom,
( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1422]) ).
cnf(c_0_1422_1,axiom,
( ~ c_List_Olistsp(X1,X2,X3)
| c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1422]) ).
cnf(c_0_1422_2,axiom,
( ~ c_List_Olistsp(X1,X4,X3)
| ~ c_List_Olistsp(X1,X2,X3)
| c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1422]) ).
cnf(c_0_1423_0,axiom,
( c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1423_1,axiom,
( ~ c_List_Olist__all(X1,X2,X3)
| c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1423_2,axiom,
( ~ c_List_Olist__all(X1,X4,X3)
| ~ c_List_Olist__all(X1,X2,X3)
| c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1423]) ).
cnf(c_0_1424_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_1424]) ).
cnf(c_0_1424_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_1424]) ).
cnf(c_0_1425_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_1425]) ).
cnf(c_0_1425_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_1425]) ).
cnf(c_0_1426_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_1426]) ).
cnf(c_0_1426_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_1426]) ).
cnf(c_0_1427_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_1427]) ).
cnf(c_0_1427_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_1427]) ).
cnf(c_0_1429_0,axiom,
( X1 = X2
| c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1429]) ).
cnf(c_0_1429_1,axiom,
( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1429]) ).
cnf(c_0_1439_0,axiom,
( X1 = X2
| c_List_Omember(X1,X3,X4)
| ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_1,axiom,
( c_List_Omember(X1,X3,X4)
| X1 = X2
| ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1439_2,axiom,
( ~ c_List_Omember(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| c_List_Omember(X1,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1439]) ).
cnf(c_0_1440_0,axiom,
( c_List_Olistsp(X1,X2,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1440_1,axiom,
( ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olistsp(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1440]) ).
cnf(c_0_1441_0,axiom,
( c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1441_1,axiom,
( ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olistsp(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1441]) ).
cnf(c_0_1442_0,axiom,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1442_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1442]) ).
cnf(c_0_1443_0,axiom,
( c_List_Olist__all(X1,X2,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1443_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olist__all(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1443]) ).
cnf(c_0_1444_0,axiom,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1444_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1444]) ).
cnf(c_0_1445_0,axiom,
( X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1445_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X4,X2,X3)
| X1 = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1445]) ).
cnf(c_0_1447_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otake(X3,c_List_Otl(X1,X2),X2),X2) = c_List_Otake(c_Suc(X3),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1447_1,axiom,
( c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Otake(X3,c_List_Otl(X1,X2),X2),X2) = c_List_Otake(c_Suc(X3),X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1447]) ).
cnf(c_0_1448_0,axiom,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1448_2,axiom,
( ~ c_List_Olist__all(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2))
| c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1448]) ).
cnf(c_0_1450_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1450_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1450]) ).
cnf(c_0_1451_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Orotate1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1451_1,axiom,
( c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Orotate1(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1451]) ).
cnf(c_0_1453_0,axiom,
( c_List_Olinorder__class_Osort__key(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X2)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1453_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_List_Olinorder__class_Osort__key(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1453]) ).
cnf(c_0_1454_0,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1454_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1454]) ).
cnf(c_0_1463_0,axiom,
( hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinduct__2(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_1,axiom,
( hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinduct__2(X1,X3)))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinduct__2(X1,X3)))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1463_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinduct__2(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1463]) ).
cnf(c_0_1464_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_1,axiom,
( hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X3)))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X3)))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1464_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinduct__1(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1464]) ).
cnf(c_0_1465_0,axiom,
( hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinducts__2(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_1,axiom,
( hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinducts__2(X1,X3)))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinducts__2(X1,X3)))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1465_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X3,v_sko__List__Xlistsp__Xinducts__2(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1465]) ).
cnf(c_0_1466_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X3)))
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_1,axiom,
( hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X3)))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X3)))
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1466_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xinducts__1(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1466]) ).
cnf(c_0_1467_0,axiom,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a)
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_1,axiom,
( hBOOL(hAPP(X3,X2))
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a)
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1467_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinduct__2(X1,X3),t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1467]) ).
cnf(c_0_1468_0,axiom,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a)
| hBOOL(hAPP(X3,X2))
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_1,axiom,
( hBOOL(hAPP(X3,X2))
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a)
| ~ c_List_Olistsp(X1,X2,t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a)
| ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1468_3,axiom,
( ~ hBOOL(hAPP(X3,c_List_Olist_ONil(t_a)))
| ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X3,X2))
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xinducts__2(X1,X3),t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1468]) ).
cnf(c_0_1469_0,axiom,
( c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Omember(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1469_1,axiom,
( ~ c_List_Omember(X1,X2,X3)
| c_List_Omember(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1469]) ).
cnf(c_0_1470_0,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Olist__ex(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1470_1,axiom,
( ~ c_List_Olist__ex(X1,X2,X3)
| c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1470]) ).
cnf(c_0_1471_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1471_1,axiom,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1471]) ).
cnf(c_0_1472_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1472_1,axiom,
( c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1472]) ).
cnf(c_0_1473_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1473_1,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1473]) ).
cnf(c_0_1475_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_1475]) ).
cnf(c_0_1475_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_1475]) ).
cnf(c_0_1476_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_1476]) ).
cnf(c_0_1476_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_1476]) ).
cnf(c_0_1481_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1481_1,axiom,
( c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1481]) ).
cnf(c_0_1483_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1483_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1483]) ).
cnf(c_0_1484_0,axiom,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1484_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1484_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1484]) ).
cnf(c_0_1485_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1485_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1485]) ).
cnf(c_0_1486_0,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1486_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1486]) ).
cnf(c_0_1487_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1487_1,axiom,
( c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1487]) ).
cnf(c_0_1488_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1488_1,axiom,
( ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1488]) ).
cnf(c_0_1489_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1489_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1489]) ).
cnf(c_0_1490_0,axiom,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1490_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1490]) ).
cnf(c_0_1491_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1491_1,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1491]) ).
cnf(c_0_1492_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1492_1,axiom,
( c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1492]) ).
cnf(c_0_1493_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1493_1,axiom,
( c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1493]) ).
cnf(c_0_1499_0,axiom,
( X2 = c_List_Olist_ONil(t_a)
| c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X2),v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a) = X2
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1499_1,axiom,
( c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X2),v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a) = X2
| X2 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1499_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| c_List_Olist_OCons(v_sko__List__Xlistsp__Xcases__1(X1,X2),v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a) = X2
| X2 = c_List_Olist_ONil(t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1499]) ).
cnf(c_0_1503_0,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Orev(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1503_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Orev(X2,X3),X3)
| c_List_Olist__all(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1503]) ).
cnf(c_0_1505_0,axiom,
( hBOOL(hAPP(X1,c_List_Osko__List__Xrev__induct__1__2(X1,X2)))
| hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_1,axiom,
( hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_List_Osko__List__Xrev__induct__1__2(X1,X2)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1505_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(X2)))
| hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(X1,c_List_Osko__List__Xrev__induct__1__2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_1505]) ).
cnf(c_0_1506_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1506_1,axiom,
( c_List_Orev(X1,X3) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1506]) ).
cnf(c_0_1507_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1507_1,axiom,
( c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != c_List_Orev(X1,X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1507]) ).
cnf(c_0_1508_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_1508]) ).
cnf(c_0_1508_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_1508]) ).
cnf(c_0_1509_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_1509]) ).
cnf(c_0_1509_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_1509]) ).
cnf(c_0_1510_0,axiom,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1510_1,axiom,
( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1510]) ).
cnf(c_0_1511_0,axiom,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1511_1,axiom,
( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1511]) ).
cnf(c_0_1512_0,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1512_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1512]) ).
cnf(c_0_1513_0,axiom,
( X2 = c_List_Olist_ONil(t_a)
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X2)))
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1513_1,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X2)))
| X2 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1513_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| hBOOL(hAPP(X1,v_sko__List__Xlistsp__Xcases__1(X1,X2)))
| X2 = c_List_Olist_ONil(t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1513]) ).
cnf(c_0_1514_0,axiom,
( c_List_Olist__all(X1,c_List_Orev(X2,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1514_1,axiom,
( ~ c_List_Olist__all(X1,X2,X3)
| c_List_Olist__all(X1,c_List_Orev(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1514]) ).
cnf(c_0_1515_0,axiom,
( X2 = c_List_Olist_ONil(t_a)
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_1,axiom,
( c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a)
| X2 = c_List_Olist_ONil(t_a)
| ~ c_List_Olistsp(X1,X2,t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1515_2,axiom,
( ~ c_List_Olistsp(X1,X2,t_a)
| c_List_Olistsp(X1,v_sko__List__Xlistsp__Xcases__2(X1,X2),t_a)
| X2 = c_List_Olist_ONil(t_a) ),
inference(literals_permutation,[status(thm)],[c_0_1515]) ).
cnf(c_0_1519_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1519_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1519_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1519]) ).
cnf(c_0_1520_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1520_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1520_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1520]) ).
cnf(c_0_1521_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1521_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1521]) ).
cnf(c_0_1522_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1522_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1522]) ).
cnf(c_0_1524_0,axiom,
( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1524_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1524]) ).
cnf(c_0_1525_0,axiom,
( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1525_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1525]) ).
cnf(c_0_1526_0,axiom,
( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1526_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1526]) ).
cnf(c_0_1527_0,axiom,
( c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1527_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1527]) ).
cnf(c_0_1528_0,axiom,
( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1528_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Otake(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1528]) ).
cnf(c_0_1529_0,axiom,
( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1529_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1529]) ).
cnf(c_0_1530_0,axiom,
( c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1530_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1530]) ).
cnf(c_0_1532_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1532_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1532]) ).
cnf(c_0_1533_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1533_1,axiom,
( c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1533]) ).
cnf(c_0_1534_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1534_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1534]) ).
cnf(c_0_1535_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1535_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1535]) ).
cnf(c_0_1536_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1536_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1536]) ).
cnf(c_0_1537_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1537_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1537]) ).
cnf(c_0_1538_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1538_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1538]) ).
cnf(c_0_1539_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1539_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1539]) ).
cnf(c_0_1540_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1540_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1540_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1540]) ).
cnf(c_0_1541_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1541_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1541_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1541]) ).
cnf(c_0_1542_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1542_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1542_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1542]) ).
cnf(c_0_1543_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1543]) ).
cnf(c_0_1543_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1543]) ).
cnf(c_0_1543_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1543]) ).
cnf(c_0_1544_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1544_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1544]) ).
cnf(c_0_1545_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1545_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1545]) ).
cnf(c_0_1546_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1546]) ).
cnf(c_0_1546_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1546]) ).
cnf(c_0_1546_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1546]) ).
cnf(c_0_1547_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1547_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1547]) ).
cnf(c_0_1548_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1548_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1548]) ).
cnf(c_0_1549_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xdrop__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdrop__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1549_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdrop__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1549]) ).
cnf(c_0_1550_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xremdups__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1550_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremdups__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1550_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremdups__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1550]) ).
cnf(c_0_1551_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xhd__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xhd__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1551_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xhd__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1551]) ).
cnf(c_0_1552_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinducts__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinducts__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1552_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinducts__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1552]) ).
cnf(c_0_1553_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xtl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtl__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1553_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtl__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1553]) ).
cnf(c_0_1554_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xset__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1554_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xset__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1554]) ).
cnf(c_0_1555_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xsplice__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xsplice__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1555_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xsplice__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1555]) ).
cnf(c_0_1556_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xrev__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1556]) ).
cnf(c_0_1556_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xrev__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1556]) ).
cnf(c_0_1556_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xrev__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_1556]) ).
cnf(c_0_1557_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_1557]) ).
cnf(c_0_1557_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_1557]) ).
cnf(c_0_1560_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_1560]) ).
cnf(c_0_1560_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_1560]) ).
cnf(c_0_1561_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_1561]) ).
cnf(c_0_1561_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_1561]) ).
cnf(c_0_1563_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1563]) ).
cnf(c_0_1563_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1563]) ).
cnf(c_0_1564_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1564]) ).
cnf(c_0_1564_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1564]) ).
cnf(c_0_1565_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1565]) ).
cnf(c_0_1565_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1565]) ).
cnf(c_0_1566_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1566]) ).
cnf(c_0_1566_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1566]) ).
cnf(c_0_1567_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1567]) ).
cnf(c_0_1567_1,axiom,
( c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1567]) ).
cnf(c_0_1570_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1570]) ).
cnf(c_0_1570_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1570]) ).
cnf(c_0_1571_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1571]) ).
cnf(c_0_1571_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1571]) ).
cnf(c_0_1572_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1572]) ).
cnf(c_0_1572_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1572]) ).
cnf(c_0_1573_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_1573]) ).
cnf(c_0_1573_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1573]) ).
cnf(c_0_1579_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_1579]) ).
cnf(c_0_1579_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_1579]) ).
cnf(c_0_1581_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1581]) ).
cnf(c_0_1581_1,axiom,
( ~ c_List_Odistinct(c_List_Orev(X1,X2),X2)
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1581]) ).
cnf(c_0_1582_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1582]) ).
cnf(c_0_1582_1,axiom,
( ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1582]) ).
cnf(c_0_1585_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1585]) ).
cnf(c_0_1585_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1585]) ).
cnf(c_0_1585_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1585]) ).
cnf(c_0_1594_0,axiom,
( c_List_Odistinct(c_List_Orev(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1594]) ).
cnf(c_0_1594_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Orev(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1594]) ).
cnf(c_0_1595_0,axiom,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1595]) ).
cnf(c_0_1595_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1595]) ).
cnf(c_0_1596_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1596]) ).
cnf(c_0_1596_1,axiom,
( ~ class_Lattices_Olower__semilattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1596]) ).
cnf(c_0_1606_0,axiom,
( X1 = X2
| c_List_Orev(X1,X3) != c_List_Orev(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1606]) ).
cnf(c_0_1606_1,axiom,
( c_List_Orev(X1,X3) != c_List_Orev(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1606]) ).
cnf(c_0_1611_0,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1611]) ).
cnf(c_0_1611_1,axiom,
( c_List_Oremdups(X1,X2) != X1
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1611]) ).
cnf(c_0_1612_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1612]) ).
cnf(c_0_1612_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1612]) ).
cnf(c_0_1613_0,axiom,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1613]) ).
cnf(c_0_1613_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1613]) ).
cnf(c_0_1614_0,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1614]) ).
cnf(c_0_1614_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olower__semilattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_1614]) ).
cnf(c_0_1615_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1615]) ).
cnf(c_0_1615_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1615]) ).
cnf(c_0_1616_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1616_1,axiom,
( c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1616]) ).
cnf(c_0_1617_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1617_1,axiom,
( c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1617]) ).
cnf(c_0_1618_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1618]) ).
cnf(c_0_1618_1,axiom,
( c_List_Orev(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1618]) ).
cnf(c_0_1619_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1619]) ).
cnf(c_0_1619_1,axiom,
( c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1619]) ).
cnf(c_0_1620_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1620]) ).
cnf(c_0_1620_1,axiom,
( ~ c_List_Onull(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1620]) ).
cnf(c_0_1621_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1621_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_1621]) ).
cnf(c_0_1630_0,axiom,
( X1 = X2
| c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1630]) ).
cnf(c_0_1630_1,axiom,
( c_Lambda_OdB_OAbs(X1) != c_Lambda_OdB_OAbs(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1630]) ).
cnf(c_0_1631_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1631]) ).
cnf(c_0_1631_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1631]) ).
cnf(c_0_1632_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1632]) ).
cnf(c_0_1632_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1632]) ).
cnf(c_0_1417_0,axiom,
~ c_ListOrder_Ostep1(X1,c_List_Olist_ONil(X2),X3,X2),
inference(literals_permutation,[status(thm)],[c_0_1417]) ).
cnf(c_0_1418_0,axiom,
~ c_ListOrder_Ostep1(X1,X2,c_List_Olist_ONil(X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1418]) ).
cnf(c_0_1502_0,axiom,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1502]) ).
cnf(c_0_1568_0,axiom,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1568]) ).
cnf(c_0_1569_0,axiom,
~ c_List_Omember(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1569]) ).
cnf(c_0_1574_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1574]) ).
cnf(c_0_1575_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1575]) ).
cnf(c_0_1576_0,axiom,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1576]) ).
cnf(c_0_1577_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != X1,
inference(literals_permutation,[status(thm)],[c_0_1577]) ).
cnf(c_0_1578_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(literals_permutation,[status(thm)],[c_0_1578]) ).
cnf(c_0_1633_0,axiom,
c_Suc(X1) != X1,
inference(literals_permutation,[status(thm)],[c_0_1633]) ).
cnf(c_0_1634_0,axiom,
c_Suc(X1) != X1,
inference(literals_permutation,[status(thm)],[c_0_1634]) ).
cnf(c_0_1316_0,axiom,
c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6) = c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6),
inference(literals_permutation,[status(thm)],[c_0_1316]) ).
cnf(c_0_1317_0,axiom,
c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5) = c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5),
inference(literals_permutation,[status(thm)],[c_0_1317]) ).
cnf(c_0_1318_0,axiom,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(hAPP(X2,X3),X4),c_List_Olist_Olist__rec(X1,X2,X4,X6,X5)),
inference(literals_permutation,[status(thm)],[c_0_1318]) ).
cnf(c_0_1319_0,axiom,
c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6) = hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)),
inference(literals_permutation,[status(thm)],[c_0_1319]) ).
cnf(c_0_1330_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_1330]) ).
cnf(c_0_1339_0,axiom,
c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6) = c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6),
inference(literals_permutation,[status(thm)],[c_0_1339]) ).
cnf(c_0_1343_0,axiom,
c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1343]) ).
cnf(c_0_1344_0,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
inference(literals_permutation,[status(thm)],[c_0_1344]) ).
cnf(c_0_1345_0,axiom,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1345]) ).
cnf(c_0_1346_0,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1346]) ).
cnf(c_0_1347_0,axiom,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_1347]) ).
cnf(c_0_1348_0,axiom,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1348]) ).
cnf(c_0_1349_0,axiom,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1349]) ).
cnf(c_0_1350_0,axiom,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
inference(literals_permutation,[status(thm)],[c_0_1350]) ).
cnf(c_0_1351_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1351]) ).
cnf(c_0_1352_0,axiom,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
inference(literals_permutation,[status(thm)],[c_0_1352]) ).
cnf(c_0_1354_0,axiom,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
inference(literals_permutation,[status(thm)],[c_0_1354]) ).
cnf(c_0_1357_0,axiom,
c_List_Oconcat__map(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Oappend(hAPP(X1,X2),c_List_Oconcat__map(X1,X3,X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_1357]) ).
cnf(c_0_1358_0,axiom,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_1358]) ).
cnf(c_0_1359_0,axiom,
c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1359]) ).
cnf(c_0_1360_0,axiom,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_1360]) ).
cnf(c_0_1361_0,axiom,
c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_Suc(X4),X5,X3) = c_List_Olist_OCons(X1,c_List_Olist__update(X2,X4,X5,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1361]) ).
cnf(c_0_1362_0,axiom,
c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1362]) ).
cnf(c_0_1363_0,axiom,
c_List_Orotate(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Orotate(X1,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1363]) ).
cnf(c_0_1364_0,axiom,
c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1364]) ).
cnf(c_0_1374_0,axiom,
c_List_Orev(c_List_Omap(X1,X2,X3,X4),X4) = c_List_Omap(X1,c_List_Orev(X2,X3),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_1374]) ).
cnf(c_0_1378_0,axiom,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_OCons(X4,c_List_Osplice(X2,X5,X3),X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1378]) ).
cnf(c_0_1408_0,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_1408]) ).
cnf(c_0_1409_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1409]) ).
cnf(c_0_1410_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1410]) ).
cnf(c_0_1413_0,axiom,
c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1413]) ).
cnf(c_0_1428_0,axiom,
c_List_Otake(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(X1,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1428]) ).
cnf(c_0_1430_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1430]) ).
cnf(c_0_1431_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1431]) ).
cnf(c_0_1432_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1432]) ).
cnf(c_0_1433_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1433]) ).
cnf(c_0_1434_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1434]) ).
cnf(c_0_1435_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1435]) ).
cnf(c_0_1436_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1436]) ).
cnf(c_0_1437_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1437]) ).
cnf(c_0_1438_0,axiom,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1438]) ).
cnf(c_0_1446_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1446]) ).
cnf(c_0_1449_0,axiom,
c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1449]) ).
cnf(c_0_1452_0,axiom,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1452]) ).
cnf(c_0_1455_0,axiom,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1455]) ).
cnf(c_0_1456_0,axiom,
c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1456]) ).
cnf(c_0_1457_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1457]) ).
cnf(c_0_1458_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1458]) ).
cnf(c_0_1459_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1459]) ).
cnf(c_0_1460_0,axiom,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1460]) ).
cnf(c_0_1461_0,axiom,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1461]) ).
cnf(c_0_1462_0,axiom,
c_List_Oconcat__map(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1462]) ).
cnf(c_0_1474_0,axiom,
c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3) = c_List_Orev(c_List_Oappend(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1474]) ).
cnf(c_0_1477_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(literals_permutation,[status(thm)],[c_0_1477]) ).
cnf(c_0_1478_0,axiom,
c_List_Osplice(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1478]) ).
cnf(c_0_1479_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1479]) ).
cnf(c_0_1480_0,axiom,
c_List_Odrop(c_Suc(X1),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(X1,X3,X4),
inference(literals_permutation,[status(thm)],[c_0_1480]) ).
cnf(c_0_1482_0,axiom,
c_List_Otl(c_List_Otake(c_Suc(X1),X2,X3),X3) = c_List_Otake(X1,c_List_Otl(X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1482]) ).
cnf(c_0_1494_0,axiom,
c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1494]) ).
cnf(c_0_1495_0,axiom,
c_List_Ofilter(X1,c_List_Orev(X2,X3),X3) = c_List_Orev(c_List_Ofilter(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1495]) ).
cnf(c_0_1496_0,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1496]) ).
cnf(c_0_1497_0,axiom,
c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1497]) ).
cnf(c_0_1498_0,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1498]) ).
cnf(c_0_1500_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1500]) ).
cnf(c_0_1501_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1501]) ).
cnf(c_0_1504_0,axiom,
c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(c_Suc(X1),X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1504]) ).
cnf(c_0_1516_0,axiom,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1516]) ).
cnf(c_0_1517_0,axiom,
c_List_Omember(X1,c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1517]) ).
cnf(c_0_1518_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1518]) ).
cnf(c_0_1523_0,axiom,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
inference(literals_permutation,[status(thm)],[c_0_1523]) ).
cnf(c_0_1531_0,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Odrop(c_Suc(X1),X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1531]) ).
cnf(c_0_1558_0,axiom,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1558]) ).
cnf(c_0_1559_0,axiom,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1559]) ).
cnf(c_0_1562_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(literals_permutation,[status(thm)],[c_0_1562]) ).
cnf(c_0_1580_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(literals_permutation,[status(thm)],[c_0_1580]) ).
cnf(c_0_1583_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1583]) ).
cnf(c_0_1584_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1584]) ).
cnf(c_0_1586_0,axiom,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_1586]) ).
cnf(c_0_1587_0,axiom,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_1587]) ).
cnf(c_0_1588_0,axiom,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_1588]) ).
cnf(c_0_1589_0,axiom,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1589]) ).
cnf(c_0_1590_0,axiom,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_1590]) ).
cnf(c_0_1591_0,axiom,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_1591]) ).
cnf(c_0_1592_0,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1592]) ).
cnf(c_0_1593_0,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_1593]) ).
cnf(c_0_1597_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1597]) ).
cnf(c_0_1598_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1598]) ).
cnf(c_0_1599_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1599]) ).
cnf(c_0_1600_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_1600]) ).
cnf(c_0_1601_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1601]) ).
cnf(c_0_1602_0,axiom,
c_List_Osplice(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_1602]) ).
cnf(c_0_1603_0,axiom,
c_List_Osplice(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1603]) ).
cnf(c_0_1604_0,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1604]) ).
cnf(c_0_1605_0,axiom,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1605]) ).
cnf(c_0_1607_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1607]) ).
cnf(c_0_1608_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1608]) ).
cnf(c_0_1609_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_1609]) ).
cnf(c_0_1610_0,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1610]) ).
cnf(c_0_1622_0,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1622]) ).
cnf(c_0_1623_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1623]) ).
cnf(c_0_1624_0,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1624]) ).
cnf(c_0_1625_0,axiom,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1625]) ).
cnf(c_0_1626_0,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1626]) ).
cnf(c_0_1627_0,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1627]) ).
cnf(c_0_1628_0,axiom,
c_List_Onull(c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_1628]) ).
cnf(c_0_1629_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_1629]) ).
cnf(c_0_1635_0,axiom,
class_Lattices_Olattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_1635]) ).
cnf(c_0_1636_0,axiom,
class_Lattices_Olower__semilattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_1636]) ).
cnf(c_0_1637_0,axiom,
class_Lattices_Olattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1637]) ).
cnf(c_0_1638_0,axiom,
class_Orderings_Olinorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1638]) ).
cnf(c_0_1639_0,axiom,
class_Lattices_Olower__semilattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1639]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_1_002,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
c_0_1 ).
cnf(c_0_3_004,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_631,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/tmp/iprover_modulo_08b1a2.p',c_0_4) ).
cnf(c_908,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(copy,[status(esa)],[c_631]) ).
cnf(c_912,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(copy,[status(esa)],[c_908]) ).
cnf(c_913,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(copy,[status(esa)],[c_912]) ).
cnf(c_914,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(copy,[status(esa)],[c_913]) ).
cnf(c_2715,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(copy,[status(esa)],[c_914]) ).
cnf(c_18,plain,
c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/tmp/iprover_modulo_08b1a2.p',c_0_1604_0) ).
cnf(c_1574,plain,
c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_2718,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2715,c_1574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL764-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 13:51:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.45 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.45 % Orientation found
% 0.19/0.45 % 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_09755d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_08b1a2.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4a67a4 | grep -v "SZS"
% 0.19/0.47
% 0.19/0.47 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.47
% 0.19/0.47 %
% 0.19/0.47 % ------ iProver source info
% 0.19/0.47
% 0.19/0.47 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.47 % git: non_committed_changes: true
% 0.19/0.47 % git: last_make_outside_of_git: true
% 0.19/0.47
% 0.19/0.47 %
% 0.19/0.47 % ------ Input Options
% 0.19/0.47
% 0.19/0.47 % --out_options all
% 0.19/0.47 % --tptp_safe_out true
% 0.19/0.47 % --problem_path ""
% 0.19/0.47 % --include_path ""
% 0.19/0.47 % --clausifier .//eprover
% 0.19/0.47 % --clausifier_options --tstp-format
% 0.19/0.47 % --stdin false
% 0.19/0.47 % --dbg_backtrace false
% 0.19/0.47 % --dbg_dump_prop_clauses false
% 0.19/0.47 % --dbg_dump_prop_clauses_file -
% 0.19/0.47 % --dbg_out_stat false
% 0.19/0.47
% 0.19/0.47 % ------ General Options
% 0.19/0.47
% 0.19/0.47 % --fof false
% 0.19/0.47 % --time_out_real 150.
% 0.19/0.47 % --time_out_prep_mult 0.2
% 0.19/0.47 % --time_out_virtual -1.
% 0.19/0.47 % --schedule none
% 0.19/0.47 % --ground_splitting input
% 0.19/0.47 % --splitting_nvd 16
% 0.19/0.47 % --non_eq_to_eq false
% 0.19/0.47 % --prep_gs_sim true
% 0.19/0.47 % --prep_unflatten false
% 0.19/0.47 % --prep_res_sim true
% 0.19/0.47 % --prep_upred true
% 0.19/0.47 % --res_sim_input true
% 0.19/0.47 % --clause_weak_htbl true
% 0.19/0.47 % --gc_record_bc_elim false
% 0.19/0.47 % --symbol_type_check false
% 0.19/0.47 % --clausify_out false
% 0.19/0.47 % --large_theory_mode false
% 0.19/0.47 % --prep_sem_filter none
% 0.19/0.47 % --prep_sem_filter_out false
% 0.19/0.47 % --preprocessed_out false
% 0.19/0.47 % --sub_typing false
% 0.19/0.47 % --brand_transform false
% 0.19/0.47 % --pure_diseq_elim true
% 0.19/0.47 % --min_unsat_core false
% 0.19/0.47 % --pred_elim true
% 0.19/0.47 % --add_important_lit false
% 0.19/0.47 % --soft_assumptions false
% 0.19/0.47 % --reset_solvers false
% 0.19/0.47 % --bc_imp_inh []
% 0.19/0.47 % --conj_cone_tolerance 1.5
% 0.19/0.47 % --prolific_symb_bound 500
% 0.19/0.47 % --lt_threshold 2000
% 0.19/0.47
% 0.19/0.47 % ------ SAT Options
% 0.19/0.47
% 0.19/0.47 % --sat_mode false
% 0.19/0.47 % --sat_fm_restart_options ""
% 0.19/0.47 % --sat_gr_def false
% 0.19/0.47 % --sat_epr_types true
% 0.19/0.47 % --sat_non_cyclic_types false
% 0.19/0.47 % --sat_finite_models false
% 0.19/0.47 % --sat_fm_lemmas false
% 0.19/0.47 % --sat_fm_prep false
% 0.19/0.47 % --sat_fm_uc_incr true
% 0.19/0.47 % --sat_out_model small
% 0.19/0.47 % --sat_out_clauses false
% 0.19/0.47
% 0.19/0.47 % ------ QBF Options
% 0.19/0.47
% 0.19/0.47 % --qbf_mode false
% 0.19/0.47 % --qbf_elim_univ true
% 0.19/0.47 % --qbf_sk_in true
% 0.19/0.47 % --qbf_pred_elim true
% 0.19/0.47 % --qbf_split 32
% 0.19/0.47
% 0.19/0.47 % ------ BMC1 Options
% 0.19/0.47
% 0.19/0.47 % --bmc1_incremental false
% 0.19/0.47 % --bmc1_axioms reachable_all
% 0.19/0.47 % --bmc1_min_bound 0
% 0.19/0.47 % --bmc1_max_bound -1
% 0.19/0.47 % --bmc1_max_bound_default -1
% 0.19/0.47 % --bmc1_symbol_reachability true
% 0.19/0.47 % --bmc1_property_lemmas false
% 0.19/0.47 % --bmc1_k_induction false
% 0.19/0.47 % --bmc1_non_equiv_states false
% 0.19/0.47 % --bmc1_deadlock false
% 0.19/0.47 % --bmc1_ucm false
% 0.19/0.47 % --bmc1_add_unsat_core none
% 0.19/0.47 % --bmc1_unsat_core_children false
% 0.19/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.47 % --bmc1_out_stat full
% 0.19/0.47 % --bmc1_ground_init false
% 0.19/0.47 % --bmc1_pre_inst_next_state false
% 0.19/0.47 % --bmc1_pre_inst_state false
% 0.19/0.47 % --bmc1_pre_inst_reach_state false
% 0.19/0.47 % --bmc1_out_unsat_core false
% 0.19/0.47 % --bmc1_aig_witness_out false
% 0.19/0.47 % --bmc1_verbose false
% 0.19/0.47 % --bmc1_dump_clauses_tptp false
% 150.15/150.47 % --bmc1_dump_unsat_core_tptp false
% 150.15/150.47 % --bmc1_dump_file -
% 150.15/150.47 % --bmc1_ucm_expand_uc_limit 128
% 150.15/150.47 % --bmc1_ucm_n_expand_iterations 6
% 150.15/150.47 % --bmc1_ucm_extend_mode 1
% 150.15/150.47 % --bmc1_ucm_init_mode 2
% 150.15/150.47 % --bmc1_ucm_cone_mode none
% 150.15/150.47 % --bmc1_ucm_reduced_relation_type 0
% 150.15/150.47 % --bmc1_ucm_relax_model 4
% 150.15/150.47 % --bmc1_ucm_full_tr_after_sat true
% 150.15/150.47 % --bmc1_ucm_expand_neg_assumptions false
% 150.15/150.47 % --bmc1_ucm_layered_model none
% 150.15/150.47 % --bmc1_ucm_max_lemma_size 10
% 150.15/150.47
% 150.15/150.47 % ------ AIG Options
% 150.15/150.47
% 150.15/150.47 % --aig_mode false
% 150.15/150.47
% 150.15/150.47 % ------ Instantiation Options
% 150.15/150.47
% 150.15/150.47 % --instantiation_flag true
% 150.15/150.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.15/150.47 % --inst_solver_per_active 750
% 150.15/150.47 % --inst_solver_calls_frac 0.5
% 150.15/150.47 % --inst_passive_queue_type priority_queues
% 150.15/150.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.15/150.47 % --inst_passive_queues_freq [25;2]
% 150.15/150.47 % --inst_dismatching true
% 150.15/150.47 % --inst_eager_unprocessed_to_passive true
% 150.15/150.47 % --inst_prop_sim_given true
% 150.15/150.47 % --inst_prop_sim_new false
% 150.15/150.47 % --inst_orphan_elimination true
% 150.15/150.47 % --inst_learning_loop_flag true
% 150.15/150.47 % --inst_learning_start 3000
% 150.15/150.47 % --inst_learning_factor 2
% 150.15/150.47 % --inst_start_prop_sim_after_learn 3
% 150.15/150.47 % --inst_sel_renew solver
% 150.15/150.47 % --inst_lit_activity_flag true
% 150.15/150.47 % --inst_out_proof true
% 150.15/150.47
% 150.15/150.47 % ------ Resolution Options
% 150.15/150.47
% 150.15/150.47 % --resolution_flag true
% 150.15/150.47 % --res_lit_sel kbo_max
% 150.15/150.47 % --res_to_prop_solver none
% 150.15/150.47 % --res_prop_simpl_new false
% 150.15/150.47 % --res_prop_simpl_given false
% 150.15/150.47 % --res_passive_queue_type priority_queues
% 150.15/150.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.15/150.47 % --res_passive_queues_freq [15;5]
% 150.15/150.47 % --res_forward_subs full
% 150.15/150.47 % --res_backward_subs full
% 150.15/150.47 % --res_forward_subs_resolution true
% 150.15/150.47 % --res_backward_subs_resolution true
% 150.15/150.47 % --res_orphan_elimination false
% 150.15/150.47 % --res_time_limit 1000.
% 150.15/150.47 % --res_out_proof true
% 150.15/150.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_09755d.s
% 150.15/150.47 % --modulo true
% 150.15/150.47
% 150.15/150.47 % ------ Combination Options
% 150.15/150.47
% 150.15/150.47 % --comb_res_mult 1000
% 150.15/150.47 % --comb_inst_mult 300
% 150.15/150.47 % ------
% 150.15/150.47
% 150.15/150.47 % ------ Parsing...% successful
% 150.15/150.47
% 150.15/150.47 % ------ 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 %
% 150.15/150.47
% 150.15/150.47 % ------ Proving...
% 150.15/150.47 % ------ Problem Properties
% 150.15/150.47
% 150.15/150.47 %
% 150.15/150.47 % EPR false
% 150.15/150.47 % Horn false
% 150.15/150.47 % Has equality true
% 150.15/150.47
% 150.15/150.47 % % ------ Input Options Time Limit: Unbounded
% 150.15/150.47
% 150.15/150.47
% 150.15/150.47 Compiling...
% 150.15/150.47 Loading plugin: done.
% 150.15/150.47 %
% 150.15/150.47
% 150.15/150.47
% 150.15/150.47 % Time Out Real
% 150.15/150.47
% 150.15/150.47 % ------ Statistics
% 150.15/150.47
% 150.15/150.47 % ------ General
% 150.15/150.47
% 150.15/150.47 % num_of_input_clauses: 632
% 150.15/150.47 % num_of_input_neg_conjectures: 1
% 150.15/150.47 % num_of_splits: 0
% 150.15/150.47 % num_of_split_atoms: 0
% 150.15/150.47 % num_of_sem_filtered_clauses: 0
% 150.15/150.47 % num_of_subtypes: 0
% 150.15/150.47 % monotx_restored_types: 0
% 150.15/150.47 % sat_num_of_epr_types: 0
% 150.15/150.47 % sat_num_of_non_cyclic_types: 0
% 150.15/150.47 % sat_guarded_non_collapsed_types: 0
% 150.15/150.47 % is_epr: 0
% 150.15/150.47 % is_horn: 0
% 150.15/150.47 % has_eq: 1
% 150.15/150.47 % num_pure_diseq_elim: 0
% 150.15/150.47 % simp_replaced_by: 0
% 150.15/150.47 % res_preprocessed: 2
% 150.15/150.47 % prep_upred: 0
% 150.15/150.47 % prep_unflattend: 0
% 150.15/150.47 % pred_elim_cands: 0
% 150.15/150.47 % pred_elim: 0
% 150.15/150.47 % pred_elim_cl: 0
% 150.15/150.47 % pred_elim_cycles: 0
% 150.15/150.47 % forced_gc_time: 0
% 150.15/150.47 % gc_basic_clause_elim: 0
% 150.15/150.47 % parsing_time: 0.032
% 150.15/150.47 % sem_filter_time: 0.
% 150.15/150.47 % pred_elim_time: 0.
% 150.15/150.47 % out_proof_time: 0.
% 150.15/150.47 % monotx_time: 0.
% 150.15/150.47 % subtype_inf_time: 0.
% 150.15/150.47 % unif_index_cands_time: 0.
% 150.15/150.47 % unif_index_add_time: 0.
% 150.15/150.47 % total_time: 150.019
% 150.15/150.47 % num_of_symbols: 134
% 150.15/150.47 % num_of_terms: 2220
% 150.15/150.47
% 150.15/150.47 % ------ Propositional Solver
% 150.15/150.47
% 150.15/150.47 % prop_solver_calls: 1
% 150.15/150.47 % prop_fast_solver_calls: 3
% 150.15/150.47 % prop_num_of_clauses: 711
% 150.15/150.47 % prop_preprocess_simplified: 1813
% 150.15/150.47 % prop_fo_subsumed: 0
% 150.15/150.47 % prop_solver_time: 0.
% 150.15/150.47 % prop_fast_solver_time: 0.
% 150.15/150.47 % prop_unsat_core_time: 0.
% 150.15/150.47
% 150.15/150.47 % ------ QBF
% 150.15/150.47
% 150.15/150.47 % qbf_q_res: 0
% 150.15/150.47 % qbf_num_tautologies: 0
% 150.15/150.47 % qbf_prep_cycles: 0
% 150.15/150.47
% 150.15/150.47 % ------ BMC1
% 150.15/150.47
% 150.15/150.47 % bmc1_current_bound: -1
% 150.15/150.47 % bmc1_last_solved_bound: -1
% 150.15/150.47 % bmc1_unsat_core_size: -1
% 150.15/150.47 % bmc1_unsat_core_parents_size: -1
% 150.15/150.47 % bmc1_merge_next_fun: 0
% 150.15/150.47 % bmc1_unsat_core_clauses_time: 0.
% 150.15/150.47
% 150.15/150.47 % ------ Instantiation
% 150.15/150.47
% 150.15/150.47 % inst_num_of_clauses: 594
% 150.15/150.47 % inst_num_in_passive: 0
% 150.15/150.47 % inst_num_in_active: 0
% 150.15/150.47 % inst_num_in_unprocessed: 632
% 150.15/150.47 % inst_num_of_loops: 0
% 150.15/150.47 % inst_num_of_learning_restarts: 0
% 150.15/150.47 % inst_num_moves_active_passive: 0
% 150.15/150.47 % inst_lit_activity: 0
% 150.15/150.47 % inst_lit_activity_moves: 0
% 150.15/150.47 % inst_num_tautologies: 0
% 150.15/150.47 % inst_num_prop_implied: 0
% 150.15/150.47 % inst_num_existing_simplified: 0
% 150.15/150.47 % inst_num_eq_res_simplified: 0
% 150.15/150.47 % inst_num_child_elim: 0
% 150.15/150.47 % inst_num_of_dismatching_blockings: 0
% 150.15/150.47 % inst_num_of_non_proper_insts: 0
% 150.15/150.47 % inst_num_of_duplicates: 0
% 150.15/150.47 % inst_inst_num_from_inst_to_res: 0
% 150.15/150.47 % inst_dismatching_checking_time: 0.
% 150.15/150.47
% 150.15/150.47 % ------ Resolution
% 150.15/150.47
% 150.15/150.47 % res_num_of_clauses: 518
% 150.15/150.47 % res_num_in_passive: 0
% 150.15/150.47 % res_num_in_active: 208
% 150.15/150.47 % res_num_of_loops: 0
% 150.15/150.47 % res_forward_subset_subsumed: 307
% 150.15/150.47 % res_backward_subset_subsumed: 0
% 150.15/150.47 % res_forward_subsumed: 0
% 150.15/150.47 % res_backward_subsumed: 0
% 150.15/150.47 % res_forward_subsumption_resolution: 0
% 150.15/150.47 % res_backward_subsumption_resolution: 0
% 150.15/150.47 % res_clause_to_clause_subsumption: 0
% 150.15/150.47 % res_orphan_elimination: 0
% 150.15/150.47 % res_tautology_del: 0
% 150.15/150.47 % res_num_eq_res_simplified: 0
% 150.15/150.47 % res_num_sel_changes: 0
% 150.15/150.47 % res_moves_from_active_to_pass: 0
% 150.15/150.47
% 150.15/150.48 % Status Unknown
% 150.24/150.56 % Orienting using strategy ClausalAll
% 150.24/150.56 % Orientation found
% 150.24/150.56 % 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_09755d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_08b1a2.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_942284 | grep -v "SZS"
% 150.24/150.57
% 150.24/150.57 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.24/150.57
% 150.24/150.57 %
% 150.24/150.57 % ------ iProver source info
% 150.24/150.57
% 150.24/150.57 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.24/150.57 % git: non_committed_changes: true
% 150.24/150.57 % git: last_make_outside_of_git: true
% 150.24/150.57
% 150.24/150.57 %
% 150.24/150.57 % ------ Input Options
% 150.24/150.57
% 150.24/150.57 % --out_options all
% 150.24/150.57 % --tptp_safe_out true
% 150.24/150.57 % --problem_path ""
% 150.24/150.57 % --include_path ""
% 150.24/150.57 % --clausifier .//eprover
% 150.24/150.57 % --clausifier_options --tstp-format
% 150.24/150.57 % --stdin false
% 150.24/150.57 % --dbg_backtrace false
% 150.24/150.57 % --dbg_dump_prop_clauses false
% 150.24/150.57 % --dbg_dump_prop_clauses_file -
% 150.24/150.57 % --dbg_out_stat false
% 150.24/150.57
% 150.24/150.57 % ------ General Options
% 150.24/150.57
% 150.24/150.57 % --fof false
% 150.24/150.57 % --time_out_real 150.
% 150.24/150.57 % --time_out_prep_mult 0.2
% 150.24/150.57 % --time_out_virtual -1.
% 150.24/150.57 % --schedule none
% 150.24/150.57 % --ground_splitting input
% 150.24/150.57 % --splitting_nvd 16
% 150.24/150.57 % --non_eq_to_eq false
% 150.24/150.57 % --prep_gs_sim true
% 150.24/150.57 % --prep_unflatten false
% 150.24/150.57 % --prep_res_sim true
% 150.24/150.57 % --prep_upred true
% 150.24/150.57 % --res_sim_input true
% 150.24/150.57 % --clause_weak_htbl true
% 150.24/150.57 % --gc_record_bc_elim false
% 150.24/150.57 % --symbol_type_check false
% 150.24/150.57 % --clausify_out false
% 150.24/150.57 % --large_theory_mode false
% 150.24/150.57 % --prep_sem_filter none
% 150.24/150.57 % --prep_sem_filter_out false
% 150.24/150.57 % --preprocessed_out false
% 150.24/150.57 % --sub_typing false
% 150.24/150.57 % --brand_transform false
% 150.24/150.57 % --pure_diseq_elim true
% 150.24/150.57 % --min_unsat_core false
% 150.24/150.57 % --pred_elim true
% 150.24/150.57 % --add_important_lit false
% 150.24/150.57 % --soft_assumptions false
% 150.24/150.57 % --reset_solvers false
% 150.24/150.57 % --bc_imp_inh []
% 150.24/150.57 % --conj_cone_tolerance 1.5
% 150.24/150.57 % --prolific_symb_bound 500
% 150.24/150.57 % --lt_threshold 2000
% 150.24/150.57
% 150.24/150.57 % ------ SAT Options
% 150.24/150.57
% 150.24/150.57 % --sat_mode false
% 150.24/150.57 % --sat_fm_restart_options ""
% 150.24/150.57 % --sat_gr_def false
% 150.24/150.57 % --sat_epr_types true
% 150.24/150.57 % --sat_non_cyclic_types false
% 150.24/150.57 % --sat_finite_models false
% 150.24/150.57 % --sat_fm_lemmas false
% 150.24/150.57 % --sat_fm_prep false
% 150.24/150.57 % --sat_fm_uc_incr true
% 150.24/150.57 % --sat_out_model small
% 150.24/150.57 % --sat_out_clauses false
% 150.24/150.57
% 150.24/150.57 % ------ QBF Options
% 150.24/150.57
% 150.24/150.57 % --qbf_mode false
% 150.24/150.57 % --qbf_elim_univ true
% 150.24/150.57 % --qbf_sk_in true
% 150.24/150.57 % --qbf_pred_elim true
% 150.24/150.57 % --qbf_split 32
% 150.24/150.57
% 150.24/150.57 % ------ BMC1 Options
% 150.24/150.57
% 150.24/150.57 % --bmc1_incremental false
% 150.24/150.57 % --bmc1_axioms reachable_all
% 150.24/150.57 % --bmc1_min_bound 0
% 150.24/150.57 % --bmc1_max_bound -1
% 150.24/150.57 % --bmc1_max_bound_default -1
% 150.24/150.57 % --bmc1_symbol_reachability true
% 150.24/150.57 % --bmc1_property_lemmas false
% 150.24/150.57 % --bmc1_k_induction false
% 150.24/150.57 % --bmc1_non_equiv_states false
% 150.24/150.57 % --bmc1_deadlock false
% 150.24/150.57 % --bmc1_ucm false
% 150.24/150.57 % --bmc1_add_unsat_core none
% 150.24/150.57 % --bmc1_unsat_core_children false
% 150.24/150.57 % --bmc1_unsat_core_extrapolate_axioms false
% 150.24/150.57 % --bmc1_out_stat full
% 150.24/150.57 % --bmc1_ground_init false
% 150.24/150.57 % --bmc1_pre_inst_next_state false
% 150.24/150.57 % --bmc1_pre_inst_state false
% 150.24/150.57 % --bmc1_pre_inst_reach_state false
% 150.24/150.57 % --bmc1_out_unsat_core false
% 150.24/150.57 % --bmc1_aig_witness_out false
% 150.24/150.57 % --bmc1_verbose false
% 150.24/150.57 % --bmc1_dump_clauses_tptp false
% 151.92/152.48 % --bmc1_dump_unsat_core_tptp false
% 151.92/152.48 % --bmc1_dump_file -
% 151.92/152.48 % --bmc1_ucm_expand_uc_limit 128
% 151.92/152.48 % --bmc1_ucm_n_expand_iterations 6
% 151.92/152.48 % --bmc1_ucm_extend_mode 1
% 151.92/152.48 % --bmc1_ucm_init_mode 2
% 151.92/152.48 % --bmc1_ucm_cone_mode none
% 151.92/152.48 % --bmc1_ucm_reduced_relation_type 0
% 151.92/152.48 % --bmc1_ucm_relax_model 4
% 151.92/152.48 % --bmc1_ucm_full_tr_after_sat true
% 151.92/152.48 % --bmc1_ucm_expand_neg_assumptions false
% 151.92/152.48 % --bmc1_ucm_layered_model none
% 151.92/152.48 % --bmc1_ucm_max_lemma_size 10
% 151.92/152.48
% 151.92/152.48 % ------ AIG Options
% 151.92/152.48
% 151.92/152.48 % --aig_mode false
% 151.92/152.48
% 151.92/152.48 % ------ Instantiation Options
% 151.92/152.48
% 151.92/152.48 % --instantiation_flag true
% 151.92/152.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 151.92/152.48 % --inst_solver_per_active 750
% 151.92/152.48 % --inst_solver_calls_frac 0.5
% 151.92/152.48 % --inst_passive_queue_type priority_queues
% 151.92/152.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 151.92/152.48 % --inst_passive_queues_freq [25;2]
% 151.92/152.48 % --inst_dismatching true
% 151.92/152.48 % --inst_eager_unprocessed_to_passive true
% 151.92/152.48 % --inst_prop_sim_given true
% 151.92/152.48 % --inst_prop_sim_new false
% 151.92/152.48 % --inst_orphan_elimination true
% 151.92/152.48 % --inst_learning_loop_flag true
% 151.92/152.48 % --inst_learning_start 3000
% 151.92/152.48 % --inst_learning_factor 2
% 151.92/152.48 % --inst_start_prop_sim_after_learn 3
% 151.92/152.48 % --inst_sel_renew solver
% 151.92/152.48 % --inst_lit_activity_flag true
% 151.92/152.48 % --inst_out_proof true
% 151.92/152.48
% 151.92/152.48 % ------ Resolution Options
% 151.92/152.48
% 151.92/152.48 % --resolution_flag true
% 151.92/152.48 % --res_lit_sel kbo_max
% 151.92/152.48 % --res_to_prop_solver none
% 151.92/152.48 % --res_prop_simpl_new false
% 151.92/152.48 % --res_prop_simpl_given false
% 151.92/152.48 % --res_passive_queue_type priority_queues
% 151.92/152.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 151.92/152.48 % --res_passive_queues_freq [15;5]
% 151.92/152.48 % --res_forward_subs full
% 151.92/152.48 % --res_backward_subs full
% 151.92/152.48 % --res_forward_subs_resolution true
% 151.92/152.48 % --res_backward_subs_resolution true
% 151.92/152.48 % --res_orphan_elimination false
% 151.92/152.48 % --res_time_limit 1000.
% 151.92/152.48 % --res_out_proof true
% 151.92/152.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_09755d.s
% 151.92/152.48 % --modulo true
% 151.92/152.48
% 151.92/152.48 % ------ Combination Options
% 151.92/152.48
% 151.92/152.48 % --comb_res_mult 1000
% 151.92/152.48 % --comb_inst_mult 300
% 151.92/152.48 % ------
% 151.92/152.48
% 151.92/152.48 % ------ Parsing...% successful
% 151.92/152.48
% 151.92/152.48 % ------ 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 %
% 151.92/152.48
% 151.92/152.48 % ------ Proving...
% 151.92/152.48 % ------ Problem Properties
% 151.92/152.48
% 151.92/152.48 %
% 151.92/152.48 % EPR false
% 151.92/152.48 % Horn false
% 151.92/152.48 % Has equality true
% 151.92/152.48
% 151.92/152.48 % % ------ Input Options Time Limit: Unbounded
% 151.92/152.48
% 151.92/152.48
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 Compiling...
% 151.92/152.48 Loading plugin: done.
% 151.92/152.48 % % ------ Current options:
% 151.92/152.48
% 151.92/152.48 % ------ Input Options
% 151.92/152.48
% 151.92/152.48 % --out_options all
% 151.92/152.48 % --tptp_safe_out true
% 151.92/152.48 % --problem_path ""
% 151.92/152.48 % --include_path ""
% 151.92/152.48 % --clausifier .//eprover
% 151.92/152.48 % --clausifier_options --tstp-format
% 151.92/152.48 % --stdin false
% 151.92/152.48 % --dbg_backtrace false
% 151.92/152.48 % --dbg_dump_prop_clauses false
% 151.92/152.48 % --dbg_dump_prop_clauses_file -
% 151.92/152.48 % --dbg_out_stat false
% 151.92/152.48
% 151.92/152.48 % ------ General Options
% 151.92/152.48
% 151.92/152.48 % --fof false
% 151.92/152.48 % --time_out_real 150.
% 151.92/152.48 % --time_out_prep_mult 0.2
% 151.92/152.48 % --time_out_virtual -1.
% 151.92/152.48 % --schedule none
% 151.92/152.48 % --ground_splitting input
% 151.92/152.48 % --splitting_nvd 16
% 151.92/152.48 % --non_eq_to_eq false
% 151.92/152.48 % --prep_gs_sim true
% 151.92/152.48 % --prep_unflatten false
% 151.92/152.48 % --prep_res_sim true
% 151.92/152.48 % --prep_upred true
% 151.92/152.48 % --res_sim_input true
% 151.92/152.48 % --clause_weak_htbl true
% 151.92/152.48 % --gc_record_bc_elim false
% 151.92/152.48 % --symbol_type_check false
% 151.92/152.48 % --clausify_out false
% 151.92/152.48 % --large_theory_mode false
% 151.92/152.48 % --prep_sem_filter none
% 151.92/152.48 % --prep_sem_filter_out false
% 151.92/152.48 % --preprocessed_out false
% 151.92/152.48 % --sub_typing false
% 151.92/152.48 % --brand_transform false
% 151.92/152.48 % --pure_diseq_elim true
% 151.92/152.48 % --min_unsat_core false
% 151.92/152.48 % --pred_elim true
% 151.92/152.48 % --add_important_lit false
% 151.92/152.48 % --soft_assumptions false
% 151.92/152.48 % --reset_solvers false
% 151.92/152.48 % --bc_imp_inh []
% 151.92/152.48 % --conj_cone_tolerance 1.5
% 151.92/152.48 % --prolific_symb_bound 500
% 151.92/152.48 % --lt_threshold 2000
% 151.92/152.48
% 151.92/152.48 % ------ SAT Options
% 151.92/152.48
% 151.92/152.48 % --sat_mode false
% 151.92/152.48 % --sat_fm_restart_options ""
% 151.92/152.48 % --sat_gr_def false
% 151.92/152.48 % --sat_epr_types true
% 151.92/152.48 % --sat_non_cyclic_types false
% 151.92/152.48 % --sat_finite_models false
% 151.92/152.48 % --sat_fm_lemmas false
% 151.92/152.48 % --sat_fm_prep false
% 151.92/152.48 % --sat_fm_uc_incr true
% 151.92/152.48 % --sat_out_model small
% 151.92/152.48 % --sat_out_clauses false
% 151.92/152.48
% 151.92/152.48 % ------ QBF Options
% 151.92/152.48
% 151.92/152.48 % --qbf_mode false
% 151.92/152.48 % --qbf_elim_univ true
% 151.92/152.48 % --qbf_sk_in true
% 151.92/152.48 % --qbf_pred_elim true
% 151.92/152.48 % --qbf_split 32
% 151.92/152.48
% 151.92/152.48 % ------ BMC1 Options
% 151.92/152.48
% 151.92/152.48 % --bmc1_incremental false
% 151.92/152.48 % --bmc1_axioms reachable_all
% 151.92/152.48 % --bmc1_min_bound 0
% 151.92/152.48 % --bmc1_max_bound -1
% 151.92/152.48 % --bmc1_max_bound_default -1
% 151.92/152.48 % --bmc1_symbol_reachability true
% 151.92/152.48 % --bmc1_property_lemmas false
% 151.92/152.48 % --bmc1_k_induction false
% 151.92/152.48 % --bmc1_non_equiv_states false
% 151.92/152.48 % --bmc1_deadlock false
% 151.92/152.48 % --bmc1_ucm false
% 151.92/152.48 % --bmc1_add_unsat_core none
% 151.92/152.48 % --bmc1_unsat_core_children false
% 151.92/152.48 % --bmc1_unsat_core_extrapolate_axioms false
% 151.92/152.48 % --bmc1_out_stat full
% 151.92/152.48 % --bmc1_ground_init false
% 151.92/152.48 % --bmc1_pre_inst_next_state false
% 151.92/152.48 % --bmc1_pre_inst_state false
% 151.92/152.48 % --bmc1_pre_inst_reach_state false
% 151.92/152.48 % --bmc1_out_unsat_core false
% 151.92/152.48 % --bmc1_aig_witness_out false
% 151.92/152.48 % --bmc1_verbose false
% 151.92/152.48 % --bmc1_dump_clauses_tptp false
% 151.92/152.48 % --bmc1_dump_unsat_core_tptp false
% 151.92/152.48 % --bmc1_dump_file -
% 151.92/152.48 % --bmc1_ucm_expand_uc_limit 128
% 151.92/152.48 % --bmc1_ucm_n_expand_iterations 6
% 151.92/152.48 % --bmc1_ucm_extend_mode 1
% 151.92/152.48 % --bmc1_ucm_init_mode 2
% 151.92/152.48 % --bmc1_ucm_cone_mode none
% 151.92/152.48 % --bmc1_ucm_reduced_relation_type 0
% 151.92/152.48 % --bmc1_ucm_relax_model 4
% 151.92/152.48 % --bmc1_ucm_full_tr_after_sat true
% 151.92/152.48 % --bmc1_ucm_expand_neg_assumptions false
% 151.92/152.48 % --bmc1_ucm_layered_model none
% 151.92/152.48 % --bmc1_ucm_max_lemma_size 10
% 151.92/152.48
% 151.92/152.48 % ------ AIG Options
% 151.92/152.48
% 151.92/152.48 % --aig_mode false
% 151.92/152.48
% 151.92/152.48 % ------ Instantiation Options
% 151.92/152.48
% 151.92/152.48 % --instantiation_flag true
% 151.92/152.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 151.92/152.48 % --inst_solver_per_active 750
% 151.92/152.48 % --inst_solver_calls_frac 0.5
% 151.92/152.48 % --inst_passive_queue_type priority_queues
% 151.92/152.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 151.92/152.48 % --inst_passive_queues_freq [25;2]
% 151.92/152.48 % --inst_dismatching true
% 151.92/152.48 % --inst_eager_unprocessed_to_passive true
% 151.92/152.48 % --inst_prop_sim_given true
% 151.92/152.48 % --inst_prop_sim_new false
% 151.92/152.48 % --inst_orphan_elimination true
% 151.92/152.48 % --inst_learning_loop_flag true
% 151.92/152.48 % --inst_learning_start 3000
% 151.92/152.48 % --inst_learning_factor 2
% 151.92/152.48 % --inst_start_prop_sim_after_learn 3
% 151.92/152.48 % --inst_sel_renew solver
% 151.92/152.48 % --inst_lit_activity_flag true
% 151.92/152.48 % --inst_out_proof true
% 151.92/152.48
% 151.92/152.48 % ------ Resolution Options
% 151.92/152.48
% 151.92/152.48 % --resolution_flag true
% 151.92/152.48 % --res_lit_sel kbo_max
% 151.92/152.48 % --res_to_prop_solver none
% 151.92/152.48 % --res_prop_simpl_new false
% 151.92/152.48 % --res_prop_simpl_given false
% 151.92/152.48 % --res_passive_queue_type priority_queues
% 151.92/152.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 151.92/152.48 % --res_passive_queues_freq [15;5]
% 151.92/152.48 % --res_forward_subs full
% 151.92/152.48 % --res_backward_subs full
% 151.92/152.48 % --res_forward_subs_resolution true
% 151.92/152.48 % --res_backward_subs_resolution true
% 151.92/152.48 % --res_orphan_elimination false
% 151.92/152.48 % --res_time_limit 1000.
% 151.92/152.48 % --res_out_proof true
% 151.92/152.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_09755d.s
% 151.92/152.48 % --modulo true
% 151.92/152.48
% 151.92/152.48 % ------ Combination Options
% 151.92/152.48
% 151.92/152.48 % --comb_res_mult 1000
% 151.92/152.48 % --comb_inst_mult 300
% 151.92/152.48 % ------
% 151.92/152.48
% 151.92/152.48
% 151.92/152.48
% 151.92/152.48 % ------ Proving...
% 151.92/152.48 %
% 151.92/152.48
% 151.92/152.48
% 151.92/152.48 % Resolution empty clause
% 151.92/152.48
% 151.92/152.48 % ------ Statistics
% 151.92/152.48
% 151.92/152.48 % ------ General
% 151.92/152.48
% 151.92/152.48 % num_of_input_clauses: 632
% 151.92/152.48 % num_of_input_neg_conjectures: 1
% 151.92/152.48 % num_of_splits: 0
% 151.92/152.48 % num_of_split_atoms: 0
% 151.92/152.48 % num_of_sem_filtered_clauses: 0
% 151.92/152.48 % num_of_subtypes: 0
% 151.92/152.48 % monotx_restored_types: 0
% 151.92/152.48 % sat_num_of_epr_types: 0
% 151.92/152.48 % sat_num_of_non_cyclic_types: 0
% 151.92/152.48 % sat_guarded_non_collapsed_types: 0
% 151.92/152.48 % is_epr: 0
% 151.92/152.48 % is_horn: 0
% 151.92/152.48 % has_eq: 1
% 151.92/152.48 % num_pure_diseq_elim: 0
% 151.92/152.48 % simp_replaced_by: 0
% 151.92/152.48 % res_preprocessed: 2
% 151.92/152.48 % prep_upred: 0
% 151.92/152.48 % prep_unflattend: 0
% 151.92/152.48 % pred_elim_cands: 0
% 151.92/152.48 % pred_elim: 0
% 151.92/152.48 % pred_elim_cl: 0
% 151.92/152.48 % pred_elim_cycles: 0
% 151.92/152.48 % forced_gc_time: 0
% 151.92/152.48 % gc_basic_clause_elim: 0
% 151.92/152.48 % parsing_time: 0.014
% 151.92/152.48 % sem_filter_time: 0.
% 151.92/152.48 % pred_elim_time: 0.
% 151.92/152.48 % out_proof_time: 0.
% 151.92/152.48 % monotx_time: 0.
% 151.92/152.48 % subtype_inf_time: 0.
% 151.92/152.48 % unif_index_cands_time: 0.
% 151.92/152.48 % unif_index_add_time: 0.
% 151.92/152.48 % total_time: 1.915
% 151.92/152.48 % num_of_symbols: 134
% 151.92/152.48 % num_of_terms: 2035
% 151.92/152.48
% 151.92/152.48 % ------ Propositional Solver
% 151.92/152.48
% 151.92/152.48 % prop_solver_calls: 1
% 151.92/152.48 % prop_fast_solver_calls: 3
% 151.92/152.48 % prop_num_of_clauses: 691
% 151.92/152.48 % prop_preprocess_simplified: 1833
% 151.92/152.48 % prop_fo_subsumed: 0
% 151.92/152.48 % prop_solver_time: 0.
% 151.92/152.48 % prop_fast_solver_time: 0.
% 151.92/152.48 % prop_unsat_core_time: 0.
% 151.92/152.48
% 151.92/152.48 % ------ QBF
% 151.92/152.48
% 151.92/152.48 % qbf_q_res: 0
% 151.92/152.48 % qbf_num_tautologies: 0
% 151.92/152.48 % qbf_prep_cycles: 0
% 151.92/152.48
% 151.92/152.48 % ------ BMC1
% 151.92/152.48
% 151.92/152.48 % bmc1_current_bound: -1
% 151.92/152.48 % bmc1_last_solved_bound: -1
% 151.92/152.48 % bmc1_unsat_core_size: -1
% 151.92/152.48 % bmc1_unsat_core_parents_size: -1
% 151.92/152.48 % bmc1_merge_next_fun: 0
% 151.92/152.48 % bmc1_unsat_core_clauses_time: 0.
% 151.92/152.48
% 151.92/152.48 % ------ Instantiation
% 151.92/152.48
% 151.92/152.48 % inst_num_of_clauses: 583
% 151.92/152.48 % inst_num_in_passive: 0
% 151.92/152.48 % inst_num_in_active: 0
% 151.92/152.48 % inst_num_in_unprocessed: 632
% 151.92/152.48 % inst_num_of_loops: 0
% 151.92/152.48 % inst_num_of_learning_restarts: 0
% 151.92/152.48 % inst_num_moves_active_passive: 0
% 151.92/152.48 % inst_lit_activity: 0
% 151.92/152.48 % inst_lit_activity_moves: 0
% 151.92/152.48 % inst_num_tautologies: 0
% 151.92/152.48 % inst_num_prop_implied: 0
% 151.92/152.48 % inst_num_existing_simplified: 0
% 151.92/152.48 % inst_num_eq_res_simplified: 0
% 151.92/152.48 % inst_num_child_elim: 0
% 151.92/152.48 % inst_num_of_dismatching_blockings: 0
% 151.92/152.48 % inst_num_of_non_proper_insts: 0
% 151.92/152.48 % inst_num_of_duplicates: 0
% 151.92/152.48 % inst_inst_num_from_inst_to_res: 0
% 151.92/152.48 % inst_dismatching_checking_time: 0.
% 151.92/152.48
% 151.92/152.48 % ------ Resolution
% 151.92/152.48
% 151.92/152.48 % res_num_of_clauses: 629
% 151.92/152.48 % res_num_in_passive: 0
% 151.92/152.48 % res_num_in_active: 226
% 151.92/152.48 % res_num_of_loops: 1
% 151.92/152.48 % res_forward_subset_subsumed: 311
% 151.92/152.48 % res_backward_subset_subsumed: 0
% 151.92/152.48 % res_forward_subsumed: 0
% 151.92/152.48 % res_backward_subsumed: 0
% 151.92/152.48 % res_forward_subsumption_resolution: 1
% 151.92/152.48 % res_backward_subsumption_resolution: 0
% 151.92/152.48 % res_clause_to_clause_subsumption: 1
% 151.92/152.48 % res_orphan_elimination: 0
% 151.92/152.48 % res_tautology_del: 0
% 151.92/152.48 % res_num_eq_res_simplified: 0
% 151.92/152.48 % res_num_sel_changes: 0
% 151.92/152.48 % res_moves_from_active_to_pass: 0
% 151.92/152.48
% 151.92/152.48 % Status Unsatisfiable
% 151.92/152.48 % SZS status Unsatisfiable
% 151.92/152.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------