TSTP Solution File: SWV837-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV837-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.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 : Wed Jul 20 19:22:23 EDT 2022
% Result : Unsatisfiable 5.12s 6.04s
% Output : CNFRefutation 5.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(V_x,V_x,T_a),
input ).
fof(cls_ATP__Linkup_Oequal__imp__fequal_0_0,plain,
! [T_a,V_x] :
( c_fequal(V_x,V_x,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0]) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
input ).
fof(clsarity_bool__HOL_Oord_0,plain,
( class_HOL_Oord(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__HOL_Oord]) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
input ).
fof(clsarity_bool__Orderings_Obot_0,plain,
( class_Orderings_Obot(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Orderings_Obot]) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
input ).
fof(clsarity_bool__Orderings_Otop_0,plain,
( class_Orderings_Otop(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Orderings_Otop]) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
input ).
fof(clsarity_bool__Orderings_Oorder_0,plain,
( class_Orderings_Oorder(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Orderings_Oorder]) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
input ).
fof(clsarity_bool__Lattices_Olattice_0,plain,
( class_Lattices_Olattice(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olattice]) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
input ).
fof(clsarity_bool__Orderings_Opreorder_0,plain,
( class_Orderings_Opreorder(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Orderings_Opreorder]) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
input ).
fof(clsarity_bool__Finite__Set_Ofinite_Ofinite_0,plain,
( class_Finite__Set_Ofinite_Ofinite(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite]) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
input ).
fof(clsarity_bool__Lattices_Oboolean__algebra_0,plain,
( class_Lattices_Oboolean__algebra(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra]) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
input ).
fof(clsarity_bool__Lattices_Obounded__lattice_0,plain,
( class_Lattices_Obounded__lattice(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice]) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
input ).
fof(clsarity_bool__Lattices_Odistrib__lattice_0,plain,
( class_Lattices_Odistrib__lattice(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Lattices_Odistrib__lattice]) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
input ).
fof(clsarity_bool__Lattices_Olower__semilattice_0,plain,
( class_Lattices_Olower__semilattice(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olower__semilattice]) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
input ).
fof(clsarity_bool__Lattices_Oupper__semilattice_0,plain,
( class_Lattices_Oupper__semilattice(tc_bool)
| $false ),
inference(orientation,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice]) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)),
input ).
fof(cls_equalityE_0_0,plain,
! [T_a,V_x] :
( c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_equalityE_0]) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_subset__refl_0_0,plain,
! [T_a,V_A] :
( c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_subset__refl_0]) ).
cnf(cls_empty_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
input ).
fof(cls_empty_0_0,plain,
! [T_a,V_G] :
( c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_empty_0]) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__subset_0_0,plain,
! [T_a,V_A,V_B] :
( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__subset_0]) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__upper1_0_0,plain,
! [T_a,V_A,V_B] :
( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__upper1_0]) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__upper2_0_0,plain,
! [T_a,V_A,V_B] :
( c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__upper2_0]) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_empty__subsetI_0_0,plain,
! [T_a,V_A] :
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_empty__subsetI_0]) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
input ).
fof(cls_subset__insertI_0_0,plain,
! [T_a,V_B,V_a] :
( c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_subset__insertI_0]) ).
cnf(cls_subset__empty_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_subset__empty_1_0,plain,
! [T_a] :
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_subset__empty_1]) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__lower1_0_0,plain,
! [T_a,V_A,V_B] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__lower1_0]) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__lower2_0_0,plain,
! [T_a,V_A,V_B] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__lower2_0]) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_subset__UNIV_0_0,plain,
! [T_a,V_A] :
( c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_subset__UNIV_0]) ).
cnf(cls_vimage__empty_0,axiom,
c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__empty_0_0,plain,
! [T_a,T_b,V_f] :
( c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__empty_0]) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),
input ).
fof(cls_image__Un_0_0,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_image__Un_0]) ).
cnf(cls_Un__empty_2,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__empty_2_0,plain,
! [T_a] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__empty_2]) ).
cnf(cls_Diff__Int_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__Int_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__Int_0]) ).
cnf(cls_vimage__insert_0,axiom,
c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__insert_0_0,plain,
! [T_a,T_b,V_B,V_a,V_f] :
( c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__insert_0]) ).
cnf(cls_singleton__iff_1,axiom,
c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),
input ).
fof(cls_singleton__iff_1_0,plain,
! [T_a,V_x] :
( c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_singleton__iff_1]) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__Diff_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__Diff_0]) ).
cnf(cls_Diff__Un_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__Un_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__Un_0]) ).
cnf(cls_Int__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_Int__absorb_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_Int__absorb_0]) ).
cnf(cls_Int__left__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__left__absorb_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__left__absorb_0]) ).
cnf(cls_Compl__empty__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__empty__eq_0_0,plain,
! [T_a] :
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__empty__eq_0]) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
input ).
fof(cls_insert__code_1_0,plain,
! [T_a,V_A,V_x] :
( hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x))
| $false ),
inference(orientation,[status(thm)],[cls_insert__code_1]) ).
cnf(cls_Un__Int__distrib2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__Int__distrib2_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__Int__distrib2_0]) ).
cnf(cls_Un__Int__distrib_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__Int__distrib_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__Int__distrib_0]) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__UNIV_0_0,plain,
! [T_a,V_A] :
( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__UNIV_0]) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
input ).
fof(cls_image__insert_0_0,plain,
! [T_a,T_b,V_B,V_a,V_f] :
( c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_image__insert_0]) ).
cnf(cls_ex__in__conv_0,axiom,
~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_ex__in__conv_0_0,plain,
! [T_a,V_x] :
( ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_ex__in__conv_0]) ).
cnf(cls_empty__iff_0,axiom,
~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_empty__iff_0_0,plain,
! [T_a,V_c] :
( ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_empty__iff_0]) ).
cnf(cls_emptyE_0,axiom,
~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_emptyE_0_0,plain,
! [T_a,V_a] :
( ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_emptyE_0]) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
input ).
fof(cls_empty__not__insert_0_0,plain,
! [T_a,V_A,V_a] :
( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_empty__not__insert_0]) ).
cnf(cls_Un__Diff__Int_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_Un__Diff__Int_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_Un__Diff__Int_0]) ).
cnf(cls_vimage__Int_0,axiom,
c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__Int_0_0,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__Int_0]) ).
cnf(cls_double__complement_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_double__complement_0_0,plain,
! [T_a,V_A] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_double__complement_0]) ).
cnf(cls_Diff__Compl_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__Compl_0_0,plain,
! [T_a,V_A,V_B] :
( c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__Compl_0]) ).
cnf(cls_vimage__Un_0,axiom,
c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__Un_0_0,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__Un_0]) ).
cnf(cls_Diff__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__disjoint_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__disjoint_0]) ).
cnf(cls_Compl__Un_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__Un_0_0,plain,
! [T_a,V_A,V_B] :
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__Un_0]) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)),
input ).
fof(cls_top1I_0_0,plain,
! [T_a,V_x] :
( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x))
| $false ),
inference(orientation,[status(thm)],[cls_top1I_0]) ).
cnf(cls_psubset__eq_1,axiom,
~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
input ).
fof(cls_psubset__eq_1_0,plain,
! [T_a,V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_psubset__eq_1]) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__Int2_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__Int2_0]) ).
cnf(cls_image__vimage__eq_0,axiom,
c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)),
input ).
fof(cls_image__vimage__eq_0_0,plain,
! [T_a,T_b,V_A,V_f] :
( c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_image__vimage__eq_0]) ).
cnf(cls_Int__UNIV__right_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_Int__UNIV__right_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_Int__UNIV__right_0]) ).
cnf(cls_Int__UNIV__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
input ).
fof(cls_Int__UNIV__left_0_0,plain,
! [T_a,V_B] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B
| $false ),
inference(orientation,[status(thm)],[cls_Int__UNIV__left_0]) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_UNIV__not__empty_0_0,plain,
! [T_a] :
( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_UNIV__not__empty_0]) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__Int__distrib2_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__Int__distrib2_0]) ).
cnf(cls_Diff__Int__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__Int__distrib_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__Int__distrib_0]) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
input ).
fof(cls_bot1E_0_0,plain,
! [T_a,V_x] :
( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x))
| $false ),
inference(orientation,[status(thm)],[cls_bot1E_0]) ).
cnf(cls_Compl__UNIV__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__UNIV__eq_0_0,plain,
! [T_a] :
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__UNIV__eq_0]) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_empty__Diff_0_0,plain,
! [T_a,V_A] :
( c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_empty__Diff_0]) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_Un__empty__right_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_Un__empty__right_0]) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
input ).
fof(cls_Un__empty__left_0_0,plain,
! [T_a,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B
| $false ),
inference(orientation,[status(thm)],[cls_Un__empty__left_0]) ).
cnf(cls_Int__left__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__left__commute_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__left__commute_0]) ).
cnf(cls_Int__assoc_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__assoc_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__assoc_0]) ).
cnf(cls_not__psubset__empty_0,axiom,
~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_not__psubset__empty_0_0,plain,
! [T_a,V_A] :
( ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_not__psubset__empty_0]) ).
cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__eq__Diff__UNIV_0_0,plain,
! [T_a,V_A] :
( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__eq__Diff__UNIV_0]) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__cancel_0_0,plain,
! [T_a,V_A] :
( c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__cancel_0]) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_Diff__empty_0_0,plain,
! [T_a,V_A] :
( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_Diff__empty_0]) ).
cnf(cls_UNIV__I_0,axiom,
c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_UNIV__I_0_0,plain,
! [T_a,V_x] :
( c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_UNIV__I_0]) ).
cnf(cls_image__Int__subset_0,axiom,
c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_image__Int__subset_0_0,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_image__Int__subset_0]) ).
cnf(cls_finite_OemptyI_0,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_finite_OemptyI_0_0,plain,
! [T_a] :
( c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_finite_OemptyI_0]) ).
cnf(cls_Int__empty__right_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__empty__right_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__empty__right_0]) ).
cnf(cls_Int__empty__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__empty__left_0_0,plain,
! [T_a,V_B] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__empty__left_0]) ).
cnf(cls_subset__Compl__self__eq_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_subset__Compl__self__eq_1_0,plain,
! [T_a] :
( c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_subset__Compl__self__eq_1]) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a),
input ).
fof(cls_insert__absorb2_0_0,plain,
! [T_a,V_A,V_x] :
( c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insert__absorb2_0]) ).
cnf(cls_insert__inter__insert_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_insert__inter__insert_0_0,plain,
! [T_a,V_A,V_B,V_a] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insert__inter__insert_0]) ).
cnf(cls_vimage__singleton__eq_1,axiom,
c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa),
input ).
fof(cls_vimage__singleton__eq_1_0,plain,
! [T_a,T_aa,V_a,V_f] :
( c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)
| $false ),
inference(orientation,[status(thm)],[cls_vimage__singleton__eq_1]) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_insert__not__empty_0_0,plain,
! [T_a,V_A,V_a] :
( c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_insert__not__empty_0]) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__insert2_0_0,plain,
! [T_a,V_A,V_B,V_a] :
( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__insert2_0]) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__insert_0_0,plain,
! [T_a,V_A,V_B,V_a] :
( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__insert_0]) ).
cnf(cls_Compl__Diff__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__Diff__eq_0_0,plain,
! [T_a,V_A,V_B] :
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__Diff__eq_0]) ).
cnf(cls_Un__UNIV__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__UNIV__right_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__UNIV__right_0]) ).
cnf(cls_Un__UNIV__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__UNIV__left_0_0,plain,
! [T_a,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__UNIV__left_0]) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a),
input ).
fof(cls_empty__is__image_1_0,plain,
! [T_a,T_b,V_f] :
( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_empty__is__image_1]) ).
cnf(cls_Un__left__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__left__absorb_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__left__absorb_0]) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_insert__is__Un_0_0,plain,
! [T_a,V_A,V_a] :
( c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_insert__is__Un_0]) ).
cnf(cls_Compl__Int_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__Int_0_0,plain,
! [T_a,V_A,V_B] :
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__Int_0]) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__commute_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__commute_0]) ).
cnf(cls_Un__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__Diff_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__Diff_0]) ).
cnf(cls_Un__Diff__cancel_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__Diff__cancel_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__Diff__cancel_0]) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__Diff__cancel2_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__Diff__cancel2_0]) ).
cnf(cls_vimage__Compl_0,axiom,
c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__Compl_0_0,plain,
! [T_a,T_b,V_A,V_f] :
( c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__Compl_0]) ).
cnf(cls_Compl__partition_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__partition_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__partition_0]) ).
cnf(cls_Compl__partition2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__partition2_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__partition2_0]) ).
cnf(cls_Un__Int__crazy_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__Int__crazy_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__Int__crazy_0]) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a),
input ).
fof(cls_insert__Diff__single_0_0,plain,
! [T_a,V_A,V_a] :
( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insert__Diff__single_0]) ).
cnf(cls_Int__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__commute_0_0,plain,
! [T_a,V_A,V_B] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__commute_0]) ).
cnf(cls_Un__assoc_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__assoc_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__assoc_0]) ).
cnf(cls_Un__left__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Un__left__commute_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Un__left__commute_0]) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),
input ).
fof(cls_inj__on__empty_0_0,plain,
! [T_a,T_b,V_f] :
( c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b)
| $false ),
inference(orientation,[status(thm)],[cls_inj__on__empty_0]) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)),
input ).
fof(cls_image__diff__subset_0_0,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_image__diff__subset_0]) ).
cnf(cls_Diff__eq_0,axiom,
c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__eq_0_0,plain,
! [T_a,V_A,V_B] :
( c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__eq_0]) ).
cnf(cls_image__empty_0,axiom,
c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_image__empty_0_0,plain,
! [T_a,T_b,V_f] :
( c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_image__empty_0]) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),
input ).
fof(cls_doubleton__eq__iff_4_0,plain,
! [T_a,V_x,V_xa] :
( c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_doubleton__eq__iff_4]) ).
cnf(cls_rangeI_0,axiom,
c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a),
input ).
fof(cls_rangeI_0_0,plain,
! [T_a,T_b,V_f,V_x] :
( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_rangeI_0]) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),
input ).
fof(cls_Diff__idemp_0_0,plain,
! [T_a,V_A,V_B] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Diff__idemp_0]) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a),
input ).
fof(cls_insert__commute_0_0,plain,
! [T_a,V_A,V_x,V_y] :
( c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insert__commute_0]) ).
cnf(cls_insertCI_1,axiom,
c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a),
input ).
fof(cls_insertCI_1_0,plain,
! [T_a,V_B,V_x] :
( c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insertCI_1]) ).
cnf(cls_insertI1_0,axiom,
c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a),
input ).
fof(cls_insertI1_0_0,plain,
! [T_a,V_B,V_a] :
( c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insertI1_0]) ).
cnf(cls_insert__iff_1,axiom,
c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a),
input ).
fof(cls_insert__iff_1_0,plain,
! [T_a,V_A,V_x] :
( c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_insert__iff_1]) ).
cnf(cls_vimage__UNIV_0,axiom,
c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__UNIV_0_0,plain,
! [T_a,T_b,V_f] :
( c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__UNIV_0]) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)),
input ).
fof(cls_image__vimage__subset_0_0,plain,
! [T_a,T_b,V_A,V_f] :
( c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_image__vimage__subset_0]) ).
cnf(cls_vimage__Diff_0,axiom,
c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
input ).
fof(cls_vimage__Diff_0_0,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_vimage__Diff_0]) ).
cnf(cls_Un__insert__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_Un__insert__right_0_0,plain,
! [T_a,V_A,V_B,V_a] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Un__insert__right_0]) ).
cnf(cls_Un__insert__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a),
input ).
fof(cls_Un__insert__left_0_0,plain,
! [T_a,V_B,V_C,V_a] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Un__insert__left_0]) ).
cnf(cls_Compl__disjoint2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__disjoint2_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__disjoint2_0]) ).
cnf(cls_Compl__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
input ).
fof(cls_Compl__disjoint_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Compl__disjoint_0]) ).
cnf(cls_Int__Un__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__Un__distrib2_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__Un__distrib2_0]) ).
cnf(cls_Int__Un__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
input ).
fof(cls_Int__Un__distrib_0_0,plain,
! [T_a,V_A,V_B,V_C] :
( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
| $false ),
inference(orientation,[status(thm)],[cls_Int__Un__distrib_0]) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
input ).
fof(cls_Un__absorb_0_0,plain,
! [T_a,V_A] :
( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A
| $false ),
inference(orientation,[status(thm)],[cls_Un__absorb_0]) ).
fof(def_lhs_atom1,axiom,
! [V_A,T_a] :
( lhs_atom1(V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [T_a,V_A] :
( lhs_atom1(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__absorb_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom2(V_C,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom2(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__Un__distrib_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom3(V_C,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom3(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__Un__distrib2_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_A,T_a] :
( lhs_atom4(V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [T_a,V_A] :
( lhs_atom4(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__disjoint_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_A,T_a] :
( lhs_atom5(V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [T_a,V_A] :
( lhs_atom5(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__disjoint2_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_a,V_C,V_B,T_a] :
( lhs_atom6(V_a,V_C,V_B,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [T_a,V_B,V_C,V_a] :
( lhs_atom6(V_a,V_C,V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__insert__left_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_a,V_B,V_A,T_a] :
( lhs_atom7(V_a,V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [T_a,V_A,V_B,V_a] :
( lhs_atom7(V_a,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__insert__right_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_f,V_B,V_A,T_b,T_a] :
( lhs_atom8(V_f,V_B,V_A,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( lhs_atom8(V_f,V_B,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__Diff_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_f,V_A,T_b,T_a] :
( lhs_atom9(V_f,V_A,T_b,T_a)
<=> c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [T_a,T_b,V_A,V_f] :
( lhs_atom9(V_f,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__vimage__subset_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_f,T_b,T_a] :
( lhs_atom10(V_f,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [T_a,T_b,V_f] :
( lhs_atom10(V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__UNIV_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_x,V_A,T_a] :
( lhs_atom11(V_x,V_A,T_a)
<=> c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [T_a,V_A,V_x] :
( lhs_atom11(V_x,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__iff_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V_a,V_B,T_a] :
( lhs_atom12(V_a,V_B,T_a)
<=> c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [T_a,V_B,V_a] :
( lhs_atom12(V_a,V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insertI1_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V_x,V_B,T_a] :
( lhs_atom13(V_x,V_B,T_a)
<=> c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [T_a,V_B,V_x] :
( lhs_atom13(V_x,V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insertCI_1_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V_y,V_x,V_A,T_a] :
( lhs_atom14(V_y,V_x,V_A,T_a)
<=> c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [T_a,V_A,V_x,V_y] :
( lhs_atom14(V_y,V_x,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__commute_0_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V_B,V_A,T_a] :
( lhs_atom15(V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [T_a,V_A,V_B] :
( lhs_atom15(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__idemp_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V_x,V_f,T_b,T_a] :
( lhs_atom16(V_x,V_f,T_b,T_a)
<=> c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [T_a,T_b,V_f,V_x] :
( lhs_atom16(V_x,V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_rangeI_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V_xa,V_x,T_a] :
( lhs_atom17(V_xa,V_x,T_a)
<=> c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [T_a,V_x,V_xa] :
( lhs_atom17(V_xa,V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_doubleton__eq__iff_4_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V_f,T_b,T_a] :
( lhs_atom18(V_f,T_b,T_a)
<=> c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [T_a,T_b,V_f] :
( lhs_atom18(V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__empty_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [V_B,V_A,T_a] :
( lhs_atom19(V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [T_a,V_A,V_B] :
( lhs_atom19(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__eq_0_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V_f,V_B,V_A,T_b,T_a] :
( lhs_atom20(V_f,V_B,V_A,T_b,T_a)
<=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( lhs_atom20(V_f,V_B,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__diff__subset_0_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V_f,T_b,T_a] :
( lhs_atom21(V_f,T_b,T_a)
<=> c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [T_a,T_b,V_f] :
( lhs_atom21(V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_inj__on__empty_0_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom22(V_C,V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom22(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__left__commute_0_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom23(V_C,V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom23(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__assoc_0_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [V_B,V_A,T_a] :
( lhs_atom24(V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [T_a,V_A,V_B] :
( lhs_atom24(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__commute_0_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [V_a,V_A,T_a] :
( lhs_atom25(V_a,V_A,T_a)
<=> c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [T_a,V_A,V_a] :
( lhs_atom25(V_a,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__Diff__single_0_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom26(V_C,V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom26(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Int__crazy_0_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [V_A,T_a] :
( lhs_atom27(V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [T_a,V_A] :
( lhs_atom27(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__partition2_0_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [V_A,T_a] :
( lhs_atom28(V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [T_a,V_A] :
( lhs_atom28(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__partition_0_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [V_f,V_A,T_b,T_a] :
( lhs_atom29(V_f,V_A,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [T_a,T_b,V_A,V_f] :
( lhs_atom29(V_f,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__Compl_0_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [V_B,V_A,T_a] :
( lhs_atom30(V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [T_a,V_A,V_B] :
( lhs_atom30(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel2_0_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [V_B,V_A,T_a] :
( lhs_atom31(V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [T_a,V_A,V_B] :
( lhs_atom31(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel_0_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom32(V_C,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom32(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Diff_0_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [V_B,V_A,T_a] :
( lhs_atom33(V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [T_a,V_A,V_B] :
( lhs_atom33(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__commute_0_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [V_B,V_A,T_a] :
( lhs_atom34(V_B,V_A,T_a)
<=> c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
! [T_a,V_A,V_B] :
( lhs_atom34(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__Int_0_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [V_a,V_A,T_a] :
( lhs_atom35(V_a,V_A,T_a)
<=> c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [T_a,V_A,V_a] :
( lhs_atom35(V_a,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__is__Un_0_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
! [V_B,V_A,T_a] :
( lhs_atom36(V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [T_a,V_A,V_B] :
( lhs_atom36(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__left__absorb_0_0,def_lhs_atom36]) ).
fof(to_be_clausified_36,plain,
! [T_a,T_b,V_f] :
( lhs_atom18(V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty__is__image_1_0,def_lhs_atom18]) ).
fof(def_lhs_atom37,axiom,
! [V_B,T_a] :
( lhs_atom37(V_B,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [T_a,V_B] :
( lhs_atom37(V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__UNIV__left_0_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
! [V_A,T_a] :
( lhs_atom38(V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [T_a,V_A] :
( lhs_atom38(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__UNIV__right_0_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [V_B,V_A,T_a] :
( lhs_atom39(V_B,V_A,T_a)
<=> c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
! [T_a,V_A,V_B] :
( lhs_atom39(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__Diff__eq_0_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [V_a,V_B,V_A,T_a] :
( lhs_atom40(V_a,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
! [T_a,V_A,V_B,V_a] :
( lhs_atom40(V_a,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__insert_0_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V_a,V_B,V_A,T_a] :
( lhs_atom41(V_a,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
! [T_a,V_A,V_B,V_a] :
( lhs_atom41(V_a,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__insert2_0_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [V_a,V_A,T_a] :
( lhs_atom42(V_a,V_A,T_a)
<=> c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_42,plain,
! [T_a,V_A,V_a] :
( lhs_atom42(V_a,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__not__empty_0_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [V_f,V_a,T_aa,T_a] :
( lhs_atom43(V_f,V_a,T_aa,T_a)
<=> c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
! [T_a,T_aa,V_a,V_f] :
( lhs_atom43(V_f,V_a,T_aa,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__singleton__eq_1_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [V_a,V_B,V_A,T_a] :
( lhs_atom44(V_a,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_44,plain,
! [T_a,V_A,V_B,V_a] :
( lhs_atom44(V_a,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__inter__insert_0_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
! [V_x,V_A,T_a] :
( lhs_atom45(V_x,V_A,T_a)
<=> c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
! [T_a,V_A,V_x] :
( lhs_atom45(V_x,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__absorb2_0_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
! [T_a] :
( lhs_atom46(T_a)
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_46,plain,
! [T_a] :
( lhs_atom46(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_subset__Compl__self__eq_1_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
! [V_B,T_a] :
( lhs_atom47(V_B,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
! [T_a,V_B] :
( lhs_atom47(V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__empty__left_0_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [V_A,T_a] :
( lhs_atom48(V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
! [T_a,V_A] :
( lhs_atom48(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__empty__right_0_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [T_a] :
( lhs_atom49(T_a)
<=> c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_49,plain,
! [T_a] :
( lhs_atom49(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_finite_OemptyI_0_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
! [V_f,V_B,V_A,T_b,T_a] :
( lhs_atom50(V_f,V_B,V_A,T_b,T_a)
<=> c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_50,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( lhs_atom50(V_f,V_B,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__Int__subset_0_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
! [V_x,T_a] :
( lhs_atom51(V_x,T_a)
<=> c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
! [T_a,V_x] :
( lhs_atom51(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_UNIV__I_0_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
! [V_A,T_a] :
( lhs_atom52(V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
! [T_a,V_A] :
( lhs_atom52(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__empty_0_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
! [V_A,T_a] :
( lhs_atom53(V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
! [T_a,V_A] :
( lhs_atom53(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__cancel_0_0,def_lhs_atom53]) ).
fof(def_lhs_atom54,axiom,
! [V_A,T_a] :
( lhs_atom54(V_A,T_a)
<=> c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_54,plain,
! [T_a,V_A] :
( lhs_atom54(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__eq__Diff__UNIV_0_0,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
! [V_A,T_a] :
( lhs_atom55(V_A,T_a)
<=> ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
! [T_a,V_A] :
( lhs_atom55(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__psubset__empty_0_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom56(V_C,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_56,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom56(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__assoc_0_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom57(V_C,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom57(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__left__commute_0_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
! [V_B,T_a] :
( lhs_atom58(V_B,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
! [T_a,V_B] :
( lhs_atom58(V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__empty__left_0_0,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
! [V_A,T_a] :
( lhs_atom59(V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
! [T_a,V_A] :
( lhs_atom59(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__empty__right_0_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
! [V_A,T_a] :
( lhs_atom60(V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
! [T_a,V_A] :
( lhs_atom60(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty__Diff_0_0,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
! [T_a] :
( lhs_atom61(T_a)
<=> c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_61,plain,
! [T_a] :
( lhs_atom61(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__UNIV__eq_0_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
! [V_x,T_a] :
( lhs_atom62(V_x,T_a)
<=> ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ),
inference(definition,[],]) ).
fof(to_be_clausified_62,plain,
! [T_a,V_x] :
( lhs_atom62(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_bot1E_0_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom63(V_C,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_63,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom63(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__Int__distrib_0_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom64(V_C,V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_64,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom64(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__Int__distrib2_0_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
! [T_a] :
( lhs_atom65(T_a)
<=> c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_65,plain,
! [T_a] :
( lhs_atom65(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_UNIV__not__empty_0_0,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
! [V_B,T_a] :
( lhs_atom66(V_B,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ),
inference(definition,[],]) ).
fof(to_be_clausified_66,plain,
! [T_a,V_B] :
( lhs_atom66(V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__UNIV__left_0_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
! [V_A,T_a] :
( lhs_atom67(V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_67,plain,
! [T_a,V_A] :
( lhs_atom67(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__UNIV__right_0_0,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
! [V_f,V_A,T_b,T_a] :
( lhs_atom68(V_f,V_A,T_b,T_a)
<=> c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_68,plain,
! [T_a,T_b,V_A,V_f] :
( lhs_atom68(V_f,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__vimage__eq_0_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom69(V_C,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_69,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom69(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__Int2_0_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
! [V_x,T_a] :
( lhs_atom70(V_x,T_a)
<=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_70,plain,
! [T_a,V_x] :
( lhs_atom70(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_psubset__eq_1_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
! [V_x,T_a] :
( lhs_atom71(V_x,T_a)
<=> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ),
inference(definition,[],]) ).
fof(to_be_clausified_71,plain,
! [T_a,V_x] :
( lhs_atom71(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_top1I_0_0,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
! [V_B,V_A,T_a] :
( lhs_atom72(V_B,V_A,T_a)
<=> c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_72,plain,
! [T_a,V_A,V_B] :
( lhs_atom72(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__Un_0_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
! [V_B,V_A,T_a] :
( lhs_atom73(V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_73,plain,
! [T_a,V_A,V_B] :
( lhs_atom73(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__disjoint_0_0,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
! [V_f,V_B,V_A,T_b,T_a] :
( lhs_atom74(V_f,V_B,V_A,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_74,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( lhs_atom74(V_f,V_B,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__Un_0_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
! [V_B,V_A,T_a] :
( lhs_atom75(V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_75,plain,
! [T_a,V_A,V_B] :
( lhs_atom75(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__Compl_0_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
! [V_A,T_a] :
( lhs_atom76(V_A,T_a)
<=> c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_76,plain,
! [T_a,V_A] :
( lhs_atom76(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_double__complement_0_0,def_lhs_atom76]) ).
fof(def_lhs_atom77,axiom,
! [V_f,V_B,V_A,T_b,T_a] :
( lhs_atom77(V_f,V_B,V_A,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_77,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( lhs_atom77(V_f,V_B,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__Int_0_0,def_lhs_atom77]) ).
fof(def_lhs_atom78,axiom,
! [V_B,V_A,T_a] :
( lhs_atom78(V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_78,plain,
! [T_a,V_A,V_B] :
( lhs_atom78(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Diff__Int_0_0,def_lhs_atom78]) ).
fof(def_lhs_atom79,axiom,
! [V_a,V_A,T_a] :
( lhs_atom79(V_a,V_A,T_a)
<=> c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_79,plain,
! [T_a,V_A,V_a] :
( lhs_atom79(V_a,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty__not__insert_0_0,def_lhs_atom79]) ).
fof(def_lhs_atom80,axiom,
! [V_a,T_a] :
( lhs_atom80(V_a,T_a)
<=> ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_80,plain,
! [T_a,V_a] :
( lhs_atom80(V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_emptyE_0_0,def_lhs_atom80]) ).
fof(def_lhs_atom81,axiom,
! [V_c,T_a] :
( lhs_atom81(V_c,T_a)
<=> ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_81,plain,
! [T_a,V_c] :
( lhs_atom81(V_c,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty__iff_0_0,def_lhs_atom81]) ).
fof(def_lhs_atom82,axiom,
! [V_x,T_a] :
( lhs_atom82(V_x,T_a)
<=> ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_82,plain,
! [T_a,V_x] :
( lhs_atom82(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_ex__in__conv_0_0,def_lhs_atom82]) ).
fof(def_lhs_atom83,axiom,
! [V_f,V_a,V_B,T_b,T_a] :
( lhs_atom83(V_f,V_a,V_B,T_b,T_a)
<=> c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_83,plain,
! [T_a,T_b,V_B,V_a,V_f] :
( lhs_atom83(V_f,V_a,V_B,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__insert_0_0,def_lhs_atom83]) ).
fof(def_lhs_atom84,axiom,
! [V_A,T_a] :
( lhs_atom84(V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_84,plain,
! [T_a,V_A] :
( lhs_atom84(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__UNIV_0_0,def_lhs_atom84]) ).
fof(def_lhs_atom85,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom85(V_C,V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_85,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom85(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Int__distrib_0_0,def_lhs_atom85]) ).
fof(def_lhs_atom86,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom86(V_C,V_B,V_A,T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_86,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom86(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__Int__distrib2_0_0,def_lhs_atom86]) ).
fof(def_lhs_atom87,axiom,
! [V_x,V_A,T_a] :
( lhs_atom87(V_x,V_A,T_a)
<=> hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ),
inference(definition,[],]) ).
fof(to_be_clausified_87,plain,
! [T_a,V_A,V_x] :
( lhs_atom87(V_x,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_insert__code_1_0,def_lhs_atom87]) ).
fof(def_lhs_atom88,axiom,
! [T_a] :
( lhs_atom88(T_a)
<=> c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_88,plain,
! [T_a] :
( lhs_atom88(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Compl__empty__eq_0_0,def_lhs_atom88]) ).
fof(def_lhs_atom89,axiom,
! [V_B,V_A,T_a] :
( lhs_atom89(V_B,V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_89,plain,
! [T_a,V_A,V_B] :
( lhs_atom89(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__left__absorb_0_0,def_lhs_atom89]) ).
fof(def_lhs_atom90,axiom,
! [V_A,T_a] :
( lhs_atom90(V_A,T_a)
<=> c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ),
inference(definition,[],]) ).
fof(to_be_clausified_90,plain,
! [T_a,V_A] :
( lhs_atom90(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__absorb_0_0,def_lhs_atom90]) ).
fof(def_lhs_atom91,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom91(V_C,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_91,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom91(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__Un_0_0,def_lhs_atom91]) ).
fof(def_lhs_atom92,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom92(V_C,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_92,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom92(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__Diff_0_0,def_lhs_atom92]) ).
fof(def_lhs_atom93,axiom,
! [V_x,T_a] :
( lhs_atom93(V_x,T_a)
<=> c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_93,plain,
! [T_a,V_x] :
( lhs_atom93(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_singleton__iff_1_0,def_lhs_atom93]) ).
fof(def_lhs_atom94,axiom,
! [V_f,V_a,V_B,T_b,T_a] :
( lhs_atom94(V_f,V_a,V_B,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_94,plain,
! [T_a,T_b,V_B,V_a,V_f] :
( lhs_atom94(V_f,V_a,V_B,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__insert_0_0,def_lhs_atom94]) ).
fof(def_lhs_atom95,axiom,
! [V_C,V_B,V_A,T_a] :
( lhs_atom95(V_C,V_B,V_A,T_a)
<=> c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_95,plain,
! [T_a,V_A,V_B,V_C] :
( lhs_atom95(V_C,V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__Int_0_0,def_lhs_atom95]) ).
fof(def_lhs_atom96,axiom,
! [T_a] :
( lhs_atom96(T_a)
<=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_96,plain,
! [T_a] :
( lhs_atom96(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__empty_2_0,def_lhs_atom96]) ).
fof(def_lhs_atom97,axiom,
! [V_f,V_B,V_A,T_b,T_a] :
( lhs_atom97(V_f,V_B,V_A,T_b,T_a)
<=> c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_97,plain,
! [T_a,T_b,V_A,V_B,V_f] :
( lhs_atom97(V_f,V_B,V_A,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_image__Un_0_0,def_lhs_atom97]) ).
fof(def_lhs_atom98,axiom,
! [V_f,T_b,T_a] :
( lhs_atom98(V_f,T_b,T_a)
<=> c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_98,plain,
! [T_a,T_b,V_f] :
( lhs_atom98(V_f,T_b,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_vimage__empty_0_0,def_lhs_atom98]) ).
fof(def_lhs_atom99,axiom,
! [V_A,T_a] :
( lhs_atom99(V_A,T_a)
<=> c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_99,plain,
! [T_a,V_A] :
( lhs_atom99(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_subset__UNIV_0_0,def_lhs_atom99]) ).
fof(def_lhs_atom100,axiom,
! [V_B,V_A,T_a] :
( lhs_atom100(V_B,V_A,T_a)
<=> c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_100,plain,
! [T_a,V_A,V_B] :
( lhs_atom100(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__lower2_0_0,def_lhs_atom100]) ).
fof(def_lhs_atom101,axiom,
! [V_B,V_A,T_a] :
( lhs_atom101(V_B,V_A,T_a)
<=> c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_101,plain,
! [T_a,V_A,V_B] :
( lhs_atom101(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Int__lower1_0_0,def_lhs_atom101]) ).
fof(def_lhs_atom102,axiom,
! [T_a] :
( lhs_atom102(T_a)
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_102,plain,
! [T_a] :
( lhs_atom102(T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_subset__empty_1_0,def_lhs_atom102]) ).
fof(def_lhs_atom103,axiom,
! [V_a,V_B,T_a] :
( lhs_atom103(V_a,V_B,T_a)
<=> c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_103,plain,
! [T_a,V_B,V_a] :
( lhs_atom103(V_a,V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_subset__insertI_0_0,def_lhs_atom103]) ).
fof(def_lhs_atom104,axiom,
! [V_A,T_a] :
( lhs_atom104(V_A,T_a)
<=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_104,plain,
! [T_a,V_A] :
( lhs_atom104(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty__subsetI_0_0,def_lhs_atom104]) ).
fof(def_lhs_atom105,axiom,
! [V_B,V_A,T_a] :
( lhs_atom105(V_B,V_A,T_a)
<=> c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_105,plain,
! [T_a,V_A,V_B] :
( lhs_atom105(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__upper2_0_0,def_lhs_atom105]) ).
fof(def_lhs_atom106,axiom,
! [V_B,V_A,T_a] :
( lhs_atom106(V_B,V_A,T_a)
<=> c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_106,plain,
! [T_a,V_A,V_B] :
( lhs_atom106(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Un__upper1_0_0,def_lhs_atom106]) ).
fof(def_lhs_atom107,axiom,
! [V_B,V_A,T_a] :
( lhs_atom107(V_B,V_A,T_a)
<=> c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_107,plain,
! [T_a,V_A,V_B] :
( lhs_atom107(V_B,V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Diff__subset_0_0,def_lhs_atom107]) ).
fof(def_lhs_atom108,axiom,
! [V_G,T_a] :
( lhs_atom108(V_G,T_a)
<=> c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_108,plain,
! [T_a,V_G] :
( lhs_atom108(V_G,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_empty_0_0,def_lhs_atom108]) ).
fof(def_lhs_atom109,axiom,
! [V_A,T_a] :
( lhs_atom109(V_A,T_a)
<=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_109,plain,
! [T_a,V_A] :
( lhs_atom109(V_A,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom109]) ).
fof(def_lhs_atom110,axiom,
! [V_x,T_a] :
( lhs_atom110(V_x,T_a)
<=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
inference(definition,[],]) ).
fof(to_be_clausified_110,plain,
! [T_a,V_x] :
( lhs_atom110(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom110]) ).
fof(def_lhs_atom111,axiom,
( lhs_atom111
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_111,plain,
( lhs_atom111
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice_0,def_lhs_atom111]) ).
fof(def_lhs_atom112,axiom,
( lhs_atom112
<=> class_Lattices_Olower__semilattice(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_112,plain,
( lhs_atom112
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olower__semilattice_0,def_lhs_atom112]) ).
fof(def_lhs_atom113,axiom,
( lhs_atom113
<=> class_Lattices_Odistrib__lattice(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_113,plain,
( lhs_atom113
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Odistrib__lattice_0,def_lhs_atom113]) ).
fof(def_lhs_atom114,axiom,
( lhs_atom114
<=> class_Lattices_Obounded__lattice(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_114,plain,
( lhs_atom114
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice_0,def_lhs_atom114]) ).
fof(def_lhs_atom115,axiom,
( lhs_atom115
<=> class_Lattices_Oboolean__algebra(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_115,plain,
( lhs_atom115
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra_0,def_lhs_atom115]) ).
fof(def_lhs_atom116,axiom,
( lhs_atom116
<=> class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_116,plain,
( lhs_atom116
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite_0,def_lhs_atom116]) ).
fof(def_lhs_atom117,axiom,
( lhs_atom117
<=> class_Orderings_Opreorder(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_117,plain,
( lhs_atom117
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom117]) ).
fof(def_lhs_atom118,axiom,
( lhs_atom118
<=> class_Lattices_Olattice(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_118,plain,
( lhs_atom118
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olattice_0,def_lhs_atom118]) ).
fof(def_lhs_atom119,axiom,
( lhs_atom119
<=> class_Orderings_Oorder(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_119,plain,
( lhs_atom119
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom119]) ).
fof(def_lhs_atom120,axiom,
( lhs_atom120
<=> class_Orderings_Otop(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_120,plain,
( lhs_atom120
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Otop_0,def_lhs_atom120]) ).
fof(def_lhs_atom121,axiom,
( lhs_atom121
<=> class_Orderings_Obot(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_121,plain,
( lhs_atom121
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Obot_0,def_lhs_atom121]) ).
fof(def_lhs_atom122,axiom,
( lhs_atom122
<=> class_HOL_Oord(tc_bool) ),
inference(definition,[],]) ).
fof(to_be_clausified_122,plain,
( lhs_atom122
| $false ),
inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom122]) ).
fof(def_lhs_atom123,axiom,
! [V_x,T_a] :
( lhs_atom123(V_x,T_a)
<=> c_fequal(V_x,V_x,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_123,plain,
! [T_a,V_x] :
( lhs_atom123(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom123]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X6,X4,X1,X7,X2] :
( lhs_atom97(X6,X4,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_1,axiom,
! [X6,X5,X4,X7,X2] :
( lhs_atom94(X6,X5,X4,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_2,axiom,
! [X6,X5,X4,X7,X2] :
( lhs_atom83(X6,X5,X4,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_3,axiom,
! [X6,X4,X1,X7,X2] :
( lhs_atom77(X6,X4,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_4,axiom,
! [X6,X4,X1,X7,X2] :
( lhs_atom74(X6,X4,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_5,axiom,
! [X6,X4,X1,X7,X2] :
( lhs_atom50(X6,X4,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_6,axiom,
! [X6,X4,X1,X7,X2] :
( lhs_atom20(X6,X4,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_7,axiom,
! [X6,X4,X1,X7,X2] :
( lhs_atom8(X6,X4,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_8,axiom,
! [X3,X4,X1,X2] :
( lhs_atom95(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_9,axiom,
! [X3,X4,X1,X2] :
( lhs_atom92(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_10,axiom,
! [X3,X4,X1,X2] :
( lhs_atom91(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_11,axiom,
! [X3,X4,X1,X2] :
( lhs_atom86(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_12,axiom,
! [X3,X4,X1,X2] :
( lhs_atom85(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_13,axiom,
! [X3,X4,X1,X2] :
( lhs_atom69(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_14,axiom,
! [X6,X1,X7,X2] :
( lhs_atom68(X6,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_15,axiom,
! [X3,X4,X1,X2] :
( lhs_atom64(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_16,axiom,
! [X3,X4,X1,X2] :
( lhs_atom63(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_17,axiom,
! [X3,X4,X1,X2] :
( lhs_atom57(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_18,axiom,
! [X3,X4,X1,X2] :
( lhs_atom56(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_19,axiom,
! [X5,X4,X1,X2] :
( lhs_atom44(X5,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_20,axiom,
! [X6,X5,X11,X2] :
( lhs_atom43(X6,X5,X11,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_21,axiom,
! [X5,X4,X1,X2] :
( lhs_atom41(X5,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_22,axiom,
! [X5,X4,X1,X2] :
( lhs_atom40(X5,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_23,axiom,
! [X3,X4,X1,X2] :
( lhs_atom32(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_24,axiom,
! [X6,X1,X7,X2] :
( lhs_atom29(X6,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_25,axiom,
! [X3,X4,X1,X2] :
( lhs_atom26(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_26,axiom,
! [X3,X4,X1,X2] :
( lhs_atom23(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_27,axiom,
! [X3,X4,X1,X2] :
( lhs_atom22(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_28,axiom,
! [X8,X6,X7,X2] :
( lhs_atom16(X8,X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_29,axiom,
! [X9,X8,X1,X2] :
( lhs_atom14(X9,X8,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_30,axiom,
! [X6,X1,X7,X2] :
( lhs_atom9(X6,X1,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_31,axiom,
! [X5,X4,X1,X2] :
( lhs_atom7(X5,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_32,axiom,
! [X5,X3,X4,X2] :
( lhs_atom6(X5,X3,X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_33,axiom,
! [X3,X4,X1,X2] :
( lhs_atom3(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_34,axiom,
! [X3,X4,X1,X2] :
( lhs_atom2(X3,X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_35,axiom,
! [X4,X1,X2] :
( lhs_atom107(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_36,axiom,
! [X4,X1,X2] :
( lhs_atom106(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_37,axiom,
! [X4,X1,X2] :
( lhs_atom105(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_38,axiom,
! [X5,X4,X2] :
( lhs_atom103(X5,X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_39,axiom,
! [X4,X1,X2] :
( lhs_atom101(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_40,axiom,
! [X4,X1,X2] :
( lhs_atom100(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_41,axiom,
! [X6,X7,X2] :
( lhs_atom98(X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_42,axiom,
! [X4,X1,X2] :
( lhs_atom89(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_43,axiom,
! [X8,X1,X2] :
( lhs_atom87(X8,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_44,axiom,
! [X5,X1,X2] :
( lhs_atom79(X5,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_45,axiom,
! [X4,X1,X2] :
( lhs_atom78(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_46,axiom,
! [X4,X1,X2] :
( lhs_atom75(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_47,axiom,
! [X4,X1,X2] :
( lhs_atom73(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_48,axiom,
! [X4,X1,X2] :
( lhs_atom72(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_49,axiom,
! [X8,X1,X2] :
( lhs_atom45(X8,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_50,axiom,
! [X5,X1,X2] :
( lhs_atom42(X5,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_51,axiom,
! [X4,X1,X2] :
( lhs_atom39(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_52,axiom,
! [X6,X7,X2] :
( lhs_atom18(X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_53,axiom,
! [X4,X1,X2] :
( lhs_atom36(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_54,axiom,
! [X5,X1,X2] :
( lhs_atom35(X5,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_55,axiom,
! [X4,X1,X2] :
( lhs_atom34(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_56,axiom,
! [X4,X1,X2] :
( lhs_atom33(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_57,axiom,
! [X4,X1,X2] :
( lhs_atom31(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_58,axiom,
! [X4,X1,X2] :
( lhs_atom30(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_59,axiom,
! [X5,X1,X2] :
( lhs_atom25(X5,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_60,axiom,
! [X4,X1,X2] :
( lhs_atom24(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_61,axiom,
! [X6,X7,X2] :
( lhs_atom21(X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_62,axiom,
! [X4,X1,X2] :
( lhs_atom19(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_63,axiom,
! [X6,X7,X2] :
( lhs_atom18(X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_64,axiom,
! [X10,X8,X2] :
( lhs_atom17(X10,X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_65,axiom,
! [X4,X1,X2] :
( lhs_atom15(X4,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_66,axiom,
! [X8,X4,X2] :
( lhs_atom13(X8,X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_67,axiom,
! [X5,X4,X2] :
( lhs_atom12(X5,X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_68,axiom,
! [X8,X1,X2] :
( lhs_atom11(X8,X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_69,axiom,
! [X6,X7,X2] :
( lhs_atom10(X6,X7,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_70,axiom,
! [X8,X2] :
( lhs_atom123(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_123) ).
fof(c_0_71,axiom,
! [X8,X2] :
( lhs_atom110(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_72,axiom,
! [X1,X2] :
( lhs_atom109(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_73,axiom,
! [X13,X2] :
( lhs_atom108(X13,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_74,axiom,
! [X1,X2] :
( lhs_atom104(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_75,axiom,
! [X1,X2] :
( lhs_atom99(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_76,axiom,
! [X8,X2] :
( lhs_atom93(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_77,axiom,
! [X1,X2] :
( lhs_atom90(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_78,axiom,
! [X1,X2] :
( lhs_atom84(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_79,axiom,
! [X8,X2] :
( lhs_atom82(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_80,axiom,
! [X12,X2] :
( lhs_atom81(X12,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_81,axiom,
! [X5,X2] :
( lhs_atom80(X5,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_82,axiom,
! [X1,X2] :
( lhs_atom76(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_83,axiom,
! [X8,X2] :
( lhs_atom71(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_84,axiom,
! [X8,X2] :
( lhs_atom70(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_85,axiom,
! [X1,X2] :
( lhs_atom67(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_86,axiom,
! [X4,X2] :
( lhs_atom66(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_87,axiom,
! [X8,X2] :
( lhs_atom62(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_88,axiom,
! [X1,X2] :
( lhs_atom60(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_89,axiom,
! [X1,X2] :
( lhs_atom59(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_90,axiom,
! [X4,X2] :
( lhs_atom58(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_91,axiom,
! [X1,X2] :
( lhs_atom55(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_92,axiom,
! [X1,X2] :
( lhs_atom54(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_93,axiom,
! [X1,X2] :
( lhs_atom53(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_94,axiom,
! [X1,X2] :
( lhs_atom52(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_95,axiom,
! [X8,X2] :
( lhs_atom51(X8,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_96,axiom,
! [X1,X2] :
( lhs_atom48(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_97,axiom,
! [X4,X2] :
( lhs_atom47(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_98,axiom,
! [X1,X2] :
( lhs_atom38(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_99,axiom,
! [X4,X2] :
( lhs_atom37(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_100,axiom,
! [X1,X2] :
( lhs_atom28(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_101,axiom,
! [X1,X2] :
( lhs_atom27(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_102,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_103,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_104,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_105,axiom,
! [X2] :
( lhs_atom102(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_106,axiom,
! [X2] :
( lhs_atom96(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_107,axiom,
! [X2] :
( lhs_atom88(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_108,axiom,
! [X2] :
( lhs_atom65(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_109,axiom,
! [X2] :
( lhs_atom61(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_110,axiom,
! [X2] :
( lhs_atom49(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_111,axiom,
! [X2] :
( lhs_atom46(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_112,axiom,
( lhs_atom122
| ~ $true ),
file('<stdin>',to_be_clausified_122) ).
fof(c_0_113,axiom,
( lhs_atom121
| ~ $true ),
file('<stdin>',to_be_clausified_121) ).
fof(c_0_114,axiom,
( lhs_atom120
| ~ $true ),
file('<stdin>',to_be_clausified_120) ).
fof(c_0_115,axiom,
( lhs_atom119
| ~ $true ),
file('<stdin>',to_be_clausified_119) ).
fof(c_0_116,axiom,
( lhs_atom118
| ~ $true ),
file('<stdin>',to_be_clausified_118) ).
fof(c_0_117,axiom,
( lhs_atom117
| ~ $true ),
file('<stdin>',to_be_clausified_117) ).
fof(c_0_118,axiom,
( lhs_atom116
| ~ $true ),
file('<stdin>',to_be_clausified_116) ).
fof(c_0_119,axiom,
( lhs_atom115
| ~ $true ),
file('<stdin>',to_be_clausified_115) ).
fof(c_0_120,axiom,
( lhs_atom114
| ~ $true ),
file('<stdin>',to_be_clausified_114) ).
fof(c_0_121,axiom,
( lhs_atom113
| ~ $true ),
file('<stdin>',to_be_clausified_113) ).
fof(c_0_122,axiom,
( lhs_atom112
| ~ $true ),
file('<stdin>',to_be_clausified_112) ).
fof(c_0_123,axiom,
( lhs_atom111
| ~ $true ),
file('<stdin>',to_be_clausified_111) ).
fof(c_0_124,plain,
! [X6,X4,X1,X7,X2] : lhs_atom97(X6,X4,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_125,plain,
! [X6,X5,X4,X7,X2] : lhs_atom94(X6,X5,X4,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_126,plain,
! [X6,X5,X4,X7,X2] : lhs_atom83(X6,X5,X4,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_127,plain,
! [X6,X4,X1,X7,X2] : lhs_atom77(X6,X4,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_128,plain,
! [X6,X4,X1,X7,X2] : lhs_atom74(X6,X4,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_129,plain,
! [X6,X4,X1,X7,X2] : lhs_atom50(X6,X4,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_130,plain,
! [X6,X4,X1,X7,X2] : lhs_atom20(X6,X4,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_131,plain,
! [X6,X4,X1,X7,X2] : lhs_atom8(X6,X4,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_132,plain,
! [X3,X4,X1,X2] : lhs_atom95(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_133,plain,
! [X3,X4,X1,X2] : lhs_atom92(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_134,plain,
! [X3,X4,X1,X2] : lhs_atom91(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_135,plain,
! [X3,X4,X1,X2] : lhs_atom86(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_136,plain,
! [X3,X4,X1,X2] : lhs_atom85(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_137,plain,
! [X3,X4,X1,X2] : lhs_atom69(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_138,plain,
! [X6,X1,X7,X2] : lhs_atom68(X6,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_139,plain,
! [X3,X4,X1,X2] : lhs_atom64(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_140,plain,
! [X3,X4,X1,X2] : lhs_atom63(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_141,plain,
! [X3,X4,X1,X2] : lhs_atom57(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_142,plain,
! [X3,X4,X1,X2] : lhs_atom56(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_143,plain,
! [X5,X4,X1,X2] : lhs_atom44(X5,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_144,plain,
! [X6,X5,X11,X2] : lhs_atom43(X6,X5,X11,X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_145,plain,
! [X5,X4,X1,X2] : lhs_atom41(X5,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_146,plain,
! [X5,X4,X1,X2] : lhs_atom40(X5,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_147,plain,
! [X3,X4,X1,X2] : lhs_atom32(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_148,plain,
! [X6,X1,X7,X2] : lhs_atom29(X6,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_149,plain,
! [X3,X4,X1,X2] : lhs_atom26(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_150,plain,
! [X3,X4,X1,X2] : lhs_atom23(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_151,plain,
! [X3,X4,X1,X2] : lhs_atom22(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_152,plain,
! [X8,X6,X7,X2] : lhs_atom16(X8,X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_153,plain,
! [X9,X8,X1,X2] : lhs_atom14(X9,X8,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_154,plain,
! [X6,X1,X7,X2] : lhs_atom9(X6,X1,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_155,plain,
! [X5,X4,X1,X2] : lhs_atom7(X5,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_156,plain,
! [X5,X3,X4,X2] : lhs_atom6(X5,X3,X4,X2),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_157,plain,
! [X3,X4,X1,X2] : lhs_atom3(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_158,plain,
! [X3,X4,X1,X2] : lhs_atom2(X3,X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_159,plain,
! [X4,X1,X2] : lhs_atom107(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_160,plain,
! [X4,X1,X2] : lhs_atom106(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_161,plain,
! [X4,X1,X2] : lhs_atom105(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_162,plain,
! [X5,X4,X2] : lhs_atom103(X5,X4,X2),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_163,plain,
! [X4,X1,X2] : lhs_atom101(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_164,plain,
! [X4,X1,X2] : lhs_atom100(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_165,plain,
! [X6,X7,X2] : lhs_atom98(X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_166,plain,
! [X4,X1,X2] : lhs_atom89(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_167,plain,
! [X8,X1,X2] : lhs_atom87(X8,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_168,plain,
! [X5,X1,X2] : lhs_atom79(X5,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_169,plain,
! [X4,X1,X2] : lhs_atom78(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_170,plain,
! [X4,X1,X2] : lhs_atom75(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_171,plain,
! [X4,X1,X2] : lhs_atom73(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_172,plain,
! [X4,X1,X2] : lhs_atom72(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_173,plain,
! [X8,X1,X2] : lhs_atom45(X8,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_174,plain,
! [X5,X1,X2] : lhs_atom42(X5,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_175,plain,
! [X4,X1,X2] : lhs_atom39(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_176,plain,
! [X6,X7,X2] : lhs_atom18(X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_177,plain,
! [X4,X1,X2] : lhs_atom36(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_178,plain,
! [X5,X1,X2] : lhs_atom35(X5,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_179,plain,
! [X4,X1,X2] : lhs_atom34(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_180,plain,
! [X4,X1,X2] : lhs_atom33(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_181,plain,
! [X4,X1,X2] : lhs_atom31(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_182,plain,
! [X4,X1,X2] : lhs_atom30(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_183,plain,
! [X5,X1,X2] : lhs_atom25(X5,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_184,plain,
! [X4,X1,X2] : lhs_atom24(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_185,plain,
! [X6,X7,X2] : lhs_atom21(X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_186,plain,
! [X4,X1,X2] : lhs_atom19(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_187,plain,
! [X6,X7,X2] : lhs_atom18(X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_188,plain,
! [X10,X8,X2] : lhs_atom17(X10,X8,X2),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_189,plain,
! [X4,X1,X2] : lhs_atom15(X4,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_190,plain,
! [X8,X4,X2] : lhs_atom13(X8,X4,X2),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_191,plain,
! [X5,X4,X2] : lhs_atom12(X5,X4,X2),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_192,plain,
! [X8,X1,X2] : lhs_atom11(X8,X1,X2),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_193,plain,
! [X6,X7,X2] : lhs_atom10(X6,X7,X2),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_194,plain,
! [X8,X2] : lhs_atom123(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_195,plain,
! [X8,X2] : lhs_atom110(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_196,plain,
! [X1,X2] : lhs_atom109(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_197,plain,
! [X13,X2] : lhs_atom108(X13,X2),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_198,plain,
! [X1,X2] : lhs_atom104(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_199,plain,
! [X1,X2] : lhs_atom99(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_200,plain,
! [X8,X2] : lhs_atom93(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_201,plain,
! [X1,X2] : lhs_atom90(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_202,plain,
! [X1,X2] : lhs_atom84(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_203,plain,
! [X8,X2] : lhs_atom82(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_204,plain,
! [X12,X2] : lhs_atom81(X12,X2),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_205,plain,
! [X5,X2] : lhs_atom80(X5,X2),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_206,plain,
! [X1,X2] : lhs_atom76(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_207,plain,
! [X8,X2] : lhs_atom71(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_208,plain,
! [X8,X2] : lhs_atom70(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_209,plain,
! [X1,X2] : lhs_atom67(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_210,plain,
! [X4,X2] : lhs_atom66(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_211,plain,
! [X8,X2] : lhs_atom62(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_212,plain,
! [X1,X2] : lhs_atom60(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_213,plain,
! [X1,X2] : lhs_atom59(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_214,plain,
! [X4,X2] : lhs_atom58(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_215,plain,
! [X1,X2] : lhs_atom55(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_216,plain,
! [X1,X2] : lhs_atom54(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_217,plain,
! [X1,X2] : lhs_atom53(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_218,plain,
! [X1,X2] : lhs_atom52(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_219,plain,
! [X8,X2] : lhs_atom51(X8,X2),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_220,plain,
! [X1,X2] : lhs_atom48(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_221,plain,
! [X4,X2] : lhs_atom47(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_222,plain,
! [X1,X2] : lhs_atom38(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_223,plain,
! [X4,X2] : lhs_atom37(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_224,plain,
! [X1,X2] : lhs_atom28(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_225,plain,
! [X1,X2] : lhs_atom27(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_226,plain,
! [X1,X2] : lhs_atom5(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_227,plain,
! [X1,X2] : lhs_atom4(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_228,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_229,plain,
! [X2] : lhs_atom102(X2),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_230,plain,
! [X2] : lhs_atom96(X2),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_231,plain,
! [X2] : lhs_atom88(X2),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_232,plain,
! [X2] : lhs_atom65(X2),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_233,plain,
! [X2] : lhs_atom61(X2),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_234,plain,
! [X2] : lhs_atom49(X2),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_235,plain,
! [X2] : lhs_atom46(X2),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_236,plain,
lhs_atom122,
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_237,plain,
lhs_atom121,
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_238,plain,
lhs_atom120,
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_239,plain,
lhs_atom119,
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_240,plain,
lhs_atom118,
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_241,plain,
lhs_atom117,
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_242,plain,
lhs_atom116,
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_243,plain,
lhs_atom115,
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_244,plain,
lhs_atom114,
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_245,plain,
lhs_atom113,
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_246,plain,
lhs_atom112,
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_247,plain,
lhs_atom111,
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_248,plain,
! [X8,X9,X10,X11,X12] : lhs_atom97(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_124]) ).
fof(c_0_249,plain,
! [X8,X9,X10,X11,X12] : lhs_atom94(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_125]) ).
fof(c_0_250,plain,
! [X8,X9,X10,X11,X12] : lhs_atom83(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_126]) ).
fof(c_0_251,plain,
! [X8,X9,X10,X11,X12] : lhs_atom77(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_127]) ).
fof(c_0_252,plain,
! [X8,X9,X10,X11,X12] : lhs_atom74(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_128]) ).
fof(c_0_253,plain,
! [X8,X9,X10,X11,X12] : lhs_atom50(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_129]) ).
fof(c_0_254,plain,
! [X8,X9,X10,X11,X12] : lhs_atom20(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_130]) ).
fof(c_0_255,plain,
! [X8,X9,X10,X11,X12] : lhs_atom8(X8,X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_131]) ).
fof(c_0_256,plain,
! [X5,X6,X7,X8] : lhs_atom95(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_132]) ).
fof(c_0_257,plain,
! [X5,X6,X7,X8] : lhs_atom92(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_133]) ).
fof(c_0_258,plain,
! [X5,X6,X7,X8] : lhs_atom91(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_134]) ).
fof(c_0_259,plain,
! [X5,X6,X7,X8] : lhs_atom86(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_135]) ).
fof(c_0_260,plain,
! [X5,X6,X7,X8] : lhs_atom85(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_136]) ).
fof(c_0_261,plain,
! [X5,X6,X7,X8] : lhs_atom69(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_137]) ).
fof(c_0_262,plain,
! [X8,X9,X10,X11] : lhs_atom68(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_138]) ).
fof(c_0_263,plain,
! [X5,X6,X7,X8] : lhs_atom64(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_139]) ).
fof(c_0_264,plain,
! [X5,X6,X7,X8] : lhs_atom63(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_140]) ).
fof(c_0_265,plain,
! [X5,X6,X7,X8] : lhs_atom57(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_141]) ).
fof(c_0_266,plain,
! [X5,X6,X7,X8] : lhs_atom56(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_142]) ).
fof(c_0_267,plain,
! [X6,X7,X8,X9] : lhs_atom44(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_143]) ).
fof(c_0_268,plain,
! [X12,X13,X14,X15] : lhs_atom43(X12,X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_144]) ).
fof(c_0_269,plain,
! [X6,X7,X8,X9] : lhs_atom41(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_145]) ).
fof(c_0_270,plain,
! [X6,X7,X8,X9] : lhs_atom40(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_146]) ).
fof(c_0_271,plain,
! [X5,X6,X7,X8] : lhs_atom32(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_147]) ).
fof(c_0_272,plain,
! [X8,X9,X10,X11] : lhs_atom29(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_148]) ).
fof(c_0_273,plain,
! [X5,X6,X7,X8] : lhs_atom26(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_149]) ).
fof(c_0_274,plain,
! [X5,X6,X7,X8] : lhs_atom23(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_150]) ).
fof(c_0_275,plain,
! [X5,X6,X7,X8] : lhs_atom22(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_151]) ).
fof(c_0_276,plain,
! [X9,X10,X11,X12] : lhs_atom16(X9,X10,X11,X12),
inference(variable_rename,[status(thm)],[c_0_152]) ).
fof(c_0_277,plain,
! [X10,X11,X12,X13] : lhs_atom14(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_153]) ).
fof(c_0_278,plain,
! [X8,X9,X10,X11] : lhs_atom9(X8,X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_154]) ).
fof(c_0_279,plain,
! [X6,X7,X8,X9] : lhs_atom7(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_155]) ).
fof(c_0_280,plain,
! [X6,X7,X8,X9] : lhs_atom6(X6,X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_156]) ).
fof(c_0_281,plain,
! [X5,X6,X7,X8] : lhs_atom3(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_157]) ).
fof(c_0_282,plain,
! [X5,X6,X7,X8] : lhs_atom2(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_158]) ).
fof(c_0_283,plain,
! [X5,X6,X7] : lhs_atom107(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_159]) ).
fof(c_0_284,plain,
! [X5,X6,X7] : lhs_atom106(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_160]) ).
fof(c_0_285,plain,
! [X5,X6,X7] : lhs_atom105(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_161]) ).
fof(c_0_286,plain,
! [X6,X7,X8] : lhs_atom103(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_162]) ).
fof(c_0_287,plain,
! [X5,X6,X7] : lhs_atom101(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_163]) ).
fof(c_0_288,plain,
! [X5,X6,X7] : lhs_atom100(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_164]) ).
fof(c_0_289,plain,
! [X8,X9,X10] : lhs_atom98(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_165]) ).
fof(c_0_290,plain,
! [X5,X6,X7] : lhs_atom89(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_166]) ).
fof(c_0_291,plain,
! [X9,X10,X11] : lhs_atom87(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_167]) ).
fof(c_0_292,plain,
! [X6,X7,X8] : lhs_atom79(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_168]) ).
fof(c_0_293,plain,
! [X5,X6,X7] : lhs_atom78(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_169]) ).
fof(c_0_294,plain,
! [X5,X6,X7] : lhs_atom75(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_170]) ).
fof(c_0_295,plain,
! [X5,X6,X7] : lhs_atom73(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_171]) ).
fof(c_0_296,plain,
! [X5,X6,X7] : lhs_atom72(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_172]) ).
fof(c_0_297,plain,
! [X9,X10,X11] : lhs_atom45(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_173]) ).
fof(c_0_298,plain,
! [X6,X7,X8] : lhs_atom42(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_174]) ).
fof(c_0_299,plain,
! [X5,X6,X7] : lhs_atom39(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_175]) ).
fof(c_0_300,plain,
! [X8,X9,X10] : lhs_atom18(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_176]) ).
fof(c_0_301,plain,
! [X5,X6,X7] : lhs_atom36(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_177]) ).
fof(c_0_302,plain,
! [X6,X7,X8] : lhs_atom35(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_178]) ).
fof(c_0_303,plain,
! [X5,X6,X7] : lhs_atom34(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_179]) ).
fof(c_0_304,plain,
! [X5,X6,X7] : lhs_atom33(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_180]) ).
fof(c_0_305,plain,
! [X5,X6,X7] : lhs_atom31(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_181]) ).
fof(c_0_306,plain,
! [X5,X6,X7] : lhs_atom30(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_182]) ).
fof(c_0_307,plain,
! [X6,X7,X8] : lhs_atom25(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_183]) ).
fof(c_0_308,plain,
! [X5,X6,X7] : lhs_atom24(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_184]) ).
fof(c_0_309,plain,
! [X8,X9,X10] : lhs_atom21(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_185]) ).
fof(c_0_310,plain,
! [X5,X6,X7] : lhs_atom19(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_186]) ).
fof(c_0_311,plain,
! [X8,X9,X10] : lhs_atom18(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_187]) ).
fof(c_0_312,plain,
! [X11,X12,X13] : lhs_atom17(X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_188]) ).
fof(c_0_313,plain,
! [X5,X6,X7] : lhs_atom15(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_189]) ).
fof(c_0_314,plain,
! [X9,X10,X11] : lhs_atom13(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_190]) ).
fof(c_0_315,plain,
! [X6,X7,X8] : lhs_atom12(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_191]) ).
fof(c_0_316,plain,
! [X9,X10,X11] : lhs_atom11(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_192]) ).
fof(c_0_317,plain,
! [X8,X9,X10] : lhs_atom10(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_193]) ).
fof(c_0_318,plain,
! [X9,X10] : lhs_atom123(X9,X10),
inference(variable_rename,[status(thm)],[c_0_194]) ).
fof(c_0_319,plain,
! [X9,X10] : lhs_atom110(X9,X10),
inference(variable_rename,[status(thm)],[c_0_195]) ).
fof(c_0_320,plain,
! [X3,X4] : lhs_atom109(X3,X4),
inference(variable_rename,[status(thm)],[c_0_196]) ).
fof(c_0_321,plain,
! [X14,X15] : lhs_atom108(X14,X15),
inference(variable_rename,[status(thm)],[c_0_197]) ).
fof(c_0_322,plain,
! [X3,X4] : lhs_atom104(X3,X4),
inference(variable_rename,[status(thm)],[c_0_198]) ).
fof(c_0_323,plain,
! [X3,X4] : lhs_atom99(X3,X4),
inference(variable_rename,[status(thm)],[c_0_199]) ).
fof(c_0_324,plain,
! [X9,X10] : lhs_atom93(X9,X10),
inference(variable_rename,[status(thm)],[c_0_200]) ).
fof(c_0_325,plain,
! [X3,X4] : lhs_atom90(X3,X4),
inference(variable_rename,[status(thm)],[c_0_201]) ).
fof(c_0_326,plain,
! [X3,X4] : lhs_atom84(X3,X4),
inference(variable_rename,[status(thm)],[c_0_202]) ).
fof(c_0_327,plain,
! [X9,X10] : lhs_atom82(X9,X10),
inference(variable_rename,[status(thm)],[c_0_203]) ).
fof(c_0_328,plain,
! [X13,X14] : lhs_atom81(X13,X14),
inference(variable_rename,[status(thm)],[c_0_204]) ).
fof(c_0_329,plain,
! [X6,X7] : lhs_atom80(X6,X7),
inference(variable_rename,[status(thm)],[c_0_205]) ).
fof(c_0_330,plain,
! [X3,X4] : lhs_atom76(X3,X4),
inference(variable_rename,[status(thm)],[c_0_206]) ).
fof(c_0_331,plain,
! [X9,X10] : lhs_atom71(X9,X10),
inference(variable_rename,[status(thm)],[c_0_207]) ).
fof(c_0_332,plain,
! [X9,X10] : lhs_atom70(X9,X10),
inference(variable_rename,[status(thm)],[c_0_208]) ).
fof(c_0_333,plain,
! [X3,X4] : lhs_atom67(X3,X4),
inference(variable_rename,[status(thm)],[c_0_209]) ).
fof(c_0_334,plain,
! [X5,X6] : lhs_atom66(X5,X6),
inference(variable_rename,[status(thm)],[c_0_210]) ).
fof(c_0_335,plain,
! [X9,X10] : lhs_atom62(X9,X10),
inference(variable_rename,[status(thm)],[c_0_211]) ).
fof(c_0_336,plain,
! [X3,X4] : lhs_atom60(X3,X4),
inference(variable_rename,[status(thm)],[c_0_212]) ).
fof(c_0_337,plain,
! [X3,X4] : lhs_atom59(X3,X4),
inference(variable_rename,[status(thm)],[c_0_213]) ).
fof(c_0_338,plain,
! [X5,X6] : lhs_atom58(X5,X6),
inference(variable_rename,[status(thm)],[c_0_214]) ).
fof(c_0_339,plain,
! [X3,X4] : lhs_atom55(X3,X4),
inference(variable_rename,[status(thm)],[c_0_215]) ).
fof(c_0_340,plain,
! [X3,X4] : lhs_atom54(X3,X4),
inference(variable_rename,[status(thm)],[c_0_216]) ).
fof(c_0_341,plain,
! [X3,X4] : lhs_atom53(X3,X4),
inference(variable_rename,[status(thm)],[c_0_217]) ).
fof(c_0_342,plain,
! [X3,X4] : lhs_atom52(X3,X4),
inference(variable_rename,[status(thm)],[c_0_218]) ).
fof(c_0_343,plain,
! [X9,X10] : lhs_atom51(X9,X10),
inference(variable_rename,[status(thm)],[c_0_219]) ).
fof(c_0_344,plain,
! [X3,X4] : lhs_atom48(X3,X4),
inference(variable_rename,[status(thm)],[c_0_220]) ).
fof(c_0_345,plain,
! [X5,X6] : lhs_atom47(X5,X6),
inference(variable_rename,[status(thm)],[c_0_221]) ).
fof(c_0_346,plain,
! [X3,X4] : lhs_atom38(X3,X4),
inference(variable_rename,[status(thm)],[c_0_222]) ).
fof(c_0_347,plain,
! [X5,X6] : lhs_atom37(X5,X6),
inference(variable_rename,[status(thm)],[c_0_223]) ).
fof(c_0_348,plain,
! [X3,X4] : lhs_atom28(X3,X4),
inference(variable_rename,[status(thm)],[c_0_224]) ).
fof(c_0_349,plain,
! [X3,X4] : lhs_atom27(X3,X4),
inference(variable_rename,[status(thm)],[c_0_225]) ).
fof(c_0_350,plain,
! [X3,X4] : lhs_atom5(X3,X4),
inference(variable_rename,[status(thm)],[c_0_226]) ).
fof(c_0_351,plain,
! [X3,X4] : lhs_atom4(X3,X4),
inference(variable_rename,[status(thm)],[c_0_227]) ).
fof(c_0_352,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_228]) ).
fof(c_0_353,plain,
! [X3] : lhs_atom102(X3),
inference(variable_rename,[status(thm)],[c_0_229]) ).
fof(c_0_354,plain,
! [X3] : lhs_atom96(X3),
inference(variable_rename,[status(thm)],[c_0_230]) ).
fof(c_0_355,plain,
! [X3] : lhs_atom88(X3),
inference(variable_rename,[status(thm)],[c_0_231]) ).
fof(c_0_356,plain,
! [X3] : lhs_atom65(X3),
inference(variable_rename,[status(thm)],[c_0_232]) ).
fof(c_0_357,plain,
! [X3] : lhs_atom61(X3),
inference(variable_rename,[status(thm)],[c_0_233]) ).
fof(c_0_358,plain,
! [X3] : lhs_atom49(X3),
inference(variable_rename,[status(thm)],[c_0_234]) ).
fof(c_0_359,plain,
! [X3] : lhs_atom46(X3),
inference(variable_rename,[status(thm)],[c_0_235]) ).
fof(c_0_360,plain,
lhs_atom122,
c_0_236 ).
fof(c_0_361,plain,
lhs_atom121,
c_0_237 ).
fof(c_0_362,plain,
lhs_atom120,
c_0_238 ).
fof(c_0_363,plain,
lhs_atom119,
c_0_239 ).
fof(c_0_364,plain,
lhs_atom118,
c_0_240 ).
fof(c_0_365,plain,
lhs_atom117,
c_0_241 ).
fof(c_0_366,plain,
lhs_atom116,
c_0_242 ).
fof(c_0_367,plain,
lhs_atom115,
c_0_243 ).
fof(c_0_368,plain,
lhs_atom114,
c_0_244 ).
fof(c_0_369,plain,
lhs_atom113,
c_0_245 ).
fof(c_0_370,plain,
lhs_atom112,
c_0_246 ).
fof(c_0_371,plain,
lhs_atom111,
c_0_247 ).
cnf(c_0_372,plain,
lhs_atom97(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_373,plain,
lhs_atom94(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_374,plain,
lhs_atom83(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_375,plain,
lhs_atom77(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_376,plain,
lhs_atom74(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_377,plain,
lhs_atom50(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_378,plain,
lhs_atom20(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_379,plain,
lhs_atom8(X1,X2,X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_380,plain,
lhs_atom95(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_256]) ).
cnf(c_0_381,plain,
lhs_atom92(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_382,plain,
lhs_atom91(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_258]) ).
cnf(c_0_383,plain,
lhs_atom86(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_259]) ).
cnf(c_0_384,plain,
lhs_atom85(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_260]) ).
cnf(c_0_385,plain,
lhs_atom69(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_386,plain,
lhs_atom68(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_387,plain,
lhs_atom64(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_388,plain,
lhs_atom63(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_264]) ).
cnf(c_0_389,plain,
lhs_atom57(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_390,plain,
lhs_atom56(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_266]) ).
cnf(c_0_391,plain,
lhs_atom44(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_392,plain,
lhs_atom43(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_393,plain,
lhs_atom41(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_394,plain,
lhs_atom40(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_270]) ).
cnf(c_0_395,plain,
lhs_atom32(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_271]) ).
cnf(c_0_396,plain,
lhs_atom29(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_397,plain,
lhs_atom26(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_398,plain,
lhs_atom23(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_274]) ).
cnf(c_0_399,plain,
lhs_atom22(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_275]) ).
cnf(c_0_400,plain,
lhs_atom16(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_276]) ).
cnf(c_0_401,plain,
lhs_atom14(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_277]) ).
cnf(c_0_402,plain,
lhs_atom9(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_278]) ).
cnf(c_0_403,plain,
lhs_atom7(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_404,plain,
lhs_atom6(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_280]) ).
cnf(c_0_405,plain,
lhs_atom3(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_281]) ).
cnf(c_0_406,plain,
lhs_atom2(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_282]) ).
cnf(c_0_407,plain,
lhs_atom107(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_283]) ).
cnf(c_0_408,plain,
lhs_atom106(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_409,plain,
lhs_atom105(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_285]) ).
cnf(c_0_410,plain,
lhs_atom103(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_411,plain,
lhs_atom101(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_412,plain,
lhs_atom100(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_413,plain,
lhs_atom98(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_289]) ).
cnf(c_0_414,plain,
lhs_atom89(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_415,plain,
lhs_atom87(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_291]) ).
cnf(c_0_416,plain,
lhs_atom79(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_292]) ).
cnf(c_0_417,plain,
lhs_atom78(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_293]) ).
cnf(c_0_418,plain,
lhs_atom75(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_294]) ).
cnf(c_0_419,plain,
lhs_atom73(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_295]) ).
cnf(c_0_420,plain,
lhs_atom72(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_421,plain,
lhs_atom45(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_297]) ).
cnf(c_0_422,plain,
lhs_atom42(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_423,plain,
lhs_atom39(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_299]) ).
cnf(c_0_424,plain,
lhs_atom18(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_300]) ).
cnf(c_0_425,plain,
lhs_atom36(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_426,plain,
lhs_atom35(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_302]) ).
cnf(c_0_427,plain,
lhs_atom34(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_303]) ).
cnf(c_0_428,plain,
lhs_atom33(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_304]) ).
cnf(c_0_429,plain,
lhs_atom31(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_305]) ).
cnf(c_0_430,plain,
lhs_atom30(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_306]) ).
cnf(c_0_431,plain,
lhs_atom25(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_307]) ).
cnf(c_0_432,plain,
lhs_atom24(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_308]) ).
cnf(c_0_433,plain,
lhs_atom21(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_309]) ).
cnf(c_0_434,plain,
lhs_atom19(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_310]) ).
cnf(c_0_435,plain,
lhs_atom18(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_436,plain,
lhs_atom17(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_312]) ).
cnf(c_0_437,plain,
lhs_atom15(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_313]) ).
cnf(c_0_438,plain,
lhs_atom13(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_314]) ).
cnf(c_0_439,plain,
lhs_atom12(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_315]) ).
cnf(c_0_440,plain,
lhs_atom11(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_316]) ).
cnf(c_0_441,plain,
lhs_atom10(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_317]) ).
cnf(c_0_442,plain,
lhs_atom123(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_443,plain,
lhs_atom110(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_319]) ).
cnf(c_0_444,plain,
lhs_atom109(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_445,plain,
lhs_atom108(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_321]) ).
cnf(c_0_446,plain,
lhs_atom104(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_322]) ).
cnf(c_0_447,plain,
lhs_atom99(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_323]) ).
cnf(c_0_448,plain,
lhs_atom93(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_324]) ).
cnf(c_0_449,plain,
lhs_atom90(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_325]) ).
cnf(c_0_450,plain,
lhs_atom84(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_451,plain,
lhs_atom82(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_327]) ).
cnf(c_0_452,plain,
lhs_atom81(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_328]) ).
cnf(c_0_453,plain,
lhs_atom80(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_329]) ).
cnf(c_0_454,plain,
lhs_atom76(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_330]) ).
cnf(c_0_455,plain,
lhs_atom71(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_331]) ).
cnf(c_0_456,plain,
lhs_atom70(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_457,plain,
lhs_atom67(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_333]) ).
cnf(c_0_458,plain,
lhs_atom66(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_334]) ).
cnf(c_0_459,plain,
lhs_atom62(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_335]) ).
cnf(c_0_460,plain,
lhs_atom60(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_336]) ).
cnf(c_0_461,plain,
lhs_atom59(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_337]) ).
cnf(c_0_462,plain,
lhs_atom58(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_338]) ).
cnf(c_0_463,plain,
lhs_atom55(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_339]) ).
cnf(c_0_464,plain,
lhs_atom54(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_340]) ).
cnf(c_0_465,plain,
lhs_atom53(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_341]) ).
cnf(c_0_466,plain,
lhs_atom52(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_342]) ).
cnf(c_0_467,plain,
lhs_atom51(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_343]) ).
cnf(c_0_468,plain,
lhs_atom48(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_344]) ).
cnf(c_0_469,plain,
lhs_atom47(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_345]) ).
cnf(c_0_470,plain,
lhs_atom38(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_346]) ).
cnf(c_0_471,plain,
lhs_atom37(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_347]) ).
cnf(c_0_472,plain,
lhs_atom28(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_348]) ).
cnf(c_0_473,plain,
lhs_atom27(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_349]) ).
cnf(c_0_474,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_350]) ).
cnf(c_0_475,plain,
lhs_atom4(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_351]) ).
cnf(c_0_476,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_352]) ).
cnf(c_0_477,plain,
lhs_atom102(X1),
inference(split_conjunct,[status(thm)],[c_0_353]) ).
cnf(c_0_478,plain,
lhs_atom96(X1),
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_479,plain,
lhs_atom88(X1),
inference(split_conjunct,[status(thm)],[c_0_355]) ).
cnf(c_0_480,plain,
lhs_atom65(X1),
inference(split_conjunct,[status(thm)],[c_0_356]) ).
cnf(c_0_481,plain,
lhs_atom61(X1),
inference(split_conjunct,[status(thm)],[c_0_357]) ).
cnf(c_0_482,plain,
lhs_atom49(X1),
inference(split_conjunct,[status(thm)],[c_0_358]) ).
cnf(c_0_483,plain,
lhs_atom46(X1),
inference(split_conjunct,[status(thm)],[c_0_359]) ).
cnf(c_0_484,plain,
lhs_atom122,
inference(split_conjunct,[status(thm)],[c_0_360]) ).
cnf(c_0_485,plain,
lhs_atom121,
inference(split_conjunct,[status(thm)],[c_0_361]) ).
cnf(c_0_486,plain,
lhs_atom120,
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_487,plain,
lhs_atom119,
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_488,plain,
lhs_atom118,
inference(split_conjunct,[status(thm)],[c_0_364]) ).
cnf(c_0_489,plain,
lhs_atom117,
inference(split_conjunct,[status(thm)],[c_0_365]) ).
cnf(c_0_490,plain,
lhs_atom116,
inference(split_conjunct,[status(thm)],[c_0_366]) ).
cnf(c_0_491,plain,
lhs_atom115,
inference(split_conjunct,[status(thm)],[c_0_367]) ).
cnf(c_0_492,plain,
lhs_atom114,
inference(split_conjunct,[status(thm)],[c_0_368]) ).
cnf(c_0_493,plain,
lhs_atom113,
inference(split_conjunct,[status(thm)],[c_0_369]) ).
cnf(c_0_494,plain,
lhs_atom112,
inference(split_conjunct,[status(thm)],[c_0_370]) ).
cnf(c_0_495,plain,
lhs_atom111,
inference(split_conjunct,[status(thm)],[c_0_371]) ).
cnf(c_0_496,plain,
lhs_atom97(X1,X2,X3,X4,X5),
c_0_372,
[final] ).
cnf(c_0_497,plain,
lhs_atom94(X1,X2,X3,X4,X5),
c_0_373,
[final] ).
cnf(c_0_498,plain,
lhs_atom83(X1,X2,X3,X4,X5),
c_0_374,
[final] ).
cnf(c_0_499,plain,
lhs_atom77(X1,X2,X3,X4,X5),
c_0_375,
[final] ).
cnf(c_0_500,plain,
lhs_atom74(X1,X2,X3,X4,X5),
c_0_376,
[final] ).
cnf(c_0_501,plain,
lhs_atom50(X1,X2,X3,X4,X5),
c_0_377,
[final] ).
cnf(c_0_502,plain,
lhs_atom20(X1,X2,X3,X4,X5),
c_0_378,
[final] ).
cnf(c_0_503,plain,
lhs_atom8(X1,X2,X3,X4,X5),
c_0_379,
[final] ).
cnf(c_0_504,plain,
lhs_atom95(X1,X2,X3,X4),
c_0_380,
[final] ).
cnf(c_0_505,plain,
lhs_atom92(X1,X2,X3,X4),
c_0_381,
[final] ).
cnf(c_0_506,plain,
lhs_atom91(X1,X2,X3,X4),
c_0_382,
[final] ).
cnf(c_0_507,plain,
lhs_atom86(X1,X2,X3,X4),
c_0_383,
[final] ).
cnf(c_0_508,plain,
lhs_atom85(X1,X2,X3,X4),
c_0_384,
[final] ).
cnf(c_0_509,plain,
lhs_atom69(X1,X2,X3,X4),
c_0_385,
[final] ).
cnf(c_0_510,plain,
lhs_atom68(X1,X2,X3,X4),
c_0_386,
[final] ).
cnf(c_0_511,plain,
lhs_atom64(X1,X2,X3,X4),
c_0_387,
[final] ).
cnf(c_0_512,plain,
lhs_atom63(X1,X2,X3,X4),
c_0_388,
[final] ).
cnf(c_0_513,plain,
lhs_atom57(X1,X2,X3,X4),
c_0_389,
[final] ).
cnf(c_0_514,plain,
lhs_atom56(X1,X2,X3,X4),
c_0_390,
[final] ).
cnf(c_0_515,plain,
lhs_atom44(X1,X2,X3,X4),
c_0_391,
[final] ).
cnf(c_0_516,plain,
lhs_atom43(X1,X2,X3,X4),
c_0_392,
[final] ).
cnf(c_0_517,plain,
lhs_atom41(X1,X2,X3,X4),
c_0_393,
[final] ).
cnf(c_0_518,plain,
lhs_atom40(X1,X2,X3,X4),
c_0_394,
[final] ).
cnf(c_0_519,plain,
lhs_atom32(X1,X2,X3,X4),
c_0_395,
[final] ).
cnf(c_0_520,plain,
lhs_atom29(X1,X2,X3,X4),
c_0_396,
[final] ).
cnf(c_0_521,plain,
lhs_atom26(X1,X2,X3,X4),
c_0_397,
[final] ).
cnf(c_0_522,plain,
lhs_atom23(X1,X2,X3,X4),
c_0_398,
[final] ).
cnf(c_0_523,plain,
lhs_atom22(X1,X2,X3,X4),
c_0_399,
[final] ).
cnf(c_0_524,plain,
lhs_atom16(X1,X2,X3,X4),
c_0_400,
[final] ).
cnf(c_0_525,plain,
lhs_atom14(X1,X2,X3,X4),
c_0_401,
[final] ).
cnf(c_0_526,plain,
lhs_atom9(X1,X2,X3,X4),
c_0_402,
[final] ).
cnf(c_0_527,plain,
lhs_atom7(X1,X2,X3,X4),
c_0_403,
[final] ).
cnf(c_0_528,plain,
lhs_atom6(X1,X2,X3,X4),
c_0_404,
[final] ).
cnf(c_0_529,plain,
lhs_atom3(X1,X2,X3,X4),
c_0_405,
[final] ).
cnf(c_0_530,plain,
lhs_atom2(X1,X2,X3,X4),
c_0_406,
[final] ).
cnf(c_0_531,plain,
lhs_atom107(X1,X2,X3),
c_0_407,
[final] ).
cnf(c_0_532,plain,
lhs_atom106(X1,X2,X3),
c_0_408,
[final] ).
cnf(c_0_533,plain,
lhs_atom105(X1,X2,X3),
c_0_409,
[final] ).
cnf(c_0_534,plain,
lhs_atom103(X1,X2,X3),
c_0_410,
[final] ).
cnf(c_0_535,plain,
lhs_atom101(X1,X2,X3),
c_0_411,
[final] ).
cnf(c_0_536,plain,
lhs_atom100(X1,X2,X3),
c_0_412,
[final] ).
cnf(c_0_537,plain,
lhs_atom98(X1,X2,X3),
c_0_413,
[final] ).
cnf(c_0_538,plain,
lhs_atom89(X1,X2,X3),
c_0_414,
[final] ).
cnf(c_0_539,plain,
lhs_atom87(X1,X2,X3),
c_0_415,
[final] ).
cnf(c_0_540,plain,
lhs_atom79(X1,X2,X3),
c_0_416,
[final] ).
cnf(c_0_541,plain,
lhs_atom78(X1,X2,X3),
c_0_417,
[final] ).
cnf(c_0_542,plain,
lhs_atom75(X1,X2,X3),
c_0_418,
[final] ).
cnf(c_0_543,plain,
lhs_atom73(X1,X2,X3),
c_0_419,
[final] ).
cnf(c_0_544,plain,
lhs_atom72(X1,X2,X3),
c_0_420,
[final] ).
cnf(c_0_545,plain,
lhs_atom45(X1,X2,X3),
c_0_421,
[final] ).
cnf(c_0_546,plain,
lhs_atom42(X1,X2,X3),
c_0_422,
[final] ).
cnf(c_0_547,plain,
lhs_atom39(X1,X2,X3),
c_0_423,
[final] ).
cnf(c_0_548,plain,
lhs_atom18(X1,X2,X3),
c_0_424,
[final] ).
cnf(c_0_549,plain,
lhs_atom36(X1,X2,X3),
c_0_425,
[final] ).
cnf(c_0_550,plain,
lhs_atom35(X1,X2,X3),
c_0_426,
[final] ).
cnf(c_0_551,plain,
lhs_atom34(X1,X2,X3),
c_0_427,
[final] ).
cnf(c_0_552,plain,
lhs_atom33(X1,X2,X3),
c_0_428,
[final] ).
cnf(c_0_553,plain,
lhs_atom31(X1,X2,X3),
c_0_429,
[final] ).
cnf(c_0_554,plain,
lhs_atom30(X1,X2,X3),
c_0_430,
[final] ).
cnf(c_0_555,plain,
lhs_atom25(X1,X2,X3),
c_0_431,
[final] ).
cnf(c_0_556,plain,
lhs_atom24(X1,X2,X3),
c_0_432,
[final] ).
cnf(c_0_557,plain,
lhs_atom21(X1,X2,X3),
c_0_433,
[final] ).
cnf(c_0_558,plain,
lhs_atom19(X1,X2,X3),
c_0_434,
[final] ).
cnf(c_0_559,plain,
lhs_atom18(X1,X2,X3),
c_0_435,
[final] ).
cnf(c_0_560,plain,
lhs_atom17(X1,X2,X3),
c_0_436,
[final] ).
cnf(c_0_561,plain,
lhs_atom15(X1,X2,X3),
c_0_437,
[final] ).
cnf(c_0_562,plain,
lhs_atom13(X1,X2,X3),
c_0_438,
[final] ).
cnf(c_0_563,plain,
lhs_atom12(X1,X2,X3),
c_0_439,
[final] ).
cnf(c_0_564,plain,
lhs_atom11(X1,X2,X3),
c_0_440,
[final] ).
cnf(c_0_565,plain,
lhs_atom10(X1,X2,X3),
c_0_441,
[final] ).
cnf(c_0_566,plain,
lhs_atom123(X1,X2),
c_0_442,
[final] ).
cnf(c_0_567,plain,
lhs_atom110(X1,X2),
c_0_443,
[final] ).
cnf(c_0_568,plain,
lhs_atom109(X1,X2),
c_0_444,
[final] ).
cnf(c_0_569,plain,
lhs_atom108(X1,X2),
c_0_445,
[final] ).
cnf(c_0_570,plain,
lhs_atom104(X1,X2),
c_0_446,
[final] ).
cnf(c_0_571,plain,
lhs_atom99(X1,X2),
c_0_447,
[final] ).
cnf(c_0_572,plain,
lhs_atom93(X1,X2),
c_0_448,
[final] ).
cnf(c_0_573,plain,
lhs_atom90(X1,X2),
c_0_449,
[final] ).
cnf(c_0_574,plain,
lhs_atom84(X1,X2),
c_0_450,
[final] ).
cnf(c_0_575,plain,
lhs_atom82(X1,X2),
c_0_451,
[final] ).
cnf(c_0_576,plain,
lhs_atom81(X1,X2),
c_0_452,
[final] ).
cnf(c_0_577,plain,
lhs_atom80(X1,X2),
c_0_453,
[final] ).
cnf(c_0_578,plain,
lhs_atom76(X1,X2),
c_0_454,
[final] ).
cnf(c_0_579,plain,
lhs_atom71(X1,X2),
c_0_455,
[final] ).
cnf(c_0_580,plain,
lhs_atom70(X1,X2),
c_0_456,
[final] ).
cnf(c_0_581,plain,
lhs_atom67(X1,X2),
c_0_457,
[final] ).
cnf(c_0_582,plain,
lhs_atom66(X1,X2),
c_0_458,
[final] ).
cnf(c_0_583,plain,
lhs_atom62(X1,X2),
c_0_459,
[final] ).
cnf(c_0_584,plain,
lhs_atom60(X1,X2),
c_0_460,
[final] ).
cnf(c_0_585,plain,
lhs_atom59(X1,X2),
c_0_461,
[final] ).
cnf(c_0_586,plain,
lhs_atom58(X1,X2),
c_0_462,
[final] ).
cnf(c_0_587,plain,
lhs_atom55(X1,X2),
c_0_463,
[final] ).
cnf(c_0_588,plain,
lhs_atom54(X1,X2),
c_0_464,
[final] ).
cnf(c_0_589,plain,
lhs_atom53(X1,X2),
c_0_465,
[final] ).
cnf(c_0_590,plain,
lhs_atom52(X1,X2),
c_0_466,
[final] ).
cnf(c_0_591,plain,
lhs_atom51(X1,X2),
c_0_467,
[final] ).
cnf(c_0_592,plain,
lhs_atom48(X1,X2),
c_0_468,
[final] ).
cnf(c_0_593,plain,
lhs_atom47(X1,X2),
c_0_469,
[final] ).
cnf(c_0_594,plain,
lhs_atom38(X1,X2),
c_0_470,
[final] ).
cnf(c_0_595,plain,
lhs_atom37(X1,X2),
c_0_471,
[final] ).
cnf(c_0_596,plain,
lhs_atom28(X1,X2),
c_0_472,
[final] ).
cnf(c_0_597,plain,
lhs_atom27(X1,X2),
c_0_473,
[final] ).
cnf(c_0_598,plain,
lhs_atom5(X1,X2),
c_0_474,
[final] ).
cnf(c_0_599,plain,
lhs_atom4(X1,X2),
c_0_475,
[final] ).
cnf(c_0_600,plain,
lhs_atom1(X1,X2),
c_0_476,
[final] ).
cnf(c_0_601,plain,
lhs_atom102(X1),
c_0_477,
[final] ).
cnf(c_0_602,plain,
lhs_atom96(X1),
c_0_478,
[final] ).
cnf(c_0_603,plain,
lhs_atom88(X1),
c_0_479,
[final] ).
cnf(c_0_604,plain,
lhs_atom65(X1),
c_0_480,
[final] ).
cnf(c_0_605,plain,
lhs_atom61(X1),
c_0_481,
[final] ).
cnf(c_0_606,plain,
lhs_atom49(X1),
c_0_482,
[final] ).
cnf(c_0_607,plain,
lhs_atom46(X1),
c_0_483,
[final] ).
cnf(c_0_608,plain,
lhs_atom122,
c_0_484,
[final] ).
cnf(c_0_609,plain,
lhs_atom121,
c_0_485,
[final] ).
cnf(c_0_610,plain,
lhs_atom120,
c_0_486,
[final] ).
cnf(c_0_611,plain,
lhs_atom119,
c_0_487,
[final] ).
cnf(c_0_612,plain,
lhs_atom118,
c_0_488,
[final] ).
cnf(c_0_613,plain,
lhs_atom117,
c_0_489,
[final] ).
cnf(c_0_614,plain,
lhs_atom116,
c_0_490,
[final] ).
cnf(c_0_615,plain,
lhs_atom115,
c_0_491,
[final] ).
cnf(c_0_616,plain,
lhs_atom114,
c_0_492,
[final] ).
cnf(c_0_617,plain,
lhs_atom113,
c_0_493,
[final] ).
cnf(c_0_618,plain,
lhs_atom112,
c_0_494,
[final] ).
cnf(c_0_619,plain,
lhs_atom111,
c_0_495,
[final] ).
% End CNF derivation
cnf(c_0_496_0,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_496,def_lhs_atom97]) ).
cnf(c_0_497_0,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_497,def_lhs_atom94]) ).
cnf(c_0_498_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
inference(unfold_definition,[status(thm)],[c_0_498,def_lhs_atom83]) ).
cnf(c_0_499_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_499,def_lhs_atom77]) ).
cnf(c_0_500_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_500,def_lhs_atom74]) ).
cnf(c_0_501_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_501,def_lhs_atom50]) ).
cnf(c_0_502_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_502,def_lhs_atom20]) ).
cnf(c_0_503_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_503,def_lhs_atom8]) ).
cnf(c_0_504_0,axiom,
c_HOL_Ominus__class_Ominus(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_504,def_lhs_atom95]) ).
cnf(c_0_505_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_505,def_lhs_atom92]) ).
cnf(c_0_506_0,axiom,
c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_506,def_lhs_atom91]) ).
cnf(c_0_507_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_507,def_lhs_atom86]) ).
cnf(c_0_508_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_508,def_lhs_atom85]) ).
cnf(c_0_509_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2,tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_509,def_lhs_atom69]) ).
cnf(c_0_510_0,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_510,def_lhs_atom68]) ).
cnf(c_0_511_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_511,def_lhs_atom64]) ).
cnf(c_0_512_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_512,def_lhs_atom63]) ).
cnf(c_0_513_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_513,def_lhs_atom57]) ).
cnf(c_0_514_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_514,def_lhs_atom56]) ).
cnf(c_0_515_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X3,X4),c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X4),
inference(unfold_definition,[status(thm)],[c_0_515,def_lhs_atom44]) ).
cnf(c_0_516_0,axiom,
c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X3,X4),X3),
inference(unfold_definition,[status(thm)],[c_0_516,def_lhs_atom43]) ).
cnf(c_0_517_0,axiom,
c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X2,tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_517,def_lhs_atom41]) ).
cnf(c_0_518_0,axiom,
c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_518,def_lhs_atom40]) ).
cnf(c_0_519_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_519,def_lhs_atom32]) ).
cnf(c_0_520_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_520,def_lhs_atom29]) ).
cnf(c_0_521_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_521,def_lhs_atom26]) ).
cnf(c_0_522_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_522,def_lhs_atom23]) ).
cnf(c_0_523_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_523,def_lhs_atom22]) ).
cnf(c_0_524_0,axiom,
c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_524,def_lhs_atom16]) ).
cnf(c_0_525_0,axiom,
c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4) = c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),
inference(unfold_definition,[status(thm)],[c_0_525,def_lhs_atom14]) ).
cnf(c_0_526_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_526,def_lhs_atom9]) ).
cnf(c_0_527_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
inference(unfold_definition,[status(thm)],[c_0_527,def_lhs_atom7]) ).
cnf(c_0_528_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X3,X4),X2,tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
inference(unfold_definition,[status(thm)],[c_0_528,def_lhs_atom6]) ).
cnf(c_0_529_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_529,def_lhs_atom3]) ).
cnf(c_0_530_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_530,def_lhs_atom2]) ).
cnf(c_0_531_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_531,def_lhs_atom107]) ).
cnf(c_0_532_0,axiom,
c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_532,def_lhs_atom106]) ).
cnf(c_0_533_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_533,def_lhs_atom105]) ).
cnf(c_0_534_0,axiom,
c_lessequals(X2,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_534,def_lhs_atom103]) ).
cnf(c_0_535_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_535,def_lhs_atom101]) ).
cnf(c_0_536_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_536,def_lhs_atom100]) ).
cnf(c_0_537_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_537,def_lhs_atom98]) ).
cnf(c_0_538_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_538,def_lhs_atom89]) ).
cnf(c_0_539_0,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(unfold_definition,[status(thm)],[c_0_539,def_lhs_atom87]) ).
cnf(c_0_540_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oinsert(X1,X2,X3),
inference(unfold_definition,[status(thm)],[c_0_540,def_lhs_atom79]) ).
cnf(c_0_541_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2,
inference(unfold_definition,[status(thm)],[c_0_541,def_lhs_atom78]) ).
cnf(c_0_542_0,axiom,
c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_542,def_lhs_atom75]) ).
cnf(c_0_543_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_543,def_lhs_atom73]) ).
cnf(c_0_544_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_544,def_lhs_atom72]) ).
cnf(c_0_545_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(unfold_definition,[status(thm)],[c_0_545,def_lhs_atom45]) ).
cnf(c_0_546_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_546,def_lhs_atom42]) ).
cnf(c_0_547_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_547,def_lhs_atom39]) ).
cnf(c_0_548_0,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_548,def_lhs_atom18]) ).
cnf(c_0_549_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_549,def_lhs_atom36]) ).
cnf(c_0_550_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_550,def_lhs_atom35]) ).
cnf(c_0_551_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_551,def_lhs_atom34]) ).
cnf(c_0_552_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_552,def_lhs_atom33]) ).
cnf(c_0_553_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_553,def_lhs_atom31]) ).
cnf(c_0_554_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_554,def_lhs_atom30]) ).
cnf(c_0_555_0,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
inference(unfold_definition,[status(thm)],[c_0_555,def_lhs_atom25]) ).
cnf(c_0_556_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_556,def_lhs_atom24]) ).
cnf(c_0_557_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2),
inference(unfold_definition,[status(thm)],[c_0_557,def_lhs_atom21]) ).
cnf(c_0_558_0,axiom,
c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_558,def_lhs_atom19]) ).
cnf(c_0_559_0,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_559,def_lhs_atom18]) ).
cnf(c_0_560_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
inference(unfold_definition,[status(thm)],[c_0_560,def_lhs_atom17]) ).
cnf(c_0_561_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_561,def_lhs_atom15]) ).
cnf(c_0_562_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_562,def_lhs_atom13]) ).
cnf(c_0_563_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_563,def_lhs_atom12]) ).
cnf(c_0_564_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_564,def_lhs_atom11]) ).
cnf(c_0_565_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_565,def_lhs_atom10]) ).
cnf(c_0_566_0,axiom,
c_fequal(X1,X1,X2),
inference(unfold_definition,[status(thm)],[c_0_566,def_lhs_atom123]) ).
cnf(c_0_567_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_567,def_lhs_atom110]) ).
cnf(c_0_568_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_568,def_lhs_atom109]) ).
cnf(c_0_569_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
inference(unfold_definition,[status(thm)],[c_0_569,def_lhs_atom108]) ).
cnf(c_0_570_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_570,def_lhs_atom104]) ).
cnf(c_0_571_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_571,def_lhs_atom99]) ).
cnf(c_0_572_0,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(unfold_definition,[status(thm)],[c_0_572,def_lhs_atom93]) ).
cnf(c_0_573_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_573,def_lhs_atom90]) ).
cnf(c_0_574_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_574,def_lhs_atom84]) ).
cnf(c_0_575_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(unfold_definition,[status(thm)],[c_0_575,def_lhs_atom82]) ).
cnf(c_0_576_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(unfold_definition,[status(thm)],[c_0_576,def_lhs_atom81]) ).
cnf(c_0_577_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(unfold_definition,[status(thm)],[c_0_577,def_lhs_atom80]) ).
cnf(c_0_578_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_578,def_lhs_atom76]) ).
cnf(c_0_579_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1)),
inference(unfold_definition,[status(thm)],[c_0_579,def_lhs_atom71]) ).
cnf(c_0_580_0,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_580,def_lhs_atom70]) ).
cnf(c_0_581_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_581,def_lhs_atom67]) ).
cnf(c_0_582_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_582,def_lhs_atom66]) ).
cnf(c_0_583_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),
inference(unfold_definition,[status(thm)],[c_0_583,def_lhs_atom62]) ).
cnf(c_0_584_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_584,def_lhs_atom60]) ).
cnf(c_0_585_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_585,def_lhs_atom59]) ).
cnf(c_0_586_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_586,def_lhs_atom58]) ).
cnf(c_0_587_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom55]) ).
cnf(c_0_588_0,axiom,
c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom54]) ).
cnf(c_0_589_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom53]) ).
cnf(c_0_590_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_590,def_lhs_atom52]) ).
cnf(c_0_591_0,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
inference(unfold_definition,[status(thm)],[c_0_591,def_lhs_atom51]) ).
cnf(c_0_592_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_592,def_lhs_atom48]) ).
cnf(c_0_593_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_593,def_lhs_atom47]) ).
cnf(c_0_594_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_594,def_lhs_atom38]) ).
cnf(c_0_595_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_595,def_lhs_atom37]) ).
cnf(c_0_596_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_596,def_lhs_atom28]) ).
cnf(c_0_597_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_597,def_lhs_atom27]) ).
cnf(c_0_598_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_598,def_lhs_atom5]) ).
cnf(c_0_599_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_599,def_lhs_atom4]) ).
cnf(c_0_600_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(unfold_definition,[status(thm)],[c_0_600,def_lhs_atom1]) ).
cnf(c_0_601_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_601,def_lhs_atom102]) ).
cnf(c_0_602_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_602,def_lhs_atom96]) ).
cnf(c_0_603_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_603,def_lhs_atom88]) ).
cnf(c_0_604_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_604,def_lhs_atom65]) ).
cnf(c_0_605_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_605,def_lhs_atom61]) ).
cnf(c_0_606_0,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(unfold_definition,[status(thm)],[c_0_606,def_lhs_atom49]) ).
cnf(c_0_607_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(unfold_definition,[status(thm)],[c_0_607,def_lhs_atom46]) ).
cnf(c_0_608_0,axiom,
class_HOL_Oord(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_608,def_lhs_atom122]) ).
cnf(c_0_609_0,axiom,
class_Orderings_Obot(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_609,def_lhs_atom121]) ).
cnf(c_0_610_0,axiom,
class_Orderings_Otop(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_610,def_lhs_atom120]) ).
cnf(c_0_611_0,axiom,
class_Orderings_Oorder(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_611,def_lhs_atom119]) ).
cnf(c_0_612_0,axiom,
class_Lattices_Olattice(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_612,def_lhs_atom118]) ).
cnf(c_0_613_0,axiom,
class_Orderings_Opreorder(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_613,def_lhs_atom117]) ).
cnf(c_0_614_0,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_614,def_lhs_atom116]) ).
cnf(c_0_615_0,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_615,def_lhs_atom115]) ).
cnf(c_0_616_0,axiom,
class_Lattices_Obounded__lattice(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_616,def_lhs_atom114]) ).
cnf(c_0_617_0,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_617,def_lhs_atom113]) ).
cnf(c_0_618_0,axiom,
class_Lattices_Olower__semilattice(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_618,def_lhs_atom112]) ).
cnf(c_0_619_0,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
inference(unfold_definition,[status(thm)],[c_0_619,def_lhs_atom111]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X8,X12,X13,X9,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__on__Un_3) ).
fof(c_0_1_002,axiom,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(X8,X7,tc_fun(X3,X9))
| ~ c_lessequals(hAPP(X8,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X8,X7,X3,X9)),hAPP(X7,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X8,X7,X3,X9)),X9) ),
file('<stdin>',cls_le__funI_0) ).
fof(c_0_2_003,axiom,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(X8,X7,tc_fun(X3,X9))
| ~ c_lessequals(hAPP(X8,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X8,X7,X3,X9)),hAPP(X7,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X8,X7,X3,X9)),X9) ),
file('<stdin>',cls_le__fun__def_1) ).
fof(c_0_3_004,axiom,
! [X8,X24,X13,X9,X3] :
( ~ c_in(hAPP(X8,X24),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9)
| ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X24,X13,X3),X3,X9) ),
file('<stdin>',cls_inj__on__insert_1) ).
fof(c_0_4_005,axiom,
! [X8,X24,X13,X9,X3] :
( c_Fun_Oinj__on(X8,c_Set_Oinsert(X24,X13,X3),X3,X9)
| c_in(hAPP(X8,X24),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9) ),
file('<stdin>',cls_inj__on__insert_2) ).
fof(c_0_5_006,axiom,
! [X8,X12,X13,X9,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__on__Un_2) ).
fof(c_0_6_007,axiom,
! [X8,X13,X9,X3] :
( c_lessequals(c_Set_Oimage(X8,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3,X9),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X8,X13,X3,X9),tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__image__Compl__subset_0) ).
fof(c_0_7_008,axiom,
! [X8,X12,X13,X9,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__image__subset__iff_0) ).
fof(c_0_8_009,axiom,
! [X8,X17,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,X17,X3,X9) ),
file('<stdin>',cls_inj__on__image__Int_0) ).
fof(c_0_9_010,axiom,
! [X8,X17,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,X17,X3,X9) ),
file('<stdin>',cls_inj__on__image__set__diff_0) ).
fof(c_0_10_011,axiom,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Ovimage(X8,X12,X3,X9),X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,c_Set_Oimage(X8,X13,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_vimage__subsetI_0) ).
fof(c_0_11_012,axiom,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_image__set__diff_0) ).
fof(c_0_12_013,axiom,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_image__Int_0) ).
fof(c_0_13_014,axiom,
! [X6,X8,X13,X9,X3] :
( hBOOL(hAPP(X13,hAPP(X8,X6)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X8,X13,X3,X9),X6)) ),
file('<stdin>',cls_vimage__code_0) ).
fof(c_0_14_015,axiom,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__image__subset__iff_1) ).
fof(c_0_15_016,axiom,
! [X8,X13,X3] :
( c_Set_Oimage(X8,X13,X3,X3) = X13
| ~ c_Fun_Oinj__on(X8,X13,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X8,X13,X3,X3),X13,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_endo__inj__surj_0) ).
fof(c_0_16_017,axiom,
! [X8,X23,X24,X9,X3] :
( hAPP(X8,X24) = X23
| ~ c_in(X24,c_Set_Ovimage(X8,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X3,X9),X3) ),
file('<stdin>',cls_vimage__singleton__eq_0) ).
fof(c_0_17_018,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_9) ).
fof(c_0_18_019,axiom,
! [X8,X24,X13,X9,X3] :
( c_in(X24,X13,X3)
| ~ c_in(hAPP(X8,X24),c_Set_Oimage(X8,X13,X3,X9),X9)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__image__mem__iff_0) ).
fof(c_0_19_020,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_8) ).
fof(c_0_20_021,axiom,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,X13,X3,X9) != c_Set_Oimage(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9)
| X13 = X12 ),
file('<stdin>',cls_inj__on__Un__image__eq__iff_0) ).
fof(c_0_21_022,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| c_in(X6,X12,X3) ),
file('<stdin>',cls_psubset__insert__iff_5) ).
fof(c_0_22_023,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| c_in(X6,X12,X3) ),
file('<stdin>',cls_psubset__insert__iff_4) ).
fof(c_0_23_024,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insert__iff_4) ).
fof(c_0_24_025,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insert__iff_3) ).
fof(c_0_25_026,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_diff__single__insert_0) ).
fof(c_0_26_027,axiom,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,X13,X3,X9) != c_Set_Oimage(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
| X13 = X12 ),
file('<stdin>',cls_inj__image__eq__iff_0) ).
fof(c_0_27_028,axiom,
! [X8,X13,X9,X3] :
( c_Set_Ovimage(X8,c_Set_Oimage(X8,X13,X3,X9),X3,X9) = X13
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__vimage__image__eq_0) ).
fof(c_0_28_029,axiom,
! [X8,X13,X9,X3] :
( c_Finite__Set_Ofinite(X13,X9)
| ~ c_Fun_Oinj__on(X8,X13,X9,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X8,X13,X9,X3),X3) ),
file('<stdin>',cls_finite__imageD_0) ).
fof(c_0_29_030,axiom,
! [X6,X8,X13,X9,X3] :
( ~ c_lessequals(X6,X13,tc_fun(X9,tc_bool))
| c_lessequals(c_Set_Oimage(X8,X6,X9,X3),c_Set_Oimage(X8,X13,X9,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__image__iff_2) ).
fof(c_0_30_031,axiom,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_image__mono_0) ).
fof(c_0_31_032,axiom,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Ovimage(X8,X13,X9,X3),c_Set_Ovimage(X8,X12,X9,X3),tc_fun(X9,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_vimage__mono_0) ).
fof(c_0_32_033,axiom,
! [X8,X13,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X3)
| ~ c_lessequals(X13,c_Set_Oimage(X8,X13,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite__surj__inj_0) ).
fof(c_0_33_034,axiom,
! [X6,X8,X13,X9,X3] :
( hBOOL(hAPP(c_Set_Ovimage(X8,X13,X3,X9),X6))
| ~ hBOOL(hAPP(X13,hAPP(X8,X6))) ),
file('<stdin>',cls_vimage__code_1) ).
fof(c_0_34_035,axiom,
! [X8,X24,X13,X9,X3] :
( c_in(hAPP(X8,X24),c_Set_Oimage(X8,X13,X3,X9),X9)
| ~ c_in(X24,X13,X3)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__image__mem__iff_1) ).
fof(c_0_35_036,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_1) ).
fof(c_0_36_037,axiom,
! [X6,X8,X12,X13,X9,X3] :
( c_in(hAPP(X8,X6),X12,X3)
| ~ c_in(X6,X13,X9)
| ~ c_lessequals(c_Set_Oimage(X8,X13,X9,X3),X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_image__subset__iff_0) ).
fof(c_0_37_038,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insert__iff_0) ).
fof(c_0_38_039,axiom,
! [X35,X36,X9,X3] :
( c_Finite__Set_Ofinite(c_Set_Ovimage(X35,X36,X9,X3),X9)
| ~ c_Fun_Oinj__on(X35,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
file('<stdin>',cls_finite__vimageI_0) ).
fof(c_0_39_040,axiom,
! [X8,X24,X12,X9,X3] :
( c_in(hAPP(X8,X24),X12,X9)
| ~ c_in(X24,c_Set_Ovimage(X8,X12,X3,X9),X3) ),
file('<stdin>',cls_vimageE_0) ).
fof(c_0_40_041,axiom,
! [X8,X24,X13,X9,X3] :
( c_in(hAPP(X8,X24),X13,X9)
| ~ c_in(X24,c_Set_Ovimage(X8,X13,X3,X9),X3) ),
file('<stdin>',cls_vimageD_0) ).
fof(c_0_41_042,axiom,
! [X8,X12,X13,X9,X3] :
( c_Finite__Set_Ofinite(X12,X9)
| ~ c_lessequals(X12,c_Set_Oimage(X8,X13,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite__surj_0) ).
fof(c_0_42_043,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3),X3) ),
file('<stdin>',cls_distrib__inf__le_0) ).
fof(c_0_43_044,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3),X3) ),
file('<stdin>',cls_distrib__sup__le_0) ).
fof(c_0_44_045,axiom,
! [X6,X8,X13,X9,X3] :
( c_Set_Oinsert(hAPP(X8,X6),c_Set_Oimage(X8,X13,X3,X9),X9) = c_Set_Oimage(X8,X13,X3,X9)
| ~ c_in(X6,X13,X3) ),
file('<stdin>',cls_insert__image_0) ).
fof(c_0_45_046,axiom,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__on__Un_1) ).
fof(c_0_46_047,axiom,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
file('<stdin>',cls_inj__on__Un_0) ).
fof(c_0_47_048,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X24 = X21
| X24 = X22 ),
file('<stdin>',cls_doubleton__eq__iff_0) ).
fof(c_0_48_049,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X23 = X22
| X24 = X22 ),
file('<stdin>',cls_doubleton__eq__iff_1) ).
fof(c_0_49_050,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X24 = X21
| X23 = X21 ),
file('<stdin>',cls_doubleton__eq__iff_2) ).
fof(c_0_50_051,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X23 = X22
| X23 = X21 ),
file('<stdin>',cls_doubleton__eq__iff_3) ).
fof(c_0_51_052,axiom,
! [X8,X24,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X24,X13,X3),X3,X9) ),
file('<stdin>',cls_inj__on__insert_0) ).
fof(c_0_52_053,axiom,
! [X17,X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__Int__assoc__eq_0) ).
fof(c_0_53_054,axiom,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9) ),
file('<stdin>',cls_inj__on__diff_0) ).
fof(c_0_54_055,axiom,
! [X24,X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_finite__Diff__insert_0) ).
fof(c_0_55_056,axiom,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X9)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,X12,X3,X9) ),
file('<stdin>',cls_subset__inj__on_0) ).
fof(c_0_56_057,axiom,
! [X24,X13,X3] :
( c_Set_Oinsert(X24,c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X13
| ~ c_in(X24,X13,X3) ),
file('<stdin>',cls_insert__Diff_0) ).
fof(c_0_57_058,axiom,
! [X8,X24,X12,X9,X3] :
( c_in(X24,c_Set_Ovimage(X8,X12,X3,X9),X3)
| ~ c_in(hAPP(X8,X24),X12,X9) ),
file('<stdin>',cls_vimage__eq_1) ).
fof(c_0_58_059,axiom,
! [X8,X24,X13,X9,X3] :
( c_in(X24,c_Set_Ovimage(X8,X13,X9,X3),X9)
| ~ c_in(hAPP(X8,X24),X13,X3) ),
file('<stdin>',cls_vimageI2_0) ).
fof(c_0_59_060,axiom,
! [X8,X24,X12,X9,X3] :
( c_in(X24,c_Set_Ovimage(X8,X12,X9,X3),X9)
| ~ c_in(hAPP(X8,X24),X12,X3) ),
file('<stdin>',cls_vimageI_0) ).
fof(c_0_60_061,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X23,X21,X3)
| c_HOL_Oord__class_Oless(X22,X24,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_2) ).
fof(c_0_61_062,axiom,
! [X6,X8,X13,X37,X3] :
( ~ c_in(X6,X13,X37)
| c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X37,X3),X3) ),
file('<stdin>',cls_rev__image__eqI_0) ).
fof(c_0_62_063,axiom,
! [X6,X8,X13,X9,X3] :
( ~ c_in(X6,X13,X9)
| c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X9,X3),X3) ),
file('<stdin>',cls_image__iff_2) ).
fof(c_0_63_064,axiom,
! [X6,X8,X13,X9,X3] :
( c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X9,X3),X3)
| ~ c_in(X6,X13,X9) ),
file('<stdin>',cls_image__eqI_0) ).
fof(c_0_64_065,axiom,
! [X6,X8,X13,X9,X3] :
( c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X3,X9),X9)
| ~ c_in(X6,X13,X3) ),
file('<stdin>',cls_imageI_0) ).
fof(c_0_65_066,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X22,X21,X3)
| ~ c_HOL_Oord__class_Oless(X23,X21,X3)
| ~ c_lessequals(X23,X21,X3)
| ~ c_lessequals(X22,X24,X3) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_6) ).
fof(c_0_66_067,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X22,X21,X3)
| ~ c_HOL_Oord__class_Oless(X22,X24,X3)
| ~ c_lessequals(X23,X21,X3)
| ~ c_lessequals(X22,X24,X3) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_5) ).
fof(c_0_67_068,axiom,
! [X24,X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_finite__Diff__insert_1) ).
fof(c_0_68_069,axiom,
! [X25,X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X17,X25,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X25,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__mono_0) ).
fof(c_0_69_070,axiom,
! [X25,X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X17,X25,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X25,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__mono_0) ).
fof(c_0_70_071,axiom,
! [X25,X17,X12,X13,X3] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X17,X25,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X25,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Diff__mono_0) ).
fof(c_0_71_072,axiom,
! [X14,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_in(X14,X13,X3)
| ~ c_in(X6,X13,X3)
| X6 = X14
| ~ c_Fun_Oinj__on(X8,X13,X3,X9) ),
file('<stdin>',cls_inj__on__contraD_0) ).
fof(c_0_72_073,axiom,
! [X14,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_in(X14,X13,X3)
| ~ c_in(X6,X13,X3)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| X6 = X14 ),
file('<stdin>',cls_inj__on__iff_0) ).
fof(c_0_73_074,axiom,
! [X38,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X38)
| ~ c_in(X38,X13,X3)
| ~ c_in(X6,X13,X3)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| X6 = X38 ),
file('<stdin>',cls_inj__on__def_0) ).
fof(c_0_74_075,axiom,
! [X14,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| X6 = X14
| ~ c_in(X14,X13,X3)
| ~ c_in(X6,X13,X3) ),
file('<stdin>',cls_inj__onD_0) ).
fof(c_0_75_076,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X24,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_0) ).
fof(c_0_76_077,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X23,X21,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_1) ).
fof(c_0_77_078,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X24,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastatMost__subset__iff_0) ).
fof(c_0_78_079,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X23,X21,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastatMost__subset__iff_1) ).
fof(c_0_79_080,axiom,
! [X8,X12,X13,X9,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ class_Lattices_Oupper__semilattice(X9)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X8,X13),hAPP(X8,X12),X9),hAPP(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X3)),X9)
| ~ c_Orderings_Oorder__class_Omono(X8,X3,X9) ),
file('<stdin>',cls_mono__sup_0) ).
fof(c_0_80_081,axiom,
! [X8,X12,X13,X9,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| ~ class_Lattices_Olower__semilattice(X9)
| c_lessequals(hAPP(X8,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X3)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X8,X13),hAPP(X8,X12),X9),X9)
| ~ c_Orderings_Oorder__class_Omono(X8,X3,X9) ),
file('<stdin>',cls_mono__inf_0) ).
fof(c_0_81_082,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Diff__subset__conv_1) ).
fof(c_0_82_083,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Diff__subset__conv_0) ).
fof(c_0_83_084,axiom,
! [X6,X13,X3] :
( X13 = c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__singletonD_0) ).
fof(c_0_84_085,axiom,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(X12,X6))
| hBOOL(hAPP(X13,X6))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X6)) ),
file('<stdin>',cls_sup1E_0) ).
fof(c_0_85_086,axiom,
! [X17,X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__Int__assoc__eq_1) ).
fof(c_0_86_087,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X22,X24,X3)
| c_lessequals(X23,X24,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastLessThan__subset__iff_0) ).
fof(c_0_87_088,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X23,X21,X3)
| c_lessequals(X23,X24,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastLessThan__subset__iff_1) ).
fof(c_0_88_089,axiom,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(X12,X6))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X6)) ),
file('<stdin>',cls_inf1E_1) ).
fof(c_0_89_090,axiom,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(X13,X6))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X6)) ),
file('<stdin>',cls_inf1E_0) ).
fof(c_0_90_091,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3)
| ~ c_lessequals(X28,X27,X3) ),
file('<stdin>',cls_ivl__disj__un_I6_J_0) ).
fof(c_0_91_092,axiom,
! [X35,X36,X9,X3] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X35,X36,X3,X9),X9)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
file('<stdin>',cls_finite__imageI_0) ).
fof(c_0_92_093,axiom,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastLessThan(X33,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3)
| ~ c_lessequals(X33,X27,X3)
| ~ c_lessequals(X28,X33,X3) ),
file('<stdin>',cls_ivl__disj__un_I17_J_0) ).
fof(c_0_93_094,axiom,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastAtMost(X33,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3)
| ~ c_lessequals(X33,X27,X3)
| ~ c_lessequals(X28,X33,X3) ),
file('<stdin>',cls_ivl__disj__un_I21_J_0) ).
fof(c_0_94_095,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X21,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_3) ).
fof(c_0_95_096,axiom,
! [X14,X6,X8,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
| X6 = X14 ),
file('<stdin>',cls_injD_0) ).
fof(c_0_96_097,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_7) ).
fof(c_0_97_098,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_2) ).
fof(c_0_98_099,axiom,
! [X24,X17,X12,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X24,X12,X3),X17,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X24,c_Lattices_Olower__semilattice__class_Oinf(X12,X17,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X24,X17,X3) ),
file('<stdin>',cls_Int__insert__left_0) ).
fof(c_0_99_100,axiom,
! [X24,X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X24,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X24,X13,X3) ),
file('<stdin>',cls_Int__insert__right_0) ).
fof(c_0_100_101,axiom,
! [X17,X12,X13,X3] :
( c_HOL_Ominus__class_Ominus(X12,c_HOL_Ominus__class_Ominus(X17,X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X13
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_double__diff_0) ).
fof(c_0_101_102,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__subset__iff_2) ).
fof(c_0_102_103,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__greatest_0) ).
fof(c_0_103_104,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__subset__iff_2) ).
fof(c_0_104_105,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__least_0) ).
fof(c_0_105_106,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X23,X21,X3)
| ~ c_lessequals(X22,X24,X3) ),
file('<stdin>',cls_atLeastatMost__subset__iff_3) ).
fof(c_0_106_107,axiom,
! [X18,X19,X3] :
( c_lessequals(X19,X18,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X18,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X19,X18,X3))) ),
file('<stdin>',cls_predicate1I_1) ).
fof(c_0_107_108,axiom,
! [X8,X13,X9,X3] :
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X8,X13,X9,X3)
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
file('<stdin>',cls_empty__is__image_0) ).
fof(c_0_108_109,axiom,
! [X8,X13,X9,X3] :
( c_Set_Oimage(X8,X13,X9,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
file('<stdin>',cls_image__is__empty_0) ).
fof(c_0_109_110,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_0) ).
fof(c_0_110_111,axiom,
! [X6,X13,X3] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X13,X3),c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X13
| c_in(X6,X13,X3) ),
file('<stdin>',cls_Diff__insert__absorb_0) ).
fof(c_0_111_112,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X6,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| c_in(X6,X12,X3) ),
file('<stdin>',cls_insert__Diff__if_1) ).
fof(c_0_112_113,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X22,X21,X3)
| c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_atLeastatMost__psubset__iff_4) ).
fof(c_0_113_114,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__subset__iff_1) ).
fof(c_0_114_115,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__subset__iff_0) ).
fof(c_0_115_116,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X17,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__subset__iff_1) ).
fof(c_0_116_117,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X17,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__subset__iff_0) ).
fof(c_0_117_118,axiom,
! [X32,X33,X34,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X34,X33,X3),c_SetInterval_Oord__class_OatLeastLessThan(X34,X32,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X32,X33,X3)
| ~ c_lessequals(X34,X32,X3) ),
file('<stdin>',cls_ivl__diff_0) ).
fof(c_0_118_119,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X14,X6,X3),c_Lattices_Olower__semilattice__class_Oinf(X16,X6,X3),X3) ),
file('<stdin>',cls_inf__sup__distrib2_0) ).
fof(c_0_119_120,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3) ),
file('<stdin>',cls_inf__sup__distrib1_0) ).
fof(c_0_120_121,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X14,X6,X3),c_Lattices_Oupper__semilattice__class_Osup(X16,X6,X3),X3) ),
file('<stdin>',cls_sup__inf__distrib2_0) ).
fof(c_0_121_122,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3) ),
file('<stdin>',cls_sup__inf__distrib1_0) ).
fof(c_0_122_123,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| c_in(X22,X13,X3)
| ~ c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_UnE_0) ).
fof(c_0_123_124,axiom,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X6))
| ~ hBOOL(hAPP(X12,X6))
| ~ hBOOL(hAPP(X13,X6)) ),
file('<stdin>',cls_inf1I_0) ).
fof(c_0_124_125,axiom,
! [X31,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X31,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OlessThan(X31,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X31,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_single__Diff__lessThan_0) ).
fof(c_0_125_126,axiom,
! [X12,X13,X3] :
( c_lessequals(X12,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Compl__subset__Compl__iff_0) ).
fof(c_0_126_127,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| ~ c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insert__iff_1) ).
fof(c_0_127_128,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| c_in(X6,X13,X3) ),
file('<stdin>',cls_subset__insert_0) ).
fof(c_0_128_129,axiom,
! [X23,X24,X3] :
( X23 = X24
| ~ c_in(X23,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('<stdin>',cls_singletonE_0) ).
fof(c_0_129_130,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| c_in(X6,X12,X3) ),
file('<stdin>',cls_psubset__insert__iff_3) ).
fof(c_0_130_131,axiom,
! [X14,X6,X13,X3] :
( hBOOL(hAPP(X13,X6))
| X14 = X6
| ~ hBOOL(hAPP(c_Set_Oinsert(X14,X13,X3),X6)) ),
file('<stdin>',cls_insert__code_0) ).
fof(c_0_131_132,axiom,
! [X24,X25,X17,X3] :
( c_lessequals(c_Set_Oinsert(X24,X17,X3),c_Set_Oinsert(X24,X25,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X25,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_insert__mono_0) ).
fof(c_0_132_133,axiom,
! [X22,X12,X13,X3] :
( ~ c_in(X22,X12,X3)
| ~ c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_DiffE_1) ).
fof(c_0_133_134,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__insert__iff_6) ).
fof(c_0_134_135,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3) ),
file('<stdin>',cls_insert__subset_2) ).
fof(c_0_135_136,axiom,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X6))
| ~ hBOOL(hAPP(X12,X6)) ),
file('<stdin>',cls_sup1CI_0) ).
fof(c_0_136_137,axiom,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X6))
| ~ hBOOL(hAPP(X13,X6)) ),
file('<stdin>',cls_sup1CI_1) ).
fof(c_0_137_138,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| ~ c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_IntE_1) ).
fof(c_0_138_139,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,X13,X3)
| ~ c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_IntE_0) ).
fof(c_0_139_140,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,X13,X3)
| ~ c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_DiffE_0) ).
fof(c_0_140_141,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
file('<stdin>',cls_IntI_0) ).
fof(c_0_141_142,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
file('<stdin>',cls_Int__iff_2) ).
fof(c_0_142_143,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_insert__subset_1) ).
fof(c_0_143_144,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3) ),
file('<stdin>',cls_subset__insert__iff_2) ).
fof(c_0_144_145,axiom,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3) ),
file('<stdin>',cls_subset__insert_1) ).
fof(c_0_145_146,axiom,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_atLeastatMost__subset__iff_2) ).
fof(c_0_146_147,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X12
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Diff__partition_0) ).
fof(c_0_147_148,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
file('<stdin>',cls_Diff__iff_2) ).
fof(c_0_148_149,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
file('<stdin>',cls_DiffI_0) ).
fof(c_0_149_150,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3) ),
file('<stdin>',cls_insert__Diff1_0) ).
fof(c_0_150_151,axiom,
! [X6,X12,X13,X3] :
( c_in(X6,X12,X3)
| ~ c_lessequals(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_insert__subset_0) ).
fof(c_0_151_152,axiom,
! [X12,X13,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Compl__subset__Compl__iff_1) ).
fof(c_0_152_153,axiom,
! [X12,X13,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Compl__anti__mono_0) ).
fof(c_0_153_154,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3)
| ~ c_lessequals(X6,X23,X3)
| ~ c_lessequals(X6,X24,X3) ),
file('<stdin>',cls_le__infI_0) ).
fof(c_0_154_155,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3)
| ~ c_lessequals(X6,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_le__inf__iff_2) ).
fof(c_0_155_156,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3)
| ~ c_lessequals(X6,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_inf__greatest_0) ).
fof(c_0_156_157,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X6,X3)
| ~ c_lessequals(X23,X6,X3)
| ~ c_lessequals(X24,X6,X3) ),
file('<stdin>',cls_le__supI_0) ).
fof(c_0_157_158,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X6,X3)
| ~ c_lessequals(X16,X6,X3)
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_sup__least_0) ).
fof(c_0_158_159,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3)
| ~ c_lessequals(X14,X16,X3)
| ~ c_lessequals(X6,X16,X3) ),
file('<stdin>',cls_le__sup__iff_2) ).
fof(c_0_159_160,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_disjoint__eq__subset__Compl_1) ).
fof(c_0_160_161,axiom,
! [X6,X12,X13,X3] :
( ~ c_in(X6,X12,X3)
| ~ c_in(X6,X13,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_disjoint__iff__not__equal_0) ).
fof(c_0_161_162,axiom,
! [X23,X24,X3] :
( c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X24 = X23 ),
file('<stdin>',cls_singleton__inject_0) ).
fof(c_0_162_163,axiom,
! [X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X28,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OgreaterThan(X28,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X28,X3) ),
file('<stdin>',cls_ivl__disj__un_I1_J_0) ).
fof(c_0_163_164,axiom,
! [X27,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X27,X3),c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X27,X3) ),
file('<stdin>',cls_ivl__disj__un_I2_J_0) ).
fof(c_0_164_165,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) ),
file('<stdin>',cls_sup__assoc_0) ).
fof(c_0_165_166,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3) ),
file('<stdin>',cls_sup__left__commute_0) ).
fof(c_0_166_167,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I7_J_0) ).
fof(c_0_167_168,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I6_J_0) ).
fof(c_0_168_169,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X16,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I2_J_0) ).
fof(c_0_169_170,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I3_J_0) ).
fof(c_0_170_171,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3) ),
file('<stdin>',cls_inf__left__commute_0) ).
fof(c_0_171_172,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X16,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
file('<stdin>',cls_inf__assoc_0) ).
fof(c_0_172_173,axiom,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastLessThan(X33,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_ivl__disj__int_I11_J_0) ).
fof(c_0_173_174,axiom,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastAtMost(X33,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_ivl__disj__int_I15_J_0) ).
fof(c_0_174_175,axiom,
! [X17,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X12,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__trans_0) ).
fof(c_0_175_176,axiom,
! [X17,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__psubset__trans_0) ).
fof(c_0_176_177,axiom,
! [X17,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__subset__trans_0) ).
fof(c_0_177_178,axiom,
! [X17,X12,X13,X3] :
( c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__trans_0) ).
fof(c_0_178_179,axiom,
! [X18,X19,X3] :
( c_lessequals(X19,X18,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X19,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X19,X18,X3))) ),
file('<stdin>',cls_predicate1I_0) ).
fof(c_0_179_180,axiom,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(X29,X30,X3) ),
file('<stdin>',cls_le__eqI_1) ).
fof(c_0_180_181,axiom,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_lessequals(X29,X30,X3)
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_le__eqI_0) ).
fof(c_0_181_182,axiom,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_HOL_Oord__class_Oless(X30,X29,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_less__eqI_0) ).
fof(c_0_182_183,axiom,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X30,X29,X3) ),
file('<stdin>',cls_less__eqI_1) ).
fof(c_0_183_184,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),c_SetInterval_Oord__class_OgreaterThan(X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X28,X3)
| ~ c_lessequals(X28,X27,X3) ),
file('<stdin>',cls_ivl__disj__un_I13_J_0) ).
fof(c_0_184_185,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X27,X3)
| ~ c_lessequals(X28,X27,X3) ),
file('<stdin>',cls_ivl__disj__un_I8_J_0) ).
fof(c_0_185_186,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X27,X3)
| ~ c_lessequals(X28,X27,X3) ),
file('<stdin>',cls_ivl__disj__un_I10_J_0) ).
fof(c_0_186_187,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),c_SetInterval_Oord__class_OatLeast(X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X28,X3)
| ~ c_lessequals(X28,X27,X3) ),
file('<stdin>',cls_ivl__disj__un_I14_J_0) ).
fof(c_0_187_188,axiom,
! [X24,X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool))
| c_in(X24,X13,X3) ),
file('<stdin>',cls_Int__insert__right_1) ).
fof(c_0_188_189,axiom,
! [X24,X17,X12,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X24,X12,X3),X17,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X12,X17,tc_fun(X3,tc_bool))
| c_in(X24,X17,X3) ),
file('<stdin>',cls_Int__insert__left_1) ).
fof(c_0_189_190,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X24,X6,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X6,X3) ),
file('<stdin>',cls_le__supE_0) ).
fof(c_0_190_191,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X23,X6,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X6,X3) ),
file('<stdin>',cls_le__supE_1) ).
fof(c_0_191_192,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,X16,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) ),
file('<stdin>',cls_le__sup__iff_0) ).
fof(c_0_192_193,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X14,X16,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) ),
file('<stdin>',cls_le__sup__iff_1) ).
fof(c_0_193_194,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X24,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3) ),
file('<stdin>',cls_le__infE_0) ).
fof(c_0_194_195,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X23,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3) ),
file('<stdin>',cls_le__infE_1) ).
fof(c_0_195_196,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X14,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
file('<stdin>',cls_le__inf__iff_0) ).
fof(c_0_196_197,axiom,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X16,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
file('<stdin>',cls_le__inf__iff_1) ).
fof(c_0_197_198,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_disjoint__eq__subset__Compl_0) ).
fof(c_0_198_199,axiom,
! [X23,X24,X13,X3] :
( c_in(X24,X13,X3)
| X24 = X23
| ~ c_in(X24,c_Set_Oinsert(X23,X13,X3),X3) ),
file('<stdin>',cls_insertE_0) ).
fof(c_0_199_200,axiom,
! [X23,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X23,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insertI2_0) ).
fof(c_0_200_201,axiom,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X12,X3) ),
file('<stdin>',cls_finite__Diff2_0) ).
fof(c_0_201_202,axiom,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_HOL_Oord__class_Oless(X8,X7,tc_fun(X3,X9))
| c_lessequals(X7,X8,tc_fun(X3,X9))
| ~ c_lessequals(X8,X7,tc_fun(X3,X9)) ),
file('<stdin>',cls_less__fun__def_2) ).
fof(c_0_202_203,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X12,X3) ),
file('<stdin>',cls_UnCI_0) ).
fof(c_0_203_204,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X13,X3) ),
file('<stdin>',cls_UnCI_1) ).
fof(c_0_204_205,axiom,
! [X14,X6,X8,X9,X3] :
( ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X9)
| c_lessequals(hAPP(X8,X6),hAPP(X8,X14),X9)
| ~ c_lessequals(X6,X14,X3)
| ~ c_Orderings_Oorder__class_Omono(X8,X3,X9) ),
file('<stdin>',cls_monoD_0) ).
fof(c_0_205_206,axiom,
! [X14,X6,X13,X3] :
( hBOOL(hAPP(c_Set_Oinsert(X14,X13,X3),X6))
| ~ hBOOL(hAPP(X13,X6)) ),
file('<stdin>',cls_insert__code_2) ).
fof(c_0_206_207,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3),X3) ),
file('<stdin>',cls_inf__eq__neg__sup_0) ).
fof(c_0_207_208,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3),X3) ),
file('<stdin>',cls_sup__eq__neg__inf_0) ).
fof(c_0_208_209,axiom,
! [X22,X13,X3] :
( ~ c_in(X22,X13,X3)
| ~ c_in(X22,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_ComplD_0) ).
fof(c_0_209_210,axiom,
! [X6,X12,X13,X3] :
( c_Set_Oinsert(X6,X13,X3) != c_Set_Oinsert(X6,X12,X3)
| c_in(X6,X12,X3)
| c_in(X6,X13,X3)
| X13 = X12 ),
file('<stdin>',cls_insert__ident_0) ).
fof(c_0_210_211,axiom,
! [X20,X10,X11,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X3)
| ~ c_lessequals(X10,X20,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X11,X20,X3) ),
file('<stdin>',cls_weaken_0) ).
fof(c_0_211_212,axiom,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(X36,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_finite__Un_0) ).
fof(c_0_212_213,axiom,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(X11,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_finite__Un_1) ).
fof(c_0_213_214,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X6,X3),c_SetInterval_Oord__class_OatLeast(X14,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atLeast__subset__iff_0) ).
fof(c_0_214_215,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X6,X3),c_SetInterval_Oord__class_OatMost(X14,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_atMost__subset__iff_0) ).
fof(c_0_215_216,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X6,X3),c_SetInterval_Oord__class_OgreaterThan(X14,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_greaterThan__subset__iff_0) ).
fof(c_0_216_217,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X6,X3),c_SetInterval_Oord__class_OlessThan(X14,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_lessThan__subset__iff_0) ).
fof(c_0_217_218,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3)
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubsetD_0) ).
fof(c_0_218_219,axiom,
! [X26,X12,X13,X3] :
( c_in(X26,X12,X3)
| ~ c_in(X26,X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__iff_0) ).
fof(c_0_219_220,axiom,
! [X6,X12,X13,X3] :
( c_in(X6,X12,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3) ),
file('<stdin>',cls_set__rev__mp_0) ).
fof(c_0_220_221,axiom,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subsetD_0) ).
fof(c_0_221_222,axiom,
! [X6,X12,X13,X3] :
( c_in(X6,X12,X3)
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_set__mp_0) ).
fof(c_0_222_223,axiom,
! [X13,X3] :
( X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__Compl__self__eq_0) ).
fof(c_0_223_224,axiom,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| ~ c_lessequals(X7,X8,tc_fun(X3,X9))
| ~ c_HOL_Oord__class_Oless(X8,X7,tc_fun(X3,X9)) ),
file('<stdin>',cls_less__fun__def_1) ).
fof(c_0_224_225,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_HOL_Oord__class_Oless(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_HOL_Oord__class_Oless(X6,X24,X3) ),
file('<stdin>',cls_less__supI1_0) ).
fof(c_0_225_226,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_HOL_Oord__class_Oless(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_HOL_Oord__class_Oless(X6,X23,X3) ),
file('<stdin>',cls_less__supI2_0) ).
fof(c_0_226_227,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_lessequals(X6,X24,X3) ),
file('<stdin>',cls_le__supI1_0) ).
fof(c_0_227_228,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_lessequals(X6,X23,X3) ),
file('<stdin>',cls_le__supI2_0) ).
fof(c_0_228_229,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(X23,X6,X3) ),
file('<stdin>',cls_less__infI2_0) ).
fof(c_0_229_230,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(X24,X6,X3) ),
file('<stdin>',cls_less__infI1_0) ).
fof(c_0_230_231,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_lessequals(X24,X6,X3) ),
file('<stdin>',cls_le__infI1_0) ).
fof(c_0_231_232,axiom,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_lessequals(X23,X6,X3) ),
file('<stdin>',cls_le__infI2_0) ).
fof(c_0_232_233,axiom,
! [X23,X24,X12,X3] :
( c_in(X24,c_Set_Oinsert(X23,X12,X3),X3)
| ~ c_in(X24,X12,X3) ),
file('<stdin>',cls_insertCI_0) ).
fof(c_0_233_234,axiom,
! [X23,X24,X13,X3] :
( c_in(X24,c_Set_Oinsert(X23,X13,X3),X3)
| ~ c_in(X24,X13,X3) ),
file('<stdin>',cls_insert__iff_2) ).
fof(c_0_234_235,axiom,
! [X12,X13,X3] :
( X13 = X12
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_set__eq__subset_2) ).
fof(c_0_235_236,axiom,
! [X12,X13,X3] :
( X13 = X12
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_equalityI_0) ).
fof(c_0_236_237,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),c_SetInterval_Oord__class_OatLeast(X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_ivl__disj__int_I8_J_0) ).
fof(c_0_237_238,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),c_SetInterval_Oord__class_OgreaterThan(X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_ivl__disj__int_I7_J_0) ).
fof(c_0_238_239,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_ivl__disj__int_I4_J_0) ).
fof(c_0_239_240,axiom,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_ivl__disj__int_I2_J_0) ).
fof(c_0_240_241,axiom,
! [X32,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X32,X3),c_SetInterval_Oord__class_OatLeast(X32,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X32,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_atMost__Int__atLeast_0) ).
fof(c_0_241_242,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)) = X13 ),
file('<stdin>',cls_Diff__triv_0) ).
fof(c_0_242_243,axiom,
! [X6,X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(hAPP(X8,X6),hAPP(X7,X6),X9)
| ~ c_lessequals(X8,X7,tc_fun(X3,X9)) ),
file('<stdin>',cls_le__funD_0) ).
fof(c_0_243_244,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X16,X3)
| ~ c_HOL_Oord__class_Oless(X14,X16,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_order__less__trans_0) ).
fof(c_0_244_245,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X16,X6,X3)
| ~ c_HOL_Oord__class_Oless(X16,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
file('<stdin>',cls_xt1_I10_J_0) ).
fof(c_0_245_246,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X16,X3)
| ~ c_lessequals(X14,X16,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_order__less__le__trans_0) ).
fof(c_0_246_247,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X16,X3)
| ~ c_HOL_Oord__class_Oless(X14,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_order__le__less__trans_0) ).
fof(c_0_247_248,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X16,X6,X3)
| ~ c_HOL_Oord__class_Oless(X16,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_xt1_I8_J_0) ).
fof(c_0_248_249,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X16,X6,X3)
| ~ c_lessequals(X16,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
file('<stdin>',cls_xt1_I7_J_0) ).
fof(c_0_249_250,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X6,X16,X3)
| ~ c_lessequals(X14,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_250_251,axiom,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X16,X6,X3)
| ~ c_lessequals(X16,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_251_252,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X6,X3),c_HOL_Ouminus__class_Ouminus(X14,X3),X3) ),
file('<stdin>',cls_compl__inf_0) ).
fof(c_0_252_253,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
file('<stdin>',cls_neg__inf__eq__sup_0) ).
fof(c_0_253_254,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X6,X3),c_HOL_Ouminus__class_Ouminus(X14,X3),X3) ),
file('<stdin>',cls_compl__sup_0) ).
fof(c_0_254_255,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
file('<stdin>',cls_neg__sup__eq__inf_0) ).
fof(c_0_255_256,axiom,
! [X13,X3] :
( X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__empty_0) ).
fof(c_0_256_257,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_neg__less__iff__less_0) ).
fof(c_0_257_258,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_neg__le__iff__le_0) ).
fof(c_0_258_259,axiom,
! [X10,X15,X11,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X11,X15,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X15,X10,X3) ),
file('<stdin>',cls_cut_0) ).
fof(c_0_259_260,axiom,
! [X13,X3] :
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite__compl_0) ).
fof(c_0_260_261,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeast(X6,X3),c_SetInterval_Oord__class_OatLeast(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_atLeast__subset__iff_1) ).
fof(c_0_261_262,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatMost(X6,X3),c_SetInterval_Oord__class_OatMost(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_atMost__subset__iff_1) ).
fof(c_0_262_263,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X6,X3),c_SetInterval_Oord__class_OgreaterThan(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_greaterThan__subset__iff_1) ).
fof(c_0_263_264,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OlessThan(X6,X3),c_SetInterval_Oord__class_OlessThan(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_lessThan__subset__iff_1) ).
fof(c_0_264_265,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) ),
file('<stdin>',cls_sup__left__idem_0) ).
fof(c_0_265_266,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) ),
file('<stdin>',cls_inf__sup__aci_I8_J_0) ).
fof(c_0_266_267,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) ),
file('<stdin>',cls_inf__sup__aci_I4_J_0) ).
fof(c_0_267_268,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) ),
file('<stdin>',cls_inf__left__idem_0) ).
fof(c_0_268_269,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
file('<stdin>',cls_atLeastLessThan__empty__iff2_0) ).
fof(c_0_269_270,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_atLeastatMost__empty__iff2_0) ).
fof(c_0_270_271,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
file('<stdin>',cls_atLeastLessThan__empty__iff_0) ).
fof(c_0_271_272,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_atLeastatMost__empty__iff_0) ).
fof(c_0_272_273,axiom,
! [X6,X19,X3] :
( ~ hBOOL(hAPP(X19,X6))
| ~ c_in(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_bex__empty_0) ).
fof(c_0_273_274,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_HOL_Oord__class_Oless(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
file('<stdin>',cls_less__minus__iff_0) ).
fof(c_0_274_275,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3)
| ~ c_HOL_Oord__class_Oless(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_less__minus__iff_1) ).
fof(c_0_275_276,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3) ),
file('<stdin>',cls_minus__less__iff_0) ).
fof(c_0_276_277,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3) ),
file('<stdin>',cls_minus__less__iff_1) ).
fof(c_0_277_278,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
file('<stdin>',cls_le__minus__iff_0) ).
fof(c_0_278_279,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3)
| ~ c_lessequals(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_le__minus__iff_1) ).
fof(c_0_279_280,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3) ),
file('<stdin>',cls_minus__le__iff_0) ).
fof(c_0_280_281,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3) ),
file('<stdin>',cls_minus__le__iff_1) ).
fof(c_0_281_282,axiom,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(X8,X7,tc_fun(X3,X9))
| ~ c_HOL_Oord__class_Oless(X8,X7,tc_fun(X3,X9)) ),
file('<stdin>',cls_less__fun__def_0) ).
fof(c_0_282_283,axiom,
! [X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite__compl_1) ).
fof(c_0_283_284,axiom,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(X12,X3) ),
file('<stdin>',cls_finite__Diff2_1) ).
fof(c_0_284_285,axiom,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X11,X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
file('<stdin>',cls_finite__Un_2) ).
fof(c_0_285_286,axiom,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X11,X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
file('<stdin>',cls_finite__UnI_0) ).
fof(c_0_286_287,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) != c_Orderings_Otop__class_Otop(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) != c_Orderings_Obot__class_Obot(X3)
| c_HOL_Ouminus__class_Ouminus(X6,X3) = X14 ),
file('<stdin>',cls_compl__unique_0) ).
fof(c_0_287_288,axiom,
! [X24,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X24,X13,X3),X3) ),
file('<stdin>',cls_finite__insert_0) ).
fof(c_0_288_289,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_less__le__not__le_2) ).
fof(c_0_289_290,axiom,
! [X12,X13,X3] :
( X13 = X12
| c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__iff__psubset__eq_0) ).
fof(c_0_290_291,axiom,
! [X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool))
| X13 = X12
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__eq_2) ).
fof(c_0_291_292,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) != X12
| c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__Un__eq_1) ).
fof(c_0_292_293,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) = X13
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__absorb2_0) ).
fof(c_0_293_294,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) = X12
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__absorb1_0) ).
fof(c_0_294_295,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) = X13
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__absorb2_0) ).
fof(c_0_295_296,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) = X12
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Int__absorb1_0) ).
fof(c_0_296_297,axiom,
! [X6,X18,X19,X3] :
( hBOOL(hAPP(X18,X6))
| ~ c_lessequals(X19,X18,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X19,X6)) ),
file('<stdin>',cls_rev__predicate1D_0) ).
fof(c_0_297_298,axiom,
! [X6,X18,X19,X3] :
( hBOOL(hAPP(X18,X6))
| ~ hBOOL(hAPP(X19,X6))
| ~ c_lessequals(X19,X18,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_predicate1D_0) ).
fof(c_0_298_299,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
file('<stdin>',cls_neg__less__iff__less_1) ).
fof(c_0_299_300,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_le__imp__neg__le_0) ).
fof(c_0_300_301,axiom,
! [X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_psubset__eq_0) ).
fof(c_0_301_302,axiom,
! [X6,X19,X3] :
( hBOOL(hAPP(X19,X6))
| ~ c_in(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_ball__empty_0) ).
fof(c_0_302_303,axiom,
! [X10,X11,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X3)
| ~ c_lessequals(X10,X11,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
file('<stdin>',cls_asm_0) ).
fof(c_0_303_304,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X12 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__empty_1) ).
fof(c_0_304_305,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__empty_0) ).
fof(c_0_305_306,axiom,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite__Diff_0) ).
fof(c_0_306_307,axiom,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X11,X3) ),
file('<stdin>',cls_finite__Int_1) ).
fof(c_0_307_308,axiom,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
file('<stdin>',cls_finite__Int_0) ).
fof(c_0_308_309,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_HOL_Oord__class_Oless(X31,X34,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OgreaterThan(X31,X3),X3) ),
file('<stdin>',cls_greaterThan__iff_0) ).
fof(c_0_309_310,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_HOL_Oord__class_Oless(X34,X31,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OlessThan(X31,X3),X3) ),
file('<stdin>',cls_lessThan__iff_0) ).
fof(c_0_310_311,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_lessequals(X31,X34,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OatLeast(X31,X3),X3) ),
file('<stdin>',cls_atLeast__iff_0) ).
fof(c_0_311_312,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_lessequals(X34,X31,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OatMost(X31,X3),X3) ),
file('<stdin>',cls_atMost__iff_0) ).
fof(c_0_312_313,axiom,
! [X38,X6,X3] :
( c_Set_Oinsert(X6,X38,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X6,X38,X3) ),
file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).
fof(c_0_313_314,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X24,X23,X3),X3) = c_HOL_Ominus__class_Ominus(X23,X24,X3) ),
file('<stdin>',cls_minus__diff__eq_0) ).
fof(c_0_314_315,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| ~ c_lessequals(X6,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_315_316,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| ~ c_lessequals(X14,X6,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_316_317,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| ~ c_lessequals(X14,X6,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_317_318,axiom,
! [X22,X13,X3] :
( c_in(X22,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3)
| c_in(X22,X13,X3) ),
file('<stdin>',cls_ComplI_0) ).
fof(c_0_318_319,axiom,
! [X14,X38,X6,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X38,X14,X3) != c_HOL_Ominus__class_Ominus(X6,X6,X3)
| X38 = X14 ),
file('<stdin>',cls_eq__eqI_1) ).
fof(c_0_319_320,axiom,
! [X29,X30,X6,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X6,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| X30 = X29 ),
file('<stdin>',cls_eq__eqI_0) ).
fof(c_0_320_321,axiom,
! [X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X6,X6,X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
file('<stdin>',cls_linorder__antisym__conv2_1) ).
fof(c_0_321_322,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_linorder__not__less_1) ).
fof(c_0_322_323,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
file('<stdin>',cls_linorder__not__le_1) ).
fof(c_0_323_324,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X14,X6,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_less__le__not__le_1) ).
fof(c_0_324_325,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(X23,X24,X3) ),
file('<stdin>',cls_xt1_I9_J_0) ).
fof(c_0_325_326,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).
fof(c_0_326_327,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_order__less__asym_0) ).
fof(c_0_327_328,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X23,X24,X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
file('<stdin>',cls_order__less__asym_H_0) ).
fof(c_0_328_329,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X23,X24,X3) ),
file('<stdin>',cls_atLeastLessThan__empty_0) ).
fof(c_0_329_330,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X23,X24,X3) ),
file('<stdin>',cls_atLeastatMost__empty_0) ).
fof(c_0_330_331,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OgreaterThan(X31,X3),X3)
| ~ c_HOL_Oord__class_Oless(X31,X34,X3) ),
file('<stdin>',cls_greaterThan__iff_1) ).
fof(c_0_331_332,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OlessThan(X31,X3),X3)
| ~ c_HOL_Oord__class_Oless(X34,X31,X3) ),
file('<stdin>',cls_lessThan__iff_1) ).
fof(c_0_332_333,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OatLeast(X31,X3),X3)
| ~ c_lessequals(X31,X34,X3) ),
file('<stdin>',cls_atLeast__iff_1) ).
fof(c_0_333_334,axiom,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OatMost(X31,X3),X3)
| ~ c_lessequals(X34,X31,X3) ),
file('<stdin>',cls_atMost__iff_1) ).
fof(c_0_334_335,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = X6 ),
file('<stdin>',cls_sup__inf__absorb_0) ).
fof(c_0_335_336,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = X6 ),
file('<stdin>',cls_inf__sup__absorb_0) ).
fof(c_0_336_337,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X6,X3) ),
file('<stdin>',cls_inf__le1_0) ).
fof(c_0_337_338,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X14,X3) ),
file('<stdin>',cls_inf__le2_0) ).
fof(c_0_338_339,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X14,X3) ),
file('<stdin>',cls_inf__sup__ord_I2_J_0) ).
fof(c_0_339_340,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X6,X3) ),
file('<stdin>',cls_inf__sup__ord_I1_J_0) ).
fof(c_0_340_341,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
file('<stdin>',cls_sup__ge1_0) ).
fof(c_0_341_342,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
file('<stdin>',cls_sup__ge2_0) ).
fof(c_0_342_343,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
file('<stdin>',cls_inf__sup__ord_I4_J_0) ).
fof(c_0_343_344,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
file('<stdin>',cls_inf__sup__ord_I3_J_0) ).
fof(c_0_344_345,axiom,
! [X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X24,X3) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_atLeastAtMost__singleton_0) ).
fof(c_0_345_346,axiom,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X12,X3) ),
file('<stdin>',cls_rev__finite__subset_0) ).
fof(c_0_346_347,axiom,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(X12,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_finite__subset_0) ).
fof(c_0_347_348,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_linorder__antisym__conv2_0) ).
fof(c_0_348_349,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| ~ c_lessequals(X6,X14,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_linorder__antisym__conv1_0) ).
fof(c_0_349_350,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X24,X23,X3)
| ~ c_lessequals(X24,X23,X3)
| X24 = X23 ),
file('<stdin>',cls_order__neq__le__trans_0) ).
fof(c_0_350_351,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X24,X23,X3)
| X24 = X23
| ~ c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_order__le__neq__trans_0) ).
fof(c_0_351_352,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| X6 = X14
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_order__less__le_2) ).
fof(c_0_352_353,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_order__le__less_0) ).
fof(c_0_353_354,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X23,X24,X3)
| ~ c_lessequals(X23,X24,X3)
| X24 = X23 ),
file('<stdin>',cls_xt1_I12_J_0) ).
fof(c_0_354_355,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X23,X24,X3)
| X24 = X23
| ~ c_lessequals(X23,X24,X3) ),
file('<stdin>',cls_xt1_I11_J_0) ).
fof(c_0_355_356,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) != X14
| c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_le__iff__sup_1) ).
fof(c_0_356_357,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) != X6
| c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_le__iff__inf_1) ).
fof(c_0_357_358,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = X14
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_le__iff__sup_0) ).
fof(c_0_358_359,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = X6
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_sup__absorb1_0) ).
fof(c_0_359_360,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = X6
| ~ c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_le__iff__inf_0) ).
fof(c_0_360_361,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = X14
| ~ c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_inf__absorb2_0) ).
fof(c_0_361_362,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_order__less__imp__le_0) ).
fof(c_0_362_363,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_order__le__less_1) ).
fof(c_0_363_364,axiom,
! [X24,X13,X3] :
( c_Finite__Set_Ofinite(c_Set_Oinsert(X24,X13,X3),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite__insert_1) ).
fof(c_0_364_365,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3)
| c_HOL_Oord__class_Oless(X24,X23,X3) ),
file('<stdin>',cls_atLeastLessThan__empty__iff2_1) ).
fof(c_0_365_366,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3)
| c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_atLeastatMost__empty__iff2_1) ).
fof(c_0_366_367,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X24,X23,X3) ),
file('<stdin>',cls_atLeastLessThan__empty__iff_1) ).
fof(c_0_367_368,axiom,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X24,X23,X3) ),
file('<stdin>',cls_atLeastatMost__empty__iff_1) ).
fof(c_0_368_369,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_HOL_Ouminus__class_Ouminus(X14,X3),X3) ),
file('<stdin>',cls_diff__eq_0) ).
fof(c_0_369_370,axiom,
! [X24,X13,X3] :
( c_Set_Oinsert(X24,X13,X3) = X13
| ~ c_in(X24,X13,X3) ),
file('<stdin>',cls_insert__absorb_0) ).
fof(c_0_370_371,axiom,
! [X14,X6,X3] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| X6 = X14 ),
file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).
fof(c_0_371_372,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).
fof(c_0_372_373,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| X6 = X14 ),
file('<stdin>',cls_linorder__neqE_0) ).
fof(c_0_373_374,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_linorder__less__linear_0) ).
fof(c_0_374_375,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3)
| c_HOL_Oord__class_Oless(X14,X6,X3) ),
file('<stdin>',cls_linorder__antisym__conv3_0) ).
fof(c_0_375_376,axiom,
! [X12,X13,X3] :
( c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool))
| X13 = X12 ),
file('<stdin>',cls_Compl__eq__Compl__iff_0) ).
fof(c_0_376_377,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| c_lessequals(X14,X6,X3) ),
file('<stdin>',cls_not__leE_0) ).
fof(c_0_377_378,axiom,
! [X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X6,X6,X3)
| c_lessequals(X6,X6,X3) ),
file('<stdin>',cls_linorder__antisym__conv1_1) ).
fof(c_0_378_379,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
file('<stdin>',cls_linorder__not__less_0) ).
fof(c_0_379_380,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_linorder__not__le_0) ).
fof(c_0_380_381,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X14,X6,X3)
| c_lessequals(X6,X14,X3) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_381_382,axiom,
! [X6,X39,X3] :
( hBOOL(hAPP(X39,X6))
| ~ c_in(X6,X39,X3) ),
file('<stdin>',cls_mem__def_0) ).
fof(c_0_382_383,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,X6,X3) ),
file('<stdin>',cls_inf__commute_0) ).
fof(c_0_383_384,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,X6,X3) ),
file('<stdin>',cls_inf__sup__aci_I1_J_0) ).
fof(c_0_384_385,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X6,X3) ),
file('<stdin>',cls_sup__commute_0) ).
fof(c_0_385_386,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X6,X3) ),
file('<stdin>',cls_inf__sup__aci_I5_J_0) ).
fof(c_0_386_387,axiom,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X3) != c_Orderings_Obot__class_Obot(X3)
| X13 = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_sup__eq__bot__eq1_0) ).
fof(c_0_387_388,axiom,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X3) != c_Orderings_Obot__class_Obot(X3)
| X12 = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_sup__eq__bot__eq2_0) ).
fof(c_0_388_389,axiom,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X3) != c_Orderings_Otop__class_Otop(X3)
| X12 = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_inf__eq__top__eq2_0) ).
fof(c_0_389_390,axiom,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X3) != c_Orderings_Otop__class_Otop(X3)
| X13 = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_inf__eq__top__eq1_0) ).
fof(c_0_390_391,axiom,
! [X6,X39,X3] :
( c_in(X6,X39,X3)
| ~ hBOOL(hAPP(X39,X6)) ),
file('<stdin>',cls_mem__def_1) ).
fof(c_0_391_392,axiom,
! [X6,X3] :
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
file('<stdin>',cls_order__less__le_1) ).
fof(c_0_392_393,axiom,
! [X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
file('<stdin>',cls_linorder__neq__iff_1) ).
fof(c_0_393_394,axiom,
! [X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
file('<stdin>',cls_order__less__irrefl_0) ).
fof(c_0_394_395,axiom,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_HOL_Ouminus__class_Ouminus(X6,X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_inf__compl__bot_0) ).
fof(c_0_395_396,axiom,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X6,X3),X6,X3) = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_compl__inf__bot_0) ).
fof(c_0_396_397,axiom,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X6,X3),X6,X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_compl__sup__top_0) ).
fof(c_0_397_398,axiom,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_HOL_Ouminus__class_Ouminus(X6,X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_sup__compl__top_0) ).
fof(c_0_398_399,axiom,
! [X1,X2,X3] :
( X2 = X1
| ~ c_fequal(X2,X1,X3) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_399_400,axiom,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X31,X3) ),
file('<stdin>',cls_Compl__atLeast_0) ).
fof(c_0_400_401,axiom,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X31,X3) ),
file('<stdin>',cls_Compl__lessThan_0) ).
fof(c_0_401_402,axiom,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X31,X3) ),
file('<stdin>',cls_Compl__atMost_0) ).
fof(c_0_402_403,axiom,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X31,X3) ),
file('<stdin>',cls_Compl__greaterThan_0) ).
fof(c_0_403_404,axiom,
! [X3] :
( ~ class_Finite__Set_Ofinite_Ofinite(X3)
| c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_finite__UNIV_0) ).
fof(c_0_404_405,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_sup__top__right_0) ).
fof(c_0_405_406,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X6,X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_sup__top__left_0) ).
fof(c_0_406_407,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_inf__bot__right_0) ).
fof(c_0_407_408,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X3),X6,X3) = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_inf__bot__left_0) ).
fof(c_0_408_409,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Orderings_Obot__class_Obot(X3),X3) = X6 ),
file('<stdin>',cls_sup__bot__right_0) ).
fof(c_0_409_410,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X6,X3) = X6 ),
file('<stdin>',cls_sup__bot__left_0) ).
fof(c_0_410_411,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Orderings_Otop__class_Otop(X3),X3) = X6 ),
file('<stdin>',cls_inf__top__right_0) ).
fof(c_0_411_412,axiom,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X3),X6,X3) = X6 ),
file('<stdin>',cls_inf__top__left_0) ).
fof(c_0_412_413,axiom,
! [X6,X3] :
( ~ class_Orderings_Otop(X3)
| c_lessequals(X6,c_Orderings_Otop__class_Otop(X3),X3) ),
file('<stdin>',cls_top__greatest_0) ).
fof(c_0_413_414,axiom,
! [X6,X3] :
( ~ class_Orderings_Obot(X3)
| c_lessequals(c_Orderings_Obot__class_Obot(X3),X6,X3) ),
file('<stdin>',cls_bot__least_0) ).
fof(c_0_414_415,axiom,
! [X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X6,X3) = X6 ),
file('<stdin>',cls_sup__idem_0) ).
fof(c_0_415_416,axiom,
! [X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X6,X3) = X6 ),
file('<stdin>',cls_inf__idem_0) ).
fof(c_0_416_417,axiom,
! [X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X6,X6,X3) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_417_418,axiom,
! [X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X6,X6,X3) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_418_419,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OlessThan(X6,X3) != c_SetInterval_Oord__class_OlessThan(X14,X3)
| X6 = X14 ),
file('<stdin>',cls_lessThan__eq__iff_0) ).
fof(c_0_419_420,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OgreaterThan(X6,X3) != c_SetInterval_Oord__class_OgreaterThan(X14,X3)
| X6 = X14 ),
file('<stdin>',cls_greaterThan__eq__iff_0) ).
fof(c_0_420_421,axiom,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(X6,X3) != c_HOL_Ouminus__class_Ouminus(X14,X3)
| X6 = X14 ),
file('<stdin>',cls_compl__eq__compl__iff_0) ).
fof(c_0_421_422,axiom,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(X24,X3) != c_HOL_Ouminus__class_Ouminus(X23,X3)
| X24 = X23 ),
file('<stdin>',cls_neg__equal__iff__equal_0) ).
fof(c_0_422_423,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OatLeast(X6,X3) != c_SetInterval_Oord__class_OatLeast(X14,X3)
| X6 = X14 ),
file('<stdin>',cls_atLeast__eq__iff_0) ).
fof(c_0_423_424,axiom,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OatMost(X6,X3) != c_SetInterval_Oord__class_OatMost(X14,X3)
| X6 = X14 ),
file('<stdin>',cls_atMost__eq__iff_0) ).
fof(c_0_424_425,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) = X24 ),
file('<stdin>',cls_minus__minus_0) ).
fof(c_0_425_426,axiom,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X6,X3),X3) = X6 ),
file('<stdin>',cls_double__compl_0) ).
fof(c_0_426_427,axiom,
! [X23,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X23 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
file('<stdin>',cls_equation__minus__iff_0) ).
fof(c_0_427_428,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X24 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_equation__minus__iff_1) ).
fof(c_0_428_429,axiom,
! [X23,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X23,X3),X3) = X23 ),
file('<stdin>',cls_minus__equation__iff_1) ).
fof(c_0_429_430,axiom,
! [X4,X5] :
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X4,X5))
| ~ class_Finite__Set_Ofinite_Ofinite(X5)
| ~ class_Finite__Set_Ofinite_Ofinite(X4) ),
file('<stdin>',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
fof(c_0_430_431,axiom,
! [X4,X5] :
( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
| ~ class_Lattices_Olattice(X5) ),
file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(c_0_431_432,axiom,
! [X4,X5] :
( class_Lattices_Olower__semilattice(tc_fun(X4,X5))
| ~ class_Lattices_Olattice(X5) ),
file('<stdin>',clsarity_fun__Lattices_Olower__semilattice) ).
fof(c_0_432_433,axiom,
! [X4,X5] :
( class_Lattices_Odistrib__lattice(tc_fun(X4,X5))
| ~ class_Lattices_Odistrib__lattice(X5) ),
file('<stdin>',clsarity_fun__Lattices_Odistrib__lattice) ).
fof(c_0_433_434,axiom,
! [X4,X5] :
( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
| ~ class_Lattices_Obounded__lattice(X5) ),
file('<stdin>',clsarity_fun__Lattices_Obounded__lattice) ).
fof(c_0_434_435,axiom,
! [X4,X5] :
( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
| ~ class_Lattices_Oboolean__algebra(X5) ),
file('<stdin>',clsarity_fun__Lattices_Oboolean__algebra) ).
fof(c_0_435_436,axiom,
! [X4,X5] :
( class_Orderings_Opreorder(tc_fun(X4,X5))
| ~ class_Orderings_Opreorder(X5) ),
file('<stdin>',clsarity_fun__Orderings_Opreorder) ).
fof(c_0_436_437,axiom,
! [X4,X5] :
( class_Lattices_Olattice(tc_fun(X4,X5))
| ~ class_Lattices_Olattice(X5) ),
file('<stdin>',clsarity_fun__Lattices_Olattice) ).
fof(c_0_437_438,axiom,
! [X4,X5] :
( class_Orderings_Oorder(tc_fun(X4,X5))
| ~ class_Orderings_Oorder(X5) ),
file('<stdin>',clsarity_fun__Orderings_Oorder) ).
fof(c_0_438_439,axiom,
! [X4,X5] :
( class_Orderings_Otop(tc_fun(X4,X5))
| ~ class_Orderings_Otop(X5) ),
file('<stdin>',clsarity_fun__Orderings_Otop) ).
fof(c_0_439_440,axiom,
! [X4,X5] :
( class_Orderings_Obot(tc_fun(X4,X5))
| ~ class_Orderings_Obot(X5) ),
file('<stdin>',clsarity_fun__Orderings_Obot) ).
fof(c_0_440_441,axiom,
! [X4,X5] :
( class_HOL_Oord(tc_fun(X4,X5))
| ~ class_HOL_Oord(X5) ),
file('<stdin>',clsarity_fun__HOL_Oord) ).
fof(c_0_441_442,axiom,
! [X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
file('<stdin>',cls_compl__top__eq_0) ).
fof(c_0_442_443,axiom,
! [X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_compl__bot__eq_0) ).
fof(c_0_443_444,axiom,
! [X13,X3] :
( ~ class_Finite__Set_Ofinite_Ofinite(X3)
| c_Finite__Set_Ofinite(X13,X3) ),
file('<stdin>',cls_finite_0) ).
fof(c_0_444_445,plain,
! [X8,X12,X13,X9,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_445_446,plain,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(X8,X7,tc_fun(X3,X9))
| ~ c_lessequals(hAPP(X8,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X8,X7,X3,X9)),hAPP(X7,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X8,X7,X3,X9)),X9) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_446_447,plain,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(X8,X7,tc_fun(X3,X9))
| ~ c_lessequals(hAPP(X8,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X8,X7,X3,X9)),hAPP(X7,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X8,X7,X3,X9)),X9) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_447_448,plain,
! [X8,X24,X13,X9,X3] :
( ~ c_in(hAPP(X8,X24),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9)
| ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X24,X13,X3),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_448_449,plain,
! [X8,X24,X13,X9,X3] :
( c_Fun_Oinj__on(X8,c_Set_Oinsert(X24,X13,X3),X3,X9)
| c_in(hAPP(X8,X24),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_449_450,plain,
! [X8,X12,X13,X9,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_450_451,plain,
! [X8,X13,X9,X3] :
( c_lessequals(c_Set_Oimage(X8,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3,X9),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X8,X13,X3,X9),tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_451_452,plain,
! [X8,X12,X13,X9,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_452_453,plain,
! [X8,X17,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,X17,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_453_454,plain,
! [X8,X17,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,X17,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_454_455,plain,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Ovimage(X8,X12,X3,X9),X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,c_Set_Oimage(X8,X13,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_455_456,plain,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_456_457,plain,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_457_458,plain,
! [X6,X8,X13,X9,X3] :
( hBOOL(hAPP(X13,hAPP(X8,X6)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X8,X13,X3,X9),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_458_459,plain,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_459_460,plain,
! [X8,X13,X3] :
( c_Set_Oimage(X8,X13,X3,X3) = X13
| ~ c_Fun_Oinj__on(X8,X13,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X8,X13,X3,X3),X13,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_460_461,plain,
! [X8,X23,X24,X9,X3] :
( hAPP(X8,X24) = X23
| ~ c_in(X24,c_Set_Ovimage(X8,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X3,X9),X3) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_461_462,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_462_463,plain,
! [X8,X24,X13,X9,X3] :
( c_in(X24,X13,X3)
| ~ c_in(hAPP(X8,X24),c_Set_Oimage(X8,X13,X3,X9),X9)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_463_464,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_464_465,plain,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,X13,X3,X9) != c_Set_Oimage(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9)
| X13 = X12 ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_465_466,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| c_in(X6,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_466_467,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| c_in(X6,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_467_468,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_468_469,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_469_470,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_470_471,plain,
! [X8,X12,X13,X9,X3] :
( c_Set_Oimage(X8,X13,X3,X9) != c_Set_Oimage(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
| X13 = X12 ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_471_472,plain,
! [X8,X13,X9,X3] :
( c_Set_Ovimage(X8,c_Set_Oimage(X8,X13,X3,X9),X3,X9) = X13
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_472_473,plain,
! [X8,X13,X9,X3] :
( c_Finite__Set_Ofinite(X13,X9)
| ~ c_Fun_Oinj__on(X8,X13,X9,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X8,X13,X9,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_473_474,plain,
! [X6,X8,X13,X9,X3] :
( ~ c_lessequals(X6,X13,tc_fun(X9,tc_bool))
| c_lessequals(c_Set_Oimage(X8,X6,X9,X3),c_Set_Oimage(X8,X13,X9,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_474_475,plain,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Oimage(X8,X13,X3,X9),c_Set_Oimage(X8,X12,X3,X9),tc_fun(X9,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_475_476,plain,
! [X8,X12,X13,X9,X3] :
( c_lessequals(c_Set_Ovimage(X8,X13,X9,X3),c_Set_Ovimage(X8,X12,X9,X3),tc_fun(X9,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_476_477,plain,
! [X8,X13,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X3)
| ~ c_lessequals(X13,c_Set_Oimage(X8,X13,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_477_478,plain,
! [X6,X8,X13,X9,X3] :
( hBOOL(hAPP(c_Set_Ovimage(X8,X13,X3,X9),X6))
| ~ hBOOL(hAPP(X13,hAPP(X8,X6))) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_478_479,plain,
! [X8,X24,X13,X9,X3] :
( c_in(hAPP(X8,X24),c_Set_Oimage(X8,X13,X3,X9),X9)
| ~ c_in(X24,X13,X3)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_479_480,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_480_481,plain,
! [X6,X8,X12,X13,X9,X3] :
( c_in(hAPP(X8,X6),X12,X3)
| ~ c_in(X6,X13,X9)
| ~ c_lessequals(c_Set_Oimage(X8,X13,X9,X3),X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_481_482,plain,
! [X6,X12,X13,X3] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_482_483,plain,
! [X35,X36,X9,X3] :
( c_Finite__Set_Ofinite(c_Set_Ovimage(X35,X36,X9,X3),X9)
| ~ c_Fun_Oinj__on(X35,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_483_484,plain,
! [X8,X24,X12,X9,X3] :
( c_in(hAPP(X8,X24),X12,X9)
| ~ c_in(X24,c_Set_Ovimage(X8,X12,X3,X9),X3) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_484_485,plain,
! [X8,X24,X13,X9,X3] :
( c_in(hAPP(X8,X24),X13,X9)
| ~ c_in(X24,c_Set_Ovimage(X8,X13,X3,X9),X3) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_485_486,plain,
! [X8,X12,X13,X9,X3] :
( c_Finite__Set_Ofinite(X12,X9)
| ~ c_lessequals(X12,c_Set_Oimage(X8,X13,X3,X9),tc_fun(X9,tc_bool))
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_486_487,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_487_488,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_488_489,plain,
! [X6,X8,X13,X9,X3] :
( c_Set_Oinsert(hAPP(X8,X6),c_Set_Oimage(X8,X13,X3,X9),X9) = c_Set_Oimage(X8,X13,X3,X9)
| ~ c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_489_490,plain,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X12,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_490_491,plain,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_491_492,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X24 = X21
| X24 = X22 ),
c_0_47 ).
fof(c_0_492_493,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X23 = X22
| X24 = X22 ),
c_0_48 ).
fof(c_0_493_494,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X24 = X21
| X23 = X21 ),
c_0_49 ).
fof(c_0_494_495,axiom,
! [X21,X22,X23,X24,X3] :
( c_Set_Oinsert(X24,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X22,c_Set_Oinsert(X21,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X23 = X22
| X23 = X21 ),
c_0_50 ).
fof(c_0_495_496,plain,
! [X8,X24,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X9)
| ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X24,X13,X3),X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_496_497,axiom,
! [X17,X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
c_0_52 ).
fof(c_0_497_498,plain,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3,X9)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_498_499,plain,
! [X24,X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_499_500,plain,
! [X8,X12,X13,X9,X3] :
( c_Fun_Oinj__on(X8,X13,X3,X9)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X8,X12,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_500_501,plain,
! [X24,X13,X3] :
( c_Set_Oinsert(X24,c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X13
| ~ c_in(X24,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_501_502,plain,
! [X8,X24,X12,X9,X3] :
( c_in(X24,c_Set_Ovimage(X8,X12,X3,X9),X3)
| ~ c_in(hAPP(X8,X24),X12,X9) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_502_503,plain,
! [X8,X24,X13,X9,X3] :
( c_in(X24,c_Set_Ovimage(X8,X13,X9,X3),X9)
| ~ c_in(hAPP(X8,X24),X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_503_504,plain,
! [X8,X24,X12,X9,X3] :
( c_in(X24,c_Set_Ovimage(X8,X12,X9,X3),X9)
| ~ c_in(hAPP(X8,X24),X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_504_505,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X23,X21,X3)
| c_HOL_Oord__class_Oless(X22,X24,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_505_506,plain,
! [X6,X8,X13,X37,X3] :
( ~ c_in(X6,X13,X37)
| c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X37,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_506_507,plain,
! [X6,X8,X13,X9,X3] :
( ~ c_in(X6,X13,X9)
| c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X9,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_507_508,plain,
! [X6,X8,X13,X9,X3] :
( c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X9,X3),X3)
| ~ c_in(X6,X13,X9) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_508_509,plain,
! [X6,X8,X13,X9,X3] :
( c_in(hAPP(X8,X6),c_Set_Oimage(X8,X13,X3,X9),X9)
| ~ c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_509_510,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X22,X21,X3)
| ~ c_HOL_Oord__class_Oless(X23,X21,X3)
| ~ c_lessequals(X23,X21,X3)
| ~ c_lessequals(X22,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_510_511,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X22,X21,X3)
| ~ c_HOL_Oord__class_Oless(X22,X24,X3)
| ~ c_lessequals(X23,X21,X3)
| ~ c_lessequals(X22,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_511_512,plain,
! [X24,X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_512_513,plain,
! [X25,X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X17,X25,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X25,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_513_514,plain,
! [X25,X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X17,X25,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X25,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_514_515,plain,
! [X25,X17,X12,X13,X3] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X17,X25,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X25,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_515_516,plain,
! [X14,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_in(X14,X13,X3)
| ~ c_in(X6,X13,X3)
| X6 = X14
| ~ c_Fun_Oinj__on(X8,X13,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_516_517,plain,
! [X14,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_in(X14,X13,X3)
| ~ c_in(X6,X13,X3)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_517_518,plain,
! [X38,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X38)
| ~ c_in(X38,X13,X3)
| ~ c_in(X6,X13,X3)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| X6 = X38 ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_518_519,plain,
! [X14,X6,X8,X13,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_Fun_Oinj__on(X8,X13,X3,X9)
| X6 = X14
| ~ c_in(X14,X13,X3)
| ~ c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_519_520,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X24,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_520_521,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X23,X21,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_521_522,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X24,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_522_523,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X23,X21,X3)
| ~ c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_523_524,plain,
! [X8,X12,X13,X9,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ class_Lattices_Oupper__semilattice(X9)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X8,X13),hAPP(X8,X12),X9),hAPP(X8,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X3)),X9)
| ~ c_Orderings_Oorder__class_Omono(X8,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_524_525,plain,
! [X8,X12,X13,X9,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| ~ class_Lattices_Olower__semilattice(X9)
| c_lessequals(hAPP(X8,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X3)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X8,X13),hAPP(X8,X12),X9),X9)
| ~ c_Orderings_Oorder__class_Omono(X8,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_525_526,plain,
! [X17,X12,X13,X3] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_526_527,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_527_528,plain,
! [X6,X13,X3] :
( X13 = c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_528_529,plain,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(X12,X6))
| hBOOL(hAPP(X13,X6))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_529_530,plain,
! [X17,X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X13,c_Lattices_Oupper__semilattice__class_Osup(X12,X17,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_530_531,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X22,X24,X3)
| c_lessequals(X23,X24,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_531_532,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X23,X21,X3)
| c_lessequals(X23,X24,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_532_533,plain,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(X12,X6))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_533_534,plain,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(X13,X6))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_534_535,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3)
| ~ c_lessequals(X28,X27,X3) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_535_536,plain,
! [X35,X36,X9,X3] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X35,X36,X3,X9),X9)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_536_537,plain,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastLessThan(X33,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3)
| ~ c_lessequals(X33,X27,X3)
| ~ c_lessequals(X28,X33,X3) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_537_538,plain,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastAtMost(X33,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3)
| ~ c_lessequals(X33,X27,X3)
| ~ c_lessequals(X28,X33,X3) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_538_539,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X21,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_539_540,plain,
! [X14,X6,X8,X9,X3] :
( hAPP(X8,X6) != hAPP(X8,X14)
| ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_540_541,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_541_542,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_542_543,plain,
! [X24,X17,X12,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X24,X12,X3),X17,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X24,c_Lattices_Olower__semilattice__class_Oinf(X12,X17,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X24,X17,X3) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_543_544,plain,
! [X24,X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X24,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X24,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_544_545,plain,
! [X17,X12,X13,X3] :
( c_HOL_Ominus__class_Ominus(X12,c_HOL_Ominus__class_Ominus(X17,X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X13
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_545_546,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_546_547,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_547_548,plain,
! [X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_548_549,plain,
! [X17,X12,X13,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_549_550,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X23,X21,X3)
| ~ c_lessequals(X22,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_550_551,plain,
! [X18,X19,X3] :
( c_lessequals(X19,X18,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X18,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X19,X18,X3))) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_551_552,axiom,
! [X8,X13,X9,X3] :
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X8,X13,X9,X3)
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
c_0_107 ).
fof(c_0_552_553,axiom,
! [X8,X13,X9,X3] :
( c_Set_Oimage(X8,X13,X9,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
c_0_108 ).
fof(c_0_553_554,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_554_555,axiom,
! [X6,X13,X3] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X13,X3),c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X13
| c_in(X6,X13,X3) ),
c_0_110 ).
fof(c_0_555_556,axiom,
! [X6,X12,X13,X3] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X6,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| c_in(X6,X12,X3) ),
c_0_111 ).
fof(c_0_556_557,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X22,X21,X3)
| c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_557_558,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_558_559,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X17,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_559_560,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X17,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_560_561,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X17,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_561_562,plain,
! [X32,X33,X34,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X34,X33,X3),c_SetInterval_Oord__class_OatLeastLessThan(X34,X32,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X32,X33,X3)
| ~ c_lessequals(X34,X32,X3) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_562_563,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X14,X6,X3),c_Lattices_Olower__semilattice__class_Oinf(X16,X6,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_563_564,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_564_565,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X14,X6,X3),c_Lattices_Oupper__semilattice__class_Osup(X16,X6,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_565_566,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_566_567,plain,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| c_in(X22,X13,X3)
| ~ c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_567_568,plain,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X6))
| ~ hBOOL(hAPP(X12,X6))
| ~ hBOOL(hAPP(X13,X6)) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_568_569,plain,
! [X31,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X31,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OlessThan(X31,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X31,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_569_570,plain,
! [X12,X13,X3] :
( c_lessequals(X12,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_570_571,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| ~ c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_571_572,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_572_573,plain,
! [X23,X24,X3] :
( X23 = X24
| ~ c_in(X23,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_573_574,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3)
| c_in(X6,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_574_575,plain,
! [X14,X6,X13,X3] :
( hBOOL(hAPP(X13,X6))
| X14 = X6
| ~ hBOOL(hAPP(c_Set_Oinsert(X14,X13,X3),X6)) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_575_576,plain,
! [X24,X25,X17,X3] :
( c_lessequals(c_Set_Oinsert(X24,X17,X3),c_Set_Oinsert(X24,X25,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X17,X25,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_576_577,plain,
! [X22,X12,X13,X3] :
( ~ c_in(X22,X12,X3)
| ~ c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_577_578,plain,
! [X6,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3)
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_578_579,plain,
! [X6,X12,X13,X3] :
( c_lessequals(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_579_580,plain,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X6))
| ~ hBOOL(hAPP(X12,X6)) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_580_581,plain,
! [X6,X12,X13,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X6))
| ~ hBOOL(hAPP(X13,X6)) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_581_582,plain,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| ~ c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_582_583,plain,
! [X22,X12,X13,X3] :
( c_in(X22,X13,X3)
| ~ c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_583_584,plain,
! [X22,X12,X13,X3] :
( c_in(X22,X13,X3)
| ~ c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_584_585,plain,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_585_586,plain,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_586_587,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_587_588,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_588_589,plain,
! [X6,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X6,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_589_590,plain,
! [X21,X22,X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3),c_SetInterval_Oord__class_OatLeastAtMost(X22,X21,X3),tc_fun(X3,tc_bool))
| c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_590_591,plain,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X12
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_591_592,plain,
! [X22,X12,X13,X3] :
( c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_592_593,plain,
! [X22,X12,X13,X3] :
( c_in(X22,c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_593_594,plain,
! [X6,X12,X13,X3] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_594_595,plain,
! [X6,X12,X13,X3] :
( c_in(X6,X12,X3)
| ~ c_lessequals(c_Set_Oinsert(X6,X13,X3),X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_595_596,plain,
! [X12,X13,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_596_597,plain,
! [X12,X13,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_597_598,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3)
| ~ c_lessequals(X6,X23,X3)
| ~ c_lessequals(X6,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_598_599,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3)
| ~ c_lessequals(X6,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_599_600,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3)
| ~ c_lessequals(X6,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_600_601,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X6,X3)
| ~ c_lessequals(X23,X6,X3)
| ~ c_lessequals(X24,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_601_602,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X6,X3)
| ~ c_lessequals(X16,X6,X3)
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_602_603,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3)
| ~ c_lessequals(X14,X16,X3)
| ~ c_lessequals(X6,X16,X3) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_603_604,plain,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_604_605,plain,
! [X6,X12,X13,X3] :
( ~ c_in(X6,X12,X3)
| ~ c_in(X6,X13,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_605_606,axiom,
! [X23,X24,X3] :
( c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X24 = X23 ),
c_0_161 ).
fof(c_0_606_607,plain,
! [X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X28,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OgreaterThan(X28,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X28,X3) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_607_608,plain,
! [X27,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X27,X3),c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X27,X3) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_608_609,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_609_610,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_610_611,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_611_612,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X14,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_612_613,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X16,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_613_614,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_614_615,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,c_Lattices_Olower__semilattice__class_Oinf(X6,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_615_616,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X16,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_616_617,plain,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastLessThan(X33,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_617_618,plain,
! [X27,X33,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X28,X33,X3),c_SetInterval_Oord__class_OatLeastAtMost(X33,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_618_619,plain,
! [X17,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X12,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_619_620,plain,
! [X17,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_620,plain,
! [X17,X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_621,plain,
! [X17,X12,X13,X3] :
( c_lessequals(X13,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X12,X17,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_622,axiom,
! [X18,X19,X3] :
( c_lessequals(X19,X18,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X19,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X19,X18,X3))) ),
c_0_178 ).
fof(c_0_623,plain,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(X29,X30,X3) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_624,plain,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_lessequals(X29,X30,X3)
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_625,plain,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_HOL_Oord__class_Oless(X30,X29,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_626,plain,
! [X29,X14,X30,X6,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X30,X29,X3) ),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_627,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),c_SetInterval_Oord__class_OgreaterThan(X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X28,X3)
| ~ c_lessequals(X28,X27,X3) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_628,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X27,X3)
| ~ c_lessequals(X28,X27,X3) ),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_629,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X27,X3)
| ~ c_lessequals(X28,X27,X3) ),
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_630,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),c_SetInterval_Oord__class_OatLeast(X27,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X28,X3)
| ~ c_lessequals(X28,X27,X3) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_631,axiom,
! [X24,X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,c_Set_Oinsert(X24,X12,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool))
| c_in(X24,X13,X3) ),
c_0_187 ).
fof(c_0_632,axiom,
! [X24,X17,X12,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X24,X12,X3),X17,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X12,X17,tc_fun(X3,tc_bool))
| c_in(X24,X17,X3) ),
c_0_188 ).
fof(c_0_633,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X24,X6,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_634,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X23,X6,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_635,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,X16,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_636,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X14,X16,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X16,X3) ),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_637,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X24,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_638,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X23,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_639,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X14,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_640,plain,
! [X16,X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(X6,X16,X3)
| ~ c_lessequals(X6,c_Lattices_Olower__semilattice__class_Oinf(X14,X16,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_641,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
c_0_197 ).
fof(c_0_642,plain,
! [X23,X24,X13,X3] :
( c_in(X24,X13,X3)
| X24 = X23
| ~ c_in(X24,c_Set_Oinsert(X23,X13,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_643,plain,
! [X23,X12,X13,X3] :
( c_lessequals(X13,c_Set_Oinsert(X23,X12,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_644,plain,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_645,plain,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_HOL_Oord__class_Oless(X8,X7,tc_fun(X3,X9))
| c_lessequals(X7,X8,tc_fun(X3,X9))
| ~ c_lessequals(X8,X7,tc_fun(X3,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_646,plain,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_647,plain,
! [X22,X12,X13,X3] :
( c_in(X22,c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X22,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_648,plain,
! [X14,X6,X8,X9,X3] :
( ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X9)
| c_lessequals(hAPP(X8,X6),hAPP(X8,X14),X9)
| ~ c_lessequals(X6,X14,X3)
| ~ c_Orderings_Oorder__class_Omono(X8,X3,X9) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_649,plain,
! [X14,X6,X13,X3] :
( hBOOL(hAPP(c_Set_Oinsert(X14,X13,X3),X6))
| ~ hBOOL(hAPP(X13,X6)) ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_650,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_651,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_652,plain,
! [X22,X13,X3] :
( ~ c_in(X22,X13,X3)
| ~ c_in(X22,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_653,axiom,
! [X6,X12,X13,X3] :
( c_Set_Oinsert(X6,X13,X3) != c_Set_Oinsert(X6,X12,X3)
| c_in(X6,X12,X3)
| c_in(X6,X13,X3)
| X13 = X12 ),
c_0_209 ).
fof(c_0_654,plain,
! [X20,X10,X11,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X3)
| ~ c_lessequals(X10,X20,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X11,X20,X3) ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_655,plain,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(X36,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_656,plain,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(X11,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_657,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X6,X3),c_SetInterval_Oord__class_OatLeast(X14,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_658,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X6,X3),c_SetInterval_Oord__class_OatMost(X14,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_659,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X6,X3),c_SetInterval_Oord__class_OgreaterThan(X14,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_660,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X6,X3),c_SetInterval_Oord__class_OlessThan(X14,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_661,plain,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3)
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_662,plain,
! [X26,X12,X13,X3] :
( c_in(X26,X12,X3)
| ~ c_in(X26,X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_663,plain,
! [X6,X12,X13,X3] :
( c_in(X6,X12,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_in(X6,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_664,plain,
! [X22,X12,X13,X3] :
( c_in(X22,X12,X3)
| ~ c_in(X22,X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_665,plain,
! [X6,X12,X13,X3] :
( c_in(X6,X12,X3)
| ~ c_in(X6,X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_666,plain,
! [X13,X3] :
( X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_667,plain,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| ~ c_lessequals(X7,X8,tc_fun(X3,X9))
| ~ c_HOL_Oord__class_Oless(X8,X7,tc_fun(X3,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_668,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_HOL_Oord__class_Oless(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_HOL_Oord__class_Oless(X6,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_669,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_HOL_Oord__class_Oless(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_HOL_Oord__class_Oless(X6,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_670,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_lessequals(X6,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_671,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3)
| ~ c_lessequals(X6,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_672,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(X23,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_673,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(X24,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_674,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_lessequals(X24,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_675,plain,
! [X6,X23,X24,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X6,X3)
| ~ c_lessequals(X23,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_676,plain,
! [X23,X24,X12,X3] :
( c_in(X24,c_Set_Oinsert(X23,X12,X3),X3)
| ~ c_in(X24,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_677,plain,
! [X23,X24,X13,X3] :
( c_in(X24,c_Set_Oinsert(X23,X13,X3),X3)
| ~ c_in(X24,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_678,plain,
! [X12,X13,X3] :
( X13 = X12
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_679,plain,
! [X12,X13,X3] :
( X13 = X12
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_680,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),c_SetInterval_Oord__class_OatLeast(X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_681,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),c_SetInterval_Oord__class_OgreaterThan(X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_682,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_683,plain,
! [X27,X28,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_684,plain,
! [X32,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X32,X3),c_SetInterval_Oord__class_OatLeast(X32,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X32,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_685,axiom,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)) = X13 ),
c_0_241 ).
fof(c_0_686,plain,
! [X6,X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(hAPP(X8,X6),hAPP(X7,X6),X9)
| ~ c_lessequals(X8,X7,tc_fun(X3,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_687,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X16,X3)
| ~ c_HOL_Oord__class_Oless(X14,X16,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_688,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X16,X6,X3)
| ~ c_HOL_Oord__class_Oless(X16,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_689,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X16,X3)
| ~ c_lessequals(X14,X16,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_690,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X16,X3)
| ~ c_HOL_Oord__class_Oless(X14,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_691,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X16,X6,X3)
| ~ c_HOL_Oord__class_Oless(X16,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_692,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X16,X6,X3)
| ~ c_lessequals(X16,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_693,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X6,X16,X3)
| ~ c_lessequals(X14,X16,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_694,plain,
! [X16,X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X16,X6,X3)
| ~ c_lessequals(X16,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_250]) ).
fof(c_0_695,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X6,X3),c_HOL_Ouminus__class_Ouminus(X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_251]) ).
fof(c_0_696,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X24,X23,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_252]) ).
fof(c_0_697,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X6,X3),c_HOL_Ouminus__class_Ouminus(X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_253]) ).
fof(c_0_698,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_699,plain,
! [X13,X3] :
( X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_255]) ).
fof(c_0_700,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_701,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,X23,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_702,plain,
! [X10,X15,X11,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X11,X15,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X15,X10,X3) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_703,plain,
! [X13,X3] :
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_259]) ).
fof(c_0_704,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeast(X6,X3),c_SetInterval_Oord__class_OatLeast(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_705,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatMost(X6,X3),c_SetInterval_Oord__class_OatMost(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_706,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X6,X3),c_SetInterval_Oord__class_OgreaterThan(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_707,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OlessThan(X6,X3),c_SetInterval_Oord__class_OlessThan(X14,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_708,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_264]) ).
fof(c_0_709,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_265]) ).
fof(c_0_710,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_266]) ).
fof(c_0_711,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_267]) ).
fof(c_0_712,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_268]) ).
fof(c_0_713,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_714,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_715,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_271]) ).
fof(c_0_716,plain,
! [X6,X19,X3] :
( ~ hBOOL(hAPP(X19,X6))
| ~ c_in(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_272]) ).
fof(c_0_717,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_HOL_Oord__class_Oless(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_273]) ).
fof(c_0_718,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3)
| ~ c_HOL_Oord__class_Oless(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_719,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_720,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_276]) ).
fof(c_0_721,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_277]) ).
fof(c_0_722,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X23,X3),X3)
| ~ c_lessequals(X23,c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_278]) ).
fof(c_0_723,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_724,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X23,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_725,plain,
! [X7,X8,X9,X3] :
( ~ class_HOL_Oord(X9)
| c_lessequals(X8,X7,tc_fun(X3,X9))
| ~ c_HOL_Oord__class_Oless(X8,X7,tc_fun(X3,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_281]) ).
fof(c_0_726,plain,
! [X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_727,plain,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_728,plain,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X11,X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_729,plain,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X11,X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
inference(fof_simplification,[status(thm)],[c_0_285]) ).
fof(c_0_730,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) != c_Orderings_Otop__class_Otop(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) != c_Orderings_Obot__class_Obot(X3)
| c_HOL_Ouminus__class_Ouminus(X6,X3) = X14 ),
inference(fof_simplification,[status(thm)],[c_0_286]) ).
fof(c_0_731,plain,
! [X24,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X24,X13,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_732,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| c_lessequals(X14,X6,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_288]) ).
fof(c_0_733,plain,
! [X12,X13,X3] :
( X13 = X12
| c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool))
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_289]) ).
fof(c_0_734,plain,
! [X12,X13,X3] :
( c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool))
| X13 = X12
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_290]) ).
fof(c_0_735,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) != X12
| c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
c_0_291 ).
fof(c_0_736,plain,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) = X13
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_737,plain,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) = X12
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_293]) ).
fof(c_0_738,plain,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) = X13
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_294]) ).
fof(c_0_739,plain,
! [X12,X13,X3] :
( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X3,tc_bool)) = X12
| ~ c_lessequals(X12,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_295]) ).
fof(c_0_740,plain,
! [X6,X18,X19,X3] :
( hBOOL(hAPP(X18,X6))
| ~ c_lessequals(X19,X18,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X19,X6)) ),
inference(fof_simplification,[status(thm)],[c_0_296]) ).
fof(c_0_741,plain,
! [X6,X18,X19,X3] :
( hBOOL(hAPP(X18,X6))
| ~ hBOOL(hAPP(X19,X6))
| ~ c_lessequals(X19,X18,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_297]) ).
fof(c_0_742,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_298]) ).
fof(c_0_743,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X23,X3),c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_744,plain,
! [X12,X13,X3] :
( c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_300]) ).
fof(c_0_745,plain,
! [X6,X19,X3] :
( hBOOL(hAPP(X19,X6))
| ~ c_in(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_301]) ).
fof(c_0_746,plain,
! [X10,X11,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X11,X10,X3)
| ~ c_lessequals(X10,X11,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_302]) ).
fof(c_0_747,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X12 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_303 ).
fof(c_0_748,axiom,
! [X12,X13,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X13 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_304 ).
fof(c_0_749,plain,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_750,plain,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X11,X3) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_751,plain,
! [X11,X36,X3] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X36,X11,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X36,X3) ),
inference(fof_simplification,[status(thm)],[c_0_307]) ).
fof(c_0_752,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_HOL_Oord__class_Oless(X31,X34,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OgreaterThan(X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_753,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_HOL_Oord__class_Oless(X34,X31,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OlessThan(X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_754,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_lessequals(X31,X34,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OatLeast(X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_755,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_lessequals(X34,X31,X3)
| ~ c_in(X34,c_SetInterval_Oord__class_OatMost(X31,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_756,axiom,
! [X38,X6,X3] :
( c_Set_Oinsert(X6,X38,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X6,X38,X3) ),
c_0_312 ).
fof(c_0_757,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X24,X23,X3),X3) = c_HOL_Ominus__class_Ominus(X23,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_313]) ).
fof(c_0_758,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| ~ c_lessequals(X6,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_314]) ).
fof(c_0_759,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| ~ c_lessequals(X14,X6,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_315]) ).
fof(c_0_760,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| ~ c_lessequals(X14,X6,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_316]) ).
fof(c_0_761,axiom,
! [X22,X13,X3] :
( c_in(X22,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)),X3)
| c_in(X22,X13,X3) ),
c_0_317 ).
fof(c_0_762,plain,
! [X14,X38,X6,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X38,X14,X3) != c_HOL_Ominus__class_Ominus(X6,X6,X3)
| X38 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_318]) ).
fof(c_0_763,plain,
! [X29,X30,X6,X3] :
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X6,X6,X3) != c_HOL_Ominus__class_Ominus(X30,X29,X3)
| X30 = X29 ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_764,plain,
! [X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X6,X6,X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_765,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_766,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_322]) ).
fof(c_0_767,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X14,X6,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_768,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3)
| ~ c_HOL_Oord__class_Oless(X23,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_769,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_325]) ).
fof(c_0_770,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X14,X6,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_771,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X23,X24,X3)
| ~ c_HOL_Oord__class_Oless(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_772,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X23,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_773,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X23,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_774,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OgreaterThan(X31,X3),X3)
| ~ c_HOL_Oord__class_Oless(X31,X34,X3) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_775,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OlessThan(X31,X3),X3)
| ~ c_HOL_Oord__class_Oless(X34,X31,X3) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_776,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OatLeast(X31,X3),X3)
| ~ c_lessequals(X31,X34,X3) ),
inference(fof_simplification,[status(thm)],[c_0_332]) ).
fof(c_0_777,plain,
! [X31,X34,X3] :
( ~ class_HOL_Oord(X3)
| c_in(X34,c_SetInterval_Oord__class_OatMost(X31,X3),X3)
| ~ c_lessequals(X34,X31,X3) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_778,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_334]) ).
fof(c_0_779,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_335]) ).
fof(c_0_780,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_336]) ).
fof(c_0_781,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_337]) ).
fof(c_0_782,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_338]) ).
fof(c_0_783,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3),X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_339]) ).
fof(c_0_784,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_340]) ).
fof(c_0_785,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_341]) ).
fof(c_0_786,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X14,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_342]) ).
fof(c_0_787,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_343]) ).
fof(c_0_788,plain,
! [X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X24,X3) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_344]) ).
fof(c_0_789,plain,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_345]) ).
fof(c_0_790,plain,
! [X12,X13,X3] :
( c_Finite__Set_Ofinite(X13,X3)
| ~ c_Finite__Set_Ofinite(X12,X3)
| ~ c_lessequals(X13,X12,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_346]) ).
fof(c_0_791,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_347]) ).
fof(c_0_792,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| ~ c_lessequals(X6,X14,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_348]) ).
fof(c_0_793,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X24,X23,X3)
| ~ c_lessequals(X24,X23,X3)
| X24 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_349]) ).
fof(c_0_794,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X24,X23,X3)
| X24 = X23
| ~ c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_350]) ).
fof(c_0_795,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| X6 = X14
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_351]) ).
fof(c_0_796,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3)
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_352]) ).
fof(c_0_797,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X23,X24,X3)
| ~ c_lessequals(X23,X24,X3)
| X24 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_353]) ).
fof(c_0_798,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_HOL_Oord__class_Oless(X23,X24,X3)
| X24 = X23
| ~ c_lessequals(X23,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_354]) ).
fof(c_0_799,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) != X14
| c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_355]) ).
fof(c_0_800,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) != X6
| c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_356]) ).
fof(c_0_801,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = X14
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_357]) ).
fof(c_0_802,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = X6
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_358]) ).
fof(c_0_803,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = X6
| ~ c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_359]) ).
fof(c_0_804,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = X14
| ~ c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_360]) ).
fof(c_0_805,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_361]) ).
fof(c_0_806,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X6,X14,X3)
| ~ c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_807,plain,
! [X24,X13,X3] :
( c_Finite__Set_Ofinite(c_Set_Oinsert(X24,X13,X3),X3)
| ~ c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_363]) ).
fof(c_0_808,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3)
| c_HOL_Oord__class_Oless(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_809,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3)
| c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_365]) ).
fof(c_0_810,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_366]) ).
fof(c_0_811,plain,
! [X23,X24,X3] :
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X24,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X24,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_367]) ).
fof(c_0_812,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ominus__class_Ominus(X6,X14,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_HOL_Ouminus__class_Ouminus(X14,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_368]) ).
fof(c_0_813,plain,
! [X24,X13,X3] :
( c_Set_Oinsert(X24,X13,X3) = X13
| ~ c_in(X24,X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_814,plain,
! [X14,X6,X3] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_815,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_816,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_372]) ).
fof(c_0_817,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_373]) ).
fof(c_0_818,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| X6 = X14
| c_HOL_Oord__class_Oless(X6,X14,X3)
| c_HOL_Oord__class_Oless(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_374]) ).
fof(c_0_819,axiom,
! [X12,X13,X3] :
( c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X12,tc_fun(X3,tc_bool))
| X13 = X12 ),
c_0_375 ).
fof(c_0_820,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X6,X14,X3)
| c_lessequals(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_376]) ).
fof(c_0_821,plain,
! [X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X6,X6,X3)
| c_lessequals(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_377]) ).
fof(c_0_822,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X14,X6,X3)
| c_HOL_Oord__class_Oless(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_378]) ).
fof(c_0_823,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X14,X6,X3)
| c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_379]) ).
fof(c_0_824,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X14,X6,X3)
| c_lessequals(X6,X14,X3) ),
inference(fof_simplification,[status(thm)],[c_0_380]) ).
fof(c_0_825,plain,
! [X6,X39,X3] :
( hBOOL(hAPP(X39,X6))
| ~ c_in(X6,X39,X3) ),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_826,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_382]) ).
fof(c_0_827,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X14,X3) = c_Lattices_Olower__semilattice__class_Oinf(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_828,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_829,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X14,X3) = c_Lattices_Oupper__semilattice__class_Osup(X14,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_385]) ).
fof(c_0_830,plain,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X3) != c_Orderings_Obot__class_Obot(X3)
| X13 = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_386]) ).
fof(c_0_831,plain,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X3) != c_Orderings_Obot__class_Obot(X3)
| X12 = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_387]) ).
fof(c_0_832,plain,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X3) != c_Orderings_Otop__class_Otop(X3)
| X12 = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_388]) ).
fof(c_0_833,plain,
! [X12,X13,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X3) != c_Orderings_Otop__class_Otop(X3)
| X13 = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_389]) ).
fof(c_0_834,plain,
! [X6,X39,X3] :
( c_in(X6,X39,X3)
| ~ hBOOL(hAPP(X39,X6)) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_835,plain,
! [X6,X3] :
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_391]) ).
fof(c_0_836,plain,
! [X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_392]) ).
fof(c_0_837,plain,
! [X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_393]) ).
fof(c_0_838,plain,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_HOL_Ouminus__class_Ouminus(X6,X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_394]) ).
fof(c_0_839,plain,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X6,X3),X6,X3) = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_395]) ).
fof(c_0_840,plain,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X6,X3),X6,X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_396]) ).
fof(c_0_841,plain,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_HOL_Ouminus__class_Ouminus(X6,X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_397]) ).
fof(c_0_842,plain,
! [X1,X2,X3] :
( X2 = X1
| ~ c_fequal(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_398]) ).
fof(c_0_843,plain,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X31,X3) ),
inference(fof_simplification,[status(thm)],[c_0_399]) ).
fof(c_0_844,plain,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X31,X3) ),
inference(fof_simplification,[status(thm)],[c_0_400]) ).
fof(c_0_845,plain,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X31,X3) ),
inference(fof_simplification,[status(thm)],[c_0_401]) ).
fof(c_0_846,plain,
! [X31,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X31,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X31,X3) ),
inference(fof_simplification,[status(thm)],[c_0_402]) ).
fof(c_0_847,plain,
! [X3] :
( ~ class_Finite__Set_Ofinite_Ofinite(X3)
| c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_403]) ).
fof(c_0_848,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_404]) ).
fof(c_0_849,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X6,X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_405]) ).
fof(c_0_850,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_851,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X3),X6,X3) = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_407]) ).
fof(c_0_852,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,c_Orderings_Obot__class_Obot(X3),X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_408]) ).
fof(c_0_853,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X6,X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_409]) ).
fof(c_0_854,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,c_Orderings_Otop__class_Otop(X3),X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_410]) ).
fof(c_0_855,plain,
! [X6,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X3),X6,X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_411]) ).
fof(c_0_856,plain,
! [X6,X3] :
( ~ class_Orderings_Otop(X3)
| c_lessequals(X6,c_Orderings_Otop__class_Otop(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_412]) ).
fof(c_0_857,plain,
! [X6,X3] :
( ~ class_Orderings_Obot(X3)
| c_lessequals(c_Orderings_Obot__class_Obot(X3),X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_413]) ).
fof(c_0_858,plain,
! [X6,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X6,X6,X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_414]) ).
fof(c_0_859,plain,
! [X6,X3] :
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X6,X6,X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_415]) ).
fof(c_0_860,plain,
! [X6,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_416]) ).
fof(c_0_861,plain,
! [X6,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X6,X6,X3) ),
inference(fof_simplification,[status(thm)],[c_0_417]) ).
fof(c_0_862,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OlessThan(X6,X3) != c_SetInterval_Oord__class_OlessThan(X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_418]) ).
fof(c_0_863,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OgreaterThan(X6,X3) != c_SetInterval_Oord__class_OgreaterThan(X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_419]) ).
fof(c_0_864,plain,
! [X14,X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(X6,X3) != c_HOL_Ouminus__class_Ouminus(X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_420]) ).
fof(c_0_865,plain,
! [X23,X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(X24,X3) != c_HOL_Ouminus__class_Ouminus(X23,X3)
| X24 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_421]) ).
fof(c_0_866,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OatLeast(X6,X3) != c_SetInterval_Oord__class_OatLeast(X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_422]) ).
fof(c_0_867,plain,
! [X14,X6,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OatMost(X6,X3) != c_SetInterval_Oord__class_OatMost(X14,X3)
| X6 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_423]) ).
fof(c_0_868,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_424]) ).
fof(c_0_869,plain,
! [X6,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X6,X3),X3) = X6 ),
inference(fof_simplification,[status(thm)],[c_0_425]) ).
fof(c_0_870,plain,
! [X23,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X23 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_426]) ).
fof(c_0_871,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X24 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_427]) ).
fof(c_0_872,plain,
! [X23,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X23,X3),X3) = X23 ),
inference(fof_simplification,[status(thm)],[c_0_428]) ).
fof(c_0_873,plain,
! [X4,X5] :
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X4,X5))
| ~ class_Finite__Set_Ofinite_Ofinite(X5)
| ~ class_Finite__Set_Ofinite_Ofinite(X4) ),
inference(fof_simplification,[status(thm)],[c_0_429]) ).
fof(c_0_874,plain,
! [X4,X5] :
( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
| ~ class_Lattices_Olattice(X5) ),
inference(fof_simplification,[status(thm)],[c_0_430]) ).
fof(c_0_875,plain,
! [X4,X5] :
( class_Lattices_Olower__semilattice(tc_fun(X4,X5))
| ~ class_Lattices_Olattice(X5) ),
inference(fof_simplification,[status(thm)],[c_0_431]) ).
fof(c_0_876,plain,
! [X4,X5] :
( class_Lattices_Odistrib__lattice(tc_fun(X4,X5))
| ~ class_Lattices_Odistrib__lattice(X5) ),
inference(fof_simplification,[status(thm)],[c_0_432]) ).
fof(c_0_877,plain,
! [X4,X5] :
( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
| ~ class_Lattices_Obounded__lattice(X5) ),
inference(fof_simplification,[status(thm)],[c_0_433]) ).
fof(c_0_878,plain,
! [X4,X5] :
( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
| ~ class_Lattices_Oboolean__algebra(X5) ),
inference(fof_simplification,[status(thm)],[c_0_434]) ).
fof(c_0_879,plain,
! [X4,X5] :
( class_Orderings_Opreorder(tc_fun(X4,X5))
| ~ class_Orderings_Opreorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_435]) ).
fof(c_0_880,plain,
! [X4,X5] :
( class_Lattices_Olattice(tc_fun(X4,X5))
| ~ class_Lattices_Olattice(X5) ),
inference(fof_simplification,[status(thm)],[c_0_436]) ).
fof(c_0_881,plain,
! [X4,X5] :
( class_Orderings_Oorder(tc_fun(X4,X5))
| ~ class_Orderings_Oorder(X5) ),
inference(fof_simplification,[status(thm)],[c_0_437]) ).
fof(c_0_882,plain,
! [X4,X5] :
( class_Orderings_Otop(tc_fun(X4,X5))
| ~ class_Orderings_Otop(X5) ),
inference(fof_simplification,[status(thm)],[c_0_438]) ).
fof(c_0_883,plain,
! [X4,X5] :
( class_Orderings_Obot(tc_fun(X4,X5))
| ~ class_Orderings_Obot(X5) ),
inference(fof_simplification,[status(thm)],[c_0_439]) ).
fof(c_0_884,plain,
! [X4,X5] :
( class_HOL_Oord(tc_fun(X4,X5))
| ~ class_HOL_Oord(X5) ),
inference(fof_simplification,[status(thm)],[c_0_440]) ).
fof(c_0_885,plain,
! [X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
inference(fof_simplification,[status(thm)],[c_0_441]) ).
fof(c_0_886,plain,
! [X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_442]) ).
fof(c_0_887,plain,
! [X13,X3] :
( ~ class_Finite__Set_Ofinite_Ofinite(X3)
| c_Finite__Set_Ofinite(X13,X3) ),
inference(fof_simplification,[status(thm)],[c_0_443]) ).
fof(c_0_888,plain,
! [X14,X15,X16,X17,X18] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X18,tc_bool)),X18,X17),c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X18,tc_bool)),X18,X17),tc_fun(X17,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
| ~ c_Fun_Oinj__on(X14,X15,X18,X17)
| ~ c_Fun_Oinj__on(X14,X16,X18,X17)
| c_Fun_Oinj__on(X14,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_444]) ).
fof(c_0_889,plain,
! [X10,X11,X12,X13] :
( ~ class_HOL_Oord(X12)
| c_lessequals(X11,X10,tc_fun(X13,X12))
| ~ c_lessequals(hAPP(X11,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X11,X10,X13,X12)),hAPP(X10,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X11,X10,X13,X12)),X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_445])])]) ).
fof(c_0_890,plain,
! [X10,X11,X12,X13] :
( ~ class_HOL_Oord(X12)
| c_lessequals(X11,X10,tc_fun(X13,X12))
| ~ c_lessequals(hAPP(X11,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X11,X10,X13,X12)),hAPP(X10,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X11,X10,X13,X12)),X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_446])])]) ).
fof(c_0_891,plain,
! [X25,X26,X27,X28,X29] :
( ~ c_in(hAPP(X25,X26),c_Set_Oimage(X25,c_HOL_Ominus__class_Ominus(X27,c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),tc_fun(X29,tc_bool)),X29,X28),X28)
| ~ c_Fun_Oinj__on(X25,c_Set_Oinsert(X26,X27,X29),X29,X28) ),
inference(variable_rename,[status(thm)],[c_0_447]) ).
fof(c_0_892,plain,
! [X25,X26,X27,X28,X29] :
( c_Fun_Oinj__on(X25,c_Set_Oinsert(X26,X27,X29),X29,X28)
| c_in(hAPP(X25,X26),c_Set_Oimage(X25,c_HOL_Ominus__class_Ominus(X27,c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),tc_fun(X29,tc_bool)),X29,X28),X28)
| ~ c_Fun_Oinj__on(X25,X27,X29,X28) ),
inference(variable_rename,[status(thm)],[c_0_448]) ).
fof(c_0_893,plain,
! [X14,X15,X16,X17,X18] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X18,tc_bool)),X18,X17),c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X15,X16,tc_fun(X18,tc_bool)),X18,X17),tc_fun(X17,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_449]) ).
fof(c_0_894,plain,
! [X14,X15,X16,X17] :
( c_lessequals(c_Set_Oimage(X14,c_HOL_Ouminus__class_Ouminus(X15,tc_fun(X17,tc_bool)),X17,X16),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X14,X15,X17,X16),tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X17,X16) ),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_895,plain,
! [X14,X15,X16,X17,X18] :
( c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X14,X16,X18,X17),c_Set_Oimage(X14,X15,X18,X17),tc_fun(X17,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_896,plain,
! [X18,X19,X20,X21,X22,X23] :
( c_Set_Oimage(X18,c_Lattices_Olower__semilattice__class_Oinf(X21,X20,tc_fun(X23,tc_bool)),X23,X22) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X18,X21,X23,X22),c_Set_Oimage(X18,X20,X23,X22),tc_fun(X22,tc_bool))
| ~ c_lessequals(X20,X19,tc_fun(X23,tc_bool))
| ~ c_lessequals(X21,X19,tc_fun(X23,tc_bool))
| ~ c_Fun_Oinj__on(X18,X19,X23,X22) ),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_897,plain,
! [X18,X19,X20,X21,X22,X23] :
( c_Set_Oimage(X18,c_HOL_Ominus__class_Ominus(X21,X20,tc_fun(X23,tc_bool)),X23,X22) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X18,X21,X23,X22),c_Set_Oimage(X18,X20,X23,X22),tc_fun(X22,tc_bool))
| ~ c_lessequals(X20,X19,tc_fun(X23,tc_bool))
| ~ c_lessequals(X21,X19,tc_fun(X23,tc_bool))
| ~ c_Fun_Oinj__on(X18,X19,X23,X22) ),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_898,plain,
! [X14,X15,X16,X17,X18] :
( c_lessequals(c_Set_Ovimage(X14,X15,X18,X17),X16,tc_fun(X18,tc_bool))
| ~ c_lessequals(X15,c_Set_Oimage(X14,X16,X18,X17),tc_fun(X17,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_454]) ).
fof(c_0_899,plain,
! [X14,X15,X16,X17,X18] :
( c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X18,tc_bool)),X18,X17) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X14,X16,X18,X17),c_Set_Oimage(X14,X15,X18,X17),tc_fun(X17,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_455]) ).
fof(c_0_900,plain,
! [X14,X15,X16,X17,X18] :
( c_Set_Oimage(X14,c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X18,tc_bool)),X18,X17) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X14,X16,X18,X17),c_Set_Oimage(X14,X15,X18,X17),tc_fun(X17,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_456]) ).
fof(c_0_901,plain,
! [X14,X15,X16,X17,X18] :
( hBOOL(hAPP(X16,hAPP(X15,X14)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X15,X16,X18,X17),X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_457])])]) ).
fof(c_0_902,plain,
! [X14,X15,X16,X17,X18] :
( c_lessequals(c_Set_Oimage(X14,X16,X18,X17),c_Set_Oimage(X14,X15,X18,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_458]) ).
fof(c_0_903,plain,
! [X14,X15,X16] :
( c_Set_Oimage(X14,X15,X16,X16) = X15
| ~ c_Fun_Oinj__on(X14,X15,X16,X16)
| ~ c_lessequals(c_Set_Oimage(X14,X15,X16,X16),X15,tc_fun(X16,tc_bool))
| ~ c_Finite__Set_Ofinite(X15,X16) ),
inference(variable_rename,[status(thm)],[c_0_459]) ).
fof(c_0_904,plain,
! [X25,X26,X27,X28,X29] :
( hAPP(X25,X27) = X26
| ~ c_in(X27,c_Set_Ovimage(X25,c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool)),X28),X29,X28),X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_460])])]) ).
fof(c_0_905,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool))
| ~ c_HOL_Oord__class_Oless(X16,X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_461]) ).
fof(c_0_906,plain,
! [X25,X26,X27,X28,X29] :
( c_in(X26,X27,X29)
| ~ c_in(hAPP(X25,X26),c_Set_Oimage(X25,X27,X29,X28),X28)
| ~ c_Fun_Oinj__on(X25,c_Orderings_Otop__class_Otop(tc_fun(X29,tc_bool)),X29,X28) ),
inference(variable_rename,[status(thm)],[c_0_462]) ).
fof(c_0_907,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool))
| ~ c_HOL_Oord__class_Oless(X16,X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_463]) ).
fof(c_0_908,plain,
! [X14,X15,X16,X17,X18] :
( c_Set_Oimage(X14,X16,X18,X17) != c_Set_Oimage(X14,X15,X18,X17)
| ~ c_Fun_Oinj__on(X14,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),X18,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_464]) ).
fof(c_0_909,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool))
| c_in(X14,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_465]) ).
fof(c_0_910,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool))
| c_in(X14,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_466]) ).
fof(c_0_911,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_467]) ).
fof(c_0_912,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_468]) ).
fof(c_0_913,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_469]) ).
fof(c_0_914,plain,
! [X14,X15,X16,X17,X18] :
( c_Set_Oimage(X14,X16,X18,X17) != c_Set_Oimage(X14,X15,X18,X17)
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_470]) ).
fof(c_0_915,plain,
! [X14,X15,X16,X17] :
( c_Set_Ovimage(X14,c_Set_Oimage(X14,X15,X17,X16),X17,X16) = X15
| ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X17,X16) ),
inference(variable_rename,[status(thm)],[c_0_471]) ).
fof(c_0_916,plain,
! [X14,X15,X16,X17] :
( c_Finite__Set_Ofinite(X15,X16)
| ~ c_Fun_Oinj__on(X14,X15,X16,X17)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X14,X15,X16,X17),X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_472])])]) ).
fof(c_0_917,plain,
! [X14,X15,X16,X17,X18] :
( ~ c_lessequals(X14,X16,tc_fun(X17,tc_bool))
| c_lessequals(c_Set_Oimage(X15,X14,X17,X18),c_Set_Oimage(X15,X16,X17,X18),tc_fun(X18,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_473])])]) ).
fof(c_0_918,plain,
! [X14,X15,X16,X17,X18] :
( c_lessequals(c_Set_Oimage(X14,X16,X18,X17),c_Set_Oimage(X14,X15,X18,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_474]) ).
fof(c_0_919,plain,
! [X14,X15,X16,X17,X18] :
( c_lessequals(c_Set_Ovimage(X14,X16,X17,X18),c_Set_Ovimage(X14,X15,X17,X18),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_475]) ).
fof(c_0_920,plain,
! [X14,X15,X16] :
( c_Fun_Oinj__on(X14,X15,X16,X16)
| ~ c_lessequals(X15,c_Set_Oimage(X14,X15,X16,X16),tc_fun(X16,tc_bool))
| ~ c_Finite__Set_Ofinite(X15,X16) ),
inference(variable_rename,[status(thm)],[c_0_476]) ).
fof(c_0_921,plain,
! [X14,X15,X16,X17,X18] :
( hBOOL(hAPP(c_Set_Ovimage(X15,X16,X18,X17),X14))
| ~ hBOOL(hAPP(X16,hAPP(X15,X14))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_477])])]) ).
fof(c_0_922,plain,
! [X25,X26,X27,X28,X29] :
( c_in(hAPP(X25,X26),c_Set_Oimage(X25,X27,X29,X28),X28)
| ~ c_in(X26,X27,X29)
| ~ c_Fun_Oinj__on(X25,c_Orderings_Otop__class_Otop(tc_fun(X29,tc_bool)),X29,X28) ),
inference(variable_rename,[status(thm)],[c_0_478]) ).
fof(c_0_923,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17)
| c_in(X14,X15,X17)
| ~ c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_479]) ).
fof(c_0_924,plain,
! [X14,X15,X16,X17,X18,X19] :
( c_in(hAPP(X15,X14),X16,X19)
| ~ c_in(X14,X17,X18)
| ~ c_lessequals(c_Set_Oimage(X15,X17,X18,X19),X16,tc_fun(X19,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_480]) ).
fof(c_0_925,plain,
! [X14,X15,X16,X17] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)),X17),tc_fun(X17,tc_bool)),X15,tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17)
| ~ c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_481]) ).
fof(c_0_926,plain,
! [X37,X38,X39,X40] :
( c_Finite__Set_Ofinite(c_Set_Ovimage(X37,X38,X39,X40),X39)
| ~ c_Fun_Oinj__on(X37,c_Orderings_Otop__class_Otop(tc_fun(X39,tc_bool)),X39,X40)
| ~ c_Finite__Set_Ofinite(X38,X40) ),
inference(variable_rename,[status(thm)],[c_0_482]) ).
fof(c_0_927,plain,
! [X25,X26,X27,X28,X29] :
( c_in(hAPP(X25,X26),X27,X28)
| ~ c_in(X26,c_Set_Ovimage(X25,X27,X29,X28),X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_483])])]) ).
fof(c_0_928,plain,
! [X25,X26,X27,X28,X29] :
( c_in(hAPP(X25,X26),X27,X28)
| ~ c_in(X26,c_Set_Ovimage(X25,X27,X29,X28),X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_484])])]) ).
fof(c_0_929,plain,
! [X14,X15,X16,X17,X18] :
( c_Finite__Set_Ofinite(X15,X17)
| ~ c_lessequals(X15,c_Set_Oimage(X14,X16,X18,X17),tc_fun(X17,tc_bool))
| ~ c_Finite__Set_Ofinite(X16,X18) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_485])])]) ).
fof(c_0_930,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olattice(X20)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20),c_Lattices_Olower__semilattice__class_Oinf(X19,X17,X20),X20),c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_486]) ).
fof(c_0_931,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olattice(X20)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),c_Lattices_Oupper__semilattice__class_Osup(X19,X17,X20),X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_487]) ).
fof(c_0_932,plain,
! [X14,X15,X16,X17,X18] :
( c_Set_Oinsert(hAPP(X15,X14),c_Set_Oimage(X15,X16,X18,X17),X17) = c_Set_Oimage(X15,X16,X18,X17)
| ~ c_in(X14,X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_488]) ).
fof(c_0_933,plain,
! [X14,X15,X16,X17,X18] :
( c_Fun_Oinj__on(X14,X15,X18,X17)
| ~ c_Fun_Oinj__on(X14,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_489]) ).
fof(c_0_934,plain,
! [X14,X15,X16,X17,X18] :
( c_Fun_Oinj__on(X14,X16,X18,X17)
| ~ c_Fun_Oinj__on(X14,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_490]) ).
fof(c_0_935,plain,
! [X25,X26,X27,X28,X29] :
( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
| X28 = X25
| X28 = X26 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_491])])]) ).
fof(c_0_936,plain,
! [X25,X26,X27,X28,X29] :
( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
| X27 = X26
| X28 = X26 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_492])])]) ).
fof(c_0_937,plain,
! [X25,X26,X27,X28,X29] :
( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
| X28 = X25
| X27 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_493])])]) ).
fof(c_0_938,plain,
! [X25,X26,X27,X28,X29] :
( c_Set_Oinsert(X28,c_Set_Oinsert(X27,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29) != c_Set_Oinsert(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),X29)
| X27 = X26
| X27 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_494])])]) ).
fof(c_0_939,plain,
! [X25,X26,X27,X28,X29] :
( c_Fun_Oinj__on(X25,X27,X29,X28)
| ~ c_Fun_Oinj__on(X25,c_Set_Oinsert(X26,X27,X29),X29,X28) ),
inference(variable_rename,[status(thm)],[c_0_495]) ).
fof(c_0_940,plain,
! [X18,X19,X20,X21] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X20,c_Lattices_Oupper__semilattice__class_Osup(X19,X18,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| c_lessequals(X18,X20,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_496]) ).
fof(c_0_941,plain,
! [X14,X15,X16,X17,X18] :
( c_Fun_Oinj__on(X14,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X18,tc_bool)),X18,X17)
| ~ c_Fun_Oinj__on(X14,X16,X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_497]) ).
fof(c_0_942,plain,
! [X25,X26,X27,X28] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X28,tc_bool)),X28)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X27,c_Set_Oinsert(X25,X26,X28),tc_fun(X28,tc_bool)),X28) ),
inference(variable_rename,[status(thm)],[c_0_498]) ).
fof(c_0_943,plain,
! [X14,X15,X16,X17,X18] :
( c_Fun_Oinj__on(X14,X16,X18,X17)
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_Fun_Oinj__on(X14,X15,X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_499]) ).
fof(c_0_944,plain,
! [X25,X26,X27] :
( c_Set_Oinsert(X25,c_HOL_Ominus__class_Ominus(X26,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)),X27),tc_fun(X27,tc_bool)),X27) = X26
| ~ c_in(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_500]) ).
fof(c_0_945,plain,
! [X25,X26,X27,X28,X29] :
( c_in(X26,c_Set_Ovimage(X25,X27,X29,X28),X29)
| ~ c_in(hAPP(X25,X26),X27,X28) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_501])])]) ).
fof(c_0_946,plain,
! [X25,X26,X27,X28,X29] :
( c_in(X26,c_Set_Ovimage(X25,X27,X28,X29),X28)
| ~ c_in(hAPP(X25,X26),X27,X29) ),
inference(variable_rename,[status(thm)],[c_0_502]) ).
fof(c_0_947,plain,
! [X25,X26,X27,X28,X29] :
( c_in(X26,c_Set_Ovimage(X25,X27,X28,X29),X28)
| ~ c_in(hAPP(X25,X26),X27,X29) ),
inference(variable_rename,[status(thm)],[c_0_503]) ).
fof(c_0_948,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_HOL_Oord__class_Oless(X27,X25,X29)
| c_HOL_Oord__class_Oless(X26,X28,X29)
| ~ c_lessequals(X28,X27,X29)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_504]) ).
fof(c_0_949,plain,
! [X38,X39,X40,X41,X42] :
( ~ c_in(X38,X40,X41)
| c_in(hAPP(X39,X38),c_Set_Oimage(X39,X40,X41,X42),X42) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_505])])]) ).
fof(c_0_950,plain,
! [X14,X15,X16,X17,X18] :
( ~ c_in(X14,X16,X17)
| c_in(hAPP(X15,X14),c_Set_Oimage(X15,X16,X17,X18),X18) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_506])])]) ).
fof(c_0_951,plain,
! [X14,X15,X16,X17,X18] :
( c_in(hAPP(X15,X14),c_Set_Oimage(X15,X16,X17,X18),X18)
| ~ c_in(X14,X16,X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_507])])]) ).
fof(c_0_952,plain,
! [X14,X15,X16,X17,X18] :
( c_in(hAPP(X15,X14),c_Set_Oimage(X15,X16,X18,X17),X17)
| ~ c_in(X14,X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_508]) ).
fof(c_0_953,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool))
| ~ c_lessequals(X26,X25,X29)
| ~ c_HOL_Oord__class_Oless(X27,X25,X29)
| ~ c_lessequals(X27,X25,X29)
| ~ c_lessequals(X26,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_509]) ).
fof(c_0_954,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool))
| ~ c_lessequals(X26,X25,X29)
| ~ c_HOL_Oord__class_Oless(X26,X28,X29)
| ~ c_lessequals(X27,X25,X29)
| ~ c_lessequals(X26,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_510]) ).
fof(c_0_955,plain,
! [X25,X26,X27,X28] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X27,c_Set_Oinsert(X25,X26,X28),tc_fun(X28,tc_bool)),X28)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X28,tc_bool)),X28) ),
inference(variable_rename,[status(thm)],[c_0_511]) ).
fof(c_0_956,plain,
! [X26,X27,X28,X29,X30] :
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X29,X28,tc_fun(X30,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X27,X26,tc_fun(X30,tc_bool)),tc_fun(X30,tc_bool))
| ~ c_lessequals(X28,X26,tc_fun(X30,tc_bool))
| ~ c_lessequals(X29,X27,tc_fun(X30,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_512]) ).
fof(c_0_957,plain,
! [X26,X27,X28,X29,X30] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X29,X28,tc_fun(X30,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X27,X26,tc_fun(X30,tc_bool)),tc_fun(X30,tc_bool))
| ~ c_lessequals(X28,X26,tc_fun(X30,tc_bool))
| ~ c_lessequals(X29,X27,tc_fun(X30,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_513]) ).
fof(c_0_958,plain,
! [X26,X27,X28,X29,X30] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X29,X28,tc_fun(X30,tc_bool)),c_HOL_Ominus__class_Ominus(X27,X26,tc_fun(X30,tc_bool)),tc_fun(X30,tc_bool))
| ~ c_lessequals(X26,X28,tc_fun(X30,tc_bool))
| ~ c_lessequals(X29,X27,tc_fun(X30,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_514]) ).
fof(c_0_959,plain,
! [X15,X16,X17,X18,X19,X20] :
( hAPP(X17,X16) != hAPP(X17,X15)
| ~ c_in(X15,X18,X20)
| ~ c_in(X16,X18,X20)
| X16 = X15
| ~ c_Fun_Oinj__on(X17,X18,X20,X19) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_515])])]) ).
fof(c_0_960,plain,
! [X15,X16,X17,X18,X19,X20] :
( hAPP(X17,X16) != hAPP(X17,X15)
| ~ c_in(X15,X18,X20)
| ~ c_in(X16,X18,X20)
| ~ c_Fun_Oinj__on(X17,X18,X20,X19)
| X16 = X15 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_516])])]) ).
fof(c_0_961,plain,
! [X39,X40,X41,X42,X43,X44] :
( hAPP(X41,X40) != hAPP(X41,X39)
| ~ c_in(X39,X42,X44)
| ~ c_in(X40,X42,X44)
| ~ c_Fun_Oinj__on(X41,X42,X44,X43)
| X40 = X39 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_517])])]) ).
fof(c_0_962,plain,
! [X15,X16,X17,X18,X19,X20] :
( hAPP(X17,X16) != hAPP(X17,X15)
| ~ c_Fun_Oinj__on(X17,X18,X20,X19)
| X16 = X15
| ~ c_in(X15,X18,X20)
| ~ c_in(X16,X18,X20) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_518])])]) ).
fof(c_0_963,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(X26,X28,X29)
| ~ c_lessequals(X28,X27,X29)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_519]) ).
fof(c_0_964,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(X27,X25,X29)
| ~ c_lessequals(X28,X27,X29)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_520]) ).
fof(c_0_965,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(X26,X28,X29)
| ~ c_lessequals(X28,X27,X29)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_521]) ).
fof(c_0_966,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(X27,X25,X29)
| ~ c_lessequals(X28,X27,X29)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_522]) ).
fof(c_0_967,plain,
! [X14,X15,X16,X17,X18] :
( ~ class_Lattices_Oupper__semilattice(X18)
| ~ class_Lattices_Oupper__semilattice(X17)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X14,X16),hAPP(X14,X15),X17),hAPP(X14,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X18)),X17)
| ~ c_Orderings_Oorder__class_Omono(X14,X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_523]) ).
fof(c_0_968,plain,
! [X14,X15,X16,X17,X18] :
( ~ class_Lattices_Olower__semilattice(X18)
| ~ class_Lattices_Olower__semilattice(X17)
| c_lessequals(hAPP(X14,c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X18)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X14,X16),hAPP(X14,X15),X17),X17)
| ~ c_Orderings_Oorder__class_Omono(X14,X18,X17) ),
inference(variable_rename,[status(thm)],[c_0_524]) ).
fof(c_0_969,plain,
! [X18,X19,X20,X21] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X20,c_Lattices_Oupper__semilattice__class_Osup(X19,X18,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_525]) ).
fof(c_0_970,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X20,c_Lattices_Oupper__semilattice__class_Osup(X19,X18,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_526]) ).
fof(c_0_971,plain,
! [X14,X15,X16] :
( X15 = c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16)
| X15 = c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool))
| ~ c_lessequals(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_527]) ).
fof(c_0_972,plain,
! [X14,X15,X16,X17] :
( hBOOL(hAPP(X15,X14))
| hBOOL(hAPP(X16,X14))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X17,tc_bool)),X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_528])])]) ).
fof(c_0_973,plain,
! [X18,X19,X20,X21] :
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X20,c_Lattices_Oupper__semilattice__class_Osup(X19,X18,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,X20,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_529]) ).
fof(c_0_974,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Olinorder(X29)
| c_lessequals(X26,X28,X29)
| c_lessequals(X27,X28,X29)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X29),c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_530]) ).
fof(c_0_975,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Olinorder(X29)
| c_lessequals(X27,X25,X29)
| c_lessequals(X27,X28,X29)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X28,X27,X29),c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_531]) ).
fof(c_0_976,plain,
! [X14,X15,X16,X17] :
( hBOOL(hAPP(X15,X14))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X17,tc_bool)),X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_532])])]) ).
fof(c_0_977,plain,
! [X14,X15,X16,X17] :
( hBOOL(hAPP(X16,X14))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X17,tc_bool)),X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_533])])]) ).
fof(c_0_978,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Olinorder(X31)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X31),c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)),X31),tc_fun(X31,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X30,X29,X31)
| ~ c_lessequals(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_534]) ).
fof(c_0_979,plain,
! [X37,X38,X39,X40] :
( c_Finite__Set_Ofinite(c_Set_Oimage(X37,X38,X40,X39),X39)
| ~ c_Finite__Set_Ofinite(X38,X40) ),
inference(variable_rename,[status(thm)],[c_0_535]) ).
fof(c_0_980,plain,
! [X34,X35,X36,X37] :
( ~ class_Orderings_Olinorder(X37)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X36,X35,X37),c_SetInterval_Oord__class_OatLeastLessThan(X35,X34,X37),tc_fun(X37,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X36,X34,X37)
| ~ c_lessequals(X35,X34,X37)
| ~ c_lessequals(X36,X35,X37) ),
inference(variable_rename,[status(thm)],[c_0_536]) ).
fof(c_0_981,plain,
! [X34,X35,X36,X37] :
( ~ class_Orderings_Olinorder(X37)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X36,X35,X37),c_SetInterval_Oord__class_OatLeastAtMost(X35,X34,X37),tc_fun(X37,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X36,X34,X37)
| ~ c_lessequals(X35,X34,X37)
| ~ c_lessequals(X36,X35,X37) ),
inference(variable_rename,[status(thm)],[c_0_537]) ).
fof(c_0_982,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(X26,X25,X29)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_538]) ).
fof(c_0_983,plain,
! [X15,X16,X17,X18,X19] :
( hAPP(X17,X16) != hAPP(X17,X15)
| ~ c_Fun_Oinj__on(X17,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X18)
| X16 = X15 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_539])])]) ).
fof(c_0_984,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| c_in(X14,X16,X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_540]) ).
fof(c_0_985,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| c_in(X14,X16,X17)
| c_in(X14,X15,X17)
| ~ c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_541]) ).
fof(c_0_986,plain,
! [X25,X26,X27,X28] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X25,X27,X28),X26,tc_fun(X28,tc_bool)) = c_Set_Oinsert(X25,c_Lattices_Olower__semilattice__class_Oinf(X27,X26,tc_fun(X28,tc_bool)),X28)
| ~ c_in(X25,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_542]) ).
fof(c_0_987,plain,
! [X25,X26,X27,X28] :
( c_Lattices_Olower__semilattice__class_Oinf(X27,c_Set_Oinsert(X25,X26,X28),tc_fun(X28,tc_bool)) = c_Set_Oinsert(X25,c_Lattices_Olower__semilattice__class_Oinf(X27,X26,tc_fun(X28,tc_bool)),X28)
| ~ c_in(X25,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_543]) ).
fof(c_0_988,plain,
! [X18,X19,X20,X21] :
( c_HOL_Ominus__class_Ominus(X19,c_HOL_Ominus__class_Ominus(X18,X20,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool)) = X20
| ~ c_lessequals(X19,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X20,X19,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_544]) ).
fof(c_0_989,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X18,c_Lattices_Olower__semilattice__class_Oinf(X20,X19,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,X19,tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,X20,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_545]) ).
fof(c_0_990,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X18,c_Lattices_Olower__semilattice__class_Oinf(X20,X19,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,X19,tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,X20,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_546]) ).
fof(c_0_991,plain,
! [X18,X19,X20,X21] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X19,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X20,X18,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_547]) ).
fof(c_0_992,plain,
! [X18,X19,X20,X21] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X19,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X20,X18,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_548]) ).
fof(c_0_993,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool))
| ~ c_lessequals(X27,X25,X29)
| ~ c_lessequals(X26,X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_549]) ).
fof(c_0_994,plain,
! [X20,X21,X22] :
( c_lessequals(X21,X20,tc_fun(X22,tc_bool))
| ~ hBOOL(hAPP(X20,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X21,X20,X22))) ),
inference(variable_rename,[status(thm)],[c_0_550]) ).
fof(c_0_995,plain,
! [X14,X15,X16,X17] :
( c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) != c_Set_Oimage(X14,X15,X16,X17)
| X15 = c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_551])])]) ).
fof(c_0_996,plain,
! [X14,X15,X16,X17] :
( c_Set_Oimage(X14,X15,X16,X17) != c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
| X15 = c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_552])])]) ).
fof(c_0_997,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,X15,tc_fun(X17,tc_bool))
| ~ c_in(X14,X15,X17)
| ~ c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_553]) ).
fof(c_0_998,plain,
! [X14,X15,X16] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X14,X15,X16),c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),tc_fun(X16,tc_bool)) = X15
| c_in(X14,X15,X16) ),
inference(variable_rename,[status(thm)],[c_0_554]) ).
fof(c_0_999,plain,
! [X14,X15,X16,X17] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X14,X16,X17),X15,tc_fun(X17,tc_bool)) = c_Set_Oinsert(X14,c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X17,tc_bool)),X17)
| c_in(X14,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_555]) ).
fof(c_0_1000,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool))
| ~ c_lessequals(X26,X25,X29)
| c_lessequals(X28,X27,X29) ),
inference(variable_rename,[status(thm)],[c_0_556]) ).
fof(c_0_1001,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X19,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_557]) ).
fof(c_0_1002,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X20,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X20,X19,tc_fun(X21,tc_bool)),X18,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_558]) ).
fof(c_0_1003,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X18,X19,tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,c_Lattices_Olower__semilattice__class_Oinf(X20,X19,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_559]) ).
fof(c_0_1004,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X18,X20,tc_fun(X21,tc_bool))
| ~ c_lessequals(X18,c_Lattices_Olower__semilattice__class_Oinf(X20,X19,tc_fun(X21,tc_bool)),tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_560]) ).
fof(c_0_1005,plain,
! [X35,X36,X37,X38] :
( ~ class_Orderings_Olinorder(X38)
| c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X37,X36,X38),c_SetInterval_Oord__class_OatLeastLessThan(X37,X35,X38),tc_fun(X38,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X35,X36,X38)
| ~ c_lessequals(X37,X35,X38) ),
inference(variable_rename,[status(thm)],[c_0_561]) ).
fof(c_0_1006,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Odistrib__lattice(X20)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X19,X20) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X18,X19,X20),c_Lattices_Olower__semilattice__class_Oinf(X17,X19,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_562]) ).
fof(c_0_1007,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Odistrib__lattice(X20)
| c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X20) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20),c_Lattices_Olower__semilattice__class_Oinf(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_563]) ).
fof(c_0_1008,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Odistrib__lattice(X20)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X19,X20) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X18,X19,X20),c_Lattices_Oupper__semilattice__class_Osup(X17,X19,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_564]) ).
fof(c_0_1009,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Odistrib__lattice(X20)
| c_Lattices_Oupper__semilattice__class_Osup(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),c_Lattices_Oupper__semilattice__class_Osup(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_565]) ).
fof(c_0_1010,plain,
! [X23,X24,X25,X26] :
( c_in(X23,X24,X26)
| c_in(X23,X25,X26)
| ~ c_in(X23,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,tc_fun(X26,tc_bool)),X26) ),
inference(variable_rename,[status(thm)],[c_0_566]) ).
fof(c_0_1011,plain,
! [X14,X15,X16,X17] :
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X17,tc_bool)),X14))
| ~ hBOOL(hAPP(X15,X14))
| ~ hBOOL(hAPP(X16,X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_567])])]) ).
fof(c_0_1012,plain,
! [X32,X33] :
( ~ class_Orderings_Oorder(X33)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X32,c_Orderings_Obot__class_Obot(tc_fun(X33,tc_bool)),X33),c_SetInterval_Oord__class_OlessThan(X32,X33),tc_fun(X33,tc_bool)) = c_Set_Oinsert(X32,c_Orderings_Obot__class_Obot(tc_fun(X33,tc_bool)),X33) ),
inference(variable_rename,[status(thm)],[c_0_568]) ).
fof(c_0_1013,plain,
! [X14,X15,X16] :
( c_lessequals(X14,X15,tc_fun(X16,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X15,tc_fun(X16,tc_bool)),c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_569]) ).
fof(c_0_1014,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| c_in(X14,X16,X17)
| ~ c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_570]) ).
fof(c_0_1015,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| c_in(X14,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_571]) ).
fof(c_0_1016,plain,
! [X25,X26,X27] :
( X25 = X26
| ~ c_in(X25,c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)),X27),X27) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_572])])]) ).
fof(c_0_1017,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| c_in(X14,X16,X17)
| c_in(X14,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_573]) ).
fof(c_0_1018,plain,
! [X15,X16,X17,X18] :
( hBOOL(hAPP(X17,X16))
| X15 = X16
| ~ hBOOL(hAPP(c_Set_Oinsert(X15,X17,X18),X16)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_574])])]) ).
fof(c_0_1019,plain,
! [X26,X27,X28,X29] :
( c_lessequals(c_Set_Oinsert(X26,X28,X29),c_Set_Oinsert(X26,X27,X29),tc_fun(X29,tc_bool))
| ~ c_lessequals(X28,X27,tc_fun(X29,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_575]) ).
fof(c_0_1020,plain,
! [X23,X24,X25,X26] :
( ~ c_in(X23,X24,X26)
| ~ c_in(X23,c_HOL_Ominus__class_Ominus(X25,X24,tc_fun(X26,tc_bool)),X26) ),
inference(variable_rename,[status(thm)],[c_0_576]) ).
fof(c_0_1021,plain,
! [X14,X15,X16,X17] :
( c_HOL_Oord__class_Oless(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_in(X14,X15,X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_577]) ).
fof(c_0_1022,plain,
! [X14,X15,X16,X17] :
( c_lessequals(c_Set_Oinsert(X14,X16,X17),X15,tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_in(X14,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_578]) ).
fof(c_0_1023,plain,
! [X14,X15,X16,X17] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X17,tc_bool)),X14))
| ~ hBOOL(hAPP(X15,X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_579])])]) ).
fof(c_0_1024,plain,
! [X14,X15,X16,X17] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X17,tc_bool)),X14))
| ~ hBOOL(hAPP(X16,X14)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_580])])]) ).
fof(c_0_1025,plain,
! [X23,X24,X25,X26] :
( c_in(X23,X24,X26)
| ~ c_in(X23,c_Lattices_Olower__semilattice__class_Oinf(X25,X24,tc_fun(X26,tc_bool)),X26) ),
inference(variable_rename,[status(thm)],[c_0_581]) ).
fof(c_0_1026,plain,
! [X23,X24,X25,X26] :
( c_in(X23,X25,X26)
| ~ c_in(X23,c_Lattices_Olower__semilattice__class_Oinf(X25,X24,tc_fun(X26,tc_bool)),X26) ),
inference(variable_rename,[status(thm)],[c_0_582]) ).
fof(c_0_1027,plain,
! [X23,X24,X25,X26] :
( c_in(X23,X25,X26)
| ~ c_in(X23,c_HOL_Ominus__class_Ominus(X25,X24,tc_fun(X26,tc_bool)),X26) ),
inference(variable_rename,[status(thm)],[c_0_583]) ).
fof(c_0_1028,plain,
! [X23,X24,X25,X26] :
( c_in(X23,c_Lattices_Olower__semilattice__class_Oinf(X25,X24,tc_fun(X26,tc_bool)),X26)
| ~ c_in(X23,X24,X26)
| ~ c_in(X23,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_584]) ).
fof(c_0_1029,plain,
! [X23,X24,X25,X26] :
( c_in(X23,c_Lattices_Olower__semilattice__class_Oinf(X25,X24,tc_fun(X26,tc_bool)),X26)
| ~ c_in(X23,X24,X26)
| ~ c_in(X23,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_585]) ).
fof(c_0_1030,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X14,X16,X17),X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_586]) ).
fof(c_0_1031,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| c_in(X14,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_587]) ).
fof(c_0_1032,plain,
! [X14,X15,X16,X17] :
( c_lessequals(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| c_in(X14,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_588]) ).
fof(c_0_1033,plain,
! [X25,X26,X27,X28,X29] :
( ~ class_Orderings_Oorder(X29)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X28,X27,X29),c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X29),tc_fun(X29,tc_bool))
| c_lessequals(X28,X27,X29) ),
inference(variable_rename,[status(thm)],[c_0_589]) ).
fof(c_0_1034,plain,
! [X14,X15,X16] :
( c_Lattices_Oupper__semilattice__class_Osup(X15,c_HOL_Ominus__class_Ominus(X14,X15,tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool)) = X14
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_590]) ).
fof(c_0_1035,plain,
! [X23,X24,X25,X26] :
( c_in(X23,c_HOL_Ominus__class_Ominus(X25,X24,tc_fun(X26,tc_bool)),X26)
| c_in(X23,X24,X26)
| ~ c_in(X23,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_591]) ).
fof(c_0_1036,plain,
! [X23,X24,X25,X26] :
( c_in(X23,c_HOL_Ominus__class_Ominus(X25,X24,tc_fun(X26,tc_bool)),X26)
| c_in(X23,X24,X26)
| ~ c_in(X23,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_592]) ).
fof(c_0_1037,plain,
! [X14,X15,X16,X17] :
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X14,X16,X17),X15,tc_fun(X17,tc_bool)) = c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X17,tc_bool))
| ~ c_in(X14,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_593]) ).
fof(c_0_1038,plain,
! [X14,X15,X16,X17] :
( c_in(X14,X15,X17)
| ~ c_lessequals(c_Set_Oinsert(X14,X16,X17),X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_594]) ).
fof(c_0_1039,plain,
! [X14,X15,X16] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X15,tc_fun(X16,tc_bool)),c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool))
| ~ c_lessequals(X14,X15,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_595]) ).
fof(c_0_1040,plain,
! [X14,X15,X16] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X16,tc_bool)),c_HOL_Ouminus__class_Ouminus(X15,tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool))
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_596]) ).
fof(c_0_1041,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_lessequals(X25,c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X28)
| ~ c_lessequals(X25,X26,X28)
| ~ c_lessequals(X25,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_597]) ).
fof(c_0_1042,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olower__semilattice(X20)
| c_lessequals(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20)
| ~ c_lessequals(X19,X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_598]) ).
fof(c_0_1043,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olower__semilattice(X20)
| c_lessequals(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20)
| ~ c_lessequals(X19,X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_599]) ).
fof(c_0_1044,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X25,X28)
| ~ c_lessequals(X26,X25,X28)
| ~ c_lessequals(X27,X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_600]) ).
fof(c_0_1045,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Oupper__semilattice(X20)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X19,X20)
| ~ c_lessequals(X17,X19,X20)
| ~ c_lessequals(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_601]) ).
fof(c_0_1046,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Oupper__semilattice(X20)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),X17,X20)
| ~ c_lessequals(X18,X17,X20)
| ~ c_lessequals(X19,X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_602]) ).
fof(c_0_1047,plain,
! [X14,X15,X16] :
( c_Lattices_Olower__semilattice__class_Oinf(X15,X14,tc_fun(X16,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool))
| ~ c_lessequals(X15,c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_603]) ).
fof(c_0_1048,plain,
! [X14,X15,X16,X17] :
( ~ c_in(X14,X15,X17)
| ~ c_in(X14,X16,X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X17,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_604]) ).
fof(c_0_1049,plain,
! [X25,X26,X27] :
( c_Set_Oinsert(X26,c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)),X27) != c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)),X27)
| X26 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_605])])]) ).
fof(c_0_1050,plain,
! [X29,X30] :
( ~ class_Orderings_Olinorder(X30)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X29,c_Orderings_Obot__class_Obot(tc_fun(X30,tc_bool)),X30),c_SetInterval_Oord__class_OgreaterThan(X29,X30),tc_fun(X30,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X29,X30) ),
inference(variable_rename,[status(thm)],[c_0_606]) ).
fof(c_0_1051,plain,
! [X28,X29] :
( ~ class_Orderings_Olinorder(X29)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X28,X29),c_Set_Oinsert(X28,c_Orderings_Obot__class_Obot(tc_fun(X29,tc_bool)),X29),tc_fun(X29,tc_bool)) = c_SetInterval_Oord__class_OatMost(X28,X29) ),
inference(variable_rename,[status(thm)],[c_0_607]) ).
fof(c_0_1052,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Oupper__semilattice(X20)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),X17,X20) = c_Lattices_Oupper__semilattice__class_Osup(X19,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_608]) ).
fof(c_0_1053,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Oupper__semilattice(X20)
| c_Lattices_Oupper__semilattice__class_Osup(X19,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X20) = c_Lattices_Oupper__semilattice__class_Osup(X18,c_Lattices_Oupper__semilattice__class_Osup(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_609]) ).
fof(c_0_1054,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olattice(X20)
| c_Lattices_Oupper__semilattice__class_Osup(X19,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X20) = c_Lattices_Oupper__semilattice__class_Osup(X18,c_Lattices_Oupper__semilattice__class_Osup(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_610]) ).
fof(c_0_1055,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olattice(X20)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),X17,X20) = c_Lattices_Oupper__semilattice__class_Osup(X19,c_Lattices_Oupper__semilattice__class_Osup(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_611]) ).
fof(c_0_1056,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olattice(X20)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20),X17,X20) = c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_612]) ).
fof(c_0_1057,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olattice(X20)
| c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) = c_Lattices_Olower__semilattice__class_Oinf(X18,c_Lattices_Olower__semilattice__class_Oinf(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_613]) ).
fof(c_0_1058,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olower__semilattice(X20)
| c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) = c_Lattices_Olower__semilattice__class_Oinf(X18,c_Lattices_Olower__semilattice__class_Oinf(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_1059,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olower__semilattice(X20)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20),X17,X20) = c_Lattices_Olower__semilattice__class_Oinf(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_615]) ).
fof(c_0_1060,plain,
! [X34,X35,X36,X37] :
( ~ class_Orderings_Oorder(X37)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X36,X35,X37),c_SetInterval_Oord__class_OatLeastLessThan(X35,X34,X37),tc_fun(X37,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X37,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_616]) ).
fof(c_0_1061,plain,
! [X34,X35,X36,X37] :
( ~ class_Orderings_Oorder(X37)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X36,X35,X37),c_SetInterval_Oord__class_OatLeastAtMost(X35,X34,X37),tc_fun(X37,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X37,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_617]) ).
fof(c_0_1062,plain,
! [X18,X19,X20,X21] :
( c_HOL_Oord__class_Oless(X20,X18,tc_fun(X21,tc_bool))
| ~ c_HOL_Oord__class_Oless(X19,X18,tc_fun(X21,tc_bool))
| ~ c_HOL_Oord__class_Oless(X20,X19,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_618]) ).
fof(c_0_1063,plain,
! [X18,X19,X20,X21] :
( c_HOL_Oord__class_Oless(X20,X18,tc_fun(X21,tc_bool))
| ~ c_HOL_Oord__class_Oless(X19,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X20,X19,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_619]) ).
fof(c_0_1064,plain,
! [X18,X19,X20,X21] :
( c_HOL_Oord__class_Oless(X20,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X19,X18,tc_fun(X21,tc_bool))
| ~ c_HOL_Oord__class_Oless(X20,X19,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_620]) ).
fof(c_0_1065,plain,
! [X18,X19,X20,X21] :
( c_lessequals(X20,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X19,X18,tc_fun(X21,tc_bool))
| ~ c_lessequals(X20,X19,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_621]) ).
fof(c_0_1066,plain,
! [X20,X21,X22] :
( c_lessequals(X21,X20,tc_fun(X22,tc_bool))
| hBOOL(hAPP(X21,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X21,X20,X22))) ),
inference(variable_rename,[status(thm)],[c_0_622]) ).
fof(c_0_1067,plain,
! [X31,X32,X33,X34,X35] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X35)
| c_HOL_Ominus__class_Ominus(X34,X32,X35) != c_HOL_Ominus__class_Ominus(X33,X31,X35)
| c_lessequals(X32,X34,X35)
| ~ c_lessequals(X31,X33,X35) ),
inference(variable_rename,[status(thm)],[c_0_623]) ).
fof(c_0_1068,plain,
! [X31,X32,X33,X34,X35] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X35)
| c_HOL_Ominus__class_Ominus(X34,X32,X35) != c_HOL_Ominus__class_Ominus(X33,X31,X35)
| c_lessequals(X31,X33,X35)
| ~ c_lessequals(X32,X34,X35) ),
inference(variable_rename,[status(thm)],[c_0_624]) ).
fof(c_0_1069,plain,
! [X31,X32,X33,X34,X35] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X35)
| c_HOL_Ominus__class_Ominus(X34,X32,X35) != c_HOL_Ominus__class_Ominus(X33,X31,X35)
| c_HOL_Oord__class_Oless(X33,X31,X35)
| ~ c_HOL_Oord__class_Oless(X34,X32,X35) ),
inference(variable_rename,[status(thm)],[c_0_625]) ).
fof(c_0_1070,plain,
! [X31,X32,X33,X34,X35] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X35)
| c_HOL_Ominus__class_Ominus(X34,X32,X35) != c_HOL_Ominus__class_Ominus(X33,X31,X35)
| c_HOL_Oord__class_Oless(X34,X32,X35)
| ~ c_HOL_Oord__class_Oless(X33,X31,X35) ),
inference(variable_rename,[status(thm)],[c_0_626]) ).
fof(c_0_1071,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Olinorder(X31)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X30,X29,X31),c_SetInterval_Oord__class_OgreaterThan(X29,X31),tc_fun(X31,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X30,X31)
| ~ c_lessequals(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_627]) ).
fof(c_0_1072,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Olinorder(X31)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X30,X31),c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X31),tc_fun(X31,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X29,X31)
| ~ c_lessequals(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_628]) ).
fof(c_0_1073,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Olinorder(X31)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X30,X31),c_SetInterval_Oord__class_OatLeastAtMost(X30,X29,X31),tc_fun(X31,tc_bool)) = c_SetInterval_Oord__class_OatMost(X29,X31)
| ~ c_lessequals(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_629]) ).
fof(c_0_1074,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Olinorder(X31)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X31),c_SetInterval_Oord__class_OatLeast(X29,X31),tc_fun(X31,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X30,X31)
| ~ c_lessequals(X30,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_630]) ).
fof(c_0_1075,plain,
! [X25,X26,X27,X28] :
( c_Lattices_Olower__semilattice__class_Oinf(X27,c_Set_Oinsert(X25,X26,X28),tc_fun(X28,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X27,X26,tc_fun(X28,tc_bool))
| c_in(X25,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_631]) ).
fof(c_0_1076,plain,
! [X25,X26,X27,X28] :
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X25,X27,X28),X26,tc_fun(X28,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X27,X26,tc_fun(X28,tc_bool))
| c_in(X25,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_632]) ).
fof(c_0_1077,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X27,X25,X28)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_633]) ).
fof(c_0_1078,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X26,X25,X28)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_634]) ).
fof(c_0_1079,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Oupper__semilattice(X20)
| c_lessequals(X19,X17,X20)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_635]) ).
fof(c_0_1080,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Oupper__semilattice(X20)
| c_lessequals(X18,X17,X20)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_636]) ).
fof(c_0_1081,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_lessequals(X25,X27,X28)
| ~ c_lessequals(X25,c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_637]) ).
fof(c_0_1082,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_lessequals(X25,X26,X28)
| ~ c_lessequals(X25,c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_638]) ).
fof(c_0_1083,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olower__semilattice(X20)
| c_lessequals(X19,X18,X20)
| ~ c_lessequals(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_639]) ).
fof(c_0_1084,plain,
! [X17,X18,X19,X20] :
( ~ class_Lattices_Olower__semilattice(X20)
| c_lessequals(X19,X17,X20)
| ~ c_lessequals(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_640]) ).
fof(c_0_1085,plain,
! [X14,X15,X16] :
( c_Lattices_Olower__semilattice__class_Oinf(X15,X14,tc_fun(X16,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool))
| c_lessequals(X15,c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X16,tc_bool)),tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_641]) ).
fof(c_0_1086,plain,
! [X25,X26,X27,X28] :
( c_in(X26,X27,X28)
| X26 = X25
| ~ c_in(X26,c_Set_Oinsert(X25,X27,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_642]) ).
fof(c_0_1087,plain,
! [X24,X25,X26,X27] :
( c_lessequals(X26,c_Set_Oinsert(X24,X25,X27),tc_fun(X27,tc_bool))
| ~ c_lessequals(X26,X25,tc_fun(X27,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_643]) ).
fof(c_0_1088,plain,
! [X14,X15,X16] :
( c_Finite__Set_Ofinite(X15,X16)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X16,tc_bool)),X16)
| ~ c_Finite__Set_Ofinite(X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_644]) ).
fof(c_0_1089,plain,
! [X10,X11,X12,X13] :
( ~ class_HOL_Oord(X12)
| c_HOL_Oord__class_Oless(X11,X10,tc_fun(X13,X12))
| c_lessequals(X10,X11,tc_fun(X13,X12))
| ~ c_lessequals(X11,X10,tc_fun(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_645])])]) ).
fof(c_0_1090,plain,
! [X23,X24,X25,X26] :
( c_in(X23,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,tc_fun(X26,tc_bool)),X26)
| ~ c_in(X23,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_646]) ).
fof(c_0_1091,plain,
! [X23,X24,X25,X26] :
( c_in(X23,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,tc_fun(X26,tc_bool)),X26)
| ~ c_in(X23,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_647]) ).
fof(c_0_1092,plain,
! [X15,X16,X17,X18,X19] :
( ~ class_Orderings_Oorder(X19)
| ~ class_Orderings_Oorder(X18)
| c_lessequals(hAPP(X17,X16),hAPP(X17,X15),X18)
| ~ c_lessequals(X16,X15,X19)
| ~ c_Orderings_Oorder__class_Omono(X17,X19,X18) ),
inference(variable_rename,[status(thm)],[c_0_648]) ).
fof(c_0_1093,plain,
! [X15,X16,X17,X18] :
( hBOOL(hAPP(c_Set_Oinsert(X15,X17,X18),X16))
| ~ hBOOL(hAPP(X17,X16)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_649])])]) ).
fof(c_0_1094,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X27)
| c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X26,X27),c_HOL_Ouminus__class_Ouminus(X25,X27),X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_650]) ).
fof(c_0_1095,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X27)
| c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X26,X27),c_HOL_Ouminus__class_Ouminus(X25,X27),X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_651]) ).
fof(c_0_1096,plain,
! [X23,X24,X25] :
( ~ c_in(X23,X24,X25)
| ~ c_in(X23,c_HOL_Ouminus__class_Ouminus(X24,tc_fun(X25,tc_bool)),X25) ),
inference(variable_rename,[status(thm)],[c_0_652]) ).
fof(c_0_1097,plain,
! [X14,X15,X16,X17] :
( c_Set_Oinsert(X14,X16,X17) != c_Set_Oinsert(X14,X15,X17)
| c_in(X14,X15,X17)
| c_in(X14,X16,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_653]) ).
fof(c_0_1098,plain,
! [X21,X22,X23,X24] :
( c_Hoare__Mirabelle_Ohoare__derivs(X23,X22,X24)
| ~ c_lessequals(X22,X21,tc_fun(tc_Hoare__Mirabelle_Otriple(X24),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X23,X21,X24) ),
inference(variable_rename,[status(thm)],[c_0_654]) ).
fof(c_0_1099,plain,
! [X37,X38,X39] :
( c_Finite__Set_Ofinite(X38,X39)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39) ),
inference(variable_rename,[status(thm)],[c_0_655]) ).
fof(c_0_1100,plain,
! [X37,X38,X39] :
( c_Finite__Set_Ofinite(X37,X39)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39) ),
inference(variable_rename,[status(thm)],[c_0_656]) ).
fof(c_0_1101,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_lessequals(X15,X16,X17)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X16,X17),c_SetInterval_Oord__class_OatLeast(X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_657]) ).
fof(c_0_1102,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_lessequals(X16,X15,X17)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X16,X17),c_SetInterval_Oord__class_OatMost(X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_658]) ).
fof(c_0_1103,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_lessequals(X15,X16,X17)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X16,X17),c_SetInterval_Oord__class_OgreaterThan(X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_659]) ).
fof(c_0_1104,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_lessequals(X16,X15,X17)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X16,X17),c_SetInterval_Oord__class_OlessThan(X15,X17),tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_660]) ).
fof(c_0_1105,plain,
! [X23,X24,X25,X26] :
( c_in(X23,X24,X26)
| ~ c_in(X23,X25,X26)
| ~ c_HOL_Oord__class_Oless(X25,X24,tc_fun(X26,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_661]) ).
fof(c_0_1106,plain,
! [X27,X28,X29,X30] :
( c_in(X27,X28,X30)
| ~ c_in(X27,X29,X30)
| ~ c_lessequals(X29,X28,tc_fun(X30,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_662]) ).
fof(c_0_1107,plain,
! [X14,X15,X16,X17] :
( c_in(X14,X15,X17)
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool))
| ~ c_in(X14,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_663]) ).
fof(c_0_1108,plain,
! [X23,X24,X25,X26] :
( c_in(X23,X24,X26)
| ~ c_in(X23,X25,X26)
| ~ c_lessequals(X25,X24,tc_fun(X26,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_664]) ).
fof(c_0_1109,plain,
! [X14,X15,X16,X17] :
( c_in(X14,X15,X17)
| ~ c_in(X14,X16,X17)
| ~ c_lessequals(X16,X15,tc_fun(X17,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_665]) ).
fof(c_0_1110,plain,
! [X14,X15] :
( X14 = c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))
| ~ c_lessequals(X14,c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X15,tc_bool)),tc_fun(X15,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_666]) ).
fof(c_0_1111,plain,
! [X10,X11,X12,X13] :
( ~ class_HOL_Oord(X12)
| ~ c_lessequals(X10,X11,tc_fun(X13,X12))
| ~ c_HOL_Oord__class_Oless(X11,X10,tc_fun(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_667])])]) ).
fof(c_0_1112,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_HOL_Oord__class_Oless(X25,c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X28)
| ~ c_HOL_Oord__class_Oless(X25,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_668]) ).
fof(c_0_1113,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_HOL_Oord__class_Oless(X25,c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X28)
| ~ c_HOL_Oord__class_Oless(X25,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_669]) ).
fof(c_0_1114,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X25,c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X28)
| ~ c_lessequals(X25,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_670]) ).
fof(c_0_1115,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X25,c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X28)
| ~ c_lessequals(X25,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_671]) ).
fof(c_0_1116,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X25,X28)
| ~ c_HOL_Oord__class_Oless(X26,X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_672]) ).
fof(c_0_1117,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X25,X28)
| ~ c_HOL_Oord__class_Oless(X27,X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_673]) ).
fof(c_0_1118,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X25,X28)
| ~ c_lessequals(X27,X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_674]) ).
fof(c_0_1119,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Olower__semilattice(X28)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X27,X26,X28),X25,X28)
| ~ c_lessequals(X26,X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_675]) ).
fof(c_0_1120,plain,
! [X25,X26,X27,X28] :
( c_in(X26,c_Set_Oinsert(X25,X27,X28),X28)
| ~ c_in(X26,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_676]) ).
fof(c_0_1121,plain,
! [X25,X26,X27,X28] :
( c_in(X26,c_Set_Oinsert(X25,X27,X28),X28)
| ~ c_in(X26,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_677]) ).
fof(c_0_1122,plain,
! [X14,X15,X16] :
( X15 = X14
| ~ c_lessequals(X14,X15,tc_fun(X16,tc_bool))
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_678])])]) ).
fof(c_0_1123,plain,
! [X14,X15,X16] :
( X15 = X14
| ~ c_lessequals(X14,X15,tc_fun(X16,tc_bool))
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_679])])]) ).
fof(c_0_1124,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Oorder(X31)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X31),c_SetInterval_Oord__class_OatLeast(X29,X31),tc_fun(X31,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_680]) ).
fof(c_0_1125,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Oorder(X31)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X30,X29,X31),c_SetInterval_Oord__class_OgreaterThan(X29,X31),tc_fun(X31,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_681]) ).
fof(c_0_1126,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Oorder(X31)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X30,X31),c_SetInterval_Oord__class_OatLeastAtMost(X30,X29,X31),tc_fun(X31,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_682]) ).
fof(c_0_1127,plain,
! [X29,X30,X31] :
( ~ class_Orderings_Oorder(X31)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X30,X31),c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X31),tc_fun(X31,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_683]) ).
fof(c_0_1128,plain,
! [X33,X34] :
( ~ class_Orderings_Oorder(X34)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X33,X34),c_SetInterval_Oord__class_OatLeast(X33,X34),tc_fun(X34,tc_bool)) = c_Set_Oinsert(X33,c_Orderings_Obot__class_Obot(tc_fun(X34,tc_bool)),X34) ),
inference(variable_rename,[status(thm)],[c_0_684]) ).
fof(c_0_1129,plain,
! [X14,X15,X16] :
( c_Lattices_Olower__semilattice__class_Oinf(X15,X14,tc_fun(X16,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool))
| c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X16,tc_bool)) = X15 ),
inference(variable_rename,[status(thm)],[c_0_685]) ).
fof(c_0_1130,plain,
! [X10,X11,X12,X13,X14] :
( ~ class_HOL_Oord(X13)
| c_lessequals(hAPP(X12,X10),hAPP(X11,X10),X13)
| ~ c_lessequals(X12,X11,tc_fun(X14,X13)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_686])])]) ).
fof(c_0_1131,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Opreorder(X20)
| c_HOL_Oord__class_Oless(X19,X17,X20)
| ~ c_HOL_Oord__class_Oless(X18,X17,X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_687]) ).
fof(c_0_1132,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Oorder(X20)
| c_HOL_Oord__class_Oless(X17,X19,X20)
| ~ c_HOL_Oord__class_Oless(X17,X18,X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_688]) ).
fof(c_0_1133,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Opreorder(X20)
| c_HOL_Oord__class_Oless(X19,X17,X20)
| ~ c_lessequals(X18,X17,X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_689]) ).
fof(c_0_1134,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Opreorder(X20)
| c_HOL_Oord__class_Oless(X19,X17,X20)
| ~ c_HOL_Oord__class_Oless(X18,X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_690]) ).
fof(c_0_1135,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Oorder(X20)
| c_HOL_Oord__class_Oless(X17,X19,X20)
| ~ c_HOL_Oord__class_Oless(X17,X18,X20)
| ~ c_lessequals(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_691]) ).
fof(c_0_1136,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Oorder(X20)
| c_HOL_Oord__class_Oless(X17,X19,X20)
| ~ c_lessequals(X17,X18,X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_692]) ).
fof(c_0_1137,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Opreorder(X20)
| c_lessequals(X19,X17,X20)
| ~ c_lessequals(X18,X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_693]) ).
fof(c_0_1138,plain,
! [X17,X18,X19,X20] :
( ~ class_Orderings_Oorder(X20)
| c_lessequals(X17,X19,X20)
| ~ c_lessequals(X17,X18,X20)
| ~ c_lessequals(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_694]) ).
fof(c_0_1139,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X17) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X16,X17),c_HOL_Ouminus__class_Ouminus(X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_695]) ).
fof(c_0_1140,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X27)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X27) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X26,X27),c_HOL_Ouminus__class_Ouminus(X25,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_696]) ).
fof(c_0_1141,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X16,X17),c_HOL_Ouminus__class_Ouminus(X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_697]) ).
fof(c_0_1142,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X27)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X27) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X26,X27),c_HOL_Ouminus__class_Ouminus(X25,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_698]) ).
fof(c_0_1143,plain,
! [X14,X15] :
( X14 = c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))
| ~ c_lessequals(X14,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),tc_fun(X15,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_699]) ).
fof(c_0_1144,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_HOL_Oord__class_Oless(X26,X25,X27)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X25,X27),c_HOL_Ouminus__class_Ouminus(X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_700]) ).
fof(c_0_1145,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X26,X25,X27)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),c_HOL_Ouminus__class_Ouminus(X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_701]) ).
fof(c_0_1146,plain,
! [X16,X17,X18,X19] :
( c_Hoare__Mirabelle_Ohoare__derivs(X18,X16,X19)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X17,X19)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X17,X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_702]) ).
fof(c_0_1147,plain,
! [X14,X15] :
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X15)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X15,tc_bool)),X15)
| ~ c_Finite__Set_Ofinite(X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_703]) ).
fof(c_0_1148,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_lessequals(c_SetInterval_Oord__class_OatLeast(X16,X17),c_SetInterval_Oord__class_OatLeast(X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_704]) ).
fof(c_0_1149,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_lessequals(c_SetInterval_Oord__class_OatMost(X16,X17),c_SetInterval_Oord__class_OatMost(X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_705]) ).
fof(c_0_1150,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X16,X17),c_SetInterval_Oord__class_OgreaterThan(X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_706]) ).
fof(c_0_1151,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_lessequals(c_SetInterval_Oord__class_OlessThan(X16,X17),c_SetInterval_Oord__class_OlessThan(X15,X17),tc_fun(X17,tc_bool))
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_707]) ).
fof(c_0_1152,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) = c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_708]) ).
fof(c_0_1153,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) = c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_709]) ).
fof(c_0_1154,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X17) = c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_710]) ).
fof(c_0_1155,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X17) = c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_711]) ).
fof(c_0_1156,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X27)
| ~ c_HOL_Oord__class_Oless(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_712]) ).
fof(c_0_1157,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X27)
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_713]) ).
fof(c_0_1158,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X27) != c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool))
| ~ c_HOL_Oord__class_Oless(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_714]) ).
fof(c_0_1159,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X27) != c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool))
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_715]) ).
fof(c_0_1160,plain,
! [X20,X21,X22] :
( ~ hBOOL(hAPP(X21,X20))
| ~ c_in(X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool)),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_716])])]) ).
fof(c_0_1161,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_HOL_Oord__class_Oless(X25,c_HOL_Ouminus__class_Ouminus(X26,X27),X27)
| ~ c_HOL_Oord__class_Oless(X26,c_HOL_Ouminus__class_Ouminus(X25,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_717]) ).
fof(c_0_1162,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_HOL_Oord__class_Oless(X26,c_HOL_Ouminus__class_Ouminus(X25,X27),X27)
| ~ c_HOL_Oord__class_Oless(X25,c_HOL_Ouminus__class_Ouminus(X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_718]) ).
fof(c_0_1163,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X25,X27),X26,X27)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X26,X27),X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_719]) ).
fof(c_0_1164,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X26,X27),X25,X27)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X25,X27),X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_720]) ).
fof(c_0_1165,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X25,c_HOL_Ouminus__class_Ouminus(X26,X27),X27)
| ~ c_lessequals(X26,c_HOL_Ouminus__class_Ouminus(X25,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_721]) ).
fof(c_0_1166,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X26,c_HOL_Ouminus__class_Ouminus(X25,X27),X27)
| ~ c_lessequals(X25,c_HOL_Ouminus__class_Ouminus(X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_722]) ).
fof(c_0_1167,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),X26,X27)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X26,X27),X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_723]) ).
fof(c_0_1168,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X26,X27),X25,X27)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_724]) ).
fof(c_0_1169,plain,
! [X10,X11,X12,X13] :
( ~ class_HOL_Oord(X12)
| c_lessequals(X11,X10,tc_fun(X13,X12))
| ~ c_HOL_Oord__class_Oless(X11,X10,tc_fun(X13,X12)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_725])])]) ).
fof(c_0_1170,plain,
! [X14,X15] :
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X15,tc_bool)),X15)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X15)
| ~ c_Finite__Set_Ofinite(X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_726]) ).
fof(c_0_1171,plain,
! [X14,X15,X16] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X16,tc_bool)),X16)
| ~ c_Finite__Set_Ofinite(X15,X16)
| ~ c_Finite__Set_Ofinite(X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_727]) ).
fof(c_0_1172,plain,
! [X37,X38,X39] :
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39)
| ~ c_Finite__Set_Ofinite(X37,X39)
| ~ c_Finite__Set_Ofinite(X38,X39) ),
inference(variable_rename,[status(thm)],[c_0_728]) ).
fof(c_0_1173,plain,
! [X37,X38,X39] :
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39)
| ~ c_Finite__Set_Ofinite(X37,X39)
| ~ c_Finite__Set_Ofinite(X38,X39) ),
inference(variable_rename,[status(thm)],[c_0_729]) ).
fof(c_0_1174,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) != c_Orderings_Otop__class_Otop(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) != c_Orderings_Obot__class_Obot(X17)
| c_HOL_Ouminus__class_Ouminus(X16,X17) = X15 ),
inference(variable_rename,[status(thm)],[c_0_730]) ).
fof(c_0_1175,plain,
! [X25,X26,X27] :
( c_Finite__Set_Ofinite(X26,X27)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X25,X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_731]) ).
fof(c_0_1176,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Opreorder(X17)
| c_HOL_Oord__class_Oless(X16,X15,X17)
| c_lessequals(X15,X16,X17)
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_732]) ).
fof(c_0_1177,plain,
! [X14,X15,X16] :
( X15 = X14
| c_HOL_Oord__class_Oless(X15,X14,tc_fun(X16,tc_bool))
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_733])])]) ).
fof(c_0_1178,plain,
! [X14,X15,X16] :
( c_HOL_Oord__class_Oless(X15,X14,tc_fun(X16,tc_bool))
| X15 = X14
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_734]) ).
fof(c_0_1179,plain,
! [X14,X15,X16] :
( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X16,tc_bool)) != X14
| c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_735]) ).
fof(c_0_1180,plain,
! [X14,X15,X16] :
( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X16,tc_bool)) = X15
| ~ c_lessequals(X14,X15,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_736]) ).
fof(c_0_1181,plain,
! [X14,X15,X16] :
( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X16,tc_bool)) = X14
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_737]) ).
fof(c_0_1182,plain,
! [X14,X15,X16] :
( c_Lattices_Olower__semilattice__class_Oinf(X15,X14,tc_fun(X16,tc_bool)) = X15
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_738]) ).
fof(c_0_1183,plain,
! [X14,X15,X16] :
( c_Lattices_Olower__semilattice__class_Oinf(X15,X14,tc_fun(X16,tc_bool)) = X14
| ~ c_lessequals(X14,X15,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_739]) ).
fof(c_0_1184,plain,
! [X20,X21,X22,X23] :
( hBOOL(hAPP(X21,X20))
| ~ c_lessequals(X22,X21,tc_fun(X23,tc_bool))
| ~ hBOOL(hAPP(X22,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_740])])]) ).
fof(c_0_1185,plain,
! [X20,X21,X22,X23] :
( hBOOL(hAPP(X21,X20))
| ~ hBOOL(hAPP(X22,X20))
| ~ c_lessequals(X22,X21,tc_fun(X23,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_741])])]) ).
fof(c_0_1186,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X25,X27),c_HOL_Ouminus__class_Ouminus(X26,X27),X27)
| ~ c_HOL_Oord__class_Oless(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_742]) ).
fof(c_0_1187,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),c_HOL_Ouminus__class_Ouminus(X26,X27),X27)
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_743]) ).
fof(c_0_1188,plain,
! [X14,X15,X16] :
( c_lessequals(X15,X14,tc_fun(X16,tc_bool))
| ~ c_HOL_Oord__class_Oless(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_744]) ).
fof(c_0_1189,plain,
! [X20,X21,X22] :
( hBOOL(hAPP(X21,X20))
| ~ c_in(X20,c_Orderings_Obot__class_Obot(tc_fun(X22,tc_bool)),X22) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_745])])]) ).
fof(c_0_1190,plain,
! [X12,X13,X14] :
( c_Hoare__Mirabelle_Ohoare__derivs(X13,X12,X14)
| ~ c_lessequals(X12,X13,tc_fun(tc_Hoare__Mirabelle_Otriple(X14),tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_746]) ).
fof(c_0_1191,plain,
! [X14,X15,X16] :
( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X16,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool))
| X14 = c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_747]) ).
fof(c_0_1192,plain,
! [X14,X15,X16] :
( c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X16,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool))
| X15 = c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_748]) ).
fof(c_0_1193,plain,
! [X14,X15,X16] :
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X15,X14,tc_fun(X16,tc_bool)),X16)
| ~ c_Finite__Set_Ofinite(X15,X16) ),
inference(variable_rename,[status(thm)],[c_0_749]) ).
fof(c_0_1194,plain,
! [X37,X38,X39] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X38,X37,tc_fun(X39,tc_bool)),X39)
| ~ c_Finite__Set_Ofinite(X37,X39) ),
inference(variable_rename,[status(thm)],[c_0_750]) ).
fof(c_0_1195,plain,
! [X37,X38,X39] :
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X38,X37,tc_fun(X39,tc_bool)),X39)
| ~ c_Finite__Set_Ofinite(X38,X39) ),
inference(variable_rename,[status(thm)],[c_0_751]) ).
fof(c_0_1196,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_HOL_Oord__class_Oless(X35,X36,X37)
| ~ c_in(X36,c_SetInterval_Oord__class_OgreaterThan(X35,X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_752]) ).
fof(c_0_1197,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_HOL_Oord__class_Oless(X36,X35,X37)
| ~ c_in(X36,c_SetInterval_Oord__class_OlessThan(X35,X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_753]) ).
fof(c_0_1198,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_lessequals(X35,X36,X37)
| ~ c_in(X36,c_SetInterval_Oord__class_OatLeast(X35,X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_754]) ).
fof(c_0_1199,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_lessequals(X36,X35,X37)
| ~ c_in(X36,c_SetInterval_Oord__class_OatMost(X35,X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_755]) ).
fof(c_0_1200,plain,
! [X39,X40,X41] :
( c_Set_Oinsert(X40,X39,X41) != c_Orderings_Obot__class_Obot(tc_fun(X41,tc_bool))
| c_in(X40,X39,X41) ),
inference(variable_rename,[status(thm)],[c_0_756]) ).
fof(c_0_1201,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Oab__group__add(X27)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X26,X25,X27),X27) = c_HOL_Ominus__class_Ominus(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_757]) ).
fof(c_0_1202,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| X16 = X15
| ~ c_lessequals(X16,X15,X17)
| ~ c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_758]) ).
fof(c_0_1203,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| X16 = X15
| ~ c_lessequals(X15,X16,X17)
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_759]) ).
fof(c_0_1204,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| X16 = X15
| ~ c_lessequals(X15,X16,X17)
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_760]) ).
fof(c_0_1205,plain,
! [X23,X24,X25] :
( c_in(X23,c_HOL_Ouminus__class_Ouminus(X24,tc_fun(X25,tc_bool)),X25)
| c_in(X23,X24,X25) ),
inference(variable_rename,[status(thm)],[c_0_761]) ).
fof(c_0_1206,plain,
! [X39,X40,X41,X42] :
( ~ class_OrderedGroup_Oab__group__add(X42)
| c_HOL_Ominus__class_Ominus(X40,X39,X42) != c_HOL_Ominus__class_Ominus(X41,X41,X42)
| X40 = X39 ),
inference(variable_rename,[status(thm)],[c_0_762]) ).
fof(c_0_1207,plain,
! [X31,X32,X33,X34] :
( ~ class_OrderedGroup_Oab__group__add(X34)
| c_HOL_Ominus__class_Ominus(X33,X33,X34) != c_HOL_Ominus__class_Ominus(X32,X31,X34)
| X32 = X31 ),
inference(variable_rename,[status(thm)],[c_0_763]) ).
fof(c_0_1208,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| ~ c_lessequals(X7,X7,X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_764]) ).
fof(c_0_1209,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,X17)
| ~ c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_765]) ).
fof(c_0_1210,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| ~ c_lessequals(X16,X15,X17)
| ~ c_HOL_Oord__class_Oless(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_766]) ).
fof(c_0_1211,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Opreorder(X17)
| ~ c_lessequals(X15,X16,X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_767]) ).
fof(c_0_1212,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| ~ c_HOL_Oord__class_Oless(X26,X25,X27)
| ~ c_HOL_Oord__class_Oless(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_768]) ).
fof(c_0_1213,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,X17)
| ~ c_HOL_Oord__class_Oless(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_769]) ).
fof(c_0_1214,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Opreorder(X17)
| ~ c_HOL_Oord__class_Oless(X15,X16,X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_770]) ).
fof(c_0_1215,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Opreorder(X27)
| ~ c_HOL_Oord__class_Oless(X25,X26,X27)
| ~ c_HOL_Oord__class_Oless(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_771]) ).
fof(c_0_1216,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool))
| ~ c_lessequals(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_772]) ).
fof(c_0_1217,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool))
| ~ c_HOL_Oord__class_Oless(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_773]) ).
fof(c_0_1218,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_in(X36,c_SetInterval_Oord__class_OgreaterThan(X35,X37),X37)
| ~ c_HOL_Oord__class_Oless(X35,X36,X37) ),
inference(variable_rename,[status(thm)],[c_0_774]) ).
fof(c_0_1219,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_in(X36,c_SetInterval_Oord__class_OlessThan(X35,X37),X37)
| ~ c_HOL_Oord__class_Oless(X36,X35,X37) ),
inference(variable_rename,[status(thm)],[c_0_775]) ).
fof(c_0_1220,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_in(X36,c_SetInterval_Oord__class_OatLeast(X35,X37),X37)
| ~ c_lessequals(X35,X36,X37) ),
inference(variable_rename,[status(thm)],[c_0_776]) ).
fof(c_0_1221,plain,
! [X35,X36,X37] :
( ~ class_HOL_Oord(X37)
| c_in(X36,c_SetInterval_Oord__class_OatMost(X35,X37),X37)
| ~ c_lessequals(X36,X35,X37) ),
inference(variable_rename,[status(thm)],[c_0_777]) ).
fof(c_0_1222,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X17) = X16 ),
inference(variable_rename,[status(thm)],[c_0_778]) ).
fof(c_0_1223,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) = X16 ),
inference(variable_rename,[status(thm)],[c_0_779]) ).
fof(c_0_1224,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_780]) ).
fof(c_0_1225,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_781]) ).
fof(c_0_1226,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_782]) ).
fof(c_0_1227,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17),X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_783]) ).
fof(c_0_1228,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_lessequals(X16,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_784]) ).
fof(c_0_1229,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_785]) ).
fof(c_0_1230,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_786]) ).
fof(c_0_1231,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_lessequals(X16,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_787]) ).
fof(c_0_1232,plain,
! [X25,X26] :
( ~ class_Orderings_Oorder(X26)
| c_SetInterval_Oord__class_OatLeastAtMost(X25,X25,X26) = c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26) ),
inference(variable_rename,[status(thm)],[c_0_788]) ).
fof(c_0_1233,plain,
! [X14,X15,X16] :
( c_Finite__Set_Ofinite(X15,X16)
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool))
| ~ c_Finite__Set_Ofinite(X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_789]) ).
fof(c_0_1234,plain,
! [X14,X15,X16] :
( c_Finite__Set_Ofinite(X15,X16)
| ~ c_Finite__Set_Ofinite(X14,X16)
| ~ c_lessequals(X15,X14,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_790]) ).
fof(c_0_1235,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| X16 = X15
| c_HOL_Oord__class_Oless(X16,X15,X17)
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_791]) ).
fof(c_0_1236,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| X16 = X15
| ~ c_lessequals(X16,X15,X17)
| c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_792]) ).
fof(c_0_1237,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_HOL_Oord__class_Oless(X26,X25,X27)
| ~ c_lessequals(X26,X25,X27)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_793]) ).
fof(c_0_1238,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_HOL_Oord__class_Oless(X26,X25,X27)
| X26 = X25
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_794]) ).
fof(c_0_1239,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_HOL_Oord__class_Oless(X16,X15,X17)
| X16 = X15
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_795]) ).
fof(c_0_1240,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| X16 = X15
| c_HOL_Oord__class_Oless(X16,X15,X17)
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_796]) ).
fof(c_0_1241,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_HOL_Oord__class_Oless(X25,X26,X27)
| ~ c_lessequals(X25,X26,X27)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_797]) ).
fof(c_0_1242,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_HOL_Oord__class_Oless(X25,X26,X27)
| X26 = X25
| ~ c_lessequals(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_798]) ).
fof(c_0_1243,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) != X15
| c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_799]) ).
fof(c_0_1244,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) != X16
| c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_800]) ).
fof(c_0_1245,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) = X15
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_801]) ).
fof(c_0_1246,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) = X16
| ~ c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_802]) ).
fof(c_0_1247,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) = X16
| ~ c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_803]) ).
fof(c_0_1248,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) = X15
| ~ c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_804]) ).
fof(c_0_1249,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Opreorder(X17)
| c_lessequals(X16,X15,X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_805]) ).
fof(c_0_1250,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_lessequals(X16,X15,X17)
| ~ c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_806]) ).
fof(c_0_1251,plain,
! [X25,X26,X27] :
( c_Finite__Set_Ofinite(c_Set_Oinsert(X25,X26,X27),X27)
| ~ c_Finite__Set_Ofinite(X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_807]) ).
fof(c_0_1252,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X27)
| c_HOL_Oord__class_Oless(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_808]) ).
fof(c_0_1253,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X27)
| c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_809]) ).
fof(c_0_1254,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_SetInterval_Oord__class_OatLeastLessThan(X26,X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool))
| c_HOL_Oord__class_Oless(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_810]) ).
fof(c_0_1255,plain,
! [X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_SetInterval_Oord__class_OatLeastAtMost(X26,X25,X27) = c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool))
| c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_811]) ).
fof(c_0_1256,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_HOL_Ominus__class_Ominus(X16,X15,X17) = c_Lattices_Olower__semilattice__class_Oinf(X16,c_HOL_Ouminus__class_Ouminus(X15,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_812]) ).
fof(c_0_1257,plain,
! [X25,X26,X27] :
( c_Set_Oinsert(X25,X26,X27) = X26
| ~ c_in(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_813]) ).
fof(c_0_1258,plain,
! [X15,X16,X17] :
( ~ class_Ring__and__Field_Oordered__idom(X17)
| c_HOL_Oord__class_Oless(X15,X16,X17)
| c_HOL_Oord__class_Oless(X16,X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_814]) ).
fof(c_0_1259,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| X16 = X15
| c_HOL_Oord__class_Oless(X15,X16,X17)
| c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_815]) ).
fof(c_0_1260,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_HOL_Oord__class_Oless(X15,X16,X17)
| c_HOL_Oord__class_Oless(X16,X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_816]) ).
fof(c_0_1261,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_HOL_Oord__class_Oless(X15,X16,X17)
| X16 = X15
| c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_817]) ).
fof(c_0_1262,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| X16 = X15
| c_HOL_Oord__class_Oless(X16,X15,X17)
| c_HOL_Oord__class_Oless(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_818]) ).
fof(c_0_1263,plain,
! [X14,X15,X16] :
( c_HOL_Ouminus__class_Ouminus(X15,tc_fun(X16,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X14,tc_fun(X16,tc_bool))
| X15 = X14 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_819])])]) ).
fof(c_0_1264,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_HOL_Oord__class_Oless(X16,X15,X17)
| c_lessequals(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_820]) ).
fof(c_0_1265,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| c_HOL_Oord__class_Oless(X7,X7,X8)
| c_lessequals(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_821]) ).
fof(c_0_1266,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_lessequals(X15,X16,X17)
| c_HOL_Oord__class_Oless(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_822]) ).
fof(c_0_1267,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_HOL_Oord__class_Oless(X15,X16,X17)
| c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_823]) ).
fof(c_0_1268,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_lessequals(X15,X16,X17)
| c_lessequals(X16,X15,X17) ),
inference(variable_rename,[status(thm)],[c_0_824]) ).
fof(c_0_1269,plain,
! [X40,X41,X42] :
( hBOOL(hAPP(X41,X40))
| ~ c_in(X40,X41,X42) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_825])])]) ).
fof(c_0_1270,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olower__semilattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) = c_Lattices_Olower__semilattice__class_Oinf(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_826]) ).
fof(c_0_1271,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_Lattices_Olower__semilattice__class_Oinf(X16,X15,X17) = c_Lattices_Olower__semilattice__class_Oinf(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_827]) ).
fof(c_0_1272,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) = c_Lattices_Oupper__semilattice__class_Osup(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_828]) ).
fof(c_0_1273,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Olattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X15,X17) = c_Lattices_Oupper__semilattice__class_Osup(X15,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_829]) ).
fof(c_0_1274,plain,
! [X14,X15,X16] :
( ~ class_Lattices_Obounded__lattice(X16)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X16) != c_Orderings_Obot__class_Obot(X16)
| X15 = c_Orderings_Obot__class_Obot(X16) ),
inference(variable_rename,[status(thm)],[c_0_830]) ).
fof(c_0_1275,plain,
! [X14,X15,X16] :
( ~ class_Lattices_Obounded__lattice(X16)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X16) != c_Orderings_Obot__class_Obot(X16)
| X14 = c_Orderings_Obot__class_Obot(X16) ),
inference(variable_rename,[status(thm)],[c_0_831]) ).
fof(c_0_1276,plain,
! [X14,X15,X16] :
( ~ class_Lattices_Obounded__lattice(X16)
| c_Lattices_Olower__semilattice__class_Oinf(X15,X14,X16) != c_Orderings_Otop__class_Otop(X16)
| X14 = c_Orderings_Otop__class_Otop(X16) ),
inference(variable_rename,[status(thm)],[c_0_832]) ).
fof(c_0_1277,plain,
! [X14,X15,X16] :
( ~ class_Lattices_Obounded__lattice(X16)
| c_Lattices_Olower__semilattice__class_Oinf(X15,X14,X16) != c_Orderings_Otop__class_Otop(X16)
| X15 = c_Orderings_Otop__class_Otop(X16) ),
inference(variable_rename,[status(thm)],[c_0_833]) ).
fof(c_0_1278,plain,
! [X40,X41,X42] :
( c_in(X40,X41,X42)
| ~ hBOOL(hAPP(X41,X40)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_834])])]) ).
fof(c_0_1279,plain,
! [X7,X8] :
( ~ class_Orderings_Oorder(X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1280,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_836]) ).
fof(c_0_1281,plain,
! [X7,X8] :
( ~ class_Orderings_Opreorder(X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_837]) ).
fof(c_0_1282,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_HOL_Ouminus__class_Ouminus(X7,X8),X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_838]) ).
fof(c_0_1283,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X7,X8),X7,X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_839]) ).
fof(c_0_1284,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X7,X8),X7,X8) = c_Orderings_Otop__class_Otop(X8) ),
inference(variable_rename,[status(thm)],[c_0_840]) ).
fof(c_0_1285,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X7,c_HOL_Ouminus__class_Ouminus(X7,X8),X8) = c_Orderings_Otop__class_Otop(X8) ),
inference(variable_rename,[status(thm)],[c_0_841]) ).
fof(c_0_1286,plain,
! [X4,X5,X6] :
( X5 = X4
| ~ c_fequal(X5,X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_842])])]) ).
fof(c_0_1287,plain,
! [X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X32,X33),tc_fun(X33,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_843]) ).
fof(c_0_1288,plain,
! [X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X32,X33),tc_fun(X33,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_844]) ).
fof(c_0_1289,plain,
! [X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X32,X33),tc_fun(X33,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_845]) ).
fof(c_0_1290,plain,
! [X32,X33] :
( ~ class_Orderings_Olinorder(X33)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X32,X33),tc_fun(X33,tc_bool)) = c_SetInterval_Oord__class_OatMost(X32,X33) ),
inference(variable_rename,[status(thm)],[c_0_846]) ).
fof(c_0_1291,plain,
! [X4] :
( ~ class_Finite__Set_Ofinite_Ofinite(X4)
| c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4) ),
inference(variable_rename,[status(thm)],[c_0_847]) ).
fof(c_0_1292,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Otop__class_Otop(X8),X8) = c_Orderings_Otop__class_Otop(X8) ),
inference(variable_rename,[status(thm)],[c_0_848]) ).
fof(c_0_1293,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X8),X7,X8) = c_Orderings_Otop__class_Otop(X8) ),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1294,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Obot__class_Obot(X8),X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_850]) ).
fof(c_0_1295,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X8),X7,X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_851]) ).
fof(c_0_1296,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Obot__class_Obot(X8),X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_852]) ).
fof(c_0_1297,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X8),X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_853]) ).
fof(c_0_1298,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Otop__class_Otop(X8),X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_854]) ).
fof(c_0_1299,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X8),X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_855]) ).
fof(c_0_1300,plain,
! [X7,X8] :
( ~ class_Orderings_Otop(X8)
| c_lessequals(X7,c_Orderings_Otop__class_Otop(X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_856]) ).
fof(c_0_1301,plain,
! [X7,X8] :
( ~ class_Orderings_Obot(X8)
| c_lessequals(c_Orderings_Obot__class_Obot(X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_857]) ).
fof(c_0_1302,plain,
! [X7,X8] :
( ~ class_Lattices_Oupper__semilattice(X8)
| c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_858]) ).
fof(c_0_1303,plain,
! [X7,X8] :
( ~ class_Lattices_Olower__semilattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_859]) ).
fof(c_0_1304,plain,
! [X7,X8] :
( ~ class_Orderings_Opreorder(X8)
| c_lessequals(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_860]) ).
fof(c_0_1305,plain,
! [X7,X8] :
( ~ class_Orderings_Oorder(X8)
| c_lessequals(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_861]) ).
fof(c_0_1306,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_SetInterval_Oord__class_OlessThan(X16,X17) != c_SetInterval_Oord__class_OlessThan(X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_862]) ).
fof(c_0_1307,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_SetInterval_Oord__class_OgreaterThan(X16,X17) != c_SetInterval_Oord__class_OgreaterThan(X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_863]) ).
fof(c_0_1308,plain,
! [X15,X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_HOL_Ouminus__class_Ouminus(X16,X17) != c_HOL_Ouminus__class_Ouminus(X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_864]) ).
fof(c_0_1309,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Ogroup__add(X27)
| c_HOL_Ouminus__class_Ouminus(X26,X27) != c_HOL_Ouminus__class_Ouminus(X25,X27)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_865]) ).
fof(c_0_1310,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_SetInterval_Oord__class_OatLeast(X16,X17) != c_SetInterval_Oord__class_OatLeast(X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_866]) ).
fof(c_0_1311,plain,
! [X15,X16,X17] :
( ~ class_Orderings_Olinorder(X17)
| c_SetInterval_Oord__class_OatMost(X16,X17) != c_SetInterval_Oord__class_OatMost(X15,X17)
| X16 = X15 ),
inference(variable_rename,[status(thm)],[c_0_867]) ).
fof(c_0_1312,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ogroup__add(X26)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X25,X26),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_868]) ).
fof(c_0_1313,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X7,X8),X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_869]) ).
fof(c_0_1314,plain,
! [X24,X25] :
( ~ class_OrderedGroup_Ogroup__add(X25)
| X24 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X25),X25) ),
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1315,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ogroup__add(X26)
| X25 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X25,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_871]) ).
fof(c_0_1316,plain,
! [X24,X25] :
( ~ class_OrderedGroup_Ogroup__add(X25)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X25),X25) = X24 ),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1317,plain,
! [X6,X7] :
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X6,X7))
| ~ class_Finite__Set_Ofinite_Ofinite(X7)
| ~ class_Finite__Set_Ofinite_Ofinite(X6) ),
inference(variable_rename,[status(thm)],[c_0_873]) ).
fof(c_0_1318,plain,
! [X6,X7] :
( class_Lattices_Oupper__semilattice(tc_fun(X6,X7))
| ~ class_Lattices_Olattice(X7) ),
inference(variable_rename,[status(thm)],[c_0_874]) ).
fof(c_0_1319,plain,
! [X6,X7] :
( class_Lattices_Olower__semilattice(tc_fun(X6,X7))
| ~ class_Lattices_Olattice(X7) ),
inference(variable_rename,[status(thm)],[c_0_875]) ).
fof(c_0_1320,plain,
! [X6,X7] :
( class_Lattices_Odistrib__lattice(tc_fun(X6,X7))
| ~ class_Lattices_Odistrib__lattice(X7) ),
inference(variable_rename,[status(thm)],[c_0_876]) ).
fof(c_0_1321,plain,
! [X6,X7] :
( class_Lattices_Obounded__lattice(tc_fun(X6,X7))
| ~ class_Lattices_Obounded__lattice(X7) ),
inference(variable_rename,[status(thm)],[c_0_877]) ).
fof(c_0_1322,plain,
! [X6,X7] :
( class_Lattices_Oboolean__algebra(tc_fun(X6,X7))
| ~ class_Lattices_Oboolean__algebra(X7) ),
inference(variable_rename,[status(thm)],[c_0_878]) ).
fof(c_0_1323,plain,
! [X6,X7] :
( class_Orderings_Opreorder(tc_fun(X6,X7))
| ~ class_Orderings_Opreorder(X7) ),
inference(variable_rename,[status(thm)],[c_0_879]) ).
fof(c_0_1324,plain,
! [X6,X7] :
( class_Lattices_Olattice(tc_fun(X6,X7))
| ~ class_Lattices_Olattice(X7) ),
inference(variable_rename,[status(thm)],[c_0_880]) ).
fof(c_0_1325,plain,
! [X6,X7] :
( class_Orderings_Oorder(tc_fun(X6,X7))
| ~ class_Orderings_Oorder(X7) ),
inference(variable_rename,[status(thm)],[c_0_881]) ).
fof(c_0_1326,plain,
! [X6,X7] :
( class_Orderings_Otop(tc_fun(X6,X7))
| ~ class_Orderings_Otop(X7) ),
inference(variable_rename,[status(thm)],[c_0_882]) ).
fof(c_0_1327,plain,
! [X6,X7] :
( class_Orderings_Obot(tc_fun(X6,X7))
| ~ class_Orderings_Obot(X7) ),
inference(variable_rename,[status(thm)],[c_0_883]) ).
fof(c_0_1328,plain,
! [X6,X7] :
( class_HOL_Oord(tc_fun(X6,X7))
| ~ class_HOL_Oord(X7) ),
inference(variable_rename,[status(thm)],[c_0_884]) ).
fof(c_0_1329,plain,
! [X4] :
( ~ class_Lattices_Oboolean__algebra(X4)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X4),X4) = c_Orderings_Obot__class_Obot(X4) ),
inference(variable_rename,[status(thm)],[c_0_885]) ).
fof(c_0_1330,plain,
! [X4] :
( ~ class_Lattices_Oboolean__algebra(X4)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X4),X4) = c_Orderings_Otop__class_Otop(X4) ),
inference(variable_rename,[status(thm)],[c_0_886]) ).
fof(c_0_1331,plain,
! [X14,X15] :
( ~ class_Finite__Set_Ofinite_Ofinite(X15)
| c_Finite__Set_Ofinite(X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_887]) ).
cnf(c_0_1332,plain,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_888]) ).
cnf(c_0_1333,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4)
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_889]) ).
cnf(c_0_1334,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4)
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_890]) ).
cnf(c_0_1335,plain,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_891]) ).
cnf(c_0_1336,plain,
( c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4)
| c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_892]) ).
cnf(c_0_1337,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_893]) ).
cnf(c_0_1338,plain,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_894]) ).
cnf(c_0_1339,plain,
( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_895]) ).
cnf(c_0_1340,plain,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_896]) ).
cnf(c_0_1341,plain,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_1342,plain,
( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_898]) ).
cnf(c_0_1343,plain,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_899]) ).
cnf(c_0_1344,plain,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_900]) ).
cnf(c_0_1345,plain,
( hBOOL(hAPP(X2,hAPP(X1,X5)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_901]) ).
cnf(c_0_1346,plain,
( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_902]) ).
cnf(c_0_1347,plain,
( c_Set_Oimage(X3,X1,X2,X2) = X1
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_903]) ).
cnf(c_0_1348,plain,
( hAPP(X2,X1) = X3
| ~ c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
inference(split_conjunct,[status(thm)],[c_0_904]) ).
cnf(c_0_1349,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_905]) ).
cnf(c_0_1350,plain,
( c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_906]) ).
cnf(c_0_1351,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_907]) ).
cnf(c_0_1352,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_908]) ).
cnf(c_0_1353,plain,
( c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_909]) ).
cnf(c_0_1354,plain,
( c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_910]) ).
cnf(c_0_1355,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_911]) ).
cnf(c_0_1356,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_912]) ).
cnf(c_0_1357,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_913]) ).
cnf(c_0_1358,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_914]) ).
cnf(c_0_1359,plain,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_915]) ).
cnf(c_0_1360,plain,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_916]) ).
cnf(c_0_1361,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_917]) ).
cnf(c_0_1362,plain,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_918]) ).
cnf(c_0_1363,plain,
( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_919]) ).
cnf(c_0_1364,plain,
( c_Fun_Oinj__on(X3,X1,X2,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_920]) ).
cnf(c_0_1365,plain,
( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
| ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_921]) ).
cnf(c_0_1366,plain,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(X4,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_922]) ).
cnf(c_0_1367,plain,
( c_in(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_923]) ).
cnf(c_0_1368,plain,
( c_in(hAPP(X1,X6),X5,X4)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_924]) ).
cnf(c_0_1369,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_925]) ).
cnf(c_0_1370,plain,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_926]) ).
cnf(c_0_1371,plain,
( c_in(hAPP(X2,X1),X3,X5)
| ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_927]) ).
cnf(c_0_1372,plain,
( c_in(hAPP(X2,X1),X3,X5)
| ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_928]) ).
cnf(c_0_1373,plain,
( c_Finite__Set_Ofinite(X3,X5)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_929]) ).
cnf(c_0_1374,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_930]) ).
cnf(c_0_1375,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_931]) ).
cnf(c_0_1376,plain,
( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_932]) ).
cnf(c_0_1377,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_933]) ).
cnf(c_0_1378,plain,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_934]) ).
cnf(c_0_1379,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_935]) ).
cnf(c_0_1380,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_936]) ).
cnf(c_0_1381,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_937]) ).
cnf(c_0_1382,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(split_conjunct,[status(thm)],[c_0_938]) ).
cnf(c_0_1383,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_939]) ).
cnf(c_0_1384,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_940]) ).
cnf(c_0_1385,plain,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_941]) ).
cnf(c_0_1386,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_942]) ).
cnf(c_0_1387,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_943]) ).
cnf(c_0_1388,plain,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_944]) ).
cnf(c_0_1389,plain,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_945]) ).
cnf(c_0_1390,plain,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_946]) ).
cnf(c_0_1391,plain,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_947]) ).
cnf(c_0_1392,plain,
( c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_948]) ).
cnf(c_0_1393,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_949]) ).
cnf(c_0_1394,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_950]) ).
cnf(c_0_1395,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_951]) ).
cnf(c_0_1396,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_952]) ).
cnf(c_0_1397,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_953]) ).
cnf(c_0_1398,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_954]) ).
cnf(c_0_1399,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_955]) ).
cnf(c_0_1400,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_956]) ).
cnf(c_0_1401,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_957]) ).
cnf(c_0_1402,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_958]) ).
cnf(c_0_1403,plain,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_959]) ).
cnf(c_0_1404,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_960]) ).
cnf(c_0_1405,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_961]) ).
cnf(c_0_1406,plain,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_962]) ).
cnf(c_0_1407,plain,
( c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_963]) ).
cnf(c_0_1408,plain,
( c_lessequals(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_964]) ).
cnf(c_0_1409,plain,
( c_lessequals(X4,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_965]) ).
cnf(c_0_1410,plain,
( c_lessequals(X2,X5,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_966]) ).
cnf(c_0_1411,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X4),hAPP(X1,X5),X3),hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X2)),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_967]) ).
cnf(c_0_1412,plain,
( c_lessequals(hAPP(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X2)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X4),hAPP(X1,X5),X3),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_968]) ).
cnf(c_0_1413,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_969]) ).
cnf(c_0_1414,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_970]) ).
cnf(c_0_1415,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_971]) ).
cnf(c_0_1416,plain,
( hBOOL(hAPP(X1,X4))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_972]) ).
cnf(c_0_1417,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_973]) ).
cnf(c_0_1418,plain,
( c_lessequals(X2,X1,X3)
| c_lessequals(X4,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_974]) ).
cnf(c_0_1419,plain,
( c_lessequals(X2,X1,X3)
| c_lessequals(X2,X5,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_975]) ).
cnf(c_0_1420,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_976]) ).
cnf(c_0_1421,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_977]) ).
cnf(c_0_1422,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_978]) ).
cnf(c_0_1423,plain,
( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_979]) ).
cnf(c_0_1424,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_980]) ).
cnf(c_0_1425,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_981]) ).
cnf(c_0_1426,plain,
( c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_982]) ).
cnf(c_0_1427,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_983]) ).
cnf(c_0_1428,plain,
( c_in(X4,X1,X3)
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_984]) ).
cnf(c_0_1429,plain,
( c_in(X2,X3,X4)
| c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_985]) ).
cnf(c_0_1430,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1431,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_987]) ).
cnf(c_0_1432,plain,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_988]) ).
cnf(c_0_1433,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_989]) ).
cnf(c_0_1434,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_990]) ).
cnf(c_0_1435,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_991]) ).
cnf(c_0_1436,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_992]) ).
cnf(c_0_1437,plain,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_993]) ).
cnf(c_0_1438,plain,
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X2,X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_994]) ).
cnf(c_0_1439,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_995]) ).
cnf(c_0_1440,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_996]) ).
cnf(c_0_1441,plain,
( c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_997]) ).
cnf(c_0_1442,plain,
( c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1443,plain,
( c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_999]) ).
cnf(c_0_1444,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1000]) ).
cnf(c_0_1445,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1446,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1002]) ).
cnf(c_0_1447,plain,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1003]) ).
cnf(c_0_1448,plain,
( c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1004]) ).
cnf(c_0_1449,plain,
( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1005]) ).
cnf(c_0_1450,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1006]) ).
cnf(c_0_1451,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1007]) ).
cnf(c_0_1452,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1008]) ).
cnf(c_0_1453,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1009]) ).
cnf(c_0_1454,plain,
( c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1010]) ).
cnf(c_0_1455,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_1011]) ).
cnf(c_0_1456,plain,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1012]) ).
cnf(c_0_1457,plain,
( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1013]) ).
cnf(c_0_1458,plain,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1014]) ).
cnf(c_0_1459,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1015]) ).
cnf(c_0_1460,plain,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1016]) ).
cnf(c_0_1461,plain,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1017]) ).
cnf(c_0_1462,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1018]) ).
cnf(c_0_1463,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1019]) ).
cnf(c_0_1464,plain,
( ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1020]) ).
cnf(c_0_1465,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1021]) ).
cnf(c_0_1466,plain,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1022]) ).
cnf(c_0_1467,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1023]) ).
cnf(c_0_1468,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1024]) ).
cnf(c_0_1469,plain,
( c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1025]) ).
cnf(c_0_1470,plain,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1026]) ).
cnf(c_0_1471,plain,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1027]) ).
cnf(c_0_1472,plain,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1028]) ).
cnf(c_0_1473,plain,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1029]) ).
cnf(c_0_1474,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1030]) ).
cnf(c_0_1475,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1031]) ).
cnf(c_0_1476,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1032]) ).
cnf(c_0_1477,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1033]) ).
cnf(c_0_1478,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1034]) ).
cnf(c_0_1479,plain,
( c_in(X1,X4,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1035]) ).
cnf(c_0_1480,plain,
( c_in(X1,X4,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1036]) ).
cnf(c_0_1481,plain,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1037]) ).
cnf(c_0_1482,plain,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1038]) ).
cnf(c_0_1483,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1039]) ).
cnf(c_0_1484,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1040]) ).
cnf(c_0_1485,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1041]) ).
cnf(c_0_1486,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1042]) ).
cnf(c_0_1487,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1043]) ).
cnf(c_0_1488,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1044]) ).
cnf(c_0_1489,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1045]) ).
cnf(c_0_1490,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1046]) ).
cnf(c_0_1491,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1047]) ).
cnf(c_0_1492,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3)
| ~ c_in(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1048]) ).
cnf(c_0_1493,plain,
( X1 = X2
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1049]) ).
cnf(c_0_1494,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1050]) ).
cnf(c_0_1495,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1051]) ).
cnf(c_0_1496,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1052]) ).
cnf(c_0_1497,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1053]) ).
cnf(c_0_1498,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1054]) ).
cnf(c_0_1499,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1055]) ).
cnf(c_0_1500,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_1056]) ).
cnf(c_0_1501,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_1057]) ).
cnf(c_0_1502,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_1058]) ).
cnf(c_0_1503,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_1059]) ).
cnf(c_0_1504,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1060]) ).
cnf(c_0_1505,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1061]) ).
cnf(c_0_1506,plain,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1062]) ).
cnf(c_0_1507,plain,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1063]) ).
cnf(c_0_1508,plain,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1064]) ).
cnf(c_0_1509,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1065]) ).
cnf(c_0_1510,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3)))
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1066]) ).
cnf(c_0_1511,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1067]) ).
cnf(c_0_1512,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1068]) ).
cnf(c_0_1513,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1069]) ).
cnf(c_0_1514,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1070]) ).
cnf(c_0_1515,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1071]) ).
cnf(c_0_1516,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1072]) ).
cnf(c_0_1517,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1073]) ).
cnf(c_0_1518,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1074]) ).
cnf(c_0_1519,plain,
( c_in(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1075]) ).
cnf(c_0_1520,plain,
( c_in(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1521,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1077]) ).
cnf(c_0_1522,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1078]) ).
cnf(c_0_1523,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1079]) ).
cnf(c_0_1524,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1080]) ).
cnf(c_0_1525,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1081]) ).
cnf(c_0_1526,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1082]) ).
cnf(c_0_1527,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1528,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1084]) ).
cnf(c_0_1529,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(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_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1085]) ).
cnf(c_0_1530,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1086]) ).
cnf(c_0_1531,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1087]) ).
cnf(c_0_1532,plain,
( c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1088]) ).
cnf(c_0_1533,plain,
( c_lessequals(X2,X1,tc_fun(X3,X4))
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1089]) ).
cnf(c_0_1534,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1090]) ).
cnf(c_0_1535,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1091]) ).
cnf(c_0_1536,plain,
( c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ c_lessequals(X4,X5,X2)
| ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1092]) ).
cnf(c_0_1537,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1093]) ).
cnf(c_0_1538,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1094]) ).
cnf(c_0_1539,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1095]) ).
cnf(c_0_1540,plain,
( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_1541,plain,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1097]) ).
cnf(c_0_1542,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1098]) ).
cnf(c_0_1543,plain,
( c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1544,plain,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1545,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1101]) ).
cnf(c_0_1546,plain,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1102]) ).
cnf(c_0_1547,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1103]) ).
cnf(c_0_1548,plain,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1104]) ).
cnf(c_0_1549,plain,
( c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1105]) ).
cnf(c_0_1550,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1106]) ).
cnf(c_0_1551,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1107]) ).
cnf(c_0_1552,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1108]) ).
cnf(c_0_1553,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1109]) ).
cnf(c_0_1554,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1110]) ).
cnf(c_0_1555,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1111]) ).
cnf(c_0_1556,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1112]) ).
cnf(c_0_1557,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1558,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1559,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1115]) ).
cnf(c_0_1560,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1116]) ).
cnf(c_0_1561,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1117]) ).
cnf(c_0_1562,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1118]) ).
cnf(c_0_1563,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1119]) ).
cnf(c_0_1564,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1120]) ).
cnf(c_0_1565,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1121]) ).
cnf(c_0_1566,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1122]) ).
cnf(c_0_1567,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_1568,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1569,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1125]) ).
cnf(c_0_1570,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1126]) ).
cnf(c_0_1571,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1572,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1128]) ).
cnf(c_0_1573,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1129]) ).
cnf(c_0_1574,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1130]) ).
cnf(c_0_1575,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1131]) ).
cnf(c_0_1576,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1132]) ).
cnf(c_0_1577,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1133]) ).
cnf(c_0_1578,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1134]) ).
cnf(c_0_1579,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1135]) ).
cnf(c_0_1580,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1136]) ).
cnf(c_0_1581,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1137]) ).
cnf(c_0_1582,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1583,plain,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1139]) ).
cnf(c_0_1584,plain,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1140]) ).
cnf(c_0_1585,plain,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1141]) ).
cnf(c_0_1586,plain,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1142]) ).
cnf(c_0_1587,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1143]) ).
cnf(c_0_1588,plain,
( c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1144]) ).
cnf(c_0_1589,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1145]) ).
cnf(c_0_1590,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1146]) ).
cnf(c_0_1591,plain,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1147]) ).
cnf(c_0_1592,plain,
( c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_1593,plain,
( c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1149]) ).
cnf(c_0_1594,plain,
( c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1150]) ).
cnf(c_0_1595,plain,
( c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1151]) ).
cnf(c_0_1596,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1152]) ).
cnf(c_0_1597,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1153]) ).
cnf(c_0_1598,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_1154]) ).
cnf(c_0_1599,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_1155]) ).
cnf(c_0_1600,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1156]) ).
cnf(c_0_1601,plain,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1157]) ).
cnf(c_0_1602,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1158]) ).
cnf(c_0_1603,plain,
( ~ c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1159]) ).
cnf(c_0_1604,plain,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_1160]) ).
cnf(c_0_1605,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1161]) ).
cnf(c_0_1606,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1162]) ).
cnf(c_0_1607,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1163]) ).
cnf(c_0_1608,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1164]) ).
cnf(c_0_1609,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1165]) ).
cnf(c_0_1610,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1166]) ).
cnf(c_0_1611,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1167]) ).
cnf(c_0_1612,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1168]) ).
cnf(c_0_1613,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1169]) ).
cnf(c_0_1614,plain,
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1170]) ).
cnf(c_0_1615,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1171]) ).
cnf(c_0_1616,plain,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1172]) ).
cnf(c_0_1617,plain,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1173]) ).
cnf(c_0_1618,plain,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1174]) ).
cnf(c_0_1619,plain,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1175]) ).
cnf(c_0_1620,plain,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1176]) ).
cnf(c_0_1621,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1177]) ).
cnf(c_0_1622,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1178]) ).
cnf(c_0_1623,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1179]) ).
cnf(c_0_1624,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1180]) ).
cnf(c_0_1625,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1181]) ).
cnf(c_0_1626,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1182]) ).
cnf(c_0_1627,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1183]) ).
cnf(c_0_1628,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1184]) ).
cnf(c_0_1629,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1185]) ).
cnf(c_0_1630,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1186]) ).
cnf(c_0_1631,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1187]) ).
cnf(c_0_1632,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1188]) ).
cnf(c_0_1633,plain,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1189]) ).
cnf(c_0_1634,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1190]) ).
cnf(c_0_1635,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1191]) ).
cnf(c_0_1636,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1192]) ).
cnf(c_0_1637,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1193]) ).
cnf(c_0_1638,plain,
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1194]) ).
cnf(c_0_1639,plain,
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1195]) ).
cnf(c_0_1640,plain,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OgreaterThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1196]) ).
cnf(c_0_1641,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1197]) ).
cnf(c_0_1642,plain,
( c_lessequals(X2,X1,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatLeast(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1198]) ).
cnf(c_0_1643,plain,
( c_lessequals(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1199]) ).
cnf(c_0_1644,plain,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1200]) ).
cnf(c_0_1645,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1646,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1647,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1203]) ).
cnf(c_0_1648,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1204]) ).
cnf(c_0_1649,plain,
( c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1205]) ).
cnf(c_0_1650,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1206]) ).
cnf(c_0_1651,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1207]) ).
cnf(c_0_1652,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1208]) ).
cnf(c_0_1653,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1209]) ).
cnf(c_0_1654,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1210]) ).
cnf(c_0_1655,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1211]) ).
cnf(c_0_1656,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1212]) ).
cnf(c_0_1657,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1213]) ).
cnf(c_0_1658,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1214]) ).
cnf(c_0_1659,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1215]) ).
cnf(c_0_1660,plain,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1216]) ).
cnf(c_0_1661,plain,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1217]) ).
cnf(c_0_1662,plain,
( c_in(X2,c_SetInterval_Oord__class_OgreaterThan(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1218]) ).
cnf(c_0_1663,plain,
( c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1219]) ).
cnf(c_0_1664,plain,
( c_in(X2,c_SetInterval_Oord__class_OatLeast(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1220]) ).
cnf(c_0_1665,plain,
( c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1221]) ).
cnf(c_0_1666,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1222]) ).
cnf(c_0_1667,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1223]) ).
cnf(c_0_1668,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1224]) ).
cnf(c_0_1669,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1225]) ).
cnf(c_0_1670,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1226]) ).
cnf(c_0_1671,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1227]) ).
cnf(c_0_1672,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1228]) ).
cnf(c_0_1673,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1229]) ).
cnf(c_0_1674,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1230]) ).
cnf(c_0_1675,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1231]) ).
cnf(c_0_1676,plain,
( c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1232]) ).
cnf(c_0_1677,plain,
( c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1233]) ).
cnf(c_0_1678,plain,
( c_Finite__Set_Ofinite(X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1234]) ).
cnf(c_0_1679,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1235]) ).
cnf(c_0_1680,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1236]) ).
cnf(c_0_1681,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1682,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1238]) ).
cnf(c_0_1683,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1239]) ).
cnf(c_0_1684,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1240]) ).
cnf(c_0_1685,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1241]) ).
cnf(c_0_1686,plain,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1242]) ).
cnf(c_0_1687,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1243]) ).
cnf(c_0_1688,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1689,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1245]) ).
cnf(c_0_1690,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1246]) ).
cnf(c_0_1691,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1692,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1248]) ).
cnf(c_0_1693,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1249]) ).
cnf(c_0_1694,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1250]) ).
cnf(c_0_1695,plain,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1251]) ).
cnf(c_0_1696,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1252]) ).
cnf(c_0_1697,plain,
( c_lessequals(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1253]) ).
cnf(c_0_1698,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1254]) ).
cnf(c_0_1699,plain,
( c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1255]) ).
cnf(c_0_1700,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1256]) ).
cnf(c_0_1701,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1257]) ).
cnf(c_0_1702,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1258]) ).
cnf(c_0_1703,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1259]) ).
cnf(c_0_1704,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1705,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1261]) ).
cnf(c_0_1706,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1707,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1263]) ).
cnf(c_0_1708,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1264]) ).
cnf(c_0_1709,plain,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1265]) ).
cnf(c_0_1710,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1266]) ).
cnf(c_0_1711,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1267]) ).
cnf(c_0_1712,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1268]) ).
cnf(c_0_1713,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1269]) ).
cnf(c_0_1714,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_1270]) ).
cnf(c_0_1715,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_1271]) ).
cnf(c_0_1716,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_1717,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1273]) ).
cnf(c_0_1718,plain,
( X1 = c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1274]) ).
cnf(c_0_1719,plain,
( X1 = c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1275]) ).
cnf(c_0_1720,plain,
( X1 = c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1276]) ).
cnf(c_0_1721,plain,
( X1 = c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1277]) ).
cnf(c_0_1722,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1278]) ).
cnf(c_0_1723,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1279]) ).
cnf(c_0_1724,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_1725,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_1726,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1282]) ).
cnf(c_0_1727,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1283]) ).
cnf(c_0_1728,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_1729,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_1730,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1286]) ).
cnf(c_0_1731,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1287]) ).
cnf(c_0_1732,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1288]) ).
cnf(c_0_1733,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1289]) ).
cnf(c_0_1734,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1735,plain,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_1736,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_1737,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1293]) ).
cnf(c_0_1738,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_1739,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1295]) ).
cnf(c_0_1740,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1296]) ).
cnf(c_0_1741,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_1742,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1298]) ).
cnf(c_0_1743,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1299]) ).
cnf(c_0_1744,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1300]) ).
cnf(c_0_1745,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1301]) ).
cnf(c_0_1746,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1302]) ).
cnf(c_0_1747,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_1748,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1304]) ).
cnf(c_0_1749,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1305]) ).
cnf(c_0_1750,plain,
( X1 = X2
| c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1306]) ).
cnf(c_0_1751,plain,
( X1 = X2
| c_SetInterval_Oord__class_OgreaterThan(X1,X3) != c_SetInterval_Oord__class_OgreaterThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1307]) ).
cnf(c_0_1752,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1308]) ).
cnf(c_0_1753,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1309]) ).
cnf(c_0_1754,plain,
( X1 = X2
| c_SetInterval_Oord__class_OatLeast(X1,X3) != c_SetInterval_Oord__class_OatLeast(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1310]) ).
cnf(c_0_1755,plain,
( X1 = X2
| c_SetInterval_Oord__class_OatMost(X1,X3) != c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1311]) ).
cnf(c_0_1756,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1312]) ).
cnf(c_0_1757,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1313]) ).
cnf(c_0_1758,plain,
( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1314]) ).
cnf(c_0_1759,plain,
( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1315]) ).
cnf(c_0_1760,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1316]) ).
cnf(c_0_1761,plain,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1317]) ).
cnf(c_0_1762,plain,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1318]) ).
cnf(c_0_1763,plain,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1319]) ).
cnf(c_0_1764,plain,
( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1320]) ).
cnf(c_0_1765,plain,
( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1321]) ).
cnf(c_0_1766,plain,
( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1322]) ).
cnf(c_0_1767,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1323]) ).
cnf(c_0_1768,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1324]) ).
cnf(c_0_1769,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1325]) ).
cnf(c_0_1770,plain,
( class_Orderings_Otop(tc_fun(X2,X1))
| ~ class_Orderings_Otop(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1326]) ).
cnf(c_0_1771,plain,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1327]) ).
cnf(c_0_1772,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1328]) ).
cnf(c_0_1773,plain,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1329]) ).
cnf(c_0_1774,plain,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1330]) ).
cnf(c_0_1775,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1331]) ).
cnf(c_0_1776,plain,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
c_0_1332,
[final] ).
cnf(c_0_1777,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4)
| ~ class_HOL_Oord(X4) ),
c_0_1333,
[final] ).
cnf(c_0_1778,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4)
| ~ class_HOL_Oord(X4) ),
c_0_1334,
[final] ).
cnf(c_0_1779,plain,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5) ),
c_0_1335,
[final] ).
cnf(c_0_1780,plain,
( c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4)
| c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
c_0_1336,
[final] ).
cnf(c_0_1781,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
c_0_1337,
[final] ).
cnf(c_0_1782,plain,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
c_0_1338,
[final] ).
cnf(c_0_1783,plain,
( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
c_0_1339,
[final] ).
cnf(c_0_1784,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
c_0_1340,
[final] ).
cnf(c_0_1785,plain,
( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
c_0_1341,
[final] ).
cnf(c_0_1786,plain,
( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
c_0_1342,
[final] ).
cnf(c_0_1787,plain,
( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
c_0_1343,
[final] ).
cnf(c_0_1788,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
c_0_1344,
[final] ).
cnf(c_0_1789,plain,
( hBOOL(hAPP(X2,hAPP(X1,X5)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
c_0_1345,
[final] ).
cnf(c_0_1790,plain,
( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
c_0_1346,
[final] ).
cnf(c_0_1791,plain,
( c_Set_Oimage(X3,X1,X2,X2) = X1
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
c_0_1347,
[final] ).
cnf(c_0_1792,plain,
( hAPP(X2,X1) = X3
| ~ c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
c_0_1348,
[final] ).
cnf(c_0_1793,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1349,
[final] ).
cnf(c_0_1794,plain,
( c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
c_0_1350,
[final] ).
cnf(c_0_1795,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1351,
[final] ).
cnf(c_0_1796,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
c_0_1352,
[final] ).
cnf(c_0_1797,plain,
( c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1353,
[final] ).
cnf(c_0_1798,plain,
( c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
c_0_1354,
[final] ).
cnf(c_0_1799,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
c_0_1355,
[final] ).
cnf(c_0_1800,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
c_0_1356,
[final] ).
cnf(c_0_1801,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
c_0_1357,
[final] ).
cnf(c_0_1802,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
c_0_1358,
[final] ).
cnf(c_0_1803,plain,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
c_0_1359,
[final] ).
cnf(c_0_1804,plain,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
c_0_1360,
[final] ).
cnf(c_0_1805,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
c_0_1361,
[final] ).
cnf(c_0_1806,plain,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1362,
[final] ).
cnf(c_0_1807,plain,
( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1363,
[final] ).
cnf(c_0_1808,plain,
( c_Fun_Oinj__on(X3,X1,X2,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
c_0_1364,
[final] ).
cnf(c_0_1809,plain,
( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
| ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
c_0_1365,
[final] ).
cnf(c_0_1810,plain,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(X4,X5,X2) ),
c_0_1366,
[final] ).
cnf(c_0_1811,plain,
( c_in(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
c_0_1367,
[final] ).
cnf(c_0_1812,plain,
( c_in(hAPP(X1,X6),X5,X4)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X2,X3) ),
c_0_1368,
[final] ).
cnf(c_0_1813,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
c_0_1369,
[final] ).
cnf(c_0_1814,plain,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
c_0_1370,
[final] ).
cnf(c_0_1815,plain,
( c_in(hAPP(X2,X1),X3,X5)
| ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4) ),
c_0_1371,
[final] ).
cnf(c_0_1816,plain,
( c_in(hAPP(X2,X1),X3,X5)
| ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4) ),
c_0_1372,
[final] ).
cnf(c_0_1817,plain,
( c_Finite__Set_Ofinite(X3,X5)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
c_0_1373,
[final] ).
cnf(c_0_1818,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1374,
[final] ).
cnf(c_0_1819,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
| ~ class_Lattices_Olattice(X4) ),
c_0_1375,
[final] ).
cnf(c_0_1820,plain,
( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
c_0_1376,
[final] ).
cnf(c_0_1821,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
c_0_1377,
[final] ).
cnf(c_0_1822,plain,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
c_0_1378,
[final] ).
cnf(c_0_1823,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
c_0_1379,
[final] ).
cnf(c_0_1824,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
c_0_1380,
[final] ).
cnf(c_0_1825,plain,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
c_0_1381,
[final] ).
cnf(c_0_1826,plain,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
c_0_1382,
[final] ).
cnf(c_0_1827,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
c_0_1383,
[final] ).
cnf(c_0_1828,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
c_0_1384,
[final] ).
cnf(c_0_1829,plain,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
c_0_1385,
[final] ).
cnf(c_0_1830,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
c_0_1386,
[final] ).
cnf(c_0_1831,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
c_0_1387,
[final] ).
cnf(c_0_1832,plain,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
c_0_1388,
[final] ).
cnf(c_0_1833,plain,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
c_0_1389,
[final] ).
cnf(c_0_1834,plain,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
c_0_1390,
[final] ).
cnf(c_0_1835,plain,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
c_0_1391,
[final] ).
cnf(c_0_1836,plain,
( c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1392,
[final] ).
cnf(c_0_1837,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
c_0_1393,
[final] ).
cnf(c_0_1838,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
c_0_1394,
[final] ).
cnf(c_0_1839,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
c_0_1395,
[final] ).
cnf(c_0_1840,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
c_0_1396,
[final] ).
cnf(c_0_1841,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1397,
[final] ).
cnf(c_0_1842,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1398,
[final] ).
cnf(c_0_1843,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
c_0_1399,
[final] ).
cnf(c_0_1844,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
c_0_1400,
[final] ).
cnf(c_0_1845,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
c_0_1401,
[final] ).
cnf(c_0_1846,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
c_0_1402,
[final] ).
cnf(c_0_1847,plain,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
c_0_1403,
[final] ).
cnf(c_0_1848,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_1404,
[final] ).
cnf(c_0_1849,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_1405,
[final] ).
cnf(c_0_1850,plain,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
c_0_1406,
[final] ).
cnf(c_0_1851,plain,
( c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1407,
[final] ).
cnf(c_0_1852,plain,
( c_lessequals(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1408,
[final] ).
cnf(c_0_1853,plain,
( c_lessequals(X4,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1409,
[final] ).
cnf(c_0_1854,plain,
( c_lessequals(X2,X5,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1410,
[final] ).
cnf(c_0_1855,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X4),hAPP(X1,X5),X3),hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X2)),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ class_Lattices_Oupper__semilattice(X2) ),
c_0_1411,
[final] ).
cnf(c_0_1856,plain,
( c_lessequals(hAPP(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X2)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X4),hAPP(X1,X5),X3),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ class_Lattices_Olower__semilattice(X2) ),
c_0_1412,
[final] ).
cnf(c_0_1857,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
c_0_1413,
[final] ).
cnf(c_0_1858,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
c_0_1414,
[final] ).
cnf(c_0_1859,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
c_0_1415,
[final] ).
cnf(c_0_1860,plain,
( hBOOL(hAPP(X1,X4))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
c_0_1416,
[final] ).
cnf(c_0_1861,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1417,
[final] ).
cnf(c_0_1862,plain,
( c_lessequals(X2,X1,X3)
| c_lessequals(X4,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
c_0_1418,
[final] ).
cnf(c_0_1863,plain,
( c_lessequals(X2,X1,X3)
| c_lessequals(X2,X5,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
c_0_1419,
[final] ).
cnf(c_0_1864,plain,
( hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
c_0_1420,
[final] ).
cnf(c_0_1865,plain,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
c_0_1421,
[final] ).
cnf(c_0_1866,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1422,
[final] ).
cnf(c_0_1867,plain,
( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
c_0_1423,
[final] ).
cnf(c_0_1868,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1424,
[final] ).
cnf(c_0_1869,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1425,
[final] ).
cnf(c_0_1870,plain,
( c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1426,
[final] ).
cnf(c_0_1871,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_1427,
[final] ).
cnf(c_0_1872,plain,
( c_in(X4,X1,X3)
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1428,
[final] ).
cnf(c_0_1873,plain,
( c_in(X2,X3,X4)
| c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
c_0_1429,
[final] ).
cnf(c_0_1874,plain,
( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
c_0_1430,
[final] ).
cnf(c_0_1875,plain,
( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
c_0_1431,
[final] ).
cnf(c_0_1876,plain,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1432,
[final] ).
cnf(c_0_1877,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
c_0_1433,
[final] ).
cnf(c_0_1878,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
c_0_1434,
[final] ).
cnf(c_0_1879,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1435,
[final] ).
cnf(c_0_1880,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1436,
[final] ).
cnf(c_0_1881,plain,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1437,
[final] ).
cnf(c_0_1882,plain,
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X2,X1,X3))) ),
c_0_1438,
[final] ).
cnf(c_0_1883,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_1439,
[final] ).
cnf(c_0_1884,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
c_0_1440,
[final] ).
cnf(c_0_1885,plain,
( c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4) ),
c_0_1441,
[final] ).
cnf(c_0_1886,plain,
( c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2 ),
c_0_1442,
[final] ).
cnf(c_0_1887,plain,
( c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
c_0_1443,
[final] ).
cnf(c_0_1888,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1444,
[final] ).
cnf(c_0_1889,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
c_0_1445,
[final] ).
cnf(c_0_1890,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
c_0_1446,
[final] ).
cnf(c_0_1891,plain,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
c_0_1447,
[final] ).
cnf(c_0_1892,plain,
( c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
c_0_1448,
[final] ).
cnf(c_0_1893,plain,
( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1449,
[final] ).
cnf(c_0_1894,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
c_0_1450,
[final] ).
cnf(c_0_1895,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
c_0_1451,
[final] ).
cnf(c_0_1896,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
c_0_1452,
[final] ).
cnf(c_0_1897,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
c_0_1453,
[final] ).
cnf(c_0_1898,plain,
( c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
c_0_1454,
[final] ).
cnf(c_0_1899,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_1455,
[final] ).
cnf(c_0_1900,plain,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1456,
[final] ).
cnf(c_0_1901,plain,
( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
c_0_1457,
[final] ).
cnf(c_0_1902,plain,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
c_0_1458,
[final] ).
cnf(c_0_1903,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
c_0_1459,
[final] ).
cnf(c_0_1904,plain,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
c_0_1460,
[final] ).
cnf(c_0_1905,plain,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1461,
[final] ).
cnf(c_0_1906,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
c_0_1462,
[final] ).
cnf(c_0_1907,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1463,
[final] ).
cnf(c_0_1908,plain,
( ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
c_0_1464,
[final] ).
cnf(c_0_1909,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
c_0_1465,
[final] ).
cnf(c_0_1910,plain,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1466,
[final] ).
cnf(c_0_1911,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1467,
[final] ).
cnf(c_0_1912,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1468,
[final] ).
cnf(c_0_1913,plain,
( c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4) ),
c_0_1469,
[final] ).
cnf(c_0_1914,plain,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4) ),
c_0_1470,
[final] ).
cnf(c_0_1915,plain,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4) ),
c_0_1471,
[final] ).
cnf(c_0_1916,plain,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
c_0_1472,
[final] ).
cnf(c_0_1917,plain,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
c_0_1473,
[final] ).
cnf(c_0_1918,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_1474,
[final] ).
cnf(c_0_1919,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1475,
[final] ).
cnf(c_0_1920,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1476,
[final] ).
cnf(c_0_1921,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1477,
[final] ).
cnf(c_0_1922,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1478,
[final] ).
cnf(c_0_1923,plain,
( c_in(X1,X4,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1479,
[final] ).
cnf(c_0_1924,plain,
( c_in(X1,X4,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1480,
[final] ).
cnf(c_0_1925,plain,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
c_0_1481,
[final] ).
cnf(c_0_1926,plain,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_1482,
[final] ).
cnf(c_0_1927,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1483,
[final] ).
cnf(c_0_1928,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1484,
[final] ).
cnf(c_0_1929,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1485,
[final] ).
cnf(c_0_1930,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1486,
[final] ).
cnf(c_0_1931,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1487,
[final] ).
cnf(c_0_1932,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1488,
[final] ).
cnf(c_0_1933,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1489,
[final] ).
cnf(c_0_1934,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1490,
[final] ).
cnf(c_0_1935,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
c_0_1491,
[final] ).
cnf(c_0_1936,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3)
| ~ c_in(X4,X2,X3) ),
c_0_1492,
[final] ).
cnf(c_0_1937,plain,
( X1 = X2
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
c_0_1493,
[final] ).
cnf(c_0_1938,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1494,
[final] ).
cnf(c_0_1939,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1495,
[final] ).
cnf(c_0_1940,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1496,
[final] ).
cnf(c_0_1941,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
c_0_1497,
[final] ).
cnf(c_0_1942,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
c_0_1498,
[final] ).
cnf(c_0_1943,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1499,
[final] ).
cnf(c_0_1944,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_1500,
[final] ).
cnf(c_0_1945,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_1501,
[final] ).
cnf(c_0_1946,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_1502,
[final] ).
cnf(c_0_1947,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_1503,
[final] ).
cnf(c_0_1948,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1504,
[final] ).
cnf(c_0_1949,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1505,
[final] ).
cnf(c_0_1950,plain,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1506,
[final] ).
cnf(c_0_1951,plain,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1507,
[final] ).
cnf(c_0_1952,plain,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1508,
[final] ).
cnf(c_0_1953,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1509,
[final] ).
cnf(c_0_1954,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3)))
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1510,
[final] ).
cnf(c_0_1955,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1511,
[final] ).
cnf(c_0_1956,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1512,
[final] ).
cnf(c_0_1957,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1513,
[final] ).
cnf(c_0_1958,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1514,
[final] ).
cnf(c_0_1959,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1515,
[final] ).
cnf(c_0_1960,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1516,
[final] ).
cnf(c_0_1961,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1517,
[final] ).
cnf(c_0_1962,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1518,
[final] ).
cnf(c_0_1963,plain,
( c_in(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1519,
[final] ).
cnf(c_0_1964,plain,
( c_in(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1520,
[final] ).
cnf(c_0_1965,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1521,
[final] ).
cnf(c_0_1966,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1522,
[final] ).
cnf(c_0_1967,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1523,
[final] ).
cnf(c_0_1968,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1524,
[final] ).
cnf(c_0_1969,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_1525,
[final] ).
cnf(c_0_1970,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_1526,
[final] ).
cnf(c_0_1971,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_1527,
[final] ).
cnf(c_0_1972,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_1528,
[final] ).
cnf(c_0_1973,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(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_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_1529,
[final] ).
cnf(c_0_1974,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
c_0_1530,
[final] ).
cnf(c_0_1975,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1531,
[final] ).
cnf(c_0_1976,plain,
( c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
c_0_1532,
[final] ).
cnf(c_0_1977,plain,
( c_lessequals(X2,X1,tc_fun(X3,X4))
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_1533,
[final] ).
cnf(c_0_1978,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1534,
[final] ).
cnf(c_0_1979,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1535,
[final] ).
cnf(c_0_1980,plain,
( c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ c_lessequals(X4,X5,X2)
| ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X2) ),
c_0_1536,
[final] ).
cnf(c_0_1981,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1537,
[final] ).
cnf(c_0_1982,plain,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_1538,
[final] ).
cnf(c_0_1983,plain,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_1539,
[final] ).
cnf(c_0_1984,plain,
( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1540,
[final] ).
cnf(c_0_1985,plain,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
c_0_1541,
[final] ).
cnf(c_0_1986,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
c_0_1542,
[final] ).
cnf(c_0_1987,plain,
( c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
c_0_1543,
[final] ).
cnf(c_0_1988,plain,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
c_0_1544,
[final] ).
cnf(c_0_1989,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
c_0_1545,
[final] ).
cnf(c_0_1990,plain,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
c_0_1546,
[final] ).
cnf(c_0_1991,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Olinorder(X2) ),
c_0_1547,
[final] ).
cnf(c_0_1992,plain,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Olinorder(X2) ),
c_0_1548,
[final] ).
cnf(c_0_1993,plain,
( c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1549,
[final] ).
cnf(c_0_1994,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1550,
[final] ).
cnf(c_0_1995,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1551,
[final] ).
cnf(c_0_1996,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1552,
[final] ).
cnf(c_0_1997,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1553,
[final] ).
cnf(c_0_1998,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
c_0_1554,
[final] ).
cnf(c_0_1999,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_1555,
[final] ).
cnf(c_0_2000,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1556,
[final] ).
cnf(c_0_2001,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1557,
[final] ).
cnf(c_0_2002,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1558,
[final] ).
cnf(c_0_2003,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1559,
[final] ).
cnf(c_0_2004,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1560,
[final] ).
cnf(c_0_2005,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1561,
[final] ).
cnf(c_0_2006,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1562,
[final] ).
cnf(c_0_2007,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1563,
[final] ).
cnf(c_0_2008,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1564,
[final] ).
cnf(c_0_2009,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1565,
[final] ).
cnf(c_0_2010,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_1566,
[final] ).
cnf(c_0_2011,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_1567,
[final] ).
cnf(c_0_2012,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1568,
[final] ).
cnf(c_0_2013,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1569,
[final] ).
cnf(c_0_2014,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
c_0_1570,
[final] ).
cnf(c_0_2015,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
c_0_1571,
[final] ).
cnf(c_0_2016,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1572,
[final] ).
cnf(c_0_2017,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_1573,
[final] ).
cnf(c_0_2018,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_1574,
[final] ).
cnf(c_0_2019,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1575,
[final] ).
cnf(c_0_2020,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1576,
[final] ).
cnf(c_0_2021,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1577,
[final] ).
cnf(c_0_2022,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1578,
[final] ).
cnf(c_0_2023,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1579,
[final] ).
cnf(c_0_2024,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1580,
[final] ).
cnf(c_0_2025,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1581,
[final] ).
cnf(c_0_2026,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1582,
[final] ).
cnf(c_0_2027,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_1583,
[final] ).
cnf(c_0_2028,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_1584,
[final] ).
cnf(c_0_2029,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_1585,
[final] ).
cnf(c_0_2030,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_1586,
[final] ).
cnf(c_0_2031,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
c_0_1587,
[final] ).
cnf(c_0_2032,plain,
( c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1588,
[final] ).
cnf(c_0_2033,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1589,
[final] ).
cnf(c_0_2034,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
c_0_1590,
[final] ).
cnf(c_0_2035,plain,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2) ),
c_0_1591,
[final] ).
cnf(c_0_2036,plain,
( c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1592,
[final] ).
cnf(c_0_2037,plain,
( c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1593,
[final] ).
cnf(c_0_2038,plain,
( c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1594,
[final] ).
cnf(c_0_2039,plain,
( c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1595,
[final] ).
cnf(c_0_2040,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1596,
[final] ).
cnf(c_0_2041,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1597,
[final] ).
cnf(c_0_2042,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_1598,
[final] ).
cnf(c_0_2043,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_1599,
[final] ).
cnf(c_0_2044,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1600,
[final] ).
cnf(c_0_2045,plain,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1601,
[final] ).
cnf(c_0_2046,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1602,
[final] ).
cnf(c_0_2047,plain,
( ~ c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1603,
[final] ).
cnf(c_0_2048,plain,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(X3,X1)) ),
c_0_1604,
[final] ).
cnf(c_0_2049,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1605,
[final] ).
cnf(c_0_2050,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1606,
[final] ).
cnf(c_0_2051,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1607,
[final] ).
cnf(c_0_2052,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1608,
[final] ).
cnf(c_0_2053,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1609,
[final] ).
cnf(c_0_2054,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1610,
[final] ).
cnf(c_0_2055,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1611,
[final] ).
cnf(c_0_2056,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1612,
[final] ).
cnf(c_0_2057,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_1613,
[final] ).
cnf(c_0_2058,plain,
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
c_0_1614,
[final] ).
cnf(c_0_2059,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
c_0_1615,
[final] ).
cnf(c_0_2060,plain,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
c_0_1616,
[final] ).
cnf(c_0_2061,plain,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
c_0_1617,
[final] ).
cnf(c_0_2062,plain,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_1618,
[final] ).
cnf(c_0_2063,plain,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
c_0_1619,
[final] ).
cnf(c_0_2064,plain,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1620,
[final] ).
cnf(c_0_2065,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1621,
[final] ).
cnf(c_0_2066,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1622,
[final] ).
cnf(c_0_2067,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
c_0_1623,
[final] ).
cnf(c_0_2068,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1624,
[final] ).
cnf(c_0_2069,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1625,
[final] ).
cnf(c_0_2070,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1626,
[final] ).
cnf(c_0_2071,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1627,
[final] ).
cnf(c_0_2072,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
c_0_1628,
[final] ).
cnf(c_0_2073,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
c_0_1629,
[final] ).
cnf(c_0_2074,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1630,
[final] ).
cnf(c_0_2075,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1631,
[final] ).
cnf(c_0_2076,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1632,
[final] ).
cnf(c_0_2077,plain,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
c_0_1633,
[final] ).
cnf(c_0_2078,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
c_0_1634,
[final] ).
cnf(c_0_2079,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
c_0_1635,
[final] ).
cnf(c_0_2080,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
c_0_1636,
[final] ).
cnf(c_0_2081,plain,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
c_0_1637,
[final] ).
cnf(c_0_2082,plain,
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
c_0_1638,
[final] ).
cnf(c_0_2083,plain,
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
c_0_1639,
[final] ).
cnf(c_0_2084,plain,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OgreaterThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
c_0_1640,
[final] ).
cnf(c_0_2085,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
c_0_1641,
[final] ).
cnf(c_0_2086,plain,
( c_lessequals(X2,X1,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatLeast(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
c_0_1642,
[final] ).
cnf(c_0_2087,plain,
( c_lessequals(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
c_0_1643,
[final] ).
cnf(c_0_2088,plain,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
c_0_1644,
[final] ).
cnf(c_0_2089,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_1645,
[final] ).
cnf(c_0_2090,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1646,
[final] ).
cnf(c_0_2091,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1647,
[final] ).
cnf(c_0_2092,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1648,
[final] ).
cnf(c_0_2093,plain,
( c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
c_0_1649,
[final] ).
cnf(c_0_2094,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_1650,
[final] ).
cnf(c_0_2095,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
c_0_1651,
[final] ).
cnf(c_0_2096,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1652,
[final] ).
cnf(c_0_2097,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1653,
[final] ).
cnf(c_0_2098,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1654,
[final] ).
cnf(c_0_2099,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1655,
[final] ).
cnf(c_0_2100,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1656,
[final] ).
cnf(c_0_2101,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1657,
[final] ).
cnf(c_0_2102,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1658,
[final] ).
cnf(c_0_2103,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1659,
[final] ).
cnf(c_0_2104,plain,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1660,
[final] ).
cnf(c_0_2105,plain,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1661,
[final] ).
cnf(c_0_2106,plain,
( c_in(X2,c_SetInterval_Oord__class_OgreaterThan(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
c_0_1662,
[final] ).
cnf(c_0_2107,plain,
( c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
c_0_1663,
[final] ).
cnf(c_0_2108,plain,
( c_in(X2,c_SetInterval_Oord__class_OatLeast(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
c_0_1664,
[final] ).
cnf(c_0_2109,plain,
( c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
c_0_1665,
[final] ).
cnf(c_0_2110,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
c_0_1666,
[final] ).
cnf(c_0_2111,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
c_0_1667,
[final] ).
cnf(c_0_2112,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1668,
[final] ).
cnf(c_0_2113,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1669,
[final] ).
cnf(c_0_2114,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1670,
[final] ).
cnf(c_0_2115,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1671,
[final] ).
cnf(c_0_2116,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1672,
[final] ).
cnf(c_0_2117,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1673,
[final] ).
cnf(c_0_2118,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1674,
[final] ).
cnf(c_0_2119,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1675,
[final] ).
cnf(c_0_2120,plain,
( c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1676,
[final] ).
cnf(c_0_2121,plain,
( c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
c_0_1677,
[final] ).
cnf(c_0_2122,plain,
( c_Finite__Set_Ofinite(X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
c_0_1678,
[final] ).
cnf(c_0_2123,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1679,
[final] ).
cnf(c_0_2124,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1680,
[final] ).
cnf(c_0_2125,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1681,
[final] ).
cnf(c_0_2126,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1682,
[final] ).
cnf(c_0_2127,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1683,
[final] ).
cnf(c_0_2128,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1684,
[final] ).
cnf(c_0_2129,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1685,
[final] ).
cnf(c_0_2130,plain,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1686,
[final] ).
cnf(c_0_2131,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1687,
[final] ).
cnf(c_0_2132,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1688,
[final] ).
cnf(c_0_2133,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1689,
[final] ).
cnf(c_0_2134,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1690,
[final] ).
cnf(c_0_2135,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1691,
[final] ).
cnf(c_0_2136,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_1692,
[final] ).
cnf(c_0_2137,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1693,
[final] ).
cnf(c_0_2138,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1694,
[final] ).
cnf(c_0_2139,plain,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
c_0_1695,
[final] ).
cnf(c_0_2140,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1696,
[final] ).
cnf(c_0_2141,plain,
( c_lessequals(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1697,
[final] ).
cnf(c_0_2142,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1698,
[final] ).
cnf(c_0_2143,plain,
( c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
c_0_1699,
[final] ).
cnf(c_0_2144,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_1700,
[final] ).
cnf(c_0_2145,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
c_0_1701,
[final] ).
cnf(c_0_2146,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_1702,
[final] ).
cnf(c_0_2147,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
c_0_1703,
[final] ).
cnf(c_0_2148,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1704,
[final] ).
cnf(c_0_2149,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1705,
[final] ).
cnf(c_0_2150,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
c_0_1706,
[final] ).
cnf(c_0_2151,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
c_0_1707,
[final] ).
cnf(c_0_2152,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1708,
[final] ).
cnf(c_0_2153,plain,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1709,
[final] ).
cnf(c_0_2154,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1710,
[final] ).
cnf(c_0_2155,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1711,
[final] ).
cnf(c_0_2156,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1712,
[final] ).
cnf(c_0_2157,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
c_0_1713,
[final] ).
cnf(c_0_2158,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_1714,
[final] ).
cnf(c_0_2159,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_1715,
[final] ).
cnf(c_0_2160,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1716,
[final] ).
cnf(c_0_2161,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1717,
[final] ).
cnf(c_0_2162,plain,
( X1 = c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1718,
[final] ).
cnf(c_0_2163,plain,
( X1 = c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1719,
[final] ).
cnf(c_0_2164,plain,
( X1 = c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1720,
[final] ).
cnf(c_0_2165,plain,
( X1 = c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1721,
[final] ).
cnf(c_0_2166,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1722,
[final] ).
cnf(c_0_2167,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1723,
[final] ).
cnf(c_0_2168,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1724,
[final] ).
cnf(c_0_2169,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_1725,
[final] ).
cnf(c_0_2170,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_1726,
[final] ).
cnf(c_0_2171,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_1727,
[final] ).
cnf(c_0_2172,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_1728,
[final] ).
cnf(c_0_2173,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_1729,
[final] ).
cnf(c_0_2174,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
c_0_1730,
[final] ).
cnf(c_0_2175,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1731,
[final] ).
cnf(c_0_2176,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1732,
[final] ).
cnf(c_0_2177,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1733,
[final] ).
cnf(c_0_2178,plain,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1734,
[final] ).
cnf(c_0_2179,plain,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
c_0_1735,
[final] ).
cnf(c_0_2180,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1736,
[final] ).
cnf(c_0_2181,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_1737,
[final] ).
cnf(c_0_2182,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1738,
[final] ).
cnf(c_0_2183,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_1739,
[final] ).
cnf(c_0_2184,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1740,
[final] ).
cnf(c_0_2185,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_1741,
[final] ).
cnf(c_0_2186,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_1742,
[final] ).
cnf(c_0_2187,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_1743,
[final] ).
cnf(c_0_2188,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
c_0_1744,
[final] ).
cnf(c_0_2189,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
c_0_1745,
[final] ).
cnf(c_0_2190,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
c_0_1746,
[final] ).
cnf(c_0_2191,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
c_0_1747,
[final] ).
cnf(c_0_2192,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_1748,
[final] ).
cnf(c_0_2193,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1749,
[final] ).
cnf(c_0_2194,plain,
( X1 = X2
| c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1750,
[final] ).
cnf(c_0_2195,plain,
( X1 = X2
| c_SetInterval_Oord__class_OgreaterThan(X1,X3) != c_SetInterval_Oord__class_OgreaterThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1751,
[final] ).
cnf(c_0_2196,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_1752,
[final] ).
cnf(c_0_2197,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_1753,
[final] ).
cnf(c_0_2198,plain,
( X1 = X2
| c_SetInterval_Oord__class_OatLeast(X1,X3) != c_SetInterval_Oord__class_OatLeast(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1754,
[final] ).
cnf(c_0_2199,plain,
( X1 = X2
| c_SetInterval_Oord__class_OatMost(X1,X3) != c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1755,
[final] ).
cnf(c_0_2200,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1756,
[final] ).
cnf(c_0_2201,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_1757,
[final] ).
cnf(c_0_2202,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1758,
[final] ).
cnf(c_0_2203,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1759,
[final] ).
cnf(c_0_2204,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_1760,
[final] ).
cnf(c_0_2205,plain,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
c_0_1761,
[final] ).
cnf(c_0_2206,plain,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_1762,
[final] ).
cnf(c_0_2207,plain,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_1763,
[final] ).
cnf(c_0_2208,plain,
( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
c_0_1764,
[final] ).
cnf(c_0_2209,plain,
( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_1765,
[final] ).
cnf(c_0_2210,plain,
( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
c_0_1766,
[final] ).
cnf(c_0_2211,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
c_0_1767,
[final] ).
cnf(c_0_2212,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_1768,
[final] ).
cnf(c_0_2213,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
c_0_1769,
[final] ).
cnf(c_0_2214,plain,
( class_Orderings_Otop(tc_fun(X2,X1))
| ~ class_Orderings_Otop(X1) ),
c_0_1770,
[final] ).
cnf(c_0_2215,plain,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
c_0_1771,
[final] ).
cnf(c_0_2216,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
c_0_1772,
[final] ).
cnf(c_0_2217,plain,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
c_0_1773,
[final] ).
cnf(c_0_2218,plain,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
c_0_1774,
[final] ).
cnf(c_0_2219,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
c_0_1775,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1776_0,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_2,axiom,
( ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_3,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1777_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4)
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1777_1,axiom,
( ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4)
| c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1777_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1(X1,X2,X3,X4)),X4)
| c_lessequals(X1,X2,tc_fun(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1778_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4)
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1778_1,axiom,
( ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4)
| c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1778_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),hAPP(X2,c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1(X1,X2,X3,X4)),X4)
| c_lessequals(X1,X2,tc_fun(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1779_0,axiom,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1779_1,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1780_0,axiom,
( c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4)
| c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1780_1,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
| c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1780_2,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
| c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1781_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1781_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1782_0,axiom,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1782_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1783_0,axiom,
( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_2,axiom,
( ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1784_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_2,axiom,
( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_3,axiom,
( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1785_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_2,axiom,
( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_3,axiom,
( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1786_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1786_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1786_2,axiom,
( ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1787_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1787_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1788_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1788_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1789_0,axiom,
( hBOOL(hAPP(X2,hAPP(X1,X5)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1789_1,axiom,
( ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| hBOOL(hAPP(X2,hAPP(X1,X5))) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1790_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1790_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1790_2,axiom,
( ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1791_0,axiom,
( c_Set_Oimage(X3,X1,X2,X2) = X1
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Set_Oimage(X3,X1,X2,X2) = X1
| ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_2,axiom,
( ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Set_Oimage(X3,X1,X2,X2) = X1
| ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_3,axiom,
( ~ c_Fun_Oinj__on(X3,X1,X2,X2)
| ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Set_Oimage(X3,X1,X2,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1792_0,axiom,
( hAPP(X2,X1) = X3
| ~ c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1792_1,axiom,
( ~ c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)
| hAPP(X2,X1) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1793_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1793_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1793_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1793_3,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1794_0,axiom,
( c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1794_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(X4,X5,X2)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1794_2,axiom,
( ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1795_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1795]) ).
cnf(c_0_1795_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1795]) ).
cnf(c_0_1795_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1795]) ).
cnf(c_0_1795_3,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1795]) ).
cnf(c_0_1796_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1796]) ).
cnf(c_0_1796_1,axiom,
( ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1796]) ).
cnf(c_0_1796_2,axiom,
( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1796]) ).
cnf(c_0_1797_0,axiom,
( c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1797_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1797_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1797_3,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1798_0,axiom,
( c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1798_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1798_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1798_3,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1799_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1799_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1799_2,axiom,
( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1800_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1800]) ).
cnf(c_0_1800_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1800]) ).
cnf(c_0_1800_2,axiom,
( ~ c_in(X2,X1,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1800]) ).
cnf(c_0_1801_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1801]) ).
cnf(c_0_1801_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1801]) ).
cnf(c_0_1801_2,axiom,
( ~ c_in(X2,X1,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1801]) ).
cnf(c_0_1802_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1802]) ).
cnf(c_0_1802_1,axiom,
( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1802]) ).
cnf(c_0_1802_2,axiom,
( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1802]) ).
cnf(c_0_1803_0,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1803]) ).
cnf(c_0_1803_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1803]) ).
cnf(c_0_1804_0,axiom,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1804_1,axiom,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| c_Finite__Set_Ofinite(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1804_2,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| c_Finite__Set_Ofinite(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1805_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1805]) ).
cnf(c_0_1805_1,axiom,
( ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1805]) ).
cnf(c_0_1806_0,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1806]) ).
cnf(c_0_1806_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1806]) ).
cnf(c_0_1807_0,axiom,
( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1807]) ).
cnf(c_0_1807_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1807]) ).
cnf(c_0_1808_0,axiom,
( c_Fun_Oinj__on(X3,X1,X2,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1808]) ).
cnf(c_0_1808_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Fun_Oinj__on(X3,X1,X2,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1808]) ).
cnf(c_0_1808_2,axiom,
( ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Fun_Oinj__on(X3,X1,X2,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1808]) ).
cnf(c_0_1809_0,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
| ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1809]) ).
cnf(c_0_1809_1,axiom,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_1809]) ).
cnf(c_0_1810_0,axiom,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1810_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_in(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1810_2,axiom,
( ~ c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1811_0,axiom,
( c_in(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1811_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1811_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1811_3,axiom,
( ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1812_0,axiom,
( c_in(hAPP(X1,X6),X5,X4)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1812_1,axiom,
( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(hAPP(X1,X6),X5,X4)
| ~ c_in(X6,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1812_2,axiom,
( ~ c_in(X6,X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(hAPP(X1,X6),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1813_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1813_1,axiom,
( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1813_2,axiom,
( ~ c_in(X2,X1,X4)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1814_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1814_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1814_2,axiom,
( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1815_0,axiom,
( c_in(hAPP(X2,X1),X3,X5)
| ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1815_1,axiom,
( ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| c_in(hAPP(X2,X1),X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1816_0,axiom,
( c_in(hAPP(X2,X1),X3,X5)
| ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1816_1,axiom,
( ~ c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| c_in(hAPP(X2,X1),X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1817_0,axiom,
( c_Finite__Set_Ofinite(X3,X5)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1817_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(X3,X5)
| ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1817_2,axiom,
( ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1818_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1818]) ).
cnf(c_0_1818_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1818]) ).
cnf(c_0_1819_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1819]) ).
cnf(c_0_1819_1,axiom,
( ~ class_Lattices_Olattice(X4)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1819]) ).
cnf(c_0_1820_0,axiom,
( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1820]) ).
cnf(c_0_1820_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1820]) ).
cnf(c_0_1821_0,axiom,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1821]) ).
cnf(c_0_1821_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1821]) ).
cnf(c_0_1822_0,axiom,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1822]) ).
cnf(c_0_1822_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Fun_Oinj__on(X1,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1822]) ).
cnf(c_0_1823_0,axiom,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1823_1,axiom,
( X1 = X3
| X1 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1823_2,axiom,
( c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
| X1 = X3
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1824_0,axiom,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1824_1,axiom,
( X3 = X2
| X1 = X2
| c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1824_2,axiom,
( c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X3 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1825_0,axiom,
( X1 = X2
| X3 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1825_1,axiom,
( X3 = X2
| X1 = X2
| c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1825_2,axiom,
( c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
| X3 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1826_0,axiom,
( X1 = X2
| X1 = X3
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1826_1,axiom,
( X1 = X3
| X1 = X2
| c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1826_2,axiom,
( c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
| X1 = X3
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1827_0,axiom,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1827]) ).
cnf(c_0_1827_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1827]) ).
cnf(c_0_1828_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1828]) ).
cnf(c_0_1828_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1828]) ).
cnf(c_0_1829_0,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1829]) ).
cnf(c_0_1829_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1829]) ).
cnf(c_0_1830_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1830]) ).
cnf(c_0_1830_1,axiom,
( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1830]) ).
cnf(c_0_1831_0,axiom,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1831]) ).
cnf(c_0_1831_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1831]) ).
cnf(c_0_1831_2,axiom,
( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1831]) ).
cnf(c_0_1832_0,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1832]) ).
cnf(c_0_1832_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1832]) ).
cnf(c_0_1833_0,axiom,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1833]) ).
cnf(c_0_1833_1,axiom,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1833]) ).
cnf(c_0_1834_0,axiom,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1834]) ).
cnf(c_0_1834_1,axiom,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1834]) ).
cnf(c_0_1835_0,axiom,
( c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)
| ~ c_in(hAPP(X1,X2),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1835]) ).
cnf(c_0_1835_1,axiom,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1835]) ).
cnf(c_0_1836_0,axiom,
( c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1836_1,axiom,
( c_HOL_Oord__class_Oless(X2,X5,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1836_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X2,X5,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1836_3,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X2,X5,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1836_4,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X2,X5,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1837_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1837]) ).
cnf(c_0_1837_1,axiom,
( ~ c_in(X2,X3,X4)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1837]) ).
cnf(c_0_1838_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1838]) ).
cnf(c_0_1838_1,axiom,
( ~ c_in(X2,X3,X4)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1838]) ).
cnf(c_0_1839_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1839]) ).
cnf(c_0_1839_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1839]) ).
cnf(c_0_1840_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1840]) ).
cnf(c_0_1840_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_1840]) ).
cnf(c_0_1841_0,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1841_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1841_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1841_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1841_4,axiom,
( ~ c_lessequals(X1,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1841_5,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X5,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1842_0,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1842_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1842_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1842_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1842_4,axiom,
( ~ c_lessequals(X1,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1842_5,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1843_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1843]) ).
cnf(c_0_1843_1,axiom,
( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1843]) ).
cnf(c_0_1844_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1844]) ).
cnf(c_0_1844_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1844]) ).
cnf(c_0_1844_2,axiom,
( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1844]) ).
cnf(c_0_1845_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1845]) ).
cnf(c_0_1845_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1845]) ).
cnf(c_0_1845_2,axiom,
( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1845]) ).
cnf(c_0_1846_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1846]) ).
cnf(c_0_1846_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1846]) ).
cnf(c_0_1846_2,axiom,
( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1846]) ).
cnf(c_0_1847_0,axiom,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1847_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1847_2,axiom,
( ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1847_3,axiom,
( ~ c_in(X6,X2,X3)
| ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1847_4,axiom,
( hAPP(X1,X5) != hAPP(X1,X6)
| ~ c_in(X6,X2,X3)
| ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1848_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1848_1,axiom,
( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1848_2,axiom,
( ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1848_3,axiom,
( ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1848_4,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1849_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1849_1,axiom,
( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1849_2,axiom,
( ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1849_3,axiom,
( ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1849_4,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1850_0,axiom,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1850_1,axiom,
( ~ c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1850_2,axiom,
( ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1850_3,axiom,
( ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1850_4,axiom,
( hAPP(X5,X1) != hAPP(X5,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1851_0,axiom,
( c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1851_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1851_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1851_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1852_0,axiom,
( c_lessequals(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1852_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1852_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1852_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1853_0,axiom,
( c_lessequals(X4,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1853_1,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1853_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1853_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1854_0,axiom,
( c_lessequals(X2,X5,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1854_1,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1854_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1854_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1855_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X4),hAPP(X1,X5),X3),hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X2)),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1855]) ).
cnf(c_0_1855_1,axiom,
( ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X4),hAPP(X1,X5),X3),hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X2)),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1855]) ).
cnf(c_0_1855_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X4),hAPP(X1,X5),X3),hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X2)),X3)
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1855]) ).
cnf(c_0_1855_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X2)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X4),hAPP(X1,X5),X3),hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X5,X2)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1855]) ).
cnf(c_0_1856_0,axiom,
( c_lessequals(hAPP(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X2)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X4),hAPP(X1,X5),X3),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1856]) ).
cnf(c_0_1856_1,axiom,
( ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X2)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X4),hAPP(X1,X5),X3),X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1856]) ).
cnf(c_0_1856_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X2)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X4),hAPP(X1,X5),X3),X3)
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1856]) ).
cnf(c_0_1856_3,axiom,
( ~ class_Lattices_Olower__semilattice(X2)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X2)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,X4),hAPP(X1,X5),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1856]) ).
cnf(c_0_1857_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1857]) ).
cnf(c_0_1857_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1857]) ).
cnf(c_0_1858_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1858]) ).
cnf(c_0_1858_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1858]) ).
cnf(c_0_1859_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1859]) ).
cnf(c_0_1859_1,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1859]) ).
cnf(c_0_1859_2,axiom,
( ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
| X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1859]) ).
cnf(c_0_1860_0,axiom,
( hBOOL(hAPP(X1,X4))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1860]) ).
cnf(c_0_1860_1,axiom,
( hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1860]) ).
cnf(c_0_1860_2,axiom,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1860]) ).
cnf(c_0_1861_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1861]) ).
cnf(c_0_1861_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1861]) ).
cnf(c_0_1862_0,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X4,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1862]) ).
cnf(c_0_1862_1,axiom,
( c_lessequals(X4,X1,X3)
| c_lessequals(X2,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1862]) ).
cnf(c_0_1862_2,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1862]) ).
cnf(c_0_1862_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X1,X3)
| c_lessequals(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1862]) ).
cnf(c_0_1863_0,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X2,X5,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1863_1,axiom,
( c_lessequals(X2,X5,X3)
| c_lessequals(X2,X1,X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1863_2,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1863_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X5,X3)
| c_lessequals(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1864_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_1864]) ).
cnf(c_0_1864_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_1864]) ).
cnf(c_0_1865_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_1865]) ).
cnf(c_0_1865_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_1865]) ).
cnf(c_0_1866_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1866]) ).
cnf(c_0_1866_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1866]) ).
cnf(c_0_1866_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1866]) ).
cnf(c_0_1867_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1867]) ).
cnf(c_0_1867_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1867]) ).
cnf(c_0_1868_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1868]) ).
cnf(c_0_1868_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1868]) ).
cnf(c_0_1868_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1868]) ).
cnf(c_0_1868_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1868]) ).
cnf(c_0_1869_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1869]) ).
cnf(c_0_1869_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1869]) ).
cnf(c_0_1869_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1869]) ).
cnf(c_0_1869_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1869]) ).
cnf(c_0_1870_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1870]) ).
cnf(c_0_1870_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1870]) ).
cnf(c_0_1870_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1870]) ).
cnf(c_0_1871_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1871]) ).
cnf(c_0_1871_1,axiom,
( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1871]) ).
cnf(c_0_1871_2,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1871]) ).
cnf(c_0_1872_0,axiom,
( c_in(X4,X1,X3)
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1872_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1872_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1872_3,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1873_0,axiom,
( c_in(X2,X3,X4)
| c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1873_1,axiom,
( c_in(X2,X1,X4)
| c_in(X2,X3,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1873_2,axiom,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1873_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1874_0,axiom,
( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1874]) ).
cnf(c_0_1874_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1874]) ).
cnf(c_0_1875_0,axiom,
( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1875_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1876_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1876_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1876_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1877_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1877]) ).
cnf(c_0_1877_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1877]) ).
cnf(c_0_1877_2,axiom,
( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(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_1877]) ).
cnf(c_0_1878_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1878_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1878_2,axiom,
( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(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_1878]) ).
cnf(c_0_1879_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1879_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1879_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1880_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1880_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1880_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1881_0,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1881_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1881_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1881_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X5,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1882_0,axiom,
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X2,X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1882]) ).
cnf(c_0_1882_1,axiom,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X2,X1,X3)))
| c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1882]) ).
cnf(c_0_1883_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1883]) ).
cnf(c_0_1883_1,axiom,
( c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1883]) ).
cnf(c_0_1884_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1884]) ).
cnf(c_0_1884_1,axiom,
( c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1884]) ).
cnf(c_0_1885_0,axiom,
( c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1885]) ).
cnf(c_0_1885_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1885]) ).
cnf(c_0_1885_2,axiom,
( ~ c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1885]) ).
cnf(c_0_1886_0,axiom,
( c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1886]) ).
cnf(c_0_1886_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1886]) ).
cnf(c_0_1887_0,axiom,
( c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1887]) ).
cnf(c_0_1887_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1887]) ).
cnf(c_0_1888_0,axiom,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1888_1,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1888_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1888_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X3)
| c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1889_0,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1889]) ).
cnf(c_0_1889_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1889]) ).
cnf(c_0_1890_0,axiom,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1890]) ).
cnf(c_0_1890_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1890]) ).
cnf(c_0_1891_0,axiom,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1891]) ).
cnf(c_0_1891_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1891]) ).
cnf(c_0_1892_0,axiom,
( c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1892_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1893_0,axiom,
( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1893_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1893_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1894_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1894_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1895_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1895_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1896_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_Lattices_Odistrib__lattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1896_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1897_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Odistrib__lattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1897_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1898_0,axiom,
( c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1898_1,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1898_2,axiom,
( ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1899_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_1899]) ).
cnf(c_0_1899_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_1899]) ).
cnf(c_0_1899_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_1899]) ).
cnf(c_0_1900_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1900]) ).
cnf(c_0_1900_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1900]) ).
cnf(c_0_1901_0,axiom,
( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1901]) ).
cnf(c_0_1901_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1901]) ).
cnf(c_0_1902_0,axiom,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1902_1,axiom,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1902_2,axiom,
( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1903_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1903]) ).
cnf(c_0_1903_1,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1903]) ).
cnf(c_0_1903_2,axiom,
( ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1903]) ).
cnf(c_0_1904_0,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1904]) ).
cnf(c_0_1904_1,axiom,
( ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1904]) ).
cnf(c_0_1905_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1905_1,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1905_2,axiom,
( c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1905_3,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X4,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool))
| c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1906_0,axiom,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1906]) ).
cnf(c_0_1906_1,axiom,
( hBOOL(hAPP(X2,X4))
| X1 = X4
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1906]) ).
cnf(c_0_1906_2,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| hBOOL(hAPP(X2,X4))
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1906]) ).
cnf(c_0_1907_0,axiom,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1907]) ).
cnf(c_0_1907_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1907]) ).
cnf(c_0_1908_0,axiom,
( ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1908]) ).
cnf(c_0_1908_1,axiom,
( ~ c_in(X1,X3,X4)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1908]) ).
cnf(c_0_1909_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1909]) ).
cnf(c_0_1909_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1909]) ).
cnf(c_0_1909_2,axiom,
( ~ c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1909]) ).
cnf(c_0_1910_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1910]) ).
cnf(c_0_1910_1,axiom,
( ~ c_in(X1,X2,X3)
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1910]) ).
cnf(c_0_1910_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1910]) ).
cnf(c_0_1911_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1911]) ).
cnf(c_0_1911_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1911]) ).
cnf(c_0_1912_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1912]) ).
cnf(c_0_1912_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1912]) ).
cnf(c_0_1913_0,axiom,
( c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1913]) ).
cnf(c_0_1913_1,axiom,
( ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1913]) ).
cnf(c_0_1914_0,axiom,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1914]) ).
cnf(c_0_1914_1,axiom,
( ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1914]) ).
cnf(c_0_1915_0,axiom,
( c_in(X1,X2,X4)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1915]) ).
cnf(c_0_1915_1,axiom,
( ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1915]) ).
cnf(c_0_1916_0,axiom,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1916]) ).
cnf(c_0_1916_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1916]) ).
cnf(c_0_1916_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1916]) ).
cnf(c_0_1917_0,axiom,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1917]) ).
cnf(c_0_1917_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1917]) ).
cnf(c_0_1917_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1917]) ).
cnf(c_0_1918_0,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1918]) ).
cnf(c_0_1918_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1918]) ).
cnf(c_0_1919_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1919]) ).
cnf(c_0_1919_1,axiom,
( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1919]) ).
cnf(c_0_1919_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1919]) ).
cnf(c_0_1920_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1920]) ).
cnf(c_0_1920_1,axiom,
( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1920]) ).
cnf(c_0_1920_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1920]) ).
cnf(c_0_1921_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1921]) ).
cnf(c_0_1921_1,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1921]) ).
cnf(c_0_1921_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1921]) ).
cnf(c_0_1922_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1922]) ).
cnf(c_0_1922_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1922]) ).
cnf(c_0_1923_0,axiom,
( c_in(X1,X4,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1923]) ).
cnf(c_0_1923_1,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1923]) ).
cnf(c_0_1923_2,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1923]) ).
cnf(c_0_1924_0,axiom,
( c_in(X1,X4,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1924]) ).
cnf(c_0_1924_1,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1924]) ).
cnf(c_0_1924_2,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1924]) ).
cnf(c_0_1925_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1925]) ).
cnf(c_0_1925_1,axiom,
( ~ c_in(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1925]) ).
cnf(c_0_1926_0,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1926]) ).
cnf(c_0_1926_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1926]) ).
cnf(c_0_1927_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1927]) ).
cnf(c_0_1927_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1927]) ).
cnf(c_0_1928_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1928]) ).
cnf(c_0_1928_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1928]) ).
cnf(c_0_1929_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1929]) ).
cnf(c_0_1929_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1929]) ).
cnf(c_0_1929_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1929]) ).
cnf(c_0_1929_3,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1929]) ).
cnf(c_0_1930_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1930]) ).
cnf(c_0_1930_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1930]) ).
cnf(c_0_1930_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1930]) ).
cnf(c_0_1930_3,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1930]) ).
cnf(c_0_1931_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1931]) ).
cnf(c_0_1931_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1931]) ).
cnf(c_0_1931_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1931]) ).
cnf(c_0_1931_3,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1931]) ).
cnf(c_0_1932_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1932]) ).
cnf(c_0_1932_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1932]) ).
cnf(c_0_1932_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1932]) ).
cnf(c_0_1932_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1932]) ).
cnf(c_0_1933_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1933]) ).
cnf(c_0_1933_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1933]) ).
cnf(c_0_1933_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1933]) ).
cnf(c_0_1933_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1933]) ).
cnf(c_0_1934_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1934]) ).
cnf(c_0_1934_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1934]) ).
cnf(c_0_1934_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1934]) ).
cnf(c_0_1934_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1934]) ).
cnf(c_0_1935_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1935]) ).
cnf(c_0_1935_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(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_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1935]) ).
cnf(c_0_1936_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3)
| ~ c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1936]) ).
cnf(c_0_1936_1,axiom,
( ~ c_in(X4,X1,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1936]) ).
cnf(c_0_1936_2,axiom,
( ~ c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1936]) ).
cnf(c_0_1937_0,axiom,
( X1 = X2
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1937]) ).
cnf(c_0_1937_1,axiom,
( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1937]) ).
cnf(c_0_1938_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1938]) ).
cnf(c_0_1938_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1938]) ).
cnf(c_0_1939_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1939]) ).
cnf(c_0_1939_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X2),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1939]) ).
cnf(c_0_1940_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1940]) ).
cnf(c_0_1940_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1940]) ).
cnf(c_0_1941_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1941]) ).
cnf(c_0_1941_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1941]) ).
cnf(c_0_1942_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1942]) ).
cnf(c_0_1942_1,axiom,
( ~ class_Lattices_Olattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1942]) ).
cnf(c_0_1943_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1943]) ).
cnf(c_0_1943_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1943]) ).
cnf(c_0_1944_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_1944]) ).
cnf(c_0_1944_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_1944]) ).
cnf(c_0_1945_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_1945]) ).
cnf(c_0_1945_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_1945]) ).
cnf(c_0_1946_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_1946]) ).
cnf(c_0_1946_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_1946]) ).
cnf(c_0_1947_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_1947]) ).
cnf(c_0_1947_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_1947]) ).
cnf(c_0_1948_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1948]) ).
cnf(c_0_1948_1,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1948]) ).
cnf(c_0_1949_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1949]) ).
cnf(c_0_1949_1,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1949]) ).
cnf(c_0_1950_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1950]) ).
cnf(c_0_1950_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1950]) ).
cnf(c_0_1950_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1950]) ).
cnf(c_0_1951_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1951]) ).
cnf(c_0_1951_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1951]) ).
cnf(c_0_1951_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1951]) ).
cnf(c_0_1952_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1952]) ).
cnf(c_0_1952_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1952]) ).
cnf(c_0_1952_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1952]) ).
cnf(c_0_1953_0,axiom,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1953]) ).
cnf(c_0_1953_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1953]) ).
cnf(c_0_1953_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1953]) ).
cnf(c_0_1954_0,axiom,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3)))
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1954]) ).
cnf(c_0_1954_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1954]) ).
cnf(c_0_1955_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1955]) ).
cnf(c_0_1955_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1955]) ).
cnf(c_0_1955_2,axiom,
( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1955]) ).
cnf(c_0_1955_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1955]) ).
cnf(c_0_1956_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1956_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1956_2,axiom,
( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1956_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1957_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1957_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1957_2,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1957_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1958_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1958_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1958_2,axiom,
( c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1958_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1959_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1959]) ).
cnf(c_0_1959_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1959]) ).
cnf(c_0_1959_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1959]) ).
cnf(c_0_1960_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1960]) ).
cnf(c_0_1960_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1960]) ).
cnf(c_0_1960_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1960]) ).
cnf(c_0_1961_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1961]) ).
cnf(c_0_1961_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1961]) ).
cnf(c_0_1961_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatMost(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1961]) ).
cnf(c_0_1962_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1962]) ).
cnf(c_0_1962_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1962]) ).
cnf(c_0_1962_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1962]) ).
cnf(c_0_1963_0,axiom,
( c_in(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1963]) ).
cnf(c_0_1963_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1963]) ).
cnf(c_0_1964_0,axiom,
( c_in(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1964]) ).
cnf(c_0_1964_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1964]) ).
cnf(c_0_1965_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1965]) ).
cnf(c_0_1965_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1965]) ).
cnf(c_0_1965_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1965]) ).
cnf(c_0_1966_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1966]) ).
cnf(c_0_1966_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1966]) ).
cnf(c_0_1966_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1966]) ).
cnf(c_0_1967_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1967]) ).
cnf(c_0_1967_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1967]) ).
cnf(c_0_1967_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1967]) ).
cnf(c_0_1968_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1968]) ).
cnf(c_0_1968_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1968]) ).
cnf(c_0_1968_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1968]) ).
cnf(c_0_1969_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1969]) ).
cnf(c_0_1969_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1969]) ).
cnf(c_0_1969_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1969]) ).
cnf(c_0_1970_0,axiom,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1970]) ).
cnf(c_0_1970_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1970]) ).
cnf(c_0_1970_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1970]) ).
cnf(c_0_1971_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1971]) ).
cnf(c_0_1971_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1971]) ).
cnf(c_0_1971_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1971]) ).
cnf(c_0_1972_0,axiom,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1972]) ).
cnf(c_0_1972_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1972]) ).
cnf(c_0_1972_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1972]) ).
cnf(c_0_1973_0,axiom,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(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_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1973]) ).
cnf(c_0_1973_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1973]) ).
cnf(c_0_1974_0,axiom,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1974]) ).
cnf(c_0_1974_1,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1974]) ).
cnf(c_0_1974_2,axiom,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1974]) ).
cnf(c_0_1975_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1975]) ).
cnf(c_0_1975_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1975]) ).
cnf(c_0_1976_0,axiom,
( c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1976]) ).
cnf(c_0_1976_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1976]) ).
cnf(c_0_1976_2,axiom,
( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1976]) ).
cnf(c_0_1977_0,axiom,
( c_lessequals(X2,X1,tc_fun(X3,X4))
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1977]) ).
cnf(c_0_1977_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1977]) ).
cnf(c_0_1977_2,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1977]) ).
cnf(c_0_1977_3,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X2,X1,tc_fun(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1977]) ).
cnf(c_0_1978_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1978]) ).
cnf(c_0_1978_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1978]) ).
cnf(c_0_1979_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1979]) ).
cnf(c_0_1979_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1979]) ).
cnf(c_0_1980_0,axiom,
( c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| ~ c_lessequals(X4,X5,X2)
| ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1980]) ).
cnf(c_0_1980_1,axiom,
( ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3)
| ~ c_lessequals(X4,X5,X2)
| ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1980]) ).
cnf(c_0_1980_2,axiom,
( ~ c_lessequals(X4,X5,X2)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3)
| ~ class_Orderings_Oorder(X3)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1980]) ).
cnf(c_0_1980_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X2)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1980]) ).
cnf(c_0_1980_4,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X2)
| ~ c_Orderings_Oorder__class_Omono(X1,X2,X3)
| c_lessequals(hAPP(X1,X4),hAPP(X1,X5),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1980]) ).
cnf(c_0_1981_0,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1981]) ).
cnf(c_0_1981_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1981]) ).
cnf(c_0_1982_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1982]) ).
cnf(c_0_1982_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1982]) ).
cnf(c_0_1983_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1983]) ).
cnf(c_0_1983_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1983]) ).
cnf(c_0_1984_0,axiom,
( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1984]) ).
cnf(c_0_1984_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1984]) ).
cnf(c_0_1985_0,axiom,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1985]) ).
cnf(c_0_1985_1,axiom,
( c_in(X3,X1,X4)
| X1 = X2
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1985]) ).
cnf(c_0_1985_2,axiom,
( c_in(X3,X2,X4)
| c_in(X3,X1,X4)
| X1 = X2
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1985]) ).
cnf(c_0_1985_3,axiom,
( c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4)
| c_in(X3,X2,X4)
| c_in(X3,X1,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1985]) ).
cnf(c_0_1986_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1986]) ).
cnf(c_0_1986_1,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1986]) ).
cnf(c_0_1986_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1986]) ).
cnf(c_0_1987_0,axiom,
( c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1987]) ).
cnf(c_0_1987_1,axiom,
( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1987]) ).
cnf(c_0_1988_0,axiom,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1988]) ).
cnf(c_0_1988_1,axiom,
( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| c_Finite__Set_Ofinite(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1988]) ).
cnf(c_0_1989_0,axiom,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1989]) ).
cnf(c_0_1989_1,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1989]) ).
cnf(c_0_1989_2,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeast(X1,X2),c_SetInterval_Oord__class_OatLeast(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1989]) ).
cnf(c_0_1990_0,axiom,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1990]) ).
cnf(c_0_1990_1,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1990]) ).
cnf(c_0_1990_2,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatMost(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1990]) ).
cnf(c_0_1991_0,axiom,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1991]) ).
cnf(c_0_1991_1,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1991]) ).
cnf(c_0_1991_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X1,X2),c_SetInterval_Oord__class_OgreaterThan(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1991]) ).
cnf(c_0_1992_0,axiom,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1992]) ).
cnf(c_0_1992_1,axiom,
( ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1992]) ).
cnf(c_0_1992_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1992]) ).
cnf(c_0_1993_0,axiom,
( c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1993]) ).
cnf(c_0_1993_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1993]) ).
cnf(c_0_1993_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1993]) ).
cnf(c_0_1994_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1994]) ).
cnf(c_0_1994_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1994]) ).
cnf(c_0_1994_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1994]) ).
cnf(c_0_1995_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1995]) ).
cnf(c_0_1995_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1995]) ).
cnf(c_0_1995_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1995]) ).
cnf(c_0_1996_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1996]) ).
cnf(c_0_1996_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1996]) ).
cnf(c_0_1996_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1996]) ).
cnf(c_0_1997_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1997_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1997_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1998_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1998]) ).
cnf(c_0_1998_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1998]) ).
cnf(c_0_1999_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1999]) ).
cnf(c_0_1999_1,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1999]) ).
cnf(c_0_1999_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1999]) ).
cnf(c_0_2000_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2000]) ).
cnf(c_0_2000_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2000]) ).
cnf(c_0_2000_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2000]) ).
cnf(c_0_2001_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2001]) ).
cnf(c_0_2001_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2001]) ).
cnf(c_0_2001_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2001]) ).
cnf(c_0_2002_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2002]) ).
cnf(c_0_2002_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2002]) ).
cnf(c_0_2002_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2002]) ).
cnf(c_0_2003_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2003]) ).
cnf(c_0_2003_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2003]) ).
cnf(c_0_2003_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2003]) ).
cnf(c_0_2004_0,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2004]) ).
cnf(c_0_2004_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2004]) ).
cnf(c_0_2004_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2004]) ).
cnf(c_0_2005_0,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2005]) ).
cnf(c_0_2005_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2005]) ).
cnf(c_0_2005_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2005]) ).
cnf(c_0_2006_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2006]) ).
cnf(c_0_2006_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2006]) ).
cnf(c_0_2006_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2006]) ).
cnf(c_0_2007_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2007]) ).
cnf(c_0_2007_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2007]) ).
cnf(c_0_2007_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2007]) ).
cnf(c_0_2008_0,axiom,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2008]) ).
cnf(c_0_2008_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2008]) ).
cnf(c_0_2009_0,axiom,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2009]) ).
cnf(c_0_2009_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2009]) ).
cnf(c_0_2010_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2010]) ).
cnf(c_0_2010_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2010]) ).
cnf(c_0_2010_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2010]) ).
cnf(c_0_2011_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2011]) ).
cnf(c_0_2011_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2011]) ).
cnf(c_0_2011_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2011]) ).
cnf(c_0_2012_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2012]) ).
cnf(c_0_2012_1,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeast(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2012]) ).
cnf(c_0_2013_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2013]) ).
cnf(c_0_2013_1,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OgreaterThan(X2,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2013]) ).
cnf(c_0_2014_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2014]) ).
cnf(c_0_2014_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2014]) ).
cnf(c_0_2015_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2015]) ).
cnf(c_0_2015_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2015]) ).
cnf(c_0_2016_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2016]) ).
cnf(c_0_2016_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatMost(X1,X2),c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2016]) ).
cnf(c_0_2017_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2017]) ).
cnf(c_0_2017_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2017]) ).
cnf(c_0_2018_0,axiom,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2018]) ).
cnf(c_0_2018_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2018]) ).
cnf(c_0_2018_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2018]) ).
cnf(c_0_2019_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2019]) ).
cnf(c_0_2019_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2019]) ).
cnf(c_0_2019_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2019]) ).
cnf(c_0_2019_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2019]) ).
cnf(c_0_2020_0,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2020]) ).
cnf(c_0_2020_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2020]) ).
cnf(c_0_2020_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2020]) ).
cnf(c_0_2020_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2020]) ).
cnf(c_0_2021_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2021]) ).
cnf(c_0_2021_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2021]) ).
cnf(c_0_2021_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2021]) ).
cnf(c_0_2021_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2021]) ).
cnf(c_0_2022_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2022]) ).
cnf(c_0_2022_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2022]) ).
cnf(c_0_2022_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2022]) ).
cnf(c_0_2022_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2022]) ).
cnf(c_0_2023_0,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2023]) ).
cnf(c_0_2023_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2023]) ).
cnf(c_0_2023_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2023]) ).
cnf(c_0_2023_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2023]) ).
cnf(c_0_2024_0,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2024]) ).
cnf(c_0_2024_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2024]) ).
cnf(c_0_2024_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2024]) ).
cnf(c_0_2024_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2024]) ).
cnf(c_0_2025_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2025]) ).
cnf(c_0_2025_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2025]) ).
cnf(c_0_2025_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2025]) ).
cnf(c_0_2025_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2025]) ).
cnf(c_0_2026_0,axiom,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2026]) ).
cnf(c_0_2026_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2026]) ).
cnf(c_0_2026_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2026]) ).
cnf(c_0_2026_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2026]) ).
cnf(c_0_2027_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2027]) ).
cnf(c_0_2027_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2027]) ).
cnf(c_0_2028_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2028]) ).
cnf(c_0_2028_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2028]) ).
cnf(c_0_2029_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2029]) ).
cnf(c_0_2029_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2029]) ).
cnf(c_0_2030_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2030]) ).
cnf(c_0_2030_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2030]) ).
cnf(c_0_2031_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2031]) ).
cnf(c_0_2031_1,axiom,
( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2031]) ).
cnf(c_0_2032_0,axiom,
( c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2032]) ).
cnf(c_0_2032_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2032]) ).
cnf(c_0_2032_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2032]) ).
cnf(c_0_2033_0,axiom,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2033]) ).
cnf(c_0_2033_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_lessequals(X3,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2033]) ).
cnf(c_0_2033_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_lessequals(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2033]) ).
cnf(c_0_2034_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2034]) ).
cnf(c_0_2034_1,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2034]) ).
cnf(c_0_2034_2,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2034]) ).
cnf(c_0_2035_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2035]) ).
cnf(c_0_2035_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2035]) ).
cnf(c_0_2035_2,axiom,
( ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2035]) ).
cnf(c_0_2036_0,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2036]) ).
cnf(c_0_2036_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2036]) ).
cnf(c_0_2036_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatLeast(X2,X3),c_SetInterval_Oord__class_OatLeast(X1,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2036]) ).
cnf(c_0_2037_0,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2037]) ).
cnf(c_0_2037_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2037]) ).
cnf(c_0_2037_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OatMost(X1,X3),c_SetInterval_Oord__class_OatMost(X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2037]) ).
cnf(c_0_2038_0,axiom,
( c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2038]) ).
cnf(c_0_2038_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2038]) ).
cnf(c_0_2038_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OgreaterThan(X2,X3),c_SetInterval_Oord__class_OgreaterThan(X1,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2038]) ).
cnf(c_0_2039_0,axiom,
( c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2039]) ).
cnf(c_0_2039_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2039]) ).
cnf(c_0_2039_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2039]) ).
cnf(c_0_2040_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2040]) ).
cnf(c_0_2040_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2040]) ).
cnf(c_0_2041_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2041]) ).
cnf(c_0_2041_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2041]) ).
cnf(c_0_2042_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_2042]) ).
cnf(c_0_2042_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_2042]) ).
cnf(c_0_2043_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_2043]) ).
cnf(c_0_2043_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_2043]) ).
cnf(c_0_2044_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2044_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2044_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2045_0,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2045]) ).
cnf(c_0_2045_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2045]) ).
cnf(c_0_2045_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2045]) ).
cnf(c_0_2046_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2046]) ).
cnf(c_0_2046_1,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2046]) ).
cnf(c_0_2046_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2046]) ).
cnf(c_0_2047_0,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2047]) ).
cnf(c_0_2047_1,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2047]) ).
cnf(c_0_2047_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2047]) ).
cnf(c_0_2048_0,axiom,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ hBOOL(hAPP(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2048]) ).
cnf(c_0_2048_1,axiom,
( ~ hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2048]) ).
cnf(c_0_2049_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2049]) ).
cnf(c_0_2049_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2049]) ).
cnf(c_0_2049_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2049]) ).
cnf(c_0_2050_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2050]) ).
cnf(c_0_2050_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2050]) ).
cnf(c_0_2050_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2050]) ).
cnf(c_0_2051_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2051]) ).
cnf(c_0_2051_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2051]) ).
cnf(c_0_2051_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2051]) ).
cnf(c_0_2052_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2052]) ).
cnf(c_0_2052_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2052]) ).
cnf(c_0_2052_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2052]) ).
cnf(c_0_2053_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2053]) ).
cnf(c_0_2053_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2053]) ).
cnf(c_0_2053_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2053]) ).
cnf(c_0_2054_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2054]) ).
cnf(c_0_2054_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2054]) ).
cnf(c_0_2054_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2054]) ).
cnf(c_0_2055_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2055]) ).
cnf(c_0_2055_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2055]) ).
cnf(c_0_2055_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2055]) ).
cnf(c_0_2056_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2056]) ).
cnf(c_0_2056_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2056]) ).
cnf(c_0_2056_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2056]) ).
cnf(c_0_2057_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2057]) ).
cnf(c_0_2057_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2057]) ).
cnf(c_0_2057_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X1,X2,tc_fun(X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2057]) ).
cnf(c_0_2058_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2058]) ).
cnf(c_0_2058_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2058]) ).
cnf(c_0_2058_2,axiom,
( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2058]) ).
cnf(c_0_2059_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2059]) ).
cnf(c_0_2059_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2059]) ).
cnf(c_0_2059_2,axiom,
( ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2059]) ).
cnf(c_0_2060_0,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2060]) ).
cnf(c_0_2060_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2060]) ).
cnf(c_0_2060_2,axiom,
( ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2060]) ).
cnf(c_0_2061_0,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2061]) ).
cnf(c_0_2061_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2061]) ).
cnf(c_0_2061_2,axiom,
( ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2061]) ).
cnf(c_0_2062_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2062]) ).
cnf(c_0_2062_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2062]) ).
cnf(c_0_2062_2,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2062]) ).
cnf(c_0_2062_3,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2062]) ).
cnf(c_0_2063_0,axiom,
( c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2063]) ).
cnf(c_0_2063_1,axiom,
( ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
| c_Finite__Set_Ofinite(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2063]) ).
cnf(c_0_2064_0,axiom,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2064_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2064_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2064_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2065_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2065]) ).
cnf(c_0_2065_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2065]) ).
cnf(c_0_2065_2,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2065]) ).
cnf(c_0_2066_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2066]) ).
cnf(c_0_2066_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2066]) ).
cnf(c_0_2066_2,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2066]) ).
cnf(c_0_2067_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2067]) ).
cnf(c_0_2067_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2067]) ).
cnf(c_0_2068_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2068]) ).
cnf(c_0_2068_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2068]) ).
cnf(c_0_2069_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2069]) ).
cnf(c_0_2069_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2069]) ).
cnf(c_0_2070_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2070]) ).
cnf(c_0_2070_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2070]) ).
cnf(c_0_2071_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2071]) ).
cnf(c_0_2071_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2071]) ).
cnf(c_0_2072_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_2,axiom,
( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2073_0,axiom,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2073]) ).
cnf(c_0_2073_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2073]) ).
cnf(c_0_2073_2,axiom,
( ~ hBOOL(hAPP(X1,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2073]) ).
cnf(c_0_2074_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2074]) ).
cnf(c_0_2074_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2074]) ).
cnf(c_0_2074_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2074]) ).
cnf(c_0_2075_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2075]) ).
cnf(c_0_2075_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2075]) ).
cnf(c_0_2075_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2075]) ).
cnf(c_0_2076_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2076]) ).
cnf(c_0_2076_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2076]) ).
cnf(c_0_2077_0,axiom,
( hBOOL(hAPP(X3,X1))
| ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2077]) ).
cnf(c_0_2077_1,axiom,
( ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| hBOOL(hAPP(X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2077]) ).
cnf(c_0_2078_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2078]) ).
cnf(c_0_2078_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2078]) ).
cnf(c_0_2079_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2079]) ).
cnf(c_0_2079_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2079]) ).
cnf(c_0_2080_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2080]) ).
cnf(c_0_2080_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2080]) ).
cnf(c_0_2081_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2081]) ).
cnf(c_0_2081_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2081]) ).
cnf(c_0_2082_0,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2082]) ).
cnf(c_0_2082_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2082]) ).
cnf(c_0_2083_0,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2083]) ).
cnf(c_0_2083_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2083]) ).
cnf(c_0_2084_0,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OgreaterThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2084]) ).
cnf(c_0_2084_1,axiom,
( ~ c_in(X1,c_SetInterval_Oord__class_OgreaterThan(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2084]) ).
cnf(c_0_2084_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OgreaterThan(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2084]) ).
cnf(c_0_2085_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2085]) ).
cnf(c_0_2085_1,axiom,
( ~ c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2085]) ).
cnf(c_0_2085_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2085]) ).
cnf(c_0_2086_0,axiom,
( c_lessequals(X2,X1,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatLeast(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2086]) ).
cnf(c_0_2086_1,axiom,
( ~ c_in(X1,c_SetInterval_Oord__class_OatLeast(X2,X3),X3)
| c_lessequals(X2,X1,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2086]) ).
cnf(c_0_2086_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatLeast(X2,X3),X3)
| c_lessequals(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2086]) ).
cnf(c_0_2087_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2087]) ).
cnf(c_0_2087_1,axiom,
( ~ c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2087]) ).
cnf(c_0_2087_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2087]) ).
cnf(c_0_2088_0,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2088]) ).
cnf(c_0_2088_1,axiom,
( c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2088]) ).
cnf(c_0_2089_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2089]) ).
cnf(c_0_2089_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2089]) ).
cnf(c_0_2090_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2090_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2090_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2090_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2091_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2091_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2091_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2091_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2092_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2092_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2092_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2092_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2093_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2093]) ).
cnf(c_0_2093_1,axiom,
( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2093]) ).
cnf(c_0_2094_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2094]) ).
cnf(c_0_2094_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2094]) ).
cnf(c_0_2094_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2094]) ).
cnf(c_0_2095_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2095]) ).
cnf(c_0_2095_1,axiom,
( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2095]) ).
cnf(c_0_2095_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2095]) ).
cnf(c_0_2096_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2096]) ).
cnf(c_0_2096_1,axiom,
( ~ c_lessequals(X1,X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2096]) ).
cnf(c_0_2096_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2096]) ).
cnf(c_0_2097_0,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2097]) ).
cnf(c_0_2097_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2097]) ).
cnf(c_0_2097_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2097]) ).
cnf(c_0_2098_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2098]) ).
cnf(c_0_2098_1,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2098]) ).
cnf(c_0_2098_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2098]) ).
cnf(c_0_2099_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2099]) ).
cnf(c_0_2099_1,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2099]) ).
cnf(c_0_2099_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2099]) ).
cnf(c_0_2100_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2100]) ).
cnf(c_0_2100_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2100]) ).
cnf(c_0_2100_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2100]) ).
cnf(c_0_2101_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2101]) ).
cnf(c_0_2101_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2101]) ).
cnf(c_0_2101_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2101]) ).
cnf(c_0_2102_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2102]) ).
cnf(c_0_2102_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2102]) ).
cnf(c_0_2102_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2102]) ).
cnf(c_0_2103_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2103]) ).
cnf(c_0_2103_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2103]) ).
cnf(c_0_2103_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2103]) ).
cnf(c_0_2104_0,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2104]) ).
cnf(c_0_2104_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2104]) ).
cnf(c_0_2104_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2104]) ).
cnf(c_0_2105_0,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2105]) ).
cnf(c_0_2105_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2105]) ).
cnf(c_0_2105_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2105]) ).
cnf(c_0_2106_0,axiom,
( c_in(X2,c_SetInterval_Oord__class_OgreaterThan(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2106]) ).
cnf(c_0_2106_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_in(X2,c_SetInterval_Oord__class_OgreaterThan(X1,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2106]) ).
cnf(c_0_2106_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_in(X2,c_SetInterval_Oord__class_OgreaterThan(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2106]) ).
cnf(c_0_2107_0,axiom,
( c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2107]) ).
cnf(c_0_2107_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2107]) ).
cnf(c_0_2107_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2107]) ).
cnf(c_0_2108_0,axiom,
( c_in(X2,c_SetInterval_Oord__class_OatLeast(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2108]) ).
cnf(c_0_2108_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_in(X2,c_SetInterval_Oord__class_OatLeast(X1,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2108]) ).
cnf(c_0_2108_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_lessequals(X1,X2,X3)
| c_in(X2,c_SetInterval_Oord__class_OatLeast(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2108]) ).
cnf(c_0_2109_0,axiom,
( c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2109]) ).
cnf(c_0_2109_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3)
| ~ class_HOL_Oord(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2109]) ).
cnf(c_0_2109_2,axiom,
( ~ class_HOL_Oord(X3)
| ~ c_lessequals(X1,X2,X3)
| c_in(X1,c_SetInterval_Oord__class_OatMost(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2109]) ).
cnf(c_0_2110_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2110]) ).
cnf(c_0_2110_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2110]) ).
cnf(c_0_2111_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2111]) ).
cnf(c_0_2111_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2111]) ).
cnf(c_0_2112_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2112]) ).
cnf(c_0_2112_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2112]) ).
cnf(c_0_2113_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2113]) ).
cnf(c_0_2113_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2113]) ).
cnf(c_0_2114_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2114]) ).
cnf(c_0_2114_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2114]) ).
cnf(c_0_2115_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2115]) ).
cnf(c_0_2115_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2115]) ).
cnf(c_0_2116_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2116]) ).
cnf(c_0_2116_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2116]) ).
cnf(c_0_2117_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2117]) ).
cnf(c_0_2117_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2117]) ).
cnf(c_0_2118_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2118]) ).
cnf(c_0_2118_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2118]) ).
cnf(c_0_2119_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2119]) ).
cnf(c_0_2119_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2119]) ).
cnf(c_0_2120_0,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2120]) ).
cnf(c_0_2120_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X1,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2120]) ).
cnf(c_0_2121_0,axiom,
( c_Finite__Set_Ofinite(X3,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2121]) ).
cnf(c_0_2121_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(X3,X2)
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2121]) ).
cnf(c_0_2121_2,axiom,
( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2121]) ).
cnf(c_0_2122_0,axiom,
( c_Finite__Set_Ofinite(X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2122]) ).
cnf(c_0_2122_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2122]) ).
cnf(c_0_2122_2,axiom,
( ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2122]) ).
cnf(c_0_2123_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2123]) ).
cnf(c_0_2123_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2123]) ).
cnf(c_0_2123_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2123]) ).
cnf(c_0_2123_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2123]) ).
cnf(c_0_2124_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2124]) ).
cnf(c_0_2124_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2124]) ).
cnf(c_0_2124_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2124]) ).
cnf(c_0_2124_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2124]) ).
cnf(c_0_2125_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2125]) ).
cnf(c_0_2125_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2125]) ).
cnf(c_0_2125_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2125]) ).
cnf(c_0_2125_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2125]) ).
cnf(c_0_2126_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2126]) ).
cnf(c_0_2126_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2126]) ).
cnf(c_0_2126_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2126]) ).
cnf(c_0_2126_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2126]) ).
cnf(c_0_2127_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2127]) ).
cnf(c_0_2127_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2127]) ).
cnf(c_0_2127_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2127]) ).
cnf(c_0_2127_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2127]) ).
cnf(c_0_2128_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2128]) ).
cnf(c_0_2128_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2128]) ).
cnf(c_0_2128_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2128]) ).
cnf(c_0_2128_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2128]) ).
cnf(c_0_2129_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2129]) ).
cnf(c_0_2129_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2129]) ).
cnf(c_0_2129_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2129]) ).
cnf(c_0_2129_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2129]) ).
cnf(c_0_2130_0,axiom,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2130]) ).
cnf(c_0_2130_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2130]) ).
cnf(c_0_2130_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2130]) ).
cnf(c_0_2130_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2130]) ).
cnf(c_0_2131_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2131]) ).
cnf(c_0_2131_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2131]) ).
cnf(c_0_2131_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2131]) ).
cnf(c_0_2132_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2132]) ).
cnf(c_0_2132_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2132]) ).
cnf(c_0_2132_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2132]) ).
cnf(c_0_2133_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2133]) ).
cnf(c_0_2133_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2133]) ).
cnf(c_0_2133_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2133]) ).
cnf(c_0_2134_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2134]) ).
cnf(c_0_2134_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2134]) ).
cnf(c_0_2134_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2134]) ).
cnf(c_0_2135_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2135]) ).
cnf(c_0_2135_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2135]) ).
cnf(c_0_2135_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2135]) ).
cnf(c_0_2136_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2136]) ).
cnf(c_0_2136_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2136]) ).
cnf(c_0_2136_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2136]) ).
cnf(c_0_2137_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2137]) ).
cnf(c_0_2137_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2137]) ).
cnf(c_0_2137_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2137]) ).
cnf(c_0_2138_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2138]) ).
cnf(c_0_2138_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2138]) ).
cnf(c_0_2138_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2138]) ).
cnf(c_0_2139_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2139]) ).
cnf(c_0_2139_1,axiom,
( ~ c_Finite__Set_Ofinite(X1,X2)
| c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2139]) ).
cnf(c_0_2140_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2140]) ).
cnf(c_0_2140_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2140]) ).
cnf(c_0_2140_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2140]) ).
cnf(c_0_2141_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2141]) ).
cnf(c_0_2141_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2141]) ).
cnf(c_0_2141_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2141]) ).
cnf(c_0_2142_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2142]) ).
cnf(c_0_2142_1,axiom,
( c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2142]) ).
cnf(c_0_2142_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2142]) ).
cnf(c_0_2143_0,axiom,
( c_lessequals(X1,X2,X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2143]) ).
cnf(c_0_2143_1,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2143]) ).
cnf(c_0_2143_2,axiom,
( ~ class_Orderings_Oorder(X3)
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2143]) ).
cnf(c_0_2144_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2144]) ).
cnf(c_0_2144_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2144]) ).
cnf(c_0_2145_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2145]) ).
cnf(c_0_2145_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2145]) ).
cnf(c_0_2146_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2146]) ).
cnf(c_0_2146_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2146]) ).
cnf(c_0_2146_2,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2146]) ).
cnf(c_0_2146_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2146]) ).
cnf(c_0_2147_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2147]) ).
cnf(c_0_2147_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2147]) ).
cnf(c_0_2147_2,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2147]) ).
cnf(c_0_2147_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2147]) ).
cnf(c_0_2148_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2148]) ).
cnf(c_0_2148_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2148]) ).
cnf(c_0_2148_2,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2148]) ).
cnf(c_0_2148_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2148]) ).
cnf(c_0_2149_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2149]) ).
cnf(c_0_2149_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2149]) ).
cnf(c_0_2149_2,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2149]) ).
cnf(c_0_2149_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2149]) ).
cnf(c_0_2150_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2150]) ).
cnf(c_0_2150_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2150]) ).
cnf(c_0_2150_2,axiom,
( X2 = X1
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2150]) ).
cnf(c_0_2150_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| X2 = X1
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2150]) ).
cnf(c_0_2151_0,axiom,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2151]) ).
cnf(c_0_2151_1,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2151]) ).
cnf(c_0_2152_0,axiom,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2152]) ).
cnf(c_0_2152_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2152]) ).
cnf(c_0_2152_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2152]) ).
cnf(c_0_2153_0,axiom,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2153]) ).
cnf(c_0_2153_1,axiom,
( c_HOL_Oord__class_Oless(X1,X1,X2)
| c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2153]) ).
cnf(c_0_2153_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2153]) ).
cnf(c_0_2154_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2154]) ).
cnf(c_0_2154_1,axiom,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2154]) ).
cnf(c_0_2154_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2154]) ).
cnf(c_0_2155_0,axiom,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2155]) ).
cnf(c_0_2155_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2155]) ).
cnf(c_0_2155_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2155]) ).
cnf(c_0_2156_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2156]) ).
cnf(c_0_2156_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2156]) ).
cnf(c_0_2156_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2156]) ).
cnf(c_0_2157_0,axiom,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2157]) ).
cnf(c_0_2157_1,axiom,
( ~ c_in(X1,X2,X3)
| hBOOL(hAPP(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2157]) ).
cnf(c_0_2158_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_2158]) ).
cnf(c_0_2158_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_2158]) ).
cnf(c_0_2159_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_2159]) ).
cnf(c_0_2159_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_2159]) ).
cnf(c_0_2160_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2160]) ).
cnf(c_0_2160_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2160]) ).
cnf(c_0_2161_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2161]) ).
cnf(c_0_2161_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2161]) ).
cnf(c_0_2162_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2162]) ).
cnf(c_0_2162_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| X1 = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2162]) ).
cnf(c_0_2162_2,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
| X1 = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2162]) ).
cnf(c_0_2163_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2163]) ).
cnf(c_0_2163_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
| X1 = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2163]) ).
cnf(c_0_2163_2,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
| X1 = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2163]) ).
cnf(c_0_2164_0,axiom,
( X1 = c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2164]) ).
cnf(c_0_2164_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
| X1 = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2164]) ).
cnf(c_0_2164_2,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
| X1 = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2164]) ).
cnf(c_0_2165_0,axiom,
( X1 = c_Orderings_Otop__class_Otop(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2165]) ).
cnf(c_0_2165_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| X1 = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2165]) ).
cnf(c_0_2165_2,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
| X1 = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2165]) ).
cnf(c_0_2166_0,axiom,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2166]) ).
cnf(c_0_2166_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2166]) ).
cnf(c_0_2167_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2167]) ).
cnf(c_0_2167_1,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2167]) ).
cnf(c_0_2168_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2168]) ).
cnf(c_0_2168_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2168]) ).
cnf(c_0_2169_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2169]) ).
cnf(c_0_2169_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2169]) ).
cnf(c_0_2170_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2170]) ).
cnf(c_0_2170_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2170]) ).
cnf(c_0_2171_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2171]) ).
cnf(c_0_2171_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2171]) ).
cnf(c_0_2172_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2172]) ).
cnf(c_0_2172_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2172]) ).
cnf(c_0_2173_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2173]) ).
cnf(c_0_2173_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2173]) ).
cnf(c_0_2174_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2174]) ).
cnf(c_0_2174_1,axiom,
( ~ c_fequal(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2174]) ).
cnf(c_0_2175_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2175]) ).
cnf(c_0_2175_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatLeast(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2175]) ).
cnf(c_0_2176_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2176]) ).
cnf(c_0_2176_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatLeast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2176]) ).
cnf(c_0_2177_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2177]) ).
cnf(c_0_2177_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OatMost(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OgreaterThan(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2177]) ).
cnf(c_0_2178_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2178]) ).
cnf(c_0_2178_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_HOL_Ouminus__class_Ouminus(c_SetInterval_Oord__class_OgreaterThan(X1,X2),tc_fun(X2,tc_bool)) = c_SetInterval_Oord__class_OatMost(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2178]) ).
cnf(c_0_2179_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2179]) ).
cnf(c_0_2179_1,axiom,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_2179]) ).
cnf(c_0_2180_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2180]) ).
cnf(c_0_2180_1,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2180]) ).
cnf(c_0_2181_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2181]) ).
cnf(c_0_2181_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2181]) ).
cnf(c_0_2182_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2182]) ).
cnf(c_0_2182_1,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2182]) ).
cnf(c_0_2183_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2183]) ).
cnf(c_0_2183_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2183]) ).
cnf(c_0_2184_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2184]) ).
cnf(c_0_2184_1,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2184]) ).
cnf(c_0_2185_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2185]) ).
cnf(c_0_2185_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2185]) ).
cnf(c_0_2186_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2186]) ).
cnf(c_0_2186_1,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2186]) ).
cnf(c_0_2187_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2187]) ).
cnf(c_0_2187_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2187]) ).
cnf(c_0_2188_0,axiom,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2188]) ).
cnf(c_0_2188_1,axiom,
( ~ class_Orderings_Otop(X2)
| c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2188]) ).
cnf(c_0_2189_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2189]) ).
cnf(c_0_2189_1,axiom,
( ~ class_Orderings_Obot(X1)
| c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2189]) ).
cnf(c_0_2190_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2190]) ).
cnf(c_0_2190_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2190]) ).
cnf(c_0_2191_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2191]) ).
cnf(c_0_2191_1,axiom,
( ~ class_Lattices_Olower__semilattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2191]) ).
cnf(c_0_2192_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2192]) ).
cnf(c_0_2192_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2192]) ).
cnf(c_0_2193_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2193]) ).
cnf(c_0_2193_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2193]) ).
cnf(c_0_2194_0,axiom,
( X1 = X2
| c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2194]) ).
cnf(c_0_2194_1,axiom,
( c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2194]) ).
cnf(c_0_2194_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2194]) ).
cnf(c_0_2195_0,axiom,
( X1 = X2
| c_SetInterval_Oord__class_OgreaterThan(X1,X3) != c_SetInterval_Oord__class_OgreaterThan(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2195]) ).
cnf(c_0_2195_1,axiom,
( c_SetInterval_Oord__class_OgreaterThan(X1,X3) != c_SetInterval_Oord__class_OgreaterThan(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2195]) ).
cnf(c_0_2195_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OgreaterThan(X1,X3) != c_SetInterval_Oord__class_OgreaterThan(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2195]) ).
cnf(c_0_2196_0,axiom,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2196]) ).
cnf(c_0_2196_1,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2196]) ).
cnf(c_0_2196_2,axiom,
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2196]) ).
cnf(c_0_2197_0,axiom,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2197]) ).
cnf(c_0_2197_1,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2197]) ).
cnf(c_0_2197_2,axiom,
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2197]) ).
cnf(c_0_2198_0,axiom,
( X1 = X2
| c_SetInterval_Oord__class_OatLeast(X1,X3) != c_SetInterval_Oord__class_OatLeast(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2198]) ).
cnf(c_0_2198_1,axiom,
( c_SetInterval_Oord__class_OatLeast(X1,X3) != c_SetInterval_Oord__class_OatLeast(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2198]) ).
cnf(c_0_2198_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OatLeast(X1,X3) != c_SetInterval_Oord__class_OatLeast(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2198]) ).
cnf(c_0_2199_0,axiom,
( X1 = X2
| c_SetInterval_Oord__class_OatMost(X1,X3) != c_SetInterval_Oord__class_OatMost(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2199]) ).
cnf(c_0_2199_1,axiom,
( c_SetInterval_Oord__class_OatMost(X1,X3) != c_SetInterval_Oord__class_OatMost(X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2199]) ).
cnf(c_0_2199_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_SetInterval_Oord__class_OatMost(X1,X3) != c_SetInterval_Oord__class_OatMost(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2199]) ).
cnf(c_0_2200_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2200]) ).
cnf(c_0_2200_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2200]) ).
cnf(c_0_2201_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2201]) ).
cnf(c_0_2201_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2201]) ).
cnf(c_0_2202_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2202]) ).
cnf(c_0_2202_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2202]) ).
cnf(c_0_2203_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2203]) ).
cnf(c_0_2203_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2203]) ).
cnf(c_0_2204_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2204]) ).
cnf(c_0_2204_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2204]) ).
cnf(c_0_2205_0,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2205]) ).
cnf(c_0_2205_1,axiom,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2205]) ).
cnf(c_0_2205_2,axiom,
( ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2205]) ).
cnf(c_0_2206_0,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2206]) ).
cnf(c_0_2206_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2206]) ).
cnf(c_0_2207_0,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2207]) ).
cnf(c_0_2207_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olower__semilattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2207]) ).
cnf(c_0_2208_0,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2208]) ).
cnf(c_0_2208_1,axiom,
( ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2208]) ).
cnf(c_0_2209_0,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2209]) ).
cnf(c_0_2209_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2209]) ).
cnf(c_0_2210_0,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2210]) ).
cnf(c_0_2210_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2210]) ).
cnf(c_0_2211_0,axiom,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2211]) ).
cnf(c_0_2211_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2211]) ).
cnf(c_0_2212_0,axiom,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2212]) ).
cnf(c_0_2212_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2212]) ).
cnf(c_0_2213_0,axiom,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2213]) ).
cnf(c_0_2213_1,axiom,
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2213]) ).
cnf(c_0_2214_0,axiom,
( class_Orderings_Otop(tc_fun(X2,X1))
| ~ class_Orderings_Otop(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2214]) ).
cnf(c_0_2214_1,axiom,
( ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2214]) ).
cnf(c_0_2215_0,axiom,
( class_Orderings_Obot(tc_fun(X2,X1))
| ~ class_Orderings_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2215]) ).
cnf(c_0_2215_1,axiom,
( ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2215]) ).
cnf(c_0_2216_0,axiom,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2216]) ).
cnf(c_0_2216_1,axiom,
( ~ class_HOL_Oord(X1)
| class_HOL_Oord(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2216]) ).
cnf(c_0_2217_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2217]) ).
cnf(c_0_2217_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2217]) ).
cnf(c_0_2218_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2218]) ).
cnf(c_0_2218_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2218]) ).
cnf(c_0_2219_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2219]) ).
cnf(c_0_2219_1,axiom,
( ~ class_Finite__Set_Ofinite_Ofinite(X2)
| c_Finite__Set_Ofinite(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2219]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_621,negated_conjecture,
! [X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X1,v_tsa,t_a)
| ~ c_lessequals(v_G_Ha,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
file('<stdin>',cls_conjecture_5) ).
fof(c_0_1_622,negated_conjecture,
c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_2_623,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('<stdin>',cls_conjecture_4) ).
fof(c_0_3_624,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_4_625,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_G_Ha,t_a),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_5_626,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_6_627,negated_conjecture,
! [X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X1,v_tsa,t_a)
| ~ c_lessequals(v_G_Ha,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_7_628,negated_conjecture,
c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
c_0_1 ).
fof(c_0_8_629,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_9_630,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
c_0_3 ).
fof(c_0_10_631,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_G_Ha,t_a),
c_0_4 ).
fof(c_0_11_632,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
c_0_5 ).
fof(c_0_12_633,negated_conjecture,
! [X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,v_tsa,t_a)
| ~ c_lessequals(v_G_Ha,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_13_634,negated_conjecture,
c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
c_0_7 ).
fof(c_0_14_635,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
c_0_8 ).
fof(c_0_15_636,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
c_0_9 ).
fof(c_0_16_637,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_G_Ha,t_a),
c_0_10 ).
fof(c_0_17_638,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
c_0_11 ).
cnf(c_0_18_639,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,v_tsa,t_a)
| ~ c_lessequals(v_G_Ha,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19_640,negated_conjecture,
c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20_641,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21_642,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22_643,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_G_Ha,t_a),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23_644,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24_645,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,v_tsa,t_a)
| ~ c_lessequals(v_G_Ha,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
c_0_18,
[final] ).
cnf(c_0_25_646,negated_conjecture,
c_lessequals(v_G,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
c_0_19,
[final] ).
cnf(c_0_26_647,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
c_0_20,
[final] ).
cnf(c_0_27_648,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
c_0_21,
[final] ).
cnf(c_0_28_649,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,v_G_Ha,t_a),
c_0_22,
[final] ).
cnf(c_0_29_650,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
c_0_23,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_1340,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_267adf.p',c_0_27) ).
cnf(c_1714,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(copy,[status(esa)],[c_1340]) ).
cnf(c_1735,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(copy,[status(esa)],[c_1714]) ).
cnf(c_1740,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(copy,[status(esa)],[c_1735]) ).
cnf(c_1747,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(copy,[status(esa)],[c_1740]) ).
cnf(c_5704,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(copy,[status(esa)],[c_1747]) ).
cnf(c_728,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_267adf.p',c_0_2034_2) ).
cnf(c_4549,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
inference(copy,[status(esa)],[c_728]) ).
cnf(c_5714,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,X0,t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,X0,t_a) ),
inference(resolution,[status(thm)],[c_5704,c_4549]) ).
cnf(c_5715,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,X0,t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,X0,t_a) ),
inference(rewriting,[status(thm)],[c_5714]) ).
cnf(c_1338,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_267adf.p',c_0_26) ).
cnf(c_1710,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(copy,[status(esa)],[c_1338]) ).
cnf(c_1733,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(copy,[status(esa)],[c_1710]) ).
cnf(c_1742,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(copy,[status(esa)],[c_1733]) ).
cnf(c_1745,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(copy,[status(esa)],[c_1742]) ).
cnf(c_5700,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(copy,[status(esa)],[c_1745]) ).
cnf(c_6100,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(resolution,[status(thm)],[c_5715,c_5700]) ).
cnf(c_6101,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(rewriting,[status(thm)],[c_6100]) ).
cnf(c_1342,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_267adf.p',c_0_29) ).
cnf(c_1718,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(copy,[status(esa)],[c_1342]) ).
cnf(c_1737,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(copy,[status(esa)],[c_1718]) ).
cnf(c_1738,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(copy,[status(esa)],[c_1737]) ).
cnf(c_1749,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(copy,[status(esa)],[c_1738]) ).
cnf(c_5708,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(copy,[status(esa)],[c_1749]) ).
cnf(c_6103,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6101,c_5708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV837-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 06:58:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.20/0.50 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.50 % Orientation found
% 0.20/0.50 % 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/sandbox2/tmp/iprover_proof_07b82c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_267adf.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_d1e594 | grep -v "SZS"
% 0.20/0.52
% 0.20/0.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ iProver source info
% 0.20/0.52
% 0.20/0.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.52 % git: non_committed_changes: true
% 0.20/0.52 % git: last_make_outside_of_git: true
% 0.20/0.52
% 0.20/0.52 %
% 0.20/0.52 % ------ Input Options
% 0.20/0.52
% 0.20/0.52 % --out_options all
% 0.20/0.52 % --tptp_safe_out true
% 0.20/0.52 % --problem_path ""
% 0.20/0.52 % --include_path ""
% 0.20/0.52 % --clausifier .//eprover
% 0.20/0.52 % --clausifier_options --tstp-format
% 0.20/0.52 % --stdin false
% 0.20/0.52 % --dbg_backtrace false
% 0.20/0.52 % --dbg_dump_prop_clauses false
% 0.20/0.52 % --dbg_dump_prop_clauses_file -
% 0.20/0.52 % --dbg_out_stat false
% 0.20/0.52
% 0.20/0.52 % ------ General Options
% 0.20/0.52
% 0.20/0.52 % --fof false
% 0.20/0.52 % --time_out_real 150.
% 0.20/0.52 % --time_out_prep_mult 0.2
% 0.20/0.52 % --time_out_virtual -1.
% 0.20/0.52 % --schedule none
% 0.20/0.52 % --ground_splitting input
% 0.20/0.52 % --splitting_nvd 16
% 0.20/0.52 % --non_eq_to_eq false
% 0.20/0.52 % --prep_gs_sim true
% 0.20/0.52 % --prep_unflatten false
% 0.20/0.52 % --prep_res_sim true
% 0.20/0.52 % --prep_upred true
% 0.20/0.52 % --res_sim_input true
% 0.20/0.52 % --clause_weak_htbl true
% 0.20/0.52 % --gc_record_bc_elim false
% 0.20/0.52 % --symbol_type_check false
% 0.20/0.52 % --clausify_out false
% 0.20/0.52 % --large_theory_mode false
% 0.20/0.52 % --prep_sem_filter none
% 0.20/0.52 % --prep_sem_filter_out false
% 0.20/0.52 % --preprocessed_out false
% 0.20/0.52 % --sub_typing false
% 0.20/0.52 % --brand_transform false
% 0.20/0.52 % --pure_diseq_elim true
% 0.20/0.52 % --min_unsat_core false
% 0.20/0.52 % --pred_elim true
% 0.20/0.52 % --add_important_lit false
% 0.20/0.52 % --soft_assumptions false
% 0.20/0.52 % --reset_solvers false
% 0.20/0.52 % --bc_imp_inh []
% 0.20/0.52 % --conj_cone_tolerance 1.5
% 0.20/0.52 % --prolific_symb_bound 500
% 0.20/0.52 % --lt_threshold 2000
% 0.20/0.52
% 0.20/0.52 % ------ SAT Options
% 0.20/0.52
% 0.20/0.52 % --sat_mode false
% 0.20/0.52 % --sat_fm_restart_options ""
% 0.20/0.52 % --sat_gr_def false
% 0.20/0.52 % --sat_epr_types true
% 0.20/0.52 % --sat_non_cyclic_types false
% 0.20/0.52 % --sat_finite_models false
% 0.20/0.52 % --sat_fm_lemmas false
% 0.20/0.52 % --sat_fm_prep false
% 0.20/0.52 % --sat_fm_uc_incr true
% 0.20/0.52 % --sat_out_model small
% 0.20/0.52 % --sat_out_clauses false
% 0.20/0.52
% 0.20/0.52 % ------ QBF Options
% 0.20/0.52
% 0.20/0.52 % --qbf_mode false
% 0.20/0.52 % --qbf_elim_univ true
% 0.20/0.52 % --qbf_sk_in true
% 0.20/0.52 % --qbf_pred_elim true
% 0.20/0.52 % --qbf_split 32
% 0.20/0.52
% 0.20/0.52 % ------ BMC1 Options
% 0.20/0.52
% 0.20/0.52 % --bmc1_incremental false
% 0.20/0.52 % --bmc1_axioms reachable_all
% 0.20/0.52 % --bmc1_min_bound 0
% 0.20/0.52 % --bmc1_max_bound -1
% 0.20/0.52 % --bmc1_max_bound_default -1
% 0.20/0.52 % --bmc1_symbol_reachability true
% 0.20/0.52 % --bmc1_property_lemmas false
% 0.20/0.52 % --bmc1_k_induction false
% 0.20/0.52 % --bmc1_non_equiv_states false
% 0.20/0.52 % --bmc1_deadlock false
% 0.20/0.52 % --bmc1_ucm false
% 0.20/0.52 % --bmc1_add_unsat_core none
% 0.20/0.52 % --bmc1_unsat_core_children false
% 0.20/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.52 % --bmc1_out_stat full
% 0.20/0.52 % --bmc1_ground_init false
% 0.20/0.52 % --bmc1_pre_inst_next_state false
% 0.20/0.52 % --bmc1_pre_inst_state false
% 0.20/0.52 % --bmc1_pre_inst_reach_state false
% 0.20/0.52 % --bmc1_out_unsat_core false
% 0.20/0.52 % --bmc1_aig_witness_out false
% 0.20/0.52 % --bmc1_verbose false
% 0.20/0.52 % --bmc1_dump_clauses_tptp false
% 5.12/6.02 % --bmc1_dump_unsat_core_tptp false
% 5.12/6.02 % --bmc1_dump_file -
% 5.12/6.02 % --bmc1_ucm_expand_uc_limit 128
% 5.12/6.02 % --bmc1_ucm_n_expand_iterations 6
% 5.12/6.02 % --bmc1_ucm_extend_mode 1
% 5.12/6.02 % --bmc1_ucm_init_mode 2
% 5.12/6.02 % --bmc1_ucm_cone_mode none
% 5.12/6.02 % --bmc1_ucm_reduced_relation_type 0
% 5.12/6.02 % --bmc1_ucm_relax_model 4
% 5.12/6.02 % --bmc1_ucm_full_tr_after_sat true
% 5.12/6.02 % --bmc1_ucm_expand_neg_assumptions false
% 5.12/6.02 % --bmc1_ucm_layered_model none
% 5.12/6.02 % --bmc1_ucm_max_lemma_size 10
% 5.12/6.02
% 5.12/6.02 % ------ AIG Options
% 5.12/6.02
% 5.12/6.02 % --aig_mode false
% 5.12/6.02
% 5.12/6.02 % ------ Instantiation Options
% 5.12/6.02
% 5.12/6.02 % --instantiation_flag true
% 5.12/6.02 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.12/6.02 % --inst_solver_per_active 750
% 5.12/6.02 % --inst_solver_calls_frac 0.5
% 5.12/6.02 % --inst_passive_queue_type priority_queues
% 5.12/6.02 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.12/6.02 % --inst_passive_queues_freq [25;2]
% 5.12/6.02 % --inst_dismatching true
% 5.12/6.02 % --inst_eager_unprocessed_to_passive true
% 5.12/6.02 % --inst_prop_sim_given true
% 5.12/6.02 % --inst_prop_sim_new false
% 5.12/6.02 % --inst_orphan_elimination true
% 5.12/6.02 % --inst_learning_loop_flag true
% 5.12/6.02 % --inst_learning_start 3000
% 5.12/6.02 % --inst_learning_factor 2
% 5.12/6.02 % --inst_start_prop_sim_after_learn 3
% 5.12/6.02 % --inst_sel_renew solver
% 5.12/6.02 % --inst_lit_activity_flag true
% 5.12/6.02 % --inst_out_proof true
% 5.12/6.02
% 5.12/6.02 % ------ Resolution Options
% 5.12/6.02
% 5.12/6.02 % --resolution_flag true
% 5.12/6.02 % --res_lit_sel kbo_max
% 5.12/6.02 % --res_to_prop_solver none
% 5.12/6.02 % --res_prop_simpl_new false
% 5.12/6.02 % --res_prop_simpl_given false
% 5.12/6.02 % --res_passive_queue_type priority_queues
% 5.12/6.02 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.12/6.02 % --res_passive_queues_freq [15;5]
% 5.12/6.02 % --res_forward_subs full
% 5.12/6.02 % --res_backward_subs full
% 5.12/6.02 % --res_forward_subs_resolution true
% 5.12/6.02 % --res_backward_subs_resolution true
% 5.12/6.02 % --res_orphan_elimination false
% 5.12/6.02 % --res_time_limit 1000.
% 5.12/6.02 % --res_out_proof true
% 5.12/6.02 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_07b82c.s
% 5.12/6.02 % --modulo true
% 5.12/6.02
% 5.12/6.02 % ------ Combination Options
% 5.12/6.02
% 5.12/6.02 % --comb_res_mult 1000
% 5.12/6.02 % --comb_inst_mult 300
% 5.12/6.02 % ------
% 5.12/6.02
% 5.12/6.02 % ------ Parsing...% successful
% 5.12/6.02
% 5.12/6.02 % ------ 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 %
% 5.12/6.02
% 5.12/6.02 % ------ Proving...
% 5.12/6.02 % ------ Problem Properties
% 5.12/6.02
% 5.12/6.02 %
% 5.12/6.02 % EPR false
% 5.12/6.02 % Horn false
% 5.12/6.02 % Has equality true
% 5.12/6.02
% 5.12/6.02 % % ------ Input Options Time Limit: Unbounded
% 5.12/6.02
% 5.12/6.02
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 Compiling...
% 5.12/6.02 Loading plugin: done.
% 5.12/6.02 % % ------ Current options:
% 5.12/6.02
% 5.12/6.02 % ------ Input Options
% 5.12/6.02
% 5.12/6.02 % --out_options all
% 5.12/6.02 % --tptp_safe_out true
% 5.12/6.02 % --problem_path ""
% 5.12/6.02 % --include_path ""
% 5.12/6.02 % --clausifier .//eprover
% 5.12/6.02 % --clausifier_options --tstp-format
% 5.12/6.02 % --stdin false
% 5.12/6.02 % --dbg_backtrace false
% 5.12/6.02 % --dbg_dump_prop_clauses false
% 5.12/6.02 % --dbg_dump_prop_clauses_file -
% 5.12/6.02 % --dbg_out_stat false
% 5.12/6.02
% 5.12/6.02 % ------ General Options
% 5.12/6.02
% 5.12/6.02 % --fof false
% 5.12/6.02 % --time_out_real 150.
% 5.12/6.02 % --time_out_prep_mult 0.2
% 5.12/6.02 % --time_out_virtual -1.
% 5.12/6.02 % --schedule none
% 5.12/6.02 % --ground_splitting input
% 5.12/6.02 % --splitting_nvd 16
% 5.12/6.02 % --non_eq_to_eq false
% 5.12/6.02 % --prep_gs_sim true
% 5.12/6.02 % --prep_unflatten false
% 5.12/6.02 % --prep_res_sim true
% 5.12/6.02 % --prep_upred true
% 5.12/6.02 % --res_sim_input true
% 5.12/6.02 % --clause_weak_htbl true
% 5.12/6.02 % --gc_record_bc_elim false
% 5.12/6.02 % --symbol_type_check false
% 5.12/6.02 % --clausify_out false
% 5.12/6.02 % --large_theory_mode false
% 5.12/6.02 % --prep_sem_filter none
% 5.12/6.02 % --prep_sem_filter_out false
% 5.12/6.02 % --preprocessed_out false
% 5.12/6.02 % --sub_typing false
% 5.12/6.02 % --brand_transform false
% 5.12/6.02 % --pure_diseq_elim true
% 5.12/6.02 % --min_unsat_core false
% 5.12/6.02 % --pred_elim true
% 5.12/6.02 % --add_important_lit false
% 5.12/6.02 % --soft_assumptions false
% 5.12/6.02 % --reset_solvers false
% 5.12/6.02 % --bc_imp_inh []
% 5.12/6.02 % --conj_cone_tolerance 1.5
% 5.12/6.02 % --prolific_symb_bound 500
% 5.12/6.02 % --lt_threshold 2000
% 5.12/6.02
% 5.12/6.02 % ------ SAT Options
% 5.12/6.02
% 5.12/6.02 % --sat_mode false
% 5.12/6.02 % --sat_fm_restart_options ""
% 5.12/6.02 % --sat_gr_def false
% 5.12/6.02 % --sat_epr_types true
% 5.12/6.02 % --sat_non_cyclic_types false
% 5.12/6.02 % --sat_finite_models false
% 5.12/6.02 % --sat_fm_lemmas false
% 5.12/6.02 % --sat_fm_prep false
% 5.12/6.02 % --sat_fm_uc_incr true
% 5.12/6.02 % --sat_out_model small
% 5.12/6.02 % --sat_out_clauses false
% 5.12/6.02
% 5.12/6.02 % ------ QBF Options
% 5.12/6.02
% 5.12/6.02 % --qbf_mode false
% 5.12/6.02 % --qbf_elim_univ true
% 5.12/6.02 % --qbf_sk_in true
% 5.12/6.02 % --qbf_pred_elim true
% 5.12/6.02 % --qbf_split 32
% 5.12/6.02
% 5.12/6.02 % ------ BMC1 Options
% 5.12/6.02
% 5.12/6.02 % --bmc1_incremental false
% 5.12/6.02 % --bmc1_axioms reachable_all
% 5.12/6.02 % --bmc1_min_bound 0
% 5.12/6.02 % --bmc1_max_bound -1
% 5.12/6.02 % --bmc1_max_bound_default -1
% 5.12/6.02 % --bmc1_symbol_reachability true
% 5.12/6.02 % --bmc1_property_lemmas false
% 5.12/6.02 % --bmc1_k_induction false
% 5.12/6.02 % --bmc1_non_equiv_states false
% 5.12/6.02 % --bmc1_deadlock false
% 5.12/6.02 % --bmc1_ucm false
% 5.12/6.02 % --bmc1_add_unsat_core none
% 5.12/6.02 % --bmc1_unsat_core_children false
% 5.12/6.02 % --bmc1_unsat_core_extrapolate_axioms false
% 5.12/6.02 % --bmc1_out_stat full
% 5.12/6.02 % --bmc1_ground_init false
% 5.12/6.02 % --bmc1_pre_inst_next_state false
% 5.12/6.02 % --bmc1_pre_inst_state false
% 5.12/6.02 % --bmc1_pre_inst_reach_state false
% 5.12/6.02 % --bmc1_out_unsat_core false
% 5.12/6.02 % --bmc1_aig_witness_out false
% 5.12/6.02 % --bmc1_verbose false
% 5.12/6.02 % --bmc1_dump_clauses_tptp false
% 5.12/6.02 % --bmc1_dump_unsat_core_tptp false
% 5.12/6.02 % --bmc1_dump_file -
% 5.12/6.02 % --bmc1_ucm_expand_uc_limit 128
% 5.12/6.02 % --bmc1_ucm_n_expand_iterations 6
% 5.12/6.02 % --bmc1_ucm_extend_mode 1
% 5.12/6.02 % --bmc1_ucm_init_mode 2
% 5.12/6.02 % --bmc1_ucm_cone_mode none
% 5.12/6.02 % --bmc1_ucm_reduced_relation_type 0
% 5.12/6.02 % --bmc1_ucm_relax_model 4
% 5.12/6.02 % --bmc1_ucm_full_tr_after_sat true
% 5.12/6.02 % --bmc1_ucm_expand_neg_assumptions false
% 5.12/6.02 % --bmc1_ucm_layered_model none
% 5.12/6.03 % --bmc1_ucm_max_lemma_size 10
% 5.12/6.03
% 5.12/6.03 % ------ AIG Options
% 5.12/6.03
% 5.12/6.03 % --aig_mode false
% 5.12/6.03
% 5.12/6.03 % ------ Instantiation Options
% 5.12/6.03
% 5.12/6.03 % --instantiation_flag true
% 5.12/6.03 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.12/6.03 % --inst_solver_per_active 750
% 5.12/6.03 % --inst_solver_calls_frac 0.5
% 5.12/6.03 % --inst_passive_queue_type priority_queues
% 5.12/6.03 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.12/6.03 % --inst_passive_queues_freq [25;2]
% 5.12/6.03 % --inst_dismatching true
% 5.12/6.03 % --inst_eager_unprocessed_to_passive true
% 5.12/6.03 % --inst_prop_sim_given true
% 5.12/6.03 % --inst_prop_sim_new false
% 5.12/6.03 % --inst_orphan_elimination true
% 5.12/6.03 % --inst_learning_loop_flag true
% 5.12/6.03 % --inst_learning_start 3000
% 5.12/6.03 % --inst_learning_factor 2
% 5.12/6.03 % --inst_start_prop_sim_after_learn 3
% 5.12/6.03 % --inst_sel_renew solver
% 5.12/6.03 % --inst_lit_activity_flag true
% 5.12/6.03 % --inst_out_proof true
% 5.12/6.03
% 5.12/6.03 % ------ Resolution Options
% 5.12/6.03
% 5.12/6.03 % --resolution_flag true
% 5.12/6.03 % --res_lit_sel kbo_max
% 5.12/6.03 % --res_to_prop_solver none
% 5.12/6.03 % --res_prop_simpl_new false
% 5.12/6.03 % --res_prop_simpl_given false
% 5.12/6.03 % --res_passive_queue_type priority_queues
% 5.12/6.03 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.12/6.03 % --res_passive_queues_freq [15;5]
% 5.12/6.03 % --res_forward_subs full
% 5.12/6.03 % --res_backward_subs full
% 5.12/6.03 % --res_forward_subs_resolution true
% 5.12/6.03 % --res_backward_subs_resolution true
% 5.12/6.03 % --res_orphan_elimination false
% 5.12/6.03 % --res_time_limit 1000.
% 5.12/6.03 % --res_out_proof true
% 5.12/6.03 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_07b82c.s
% 5.12/6.03 % --modulo true
% 5.12/6.03
% 5.12/6.03 % ------ Combination Options
% 5.12/6.03
% 5.12/6.03 % --comb_res_mult 1000
% 5.12/6.03 % --comb_inst_mult 300
% 5.12/6.03 % ------
% 5.12/6.03
% 5.12/6.03
% 5.12/6.03
% 5.12/6.03 % ------ Proving...
% 5.12/6.03 %
% 5.12/6.03
% 5.12/6.03
% 5.12/6.03 % Resolution empty clause
% 5.12/6.03
% 5.12/6.03 % ------ Statistics
% 5.12/6.03
% 5.12/6.03 % ------ General
% 5.12/6.03
% 5.12/6.03 % num_of_input_clauses: 1343
% 5.12/6.03 % num_of_input_neg_conjectures: 6
% 5.12/6.03 % num_of_splits: 0
% 5.12/6.03 % num_of_split_atoms: 0
% 5.12/6.03 % num_of_sem_filtered_clauses: 0
% 5.12/6.03 % num_of_subtypes: 0
% 5.12/6.03 % monotx_restored_types: 0
% 5.12/6.03 % sat_num_of_epr_types: 0
% 5.12/6.03 % sat_num_of_non_cyclic_types: 0
% 5.12/6.03 % sat_guarded_non_collapsed_types: 0
% 5.12/6.03 % is_epr: 0
% 5.12/6.03 % is_horn: 0
% 5.12/6.03 % has_eq: 1
% 5.12/6.03 % num_pure_diseq_elim: 0
% 5.12/6.03 % simp_replaced_by: 0
% 5.12/6.03 % res_preprocessed: 12
% 5.12/6.03 % prep_upred: 0
% 5.12/6.03 % prep_unflattend: 0
% 5.12/6.03 % pred_elim_cands: 0
% 5.12/6.03 % pred_elim: 0
% 5.12/6.03 % pred_elim_cl: 0
% 5.12/6.03 % pred_elim_cycles: 0
% 5.12/6.03 % forced_gc_time: 0
% 5.12/6.03 % gc_basic_clause_elim: 0
% 5.12/6.03 % parsing_time: 0.074
% 5.12/6.03 % sem_filter_time: 0.
% 5.12/6.03 % pred_elim_time: 0.
% 5.12/6.03 % out_proof_time: 0.
% 5.12/6.03 % monotx_time: 0.
% 5.12/6.03 % subtype_inf_time: 0.
% 5.12/6.03 % unif_index_cands_time: 0.
% 5.12/6.03 % unif_index_add_time: 0.
% 5.12/6.03 % total_time: 5.531
% 5.12/6.03 % num_of_symbols: 79
% 5.12/6.03 % num_of_terms: 3554
% 5.12/6.03
% 5.12/6.03 % ------ Propositional Solver
% 5.12/6.03
% 5.12/6.03 % prop_solver_calls: 1
% 5.12/6.03 % prop_fast_solver_calls: 21
% 5.12/6.03 % prop_num_of_clauses: 1311
% 5.12/6.03 % prop_preprocess_simplified: 4083
% 5.12/6.03 % prop_fo_subsumed: 0
% 5.12/6.03 % prop_solver_time: 0.
% 5.12/6.03 % prop_fast_solver_time: 0.
% 5.12/6.04 % prop_unsat_core_time: 0.
% 5.12/6.04
% 5.12/6.04 % ------ QBF
% 5.12/6.04
% 5.12/6.04 % qbf_q_res: 0
% 5.12/6.04 % qbf_num_tautologies: 0
% 5.12/6.04 % qbf_prep_cycles: 0
% 5.12/6.04
% 5.12/6.04 % ------ BMC1
% 5.12/6.04
% 5.12/6.04 % bmc1_current_bound: -1
% 5.12/6.04 % bmc1_last_solved_bound: -1
% 5.12/6.04 % bmc1_unsat_core_size: -1
% 5.12/6.04 % bmc1_unsat_core_parents_size: -1
% 5.12/6.04 % bmc1_merge_next_fun: 0
% 5.12/6.04 % bmc1_unsat_core_clauses_time: 0.
% 5.12/6.04
% 5.12/6.04 % ------ Instantiation
% 5.12/6.04
% 5.12/6.04 % inst_num_of_clauses: 1184
% 5.12/6.04 % inst_num_in_passive: 0
% 5.12/6.04 % inst_num_in_active: 0
% 5.12/6.04 % inst_num_in_unprocessed: 1343
% 5.12/6.04 % inst_num_of_loops: 0
% 5.12/6.04 % inst_num_of_learning_restarts: 0
% 5.12/6.04 % inst_num_moves_active_passive: 0
% 5.12/6.04 % inst_lit_activity: 0
% 5.12/6.04 % inst_lit_activity_moves: 0
% 5.12/6.04 % inst_num_tautologies: 0
% 5.12/6.04 % inst_num_prop_implied: 0
% 5.12/6.04 % inst_num_existing_simplified: 0
% 5.12/6.04 % inst_num_eq_res_simplified: 0
% 5.12/6.04 % inst_num_child_elim: 0
% 5.12/6.04 % inst_num_of_dismatching_blockings: 0
% 5.12/6.04 % inst_num_of_non_proper_insts: 0
% 5.12/6.04 % inst_num_of_duplicates: 0
% 5.12/6.04 % inst_inst_num_from_inst_to_res: 0
% 5.12/6.04 % inst_dismatching_checking_time: 0.
% 5.12/6.04
% 5.12/6.04 % ------ Resolution
% 5.12/6.04
% 5.12/6.04 % res_num_of_clauses: 1528
% 5.12/6.04 % res_num_in_passive: 175
% 5.12/6.04 % res_num_in_active: 533
% 5.12/6.04 % res_num_of_loops: 11
% 5.12/6.04 % res_forward_subset_subsumed: 745
% 5.12/6.04 % res_backward_subset_subsumed: 4
% 5.12/6.04 % res_forward_subsumed: 0
% 5.12/6.04 % res_backward_subsumed: 0
% 5.12/6.04 % res_forward_subsumption_resolution: 1
% 5.12/6.04 % res_backward_subsumption_resolution: 0
% 5.12/6.04 % res_clause_to_clause_subsumption: 7
% 5.12/6.04 % res_orphan_elimination: 0
% 5.12/6.04 % res_tautology_del: 0
% 5.12/6.04 % res_num_eq_res_simplified: 0
% 5.12/6.04 % res_num_sel_changes: 0
% 5.12/6.04 % res_moves_from_active_to_pass: 0
% 5.12/6.04
% 5.12/6.04 % Status Unsatisfiable
% 5.12/6.04 % SZS status Unsatisfiable
% 5.12/6.04 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------