%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG349-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.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 : 300s
% DateTime : Tue May 5 04:08:30 PM UTC 2026
% Result : Unsatisfiable 0.96s 5.68s
% Output : CNFRefutation 17.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_395)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_vimage__Collect__eq_0,axiom,
c_Set_Ovimage(X1,c_Collect(X2,X3),X4,X3) = c_Collect(c_COMBB(X2,X1,X3,tc_bool,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Collect__eq_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_vimage__Int_0,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Int_0) ).
cnf(cls_vimage__Un_0,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Un_0) ).
cnf(cls_vimageE_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageE_0) ).
cnf(cls_vimageD_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageD_0) ).
cnf(cls_vimage__code_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_0) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
cnf(cls_vimage__eq_1,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__eq_1) ).
cnf(cls_vimageI2_0,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI2_0) ).
cnf(cls_vimageI_0,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI_0) ).
cnf(cls_vimage__mono_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__mono_0) ).
cnf(cls_vimage__code_1,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_1) ).
cnf(cls_finite__Collect__not_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,X2,tc_bool,tc_bool,X1),X1),X1)
| ~ c_Finite__Set_Ofinite(c_Collect(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Collect__not_0) ).
cnf(cls_vimage__subsetI_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).
cnf(cls_image__vimage__eq_0,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__vimage__eq_0) ).
cnf(cls_finite__vimageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__vimageI_0) ).
cnf(cls_finite__Collect__not_1,axiom,
( c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,X1,tc_bool,tc_bool,X2),X2),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Collect(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Collect__not_1) ).
cnf(cls_Int__Collect__mono_2,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Collect(X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),c_Collect(X5,X1)),tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1)))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect__mono_2) ).
cnf(cls_inj__vimage__image__eq_0,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).
cnf(cls_Int__Collect__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Collect(X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),c_Collect(X5,X1)),tc_fun(X1,tc_bool))
| hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1),X2,X1))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect__mono_0) ).
cnf(cls_Int__Collect__mono_1,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Collect(X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),c_Collect(X5,X1)),tc_fun(X1,tc_bool))
| hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1)))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect__mono_1) ).
cnf(cls_vimage__const_0,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__const_0) ).
cnf(cls_vimage__const_1,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(c_in(X1,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__const_1) ).
cnf(cls_vimage__empty_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__empty_0) ).
cnf(cls_vimage__UNIV_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).
cnf(cls_vimage__ident_0,axiom,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__ident_0) ).
cnf(cls_Int__Collect_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),c_Collect(X4,X3)),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect_0) ).
cnf(cls_Int__Collect_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),c_Collect(X1,X3)),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect_1) ).
cnf(cls_Int__Collect_2,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Collect(X4,X2)),X2))
| ~ hBOOL(hAPP(X4,X1))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect_2) ).
cnf(cls_isLubI2_0,axiom,
( c_Lubs_OisLub(X2,X3,X4,X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_Osetge(X4,c_Collect(c_Lubs_OisUb(X2,X3,X1),X1),X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLubI2_0) ).
cnf(cls_Collect__cong_1,axiom,
( c_Collect(X1,X2) = c_Collect(X3,X2)
| ~ hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__cong_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Collect__cong_0,axiom,
( c_Collect(X1,X2) = c_Collect(X3,X2)
| hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2)))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__cong_0) ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(cls_CollectI_0,axiom,
( hBOOL(c_in(X1,c_Collect(X2,X3),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectI_0) ).
cnf(cls_ubs__def_0,axiom,
( c_Lubs_Oubs(X2,X3,X1) = c_Collect(c_Lubs_OisUb(X2,X3,X1),X1)
| ~ class_HOL_Oord(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ubs__def_0) ).
cnf(cls_thx_0,axiom,
hBOOL(c_in(v_sko__local__Xthx__1(v_P),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_thx_0) ).
cnf(cls_empty__Collect__eq_0,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X2,X1)
| ~ hBOOL(hAPP(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__Collect__eq_0) ).
cnf(cls_Collect__empty__eq_0,axiom,
( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).
cnf(cls_UNIV__def_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Collect(c_COMBK(c_True,tc_bool,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__def_0) ).
cnf(cls_complete__lattice_Oinf__Inf__fold__inf_0,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X6,X7,X8,X1,X9,X10,X11,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_Oinf__Inf__fold__inf_0) ).
cnf(cls_complete__lattice_Osup__Sup__fold__sup_0,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X7,X8,X9,X1,X10,X11,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_Osup__Sup__fold__sup_0) ).
cnf(cls_complete__lattice_OInf__fold__inf_0,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X3,X9,X10,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OInf__fold__inf_0) ).
cnf(cls_complete__lattice_OSup__fold__sup_0,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X3,X4,X10,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__fold__sup_0) ).
cnf(cls_complete__lattice_OInf__lower_0,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OInf__lower_0) ).
cnf(cls_complete__lattice_OSup__upper_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__upper_0) ).
cnf(cls_complete__lattice_OInf__empty_0,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OInf__empty_0) ).
cnf(cls_complete__lattice_OSup__empty_0,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__empty_0) ).
cnf(cls_complete__lattice_OInf__UNIV_0,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OInf__UNIV_0) ).
cnf(cls_complete__lattice_OSup__UNIV_0,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__UNIV_0) ).
cnf(cls_Un__Int__crazy_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
cnf(cls_finite__range__imageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4),X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__range__imageI_0) ).
cnf(cls_image__Int__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
cnf(cls_range__composition_0,axiom,
c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_range__composition_0) ).
cnf(cls_image__image_0,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_inj__on__image__Int_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).
cnf(cls_fold__inf__le__inf_0,axiom,
( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X4,X3,X1))
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__inf__le__inf_0) ).
cnf(cls_sup__le__fold__sup_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X3,X4,X1,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__le__fold__sup_0) ).
cnf(cls_image__Int_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_inj__image__mem__iff_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_inj__image__subset__iff_0,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))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).
cnf(cls_Un__Int__assoc__eq_0,axiom,
( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
cnf(cls_inj__image__mem__iff_1,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).
cnf(cls_Int__Un__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
cnf(cls_Un__Int__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_inj__image__subset__iff_1,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))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
cnf(cls_endo__inj__surj_0,axiom,
( c_Set_Oimage(X1,X2,X3,X3) = X2
| ~ c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_endo__inj__surj_0) ).
cnf(cls_Int__Un__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
cnf(cls_rangeI_0,axiom,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_image__eqI_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_imageI_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
cnf(cls_rev__image__eqI_0,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).
cnf(cls_sup__Sup__fold__sup_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X3,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__Sup__fold__sup_0) ).
cnf(cls_UnE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
cnf(cls_Sup__fold__sup_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(X2,X1) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1),X2,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__fold__sup_0) ).
cnf(cls_fold__empty_0,axiom,
c_Finite__Set_Ofold(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__empty_0) ).
cnf(cls_inj__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_image__subset__iff_0,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_finite__imageD_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageD_0) ).
cnf(cls_image__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).
cnf(cls_subset__image__iff_2,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
cnf(cls_IntE_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_0) ).
cnf(cls_IntE_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_1) ).
cnf(cls_finite__surj__inj_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj__inj_0) ).
cnf(cls_Int__assoc_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
cnf(cls_Un__assoc_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_reals__complete_0,axiom,
( c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,c_RComplete_Osko__RComplete__Xreals__complete__1__1(X1),tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,tc_RealDef_Oreal),X2))
| ~ hBOOL(c_in(X3,X1,tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_reals__complete_0) ).
cnf(cls_lemma__reals__complete_0,axiom,
( c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,c_Deriv_Osko__Deriv__Xlemma__reals__complete__1__1(X1),tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,tc_RealDef_Oreal),X2))
| ~ hBOOL(c_in(X3,X1,tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma__reals__complete_0) ).
cnf(cls_inj__on__Un_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).
cnf(cls_inj__on__Un_1,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
cnf(cls_distrib__inf__le_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
cnf(cls_distrib__sup__le_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).
cnf(cls_IntI_0,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntI_0) ).
cnf(cls_Int__iff_2,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__iff_2) ).
cnf(cls_sup1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_inf1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).
cnf(cls_inf1E_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_1) ).
cnf(cls_finite__surj_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj_0) ).
cnf(cls_Int__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__mono_0) ).
cnf(cls_Un__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_Int__left__commute_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_Un__left__commute_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
cnf(cls_UnCI_1,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).
cnf(cls_isLub__le__isUb_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X5,X1),X3))
| ~ c_Lubs_OisLub(X4,X5,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLub__le__isUb_0) ).
cnf(cls_inj__onD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__onD_0) ).
cnf(cls_inj__on__def_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__def_0) ).
cnf(cls_inj__on__iff_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).
cnf(cls_inj__on__contraD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
cnf(cls_isUb__UNIV__I_0,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1),X3))
| hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(X2,X3,X1),X2,X1))
| ~ class_HOL_Oord(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUb__UNIV__I_0) ).
cnf(cls_real__isLub__unique_0,axiom,
( X1 = X2
| ~ c_Lubs_OisLub(X3,X4,X2,tc_RealDef_Oreal)
| ~ c_Lubs_OisLub(X3,X4,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__isLub__unique_0) ).
cnf(cls_subset__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_open__Int_0,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)))
| ~ class_RealVector_Otopological__space(X1)
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X3))
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_open__Int_0) ).
cnf(cls_open__Un_0,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)))
| ~ class_RealVector_Otopological__space(X1)
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X3))
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_open__Un_0) ).
cnf(cls_topological__space_Oopen__Int_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X3))
| ~ c_RealVector_Otopological__space(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_topological__space_Oopen__Int_0) ).
cnf(cls_topological__space_Oopen__Un_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X3))
| ~ c_RealVector_Otopological__space(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_topological__space_Oopen__Un_0) ).
cnf(cls_isUb__UNIV__I_1,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1),X3))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(X2,X3,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUb__UNIV__I_1) ).
cnf(cls_inf1I_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1I_0) ).
cnf(cls_sup1CI_1,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_Un__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
cnf(cls_Un__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
cnf(cls_Int__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
cnf(cls_Int__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
cnf(cls_isLub__isUb_0,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4))
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X2,X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLub__isUb_0) ).
cnf(cls_isLubD2_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Lubs_OisLub(X5,X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLubD2_0) ).
cnf(cls_inf__sup__distrib2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
cnf(cls_sup__inf__distrib2_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
cnf(cls_isUbD_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ hBOOL(hAPP(c_Lubs_OisUb(X5,X4,X1),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUbD_0) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_Un__least_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).
cnf(cls_Un__subset__iff_2,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_Int__subset__iff_2,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
cnf(cls_Int__greatest_0,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
cnf(cls_Int__left__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_Un__left__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
cnf(cls_below__fold1__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_lessequals(X2,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X4,X1),X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_below__fold1__iff_0) ).
cnf(cls_isLub__ubs_0,axiom,
( c_Lubs_Osetge(X2,c_Lubs_Oubs(X3,X4,X1),X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X3,X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLub__ubs_0) ).
cnf(cls_finite__imageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_inf__sup__distrib1_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
cnf(cls_sup__inf__distrib1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
cnf(cls_injD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_injD_0) ).
cnf(cls_isUb__def_2,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4))
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Lubs_Osetle(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUb__def_2) ).
cnf(cls_isUbI_0,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4))
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Lubs_Osetle(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUbI_0) ).
cnf(cls_isLubD1a_0,axiom,
( hBOOL(c_in(X2,X3,X1))
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X3,X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLubD1a_0) ).
cnf(cls_isUbD2a_0,axiom,
( hBOOL(c_in(X2,X3,X1))
| ~ class_HOL_Oord(X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X3,X4,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUbD2a_0) ).
cnf(cls_finite__Un_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Un_0) ).
cnf(cls_finite__Un_1,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Un_1) ).
cnf(cls_empty__is__image_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
cnf(cls_image__is__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
cnf(cls_isLubD1_0,axiom,
( c_Lubs_Osetle(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X4,X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isLubD1_0) ).
cnf(cls_isUbD2_0,axiom,
( c_Lubs_Osetle(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X2,X1),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_isUbD2_0) ).
cnf(cls_image__constant__conv_0,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).
cnf(cls_inf__fun__eq_0,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__fun__eq_0) ).
cnf(cls_sup__fun__eq_0,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
cnf(cls_inf__sup__aci_I2_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_inf__assoc_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__assoc_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_sup__assoc_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
cnf(cls_set__mp_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
cnf(cls_subsetD_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__rev__mp_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subset__iff_0,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).
cnf(cls_fold1__belowI_0,axiom,
( c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold1__belowI_0) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_closed__Int_0,axiom,
( c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ class_RealVector_Otopological__space(X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X3,X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_closed__Int_0) ).
cnf(cls_closed__Un_0,axiom,
( c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ class_RealVector_Otopological__space(X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X3,X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_closed__Un_0) ).
cnf(cls_finite__UnI_0,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__UnI_0) ).
cnf(cls_finite__Un_2,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Un_2) ).
cnf(cls_ex__in__conv_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(cls_empty__iff_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).
cnf(cls_emptyE_0,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_le__sup__iff_2,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_sup__least_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__supI_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).
cnf(cls_inf__greatest_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__greatest_0) ).
cnf(cls_le__inf__iff_2,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).
cnf(cls_le__infI_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI_0) ).
cnf(cls_inf__eq__neg__sup_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__eq__neg__sup_0) ).
cnf(cls_sup__eq__neg__inf_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__neg__inf_0) ).
cnf(cls_Un__empty_2,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_2) ).
cnf(cls_image__empty_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_setgeD_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_Lubs_Osetge(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setgeD_0) ).
cnf(cls_setge__def_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_Lubs_Osetge(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setge__def_0) ).
cnf(cls_setleD_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Lubs_Osetle(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setleD_0) ).
cnf(cls_setle__def_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Lubs_Osetle(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setle__def_0) ).
cnf(cls_finite__Int_0,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_0) ).
cnf(cls_finite__Int_1,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_1) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_inf__sup__aci_I3_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_inf__left__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_sup__left__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
cnf(cls_le__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
cnf(cls_le__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_le__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_le__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).
cnf(cls_le__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).
cnf(cls_le__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_0) ).
cnf(cls_le__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).
cnf(cls_le__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_1) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
cnf(cls_Un__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_Un__empty_1,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).
cnf(cls_Int__commute_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_Un__commute_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_Int__empty__left_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_Un__UNIV__left_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_Int__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
cnf(cls_Int__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
cnf(cls_Un__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_Sup__upper_0,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X2,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__upper_0) ).
cnf(cls_image__ident_0,axiom,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__ident_0) ).
cnf(cls_inj__on__id2_0,axiom,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__id2_0) ).
cnf(cls_neg__inf__eq__sup_0,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__inf__eq__sup_0) ).
cnf(cls_compl__inf_0,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__inf_0) ).
cnf(cls_neg__sup__eq__inf_0,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__sup__eq__inf_0) ).
cnf(cls_compl__sup_0,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__sup_0) ).
cnf(cls_le__infI1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI1_0) ).
cnf(cls_le__infI2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI2_0) ).
cnf(cls_le__supI1_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supI2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_Int__UNIV__left_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
cnf(cls_Un__empty__left_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_subset__empty_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).
cnf(cls_neg__le__iff__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__iff__le_0) ).
cnf(cls_Int__empty__right_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).
cnf(cls_Un__UNIV__right_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_minus__le__iff_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).
cnf(cls_minus__le__iff_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).
cnf(cls_le__minus__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).
cnf(cls_le__minus__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_1) ).
cnf(cls_UNIV__I_0,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_inf__sup__aci_I4_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_inf__left__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_sup__left__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_le__imp__neg__le_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).
cnf(cls_compl__unique_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__unique_0) ).
cnf(cls_Int__UNIV__right_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).
cnf(cls_Un__empty__right_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_subset__empty_1,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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).
cnf(cls_inf__sup__ord_I1_J_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
cnf(cls_inf__le1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).
cnf(cls_inf__sup__ord_I2_J_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_inf__le2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_sup__inf__absorb_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
cnf(cls_rev__finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).
cnf(cls_finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_topological__space_Oopen__empty_0,axiom,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_topological__space_Oopen__empty_0) ).
cnf(cls_topological__space_Oopen__UNIV_0,axiom,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_topological__space_Oopen__UNIV_0) ).
cnf(cls_bot__empty__eq_0,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
cnf(cls_open__empty_0,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
| ~ class_RealVector_Otopological__space(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_open__empty_0) ).
cnf(cls_open__UNIV_0,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))))
| ~ class_RealVector_Otopological__space(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_open__UNIV_0) ).
cnf(cls_le__iff__inf_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
cnf(cls_inf__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_sup__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_le__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_Int__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_Un__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_compl__inf__bot_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__inf__bot_0) ).
cnf(cls_compl__sup__top_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).
cnf(cls_inf__sup__aci_I1_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_inf__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_sup__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
cnf(cls_sup__eq__bot__eq1_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
cnf(cls_inf__eq__top__eq1_0,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_0) ).
cnf(cls_sup__eq__bot__eq2_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
cnf(cls_inf__eq__top__eq2_0,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).
cnf(cls_CHAINED_0,axiom,
( c_HOL_Oord__class_Oless(X1,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal)
| ~ hBOOL(hAPP(v_P,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_inf__compl__bot_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__compl__bot_0) ).
cnf(cls_sup__compl__top_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__compl__top_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_Sup__empty_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__empty_0) ).
cnf(cls_Sup__UNIV_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__UNIV_0) ).
cnf(cls_inf__bot__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_sup__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_bot__fun__eq_0,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
cnf(cls_top__fun__eq_0,axiom,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
cnf(cls_closed__empty_0,axiom,
( c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_RealVector_Otopological__space(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_closed__empty_0) ).
cnf(cls_closed__UNIV_0,axiom,
( c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_RealVector_Otopological__space(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_closed__UNIV_0) ).
cnf(cls_finite__UNIV_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__UNIV_0) ).
cnf(cls_inf__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_sup__bot__left_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
cnf(cls_inf__bot__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).
cnf(cls_sup__top__right_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_inf__top__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__top__right_0) ).
cnf(cls_sup__bot__right_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
cnf(cls_finite_OemptyI_0,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_inf__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_0) ).
cnf(cls_sup__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_neg__equal__iff__equal_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).
cnf(cls_compl__eq__compl__iff_0,axiom,
( X2 = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
cnf(cls_minus__minus_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).
cnf(cls_minus__equation__iff_1,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
cnf(cls_double__compl_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
cnf(cls_equation__minus__iff_0,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_0) ).
cnf(cls_equation__minus__iff_1,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).
cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
| ~ class_Lattices_Oboolean__algebra(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
cnf(cls_assms_I1_J_0,axiom,
hBOOL(hAPP(v_P,v_sko__local__Xassms__1__1(v_P))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
cnf(cls_ex_0,axiom,
hBOOL(hAPP(v_P,v_sko__local__Xex__1(v_P))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex_0) ).
cnf(cls_compl__bot__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__bot__eq_0) ).
cnf(cls_compl__top__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).
cnf(cls_topological__space__class_Oaxioms_0,axiom,
( c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(X1),X1)
| ~ class_RealVector_Otopological__space(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_topological__space__class_Oaxioms_0) ).
cnf(cls_x_0,axiom,
hBOOL(hAPP(v_P,v_x____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_x_0) ).
cnf(cls_finite_0,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_0) ).
cnf(cls_COMBI__def_0,axiom,
hAPP(c_COMBI(X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
cnf(cls_COMBI__def__raw_0,axiom,
hAPP(c_COMBI(t_a),v_P) = v_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_RealDef__Oreal__RealVector_Otopological__space,axiom,
class_RealVector_Otopological__space(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Otopological__space) ).
cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_RealDef__Oreal__HOL_Oord,axiom,
class_HOL_Oord(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(i_0_394,axiom,
c_Set_Ovimage(X1,c_Collect(X2,X3),X4,X3) = c_Collect(c_COMBB(X2,X1,X3,tc_bool,X4),X4),
cls_vimage__Collect__eq_0 ).
cnf(i_0_395,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(i_0_396,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
cls_vimage__Int_0 ).
cnf(i_0_397,plain,
c_Set_Ovimage(X1,X2,X4,X3) = c_COMBB(X2,X1,X3,tc_bool,X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_394,c_0_395]),c_0_395]) ).
cnf(i_0_398,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
cls_vimage__Un_0 ).
cnf(i_0_399,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
cls_vimageE_0 ).
cnf(i_0_400,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
cls_vimageD_0 ).
cnf(i_0_401,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
cls_vimage__code_0 ).
cnf(i_0_402,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
cls_image__vimage__subset_0 ).
cnf(i_0_403,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
cls_vimage__eq_1 ).
cnf(i_0_404,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
cls_vimageI2_0 ).
cnf(i_0_405,axiom,
( hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
cls_vimageI_0 ).
cnf(i_0_406,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
cls_vimage__mono_0 ).
cnf(i_0_407,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
cls_vimage__code_1 ).
cnf(i_0_408,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,X2,tc_bool,tc_bool,X1),X1),X1)
| ~ c_Finite__Set_Ofinite(c_Collect(X2,X1),X1) ),
cls_finite__Collect__not_0 ).
cnf(i_0_409,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_vimage__subsetI_0 ).
cnf(i_0_410,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
cls_image__vimage__eq_0 ).
cnf(i_0_411,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__vimageI_0 ).
cnf(i_0_412,axiom,
( c_Finite__Set_Ofinite(c_Collect(c_COMBB(c_Not,X1,tc_bool,tc_bool,X2),X2),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Collect(X1,X2),X2) ),
cls_finite__Collect__not_1 ).
cnf(i_0_413,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Collect(X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),c_Collect(X5,X1)),tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1)))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Int__Collect__mono_2 ).
cnf(i_0_414,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__vimage__image__eq_0 ).
cnf(i_0_415,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Collect(X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),c_Collect(X5,X1)),tc_fun(X1,tc_bool))
| hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1),X2,X1))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Int__Collect__mono_0 ).
cnf(i_0_416,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Collect(X3,X1)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),c_Collect(X5,X1)),tc_fun(X1,tc_bool))
| hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1)))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Int__Collect__mono_1 ).
cnf(i_0_417,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X2)) ),
cls_vimage__const_0 ).
cnf(i_0_418,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(c_in(X1,X4,X2)) ),
cls_vimage__const_1 ).
cnf(i_0_419,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)),
cls_vimage__empty_0 ).
cnf(i_0_420,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)),
cls_vimage__UNIV_0 ).
cnf(i_0_421,axiom,
c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
cls_vimage__ident_0 ).
cnf(i_0_422,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),c_Collect(X4,X3)),X3)) ),
cls_Int__Collect_0 ).
cnf(i_0_423,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),c_Collect(X1,X3)),X3)) ),
cls_Int__Collect_1 ).
cnf(i_0_424,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Collect(X4,X2)),X2))
| ~ hBOOL(hAPP(X4,X1))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_Int__Collect_2 ).
cnf(i_0_425,axiom,
( c_Lubs_OisLub(X2,X3,X4,X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_Osetge(X4,c_Collect(c_Lubs_OisUb(X2,X3,X1),X1),X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4)) ),
cls_isLubI2_0 ).
cnf(i_0_426,axiom,
( c_Collect(X1,X2) = c_Collect(X3,X2)
| ~ hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2))) ),
cls_Collect__cong_1 ).
cnf(i_0_427,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal),X1)),
cls_conjecture_0 ).
cnf(i_0_428,axiom,
( c_Collect(X1,X2) = c_Collect(X3,X2)
| hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2)))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2))) ),
cls_Collect__cong_0 ).
cnf(i_0_429,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Collect(X1,X3),X3)) ),
cls_CollectD_0 ).
cnf(i_0_430,axiom,
( hBOOL(c_in(X1,c_Collect(X2,X3),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_CollectI_0 ).
cnf(i_0_431,axiom,
( c_Lubs_Oubs(X2,X3,X1) = c_Collect(c_Lubs_OisUb(X2,X3,X1),X1)
| ~ class_HOL_Oord(X1) ),
cls_ubs__def_0 ).
cnf(i_0_432,axiom,
hBOOL(c_in(v_sko__local__Xthx__1(v_P),c_Collect(v_P,tc_RealDef_Oreal),tc_RealDef_Oreal)),
cls_thx_0 ).
cnf(i_0_433,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X2,X1)
| ~ hBOOL(hAPP(X2,X3)) ),
cls_empty__Collect__eq_0 ).
cnf(i_0_434,axiom,
( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
cls_Collect__empty__eq_0 ).
cnf(i_0_435,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Collect(c_COMBK(c_True,tc_bool,X1),X1),
cls_UNIV__def_0 ).
cnf(i_0_436,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X6,X7,X8,X1,X9,X10,X11,X5) ),
cls_complete__lattice_Oinf__Inf__fold__inf_0,
[final] ).
cnf(i_0_437,axiom,
( hAPP(hAPP(X1,X2),hAPP(X3,X4)) = c_Finite__Set_Ofold(X1,X2,X4,X5,X5)
| ~ c_Finite__Set_Ofinite(X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X7,X8,X9,X1,X10,X11,X5) ),
cls_complete__lattice_Osup__Sup__fold__sup_0,
[final] ).
cnf(i_0_438,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X3,X9,X10,X4,X5) ),
cls_complete__lattice_OInf__fold__inf_0,
[final] ).
cnf(i_0_439,axiom,
( hAPP(X1,X2) = c_Finite__Set_Ofold(X3,X4,X2,X5,X5)
| ~ c_Finite__Set_Ofinite(X2,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X3,X4,X10,X5) ),
cls_complete__lattice_OSup__fold__sup_0,
[final] ).
cnf(i_0_440,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ hBOOL(c_in(X4,X3,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
cls_complete__lattice_OInf__lower_0,
[final] ).
cnf(i_0_441,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
cls_complete__lattice_OSup__upper_0,
[final] ).
cnf(i_0_442,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
cls_complete__lattice_OInf__empty_0,
[final] ).
cnf(i_0_443,axiom,
( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
cls_complete__lattice_OSup__empty_0,
[final] ).
cnf(i_0_444,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X3,X9,X2) ),
cls_complete__lattice_OInf__UNIV_0,
[final] ).
cnf(i_0_445,axiom,
( hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))) = X3
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X3,X2) ),
cls_complete__lattice_OSup__UNIV_0,
[final] ).
cnf(i_0_446,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X2)),
cls_Un__Int__crazy_0,
[final] ).
cnf(i_0_447,plain,
c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X1,X2,tc_bool,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_COMBB(X3,X1,X2,tc_bool,X5)),c_COMBB(X4,X1,X2,tc_bool,X5)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_396,c_0_397]),c_0_397]),c_0_397]),
[final] ).
cnf(i_0_448,plain,
c_COMBB(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X1,X2,tc_bool,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_COMBB(X3,X1,X2,tc_bool,X5)),c_COMBB(X4,X1,X2,tc_bool,X5)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_398,c_0_397]),c_0_397]),c_0_397]),
[final] ).
cnf(i_0_449,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_COMBB(X3,X1,X4,tc_bool,X5),X5)) ),
inference(rw,[status(thm)],[i_0_399,c_0_397]),
[final] ).
cnf(i_0_450,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,c_COMBB(X3,X1,X4,tc_bool,X5),X5)) ),
inference(rw,[status(thm)],[i_0_400,c_0_397]),
[final] ).
cnf(i_0_451,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_COMBB(X1,X2,X5,tc_bool,X4),X3)) ),
inference(rw,[status(thm)],[i_0_401,c_0_397]),
[final] ).
cnf(i_0_452,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4),X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3) ),
cls_finite__range__imageI_0,
[final] ).
cnf(i_0_453,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(X2,X1,X4,tc_bool,X3),X3,X4),X2,tc_fun(X4,tc_bool)),
inference(rw,[status(thm)],[i_0_402,c_0_397]),
[final] ).
cnf(i_0_454,plain,
( hBOOL(c_in(X1,c_COMBB(X3,X2,X5,tc_bool,X4),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
inference(rw,[status(thm)],[i_0_403,c_0_397]),
[final] ).
cnf(i_0_455,plain,
( hBOOL(c_in(X1,c_COMBB(X3,X2,X5,tc_bool,X4),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
inference(rw,[status(thm)],[i_0_404,c_0_397]),
[final] ).
cnf(i_0_456,plain,
( hBOOL(c_in(X1,c_COMBB(X3,X2,X5,tc_bool,X4),X4))
| ~ hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
inference(rw,[status(thm)],[i_0_405,c_0_397]),
[final] ).
cnf(i_0_457,plain,
( c_lessequals(c_COMBB(X2,X1,X4,tc_bool,X3),c_COMBB(X5,X1,X4,tc_bool,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_406,c_0_397]),c_0_397]),
[final] ).
cnf(i_0_458,plain,
( hBOOL(hAPP(c_COMBB(X2,X1,X4,tc_bool,X3),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
inference(rw,[status(thm)],[i_0_407,c_0_397]),
[final] ).
cnf(i_0_459,axiom,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
cls_image__Int__subset_0,
[final] ).
cnf(i_0_460,plain,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_Finite__Set_Ofinite(c_COMBB(c_Not,X2,tc_bool,tc_bool,X1),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_408,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_461,plain,
( c_lessequals(c_COMBB(X2,X1,X4,tc_bool,X3),X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
inference(rw,[status(thm)],[i_0_409,c_0_397]),
[final] ).
cnf(i_0_462,axiom,
c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X3),X3,X4),
cls_range__composition_0,
[final] ).
cnf(i_0_463,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
cls_image__image_0,
[final] ).
cnf(i_0_464,plain,
c_Set_Oimage(X1,c_COMBB(X2,X1,X4,tc_bool,X3),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
inference(rw,[status(thm)],[i_0_410,c_0_397]),
[final] ).
cnf(i_0_465,plain,
( c_Finite__Set_Ofinite(c_COMBB(X2,X1,X4,tc_bool,X3),X3)
| ~ c_Finite__Set_Ofinite(X2,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(rw,[status(thm)],[i_0_411,c_0_397]),
[final] ).
cnf(i_0_466,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
cls_inj__on__image__Int_0,
[final] ).
cnf(i_0_467,axiom,
( c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X3,X1,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X2),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X4,X3,X1))
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_fold__inf__le__inf_0,
[final] ).
cnf(i_0_468,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X3,X4,X1,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_sup__le__fold__sup_0,
[final] ).
cnf(i_0_469,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
cls_image__Int_0,
[final] ).
cnf(i_0_470,plain,
( c_Finite__Set_Ofinite(c_COMBB(c_Not,X1,tc_bool,tc_bool,X2),X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_412,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_471,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0,
[final] ).
cnf(i_0_472,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__mem__iff_0,
[final] ).
cnf(i_0_473,plain,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool))
| ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_413,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_474,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))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__subset__iff_0,
[final] ).
cnf(i_0_475,plain,
( c_COMBB(c_Set_Oimage(X1,X2,X3,X4),X1,X4,tc_bool,X3) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(rw,[status(thm)],[i_0_414,c_0_397]),
[final] ).
cnf(i_0_476,axiom,
c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),
cls_image__Un_0,
[final] ).
cnf(i_0_477,axiom,
( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) ),
cls_Un__Int__assoc__eq_0,
[final] ).
cnf(i_0_478,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1),X2,X1))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_415,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_479,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__image__mem__iff_1,
[final] ).
cnf(i_0_480,plain,
( hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X5,X1)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_416,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_481,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
cls_Int__Un__distrib2_0,
[final] ).
cnf(i_0_482,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
cls_Un__Int__distrib2_0,
[final] ).
cnf(i_0_483,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))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__subset__iff_1,
[final] ).
cnf(i_0_484,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
cls_inj__on__Un__image__eq__iff_0,
[final] ).
cnf(i_0_485,axiom,
( c_Set_Oimage(X1,X2,X3,X3) = X2
| ~ c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_endo__inj__surj_0,
[final] ).
cnf(i_0_486,plain,
( c_COMBB(X4,c_COMBK(X1,X2,X3),X2,tc_bool,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X2)) ),
inference(rw,[status(thm)],[i_0_417,c_0_397]),
[final] ).
cnf(i_0_487,plain,
( c_COMBB(X4,c_COMBK(X1,X2,X3),X2,tc_bool,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| hBOOL(c_in(X1,X4,X2)) ),
inference(rw,[status(thm)],[i_0_418,c_0_397]),
[final] ).
cnf(i_0_488,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
cls_Int__Un__distrib_0,
[final] ).
cnf(i_0_489,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
cls_Un__Int__distrib_0,
[final] ).
cnf(i_0_490,axiom,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
cls_rangeI_0,
[final] ).
cnf(i_0_491,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
cls_image__eqI_0,
[final] ).
cnf(i_0_492,axiom,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
cls_imageI_0,
[final] ).
cnf(i_0_493,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_rev__image__eqI_0,
[final] ).
cnf(i_0_494,axiom,
( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_image__iff_2,
[final] ).
cnf(i_0_495,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Complete__Lattice_OSup__class_OSup(X3,X1)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),X2,X3,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_sup__Sup__fold__sup_0,
[final] ).
cnf(i_0_496,axiom,
( hBOOL(c_in(X1,X2,X3))
| hBOOL(c_in(X1,X4,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
cls_UnE_0,
[final] ).
cnf(i_0_497,plain,
c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[i_0_419,c_0_397]),
[final] ).
cnf(i_0_498,plain,
c_COMBB(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[i_0_420,c_0_397]),
[final] ).
cnf(i_0_499,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
cls_Un__Int__assoc__eq_1,
[final] ).
cnf(i_0_500,axiom,
( c_Complete__Lattice_OSup__class_OSup(X2,X1) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1),X2,X1,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Sup__fold__sup_0,
[final] ).
cnf(i_0_501,axiom,
c_Finite__Set_Ofold(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4) = X2,
cls_fold__empty_0,
[final] ).
cnf(i_0_502,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__eq__iff_0,
[final] ).
cnf(i_0_503,axiom,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
cls_image__subset__iff_0,
[final] ).
cnf(i_0_504,plain,
c_COMBB(X2,c_COMBI(X1),X1,tc_bool,X1) = X2,
inference(rw,[status(thm)],[i_0_421,c_0_397]),
[final] ).
cnf(i_0_505,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
cls_finite__imageD_0,
[final] ).
cnf(i_0_506,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)) ),
cls_image__mono_0,
[final] ).
cnf(i_0_507,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)) ),
cls_subset__image__iff_2,
[final] ).
cnf(i_0_508,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
cls_IntE_0,
[final] ).
cnf(i_0_509,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3)) ),
inference(rw,[status(thm)],[i_0_422,c_0_395]),
[final] ).
cnf(i_0_510,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3)) ),
cls_IntE_1,
[final] ).
cnf(i_0_511,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__surj__inj_0,
[final] ).
cnf(i_0_512,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
cls_Int__assoc_0,
[final] ).
cnf(i_0_513,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)),
cls_Un__assoc_0,
[final] ).
cnf(i_0_514,axiom,
( c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,c_RComplete_Osko__RComplete__Xreals__complete__1__1(X1),tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,tc_RealDef_Oreal),X2))
| ~ hBOOL(c_in(X3,X1,tc_RealDef_Oreal)) ),
cls_reals__complete_0,
[final] ).
cnf(i_0_515,axiom,
( c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,c_Deriv_Osko__Deriv__Xlemma__reals__complete__1__1(X1),tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,tc_RealDef_Oreal),X2))
| ~ hBOOL(c_in(X3,X1,tc_RealDef_Oreal)) ),
cls_lemma__reals__complete_0,
[final] ).
cnf(i_0_516,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X3)) ),
inference(rw,[status(thm)],[i_0_423,c_0_395]),
[final] ).
cnf(i_0_517,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X2),X5),X3,X4) ),
cls_inj__on__Un_0,
[final] ).
cnf(i_0_518,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),X2),X3,X4) ),
cls_inj__on__Un_1,
[final] ).
cnf(i_0_519,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__inf__le_0,
[final] ).
cnf(i_0_520,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__sup__le_0,
[final] ).
cnf(i_0_521,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_IntI_0,
[final] ).
cnf(i_0_522,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_Int__iff_2,
[final] ).
cnf(i_0_523,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),X3),X1),X2)) ),
cls_sup1E_0,
[final] ).
cnf(i_0_524,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
cls_inf1E_0,
[final] ).
cnf(i_0_525,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
cls_inf1E_1,
[final] ).
cnf(i_0_526,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X5) ),
cls_finite__surj_0,
[final] ).
cnf(i_0_527,plain,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(hAPP(X4,X1))
| ~ hBOOL(c_in(X1,X3,X2)) ),
inference(rw,[status(thm)],[i_0_424,c_0_395]),
[final] ).
cnf(i_0_528,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Int__mono_0,
[final] ).
cnf(i_0_529,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Un__mono_0,
[final] ).
cnf(i_0_530,plain,
( c_Lubs_OisLub(X2,X3,X4,X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_Osetge(X4,c_Lubs_OisUb(X2,X3,X1),X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4)) ),
inference(rw,[status(thm)],[i_0_425,c_0_395]),
[final] ).
cnf(i_0_531,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
cls_Int__left__commute_0,
[final] ).
cnf(i_0_532,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X4)),
cls_Un__left__commute_0,
[final] ).
cnf(i_0_533,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X3,X2)) ),
cls_UnCI_1,
[final] ).
cnf(i_0_534,axiom,
( hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4),X2))
| ~ hBOOL(c_in(X1,X4,X2)) ),
cls_UnCI_0,
[final] ).
cnf(i_0_535,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X5,X1),X3))
| ~ c_Lubs_OisLub(X4,X5,X2,X1) ),
cls_isLub__le__isUb_0,
[final] ).
cnf(i_0_536,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5)) ),
cls_inj__onD_0,
[final] ).
cnf(i_0_537,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__def_0,
[final] ).
cnf(i_0_538,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__iff_0,
[final] ).
cnf(i_0_539,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ hBOOL(c_in(X3,X4,X5))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__contraD_0,
[final] ).
cnf(i_0_540,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1),X3))
| hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(X2,X3,X1),X2,X1))
| ~ class_HOL_Oord(X1) ),
cls_isUb__UNIV__I_0,
[final] ).
cnf(i_0_541,axiom,
( X1 = X2
| ~ c_Lubs_OisLub(X3,X4,X2,tc_RealDef_Oreal)
| ~ c_Lubs_OisLub(X3,X4,X1,tc_RealDef_Oreal) ),
cls_real__isLub__unique_0,
[final] ).
cnf(i_0_542,plain,
( X1 = X3
| ~ hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2)))
| ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_426,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_543,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
cls_subset__inj__on_0,
[final] ).
cnf(i_0_544,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)))
| ~ class_RealVector_Otopological__space(X1)
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X3))
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X2)) ),
cls_open__Int_0,
[final] ).
cnf(i_0_545,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)))
| ~ class_RealVector_Otopological__space(X1)
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X3))
| ~ hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),X2)) ),
cls_open__Un_0,
[final] ).
cnf(i_0_546,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X3))
| ~ c_RealVector_Otopological__space(X1,X2) ),
cls_topological__space_Oopen__Int_0,
[final] ).
cnf(i_0_547,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X4)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X3))
| ~ c_RealVector_Otopological__space(X1,X2) ),
cls_topological__space_Oopen__Un_0,
[final] ).
cnf(i_0_548,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1),X3))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(X2,X3,X1),X3,X1) ),
cls_isUb__UNIV__I_1,
[final] ).
cnf(i_0_549,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_inf1I_0,
[final] ).
cnf(i_0_550,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rw,[status(thm)],[i_0_427,c_0_395]),
[final] ).
cnf(i_0_551,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_sup1CI_1,
[final] ).
cnf(i_0_552,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4)) ),
cls_sup1CI_0,
[final] ).
cnf(i_0_553,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X4),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_0,
[final] ).
cnf(i_0_554,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X4),X1),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_1,
[final] ).
cnf(i_0_555,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_0,
[final] ).
cnf(i_0_556,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_1,
[final] ).
cnf(i_0_557,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4))
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X2,X3,X4,X1) ),
cls_isLub__isUb_0,
[final] ).
cnf(i_0_558,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Lubs_OisLub(X5,X4,X3,X1) ),
cls_isLubD2_0,
[final] ).
cnf(i_0_559,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib2_0,
[final] ).
cnf(i_0_560,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib2_0,
[final] ).
cnf(i_0_561,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ hBOOL(hAPP(c_Lubs_OisUb(X5,X4,X1),X3)) ),
cls_isUbD_0,
[final] ).
cnf(i_0_562,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_disjoint__iff__not__equal_0,
[final] ).
cnf(i_0_563,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Un__least_0,
[final] ).
cnf(i_0_564,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X4,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Un__subset__iff_2,
[final] ).
cnf(i_0_565,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Int__subset__iff_2,
[final] ).
cnf(i_0_566,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Int__greatest_0,
[final] ).
cnf(i_0_567,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
cls_Int__left__absorb_0,
[final] ).
cnf(i_0_568,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),
cls_Un__left__absorb_0,
[final] ).
cnf(i_0_569,axiom,
( c_lessequals(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_lessequals(X2,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X4,X1),X1)
| ~ c_Finite__Set_Ofinite(X4,X1) ),
cls_below__fold1__iff_0,
[final] ).
cnf(i_0_570,axiom,
( c_Lubs_Osetge(X2,c_Lubs_Oubs(X3,X4,X1),X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X3,X4,X2,X1) ),
cls_isLub__ubs_0,
[final] ).
cnf(i_0_571,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__imageI_0,
[final] ).
cnf(i_0_572,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib1_0,
[final] ).
cnf(i_0_573,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib1_0,
[final] ).
cnf(i_0_574,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_injD_0,
[final] ).
cnf(i_0_575,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4))
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Lubs_Osetle(X3,X4,X1) ),
cls_isUb__def_2,
[final] ).
cnf(i_0_576,axiom,
( hBOOL(hAPP(c_Lubs_OisUb(X2,X3,X1),X4))
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X4,X2,X1))
| ~ c_Lubs_Osetle(X3,X4,X1) ),
cls_isUbI_0,
[final] ).
cnf(i_0_577,axiom,
( hBOOL(c_in(X2,X3,X1))
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X3,X4,X2,X1) ),
cls_isLubD1a_0,
[final] ).
cnf(i_0_578,axiom,
( hBOOL(c_in(X2,X3,X1))
| ~ class_HOL_Oord(X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X3,X4,X1),X2)) ),
cls_isUbD2a_0,
[final] ).
cnf(i_0_579,plain,
( X1 = X3
| hBOOL(hAPP(X3,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2)))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X1,X3,X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_428,c_0_395]),c_0_395]),
[final] ).
cnf(i_0_580,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),X2) ),
cls_finite__Un_0,
[final] ).
cnf(i_0_581,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),X2) ),
cls_finite__Un_1,
[final] ).
cnf(i_0_582,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
cls_empty__is__image_0,
[final] ).
cnf(i_0_583,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
cls_image__is__empty_0,
[final] ).
cnf(i_0_584,axiom,
( c_Lubs_Osetle(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ c_Lubs_OisLub(X4,X2,X3,X1) ),
cls_isLubD1_0,
[final] ).
cnf(i_0_585,axiom,
( c_Lubs_Osetle(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X2,X1),X3)) ),
cls_isUbD2_0,
[final] ).
cnf(i_0_586,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_image__constant__conv_0,
[final] ).
cnf(i_0_587,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__fun__eq_0,
[final] ).
cnf(i_0_588,axiom,
( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X1)),X2),X3),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,v_x)),hAPP(X3,v_x))
| ~ class_Lattices_Olattice(X1) ),
cls_sup__fun__eq_0,
[final] ).
cnf(i_0_589,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I2_J_0,
[final] ).
cnf(i_0_590,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__assoc_0,
[final] ).
cnf(i_0_591,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I6_J_0,
[final] ).
cnf(i_0_592,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__assoc_0,
[final] ).
cnf(i_0_593,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_set__mp_0,
[final] ).
cnf(i_0_594,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subsetD_0,
[final] ).
cnf(i_0_595,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(c_in(X1,X4,X3)) ),
cls_set__rev__mp_0,
[final] ).
cnf(i_0_596,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff_0,
[final] ).
cnf(i_0_597,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
cls_bex__empty_0,
[final] ).
cnf(i_0_598,axiom,
( c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ hBOOL(c_in(X3,X2,X1))
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__belowI_0,
[final] ).
cnf(i_0_599,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
cls_ball__empty_0,
[final] ).
cnf(i_0_600,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
cls_Int__lower1_0,
[final] ).
cnf(i_0_601,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
cls_Int__lower2_0,
[final] ).
cnf(i_0_602,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
cls_Un__upper1_0,
[final] ).
cnf(i_0_603,axiom,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
cls_Un__upper2_0,
[final] ).
cnf(i_0_604,axiom,
( c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ class_RealVector_Otopological__space(X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X3,X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X2,X1) ),
cls_closed__Int_0,
[final] ).
cnf(i_0_605,axiom,
( c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ class_RealVector_Otopological__space(X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X3,X1)
| ~ c_RealVector_Otopological__space__class_Oclosed(X2,X1) ),
cls_closed__Un_0,
[final] ).
cnf(i_0_606,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__UnI_0,
[final] ).
cnf(i_0_607,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__Un_2,
[final] ).
cnf(i_0_608,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_609,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
cls_empty__iff_0,
[final] ).
cnf(i_0_610,axiom,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
cls_emptyE_0,
[final] ).
cnf(i_0_611,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__sup__iff_2,
[final] ).
cnf(i_0_612,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_sup__least_0,
[final] ).
cnf(i_0_613,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI_0,
[final] ).
cnf(i_0_614,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_inf__greatest_0,
[final] ).
cnf(i_0_615,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__inf__iff_2,
[final] ).
cnf(i_0_616,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__infI_0,
[final] ).
cnf(i_0_617,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_inf__eq__neg__sup_0,
[final] ).
cnf(i_0_618,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1)),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_sup__eq__neg__inf_0,
[final] ).
cnf(i_0_619,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Un__empty_2,
[final] ).
cnf(i_0_620,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)),
cls_image__empty_0,
[final] ).
cnf(i_0_621,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1,
[final] ).
cnf(i_0_622,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_Lubs_Osetge(X2,X4,X1) ),
cls_setgeD_0,
[final] ).
cnf(i_0_623,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X3,X4,X1))
| ~ c_Lubs_Osetge(X2,X4,X1) ),
cls_setge__def_0,
[final] ).
cnf(i_0_624,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Lubs_Osetle(X4,X3,X1) ),
cls_setleD_0,
[final] ).
cnf(i_0_625,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ hBOOL(c_in(X2,X4,X1))
| ~ c_Lubs_Osetle(X4,X3,X1) ),
cls_setle__def_0,
[final] ).
cnf(i_0_626,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__Int_0,
[final] ).
cnf(i_0_627,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_finite__Int_1,
[final] ).
cnf(i_0_628,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__trans_0,
[final] ).
cnf(i_0_629,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I3_J_0,
[final] ).
cnf(i_0_630,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__commute_0,
[final] ).
cnf(i_0_631,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I7_J_0,
[final] ).
cnf(i_0_632,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4))
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__commute_0,
[final] ).
cnf(i_0_633,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
cls_le__sup__iff_0,
[final] ).
cnf(i_0_634,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X4),X3,X1) ),
cls_le__supE_0,
[final] ).
cnf(i_0_635,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
cls_le__sup__iff_1,
[final] ).
cnf(i_0_636,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X4),X2),X3,X1) ),
cls_le__supE_1,
[final] ).
cnf(i_0_637,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
cls_le__inf__iff_0,
[final] ).
cnf(i_0_638,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
cls_le__infE_0,
[final] ).
cnf(i_0_639,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
cls_le__inf__iff_1,
[final] ).
cnf(i_0_640,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
cls_le__infE_1,
[final] ).
cnf(i_0_641,axiom,
( c_lessequals(X2,X3,tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != X3 ),
cls_subset__Un__eq_1,
[final] ).
cnf(i_0_642,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
cls_inj__on__empty_0,
[final] ).
cnf(i_0_643,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Un__empty_0,
[final] ).
cnf(i_0_644,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Un__empty_1,
[final] ).
cnf(i_0_645,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
cls_Int__commute_0,
[final] ).
cnf(i_0_646,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),X2),
cls_Un__commute_0,
[final] ).
cnf(i_0_647,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0,
[final] ).
cnf(i_0_648,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Un__UNIV__left_0,
[final] ).
cnf(i_0_649,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Int__absorb2_0,
[final] ).
cnf(i_0_650,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Int__absorb1_0,
[final] ).
cnf(i_0_651,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Un__absorb2_0,
[final] ).
cnf(i_0_652,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Un__absorb1_0,
[final] ).
cnf(i_0_653,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ hBOOL(c_in(X2,X3,X1)) ),
cls_Sup__upper_0,
[final] ).
cnf(i_0_654,axiom,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
cls_image__ident_0,
[final] ).
cnf(i_0_655,axiom,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
cls_inj__on__id2_0,
[final] ).
cnf(i_0_656,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_neg__inf__eq__sup_0,
[final] ).
cnf(i_0_657,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__inf_0,
[final] ).
cnf(i_0_658,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_neg__sup__eq__inf_0,
[final] ).
cnf(i_0_659,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__sup_0,
[final] ).
cnf(i_0_660,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__infI1_0,
[final] ).
cnf(i_0_661,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_le__infI2_0,
[final] ).
cnf(i_0_662,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__supI1_0,
[final] ).
cnf(i_0_663,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI2_0,
[final] ).
cnf(i_0_664,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
cls_Int__UNIV__left_0,
[final] ).
cnf(i_0_665,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = X2,
cls_Un__empty__left_0,
[final] ).
cnf(i_0_666,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_set__eq__subset_2,
[final] ).
cnf(i_0_667,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0,
[final] ).
cnf(i_0_668,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
cls_le__funD_0,
[final] ).
cnf(i_0_669,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__trans_0,
[final] ).
cnf(i_0_670,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I6_J_0,
[final] ).
cnf(i_0_671,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)) ),
cls_subset__empty_0,
[final] ).
cnf(i_0_672,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__le__iff__le_0,
[final] ).
cnf(i_0_673,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__right_0,
[final] ).
cnf(i_0_674,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Un__UNIV__right_0,
[final] ).
cnf(i_0_675,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__le__iff_0,
[final] ).
cnf(i_0_676,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__le__iff_1,
[final] ).
cnf(i_0_677,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__iff_0,
[final] ).
cnf(i_0_678,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__iff_1,
[final] ).
cnf(i_0_679,axiom,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
cls_UNIV__I_0,
[final] ).
cnf(i_0_680,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I4_J_0,
[final] ).
cnf(i_0_681,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__idem_0,
[final] ).
cnf(i_0_682,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I8_J_0,
[final] ).
cnf(i_0_683,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__idem_0,
[final] ).
cnf(i_0_684,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_685,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rw,[status(thm)],[i_0_429,c_0_395]),
[final] ).
cnf(i_0_686,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0,
[final] ).
cnf(i_0_687,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0,
[final] ).
cnf(i_0_688,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0,
[final] ).
cnf(i_0_689,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__imp__neg__le_0,
[final] ).
cnf(i_0_690,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
cls_compl__unique_0,
[final] ).
cnf(i_0_691,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
cls_Int__UNIV__right_0,
[final] ).
cnf(i_0_692,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
cls_Un__empty__right_0,
[final] ).
cnf(i_0_693,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__antisym_0,
[final] ).
cnf(i_0_694,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2,
[final] ).
cnf(i_0_695,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0,
[final] ).
cnf(i_0_696,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)),
cls_subset__empty_1,
[final] ).
cnf(i_0_697,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I1_J_0,
[final] ).
cnf(i_0_698,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le1_0,
[final] ).
cnf(i_0_699,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I2_J_0,
[final] ).
cnf(i_0_700,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le2_0,
[final] ).
cnf(i_0_701,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0,
[final] ).
cnf(i_0_702,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge1_0,
[final] ).
cnf(i_0_703,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I4_J_0,
[final] ).
cnf(i_0_704,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge2_0,
[final] ).
cnf(i_0_705,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__absorb_0,
[final] ).
cnf(i_0_706,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_sup__inf__absorb_0,
[final] ).
cnf(i_0_707,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_rev__finite__subset_0,
[final] ).
cnf(i_0_708,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_finite__subset_0,
[final] ).
cnf(i_0_709,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(rw,[status(thm)],[i_0_430,c_0_395]),
[final] ).
cnf(i_0_710,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_711,axiom,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
cls_topological__space_Oopen__empty_0,
[final] ).
cnf(i_0_712,axiom,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
cls_topological__space_Oopen__UNIV_0,
[final] ).
cnf(i_0_713,axiom,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
cls_bot__empty__eq_0,
[final] ).
cnf(i_0_714,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))
| ~ class_RealVector_Otopological__space(X1) ),
cls_open__empty_0,
[final] ).
cnf(i_0_715,axiom,
( hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))))
| ~ class_RealVector_Otopological__space(X1) ),
cls_open__UNIV_0,
[final] ).
cnf(i_0_716,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__inf_0,
[final] ).
cnf(i_0_717,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_inf__absorb2_0,
[final] ).
cnf(i_0_718,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_sup__absorb1_0,
[final] ).
cnf(i_0_719,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__sup_0,
[final] ).
cnf(i_0_720,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
cls_le__iff__inf_1,
[final] ).
cnf(i_0_721,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != X3 ),
cls_le__iff__sup_1,
[final] ).
cnf(i_0_722,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Int__absorb_0,
[final] ).
cnf(i_0_723,axiom,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Un__absorb_0,
[final] ).
cnf(i_0_724,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_725,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0,
[final] ).
cnf(i_0_726,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0,
[final] ).
cnf(i_0_727,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_728,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_729,plain,
( c_Lubs_Oubs(X2,X3,X1) = c_Lubs_OisUb(X2,X3,X1)
| ~ class_HOL_Oord(X1) ),
inference(rw,[status(thm)],[i_0_431,c_0_395]),
[final] ).
cnf(i_0_730,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__inf__bot_0,
[final] ).
cnf(i_0_731,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_HOL_Ouminus__class_Ouminus(X2,X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__sup__top_0,
[final] ).
cnf(i_0_732,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I1_J_0,
[final] ).
cnf(i_0_733,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0,
[final] ).
cnf(i_0_734,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I5_J_0,
[final] ).
cnf(i_0_735,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X2)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__commute_0,
[final] ).
cnf(i_0_736,plain,
hBOOL(c_in(v_sko__local__Xthx__1(v_P),v_P,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[i_0_432,c_0_395]),
[final] ).
cnf(i_0_737,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq1_0,
[final] ).
cnf(i_0_738,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq1_0,
[final] ).
cnf(i_0_739,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq2_0,
[final] ).
cnf(i_0_740,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq2_0,
[final] ).
cnf(i_0_741,axiom,
( c_HOL_Oord__class_Oless(X1,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal)
| ~ hBOOL(hAPP(v_P,X1)) ),
cls_CHAINED_0,
[final] ).
cnf(i_0_742,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[i_0_433,c_0_395]),
[final] ).
cnf(i_0_743,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rw,[status(thm)],[i_0_434,c_0_395]),
[final] ).
cnf(i_0_744,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_inf__compl__bot_0,
[final] ).
cnf(i_0_745,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_HOL_Ouminus__class_Ouminus(X2,X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_sup__compl__top_0,
[final] ).
cnf(i_0_746,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_747,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_UNIV__not__empty_0,
[final] ).
cnf(i_0_748,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_COMBK(c_True,tc_bool,X1),
inference(rw,[status(thm)],[i_0_435,c_0_395]),
[final] ).
cnf(i_0_749,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_750,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_751,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__empty_0,
[final] ).
cnf(i_0_752,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__UNIV_0,
[final] ).
cnf(i_0_753,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__left_0,
[final] ).
cnf(i_0_754,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Otop__class_Otop(X1)),X2) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0,
[final] ).
cnf(i_0_755,axiom,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__fun__eq_0,
[final] ).
cnf(i_0_756,axiom,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__fun__eq_0,
[final] ).
cnf(i_0_757,axiom,
( c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_RealVector_Otopological__space(X1) ),
cls_closed__empty_0,
[final] ).
cnf(i_0_758,axiom,
( c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_RealVector_Otopological__space(X1) ),
cls_closed__UNIV_0,
[final] ).
cnf(i_0_759,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite__UNIV_0,
[final] ).
cnf(i_0_760,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0,
[final] ).
cnf(i_0_761,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Orderings_Obot__class_Obot(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__left_0,
[final] ).
cnf(i_0_762,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__right_0,
[final] ).
cnf(i_0_763,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__right_0,
[final] ).
cnf(i_0_764,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_765,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_766,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__right_0,
[final] ).
cnf(i_0_767,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Orderings_Obot__class_Obot(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__right_0,
[final] ).
cnf(i_0_768,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_finite_OemptyI_0,
[final] ).
cnf(i_0_769,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_770,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_771,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_772,axiom,
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X2) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_773,axiom,
c_fequal(X1,X1,X2),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_774,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
cls_neg__equal__iff__equal_0,
[final] ).
cnf(i_0_775,axiom,
( X2 = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
cls_compl__eq__compl__iff_0,
[final] ).
cnf(i_0_776,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__minus_0,
[final] ).
cnf(i_0_777,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__equation__iff_1,
[final] ).
cnf(i_0_778,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_double__compl_0,
[final] ).
cnf(i_0_779,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_0,
[final] ).
cnf(i_0_780,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_1,
[final] ).
cnf(i_0_781,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
clsarity_fun__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_782,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_783,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_784,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_785,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_786,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_787,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_788,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_789,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_790,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_791,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_792,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
clsarity_fun__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_793,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
| ~ class_Lattices_Oboolean__algebra(X2) ),
clsarity_fun__Lattices_Oboolean__algebra,
[final] ).
cnf(i_0_794,axiom,
hBOOL(hAPP(v_P,v_sko__local__Xassms__1__1(v_P))),
cls_assms_I1_J_0,
[final] ).
cnf(i_0_795,axiom,
hBOOL(hAPP(v_P,v_sko__local__Xex__1(v_P))),
cls_ex_0,
[final] ).
cnf(i_0_796,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__bot__eq_0,
[final] ).
cnf(i_0_797,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__top__eq_0,
[final] ).
cnf(i_0_798,axiom,
( c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(X1),X1)
| ~ class_RealVector_Otopological__space(X1) ),
cls_topological__space__class_Oaxioms_0,
[final] ).
cnf(i_0_799,axiom,
hBOOL(hAPP(v_P,v_x____)),
cls_x_0,
[final] ).
cnf(i_0_800,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite_0,
[final] ).
cnf(i_0_801,axiom,
hAPP(c_COMBI(X1),X2) = X2,
cls_COMBI__def_0,
[final] ).
cnf(i_0_802,axiom,
hAPP(c_COMBI(t_a),v_P) = v_P,
cls_COMBI__def__raw_0,
[final] ).
cnf(i_0_803,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_804,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Olinorder,
[final] ).
cnf(i_0_805,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Opreorder,
[final] ).
cnf(i_0_806,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_807,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_808,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_809,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_810,axiom,
class_RealVector_Otopological__space(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Otopological__space,
[final] ).
cnf(i_0_811,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Oorder,
[final] ).
cnf(i_0_812,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_813,axiom,
class_Lattices_Olattice(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Lattices_Olattice,
[final] ).
cnf(i_0_814,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_815,axiom,
class_HOL_Oord(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__HOL_Oord,
[final] ).
cnf(i_0_816,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_817,axiom,
class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_818,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_819,axiom,
class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_820,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_821,axiom,
class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_822,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_823,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_824,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,
[final] ).
cnf(i_0_825,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,
[final] ).
cnf(i_0_826,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,
[final] ).
cnf(i_0_827,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra,
[final] ).
cnf(i_0_828,axiom,
X1 = X1 ).
cnf(i_0_829,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_830,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_831,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_832,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_833,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_834,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_835,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_836,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_837,axiom,
( X1 != X2
| c_COMBK(X1,X3,X4) = c_COMBK(X2,X3,X4) ) ).
cnf(i_0_838,axiom,
( X1 != X2
| c_COMBK(X3,X1,X4) = c_COMBK(X3,X2,X4) ) ).
cnf(i_0_839,axiom,
( X1 != X2
| c_COMBK(X3,X4,X1) = c_COMBK(X3,X4,X2) ) ).
cnf(i_0_840,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_841,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_842,axiom,
( X1 != X2
| c_Lubs_OisUb(X1,X3,X4) = c_Lubs_OisUb(X2,X3,X4) ) ).
cnf(i_0_843,axiom,
( X1 != X2
| c_Lubs_OisUb(X3,X1,X4) = c_Lubs_OisUb(X3,X2,X4) ) ).
cnf(i_0_844,axiom,
( X1 != X2
| c_Lubs_OisUb(X3,X4,X1) = c_Lubs_OisUb(X3,X4,X2) ) ).
cnf(i_0_845,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X1,X3,X4,X5,X6) = c_Finite__Set_Ofold(X2,X3,X4,X5,X6) ) ).
cnf(i_0_846,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X1,X4,X5,X6) = c_Finite__Set_Ofold(X3,X2,X4,X5,X6) ) ).
cnf(i_0_847,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X4,X1,X5,X6) = c_Finite__Set_Ofold(X3,X4,X2,X5,X6) ) ).
cnf(i_0_848,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X4,X5,X1,X6) = c_Finite__Set_Ofold(X3,X4,X5,X2,X6) ) ).
cnf(i_0_849,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X4,X5,X6,X1) = c_Finite__Set_Ofold(X3,X4,X5,X6,X2) ) ).
cnf(i_0_850,axiom,
( X1 != X2
| c_Lubs_Oubs(X1,X3,X4) = c_Lubs_Oubs(X2,X3,X4) ) ).
cnf(i_0_851,axiom,
( X1 != X2
| c_Lubs_Oubs(X3,X1,X4) = c_Lubs_Oubs(X3,X2,X4) ) ).
cnf(i_0_852,axiom,
( X1 != X2
| c_Lubs_Oubs(X3,X4,X1) = c_Lubs_Oubs(X3,X4,X2) ) ).
cnf(i_0_853,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_854,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_855,axiom,
( X1 != X2
| c_in(X1,X3,X4) = c_in(X2,X3,X4) ) ).
cnf(i_0_856,axiom,
( X1 != X2
| c_in(X3,X1,X4) = c_in(X3,X2,X4) ) ).
cnf(i_0_857,axiom,
( X1 != X2
| c_in(X3,X4,X1) = c_in(X3,X4,X2) ) ).
cnf(i_0_858,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_859,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_860,axiom,
( X1 != X2
| c_COMBB(X1,X3,X4,X5,X6) = c_COMBB(X2,X3,X4,X5,X6) ) ).
cnf(i_0_861,axiom,
( X1 != X2
| c_COMBB(X3,X1,X4,X5,X6) = c_COMBB(X3,X2,X4,X5,X6) ) ).
cnf(i_0_862,axiom,
( X1 != X2
| c_COMBB(X3,X4,X1,X5,X6) = c_COMBB(X3,X4,X2,X5,X6) ) ).
cnf(i_0_863,axiom,
( X1 != X2
| c_COMBB(X3,X4,X5,X1,X6) = c_COMBB(X3,X4,X5,X2,X6) ) ).
cnf(i_0_864,axiom,
( X1 != X2
| c_COMBB(X3,X4,X5,X6,X1) = c_COMBB(X3,X4,X5,X6,X2) ) ).
cnf(i_0_865,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_866,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_867,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_868,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_869,axiom,
( X1 != X2
| ~ c_Lubs_Osetge(X1,X3,X4)
| c_Lubs_Osetge(X2,X3,X4) ) ).
cnf(i_0_870,axiom,
( X1 != X2
| ~ c_Lubs_Osetge(X3,X1,X4)
| c_Lubs_Osetge(X3,X2,X4) ) ).
cnf(i_0_871,axiom,
( X1 != X2
| ~ c_Lubs_Osetge(X3,X4,X1)
| c_Lubs_Osetge(X3,X4,X2) ) ).
cnf(i_0_872,axiom,
( X1 != X2
| ~ class_RealVector_Otopological__space(X1)
| class_RealVector_Otopological__space(X2) ) ).
cnf(i_0_873,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space(X1,X3)
| c_RealVector_Otopological__space(X2,X3) ) ).
cnf(i_0_874,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space(X3,X1)
| c_RealVector_Otopological__space(X3,X2) ) ).
cnf(i_0_875,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_876,axiom,
( X1 != X2
| ~ c_Lubs_Osetle(X1,X3,X4)
| c_Lubs_Osetle(X2,X3,X4) ) ).
cnf(i_0_877,axiom,
( X1 != X2
| ~ c_Lubs_Osetle(X3,X1,X4)
| c_Lubs_Osetle(X3,X2,X4) ) ).
cnf(i_0_878,axiom,
( X1 != X2
| ~ c_Lubs_Osetle(X3,X4,X1)
| c_Lubs_Osetle(X3,X4,X2) ) ).
cnf(i_0_879,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space__class_Oclosed(X1,X3)
| c_RealVector_Otopological__space__class_Oclosed(X2,X3) ) ).
cnf(i_0_880,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space__class_Oclosed(X3,X1)
| c_RealVector_Otopological__space__class_Oclosed(X3,X2) ) ).
cnf(i_0_881,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_882,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_883,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_884,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_885,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_886,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_887,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_888,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_889,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_890,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_891,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_892,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_893,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_894,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_895,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_896,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_897,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_898,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_899,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_900,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_901,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_902,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_903,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_904,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_905,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_906,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_907,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_908,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_909,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_910,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_911,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_912,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_913,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_914,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_915,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_916,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_917,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_918,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X1,X3,X4,X5)
| c_Lubs_OisLub(X2,X3,X4,X5) ) ).
cnf(i_0_919,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X3,X1,X4,X5)
| c_Lubs_OisLub(X3,X2,X4,X5) ) ).
cnf(i_0_920,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X3,X4,X1,X5)
| c_Lubs_OisLub(X3,X4,X2,X5) ) ).
cnf(i_0_921,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X3,X4,X5,X1)
| c_Lubs_OisLub(X3,X4,X5,X2) ) ).
cnf(i_0_828_001,axiom,
X1 = X1 ).
cnf(i_0_829_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_830_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_831_004,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_832_005,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_833_006,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_834_007,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_835_008,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_836_009,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_837_010,axiom,
( X1 != X2
| c_COMBK(X1,X3,X4) = c_COMBK(X2,X3,X4) ) ).
cnf(i_0_838_011,axiom,
( X1 != X2
| c_COMBK(X3,X1,X4) = c_COMBK(X3,X2,X4) ) ).
cnf(i_0_839_012,axiom,
( X1 != X2
| c_COMBK(X3,X4,X1) = c_COMBK(X3,X4,X2) ) ).
cnf(i_0_840_013,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_841_014,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_842_015,axiom,
( X1 != X2
| c_Lubs_OisUb(X1,X3,X4) = c_Lubs_OisUb(X2,X3,X4) ) ).
cnf(i_0_843_016,axiom,
( X1 != X2
| c_Lubs_OisUb(X3,X1,X4) = c_Lubs_OisUb(X3,X2,X4) ) ).
cnf(i_0_844_017,axiom,
( X1 != X2
| c_Lubs_OisUb(X3,X4,X1) = c_Lubs_OisUb(X3,X4,X2) ) ).
cnf(i_0_845_018,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X1,X3,X4,X5,X6) = c_Finite__Set_Ofold(X2,X3,X4,X5,X6) ) ).
cnf(i_0_846_019,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X1,X4,X5,X6) = c_Finite__Set_Ofold(X3,X2,X4,X5,X6) ) ).
cnf(i_0_847_020,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X4,X1,X5,X6) = c_Finite__Set_Ofold(X3,X4,X2,X5,X6) ) ).
cnf(i_0_848_021,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X4,X5,X1,X6) = c_Finite__Set_Ofold(X3,X4,X5,X2,X6) ) ).
cnf(i_0_849_022,axiom,
( X1 != X2
| c_Finite__Set_Ofold(X3,X4,X5,X6,X1) = c_Finite__Set_Ofold(X3,X4,X5,X6,X2) ) ).
cnf(i_0_850_023,axiom,
( X1 != X2
| c_Lubs_Oubs(X1,X3,X4) = c_Lubs_Oubs(X2,X3,X4) ) ).
cnf(i_0_851_024,axiom,
( X1 != X2
| c_Lubs_Oubs(X3,X1,X4) = c_Lubs_Oubs(X3,X2,X4) ) ).
cnf(i_0_852_025,axiom,
( X1 != X2
| c_Lubs_Oubs(X3,X4,X1) = c_Lubs_Oubs(X3,X4,X2) ) ).
cnf(i_0_853_026,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_854_027,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_855_028,axiom,
( X1 != X2
| c_in(X1,X3,X4) = c_in(X2,X3,X4) ) ).
cnf(i_0_856_029,axiom,
( X1 != X2
| c_in(X3,X1,X4) = c_in(X3,X2,X4) ) ).
cnf(i_0_857_030,axiom,
( X1 != X2
| c_in(X3,X4,X1) = c_in(X3,X4,X2) ) ).
cnf(i_0_858_031,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_859_032,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_860_033,axiom,
( X1 != X2
| c_COMBB(X1,X3,X4,X5,X6) = c_COMBB(X2,X3,X4,X5,X6) ) ).
cnf(i_0_861_034,axiom,
( X1 != X2
| c_COMBB(X3,X1,X4,X5,X6) = c_COMBB(X3,X2,X4,X5,X6) ) ).
cnf(i_0_862_035,axiom,
( X1 != X2
| c_COMBB(X3,X4,X1,X5,X6) = c_COMBB(X3,X4,X2,X5,X6) ) ).
cnf(i_0_863_036,axiom,
( X1 != X2
| c_COMBB(X3,X4,X5,X1,X6) = c_COMBB(X3,X4,X5,X2,X6) ) ).
cnf(i_0_864_037,axiom,
( X1 != X2
| c_COMBB(X3,X4,X5,X6,X1) = c_COMBB(X3,X4,X5,X6,X2) ) ).
cnf(i_0_865_038,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_866_039,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_867_040,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_868_041,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_869_042,axiom,
( X1 != X2
| ~ c_Lubs_Osetge(X1,X3,X4)
| c_Lubs_Osetge(X2,X3,X4) ) ).
cnf(i_0_870_043,axiom,
( X1 != X2
| ~ c_Lubs_Osetge(X3,X1,X4)
| c_Lubs_Osetge(X3,X2,X4) ) ).
cnf(i_0_871_044,axiom,
( X1 != X2
| ~ c_Lubs_Osetge(X3,X4,X1)
| c_Lubs_Osetge(X3,X4,X2) ) ).
cnf(i_0_872_045,axiom,
( X1 != X2
| ~ class_RealVector_Otopological__space(X1)
| class_RealVector_Otopological__space(X2) ) ).
cnf(i_0_873_046,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space(X1,X3)
| c_RealVector_Otopological__space(X2,X3) ) ).
cnf(i_0_874_047,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space(X3,X1)
| c_RealVector_Otopological__space(X3,X2) ) ).
cnf(i_0_875_048,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_876_049,axiom,
( X1 != X2
| ~ c_Lubs_Osetle(X1,X3,X4)
| c_Lubs_Osetle(X2,X3,X4) ) ).
cnf(i_0_877_050,axiom,
( X1 != X2
| ~ c_Lubs_Osetle(X3,X1,X4)
| c_Lubs_Osetle(X3,X2,X4) ) ).
cnf(i_0_878_051,axiom,
( X1 != X2
| ~ c_Lubs_Osetle(X3,X4,X1)
| c_Lubs_Osetle(X3,X4,X2) ) ).
cnf(i_0_879_052,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space__class_Oclosed(X1,X3)
| c_RealVector_Otopological__space__class_Oclosed(X2,X3) ) ).
cnf(i_0_880_053,axiom,
( X1 != X2
| ~ c_RealVector_Otopological__space__class_Oclosed(X3,X1)
| c_RealVector_Otopological__space__class_Oclosed(X3,X2) ) ).
cnf(i_0_881_054,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_882_055,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_883_056,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X3,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_884_057,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X1,X4,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_885_058,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X1,X5,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).
cnf(i_0_886_059,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X1,X6,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).
cnf(i_0_887_060,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X1,X7,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).
cnf(i_0_888_061,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X1,X8,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).
cnf(i_0_889_062,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X1,X9,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).
cnf(i_0_890_063,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X1,X10)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).
cnf(i_0_891_064,axiom,
( X1 != X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X1)
| c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).
cnf(i_0_892_065,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_893_066,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_894_067,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_895_068,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_896_069,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_897_070,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_898_071,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_899_072,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_900_073,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_901_074,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_902_075,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_903_076,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_904_077,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_905_078,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_906_079,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_907_080,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_908_081,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_909_082,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_910_083,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_911_084,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_912_085,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_913_086,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_914_087,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_915_088,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_916_089,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_917_090,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_918_091,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X1,X3,X4,X5)
| c_Lubs_OisLub(X2,X3,X4,X5) ) ).
cnf(i_0_919_092,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X3,X1,X4,X5)
| c_Lubs_OisLub(X3,X2,X4,X5) ) ).
cnf(i_0_920_093,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X3,X4,X1,X5)
| c_Lubs_OisLub(X3,X4,X2,X5) ) ).
cnf(i_0_921_094,axiom,
( X1 != X2
| ~ c_Lubs_OisLub(X3,X4,X5,X1)
| c_Lubs_OisLub(X3,X4,X5,X2) ) ).
cnf(i_0_922,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X1),X1),X3,X4) ),
inference(equality_inference,[],[484]) ).
cnf(i_0_923,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[502]) ).
cnf(i_0_924,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,X3,X4,X5)
| ~ hBOOL(c_in(X1,X3,X4))
| ~ hBOOL(c_in(X1,X3,X4)) ),
inference(equality_inference,[],[539]) ).
cnf(i_0_925,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[574]) ).
cnf(i_0_926,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[742]) ).
cnf(i_0_927,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[743]) ).
cnf(i_0_928,plain,
( X1 = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(equality_inference,[],[774]) ).
cnf(i_0_929,plain,
( X1 = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(equality_inference,[],[775]) ).
cnf(i_0_930,plain,
~ hBOOL(c_in(X1,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2)),
inference(scs_inference,[],[i_0_550,i_0_686]) ).
cnf(i_0_931,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_932,plain,
~ c_RealVector_Otopological__space(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),
inference(scs_inference,[],[i_0_550,i_0_686,i_0_711]) ).
cnf(i_0_933,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_934,plain,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_935,plain,
~ c_RealVector_Otopological__space(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),
inference(scs_inference,[],[i_0_550,i_0_684,i_0_686,i_0_711,i_0_712]) ).
cnf(i_0_936,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_684]) ).
cnf(i_0_937,plain,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_938,plain,
c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507]) ).
cnf(i_0_939,plain,
( ~ 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(rename_variables,[],[i_0_507]) ).
cnf(i_0_940,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3)),X4),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_602,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553]) ).
cnf(i_0_941,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_942,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_553]) ).
cnf(i_0_943,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1)),X4),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_602,i_0_941,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554]) ).
cnf(i_0_944,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_945,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_554]) ).
cnf(i_0_946,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X1,X2,tc_bool,X5),X5,X2),X3,tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_602,i_0_941,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555]) ).
cnf(i_0_947,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(X2,X1,X3,tc_bool,X4),X4,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_948,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_555]) ).
cnf(i_0_949,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X1,X2,tc_bool,X5),X5,X2),X4,tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_602,i_0_941,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556]) ).
cnf(i_0_950,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(X2,X1,X3,tc_bool,X4),X4,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_951,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_952,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_747,i_0_602,i_0_941,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671]) ).
cnf(i_0_953,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(rename_variables,[],[i_0_671]) ).
cnf(i_0_954,plain,
hBOOL(c_in(v_x____,v_P,X1)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_747,i_0_602,i_0_941,i_0_799,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710]) ).
cnf(i_0_955,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_956,plain,
c_HOL_Oord__class_Oless(v_x____,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_747,i_0_602,i_0_941,i_0_799,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741]) ).
cnf(i_0_957,plain,
( ~ hBOOL(hAPP(v_P,X1))
| c_HOL_Oord__class_Oless(X1,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_741]) ).
cnf(i_0_958,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742]) ).
cnf(i_0_959,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_742]) ).
cnf(i_0_960,plain,
~ hBOOL(hAPP(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3)),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743]) ).
cnf(i_0_961,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_962,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_963,plain,
~ c_fequal(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746]) ).
cnf(i_0_964,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_965,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769]) ).
cnf(i_0_966,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_769]) ).
cnf(i_0_967,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770]) ).
cnf(i_0_968,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_770]) ).
cnf(i_0_969,plain,
c_Set_Oimage(c_COMBB(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829]) ).
cnf(i_0_970,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_725,i_0_453,i_0_947,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800]) ).
cnf(i_0_971,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_972,plain,
hAPP(v_P,v_x____) != hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_725,i_0_453,i_0_947,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906]) ).
cnf(i_0_973,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_750,i_0_725,i_0_453,i_0_947,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480]) ).
cnf(i_0_974,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_975,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X1,X3,X4)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_480]) ).
cnf(i_0_976,plain,
hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),v_P,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_750,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540]) ).
cnf(i_0_977,plain,
( hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1),X3))
| hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(X2,X3,X1),X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(rename_variables,[],[i_0_540]) ).
cnf(i_0_978,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_750,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548]) ).
cnf(i_0_979,plain,
( hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1),X3))
| ~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(X2,X3,X1),X3,X1)
| ~ class_HOL_Oord(X1) ),
inference(rename_variables,[],[i_0_548]) ).
cnf(i_0_980,plain,
~ c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_750,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557]) ).
cnf(i_0_981,plain,
( hBOOL(hAPP(c_Lubs_OisUb(X1,X2,X3),X4))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_OisLub(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_557]) ).
cnf(i_0_982,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_750,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_936,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579]) ).
cnf(i_0_983,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_684]) ).
cnf(i_0_984,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_985,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| X2 = X1 ),
inference(rename_variables,[],[i_0_579]) ).
cnf(i_0_986,plain,
~ c_lessequals(v_P,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_936,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688]) ).
cnf(i_0_987,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_988,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_688]) ).
cnf(i_0_989,plain,
c_lessequals(c_COMBB(c_Set_Oimage(c_COMBI(X1),X2,X1,X1),c_COMBI(X1),X1,tc_bool,X1),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_936,i_0_655,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461]) ).
cnf(i_0_990,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_991,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_992,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_COMBB(X4,X1,X3,tc_bool,X2),X5,tc_fun(X2,tc_bool))
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_461]) ).
cnf(i_0_993,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473]) ).
cnf(i_0_994,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_724]) ).
cnf(i_0_995,plain,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X1,X4)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X1),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_996,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_610,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478]) ).
cnf(i_0_997,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_610]) ).
cnf(i_0_998,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_999,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X1,X2,X3,X4),X1,X4))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_1000,plain,
~ c_lessequals(c_Set_Oimage(X1,v_P,tc_RealDef_Oreal,X2),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503]) ).
cnf(i_0_1001,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_610]) ).
cnf(i_0_1002,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1003,plain,
~ c_Lubs_OisLub(c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577]) ).
cnf(i_0_1004,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_610]) ).
cnf(i_0_1005,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_OisLub(X2,X4,X1,X3) ),
inference(rename_variables,[],[i_0_577]) ).
cnf(i_0_1006,plain,
~ c_lessequals(v_P,c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)),tc_fun(tc_RealDef_Oreal,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596]) ).
cnf(i_0_1007,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_610]) ).
cnf(i_0_1008,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_596]) ).
cnf(i_0_1009,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_821,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634]) ).
cnf(i_0_1010,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1011,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_821,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636]) ).
cnf(i_0_1012,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_636]) ).
cnf(i_0_1013,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638]) ).
cnf(i_0_1014,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1015,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640]) ).
cnf(i_0_1016,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_640]) ).
cnf(i_0_1017,plain,
c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653]) ).
cnf(i_0_1018,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1019,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_653]) ).
cnf(i_0_1020,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_bool,X3),X3,X1),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667]) ).
cnf(i_0_1021,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(X2,X1,X3,tc_bool,X4),X4,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_1022,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_1023,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1024,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676]) ).
cnf(i_0_1025,plain,
( ~ 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(rename_variables,[],[i_0_676]) ).
cnf(i_0_1026,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678]) ).
cnf(i_0_1027,plain,
( ~ 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(rename_variables,[],[i_0_678]) ).
cnf(i_0_1028,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X2),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708]) ).
cnf(i_0_1029,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(X2,X1,X3,tc_bool,X4),X4,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_1030,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_708]) ).
cnf(i_0_1031,plain,
c_lessequals(c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728]) ).
cnf(i_0_1032,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_728]) ).
cnf(i_0_1033,plain,
c_Set_Oimage(c_COMBI(X1),c_Set_Oimage(X2,c_Set_Oimage(X3,X4,X5,X6),X6,X7),X1,X1) = c_Set_Oimage(c_COMBB(X2,X3,X6,X7,X5),X4,X5,X7),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830]) ).
cnf(i_0_1034,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1035,plain,
~ c_RealVector_Otopological__space(c_Set_Oimage(c_COMBI(X1),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1,X1),X2),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873]) ).
cnf(i_0_1036,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1037,plain,
~ c_fequal(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900]) ).
cnf(i_0_1038,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1039,plain,
~ c_fequal(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X2),X3),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901]) ).
cnf(i_0_1040,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1041,plain,
~ c_lessequals(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908]) ).
cnf(i_0_1042,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1043,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X2),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909]) ).
cnf(i_0_1044,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1045,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),tc_fun(X1,tc_bool),X2,X2)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910]) ).
cnf(i_0_1046,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1047,plain,
~ c_Lubs_OisLub(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,X1),v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918]) ).
cnf(i_0_1048,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1049,plain,
~ c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Set_Oimage(c_COMBI(X1),v_P,X1,X1),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919]) ).
cnf(i_0_1050,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1051,plain,
~ c_Lubs_OisLub(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,X1),v_P,c_Set_Oimage(c_COMBI(X2),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),X2,X2),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920]) ).
cnf(i_0_1052,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1053,plain,
~ c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),c_Set_Oimage(c_COMBI(X3),tc_RealDef_Oreal,X3,X3)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921]) ).
cnf(i_0_1054,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1055,plain,
c_Finite__Set_Ofinite(c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBI(X1),X1,tc_bool,X1),X1),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505]) ).
cnf(i_0_1056,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_1057,plain,
( ~ 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(rename_variables,[],[i_0_505]) ).
cnf(i_0_1058,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X3),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526]) ).
cnf(i_0_1059,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_1060,plain,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_1061,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1062,plain,
~ c_Lubs_Osetle(v_P,X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576]) ).
cnf(i_0_1063,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_1064,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1065,plain,
( hBOOL(hAPP(c_Lubs_OisUb(X1,X2,X3),X4))
| ~ hBOOL(c_in(X4,X1,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetle(X2,X4,X3) ),
inference(rename_variables,[],[i_0_576]) ).
cnf(i_0_1066,plain,
~ c_Lubs_OisLub(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558]) ).
cnf(i_0_1067,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1068,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| c_lessequals(X1,X4,X3)
| ~ c_Lubs_OisLub(X5,X2,X4,X3) ),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1069,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623]) ).
cnf(i_0_1070,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1071,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetge(X4,X2,X3)
| c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_623]) ).
cnf(i_0_1072,plain,
~ c_Lubs_Osetle(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625]) ).
cnf(i_0_1073,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1074,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetle(X2,X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_1075,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,X2,tc_bool,X3,X4),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452]) ).
cnf(i_0_1076,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_1077,plain,
~ c_Lubs_OisLub(X1,v_P,X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584]) ).
cnf(i_0_1078,plain,
( ~ class_HOL_Oord(X1)
| c_Lubs_Osetle(X2,X3,X1)
| ~ c_Lubs_OisLub(X4,X2,X3,X1) ),
inference(rename_variables,[],[i_0_584]) ).
cnf(i_0_1079,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672]) ).
cnf(i_0_1080,plain,
( ~ 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_lessequals(X3,X1,X2) ),
inference(rename_variables,[],[i_0_672]) ).
cnf(i_0_1081,plain,
( class_Lattices_Olattice(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867]) ).
cnf(i_0_1082,plain,
~ c_Lubs_Osetge(c_Set_Oimage(c_COMBI(X1),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal),X1,X1),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869]) ).
cnf(i_0_1083,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1084,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),c_Set_Oimage(c_COMBI(X3),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X3,X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870]) ).
cnf(i_0_1085,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1086,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Set_Oimage(c_COMBI(X3),tc_RealDef_Oreal,X3,X3)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871]) ).
cnf(i_0_1087,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1088,plain,
~ c_Lubs_Osetle(c_Set_Oimage(c_COMBI(X1),v_P,X1,X1),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876]) ).
cnf(i_0_1089,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1090,plain,
~ c_Lubs_Osetle(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Set_Oimage(c_COMBI(X1),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),X1,X1),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877]) ).
cnf(i_0_1091,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1092,plain,
~ c_Lubs_Osetle(v_P,X1,c_Set_Oimage(c_COMBI(X2),tc_RealDef_Oreal,X2,X2)),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878]) ).
cnf(i_0_1093,plain,
c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1094,plain,
c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1,c_Set_Oimage(c_COMBB(X2,X3,tc_bool,tc_RealDef_Oreal,X4),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),hAPP(c_COMBB(X2,X3,tc_bool,tc_RealDef_Oreal,X4),X5)),X1),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467]) ).
cnf(i_0_1095,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1096,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X4,X2,X3,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_467]) ).
cnf(i_0_1097,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(c_COMBB(X1,X2,tc_bool,tc_RealDef_Oreal,X3),X4)),X5),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X5,c_Set_Oimage(c_COMBB(X1,X2,tc_bool,tc_RealDef_Oreal,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468]) ).
cnf(i_0_1098,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1099,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_468]) ).
cnf(i_0_1100,plain,
c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_Set_Oimage(c_COMBB(X1,X2,tc_bool,tc_RealDef_Oreal,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),hAPP(c_COMBB(X1,X2,tc_bool,tc_RealDef_Oreal,X3),X4),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_1098,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468,i_0_598]) ).
cnf(i_0_1101,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1102,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X3),X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_1103,plain,
( class_HOL_Oord(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_1098,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_812,i_0_813,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468,i_0_598,i_0_868]) ).
cnf(i_0_1104,plain,
( class_RealVector_Otopological__space(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_1098,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_810,i_0_812,i_0_813,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468,i_0_598,i_0_868,i_0_872]) ).
cnf(i_0_1105,plain,
( class_Lattices_Odistrib__lattice(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_1098,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_810,i_0_812,i_0_813,i_0_817,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468,i_0_598,i_0_868,i_0_872,i_0_875]) ).
cnf(i_0_1106,plain,
( class_OrderedGroup_Olordered__ab__group__add(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_1098,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_810,i_0_812,i_0_813,i_0_817,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_826,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468,i_0_598,i_0_868,i_0_872,i_0_875,i_0_881]) ).
cnf(i_0_1107,plain,
( class_Lattices_Oboolean__algebra(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_933,i_0_974,i_0_984,i_0_987,i_0_750,i_0_991,i_0_998,i_0_725,i_0_453,i_0_947,i_0_950,i_0_1021,i_0_815,i_0_463,i_0_654,i_0_961,i_0_1034,i_0_1036,i_0_1038,i_0_1040,i_0_1042,i_0_1044,i_0_1046,i_0_1048,i_0_1050,i_0_1052,i_0_1054,i_0_1083,i_0_1085,i_0_1087,i_0_1089,i_0_1091,i_0_747,i_0_602,i_0_941,i_0_799,i_0_621,i_0_736,i_0_610,i_0_997,i_0_1001,i_0_1004,i_0_679,i_0_1018,i_0_1064,i_0_1067,i_0_1070,i_0_684,i_0_936,i_0_724,i_0_490,i_0_1095,i_0_1098,i_0_655,i_0_990,i_0_804,i_0_805,i_0_807,i_0_810,i_0_812,i_0_813,i_0_817,i_0_819,i_0_820,i_0_821,i_0_823,i_0_824,i_0_826,i_0_827,i_0_768,i_0_686,i_0_711,i_0_712,i_0_507,i_0_553,i_0_554,i_0_555,i_0_556,i_0_671,i_0_710,i_0_741,i_0_742,i_0_743,i_0_746,i_0_769,i_0_770,i_0_829,i_0_800,i_0_906,i_0_480,i_0_540,i_0_548,i_0_557,i_0_579,i_0_688,i_0_461,i_0_473,i_0_478,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_667,i_0_676,i_0_678,i_0_708,i_0_728,i_0_830,i_0_873,i_0_900,i_0_901,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_920,i_0_921,i_0_505,i_0_526,i_0_576,i_0_558,i_0_623,i_0_625,i_0_452,i_0_584,i_0_672,i_0_867,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_467,i_0_468,i_0_598,i_0_868,i_0_872,i_0_875,i_0_881,i_0_882]) ).
cnf(i_0_1108,plain,
class_Lattices_Olattice(tc_RealDef_Oreal),
inference(equality_inference,[],[1081]) ).
cnf(i_0_1109,plain,
class_HOL_Oord(tc_RealDef_Oreal),
inference(equality_inference,[],[1103]) ).
cnf(i_0_1110,plain,
class_RealVector_Otopological__space(tc_RealDef_Oreal),
inference(equality_inference,[],[1104]) ).
cnf(i_0_1111,plain,
class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
inference(equality_inference,[],[1105]) ).
cnf(i_0_1112,plain,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
inference(equality_inference,[],[1106]) ).
cnf(i_0_1113,plain,
class_Lattices_Oboolean__algebra(tc_bool),
inference(equality_inference,[],[1107]) ).
cnf(i_0_1114,plain,
~ class_Orderings_Otop(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_978,i_0_765]) ).
cnf(i_0_1115,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1116,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_1117,plain,
v_P != c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_765,i_0_831]) ).
cnf(i_0_1118,plain,
hAPP(v_P,v_x____) != hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),
inference(rename_variables,[],[i_0_972]) ).
cnf(i_0_1119,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),X4)),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_960,i_0_765,i_0_831,i_0_686]) ).
cnf(i_0_1120,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_1121,plain,
hBOOL(c_in(v_sko__local__Xassms__1__1(v_P),v_P,X1)),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_960,i_0_794,i_0_765,i_0_831,i_0_686,i_0_710]) ).
cnf(i_0_1122,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_1123,plain,
c_HOL_Oord__class_Oless(v_sko__local__Xassms__1__1(v_P),v_sko__CHAINED__1(v_P),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_960,i_0_794,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741]) ).
cnf(i_0_1124,plain,
( ~ hBOOL(hAPP(v_P,X1))
| c_HOL_Oord__class_Oless(X1,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_741]) ).
cnf(i_0_1125,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4)),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_960,i_0_1020,i_0_794,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742]) ).
cnf(i_0_1126,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_742]) ).
cnf(i_0_1127,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3)),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_691,i_0_960,i_0_1020,i_0_794,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743]) ).
cnf(i_0_1128,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1129,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1130,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,X3,tc_bool,X4,X5),X4,X6,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X6),X6),
inference(scs_inference,[],[i_0_972,i_0_978,i_0_691,i_0_960,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452]) ).
cnf(i_0_1131,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_1132,plain,
~ c_fequal(hAPP(v_P,v_x____),hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),X2),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_978,i_0_691,i_0_960,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746]) ).
cnf(i_0_1133,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_1134,plain,
~ c_RealVector_Otopological__space(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_978,i_0_691,i_0_960,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711]) ).
cnf(i_0_1135,plain,
~ hBOOL(hAPP(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3)),
inference(rename_variables,[],[i_0_960]) ).
cnf(i_0_1136,plain,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_1137,plain,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2,X4),c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X5),X2,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_978,i_0_691,i_0_960,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507]) ).
cnf(i_0_1138,plain,
( ~ 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(rename_variables,[],[i_0_507]) ).
cnf(i_0_1139,plain,
~ c_RealVector_Otopological__space(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_978,i_0_691,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712]) ).
cnf(i_0_1140,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
inference(rename_variables,[],[i_0_958]) ).
cnf(i_0_1141,plain,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_1142,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X4)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_978,i_0_691,i_0_603,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553]) ).
cnf(i_0_1143,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_603]) ).
cnf(i_0_1144,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_553]) ).
cnf(i_0_1145,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_978,i_0_691,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554]) ).
cnf(i_0_1146,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_603]) ).
cnf(i_0_1147,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_554]) ).
cnf(i_0_1148,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_978,i_0_691,i_0_600,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555]) ).
cnf(i_0_1149,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1150,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_555]) ).
cnf(i_0_1151,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_978,i_0_691,i_0_600,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556]) ).
cnf(i_0_1152,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1153,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_691,i_0_600,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829]) ).
cnf(i_0_1154,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X5,X6,X7,X8,X9,X10),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_691,i_0_600,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_679,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441]) ).
cnf(i_0_1155,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1156,plain,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
inference(rename_variables,[],[i_0_441]) ).
cnf(i_0_1157,plain,
~ c_lessequals(v_P,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_986,i_0_691,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_679,i_0_1075,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628]) ).
cnf(i_0_1158,plain,
~ c_lessequals(v_P,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_986]) ).
cnf(i_0_1159,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1160,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_628]) ).
cnf(i_0_1161,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_986,i_0_691,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_679,i_0_1075,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662]) ).
cnf(i_0_1162,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1163,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_662]) ).
cnf(i_0_1164,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_679,i_0_1075,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663]) ).
cnf(i_0_1165,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1166,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1167,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),X6,X7,X8,X9,X10,X11),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_679,i_0_1075,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885]) ).
cnf(i_0_1168,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1169,plain,
tc_bool != tc_RealDef_Oreal,
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_794,i_0_679,i_0_1075,i_0_803,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904]) ).
cnf(i_0_1170,plain,
c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_1020,i_0_938,i_0_794,i_0_679,i_0_1058,i_0_1075,i_0_803,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511]) ).
cnf(i_0_1171,plain,
c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_938]) ).
cnf(i_0_1172,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X3),
inference(rename_variables,[],[i_0_1058]) ).
cnf(i_0_1173,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X1,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Fun_Oinj__on(X2,X1,X3,X3) ),
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_1174,plain,
c_lessequals(c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X1),X2,X1,X1)),X3),c_COMBI(X1),X1,tc_bool,X1),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_794,i_0_679,i_0_1058,i_0_1075,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474]) ).
cnf(i_0_1175,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_1176,plain,
c_lessequals(c_Set_Oimage(X1,c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X1,X2,tc_bool,X5),X5,X2),X3,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_946]) ).
cnf(i_0_1177,plain,
( ~ 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(rename_variables,[],[i_0_474]) ).
cnf(i_0_1178,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X4),
inference(scs_inference,[],[i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_794,i_0_679,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543]) ).
cnf(i_0_1179,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1180,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_1181,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),
inference(scs_inference,[],[i_0_550,i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_794,i_0_679,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579]) ).
cnf(i_0_1182,plain,
~ hBOOL(hAPP(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3)),
inference(rename_variables,[],[i_0_960]) ).
cnf(i_0_1183,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_1184,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| X2 = X1 ),
inference(rename_variables,[],[i_0_579]) ).
cnf(i_0_1185,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_982,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_794,i_0_679,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688]) ).
cnf(i_0_1186,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_724]) ).
cnf(i_0_1187,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_688]) ).
cnf(i_0_1188,plain,
~ c_lessequals(c_Set_Oimage(X1,v_P,tc_RealDef_Oreal,X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_794,i_0_679,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503]) ).
cnf(i_0_1189,plain,
~ hBOOL(c_in(X1,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_1190,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1191,plain,
~ c_Lubs_OisLub(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1,X2,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_816,i_0_794,i_0_679,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577]) ).
cnf(i_0_1192,plain,
~ hBOOL(c_in(X1,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_1193,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_OisLub(X2,X4,X1,X3) ),
inference(rename_variables,[],[i_0_577]) ).
cnf(i_0_1194,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596]) ).
cnf(i_0_1195,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1196,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_596]) ).
cnf(i_0_1197,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X2),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_967,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634]) ).
cnf(i_0_1198,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1199,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1200,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X2),X1),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_967,i_0_1198,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636]) ).
cnf(i_0_1201,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1202,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_636]) ).
cnf(i_0_1203,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_967,i_0_1198,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_819,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638]) ).
cnf(i_0_1204,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_1205,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1206,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_967,i_0_1198,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_819,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640]) ).
cnf(i_0_1207,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_1208,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_640]) ).
cnf(i_0_1209,plain,
~ class_Complete__Lattice_Ocomplete__lattice(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_967,i_0_1198,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_819,i_0_821,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653]) ).
cnf(i_0_1210,plain,
hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),v_P,tc_RealDef_Oreal)),
inference(rename_variables,[],[i_0_976]) ).
cnf(i_0_1211,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1212,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_653]) ).
cnf(i_0_1213,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672]) ).
cnf(i_0_1214,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1026]) ).
cnf(i_0_1215,plain,
( ~ 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_lessequals(X3,X1,X2) ),
inference(rename_variables,[],[i_0_672]) ).
cnf(i_0_1216,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676]) ).
cnf(i_0_1217,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_1218,plain,
( ~ 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(rename_variables,[],[i_0_676]) ).
cnf(i_0_1219,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678]) ).
cnf(i_0_1220,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_1221,plain,
( ~ 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(rename_variables,[],[i_0_678]) ).
cnf(i_0_1222,plain,
c_lessequals(X1,c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728]) ).
cnf(i_0_1223,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_728]) ).
cnf(i_0_1224,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_Set_Oimage(X3,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X4,tc_bool,X5),X5,X4),X4,X1)),X6),X1),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526]) ).
cnf(i_0_1225,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1226,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1227,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X5)),X6),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480]) ).
cnf(i_0_1228,plain,
~ hBOOL(hAPP(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3)),
inference(rename_variables,[],[i_0_960]) ).
cnf(i_0_1229,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X1,X3,X4)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_480]) ).
cnf(i_0_1230,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool))),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473]) ).
cnf(i_0_1231,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_724]) ).
cnf(i_0_1232,plain,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X1,X4)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X1),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_1233,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478]) ).
cnf(i_0_1234,plain,
~ hBOOL(c_in(X1,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2)),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_1235,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_726]) ).
cnf(i_0_1236,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X1,X2,X3,X4),X1,X4))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_1237,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667]) ).
cnf(i_0_1238,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1239,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_1240,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1241,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_bool,X3),X3,X1)),X4),X1),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708]) ).
cnf(i_0_1242,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1243,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_708]) ).
cnf(i_0_1244,plain,
c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),v_P,tc_RealDef_Oreal) != hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906]) ).
cnf(i_0_1245,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830]) ).
cnf(i_0_1246,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_1247,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Set_Oimage(c_COMBI(X4),tc_RealDef_Oreal,X4,X4)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_1168,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869]) ).
cnf(i_0_1248,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1249,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),c_Set_Oimage(c_COMBI(X4),tc_RealDef_Oreal,X4,X4)),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870]) ).
cnf(i_0_1250,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1251,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Set_Oimage(c_COMBI(X4),tc_RealDef_Oreal,X4,X4)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871]) ).
cnf(i_0_1252,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1253,plain,
~ c_Lubs_Osetle(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),v_P),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876]) ).
cnf(i_0_1254,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1255,plain,
~ c_Lubs_Osetle(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877]) ).
cnf(i_0_1256,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1257,plain,
~ c_Lubs_Osetle(v_P,X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878]) ).
cnf(i_0_1258,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1259,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908]) ).
cnf(i_0_1260,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1261,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_RealDef_Oreal),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909]) ).
cnf(i_0_1262,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1263,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910]) ).
cnf(i_0_1264,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1265,plain,
~ c_Lubs_OisLub(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1,X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918]) ).
cnf(i_0_1266,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_1267,plain,
~ c_Lubs_OisLub(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919]) ).
cnf(i_0_1268,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1269,plain,
~ c_Lubs_OisLub(c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921]) ).
cnf(i_0_1270,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1271,plain,
~ c_fequal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X2,X2)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900]) ).
cnf(i_0_1272,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1273,plain,
~ c_fequal(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X1),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X3),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901]) ).
cnf(i_0_1274,plain,
~ c_fequal(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1037]) ).
cnf(i_0_1275,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873]) ).
cnf(i_0_1276,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1277,plain,
~ c_Lubs_OisLub(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920]) ).
cnf(i_0_1278,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_691]) ).
cnf(i_0_1279,plain,
c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool)),X1),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_1066,i_0_1017,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_812,i_0_1058,i_0_1075,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920,i_0_695]) ).
cnf(i_0_1280,plain,
c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool),tc_bool),
inference(rename_variables,[],[i_0_1017]) ).
cnf(i_0_1281,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_695]) ).
cnf(i_0_1282,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),v_x____),X1),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1,v_P,tc_bool,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_954,i_0_1066,i_0_1017,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_812,i_0_1058,i_0_1075,i_0_970,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920,i_0_695,i_0_468]) ).
cnf(i_0_1283,plain,
hBOOL(c_in(v_x____,v_P,X1)),
inference(rename_variables,[],[i_0_954]) ).
cnf(i_0_1284,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_1285,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_468]) ).
cnf(i_0_1286,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_954,i_0_1066,i_0_1017,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_815,i_0_812,i_0_1058,i_0_1075,i_0_970,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920,i_0_695,i_0_468,i_0_623]) ).
cnf(i_0_1287,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1288,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetge(X4,X2,X3)
| c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_623]) ).
cnf(i_0_1289,plain,
( class_Orderings_Opreorder(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_954,i_0_1066,i_0_1017,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_815,i_0_806,i_0_812,i_0_1058,i_0_1075,i_0_970,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920,i_0_695,i_0_468,i_0_623,i_0_892]) ).
cnf(i_0_1290,plain,
( c_lessequals(X1,X1,X2)
| tc_bool != X2 ),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_954,i_0_1066,i_0_1017,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_815,i_0_806,i_0_812,i_0_1058,i_0_1075,i_0_970,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920,i_0_695,i_0_468,i_0_623,i_0_892,i_0_769]) ).
cnf(i_0_1291,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_769]) ).
cnf(i_0_1292,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2,
inference(rename_variables,[],[i_0_692]) ).
cnf(i_0_1293,plain,
( class_Orderings_Olinorder(X1)
| tc_bool != X2
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1183,i_0_972,i_0_1118,i_0_973,i_0_930,i_0_1189,i_0_1192,i_0_932,i_0_982,i_0_1246,i_0_1266,i_0_976,i_0_1210,i_0_978,i_0_1115,i_0_1162,i_0_1165,i_0_1211,i_0_1262,i_0_986,i_0_1062,i_0_691,i_0_1128,i_0_1168,i_0_1248,i_0_1250,i_0_1252,i_0_1254,i_0_1256,i_0_1258,i_0_1260,i_0_1264,i_0_1268,i_0_1270,i_0_1272,i_0_1276,i_0_1278,i_0_692,i_0_726,i_0_600,i_0_1149,i_0_1159,i_0_1179,i_0_1225,i_0_1238,i_0_603,i_0_1143,i_0_960,i_0_1135,i_0_1182,i_0_958,i_0_1028,i_0_1037,i_0_946,i_0_1020,i_0_938,i_0_1086,i_0_1003,i_0_965,i_0_1204,i_0_1207,i_0_1217,i_0_967,i_0_1198,i_0_954,i_0_1066,i_0_1017,i_0_1026,i_0_1072,i_0_816,i_0_794,i_0_679,i_0_1155,i_0_724,i_0_1186,i_0_725,i_0_747,i_0_815,i_0_806,i_0_811,i_0_812,i_0_1058,i_0_1075,i_0_970,i_0_642,i_0_803,i_0_822,i_0_655,i_0_804,i_0_819,i_0_821,i_0_824,i_0_765,i_0_831,i_0_686,i_0_710,i_0_741,i_0_742,i_0_743,i_0_452,i_0_746,i_0_711,i_0_507,i_0_712,i_0_553,i_0_554,i_0_555,i_0_556,i_0_829,i_0_441,i_0_628,i_0_662,i_0_663,i_0_885,i_0_904,i_0_511,i_0_474,i_0_543,i_0_579,i_0_688,i_0_503,i_0_577,i_0_596,i_0_634,i_0_636,i_0_638,i_0_640,i_0_653,i_0_672,i_0_676,i_0_678,i_0_728,i_0_526,i_0_480,i_0_473,i_0_478,i_0_667,i_0_708,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_877,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_919,i_0_921,i_0_900,i_0_901,i_0_873,i_0_920,i_0_695,i_0_468,i_0_623,i_0_892,i_0_769,i_0_895]) ).
cnf(i_0_1294,plain,
class_Orderings_Opreorder(tc_bool),
inference(equality_inference,[],[1289]) ).
cnf(i_0_1295,plain,
c_lessequals(X1,X1,tc_bool),
inference(equality_inference,[],[1290]) ).
cnf(i_0_1296,plain,
~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
inference(scs_inference,[],[i_0_1119,i_0_494]) ).
cnf(i_0_1297,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),X4)),
inference(rename_variables,[],[i_0_1119]) ).
cnf(i_0_1298,plain,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
inference(rename_variables,[],[i_0_494]) ).
cnf(i_0_1299,plain,
~ class_Orderings_Otop(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),
inference(scs_inference,[],[i_0_1119,i_0_1263,i_0_494,i_0_765]) ).
cnf(i_0_1300,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),
inference(rename_variables,[],[i_0_1263]) ).
cnf(i_0_1301,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_1302,plain,
hBOOL(c_in(v_sko__local__Xex__1(v_P),v_P,X1)),
inference(scs_inference,[],[i_0_1119,i_0_1263,i_0_795,i_0_494,i_0_765,i_0_710]) ).
cnf(i_0_1303,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_1304,plain,
c_HOL_Oord__class_Oless(v_sko__local__Xex__1(v_P),v_sko__CHAINED__1(v_P),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1119,i_0_1263,i_0_795,i_0_494,i_0_765,i_0_710,i_0_741]) ).
cnf(i_0_1305,plain,
( ~ hBOOL(hAPP(v_P,X1))
| c_HOL_Oord__class_Oless(X1,v_sko__CHAINED__1(v_P),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_741]) ).
cnf(i_0_1306,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X3)),
inference(scs_inference,[],[i_0_1119,i_0_1237,i_0_1263,i_0_795,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742]) ).
cnf(i_0_1307,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_742]) ).
cnf(i_0_1308,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,X8,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,X8),X8),
inference(scs_inference,[],[i_0_1119,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452]) ).
cnf(i_0_1309,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_1310,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X5)),
inference(scs_inference,[],[i_0_1119,i_0_1125,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686]) ).
cnf(i_0_1311,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_1312,plain,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,X4,X2,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1119,i_0_601,i_0_1125,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507]) ).
cnf(i_0_1313,plain,
( ~ 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(rename_variables,[],[i_0_507]) ).
cnf(i_0_1314,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3)),
inference(scs_inference,[],[i_0_1119,i_0_673,i_0_601,i_0_1125,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743]) ).
cnf(i_0_1315,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1316,plain,
~ c_fequal(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),v_P,tc_RealDef_Oreal),hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2),X3),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_673,i_0_601,i_0_1125,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746]) ).
cnf(i_0_1317,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_1318,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_673,i_0_601,i_0_1125,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556]) ).
cnf(i_0_1319,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1320,plain,
~ c_RealVector_Otopological__space(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_673,i_0_601,i_0_1125,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711]) ).
cnf(i_0_1321,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4)),
inference(rename_variables,[],[i_0_1125]) ).
cnf(i_0_1322,plain,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_1323,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X5))),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_673,i_0_601,i_0_1125,i_0_1145,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553]) ).
cnf(i_0_1324,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1325,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_553]) ).
cnf(i_0_1326,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X5),X1))),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_673,i_0_601,i_0_1125,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554]) ).
cnf(i_0_1327,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1328,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool))
| c_lessequals(X3,X4,tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_554]) ).
cnf(i_0_1329,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_673,i_0_601,i_0_1125,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555]) ).
cnf(i_0_1330,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1331,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_555]) ).
cnf(i_0_1332,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_673,i_0_601,i_0_1125,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712]) ).
cnf(i_0_1333,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3)),
inference(rename_variables,[],[i_0_1127]) ).
cnf(i_0_1334,plain,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_1335,plain,
c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1) = c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_673,i_0_601,i_0_1125,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829]) ).
cnf(i_0_1336,plain,
~ c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),tc_RealDef_Oreal)),X2,tc_fun(X3,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_673,i_0_601,i_0_815,i_0_1125,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_1259,i_0_795,i_0_1130,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668]) ).
cnf(i_0_1337,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_1338,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
| ~ c_lessequals(X1,X3,tc_fun(X5,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_668]) ).
cnf(i_0_1339,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_673,i_0_601,i_0_815,i_0_1125,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_1259,i_0_1337,i_0_795,i_0_1130,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662]) ).
cnf(i_0_1340,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_1341,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_662]) ).
cnf(i_0_1342,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_673,i_0_601,i_0_815,i_0_1125,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_1130,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663]) ).
cnf(i_0_1343,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_1344,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1345,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_815,i_0_1125,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_1130,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628]) ).
cnf(i_0_1346,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1185]) ).
cnf(i_0_1347,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1348,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_628]) ).
cnf(i_0_1349,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(X3,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_bool,X4),X4,X2)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2,X2),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_815,i_0_1125,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_1130,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511]) ).
cnf(i_0_1350,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_1351,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_bool,X3),X3,X1)),X4),X1),
inference(rename_variables,[],[i_0_1241]) ).
cnf(i_0_1352,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X1,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Fun_Oinj__on(X2,X1,X3,X3) ),
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_1353,plain,
c_lessequals(c_COMBB(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oimage(c_COMBI(X1),X3,X1,X1)),c_COMBI(X1),X1,tc_bool,X1),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_815,i_0_1125,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_1130,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461]) ).
cnf(i_0_1354,plain,
c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
inference(rename_variables,[],[i_0_655]) ).
cnf(i_0_1355,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1356,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_COMBB(X4,X1,X3,tc_bool,X2),X5,tc_fun(X2,tc_bool))
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_461]) ).
cnf(i_0_1357,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X1),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_815,i_0_1178,i_0_1125,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_1130,i_0_970,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505]) ).
cnf(i_0_1358,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_1359,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X2,X4),
inference(rename_variables,[],[i_0_1178]) ).
cnf(i_0_1360,plain,
( ~ 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(rename_variables,[],[i_0_505]) ).
cnf(i_0_1361,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5,X6,X7,X8,X9,X10),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_815,i_0_1178,i_0_1125,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441]) ).
cnf(i_0_1362,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1363,plain,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
inference(rename_variables,[],[i_0_441]) ).
cnf(i_0_1364,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X4)),X2,X5),
inference(scs_inference,[],[i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543]) ).
cnf(i_0_1365,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1366,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_1367,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1227,i_0_1181,i_0_1185,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579]) ).
cnf(i_0_1368,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4)),
inference(rename_variables,[],[i_0_1125]) ).
cnf(i_0_1369,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_1370,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| X2 = X1 ),
inference(rename_variables,[],[i_0_579]) ).
cnf(i_0_1371,plain,
~ c_lessequals(c_Set_Oimage(X1,v_P,tc_RealDef_Oreal,X2),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503]) ).
cnf(i_0_1372,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),X4)),
inference(rename_variables,[],[i_0_1119]) ).
cnf(i_0_1373,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1374,plain,
~ c_Lubs_OisLub(c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),X3,X4,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577]) ).
cnf(i_0_1375,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),X4)),
inference(rename_variables,[],[i_0_1119]) ).
cnf(i_0_1376,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_OisLub(X2,X4,X1,X3) ),
inference(rename_variables,[],[i_0_577]) ).
cnf(i_0_1377,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2)),X3),X1,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1013,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638]) ).
cnf(i_0_1378,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(rename_variables,[],[i_0_1013]) ).
cnf(i_0_1379,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1380,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2)),X3),X2,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1013,i_0_1378,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640]) ).
cnf(i_0_1381,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(rename_variables,[],[i_0_1013]) ).
cnf(i_0_1382,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_640]) ).
cnf(i_0_1383,plain,
~ class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1013,i_0_1378,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_821,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653]) ).
cnf(i_0_1384,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1385,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_653]) ).
cnf(i_0_1386,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1011,i_0_1013,i_0_1378,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676]) ).
cnf(i_0_1387,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1011]) ).
cnf(i_0_1388,plain,
( ~ 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(rename_variables,[],[i_0_676]) ).
cnf(i_0_1389,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678]) ).
cnf(i_0_1390,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1203]) ).
cnf(i_0_1391,plain,
( ~ 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(rename_variables,[],[i_0_678]) ).
cnf(i_0_1392,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728]) ).
cnf(i_0_1393,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_728]) ).
cnf(i_0_1394,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oimage(X3,c_Set_Oimage(X4,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X4,X5,tc_bool,X6),X6,X5),X5,X1)),X1),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526]) ).
cnf(i_0_1395,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1396,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1397,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3))),X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X6)),X7)),c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool))),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473]) ).
cnf(i_0_1398,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_724]) ).
cnf(i_0_1399,plain,
( ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X3,X1,X4)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X1),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_1400,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2)),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X5),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478]) ).
cnf(i_0_1401,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),X4)),
inference(rename_variables,[],[i_0_1119]) ).
cnf(i_0_1402,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_726]) ).
cnf(i_0_1403,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X1,X2,X3,X4),X1,X4))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_1404,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634]) ).
cnf(i_0_1405,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1009]) ).
cnf(i_0_1406,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1407,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636]) ).
cnf(i_0_1408,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1009]) ).
cnf(i_0_1409,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_636]) ).
cnf(i_0_1410,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2)),X3) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1241,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667]) ).
cnf(i_0_1411,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X3)),X4),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_940]) ).
cnf(i_0_1412,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_726]) ).
cnf(i_0_1413,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1414,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3))),c_Set_Oimage(X5,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X5,X6,tc_bool,X7),X7,X6)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X8)),X9)),X10),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480]) ).
cnf(i_0_1415,plain,
~ hBOOL(hAPP(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4)),
inference(rename_variables,[],[i_0_1125]) ).
cnf(i_0_1416,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X2,X1,X3,X4)))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_480]) ).
cnf(i_0_1417,plain,
~ c_lessequals(v_P,c_Set_Oimage(c_COMBI(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X1),tc_fun(tc_RealDef_Oreal,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596]) ).
cnf(i_0_1418,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),X4)),
inference(rename_variables,[],[i_0_1119]) ).
cnf(i_0_1419,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_596]) ).
cnf(i_0_1420,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672]) ).
cnf(i_0_1421,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1213]) ).
cnf(i_0_1422,plain,
( ~ 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_lessequals(X3,X1,X2) ),
inference(rename_variables,[],[i_0_672]) ).
cnf(i_0_1423,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oimage(X3,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X3,X1,tc_bool,X4),X4,X1)),X1),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708]) ).
cnf(i_0_1424,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1425,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_708]) ).
cnf(i_0_1426,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),X6,X7,X8,X9,X10,X11),
inference(scs_inference,[],[i_0_550,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_722,i_0_490,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885]) ).
cnf(i_0_1427,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1428,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4) != hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X5),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_722,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906]) ).
cnf(i_0_1429,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)) = c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_722,i_0_1427,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830]) ).
cnf(i_0_1430,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1431,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))),c_Set_Oimage(c_COMBI(X5),tc_RealDef_Oreal,X5,X5)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_722,i_0_1427,i_0_1430,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869]) ).
cnf(i_0_1432,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1433,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X4),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Set_Oimage(c_COMBI(X5),tc_RealDef_Oreal,X5,X5)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_674,i_0_722,i_0_1427,i_0_1430,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870]) ).
cnf(i_0_1434,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_674]) ).
cnf(i_0_1435,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(c_COMBI(X5),tc_RealDef_Oreal,X5,X5)),c_Set_Oimage(c_COMBI(X5),tc_RealDef_Oreal,X5,X5))),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_673,i_0_674,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871]) ).
cnf(i_0_1436,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1437,plain,
~ c_Lubs_Osetle(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),v_P),v_P),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876]) ).
cnf(i_0_1438,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1439,plain,
~ c_Lubs_Osetle(v_P,X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878]) ).
cnf(i_0_1440,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1441,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908]) ).
cnf(i_0_1442,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1185]) ).
cnf(i_0_1443,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909]) ).
cnf(i_0_1444,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1445,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910]) ).
cnf(i_0_1446,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1447,plain,
~ c_Lubs_OisLub(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918]) ).
cnf(i_0_1448,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_1449,plain,
~ c_Lubs_OisLub(c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)),X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))))),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921]) ).
cnf(i_0_1450,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1451,plain,
~ c_Lubs_OisLub(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919]) ).
cnf(i_0_1452,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1453,plain,
~ c_Lubs_Osetle(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_490,i_0_1384,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877]) ).
cnf(i_0_1454,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1455,plain,
~ c_fequal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X3,X3),X4),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_490,i_0_1384,i_0_1039,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900]) ).
cnf(i_0_1456,plain,
~ c_fequal(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X2),X3),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1457,plain,
~ c_fequal(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X2),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901]) ).
cnf(i_0_1458,plain,
~ c_fequal(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X2),X3),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1459,plain,
~ c_Lubs_OisLub(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920]) ).
cnf(i_0_1460,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1461,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873]) ).
cnf(i_0_1462,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1463,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal)),X2),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669]) ).
cnf(i_0_1464,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1009]) ).
cnf(i_0_1465,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_669]) ).
cnf(i_0_1466,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X2),X3)),X2,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670]) ).
cnf(i_0_1467,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
inference(rename_variables,[],[i_0_1015]) ).
cnf(i_0_1468,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_670]) ).
cnf(i_0_1469,plain,
c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695]) ).
cnf(i_0_1470,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X2),X1),tc_bool),
inference(rename_variables,[],[i_0_1200]) ).
cnf(i_0_1471,plain,
c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool),tc_bool),
inference(rename_variables,[],[i_0_1017]) ).
cnf(i_0_1472,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_695]) ).
cnf(i_0_1473,plain,
c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1,c_Set_Oimage(c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,tc_bool,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,tc_bool),tc_bool,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,tc_bool,X6),X7)),X1),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467]) ).
cnf(i_0_1474,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1475,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,X3,tc_bool,X4,X5),X4,X6,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X6),X6),
inference(rename_variables,[],[i_0_1130]) ).
cnf(i_0_1476,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X4,X2,X3,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_467]) ).
cnf(i_0_1477,plain,
~ c_Lubs_OisLub(X1,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X3,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1474,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558]) ).
cnf(i_0_1478,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1479,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| c_lessequals(X1,X4,X3)
| ~ c_Lubs_OisLub(X5,X2,X4,X3) ),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1480,plain,
c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,X3,tc_bool,X4,X5),X4,tc_bool,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,tc_bool),tc_bool),hAPP(c_COMBB(X1,c_COMBB(X2,X3,tc_bool,X4,X5),X4,tc_bool,X5),X6),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598]) ).
cnf(i_0_1481,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1482,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,X3,tc_bool,X4,X5),X4,X6,X5),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X6),X6),
inference(rename_variables,[],[i_0_1130]) ).
cnf(i_0_1483,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X3),X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_1484,plain,
~ c_Lubs_Osetle(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625]) ).
cnf(i_0_1485,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1486,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetle(X2,X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_1487,plain,
~ c_Finite__Set_Ofinite(v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468]) ).
cnf(i_0_1488,plain,
hBOOL(c_in(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),v_P,tc_RealDef_Oreal)),
inference(rename_variables,[],[i_0_976]) ).
cnf(i_0_1489,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_468]) ).
cnf(i_0_1490,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623]) ).
cnf(i_0_1491,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_1492,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetge(X4,X2,X3)
| c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_623]) ).
cnf(i_0_1493,plain,
~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),v_P),v_P),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865]) ).
cnf(i_0_1494,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1495,plain,
~ c_Finite__Set_Ofinite(v_P,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866]) ).
cnf(i_0_1496,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1497,plain,
( class_Lattices_Obounded__lattice(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_809,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866,i_0_896]) ).
cnf(i_0_1498,plain,
( class_Orderings_Obot(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_1130,i_0_1475,i_0_808,i_0_809,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866,i_0_896,i_0_903]) ).
cnf(i_0_1499,plain,
( class_Finite__Set_Ofinite_Ofinite(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_807,i_0_1130,i_0_1475,i_0_808,i_0_809,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866,i_0_896,i_0_903,i_0_905]) ).
cnf(i_0_1500,plain,
( class_OrderedGroup_Ogroup__add(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_807,i_0_1130,i_0_1475,i_0_808,i_0_809,i_0_825,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866,i_0_896,i_0_903,i_0_905,i_0_907]) ).
cnf(i_0_1501,plain,
( class_Lattices_Olower__semilattice(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_807,i_0_1130,i_0_1475,i_0_808,i_0_809,i_0_825,i_0_970,i_0_655,i_0_820,i_0_804,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866,i_0_896,i_0_903,i_0_905,i_0_907,i_0_915]) ).
cnf(i_0_1502,plain,
( class_Lattices_Oupper__semilattice(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1369,i_0_1244,i_0_1119,i_0_1297,i_0_1372,i_0_1375,i_0_1401,i_0_1227,i_0_1181,i_0_1185,i_0_1346,i_0_1442,i_0_932,i_0_978,i_0_982,i_0_976,i_0_1488,i_0_1062,i_0_673,i_0_674,i_0_1434,i_0_722,i_0_1427,i_0_1430,i_0_1432,i_0_1436,i_0_1438,i_0_1440,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1454,i_0_1460,i_0_1462,i_0_1494,i_0_490,i_0_1384,i_0_1474,i_0_1478,i_0_1481,i_0_1039,i_0_1456,i_0_601,i_0_1330,i_0_1347,i_0_1355,i_0_1365,i_0_1395,i_0_726,i_0_1402,i_0_1028,i_0_815,i_0_1178,i_0_1359,i_0_1125,i_0_1321,i_0_1368,i_0_1241,i_0_1154,i_0_1127,i_0_1269,i_0_940,i_0_1145,i_0_1324,i_0_1237,i_0_1151,i_0_1263,i_0_1247,i_0_1249,i_0_1267,i_0_1009,i_0_1405,i_0_1408,i_0_1011,i_0_1013,i_0_1378,i_0_1381,i_0_1015,i_0_1200,i_0_1203,i_0_1259,i_0_1337,i_0_1340,i_0_1343,i_0_1213,i_0_795,i_0_1017,i_0_1072,i_0_679,i_0_724,i_0_805,i_0_812,i_0_807,i_0_1130,i_0_1475,i_0_808,i_0_809,i_0_825,i_0_970,i_0_655,i_0_820,i_0_804,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_741,i_0_742,i_0_452,i_0_686,i_0_507,i_0_743,i_0_746,i_0_556,i_0_711,i_0_553,i_0_554,i_0_555,i_0_712,i_0_829,i_0_668,i_0_662,i_0_663,i_0_628,i_0_511,i_0_461,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_653,i_0_676,i_0_678,i_0_728,i_0_526,i_0_473,i_0_478,i_0_634,i_0_636,i_0_667,i_0_480,i_0_596,i_0_672,i_0_708,i_0_885,i_0_906,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_908,i_0_909,i_0_910,i_0_918,i_0_921,i_0_919,i_0_877,i_0_900,i_0_901,i_0_920,i_0_873,i_0_669,i_0_670,i_0_695,i_0_467,i_0_558,i_0_598,i_0_625,i_0_468,i_0_623,i_0_865,i_0_866,i_0_896,i_0_903,i_0_905,i_0_907,i_0_915,i_0_916]) ).
cnf(i_0_1503,plain,
class_Lattices_Obounded__lattice(tc_bool),
inference(equality_inference,[],[1497]) ).
cnf(i_0_1504,plain,
class_Orderings_Obot(tc_bool),
inference(equality_inference,[],[1498]) ).
cnf(i_0_1505,plain,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
inference(equality_inference,[],[1499]) ).
cnf(i_0_1506,plain,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(equality_inference,[],[1500]) ).
cnf(i_0_1507,plain,
class_Lattices_Olower__semilattice(tc_bool),
inference(equality_inference,[],[1501]) ).
cnf(i_0_1508,plain,
class_Lattices_Oupper__semilattice(tc_bool),
inference(equality_inference,[],[1502]) ).
cnf(i_0_1509,plain,
~ hBOOL(c_in(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_bool,X4),X4)),
inference(scs_inference,[],[i_0_1310,i_0_494]) ).
cnf(i_0_1510,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X5)),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1511,plain,
( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
| ~ hBOOL(c_in(X2,X3,X4)) ),
inference(rename_variables,[],[i_0_494]) ).
cnf(i_0_1512,plain,
~ class_Orderings_Otop(tc_fun(X1,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1310,i_0_1336,i_0_494,i_0_765]) ).
cnf(i_0_1513,plain,
~ c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),tc_RealDef_Oreal)),X2,tc_fun(X3,tc_RealDef_Oreal)),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1514,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(rename_variables,[],[i_0_765]) ).
cnf(i_0_1515,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3)),
inference(scs_inference,[],[i_0_1310,i_0_1336,i_0_724,i_0_494,i_0_765,i_0_710]) ).
cnf(i_0_1516,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_1517,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,X9,X7),X9,X10,X7),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)),X7,X10),X10),
inference(scs_inference,[],[i_0_1310,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452]) ).
cnf(i_0_1518,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_1519,plain,
~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X4)),
inference(scs_inference,[],[i_0_1310,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686]) ).
cnf(i_0_1520,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_1521,plain,
c_lessequals(c_Set_Oimage(X1,c_Set_Oimage(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X5),X3,X6),X6,X7),c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X6,tc_bool)),c_Set_Oimage(X2,X4,X3,X6)),c_Set_Oimage(X2,X5,X3,X6)),X6,X7),tc_fun(X7,tc_bool)),
inference(scs_inference,[],[i_0_1310,i_0_459,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507]) ).
cnf(i_0_1522,plain,
( ~ 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(rename_variables,[],[i_0_507]) ).
cnf(i_0_1523,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1310,i_0_459,i_0_600,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556]) ).
cnf(i_0_1524,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1525,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1526,plain,
~ c_fequal(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X5),X6),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_459,i_0_600,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746]) ).
cnf(i_0_1527,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_1528,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_723,i_0_459,i_0_600,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743]) ).
cnf(i_0_1529,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1530,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1531,plain,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),c_Set_Oimage(X1,X3,X2,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_723,i_0_459,i_0_600,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555]) ).
cnf(i_0_1532,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_555]) ).
cnf(i_0_1533,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X3),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_723,i_0_459,i_0_600,i_0_1306,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711]) ).
cnf(i_0_1534,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X3)),
inference(rename_variables,[],[i_0_1306]) ).
cnf(i_0_1535,plain,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_1536,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_723,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712]) ).
cnf(i_0_1537,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X3)),
inference(rename_variables,[],[i_0_1314]) ).
cnf(i_0_1538,plain,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_1539,plain,
c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2) = c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_723,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1336,i_0_724,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829]) ).
cnf(i_0_1540,plain,
tc_bool != tc_fun(X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_723,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1336,i_0_1383,i_0_724,i_0_823,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917]) ).
cnf(i_0_1541,plain,
~ c_lessequals(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),hAPP(X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))),tc_RealDef_Oreal)),X3,tc_fun(X4,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1336,i_0_1383,i_0_1342,i_0_724,i_0_823,i_0_1308,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668]) ).
cnf(i_0_1542,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1342]) ).
cnf(i_0_1543,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
| ~ c_lessequals(X1,X3,tc_fun(X5,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_668]) ).
cnf(i_0_1544,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal)),X3),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1336,i_0_1383,i_0_1342,i_0_1463,i_0_724,i_0_823,i_0_1308,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662]) ).
cnf(i_0_1545,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal)),X2),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1463]) ).
cnf(i_0_1546,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_662]) ).
cnf(i_0_1547,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal)),X3),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1336,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_724,i_0_823,i_0_1308,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663]) ).
cnf(i_0_1548,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal)),X2),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1463]) ).
cnf(i_0_1549,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1550,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),tc_bool,tc_bool),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1306,i_0_1314,i_0_1318,i_0_1336,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511]) ).
cnf(i_0_1551,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1318]) ).
cnf(i_0_1552,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_1553,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X1,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Fun_Oinj__on(X2,X1,X3,X3) ),
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_1554,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X3),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_1185,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1306,i_0_1314,i_0_1318,i_0_1336,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628]) ).
cnf(i_0_1555,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1185]) ).
cnf(i_0_1556,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1557,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_628]) ).
cnf(i_0_1558,plain,
~ c_Fun_Oinj__on(X1,v_P,tc_RealDef_Oreal,tc_bool),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_1185,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1306,i_0_1314,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505]) ).
cnf(i_0_1559,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_1560,plain,
( ~ 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(rename_variables,[],[i_0_505]) ).
cnf(i_0_1561,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))),X5,X6,X7,X8,X9,X10),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_1185,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1306,i_0_1314,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441]) ).
cnf(i_0_1562,plain,
hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
inference(rename_variables,[],[i_0_679]) ).
cnf(i_0_1563,plain,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ hBOOL(c_in(X2,X4,X5))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
inference(rename_variables,[],[i_0_441]) ).
cnf(i_0_1564,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5),X2,X6),
inference(scs_inference,[],[i_0_1428,i_0_1310,i_0_1367,i_0_1185,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543]) ).
cnf(i_0_1565,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2)),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X5),tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1566,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X4)),X2,X5),
inference(rename_variables,[],[i_0_1364]) ).
cnf(i_0_1567,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_1568,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1367,i_0_1185,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579]) ).
cnf(i_0_1569,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X3)),
inference(rename_variables,[],[i_0_1306]) ).
cnf(i_0_1570,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_1571,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| X2 = X1 ),
inference(rename_variables,[],[i_0_579]) ).
cnf(i_0_1572,plain,
~ c_lessequals(c_Set_Oimage(X1,v_P,tc_RealDef_Oreal,X2),c_Set_Oimage(X3,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X4,tc_bool,X5),X5,X4),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503]) ).
cnf(i_0_1573,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X5)),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1574,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1575,plain,
~ c_Lubs_OisLub(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4,X5,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577]) ).
cnf(i_0_1576,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X5)),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1577,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_OisLub(X2,X4,X1,X3) ),
inference(rename_variables,[],[i_0_577]) ).
cnf(i_0_1578,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X2),X3)),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1206,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638]) ).
cnf(i_0_1579,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1580,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1581,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X2),X3)),X3,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1206,i_0_1579,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_821,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640]) ).
cnf(i_0_1582,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1583,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_640]) ).
cnf(i_0_1584,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X2),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1206,i_0_1579,i_0_1582,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678]) ).
cnf(i_0_1585,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1586,plain,
( ~ 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(rename_variables,[],[i_0_678]) ).
cnf(i_0_1587,plain,
~ c_Finite__Set_Ofinite(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1336,i_0_1487,i_0_1383,i_0_1206,i_0_1579,i_0_1582,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866]) ).
cnf(i_0_1588,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1589,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X1),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1336,i_0_1487,i_0_1383,i_0_1206,i_0_1579,i_0_1582,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526]) ).
cnf(i_0_1590,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1318]) ).
cnf(i_0_1591,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1592,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3)),X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X6),c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3))),X7),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1336,i_0_1487,i_0_1383,i_0_1206,i_0_1579,i_0_1582,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478]) ).
cnf(i_0_1593,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X5)),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1594,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_603]) ).
cnf(i_0_1595,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X1,X2,X3,X4),X1,X4))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_1596,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X2)),X3),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1336,i_0_1487,i_0_1383,i_0_1197,i_0_1206,i_0_1579,i_0_1582,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634]) ).
cnf(i_0_1597,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X2),tc_bool),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_1598,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1599,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X2),X1)),X3),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1336,i_0_1487,i_0_1383,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636]) ).
cnf(i_0_1600,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X2),tc_bool),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_1601,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_636]) ).
cnf(i_0_1602,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),X2)),X3),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1336,i_0_1487,i_0_1383,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676]) ).
cnf(i_0_1603,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2)),X3),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1404]) ).
cnf(i_0_1604,plain,
( ~ 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(rename_variables,[],[i_0_676]) ).
cnf(i_0_1605,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1336,i_0_1487,i_0_1383,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728]) ).
cnf(i_0_1606,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_728]) ).
cnf(i_0_1607,plain,
tc_bool != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904]) ).
cnf(i_0_1608,plain,
~ c_lessequals(v_P,c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),tc_fun(tc_RealDef_Oreal,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596]) ).
cnf(i_0_1609,plain,
~ hBOOL(c_in(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X5)),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1610,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_596]) ).
cnf(i_0_1611,plain,
c_lessequals(v_sko__local__Xassms__1__1(v_P),c_Complete__Lattice_OSup__class_OSup(v_P,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653]) ).
cnf(i_0_1612,plain,
hBOOL(c_in(v_sko__local__Xassms__1__1(v_P),v_P,X1)),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1613,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_653]) ).
cnf(i_0_1614,plain,
~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),v_P),v_P),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865]) ).
cnf(i_0_1615,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1616,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),X2),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672]) ).
cnf(i_0_1617,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1389]) ).
cnf(i_0_1618,plain,
( ~ 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_lessequals(X3,X1,X2) ),
inference(rename_variables,[],[i_0_672]) ).
cnf(i_0_1619,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667]) ).
cnf(i_0_1620,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_726]) ).
cnf(i_0_1621,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),X1),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_603]) ).
cnf(i_0_1622,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1623,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,tc_bool,X2)),X2,X4),X4),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708]) ).
cnf(i_0_1624,plain,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
inference(rename_variables,[],[i_0_459]) ).
cnf(i_0_1625,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oimage(X3,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X3,X1,tc_bool,X4),X4,X1)),X1),
inference(rename_variables,[],[i_0_1423]) ).
cnf(i_0_1626,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_708]) ).
cnf(i_0_1627,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5)),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5)),X6,X7,X8,X9,X10,X11),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885]) ).
cnf(i_0_1628,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1629,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)) = c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830]) ).
cnf(i_0_1630,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1631,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Set_Oimage(c_COMBI(X5),tc_RealDef_Oreal,X5,X5)),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869]) ).
cnf(i_0_1632,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1633,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X5),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X5),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)))),c_Set_Oimage(c_COMBI(X6),tc_RealDef_Oreal,X6,X6)),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1433,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870]) ).
cnf(i_0_1634,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1635,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X5,tc_bool)),c_Set_Oimage(c_COMBI(X6),tc_RealDef_Oreal,X6,X6)),c_Set_Oimage(c_COMBI(X6),tc_RealDef_Oreal,X6,X6))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871]) ).
cnf(i_0_1636,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1637,plain,
~ c_Lubs_Osetle(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),v_P),v_P),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876]) ).
cnf(i_0_1638,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1639,plain,
~ c_Lubs_Osetle(v_P,X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878]) ).
cnf(i_0_1640,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1641,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910]) ).
cnf(i_0_1642,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1643,plain,
~ c_Lubs_OisLub(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918]) ).
cnf(i_0_1644,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_1645,plain,
~ c_Lubs_OisLub(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1,X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))))),
inference(scs_inference,[],[i_0_550,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921]) ).
cnf(i_0_1646,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1647,plain,
hAPP(v_P,v_sko__local__Xassms__1__1(v_P)) != hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906]) ).
cnf(i_0_1648,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908]) ).
cnf(i_0_1649,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1650,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909]) ).
cnf(i_0_1651,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1652,plain,
~ c_Lubs_OisLub(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919]) ).
cnf(i_0_1653,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1654,plain,
~ c_fequal(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_963,i_0_815,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900]) ).
cnf(i_0_1655,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1656,plain,
~ c_fequal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X2,X2)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X4),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901]) ).
cnf(i_0_1657,plain,
~ c_fequal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X2,X2)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),
inference(rename_variables,[],[i_0_1271]) ).
cnf(i_0_1658,plain,
~ c_Lubs_OisLub(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6)),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920]) ).
cnf(i_0_1659,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1660,plain,
~ c_Lubs_Osetle(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,tc_RealDef_Oreal),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877]) ).
cnf(i_0_1661,plain,
~ c_Lubs_Osetle(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1484]) ).
cnf(i_0_1662,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))),X4),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_679,i_0_724,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873]) ).
cnf(i_0_1663,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1664,plain,
c_lessequals(v_x____,c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1,v_P,tc_bool,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669]) ).
cnf(i_0_1665,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X1),X2),tc_bool),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_1666,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_669]) ).
cnf(i_0_1667,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X2),X1),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670]) ).
cnf(i_0_1668,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),X2),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1669,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_670]) ).
cnf(i_0_1670,plain,
c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1,c_Set_Oimage(c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,tc_RealDef_Oreal,X7),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)),X7,tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),hAPP(c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,tc_RealDef_Oreal,X7),X9)),X1),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467]) ).
cnf(i_0_1671,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1672,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,X8,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,X8),X8),
inference(rename_variables,[],[i_0_1308]) ).
cnf(i_0_1673,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X4,X2,X3,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_467]) ).
cnf(i_0_1674,plain,
c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,tc_RealDef_Oreal,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,tc_RealDef_Oreal),tc_RealDef_Oreal),hAPP(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,tc_RealDef_Oreal,X6),X8),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_1671,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598]) ).
cnf(i_0_1675,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1676,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,X8,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,X8),X8),
inference(rename_variables,[],[i_0_1308]) ).
cnf(i_0_1677,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X3),X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_1678,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_1671,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695]) ).
cnf(i_0_1679,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1216]) ).
cnf(i_0_1680,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_695]) ).
cnf(i_0_1681,plain,
~ c_Lubs_OisLub(X1,c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X3),X4),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_1671,i_0_1675,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558]) ).
cnf(i_0_1682,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1683,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| c_lessequals(X1,X4,X3)
| ~ c_Lubs_OisLub(X5,X2,X4,X3) ),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1684,plain,
~ c_Lubs_Osetle(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625]) ).
cnf(i_0_1685,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1686,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetle(X2,X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_1687,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,tc_bool,X6),X8)),X9),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),X9,c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,tc_bool,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,tc_bool),tc_bool,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468]) ).
cnf(i_0_1688,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1689,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,X4,tc_bool,X5,X6),X5,X7,X6),X7,X8,X6),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X6,X8),X8),
inference(rename_variables,[],[i_0_1308]) ).
cnf(i_0_1690,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_468]) ).
cnf(i_0_1691,plain,
~ c_Lubs_Osetge(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(X1,X2),tc_RealDef_Oreal),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623]) ).
cnf(i_0_1692,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1693,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1694,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetge(X4,X2,X3)
| c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_623]) ).
cnf(i_0_1695,plain,
~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),v_P),v_P),tc_RealDef_Oreal,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912]) ).
cnf(i_0_1696,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1697,plain,
~ c_Fun_Oinj__on(X1,v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913]) ).
cnf(i_0_1698,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1699,plain,
~ c_Fun_Oinj__on(X1,v_P,tc_RealDef_Oreal,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),tc_bool),tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914]) ).
cnf(i_0_1700,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X2) = X2,
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1701,plain,
( ~ c_Lubs_OisLub(X1,X2,X3,tc_bool)
| c_Lubs_Osetle(X2,X3,tc_bool) ),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_816,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914,i_0_584]) ).
cnf(i_0_1702,plain,
( ~ class_HOL_Oord(X1)
| c_Lubs_Osetle(X2,X3,X1)
| ~ c_Lubs_OisLub(X4,X2,X3,X1) ),
inference(rename_variables,[],[i_0_584]) ).
cnf(i_0_1703,plain,
( class_Lattices_Olattice(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_816,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_814,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914,i_0_584,i_0_867]) ).
cnf(i_0_1704,plain,
( class_HOL_Oord(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_816,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_814,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914,i_0_584,i_0_867,i_0_868]) ).
cnf(i_0_1705,plain,
( class_Lattices_Odistrib__lattice(X1)
| tc_bool != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_816,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_814,i_0_818,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914,i_0_584,i_0_867,i_0_868,i_0_875]) ).
cnf(i_0_1706,plain,
( class_Orderings_Oorder(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_816,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_814,i_0_818,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914,i_0_584,i_0_867,i_0_868,i_0_875,i_0_893]) ).
cnf(i_0_1707,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| tc_RealDef_Oreal != X1 ),
inference(scs_inference,[],[i_0_550,i_0_1570,i_0_1428,i_0_1310,i_0_1510,i_0_1573,i_0_1576,i_0_1593,i_0_1332,i_0_1367,i_0_1185,i_0_1555,i_0_978,i_0_982,i_0_1644,i_0_1062,i_0_976,i_0_723,i_0_1529,i_0_1588,i_0_1615,i_0_1628,i_0_1630,i_0_1632,i_0_1634,i_0_1636,i_0_1638,i_0_1640,i_0_1642,i_0_1646,i_0_1649,i_0_1651,i_0_1653,i_0_1655,i_0_1659,i_0_1663,i_0_1696,i_0_1698,i_0_490,i_0_1671,i_0_1675,i_0_1682,i_0_1685,i_0_1688,i_0_963,i_0_815,i_0_1271,i_0_459,i_0_600,i_0_1524,i_0_603,i_0_1594,i_0_726,i_0_794,i_0_1028,i_0_1364,i_0_1306,i_0_1534,i_0_1361,i_0_1423,i_0_1314,i_0_1449,i_0_1400,i_0_1318,i_0_1551,i_0_1431,i_0_1433,i_0_1299,i_0_1447,i_0_1336,i_0_1251,i_0_1487,i_0_1383,i_0_1121,i_0_1459,i_0_1451,i_0_1197,i_0_1597,i_0_1600,i_0_1206,i_0_1579,i_0_1582,i_0_1585,i_0_1404,i_0_1339,i_0_1342,i_0_1463,i_0_1545,i_0_1484,i_0_1389,i_0_1216,i_0_1219,i_0_1282,i_0_816,i_0_679,i_0_724,i_0_806,i_0_811,i_0_823,i_0_803,i_0_1308,i_0_1672,i_0_1676,i_0_814,i_0_818,i_0_970,i_0_1552,i_0_804,i_0_819,i_0_822,i_0_821,i_0_824,i_0_494,i_0_765,i_0_710,i_0_452,i_0_686,i_0_507,i_0_556,i_0_746,i_0_743,i_0_555,i_0_711,i_0_712,i_0_829,i_0_917,i_0_668,i_0_662,i_0_663,i_0_511,i_0_628,i_0_505,i_0_441,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_866,i_0_526,i_0_478,i_0_634,i_0_636,i_0_676,i_0_728,i_0_904,i_0_596,i_0_653,i_0_865,i_0_672,i_0_667,i_0_708,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_906,i_0_908,i_0_909,i_0_919,i_0_900,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_695,i_0_558,i_0_625,i_0_468,i_0_623,i_0_912,i_0_913,i_0_914,i_0_584,i_0_867,i_0_868,i_0_875,i_0_893,i_0_894]) ).
cnf(i_0_1708,plain,
class_Lattices_Olattice(tc_bool),
inference(equality_inference,[],[1703]) ).
cnf(i_0_1709,plain,
class_HOL_Oord(tc_bool),
inference(equality_inference,[],[1704]) ).
cnf(i_0_1710,plain,
class_Lattices_Odistrib__lattice(tc_bool),
inference(equality_inference,[],[1705]) ).
cnf(i_0_1711,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(equality_inference,[],[1706]) ).
cnf(i_0_1712,plain,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
inference(equality_inference,[],[1707]) ).
cnf(i_0_1713,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,c_COMBB(X5,X6,tc_bool,X7,X8),X7,X9,X8),X9,X10,X8),X10,X11,X8),X11,X12,X8),c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)),X8,X12),X12),
inference(scs_inference,[],[i_0_1517,i_0_452]) ).
cnf(i_0_1714,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5) ),
inference(rename_variables,[],[i_0_452]) ).
cnf(i_0_1715,plain,
c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X5),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X6),X2)),X3,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1145,i_0_1517,i_0_452,i_0_507]) ).
cnf(i_0_1716,plain,
( ~ 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(rename_variables,[],[i_0_507]) ).
cnf(i_0_1717,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),X4,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1145,i_0_601,i_0_1517,i_0_452,i_0_507,i_0_556]) ).
cnf(i_0_1718,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1719,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_556]) ).
cnf(i_0_1720,plain,
~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),X4)),
inference(scs_inference,[],[i_0_1145,i_0_1127,i_0_601,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686]) ).
cnf(i_0_1721,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_1722,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3)),X5),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X6),c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1145,i_0_1127,i_0_601,i_0_1592,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555]) ).
cnf(i_0_1723,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_555]) ).
cnf(i_0_1724,plain,
~ c_fequal(hAPP(v_P,v_sko__local__Xassms__1__1(v_P)),hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),X2),
inference(scs_inference,[],[i_0_1647,i_0_1145,i_0_1127,i_0_601,i_0_1592,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746]) ).
cnf(i_0_1725,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_1726,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)),
inference(scs_inference,[],[i_0_1647,i_0_664,i_0_1145,i_0_1127,i_0_601,i_0_1592,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743]) ).
cnf(i_0_1727,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1728,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1729,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),
inference(scs_inference,[],[i_0_1647,i_0_664,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711]) ).
cnf(i_0_1730,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)),
inference(rename_variables,[],[i_0_1528]) ).
cnf(i_0_1731,plain,
( hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_1732,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),
inference(scs_inference,[],[i_0_1647,i_0_664,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712]) ).
cnf(i_0_1733,plain,
( hBOOL(hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ c_RealVector_Otopological__space(X1,X2) ),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_1734,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829]) ).
cnf(i_0_1735,plain,
~ c_lessequals(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(X1,X2)),X3),tc_RealDef_Oreal)),X1,tc_fun(X4,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1517,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668]) ).
cnf(i_0_1736,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal)),X3),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_1737,plain,
( c_lessequals(hAPP(X1,X2),hAPP(X3,X2),X4)
| ~ c_lessequals(X1,X3,tc_fun(X5,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_668]) ).
cnf(i_0_1738,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X4,X4)),X2,X2),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1318,i_0_1517,i_0_1589,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511]) ).
cnf(i_0_1739,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal))),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1318]) ).
cnf(i_0_1740,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X1,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Fun_Oinj__on(X2,X1,X3,X3) ),
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_1741,plain,
~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),v_P),v_P)),tc_RealDef_Oreal,tc_bool),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912]) ).
cnf(i_0_1742,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1743,plain,
~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),v_P),v_P),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),tc_RealDef_Oreal),tc_bool),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913]) ).
cnf(i_0_1744,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1745,plain,
~ c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),v_P),v_P),tc_RealDef_Oreal,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),tc_bool)),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914]) ).
cnf(i_0_1746,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1747,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2)),X3),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662]) ).
cnf(i_0_1748,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1161]) ).
cnf(i_0_1749,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_662]) ).
cnf(i_0_1750,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2)),X3),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663]) ).
cnf(i_0_1751,plain,
~ c_lessequals(c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1161]) ).
cnf(i_0_1752,plain,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2),X3),X4),X2)
| ~ class_Lattices_Oupper__semilattice(X2)
| ~ c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_663]) ).
cnf(i_0_1753,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(c_COMBI(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X2)),c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X4,tc_bool,X1)),X1),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_1564,i_0_1623,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505]) ).
cnf(i_0_1754,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,tc_bool,X2)),X2,X4),X4),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1755,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5),X2,X6),
inference(rename_variables,[],[i_0_1564]) ).
cnf(i_0_1756,plain,
( ~ 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(rename_variables,[],[i_0_505]) ).
cnf(i_0_1757,plain,
c_Fun_Oinj__on(X1,c_Set_Oimage(c_COMBI(X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4),X2,X2),X2,X5),
inference(scs_inference,[],[i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543]) ).
cnf(i_0_1758,plain,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
inference(rename_variables,[],[i_0_459]) ).
cnf(i_0_1759,plain,
c_Fun_Oinj__on(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBI(X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3,X3)),X5),X2,X6),
inference(rename_variables,[],[i_0_1564]) ).
cnf(i_0_1760,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_543]) ).
cnf(i_0_1761,plain,
c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1568,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579]) ).
cnf(i_0_1762,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X3)),
inference(rename_variables,[],[i_0_1127]) ).
cnf(i_0_1763,plain,
~ hBOOL(hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1)),
inference(rename_variables,[],[i_0_550]) ).
cnf(i_0_1764,plain,
( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| hBOOL(hAPP(X2,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(X2,X1,X3)))
| X2 = X1 ),
inference(rename_variables,[],[i_0_579]) ).
cnf(i_0_1765,plain,
~ c_lessequals(c_Set_Oimage(X1,v_P,tc_RealDef_Oreal,X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),X4),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503]) ).
cnf(i_0_1766,plain,
~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X4)),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_1767,plain,
( hBOOL(c_in(hAPP(X1,X2),X3,X4))
| ~ hBOOL(c_in(X2,X5,X6))
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_503]) ).
cnf(i_0_1768,plain,
~ c_Lubs_OisLub(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),X3,X4,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577]) ).
cnf(i_0_1769,plain,
~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X4)),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_1770,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_OisLub(X2,X4,X1,X3) ),
inference(rename_variables,[],[i_0_577]) ).
cnf(i_0_1771,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X2),X3))),X4),X2,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638]) ).
cnf(i_0_1772,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2)),X3),X2,tc_bool),
inference(rename_variables,[],[i_0_1380]) ).
cnf(i_0_1773,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1774,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X2),X3))),X4),X3,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640]) ).
cnf(i_0_1775,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2)),X3),X2,tc_bool),
inference(rename_variables,[],[i_0_1380]) ).
cnf(i_0_1776,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_640]) ).
cnf(i_0_1777,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),X3)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1578,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678]) ).
cnf(i_0_1778,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),X2),X3)),X2,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1578]) ).
cnf(i_0_1779,plain,
( ~ 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(rename_variables,[],[i_0_678]) ).
cnf(i_0_1780,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X5),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X6),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3)))),X7),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1578,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478]) ).
cnf(i_0_1781,plain,
~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X4)),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_1782,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1783,plain,
( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1(X1,X2,X3,X4),X1,X4))
| c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5),X3),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_478]) ).
cnf(i_0_1784,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X3))),X4),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1407,i_0_1578,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634]) ).
cnf(i_0_1785,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1)),X3),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1786,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X2,X4,X1) ),
inference(rename_variables,[],[i_0_634]) ).
cnf(i_0_1787,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X3),X1))),X4),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1578,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636]) ).
cnf(i_0_1788,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1)),X3),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1789,plain,
( ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X3),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_636]) ).
cnf(i_0_1790,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal))),X3),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676]) ).
cnf(i_0_1791,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1)),X3),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1792,plain,
( ~ 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(rename_variables,[],[i_0_676]) ).
cnf(i_0_1793,plain,
~ c_lessequals(v_P,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),tc_fun(tc_RealDef_Oreal,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596]) ).
cnf(i_0_1794,plain,
~ hBOOL(c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),X4)),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_1795,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X4,X3))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_596]) ).
cnf(i_0_1796,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1127,i_0_601,i_0_459,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728]) ).
cnf(i_0_1797,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_728]) ).
cnf(i_0_1798,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),X3,X5),X5),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_750,i_0_1127,i_0_601,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1161,i_0_1748,i_0_1318,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526]) ).
cnf(i_0_1799,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_1800,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1801,plain,
c_lessequals(v_sko__local__Xex__1(v_P),c_Complete__Lattice_OSup__class_OSup(v_P,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_750,i_0_1127,i_0_601,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653]) ).
cnf(i_0_1802,plain,
hBOOL(c_in(v_sko__local__Xex__1(v_P),v_P,X1)),
inference(rename_variables,[],[i_0_1302]) ).
cnf(i_0_1803,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
inference(rename_variables,[],[i_0_653]) ).
cnf(i_0_1804,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),X2)),X3),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_750,i_0_1127,i_0_601,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672]) ).
cnf(i_0_1805,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),X2)),X3),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1602]) ).
cnf(i_0_1806,plain,
( ~ 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_lessequals(X3,X1,X2) ),
inference(rename_variables,[],[i_0_672]) ).
cnf(i_0_1807,plain,
hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1145,i_0_1782,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667]) ).
cnf(i_0_1808,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1809,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_726]) ).
cnf(i_0_1810,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_667]) ).
cnf(i_0_1811,plain,
~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),v_P),v_P))),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708]) ).
cnf(i_0_1812,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1813,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_708]) ).
cnf(i_0_1814,plain,
~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),v_P),v_P),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866]) ).
cnf(i_0_1815,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1816,plain,
~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),v_P),v_P)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865]) ).
cnf(i_0_1817,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1818,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X5)),X6,X7,X8,X9,X10,X11),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885]) ).
cnf(i_0_1819,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1820,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X3),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830]) ).
cnf(i_0_1821,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1822,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Set_Oimage(c_COMBI(X4),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),X4,X4),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869]) ).
cnf(i_0_1823,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1824,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X6,tc_bool)),c_Set_Oimage(c_COMBI(X7),tc_RealDef_Oreal,X7,X7)),c_Set_Oimage(c_COMBI(X7),tc_RealDef_Oreal,X7,X7))),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870]) ).
cnf(i_0_1825,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1826,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X5),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),X5),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X6,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool))),c_Set_Oimage(c_COMBI(X7),tc_RealDef_Oreal,X7,X7))),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871]) ).
cnf(i_0_1827,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1828,plain,
~ c_Lubs_Osetle(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),v_P),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876]) ).
cnf(i_0_1829,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1830,plain,
~ c_Lubs_Osetle(v_P,X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878]) ).
cnf(i_0_1831,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1832,plain,
~ c_lessequals(v_P,c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910]) ).
cnf(i_0_1833,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1834,plain,
~ c_Lubs_OisLub(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2,X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool))))),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918]) ).
cnf(i_0_1835,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1836,plain,
~ c_Lubs_OisLub(c_Set_Oimage(X1,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,tc_bool,X3),X3,X2),X4,X5,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X6,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool))),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921]) ).
cnf(i_0_1837,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1838,plain,
~ c_lessequals(v_P,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909]) ).
cnf(i_0_1839,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1840,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),v_P),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_550,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1361,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908]) ).
cnf(i_0_1841,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1842,plain,
hAPP(v_P,v_sko__local__Xex__1(v_P)) != hAPP(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),X1),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1361,i_0_795,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906]) ).
cnf(i_0_1843,plain,
~ c_fequal(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900]) ).
cnf(i_0_1844,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1845,plain,
~ c_Lubs_OisLub(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))),c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X4,tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,tc_RealDef_Oreal)),X4,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919]) ).
cnf(i_0_1846,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1847,plain,
~ c_fequal(c_Set_Oimage(c_COMBI(X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X4),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901]) ).
cnf(i_0_1848,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1849,plain,
~ c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),c_Set_Oimage(c_COMBI(X4),tc_RealDef_Oreal,X4,X4)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920]) ).
cnf(i_0_1850,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1851,plain,
~ c_Lubs_Osetle(c_Set_Oimage(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,c_Set_Oimage(X2,c_COMBB(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,tc_bool,X4),X4,X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X6,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877]) ).
cnf(i_0_1852,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1853,plain,
~ c_RealVector_Otopological__space(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),c_Lubs_OisUb(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),v_P,tc_RealDef_Oreal)),X2),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873]) ).
cnf(i_0_1854,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
inference(rename_variables,[],[i_0_664]) ).
cnf(i_0_1855,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X2,tc_RealDef_Oreal))),X3),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1380,i_0_1772,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_805,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669]) ).
cnf(i_0_1856,plain,
c_lessequals(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X1)),X3),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1857,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_669]) ).
cnf(i_0_1858,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X2),X3)),X4))),X5),X2,tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_805,i_0_812,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670]) ).
cnf(i_0_1859,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2)),X3),X2,tc_bool),
inference(rename_variables,[],[i_0_1380]) ).
cnf(i_0_1860,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_670]) ).
cnf(i_0_1861,plain,
c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1,c_Set_Oimage(c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,c_COMBB(X5,X6,tc_bool,X7,X8),X7,X9,X8),X9,X10,X8),X10,tc_bool,X8),c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)),X8,tc_bool),tc_bool,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,c_COMBB(X5,X6,tc_bool,X7,X8),X7,X9,X8),X9,X10,X8),X10,tc_bool,X8),X11)),X1),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_805,i_0_812,i_0_823,i_0_1517,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467]) ).
cnf(i_0_1862,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1863,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,X9,X7),X9,X10,X7),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)),X7,X10),X10),
inference(rename_variables,[],[i_0_1517]) ).
cnf(i_0_1864,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(X3),X4,X2,X3,X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3),X1),X4),X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_467]) ).
cnf(i_0_1865,plain,
c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,X9,X7),X9,tc_bool,X7),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)),X7,tc_bool),tc_bool),hAPP(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,X9,X7),X9,tc_bool,X7),X10),tc_bool),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_805,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598]) ).
cnf(i_0_1866,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1867,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X1,c_COMBB(X2,c_COMBB(X3,c_COMBB(X4,X5,tc_bool,X6,X7),X6,X8,X7),X8,X9,X7),X9,X10,X7),c_Orderings_Otop__class_Otop(tc_fun(X7,tc_bool)),X7,X10),X10),
inference(rename_variables,[],[i_0_1517]) ).
cnf(i_0_1868,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X3),X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_598]) ).
cnf(i_0_1869,plain,
~ c_Lubs_OisLub(X1,c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X2),X3),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_805,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558]) ).
cnf(i_0_1870,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1871,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| c_lessequals(X1,X4,X3)
| ~ c_Lubs_OisLub(X5,X2,X4,X3) ),
inference(rename_variables,[],[i_0_558]) ).
cnf(i_0_1872,plain,
~ c_Lubs_Osetle(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal)),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_805,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625]) ).
cnf(i_0_1873,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1874,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetle(X2,X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_625]) ).
cnf(i_0_1875,plain,
X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695]) ).
cnf(i_0_1876,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1219]) ).
cnf(i_0_1877,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_695]) ).
cnf(i_0_1878,plain,
~ c_Finite__Set_Ofinite(c_Set_Oimage(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468]) ).
cnf(i_0_1879,plain,
hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
inference(rename_variables,[],[i_0_490]) ).
cnf(i_0_1880,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3),X1),X4),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(X3),X4,X2,X3,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
inference(rename_variables,[],[i_0_468]) ).
cnf(i_0_1881,plain,
~ c_Lubs_Osetge(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,X1,tc_RealDef_Oreal)),X2),tc_RealDef_Oreal)),X3),v_P,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623]) ).
cnf(i_0_1882,plain,
~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1(v_P,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),X1),X2),tc_RealDef_Oreal)),X3),X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_1883,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| ~ class_HOL_Oord(X3)
| ~ c_Lubs_Osetge(X4,X2,X3)
| c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_623]) ).
cnf(i_0_1884,plain,
class_Lattices_Olattice(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081]) ).
cnf(i_0_1885,plain,
class_HOL_Oord(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103]) ).
cnf(i_0_1886,plain,
class_RealVector_Otopological__space(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103,i_0_1104]) ).
cnf(i_0_1887,plain,
class_Lattices_Odistrib__lattice(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103,i_0_1104,i_0_1105]) ).
cnf(i_0_1888,plain,
class_OrderedGroup_Olordered__ab__group__add(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103,i_0_1104,i_0_1105,i_0_1106]) ).
cnf(i_0_1889,plain,
class_Orderings_Oorder(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103,i_0_1104,i_0_1105,i_0_1106,i_0_1706]) ).
cnf(i_0_1890,plain,
class_OrderedGroup_Opordered__ab__group__add(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103,i_0_1104,i_0_1105,i_0_1106,i_0_1706,i_0_1707]) ).
cnf(i_0_1891,plain,
$false,
inference(scs_inference,[],[i_0_550,i_0_1763,i_0_1647,i_0_1519,i_0_1766,i_0_1769,i_0_1781,i_0_1568,i_0_986,i_0_932,i_0_978,i_0_1062,i_0_976,i_0_664,i_0_1727,i_0_1742,i_0_1744,i_0_1746,i_0_1815,i_0_1817,i_0_1819,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1833,i_0_1835,i_0_1837,i_0_1839,i_0_1841,i_0_1844,i_0_1846,i_0_1848,i_0_1850,i_0_1852,i_0_1361,i_0_795,i_0_963,i_0_490,i_0_1862,i_0_1866,i_0_1870,i_0_1873,i_0_815,i_0_1273,i_0_1493,i_0_1145,i_0_1782,i_0_1808,i_0_750,i_0_1127,i_0_601,i_0_726,i_0_459,i_0_1028,i_0_1564,i_0_1755,i_0_1623,i_0_1528,i_0_1592,i_0_1635,i_0_1633,i_0_1643,i_0_1302,i_0_1575,i_0_1477,i_0_1377,i_0_1380,i_0_1772,i_0_1775,i_0_1407,i_0_1785,i_0_1788,i_0_1791,i_0_1578,i_0_1544,i_0_1736,i_0_1053,i_0_1602,i_0_1161,i_0_1748,i_0_1084,i_0_1660,i_0_1318,i_0_1216,i_0_1219,i_0_805,i_0_811,i_0_812,i_0_823,i_0_1517,i_0_1863,i_0_1589,i_0_1695,i_0_970,i_0_804,i_0_820,i_0_821,i_0_824,i_0_452,i_0_507,i_0_556,i_0_686,i_0_555,i_0_746,i_0_743,i_0_711,i_0_712,i_0_829,i_0_668,i_0_511,i_0_912,i_0_913,i_0_914,i_0_662,i_0_663,i_0_505,i_0_543,i_0_579,i_0_503,i_0_577,i_0_638,i_0_640,i_0_678,i_0_478,i_0_634,i_0_636,i_0_676,i_0_596,i_0_728,i_0_526,i_0_653,i_0_672,i_0_667,i_0_708,i_0_866,i_0_865,i_0_885,i_0_830,i_0_869,i_0_870,i_0_871,i_0_876,i_0_878,i_0_910,i_0_918,i_0_921,i_0_909,i_0_908,i_0_906,i_0_900,i_0_919,i_0_901,i_0_920,i_0_877,i_0_873,i_0_669,i_0_670,i_0_467,i_0_598,i_0_558,i_0_625,i_0_695,i_0_468,i_0_623,i_0_1081,i_0_1103,i_0_1104,i_0_1105,i_0_1106,i_0_1706,i_0_1707,i_0_571]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG349-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 10:32:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.96/5.68 % Version : CSE_E---1.7
% 0.96/5.68 % Problem : theBenchmark.p
% 0.96/5.68 % SZS status Unsatisfiable for theBenchmark.p
% 0.96/5.68 % SZS output start CNFRefutation
% See solution above
% 17.63/12.83 % Total time : 5.337s
%------------------------------------------------------------------------------