%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV903-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 05:27:42 PM UTC 2026
% Result : Unsatisfiable 1.92s 2.66s
% Output : CNFRefutation 8.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_726)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Finite__Set_Ofold1(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool)),X1) = hAPP(hAPP(X4,c_Finite__Set_Ofold1(X4,X2,X1)),c_Finite__Set_Ofold1(X4,X3,X1))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold1__Un_0) ).
cnf(cls_fold1__def_0,axiom,
c_Finite__Set_Ofold1(X1,X2,X3) = c_The(c_Finite__Set_Ofold1Set(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__def_0) ).
cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom,
( c_Finite__Set_Ofold1(X1,c_Set_Oinsert(X2,X3,X4),X4) = hAPP(hAPP(X1,X2),c_Finite__Set_Ofold1(X1,X3,X4))
| c_in(X2,X3,X4)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ofold1__insert_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)
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_below__fold1__iff_0) ).
cnf(cls_Int__Collect_0,axiom,
( c_in(X1,X2,X3)
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_0) ).
cnf(cls_Collect__def_0,axiom,
c_Collect(X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
cnf(cls_Int__Collect_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_1) ).
cnf(cls_fold1__singleton_0,axiom,
c_Finite__Set_Ofold1(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__singleton_0) ).
cnf(cls_Int__Collect_2,axiom,
( 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))
| ~ c_in(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Collect_2) ).
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)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1__belowI_0) ).
cnf(cls_singleton__conv2_0,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
cnf(cls_CollectD_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Collect(X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectD_0) ).
cnf(cls_CollectI_0,axiom,
( c_in(X1,c_Collect(X2,X3),X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectI_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).
cnf(cls_complete__lattice_OInf__binary_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__binary_0) ).
cnf(cls_complete__lattice_OSup__binary_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__binary_0) ).
cnf(cls_complete__lattice_OInf__lower_0,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ c_in(X4,X3,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__lower_0) ).
cnf(cls_complete__lattice_OInf__singleton_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__singleton_0) ).
cnf(cls_complete__lattice_OSup__singleton_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__singleton_0) ).
cnf(cls_complete__lattice_OSup__upper_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ c_in(X2,X4,X5)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__upper_0) ).
cnf(cls_complete__lattice_OInf__insert_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OInf__insert_0) ).
cnf(cls_complete__lattice_OSup__insert_0,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__insert_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_complete__lattice_OSup__UNIV_0) ).
cnf(cls_MGT__Body_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGT__Body_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(v_Fa,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_7,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_image__subset__iff_2,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_2) ).
cnf(cls_image__subsetI_1,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subsetI_1) ).
cnf(cls_fun__upd__twist_0,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__twist_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/sandbox/benchmark/theBenchmark.p',cls_finite__range__imageI_0) ).
cnf(cls_BodyN_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Com_Ocom_OBODY,X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Com_Ocom_OBODY,X3),X4,X5),X1,tc_Hoare__Mirabelle_Otriple(X5)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_BodyN_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_inj__on__Un_3,axiom,
( c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X5,tc_bool)),X5,X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,X4,X5,X1)
| ~ c_Fun_Oinj__on(X2,X3,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).
cnf(cls_fun__upd__upd_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).
cnf(cls_fun__upd__image_0,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_in(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_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/sandbox/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
cnf(cls_Un__Int__crazy_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2),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)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
cnf(cls_MGF__complete_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF__complete_0) ).
cnf(cls_weak__Body_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Com_Ocom_OBODY,X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weak__Body_0) ).
cnf(cls_inj__on__fun__updI_0,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__fun__updI_0) ).
cnf(cls_finite__subset__image_2,axiom,
( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
| ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_2) ).
cnf(cls_subset__image__iff_1,axiom,
( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X4,X5)
| ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_range__composition_0) ).
cnf(cls_finite__subset__image_0,axiom,
( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_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/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_subset__image__iff_0,axiom,
( c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_0) ).
cnf(cls_finite__subset__image_1,axiom,
( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__image_1) ).
cnf(cls_inj__on__insert_1,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).
cnf(cls_inj__on__Un_2,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X5,tc_bool)),X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_2) ).
cnf(cls_image__subset__iff_1,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_1) ).
cnf(cls_image__subsetI_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subsetI_0) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
cnf(cls_fun__upd__image_1,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| c_in(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).
cnf(cls_weak__coinduct__image_0,axiom,
( c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4)),tc_fun(X4,tc_bool))
| ~ c_in(X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weak__coinduct__image_0) ).
cnf(cls_map__add__le__mapI_0,axiom,
( c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
| ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| ~ c_Map_Omap__le(X2,X5,X3,X4)
| ~ c_Map_Omap__le(X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__le__mapI_0) ).
cnf(cls_card__bij__eq_0,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X5,X3,X4,X2)
| ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__bij__eq_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/sandbox/benchmark/theBenchmark.p',cls_image__Int_0) ).
cnf(cls_inj__on__insert_2,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).
cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_fun__upd__other_0,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).
cnf(cls_fun__upd__apply_1,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
cnf(cls_inj__image__Compl__subset_0,axiom,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),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/sandbox/benchmark/theBenchmark.p',cls_inj__image__Compl__subset_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/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_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/sandbox/benchmark/theBenchmark.p',cls_vimage__Int_0) ).
cnf(cls_finite__subset__induct_4,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_4) ).
cnf(cls_inj__on__image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_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/sandbox/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).
cnf(cls_image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__set__diff_0) ).
cnf(cls_fun__upd__idem__iff_0,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).
cnf(cls_MGT__BodyN_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGT__BodyN_0) ).
cnf(cls_vimage__insert_0,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__insert_0) ).
cnf(cls_fold1Set__sing_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1Set__sing_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/sandbox/benchmark/theBenchmark.p',cls_vimage__code_0) ).
cnf(cls_map__le__iff__map__add__commute_0,axiom,
( c_Map_Omap__add(X1,X2,X3,X4) = c_Map_Omap__add(X2,X1,X3,X4)
| ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__iff__map__add__commute_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/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_UN__Un_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X4,X3,tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__Un_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/sandbox/benchmark/theBenchmark.p',cls_endo__inj__surj_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/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
cnf(cls_vimage__singleton__eq_0,axiom,
( hAPP(X1,X2) = X3
| ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_0) ).
cnf(cls_map__le__iff__map__add__commute_1,axiom,
( c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__iff__map__add__commute_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_image__vimage__eq_0) ).
cnf(cls_map__add__assoc_0,axiom,
c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5) = c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__assoc_0) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_0) ).
cnf(cls_vimage__Un_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Un_0) ).
cnf(cls_vimage__Diff_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).
cnf(cls_psubset__insert__iff_9,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_9) ).
cnf(cls_evalc_OBody_0,axiom,
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OBody_0) ).
cnf(cls_inj__image__mem__iff_0,axiom,
( c_in(X1,X2,X3)
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_psubset__insert__iff_8,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_8) ).
cnf(cls_map__add__le__mapE_0,axiom,
( c_Map_Omap__le(X1,X2,X3,X4)
| ~ c_Map_Omap__le(c_Map_Omap__add(X5,X1,X3,X4),X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__le__mapE_0) ).
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,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
cnf(cls_psubset__insert__iff_5,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_5) ).
cnf(cls_psubset__insert__iff_4,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_4) ).
cnf(cls_Nitpick_OEx1__def_2,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_OEx1__def_2) ).
cnf(cls_subset__insert__iff_4,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
cnf(cls_SUP1__I_0,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ c_in(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP1__I_0) ).
cnf(cls_SUP1__iff_2,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ c_in(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP1__iff_2) ).
cnf(cls_diff__single__insert_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).
cnf(cls_subset__insert__iff_3,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).
cnf(cls_map__add__comm_0,axiom,
( c_Map_Omap__add(X2,X4,X1,X3) = c_Map_Omap__add(X4,X2,X1,X3)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Map_Odom(X2,X1,X3)),c_Map_Odom(X4,X1,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__comm_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/sandbox/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_fun__upd__idem__iff_1,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
cnf(cls_fun__upd__triv_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).
cnf(cls_fun__upd__idem_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_vimage__mono_0) ).
cnf(cls_evalc__elim__cases_I6_J_0,axiom,
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I6_J_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_finite__surj__inj_0) ).
cnf(cls_UN__subset__iff_0,axiom,
( c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))
| ~ c_in(X2,X5,X6)
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__subset__iff_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/sandbox/benchmark/theBenchmark.p',cls_vimage__code_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
cnf(cls_inj__image__mem__iff_1,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).
cnf(cls_distrib__sup__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__sup__le_0) ).
cnf(cls_Un__Int__assoc__eq_0,axiom,
( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
cnf(cls_MGF__lemma1_1,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF__lemma1_1) ).
cnf(cls_Int__Un__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),X4) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(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),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_eq__card__imp__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__card__imp__inj__on_0) ).
cnf(cls_fold1Set__sing_1,axiom,
hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fold1Set__sing_1) ).
cnf(cls_psubset__insert__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_1) ).
cnf(cls_vimage__singleton__eq_1,axiom,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).
cnf(cls_image__subset__iff_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,X5,X6)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_subset__insert__iff_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).
cnf(cls_map__le__trans_0,axiom,
( c_Map_Omap__le(X1,X2,X3,X4)
| ~ c_Map_Omap__le(X5,X2,X3,X4)
| ~ c_Map_Omap__le(X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__trans_0) ).
cnf(cls_UN__insert_0,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__insert_0) ).
cnf(cls_finite__UN_0,axiom,
( c_Finite__Set_Ofinite(hAPP(X1,X2),X3)
| ~ c_in(X2,X4,X5)
| ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UN_0) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(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),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int2_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/sandbox/benchmark/theBenchmark.p',cls_finite__vimageI_0) ).
cnf(cls_UN__absorb_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__absorb_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf1E_1) ).
cnf(cls_Un__Int__distrib2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
cnf(cls_Int__Un__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
cnf(cls_Diff__Int__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(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),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_vimageD_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageD_0) ).
cnf(cls_vimageE_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageE_0) ).
cnf(cls_Nitpick_OEx1__def_3,axiom,
( X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_OEx1__def_3) ).
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/sandbox/benchmark/theBenchmark.p',cls_finite__surj_0) ).
cnf(cls_inj__on__iff__eq__card_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff__eq__card_0) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_card__image_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__image_0) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_distrib__inf__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__inf__le_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/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).
cnf(cls_inj__on__Un_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/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,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
cnf(cls_map__add__SomeD_1,axiom,
( hAPP(X1,X5) = c_Option_Ooption_OSome(X6,X4)
| hAPP(X2,X5) = c_Option_Ooption_OSome(X6,X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_OSome(X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__SomeD_1) ).
cnf(cls_map__add__SomeD_0,axiom,
( hAPP(X2,X5) = c_Option_Ooption_ONone(X4)
| hAPP(X2,X5) = c_Option_Ooption_OSome(X6,X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_OSome(X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__SomeD_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/sandbox/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_vimage__Compl_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Compl_0) ).
cnf(cls_dom__map__add_0,axiom,
c_Map_Odom(c_Map_Omap__add(X1,X2,X3,X4),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,X3,X4),c_Map_Odom(X1,X3,X4),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dom__map__add_0) ).
cnf(cls_doubleton__eq__iff_0,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
cnf(cls_doubleton__eq__iff_1,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
cnf(cls_doubleton__eq__iff_2,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
cnf(cls_doubleton__eq__iff_3,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).
cnf(cls_Diff__Un_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
cnf(cls_map__add__None_1,axiom,
( hAPP(X1,X5) = c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_ONone(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__None_1) ).
cnf(cls_map__add__None_0,axiom,
( hAPP(X2,X5) = c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_ONone(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__None_0) ).
cnf(cls_finite__subset__induct_2,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_2) ).
cnf(cls_UN__I_0,axiom,
( c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5)
| ~ c_in(X1,hAPP(X3,X6),X5)
| ~ c_in(X6,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__I_0) ).
cnf(cls_UN__iff_2,axiom,
( c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5)
| ~ c_in(X1,hAPP(X3,X6),X5)
| ~ c_in(X6,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__iff_2) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_insert__inter__insert_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
cnf(cls_UN__extend__simps_I1_J_0,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I1_J_0) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).
cnf(cls_Int__insert__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
| ~ c_in(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
cnf(cls_map__le__antisym_0,axiom,
( X1 = X2
| ~ c_Map_Omap__le(X2,X1,X3,X4)
| ~ c_Map_Omap__le(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
cnf(cls_triple_Oinject_0,axiom,
( X1 = X5
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Oinject_0) ).
cnf(cls_triple_Oinject_1,axiom,
( X2 = X6
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Oinject_1) ).
cnf(cls_triple_Oinject_2,axiom,
( X3 = X7
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple_Oinject_2) ).
cnf(cls_map__add__dom__app__simps_I1_J_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
| ~ c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__dom__app__simps_I1_J_0) ).
cnf(cls_domD_0,axiom,
( hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4)
| ~ c_in(X2,c_Map_Odom(X1,X3,X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domD_0) ).
cnf(cls_hoare__derivs_Oinsert_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_Oinsert_0) ).
cnf(cls_finite__Diff__insert_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff__insert_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/sandbox/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_Diff__Int_0,axiom,
c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
cnf(cls_map__le__map__add_0,axiom,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__map__add_0) ).
cnf(cls_UN__upper_0,axiom,
( c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__upper_0) ).
cnf(cls_UN__extend__simps_I2_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I2_J_0) ).
cnf(cls_UN__extend__simps_I3_J_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UN__extend__simps_I3_J_0) ).
cnf(cls_INT__extend__simps_I4_J_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_INT__extend__simps_I4_J_0) ).
cnf(cls_insert__Diff_0,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
cnf(cls_empty__fold1SetE_0,axiom,
~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__fold1SetE_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_inf1I_0) ).
cnf(cls_map__add__dom__app__simps_I3_J_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X1,X5)
| c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__dom__app__simps_I3_J_0) ).
cnf(cls_map__add__dom__app__simps_I2_J_0,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
| c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__dom__app__simps_I2_J_0) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).
cnf(cls_map__le__implies__dom__le_0,axiom,
( c_lessequals(c_Map_Odom(X1,X2,X3),c_Map_Odom(X4,X2,X3),tc_fun(X2,tc_bool))
| ~ c_Map_Omap__le(X1,X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__implies__dom__le_0) ).
cnf(cls_card__Diff__singleton__if_1,axiom,
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
| c_in(X2,X1,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__Diff__singleton__if_1) ).
cnf(cls_rangeI_0,axiom,
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/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_Int__insert__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
| ~ c_in(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
cnf(cls_vimageI_0,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI_0) ).
cnf(cls_vimageI2_0,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI2_0) ).
cnf(cls_vimage__eq_1,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__eq_1) ).
cnf(cls_map__le__def_0,axiom,
( hAPP(X1,X2) = hAPP(X3,X2)
| ~ c_in(X2,c_Map_Odom(X1,X4,X5),X4)
| ~ c_Map_Omap__le(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__def_0) ).
cnf(cls_le__SUPI_0,axiom,
( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_in(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__SUPI_0) ).
cnf(cls_atLeastatMost__psubset__iff_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X5,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_2) ).
cnf(cls_imageI_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
cnf(cls_image__eqI_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
cnf(cls_rev__image__eqI_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
cnf(cls_atLeastatMost__psubset__iff_6,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_6) ).
cnf(cls_atLeastatMost__psubset__iff_5,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_5) ).
cnf(cls_finite__Diff__insert_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff__insert_1) ).
cnf(cls_finite__subset__induct_3,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_3) ).
cnf(cls_Un__mono_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_Diff__mono_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_0) ).
cnf(cls_Un__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_0) ).
cnf(cls_inj__onD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__onD_0) ).
cnf(cls_inj__on__def_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__def_0) ).
cnf(cls_inj__on__iff_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).
cnf(cls_inj__on__contraD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
cnf(cls_atLeastatMost__psubset__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_0) ).
cnf(cls_atLeastatMost__subset__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_0) ).
cnf(cls_atLeastatMost__psubset__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_1) ).
cnf(cls_atLeastatMost__subset__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_1) ).
cnf(cls_Sup__binary_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__binary_0) ).
cnf(cls_Inf__binary_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__binary_0) ).
cnf(cls_derivs__insertD_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_derivs__insertD_0) ).
cnf(cls_UNION__empty__conv_I2_J_0,axiom,
( hAPP(X2,X5) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X5,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNION__empty__conv_I2_J_0) ).
cnf(cls_UNION__empty__conv_I1_J_0,axiom,
( hAPP(X3,X5) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
| ~ c_in(X5,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNION__empty__conv_I1_J_0) ).
cnf(cls_map__add__Some__iff_3,axiom,
( hAPP(c_Map_Omap__add(X1,X5,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
| hAPP(X5,X2) != c_Option_Ooption_ONone(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__Some__iff_3) ).
cnf(cls_Diff__subset__conv_1,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).
cnf(cls_Diff__subset__conv_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).
cnf(cls_IntE_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_0) ).
cnf(cls_IntE_1,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_1) ).
cnf(cls_subset__singletonD_0,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
cnf(cls_sup1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_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/sandbox/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_map__add__None_2,axiom,
( hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2) = c_Option_Ooption_ONone(X3)
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
| hAPP(X4,X2) != c_Option_Ooption_ONone(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__None_2) ).
cnf(cls_map__add__Some__iff_2,axiom,
( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__Some__iff_2) ).
cnf(cls_map__add__find__right_0,axiom,
( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__add__find__right_0) ).
cnf(cls_Int__insert__left_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
| c_in(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
cnf(cls_Compl__Un_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Un_0) ).
cnf(cls_finite__subset__induct_1,axiom,
( hBOOL(hAPP(X1,X2))
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_1) ).
cnf(cls_image__constant_0,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ c_in(X5,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).
cnf(cls_Compl__Int_0,axiom,
c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Int_0) ).
cnf(cls_sup__inf__distrib2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
cnf(cls_sup__inf__distrib1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
cnf(cls_inf__sup__distrib2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),X4) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
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/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_atLeastatMost__psubset__iff_3,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_3) ).
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/sandbox/benchmark/theBenchmark.p',cls_injD_0) ).
cnf(cls_Un__Diff__Int_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).
cnf(cls_IntI_0,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntI_0) ).
cnf(cls_Int__iff_2,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__iff_2) ).
cnf(cls_finite__subset__induct_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__subset__induct_0) ).
cnf(cls_MGF__lemma1_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X1),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)
| ~ c_Com_OWT(X2)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF__lemma1_0) ).
cnf(cls_dom__minus_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Map_Odom(X1,X4,X3),c_Set_Oinsert(X2,X5,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Map_Odom(X1,X4,X3),X5,tc_fun(X4,tc_bool))
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dom__minus_0) ).
cnf(cls_image__constant__conv_1,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
cnf(cls_psubset__insert__iff_7,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).
cnf(cls_psubset__insert__iff_2,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).
cnf(cls_double__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).
cnf(cls_Un__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
cnf(cls_Un__subset__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_atLeastatMost__subset__iff_3,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_3) ).
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))
| ~ c_in(X1,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_0) ).
cnf(cls_Un__assoc_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_Un__left__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
cnf(cls_psubset__insert__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_0) ).
cnf(cls_Diff__insert__absorb_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
cnf(cls_Int__insert__right_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
| c_in(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
cnf(cls_insert__Diff__if_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ 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/sandbox/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_atLeastatMost__psubset__iff_4,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__psubset__iff_4) ).
cnf(cls_Un__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/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(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
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))
| c_in(X1,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).
cnf(cls_UnE_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_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/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).
cnf(cls_Compl__subset__Compl__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
cnf(cls_inf__sup__distrib1_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
cnf(cls_subset__insert_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
cnf(cls_subset__insert__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_singletonE_0,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_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/sandbox/benchmark/theBenchmark.p',cls_inf__assoc_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_disjoint__eq__subset__Compl_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__eq__subset__Compl_0) ).
cnf(cls_psubset__insert__iff_3,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_MGF_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGF_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_DiffE_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
cnf(cls_disjoint__eq__subset__Compl_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__eq__subset__Compl_1) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_psubset__insert__iff_6,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).
cnf(cls_Un__insert__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_Un__insert__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
cnf(cls_SUP__const_0,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1) = X3
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SUP__const_0) ).
cnf(cls_sup1CI_1,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_DiffE_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_0) ).
cnf(cls_weak__coinduct_0,axiom,
( c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X4,hAPP(X2,X4),tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weak__coinduct_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_subset__insert_1,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
cnf(cls_subset__insert__iff_2,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_atLeastatMost__subset__iff_2,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__subset__iff_2) ).
cnf(cls_Diff__partition_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_0) ).
cnf(cls_DiffI_0,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffI_0) ).
cnf(cls_Diff__iff_2,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__iff_2) ).
cnf(cls_insert__Diff1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).
cnf(cls_Diff__triv_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__triv_0) ).
cnf(cls_insert__subset_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_Compl__anti__mono_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__anti__mono_0) ).
cnf(cls_Compl__subset__Compl__iff_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
cnf(cls_le__sup__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_sup__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__supI_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
cnf(cls_Compl__Diff__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__Diff__eq_0) ).
cnf(cls_com__det_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__infI_0) ).
cnf(cls_singleton__inject_0,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom,
( hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4) = hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__ac_I1_J_0) ).
cnf(cls_finite__dom__map__of_0,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Map_Omap__of(X1,X2,X3),X2,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__map__of_0) ).
cnf(cls_sup__eq__neg__inf_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = 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/sandbox/benchmark/theBenchmark.p',cls_sup__eq__neg__inf_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_sup__assoc_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_sup__left__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
cnf(cls_derivs__insertD_1,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_derivs__insertD_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_vimage__UNIV_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/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_Diff__disjoint_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_finite__Int_1) ).
cnf(cls_psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__trans_0) ).
cnf(cls_subset__psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__psubset__trans_0) ).
cnf(cls_psubset__subset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_less__eqI_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_1) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_le__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/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(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/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(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/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(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_inf__left__commute_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_Compl__disjoint2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint2_0) ).
cnf(cls_insertE_0,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__infE_1) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_Un__left__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
cnf(cls_Un__Diff__cancel_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).
cnf(cls_subset__insertI2_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_subset__Compl__self__eq_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_1) ).
cnf(cls_finite__Diff2_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff2_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
cnf(cls_less__fun__def_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_2) ).
cnf(cls_UnCI_1,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_0) ).
cnf(cls_Diff__Compl_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Compl_0) ).
cnf(cls_Diff__eq_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__eq_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_Max__mono_0,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__mono_0) ).
cnf(cls_Min__antimono_0,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),c_Finite__Set_Olinorder__class_OMin(X3,X1),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__antimono_0) ).
cnf(cls_ComplD_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_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(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__neg__sup_0) ).
cnf(cls_insert__ident_0,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__ident_0) ).
cnf(cls_domIff_0,axiom,
( hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
| ~ c_in(X2,c_Map_Odom(X1,X4,X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_0) ).
cnf(cls_weaken_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_weaken_0) ).
cnf(cls_thin_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_thin_0) ).
cnf(cls_finite__Un_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_0) ).
cnf(cls_finite__Un_1,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_MGT__def_0,axiom,
hAPP(c_Hoare__Mirabelle_OMGT,X1) = c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate),X1,c_Natural_Oevalc(X1),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MGT__def_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
cnf(cls_singleton__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
cnf(cls_psubsetD_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubsetD_0) ).
cnf(cls_set__mp_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
cnf(cls_subsetD_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__rev__mp_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subset__iff_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_subset__Compl__self__eq_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).
cnf(cls_less__fun__def_1,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_1) ).
cnf(cls_insert__dom_0,axiom,
( c_Set_Oinsert(X2,c_Map_Odom(X1,X5,X4),X5) = c_Map_Odom(X1,X5,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__dom_0) ).
cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom,
( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__left__commute_0) ).
cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__eq__UNIV__imp__eq__UNIV_0) ).
cnf(cls_neg__sup__eq__inf_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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/sandbox/benchmark/theBenchmark.p',cls_neg__sup__eq__inf_0) ).
cnf(cls_compl__sup_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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/sandbox/benchmark/theBenchmark.p',cls_compl__sup_0) ).
cnf(cls_less__supI1_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI1_0) ).
cnf(cls_less__supI2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__supI2_0) ).
cnf(cls_le__supI1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supI2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_less__infI1_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI1_0) ).
cnf(cls_less__infI2_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__infI2_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__infI2_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/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
cnf(cls_insertCI_0,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_0) ).
cnf(cls_insert__iff_2,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_map__le__refl_0,axiom,
c_Map_Omap__le(X1,X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_equalityI_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/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_card__insert__if_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_in(X1,X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__insert__if_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_Compl__disjoint_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint_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/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_order__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_order__less__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
cnf(cls_xt1_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(cls_xt1_I7_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_xt1_I8_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I8_J_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_Min__singleton_0,axiom,
( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__singleton_0) ).
cnf(cls_Max__singleton_0,axiom,
( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__singleton_0) ).
cnf(cls_Inf__singleton_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__singleton_0) ).
cnf(cls_Sup__singleton_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__singleton_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/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_neg__less__iff__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__iff__less_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/sandbox/benchmark/theBenchmark.p',cls_neg__le__iff__le_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) = c_Lattices_Oupper__semilattice__class_Osup(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/sandbox/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) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__inf_0) ).
cnf(cls_cut_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
cnf(cls_contents__eq_0,axiom,
c_Set_Ocontents(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_contents__eq_0) ).
cnf(cls_Nitpick_OThe__psimp_0,axiom,
c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_OThe__psimp_0) ).
cnf(cls_finite__compl_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__compl_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_sup__left__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_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/sandbox/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).
cnf(cls_atLeastatMost__empty__iff2_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff2_0) ).
cnf(cls_atLeastatMost__empty__iff_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff_0) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
cnf(cls_minus__less__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__less__iff_1) ).
cnf(cls_minus__less__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__less__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/sandbox/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).
cnf(cls_less__minus__iff_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__minus__iff_1) ).
cnf(cls_less__minus__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__minus__iff_0) ).
cnf(cls_gfp__upperbound_0,axiom,
( c_lessequals(X2,c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_lessequals(X2,hAPP(X3,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gfp__upperbound_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/sandbox/benchmark/theBenchmark.p',cls_le__minus__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/sandbox/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).
cnf(cls_less__fun__def_0,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__fun__def_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/sandbox/benchmark/theBenchmark.p',cls_inf__left__idem_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_finite__compl_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__compl_1) ).
cnf(cls_finite__Un_2,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_2) ).
cnf(cls_finite__UnI_0,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UnI_0) ).
cnf(cls_finite__Diff2_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff2_1) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_Sup__insert_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__insert_0) ).
cnf(cls_Un__empty_2,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
cnf(cls_Inf__insert_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__insert_0) ).
cnf(cls_domI_0,axiom,
( c_in(X2,c_Map_Odom(X1,X5,X4),X5)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domI_0) ).
cnf(cls_ranI_0,axiom,
( c_in(X3,c_Map_Oran(X1,X5,X4),X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ranI_0) ).
cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Ononempty__iff_2) ).
cnf(cls_finite__insert_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_0) ).
cnf(cls_not__psubset__empty_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).
cnf(cls_compl__unique_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != 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/sandbox/benchmark/theBenchmark.p',cls_compl__unique_0) ).
cnf(cls_less__le__not__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).
cnf(cls_psubset__eq_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_2) ).
cnf(cls_subset__iff__psubset__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__iff__psubset__eq_0) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_Un__absorb2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_neg__less__iff__less_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__less__iff__less_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).
cnf(cls_psubset__eq_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_0) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_0) ).
cnf(cls_Min__le_0,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__le_0) ).
cnf(cls_Max__ge_0,axiom,
( c_lessequals(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X2,X3,X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__ge_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/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).
cnf(cls_asm_0,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_0) ).
cnf(cls_Un__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_Un__empty_1,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
cnf(cls_finite__Diff_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Diff_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
cnf(cls_minus__diff__eq_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__diff__eq_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/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_ComplI_0,axiom,
( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_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/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_domIff_1,axiom,
( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
| hAPP(X2,X1) = c_Option_Ooption_ONone(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_1) ).
cnf(cls_not__less__iff__gr__or__eq_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
cnf(cls_linorder__antisym__conv2_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_order__less__asym_H_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
cnf(cls_order__less__asym_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_xt1_I9_J_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
cnf(cls_Compl__partition2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__partition2_0) ).
cnf(cls_Compl__partition_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__partition_0) ).
cnf(cls_atLeastatMost__empty_0,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty_0) ).
cnf(cls_Inf__lower_0,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_in(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__lower_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)
| ~ c_in(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__upper_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_atLeastAtMost__singleton_0,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X2,X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastAtMost__singleton_0) ).
cnf(cls_emptyE_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_empty__iff_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Diff__UNIV_0) ).
cnf(cls_sup__inf__absorb_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_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/sandbox/benchmark/theBenchmark.p',cls_inf__le1_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_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/sandbox/benchmark/theBenchmark.p',cls_inf__le2_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_insertCI_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertI1_0) ).
cnf(cls_insert__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_finite__subset_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/sandbox/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).
cnf(cls_Un__UNIV__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
cnf(cls_Un__UNIV__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_linorder__antisym__conv1_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
cnf(cls_linorder__antisym__conv2_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
cnf(cls_xt1_I11_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
cnf(cls_xt1_I12_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
cnf(cls_order__le__less_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_0) ).
cnf(cls_order__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_2) ).
cnf(cls_order__le__neq__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
cnf(cls_order__neq__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_sup__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_order__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
cnf(cls_order__le__less_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__le__less_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_Option_Oset_Osimps_I2_J_0,axiom,
c_Option_Oset(c_Option_Ooption_OSome(X1,X2),X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Option_Oset_Osimps_I2_J_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/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_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/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_finite__insert_1,axiom,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__insert_1) ).
cnf(cls_atLeastatMost__empty__iff2_1,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff2_1) ).
cnf(cls_atLeastatMost__empty__iff_1,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff_1) ).
cnf(cls_elem__set_0,axiom,
( X1 = c_Option_Ooption_OSome(X2,X3)
| ~ c_in(X2,c_Option_Oset(X1,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_elem__set_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_hoare__sound_0,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__sound_0) ).
cnf(cls_diff__eq_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__eq_0) ).
cnf(cls_Min__in_0,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Min__in_0) ).
cnf(cls_Max__in_0,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Max__in_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_elem__set_1,axiom,
c_in(X1,c_Option_Oset(c_Option_Ooption_OSome(X1,X2),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_elem__set_1) ).
cnf(cls_empty_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty_0) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_psubset__eq_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_linorder__antisym__conv3_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
cnf(cls_linorder__less__linear_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
cnf(cls_linorder__neqE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
cnf(cls_not__less__iff__gr__or__eq_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
cnf(cls_Compl__eq__Compl__iff_0,axiom,
( X1 = X3
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
cnf(cls_linorder__antisym__conv1_1,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
cnf(cls_linorder__not__less_0,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
cnf(cls_linorder__not__le_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
cnf(cls_not__leE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_sup__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_0) ).
cnf(cls_Compl__empty__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__empty__eq_0) ).
cnf(cls_Compl__UNIV__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__UNIV__eq_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/sandbox/benchmark/theBenchmark.p',cls_compl__inf__bot_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/sandbox/benchmark/theBenchmark.p',cls_inf__commute_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_finite__dom__body_0,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
cnf(cls_double__complement_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(cls_UNIV__I_0,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_sup__eq__bot__eq1_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
cnf(cls_sup__eq__bot__eq2_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom,
( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X3),X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult_Omult__commute_0) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_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/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).
cnf(cls_linorder__neq__iff_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
cnf(cls_order__less__irrefl_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
cnf(cls_order__less__le_1,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__less__le_1) ).
cnf(cls_compl__sup__top_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).
cnf(cls_sup__compl__top_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__compl__top_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/sandbox/benchmark/theBenchmark.p',cls_inf__compl__bot_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/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_Inf__empty_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__empty_0) ).
cnf(cls_Inf__UNIV_0,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Inf__UNIV_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_WTs__elim__cases_I7_J_0,axiom,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X1),tc_Com_Ocom)
| ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTs__elim__cases_I7_J_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_sup__top__left_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_sup__top__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_set__empty__eq_0,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty__eq_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/sandbox/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).
cnf(cls_sup__bot__left_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
cnf(cls_sup__bot__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__top__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/sandbox/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).
cnf(cls_sup__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__idem_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
cnf(cls_the__sym__eq__trivial_0,axiom,
c_The(hAPP(c_fequal(X1),X2),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__sym__eq__trivial_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/sandbox/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_minus__minus_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_double__compl_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/sandbox/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_equation__minus__iff_0) ).
cnf(cls_set__empty__eq_1,axiom,
c_Option_Oset(c_Option_Ooption_ONone(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty__eq_1) ).
cnf(cls_the_Osimps_0,axiom,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the_Osimps_0) ).
cnf(cls_option_Oinject_0,axiom,
( X1 = X3
| c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_OSome(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Oinject_0) ).
cnf(cls_WT__bodiesD_0,axiom,
( c_Com_OWT(X2)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| ~ c_Com_OWT__bodies ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
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/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
cnf(cls_com_Osimps_I6_J_0,axiom,
( X1 = X2
| hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I6_J_0) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
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/sandbox/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
| ~ class_Lattices_Oboolean__algebra(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).
cnf(cls_option_Osimps_I3_J_0,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I3_J_0) ).
cnf(cls_not__None__eq_1,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__None__eq_1) ).
cnf(cls_option_Osimps_I2_J_0,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Some__eq_1) ).
cnf(cls_conjecture_6,negated_conjecture,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_4,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_finite_0,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).
cnf(clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1))
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Finite__Set_Ofinite(v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_state__not__singleton__def_1,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_725,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Finite__Set_Ofold1(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool)),X1) = hAPP(hAPP(X4,c_Finite__Set_Ofold1(X4,X2,X1)),c_Finite__Set_Ofold1(X4,X3,X1))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X1) ),
cls_ab__semigroup__mult_Ofold1__Un_0 ).
cnf(i_0_726,axiom,
c_Finite__Set_Ofold1(X1,X2,X3) = c_The(c_Finite__Set_Ofold1Set(X1,X2,X3),X3),
cls_fold1__def_0 ).
cnf(i_0_727,axiom,
( c_Finite__Set_Ofold1(X1,c_Set_Oinsert(X2,X3,X4),X4) = hAPP(hAPP(X1,X2),c_Finite__Set_Ofold1(X1,X3,X4))
| c_in(X2,X3,X4)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
cls_ab__semigroup__mult_Ofold1__insert_0 ).
cnf(i_0_728,axiom,
( c_lessequals(X2,X3,X1)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Lattices_Olower__semilattice(X1)
| ~ 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 ).
cnf(i_0_729,axiom,
( c_in(X1,X2,X3)
| ~ 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_730,axiom,
c_Collect(X1,X2) = X1,
cls_Collect__def_0 ).
cnf(i_0_731,axiom,
( hBOOL(hAPP(X1,X2))
| ~ 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_732,axiom,
c_Finite__Set_Ofold1(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X2,
cls_fold1__singleton_0 ).
cnf(i_0_733,axiom,
( 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))
| ~ c_in(X1,X3,X2) ),
cls_Int__Collect_2 ).
cnf(i_0_734,axiom,
( c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_fold1__belowI_0 ).
cnf(i_0_735,axiom,
c_Collect(hAPP(c_fequal(X1),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_singleton__conv2_0 ).
cnf(i_0_736,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Collect(X1,X3),X3) ),
cls_CollectD_0 ).
cnf(i_0_737,axiom,
( c_in(X1,c_Collect(X2,X3),X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_CollectI_0 ).
cnf(i_0_738,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_739,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_740,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
cls_complete__lattice_OInf__binary_0,
[final] ).
cnf(i_0_741,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
cls_complete__lattice_OSup__binary_0,
[final] ).
cnf(i_0_742,axiom,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ 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_743,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
cls_complete__lattice_OInf__singleton_0,
[final] ).
cnf(i_0_744,axiom,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
cls_complete__lattice_OSup__singleton_0,
[final] ).
cnf(i_0_745,axiom,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ 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_746,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
cls_complete__lattice_OInf__insert_0,
[final] ).
cnf(i_0_747,axiom,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
cls_complete__lattice_OSup__insert_0,
[final] ).
cnf(i_0_748,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_749,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_750,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_751,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_752,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X2,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X2,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
cls_MGT__Body_0,
[final] ).
cnf(i_0_753,negated_conjecture,
c_lessequals(v_Fa,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
cls_conjecture_3,
[final] ).
cnf(i_0_754,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
cls_conjecture_7,
[final] ).
cnf(i_0_755,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
cls_image__subset__iff_2,
[final] ).
cnf(i_0_756,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
cls_image__subsetI_1,
[final] ).
cnf(i_0_757,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
cls_fun__upd__twist_0,
[final] ).
cnf(i_0_758,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_759,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Com_Ocom_OBODY,X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Com_Ocom_OBODY,X3),X4,X5),X1,tc_Hoare__Mirabelle_Otriple(X5)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5) ),
cls_BodyN_0,
[final] ).
cnf(i_0_760,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_Com_Ostate),
cls_conjecture_5,
[final] ).
cnf(i_0_761,axiom,
( c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X5,tc_bool)),X5,X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,X4,X5,X1)
| ~ c_Fun_Oinj__on(X2,X3,X5,X1) ),
cls_inj__on__Un_3,
[final] ).
cnf(i_0_762,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
cls_fun__upd__upd_0,
[final] ).
cnf(i_0_763,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_in(X2,X6,X4) ),
cls_fun__upd__image_0,
[final] ).
cnf(i_0_764,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_765,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X2),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)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))),c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X1,tc_bool))),
cls_Un__Int__crazy_0,
[final] ).
cnf(i_0_766,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,tc_Com_Ostate),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
cls_MGF__complete_0,
[final] ).
cnf(i_0_767,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Com_Ocom_OBODY,X3),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X2,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X4,X5),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_bool)),tc_Hoare__Mirabelle_Otriple(X5)),X5) ),
cls_weak__Body_0,
[final] ).
cnf(i_0_768,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__fun__updI_0,
[final] ).
cnf(i_0_769,axiom,
( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
| ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
cls_finite__subset__image_2,
[final] ).
cnf(i_0_770,axiom,
( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X4,X5)
| ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
cls_subset__image__iff_1,
[final] ).
cnf(i_0_771,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_772,axiom,
( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
cls_finite__subset__image_0,
[final] ).
cnf(i_0_773,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_774,axiom,
( c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool)) ),
cls_subset__image__iff_0,
[final] ).
cnf(i_0_775,axiom,
( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
cls_finite__subset__image_1,
[final] ).
cnf(i_0_776,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
cls_inj__on__insert_1,
[final] ).
cnf(i_0_777,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X5,tc_bool)),X5,X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X5,tc_bool)),X5,X1) ),
cls_inj__on__Un_2,
[final] ).
cnf(i_0_778,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4),X2,X3) ),
cls_image__subset__iff_1,
[final] ).
cnf(i_0_779,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4),X2,X3) ),
cls_image__subsetI_0,
[final] ).
cnf(i_0_780,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__diff__subset_0,
[final] ).
cnf(i_0_781,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| c_in(X2,X6,X4) ),
cls_fun__upd__image_1,
[final] ).
cnf(i_0_782,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_783,axiom,
( c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4)),tc_fun(X4,tc_bool))
| ~ c_in(X2,X5,X6) ),
cls_weak__coinduct__image_0,
[final] ).
cnf(i_0_784,axiom,
( c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
| ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| ~ c_Map_Omap__le(X2,X5,X3,X4)
| ~ c_Map_Omap__le(X1,X5,X3,X4) ),
cls_map__add__le__mapI_0,
[final] ).
cnf(i_0_785,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X5,X3,X4,X2)
| ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
cls_card__bij__eq_0,
[final] ).
cnf(i_0_786,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_787,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
cls_inj__on__insert_2,
[final] ).
cnf(i_0_788,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_ATP__Linkup_OCOMBB__def_0,
[final] ).
cnf(i_0_789,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0,
[final] ).
cnf(i_0_790,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__other_0,
[final] ).
cnf(i_0_791,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__apply_1,
[final] ).
cnf(i_0_792,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__apply_0,
[final] ).
cnf(i_0_793,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0,
[final] ).
cnf(i_0_794,axiom,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__Compl__subset_0,
[final] ).
cnf(i_0_795,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_796,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,
[final] ).
cnf(i_0_797,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_4,
[final] ).
cnf(i_0_798,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__set__diff_0,
[final] ).
cnf(i_0_799,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,
[final] ).
cnf(i_0_800,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__set__diff_0,
[final] ).
cnf(i_0_801,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
cls_fun__upd__idem__iff_0,
[final] ).
cnf(i_0_802,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2)),X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
cls_MGT__BodyN_0,
[final] ).
cnf(i_0_803,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__insert_0,
[final] ).
cnf(i_0_804,axiom,
( X1 = X2
| ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4),X2)) ),
cls_fold1Set__sing_0,
[final] ).
cnf(i_0_805,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
cls_vimage__code_0,
[final] ).
cnf(i_0_806,axiom,
( c_Map_Omap__add(X1,X2,X3,X4) = c_Map_Omap__add(X2,X1,X3,X4)
| ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
cls_map__le__iff__map__add__commute_0,
[final] ).
cnf(i_0_807,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_808,plain,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_The(c_Finite__Set_Ofold1Set(X4,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool)),X1),X1) = hAPP(hAPP(X4,c_The(c_Finite__Set_Ofold1Set(X4,X2,X1),X1)),c_The(c_Finite__Set_Ofold1Set(X4,X3,X1),X1))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_725,c_0_726]),c_0_726]),c_0_726]),
[final] ).
cnf(i_0_809,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X4,X3,tc_fun(X5,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_UN__Un_0,
[final] ).
cnf(i_0_810,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_811,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,
[final] ).
cnf(i_0_812,axiom,
( hAPP(X1,X2) = X3
| ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
cls_vimage__singleton__eq_0,
[final] ).
cnf(i_0_813,axiom,
( c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4) ),
cls_map__le__iff__map__add__commute_1,
[final] ).
cnf(i_0_814,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,
[final] ).
cnf(i_0_815,axiom,
c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5) = c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5),
cls_map__add__assoc_0,
[final] ).
cnf(i_0_816,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
cls_image__Un_0,
[final] ).
cnf(i_0_817,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Un_0,
[final] ).
cnf(i_0_818,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Diff_0,
[final] ).
cnf(i_0_819,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_9,
[final] ).
cnf(i_0_820,axiom,
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
cls_evalc_OBody_0,
[final] ).
cnf(i_0_821,axiom,
( c_in(X1,X2,X3)
| ~ 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_822,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_8,
[final] ).
cnf(i_0_823,axiom,
( c_Map_Omap__le(X1,X2,X3,X4)
| ~ c_Map_Omap__le(c_Map_Omap__add(X5,X1,X3,X4),X2,X3,X4) ),
cls_map__add__le__mapE_0,
[final] ).
cnf(i_0_824,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un__image__eq__iff_0,
[final] ).
cnf(i_0_825,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_5,
[final] ).
cnf(i_0_826,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_4,
[final] ).
cnf(i_0_827,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2))),
cls_Nitpick_OEx1__def_2,
[final] ).
cnf(i_0_828,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_4,
[final] ).
cnf(i_0_829,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ c_in(X6,X1,X3) ),
cls_SUP1__I_0,
[final] ).
cnf(i_0_830,axiom,
( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5))
| ~ hBOOL(hAPP(hAPP(X2,X6),X5))
| ~ c_in(X6,X1,X3) ),
cls_SUP1__iff_2,
[final] ).
cnf(i_0_831,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_diff__single__insert_0,
[final] ).
cnf(i_0_832,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_3,
[final] ).
cnf(i_0_833,axiom,
( c_Map_Omap__add(X2,X4,X1,X3) = c_Map_Omap__add(X4,X2,X1,X3)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Map_Odom(X2,X1,X3)),c_Map_Odom(X4,X1,X3)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_map__add__comm_0,
[final] ).
cnf(i_0_834,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_835,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem__iff_1,
[final] ).
cnf(i_0_836,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__triv_0,
[final] ).
cnf(i_0_837,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem_0,
[final] ).
cnf(i_0_838,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,
[final] ).
cnf(i_0_839,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_840,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_841,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_842,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,
[final] ).
cnf(i_0_843,axiom,
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3)) ),
cls_evalc__elim__cases_I6_J_0,
[final] ).
cnf(i_0_844,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_845,axiom,
( c_lessequals(hAPP(X1,X2),X3,tc_fun(X4,tc_bool))
| ~ c_in(X2,X5,X6)
| ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X5,X1,X6,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_UN__subset__iff_0,
[final] ).
cnf(i_0_846,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
cls_vimage__code_1,
[final] ).
cnf(i_0_847,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_848,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ 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_849,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__sup__le_0,
[final] ).
cnf(i_0_850,axiom,
( c_lessequals(X4,X2,tc_fun(X1,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))) ),
cls_Un__Int__assoc__eq_0,
[final] ).
cnf(i_0_851,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_MGF__lemma1_1,
[final] ).
cnf(i_0_852,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))),X4) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(X1,tc_bool)),
cls_Int__Un__distrib2_0,
[final] ).
cnf(i_0_853,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(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),tc_fun(X1,tc_bool)),
cls_Diff__Int__distrib2_0,
[final] ).
cnf(i_0_854,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_eq__card__imp__inj__on_0,
[final] ).
cnf(i_0_855,axiom,
hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X2)),
cls_fold1Set__sing_1,
[final] ).
cnf(i_0_856,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_1,
[final] ).
cnf(i_0_857,axiom,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
cls_vimage__singleton__eq_1,
[final] ).
cnf(i_0_858,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ 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_859,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_0,
[final] ).
cnf(i_0_860,axiom,
( c_Map_Omap__le(X1,X2,X3,X4)
| ~ c_Map_Omap__le(X5,X2,X3,X4)
| ~ c_Map_Omap__le(X1,X5,X3,X4) ),
cls_map__le__trans_0,
[final] ).
cnf(i_0_861,axiom,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),X4,X3,tc_fun(X5,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X1),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X4,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_UN__insert_0,
[final] ).
cnf(i_0_862,axiom,
( c_Finite__Set_Ofinite(hAPP(X1,X2),X3)
| ~ c_in(X2,X4,X5)
| ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X1,X5,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X4,X5) ),
cls_finite__UN_0,
[final] ).
cnf(i_0_863,axiom,
c_HOL_Ominus__class_Ominus(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),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
cls_Diff__Int2_0,
[final] ).
cnf(i_0_864,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,
[final] ).
cnf(i_0_865,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool))
| ~ c_in(X2,X3,X4) ),
cls_UN__absorb_0,
[final] ).
cnf(i_0_866,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_867,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_868,axiom,
c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X1,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))),
cls_Un__Int__distrib2_0,
[final] ).
cnf(i_0_869,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X2,tc_bool))),
cls_Un__Int__distrib_0,
[final] ).
cnf(i_0_870,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(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),tc_fun(X1,tc_bool)),
cls_Int__Un__distrib_0,
[final] ).
cnf(i_0_871,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(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),tc_fun(X1,tc_bool)),
cls_Diff__Int__distrib_0,
[final] ).
cnf(i_0_872,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
cls_vimageD_0,
[final] ).
cnf(i_0_873,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
cls_vimageE_0,
[final] ).
cnf(i_0_874,axiom,
( X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X1)) ),
cls_Nitpick_OEx1__def_3,
[final] ).
cnf(i_0_875,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_876,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_inj__on__iff__eq__card_0,
[final] ).
cnf(i_0_877,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
cls_image__insert_0,
[final] ).
cnf(i_0_878,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_card__image_0,
[final] ).
cnf(i_0_879,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
cls_insert__image_0,
[final] ).
cnf(i_0_880,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__inf__le_0,
[final] ).
cnf(i_0_881,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_882,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un_0,
[final] ).
cnf(i_0_883,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un_1,
[final] ).
cnf(i_0_884,axiom,
( hAPP(X1,X5) = c_Option_Ooption_OSome(X6,X4)
| hAPP(X2,X5) = c_Option_Ooption_OSome(X6,X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_OSome(X6,X4) ),
cls_map__add__SomeD_1,
[final] ).
cnf(i_0_885,axiom,
( hAPP(X2,X5) = c_Option_Ooption_ONone(X4)
| hAPP(X2,X5) = c_Option_Ooption_OSome(X6,X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_OSome(X6,X4) ),
cls_map__add__SomeD_0,
[final] ).
cnf(i_0_886,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_887,axiom,
c_Set_Ovimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X4,X3) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(X1,X2,X4,X3),tc_fun(X4,tc_bool)),
cls_vimage__Compl_0,
[final] ).
cnf(i_0_888,axiom,
c_Map_Odom(c_Map_Omap__add(X1,X2,X3,X4),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(X2,X3,X4),c_Map_Odom(X1,X3,X4),tc_fun(X3,tc_bool)),
cls_dom__map__add_0,
[final] ).
cnf(i_0_889,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_0,
[final] ).
cnf(i_0_890,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_1,
[final] ).
cnf(i_0_891,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_2,
[final] ).
cnf(i_0_892,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_3,
[final] ).
cnf(i_0_893,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_Diff__insert2_0,
[final] ).
cnf(i_0_894,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool))),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool))),
cls_Diff__Un_0,
[final] ).
cnf(i_0_895,axiom,
( hAPP(X1,X5) = c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_ONone(X4) ),
cls_map__add__None_1,
[final] ).
cnf(i_0_896,axiom,
( hAPP(X2,X5) = c_Option_Ooption_ONone(X4)
| hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) != c_Option_Ooption_ONone(X4) ),
cls_map__add__None_0,
[final] ).
cnf(i_0_897,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_2,
[final] ).
cnf(i_0_898,axiom,
( c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5)
| ~ c_in(X1,hAPP(X3,X6),X5)
| ~ c_in(X6,X2,X4) ),
cls_UN__I_0,
[final] ).
cnf(i_0_899,axiom,
( c_in(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X5,tc_bool)),X5)
| ~ c_in(X1,hAPP(X3,X6),X5)
| ~ c_in(X6,X2,X4) ),
cls_UN__iff_2,
[final] ).
cnf(i_0_900,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
cls_inj__on__insert_0,
[final] ).
cnf(i_0_901,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
cls_insert__inter__insert_0,
[final] ).
cnf(i_0_902,axiom,
c_Set_Oinsert(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),X4) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),
cls_UN__extend__simps_I1_J_0,
[final] ).
cnf(i_0_903,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__diff_0,
[final] ).
cnf(i_0_904,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
| ~ c_in(X2,X4,X1) ),
cls_Int__insert__left_0,
[final] ).
cnf(i_0_905,axiom,
( X1 = X2
| ~ c_Map_Omap__le(X2,X1,X3,X4)
| ~ c_Map_Omap__le(X1,X2,X3,X4) ),
cls_map__le__antisym_0,
[final] ).
cnf(i_0_906,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool)))
| ~ c_lessequals(X4,X2,tc_fun(X1,tc_bool)) ),
cls_Un__Int__assoc__eq_1,
[final] ).
cnf(i_0_907,axiom,
( X1 = X5
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
cls_triple_Oinject_0,
[final] ).
cnf(i_0_908,axiom,
( X2 = X6
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
cls_triple_Oinject_1,
[final] ).
cnf(i_0_909,axiom,
( X3 = X7
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,X4) != c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,X7,X4) ),
cls_triple_Oinject_2,
[final] ).
cnf(i_0_910,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
| ~ c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
cls_map__add__dom__app__simps_I1_J_0,
[final] ).
cnf(i_0_911,axiom,
( hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4)
| ~ c_in(X2,c_Map_Odom(X1,X3,X4),X3) ),
cls_domD_0,
[final] ).
cnf(i_0_912,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X3,tc_Hoare__Mirabelle_Otriple(X4)),X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_bool)),tc_Hoare__Mirabelle_Otriple(X4)),X4) ),
cls_hoare__derivs_Oinsert_0,
[final] ).
cnf(i_0_913,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
cls_finite__Diff__insert_0,
[final] ).
cnf(i_0_914,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_915,axiom,
c_HOL_Ominus__class_Ominus(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_Diff__Int_0,
[final] ).
cnf(i_0_916,plain,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_The(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,X3,X4),X4),X4) = hAPP(hAPP(X1,X2),c_The(c_Finite__Set_Ofold1Set(X1,X3,X4),X4))
| c_in(X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_727,c_0_726]),c_0_726]),
[final] ).
cnf(i_0_917,axiom,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
cls_map__le__map__add_0,
[final] ).
cnf(i_0_918,axiom,
( c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))
| ~ c_in(X2,X3,X4) ),
cls_UN__upper_0,
[final] ).
cnf(i_0_919,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = X4,
cls_UN__extend__simps_I2_J_0,
[final] ).
cnf(i_0_920,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
cls_UN__extend__simps_I3_J_0,
[final] ).
cnf(i_0_921,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
cls_INT__extend__simps_I4_J_0,
[final] ).
cnf(i_0_922,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__Diff_0,
[final] ).
cnf(i_0_923,axiom,
~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3)),
cls_empty__fold1SetE_0,
[final] ).
cnf(i_0_924,plain,
( X4 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X4,X1)
| ~ c_in(X3,X4,X1)
| ~ c_lessequals(X2,c_The(c_Finite__Set_Ofold1Set(c_Lattices_Olower__semilattice__class_Oinf(X1),X4,X1),X1),X1) ),
inference(rw,[status(thm)],[i_0_728,c_0_726]),
[final] ).
cnf(i_0_925,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_926,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X1,X5)
| c_in(X5,c_Map_Odom(X2,X3,X4),X3) ),
cls_map__add__dom__app__simps_I3_J_0,
[final] ).
cnf(i_0_927,axiom,
( hAPP(c_Map_Omap__add(X1,X2,X3,X4),X5) = hAPP(X2,X5)
| c_in(X5,c_Map_Odom(X1,X3,X4),X3) ),
cls_map__add__dom__app__simps_I2_J_0,
[final] ).
cnf(i_0_928,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__Diff__single_0,
[final] ).
cnf(i_0_929,axiom,
( c_lessequals(c_Map_Odom(X1,X2,X3),c_Map_Odom(X4,X2,X3),tc_fun(X2,tc_bool))
| ~ c_Map_Omap__le(X1,X4,X2,X3) ),
cls_map__le__implies__dom__le_0,
[final] ).
cnf(i_0_930,axiom,
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
| c_in(X2,X1,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Diff__singleton__if_1,
[final] ).
cnf(i_0_931,axiom,
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_932,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
| ~ c_in(X3,X2,X1) ),
cls_Int__insert__right_0,
[final] ).
cnf(i_0_933,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimageI_0,
[final] ).
cnf(i_0_934,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimageI2_0,
[final] ).
cnf(i_0_935,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimage__eq_1,
[final] ).
cnf(i_0_936,axiom,
( hAPP(X1,X2) = hAPP(X3,X2)
| ~ c_in(X2,c_Map_Odom(X1,X4,X5),X4)
| ~ c_Map_Omap__le(X1,X3,X4,X5) ),
cls_map__le__def_0,
[final] ).
cnf(i_0_937,axiom,
( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_in(X3,X4,X5) ),
cls_le__SUPI_0,
[final] ).
cnf(i_0_938,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X5,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X5,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_2,
[final] ).
cnf(i_0_939,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
cls_imageI_0,
[final] ).
cnf(i_0_940,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
cls_image__eqI_0,
[final] ).
cnf(i_0_941,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
cls_image__iff_2,
[final] ).
cnf(i_0_942,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
cls_rev__image__eqI_0,
[final] ).
cnf(i_0_943,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
cls_Int__Diff_0,
[final] ).
cnf(i_0_944,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_945,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_946,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_atLeastatMost__psubset__iff_6,
[final] ).
cnf(i_0_947,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_atLeastatMost__psubset__iff_5,
[final] ).
cnf(i_0_948,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
cls_finite__Diff__insert_1,
[final] ).
cnf(i_0_949,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_3,
[final] ).
cnf(i_0_950,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__mono_0,
[final] ).
cnf(i_0_951,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Diff__mono_0,
[final] ).
cnf(i_0_952,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
cls_Diff__insert_0,
[final] ).
cnf(i_0_953,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Diff_0,
[final] ).
cnf(i_0_954,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5) ),
cls_inj__onD_0,
[final] ).
cnf(i_0_955,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__def_0,
[final] ).
cnf(i_0_956,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__iff_0,
[final] ).
cnf(i_0_957,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__contraD_0,
[final] ).
cnf(i_0_958,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_959,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_960,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_0,
[final] ).
cnf(i_0_961,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X5,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__subset__iff_0,
[final] ).
cnf(i_0_962,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_1,
[final] ).
cnf(i_0_963,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X2,X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X4,X2,X1),c_SetInterval_Oord__class_OatLeastAtMost(X5,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__subset__iff_1,
[final] ).
cnf(i_0_964,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__binary_0,
[final] ).
cnf(i_0_965,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__binary_0,
[final] ).
cnf(i_0_966,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
cls_derivs__insertD_0,
[final] ).
cnf(i_0_967,axiom,
( hAPP(X2,X5) = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ c_in(X5,X1,X3) ),
cls_UNION__empty__conv_I2_J_0,
[final] ).
cnf(i_0_968,axiom,
( hAPP(X3,X5) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,tc_fun(X1,tc_bool))
| ~ c_in(X5,X2,X4) ),
cls_UNION__empty__conv_I1_J_0,
[final] ).
cnf(i_0_969,axiom,
( hAPP(c_Map_Omap__add(X1,X5,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
| hAPP(X5,X2) != c_Option_Ooption_ONone(X4) ),
cls_map__add__Some__iff_3,
[final] ).
cnf(i_0_970,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Diff__subset__conv_1,
[final] ).
cnf(i_0_971,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_Diff__subset__conv_0,
[final] ).
cnf(i_0_972,axiom,
( c_in(X1,X2,X3)
| ~ 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_973,plain,
( c_in(X1,X2,X3)
| ~ 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_729,c_0_730]),
[final] ).
cnf(i_0_974,axiom,
( c_in(X1,X2,X3)
| ~ 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_975,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
cls_subset__singletonD_0,
[final] ).
cnf(i_0_976,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
cls_sup1E_0,
[final] ).
cnf(i_0_977,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_978,axiom,
( hAPP(c_Map_Omap__add(X1,X4,X5,X3),X2) = c_Option_Ooption_ONone(X3)
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
| hAPP(X4,X2) != c_Option_Ooption_ONone(X3) ),
cls_map__add__None_2,
[final] ).
cnf(i_0_979,axiom,
( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
cls_map__add__Some__iff_2,
[final] ).
cnf(i_0_980,axiom,
( hAPP(c_Map_Omap__add(X5,X1,X6,X4),X2) = c_Option_Ooption_OSome(X3,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
cls_map__add__find__right_0,
[final] ).
cnf(i_0_981,plain,
( hBOOL(hAPP(X1,X2))
| ~ 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_731,c_0_730]),
[final] ).
cnf(i_0_982,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
| c_in(X2,X4,X1) ),
cls_Int__insert__left_1,
[final] ).
cnf(i_0_983,axiom,
c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))),
cls_Compl__Un_0,
[final] ).
cnf(i_0_984,axiom,
( hBOOL(hAPP(X1,X2))
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_1,
[final] ).
cnf(i_0_985,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ c_in(X5,X4,X3) ),
cls_image__constant_0,
[final] ).
cnf(i_0_986,axiom,
c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
cls_Compl__Int_0,
[final] ).
cnf(i_0_987,plain,
c_The(c_Finite__Set_Ofold1Set(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = X2,
inference(rw,[status(thm)],[i_0_732,c_0_726]),
[final] ).
cnf(i_0_988,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib2_0,
[final] ).
cnf(i_0_989,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1))
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib1_0,
[final] ).
cnf(i_0_990,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)),X4) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib2_0,
[final] ).
cnf(i_0_991,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
cls_doubleton__eq__iff_4,
[final] ).
cnf(i_0_992,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_993,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),tc_fun(X1,tc_bool)) ),
cls_atLeastatMost__psubset__iff_3,
[final] ).
cnf(i_0_994,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_995,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
cls_Un__Diff__Int_0,
[final] ).
cnf(i_0_996,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
cls_IntI_0,
[final] ).
cnf(i_0_997,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
cls_Int__iff_2,
[final] ).
cnf(i_0_998,axiom,
( hBOOL(hAPP(X1,X2))
| c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_0,
[final] ).
cnf(i_0_999,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X1),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)
| ~ c_Com_OWT(X2)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_MGF__lemma1_0,
[final] ).
cnf(i_0_1000,axiom,
( c_HOL_Ominus__class_Ominus(c_Map_Odom(X1,X4,X3),c_Set_Oinsert(X2,X5,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Map_Odom(X1,X4,X3),X5,tc_fun(X4,tc_bool))
| hAPP(X1,X2) != c_Option_Ooption_ONone(X3) ),
cls_dom__minus_0,
[final] ).
cnf(i_0_1001,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1,
[final] ).
cnf(i_0_1002,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_7,
[final] ).
cnf(i_0_1003,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_2,
[final] ).
cnf(i_0_1004,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_double__diff_0,
[final] ).
cnf(i_0_1005,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__least_0,
[final] ).
cnf(i_0_1006,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_2,
[final] ).
cnf(i_0_1007,plain,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X3,X2)
| ~ hBOOL(hAPP(X4,X1)) ),
inference(rw,[status(thm)],[i_0_733,c_0_730]),
[final] ).
cnf(i_0_1008,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_atLeastatMost__subset__iff_3,
[final] ).
cnf(i_0_1009,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X2) ),
cls_vimage__const_0,
[final] ).
cnf(i_0_1010,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__assoc_0,
[final] ).
cnf(i_0_1011,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Un__left__commute_0,
[final] ).
cnf(i_0_1012,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_1013,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_1014,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_0,
[final] ).
cnf(i_0_1015,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
cls_Diff__insert__absorb_0,
[final] ).
cnf(i_0_1016,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
| c_in(X3,X2,X1) ),
cls_Int__insert__right_1,
[final] ).
cnf(i_0_1017,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
cls_insert__Diff__if_1,
[final] ).
cnf(i_0_1018,axiom,
( ~ c_in(X1,X2,X3)
| ~ 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_1019,axiom,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X4,X5,X1) ),
cls_atLeastatMost__psubset__iff_4,
[final] ).
cnf(i_0_1020,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_0,
[final] ).
cnf(i_0_1021,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_1,
[final] ).
cnf(i_0_1022,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X4,X2) ),
cls_vimage__const_1,
[final] ).
cnf(i_0_1023,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_UnE_0,
[final] ).
cnf(i_0_1024,plain,
( c_lessequals(c_The(c_Finite__Set_Ofold1Set(c_Lattices_Olower__semilattice__class_Oinf(X1),X2,X1),X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_in(X3,X2,X1) ),
inference(rw,[status(thm)],[i_0_734,c_0_726]),
[final] ).
cnf(i_0_1025,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_1026,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Compl__subset__Compl__iff_0,
[final] ).
cnf(i_0_1027,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib1_0,
[final] ).
cnf(i_0_1028,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert_0,
[final] ).
cnf(i_0_1029,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_1,
[final] ).
cnf(i_0_1030,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_singletonE_0,
[final] ).
cnf(i_0_1031,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_1032,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_1033,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_disjoint__eq__subset__Compl_0,
[final] ).
cnf(i_0_1034,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_3,
[final] ).
cnf(i_0_1035,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_1036,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
cls_MGF_0,
[final] ).
cnf(i_0_1037,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
cls_insert__mono_0,
[final] ).
cnf(i_0_1038,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_DiffE_1,
[final] ).
cnf(i_0_1039,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
cls_disjoint__eq__subset__Compl_1,
[final] ).
cnf(i_0_1040,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__subset_2,
[final] ).
cnf(i_0_1041,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_6,
[final] ).
cnf(i_0_1042,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
cls_Un__insert__left_0,
[final] ).
cnf(i_0_1043,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
cls_Un__insert__right_0,
[final] ).
cnf(i_0_1044,axiom,
( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,c_COMBK(X3,X1,X4),X4,X1) = X3
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_SUP__const_0,
[final] ).
cnf(i_0_1045,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_sup1CI_1,
[final] ).
cnf(i_0_1046,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_sup1CI_0,
[final] ).
cnf(i_0_1047,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
cls_DiffE_0,
[final] ).
cnf(i_0_1048,axiom,
( c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X4,hAPP(X2,X4),tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_weak__coinduct_0,
[final] ).
cnf(i_0_1049,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_1,
[final] ).
cnf(i_0_1050,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_1051,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_1052,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert_1,
[final] ).
cnf(i_0_1053,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_2,
[final] ).
cnf(i_0_1054,axiom,
( c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X1),tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastatMost__subset__iff_2,
[final] ).
cnf(i_0_1055,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Diff__partition_0,
[final] ).
cnf(i_0_1056,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_DiffI_0,
[final] ).
cnf(i_0_1057,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_Diff__iff_2,
[final] ).
cnf(i_0_1058,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__Diff1_0,
[final] ).
cnf(i_0_1059,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Diff__triv_0,
[final] ).
cnf(i_0_1060,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_0,
[final] ).
cnf(i_0_1061,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
cls_Compl__anti__mono_0,
[final] ).
cnf(i_0_1062,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
cls_Compl__subset__Compl__iff_1,
[final] ).
cnf(i_0_1063,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__is__Un_0,
[final] ).
cnf(i_0_1064,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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_1065,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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_1066,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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_1067,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
cls_Compl__Diff__eq_0,
[final] ).
cnf(i_0_1068,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X1))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(X3),X4),X2)) ),
cls_com__det_0,
[final] ).
cnf(i_0_1069,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_1070,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_1071,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_1072,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
cls_singleton__inject_0,
[final] ).
cnf(i_0_1073,axiom,
( hAPP(hAPP(X1,hAPP(hAPP(X1,X2),X3)),X4) = hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
cls_ab__semigroup__mult_Omult__ac_I1_J_0,
[final] ).
cnf(i_0_1074,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Map_Omap__of(X1,X2,X3),X2,X3),X2),
cls_finite__dom__map__of_0,
[final] ).
cnf(i_0_1075,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = 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_1076,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I6_J_0,
[final] ).
cnf(i_0_1077,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__assoc_0,
[final] ).
cnf(i_0_1078,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I7_J_0,
[final] ).
cnf(i_0_1079,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__commute_0,
[final] ).
cnf(i_0_1080,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X4,X2,tc_Hoare__Mirabelle_Otriple(X3)),X3) ),
cls_derivs__insertD_1,
[final] ).
cnf(i_0_1081,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_1082,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,
[final] ).
cnf(i_0_1083,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,
[final] ).
cnf(i_0_1084,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_1085,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Diff__disjoint_0,
[final] ).
cnf(i_0_1086,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0,
[final] ).
cnf(i_0_1087,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_1088,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_1089,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__trans_0,
[final] ).
cnf(i_0_1090,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__psubset__trans_0,
[final] ).
cnf(i_0_1091,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__subset__trans_0,
[final] ).
cnf(i_0_1092,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_1093,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
cls_less__eqI_1,
[final] ).
cnf(i_0_1094,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0,
[final] ).
cnf(i_0_1095,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_1096,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_1097,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__sup__iff_0,
[final] ).
cnf(i_0_1098,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__supE_0,
[final] ).
cnf(i_0_1099,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__sup__iff_1,
[final] ).
cnf(i_0_1100,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__supE_1,
[final] ).
cnf(i_0_1101,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_1102,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_1103,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Compl__disjoint2_0,
[final] ).
cnf(i_0_1104,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
cls_insertE_0,
[final] ).
cnf(i_0_1105,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_1106,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_1107,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_1108,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_1109,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__Diff__cancel2_0,
[final] ).
cnf(i_0_1110,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
cls_Diff__idemp_0,
[final] ).
cnf(i_0_1111,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__left__absorb_0,
[final] ).
cnf(i_0_1112,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__Diff__cancel_0,
[final] ).
cnf(i_0_1113,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insertI2_0,
[final] ).
cnf(i_0_1114,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
cls_subset__Compl__self__eq_1,
[final] ).
cnf(i_0_1115,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_finite__Diff2_0,
[final] ).
cnf(i_0_1116,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_1117,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_2,
[final] ).
cnf(i_0_1118,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
cls_UnCI_1,
[final] ).
cnf(i_0_1119,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
cls_UnCI_0,
[final] ).
cnf(i_0_1120,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),
cls_Diff__Compl_0,
[final] ).
cnf(i_0_1121,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))),
cls_Diff__eq_0,
[final] ).
cnf(i_0_1122,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_1123,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_1124,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Max__mono_0,
[final] ).
cnf(i_0_1125,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),c_Finite__Set_Olinorder__class_OMin(X3,X1),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Min__antimono_0,
[final] ).
cnf(i_0_1126,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
cls_ComplD_0,
[final] ).
cnf(i_0_1127,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_inf__eq__neg__sup_0,
[final] ).
cnf(i_0_1128,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
cls_insert__ident_0,
[final] ).
cnf(i_0_1129,axiom,
( hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
| ~ c_in(X2,c_Map_Odom(X1,X4,X3),X4) ),
cls_domIff_0,
[final] ).
cnf(i_0_1130,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
cls_weaken_0,
[final] ).
cnf(i_0_1131,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X4,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
cls_thin_0,
[final] ).
cnf(i_0_1132,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
cls_finite__Un_0,
[final] ).
cnf(i_0_1133,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2) ),
cls_finite__Un_1,
[final] ).
cnf(i_0_1134,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_1135,axiom,
hAPP(c_Hoare__Mirabelle_OMGT,X1) = c_Hoare__Mirabelle_Otriple_Otriple(c_fequal(tc_Com_Ostate),X1,c_Natural_Oevalc(X1),tc_Com_Ostate),
cls_MGT__def_0,
[final] ).
cnf(i_0_1136,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_1137,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_1138,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
cls_singleton__iff_1,
[final] ).
cnf(i_0_1139,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
cls_psubsetD_0,
[final] ).
cnf(i_0_1140,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_set__mp_0,
[final] ).
cnf(i_0_1141,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subsetD_0,
[final] ).
cnf(i_0_1142,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_set__rev__mp_0,
[final] ).
cnf(i_0_1143,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff_0,
[final] ).
cnf(i_0_1144,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
cls_subset__Compl__self__eq_0,
[final] ).
cnf(i_0_1145,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
cls_less__fun__def_1,
[final] ).
cnf(i_0_1146,axiom,
( c_Set_Oinsert(X2,c_Map_Odom(X1,X5,X4),X5) = c_Map_Odom(X1,X5,X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
cls_insert__dom_0,
[final] ).
cnf(i_0_1147,axiom,
( hAPP(hAPP(X1,X2),hAPP(hAPP(X1,X3),X4)) = hAPP(hAPP(X1,X3),hAPP(hAPP(X1,X2),X4))
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X5) ),
cls_ab__semigroup__mult_Omult__left__commute_0,
[final] ).
cnf(i_0_1148,axiom,
( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
cls_card__eq__UNIV__imp__eq__UNIV_0,
[final] ).
cnf(i_0_1149,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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_1150,axiom,
( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),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_1151,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__supI1_0,
[final] ).
cnf(i_0_1152,axiom,
( c_HOL_Oord__class_Oless(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__supI2_0,
[final] ).
cnf(i_0_1153,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__supI1_0,
[final] ).
cnf(i_0_1154,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI2_0,
[final] ).
cnf(i_0_1155,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__infI1_0,
[final] ).
cnf(i_0_1156,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_less__infI2_0,
[final] ).
cnf(i_0_1157,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_1158,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_1159,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_1160,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insertCI_0,
[final] ).
cnf(i_0_1161,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_1162,axiom,
c_Map_Omap__le(X1,X1,X2,X3),
cls_map__le__refl_0,
[final] ).
cnf(i_0_1163,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_1164,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_1165,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_in(X1,X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__insert__if_0,
[final] ).
cnf(i_0_1166,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_1167,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Compl__disjoint_0,
[final] ).
cnf(i_0_1168,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_1169,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__trans_0,
[final] ).
cnf(i_0_1170,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__le__less__trans_0,
[final] ).
cnf(i_0_1171,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__le__trans_0,
[final] ).
cnf(i_0_1172,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0,
[final] ).
cnf(i_0_1173,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I7_J_0,
[final] ).
cnf(i_0_1174,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I8_J_0,
[final] ).
cnf(i_0_1175,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_1176,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_1177,axiom,
( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_Min__singleton_0,
[final] ).
cnf(i_0_1178,axiom,
( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_Max__singleton_0,
[final] ).
cnf(i_0_1179,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__singleton_0,
[final] ).
cnf(i_0_1180,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__singleton_0,
[final] ).
cnf(i_0_1181,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_1182,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Diff__subset_0,
[final] ).
cnf(i_0_1183,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper1_0,
[final] ).
cnf(i_0_1184,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0,
[final] ).
cnf(i_0_1185,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__less__iff__less_0,
[final] ).
cnf(i_0_1186,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_1187,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_neg__inf__eq__sup_0,
[final] ).
cnf(i_0_1188,axiom,
( c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__inf_0,
[final] ).
cnf(i_0_1189,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3) ),
cls_cut_0,
[final] ).
cnf(i_0_1190,axiom,
c_Set_Ocontents(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
cls_contents__eq_0,
[final] ).
cnf(i_0_1191,axiom,
c_The(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1,
cls_Nitpick_OThe__psimp_0,
[final] ).
cnf(i_0_1192,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool)),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__compl_0,
[final] ).
cnf(i_0_1193,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I8_J_0,
[final] ).
cnf(i_0_1194,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__idem_0,
[final] ).
cnf(i_0_1195,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_1196,axiom,
( ~ class_Orderings_Oorder(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_atLeastatMost__empty__iff2_0,
[final] ).
cnf(i_0_1197,axiom,
( ~ class_Orderings_Oorder(X1)
| c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X3,X1) ),
cls_atLeastatMost__empty__iff_0,
[final] ).
cnf(i_0_1198,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__absorb2_0,
[final] ).
cnf(i_0_1199,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
cls_bex__empty_0,
[final] ).
cnf(i_0_1200,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__less__iff_1,
[final] ).
cnf(i_0_1201,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__less__iff_0,
[final] ).
cnf(i_0_1202,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_1203,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_1204,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_less__minus__iff_1,
[final] ).
cnf(i_0_1205,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_less__minus__iff_0,
[final] ).
cnf(i_0_1206,axiom,
( c_lessequals(X2,c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_lessequals(X2,hAPP(X3,X2),X1) ),
cls_gfp__upperbound_0,
[final] ).
cnf(i_0_1207,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_1208,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_1209,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_0,
[final] ).
cnf(i_0_1210,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_1211,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_1212,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
cls_finite__compl_1,
[final] ).
cnf(i_0_1213,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__Un_2,
[final] ).
cnf(i_0_1214,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__UnI_0,
[final] ).
cnf(i_0_1215,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__Diff2_1,
[final] ).
cnf(i_0_1216,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_1217,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__insert_0,
[final] ).
cnf(i_0_1218,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Un__empty_2,
[final] ).
cnf(i_0_1219,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Complete__Lattice_OInf__class_OInf(X3,X1))
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__insert_0,
[final] ).
cnf(i_0_1220,axiom,
( c_in(X2,c_Map_Odom(X1,X5,X4),X5)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
cls_domI_0,
[final] ).
cnf(i_0_1221,axiom,
( c_in(X3,c_Map_Oran(X1,X5,X4),X4)
| hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4) ),
cls_ranI_0,
[final] ).
cnf(i_0_1222,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_OrderedGroup_Oab__semigroup__mult(X4,X5) ),
cls_ab__semigroup__mult_Ononempty__iff_2,
[final] ).
cnf(i_0_1223,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
cls_finite__insert_0,
[final] ).
cnf(i_0_1224,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_not__psubset__empty_0,
[final] ).
cnf(i_0_1225,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != 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_1226,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_less__le__not__le_2,
[final] ).
cnf(i_0_1227,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_2,
[final] ).
cnf(i_0_1228,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff__psubset__eq_0,
[final] ).
cnf(i_0_1229,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
cls_subset__Un__eq_1,
[final] ).
cnf(i_0_1230,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
cls_Un__absorb2_0,
[final] ).
cnf(i_0_1231,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Un__absorb1_0,
[final] ).
cnf(i_0_1232,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_1233,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_1234,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_neg__less__iff__less_1,
[final] ).
cnf(i_0_1235,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_1236,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_0,
[final] ).
cnf(i_0_1237,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
cls_ball__empty_0,
[final] ).
cnf(i_0_1238,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__le_0,
[final] ).
cnf(i_0_1239,axiom,
( c_lessequals(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X2,X3,X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Max__ge_0,
[final] ).
cnf(i_0_1240,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_1241,axiom,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)) ),
cls_asm_0,
[final] ).
cnf(i_0_1242,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_0,
[final] ).
cnf(i_0_1243,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_1,
[final] ).
cnf(i_0_1244,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__Diff_0,
[final] ).
cnf(i_0_1245,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_1246,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_comm__monoid__add_Ononempty__iff_2,
[final] ).
cnf(i_0_1247,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_minus__diff__eq_0,
[final] ).
cnf(i_0_1248,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_1249,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_1250,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_1251,axiom,
( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
cls_ComplI_0,
[final] ).
cnf(i_0_1252,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_1253,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_1254,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_1255,axiom,
( c_in(X1,c_Map_Odom(X2,X3,X4),X3)
| hAPP(X2,X1) = c_Option_Ooption_ONone(X4) ),
cls_domIff_1,
[final] ).
cnf(i_0_1256,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_not__less__iff__gr__or__eq_1,
[final] ).
cnf(i_0_1257,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__antisym__conv2_1,
[final] ).
cnf(i_0_1258,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_linorder__not__le_1,
[final] ).
cnf(i_0_1259,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_linorder__not__less_1,
[final] ).
cnf(i_0_1260,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_H_0,
[final] ).
cnf(i_0_1261,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_0,
[final] ).
cnf(i_0_1262,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1,
[final] ).
cnf(i_0_1263,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_xt1_I9_J_0,
[final] ).
cnf(i_0_1264,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
cls_Compl__partition2_0,
[final] ).
cnf(i_0_1265,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
cls_Compl__partition_0,
[final] ).
cnf(i_0_1266,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_atLeastatMost__empty_0,
[final] ).
cnf(i_0_1267,axiom,
( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_in(X3,X2,X1) ),
cls_Inf__lower_0,
[final] ).
cnf(i_0_1268,axiom,
( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_in(X2,X3,X1) ),
cls_Sup__upper_0,
[final] ).
cnf(i_0_1269,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_1270,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0,
[final] ).
cnf(i_0_1271,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge1_0,
[final] ).
cnf(i_0_1272,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I4_J_0,
[final] ).
cnf(i_0_1273,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge2_0,
[final] ).
cnf(i_0_1274,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X2,X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastAtMost__singleton_0,
[final] ).
cnf(i_0_1275,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_emptyE_0,
[final] ).
cnf(i_0_1276,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_empty__iff_0,
[final] ).
cnf(i_0_1277,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_1278,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__absorb_0,
[final] ).
cnf(i_0_1279,axiom,
c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
cls_Compl__eq__Diff__UNIV_0,
[final] ).
cnf(i_0_1280,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_sup__inf__absorb_0,
[final] ).
cnf(i_0_1281,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_1282,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_1283,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_1284,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_1285,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertCI_1,
[final] ).
cnf(i_0_1286,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertI1_0,
[final] ).
cnf(i_0_1287,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1,
[final] ).
cnf(i_0_1288,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_1289,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_1290,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Un__UNIV__left_0,
[final] ).
cnf(i_0_1291,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0,
[final] ).
cnf(i_0_1292,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
cls_Un__UNIV__right_0,
[final] ).
cnf(i_0_1293,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__UNIV_0,
[final] ).
cnf(i_0_1294,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0,
[final] ).
cnf(i_0_1295,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv1_0,
[final] ).
cnf(i_0_1296,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv2_0,
[final] ).
cnf(i_0_1297,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I11_J_0,
[final] ).
cnf(i_0_1298,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I12_J_0,
[final] ).
cnf(i_0_1299,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__less_0,
[final] ).
cnf(i_0_1300,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__less__le_2,
[final] ).
cnf(i_0_1301,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__neq__trans_0,
[final] ).
cnf(i_0_1302,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__neq__le__trans_0,
[final] ).
cnf(i_0_1303,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
cls_le__iff__sup_1,
[final] ).
cnf(i_0_1304,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_sup__absorb1_0,
[final] ).
cnf(i_0_1305,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__sup_0,
[final] ).
cnf(i_0_1306,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__less__imp__le_0,
[final] ).
cnf(i_0_1307,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__le__less_1,
[final] ).
cnf(i_0_1308,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_1309,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_1310,axiom,
c_Option_Oset(c_Option_Ooption_OSome(X1,X2),X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_Option_Oset_Osimps_I2_J_0,
[final] ).
cnf(i_0_1311,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_1312,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_1313,axiom,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__insert_1,
[final] ).
cnf(i_0_1314,axiom,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1)
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastatMost__empty__iff2_1,
[final] ).
cnf(i_0_1315,axiom,
( c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_atLeastatMost__empty__iff_1,
[final] ).
cnf(i_0_1316,axiom,
( X1 = c_Option_Ooption_OSome(X2,X3)
| ~ c_in(X2,c_Option_Oset(X1,X3),X3) ),
cls_elem__set_0,
[final] ).
cnf(i_0_1317,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_1318,axiom,
( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3) ),
cls_hoare__sound_0,
[final] ).
cnf(i_0_1319,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_HOL_Ouminus__class_Ouminus(X3,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_diff__eq_0,
[final] ).
cnf(i_0_1320,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__in_0,
[final] ).
cnf(i_0_1321,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Max__in_0,
[final] ).
cnf(i_0_1322,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_1323,axiom,
c_in(X1,c_Option_Oset(c_Option_Ooption_OSome(X1,X2),X2),X2),
cls_elem__set_1,
[final] ).
cnf(i_0_1324,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
cls_empty_0,
[final] ).
cnf(i_0_1325,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Un__empty__left_0,
[final] ).
cnf(i_0_1326,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Un__empty__right_0,
[final] ).
cnf(i_0_1327,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Diff__empty_0,
[final] ).
cnf(i_0_1328,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_1329,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_1330,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
cls_empty__not__insert_0,
[final] ).
cnf(i_0_1331,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0,
[final] ).
cnf(i_0_1332,plain,
hAPP(c_fequal(X1),X2) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(rw,[status(thm)],[i_0_735,c_0_730]),
[final] ).
cnf(i_0_1333,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
cls_psubset__eq_1,
[final] ).
cnf(i_0_1334,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_1335,negated_conjecture,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
cls_conjecture_2,
[final] ).
cnf(i_0_1336,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0,
[final] ).
cnf(i_0_1337,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv3_0,
[final] ).
cnf(i_0_1338,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__less__linear_0,
[final] ).
cnf(i_0_1339,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__neqE_0,
[final] ).
cnf(i_0_1340,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__less__iff__gr__or__eq_0,
[final] ).
cnf(i_0_1341,axiom,
( X1 = X3
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)) ),
cls_Compl__eq__Compl__iff_0,
[final] ).
cnf(i_0_1342,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv1_1,
[final] ).
cnf(i_0_1343,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__less_0,
[final] ).
cnf(i_0_1344,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__le_0,
[final] ).
cnf(i_0_1345,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0,
[final] ).
cnf(i_0_1346,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1347,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1348,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rw,[status(thm)],[i_0_736,c_0_730]),
[final] ).
cnf(i_0_1349,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I5_J_0,
[final] ).
cnf(i_0_1350,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__commute_0,
[final] ).
cnf(i_0_1351,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
cls_Compl__empty__eq_0,
[final] ).
cnf(i_0_1352,axiom,
c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Compl__UNIV__eq_0,
[final] ).
cnf(i_0_1353,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_1354,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_1355,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_1356,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
cls_finite__dom__body_0,
[final] ).
cnf(i_0_1357,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_double__complement_0,
[final] ).
cnf(i_0_1358,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
cls_UNIV__I_0,
[final] ).
cnf(i_0_1359,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_1360,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq1_0,
[final] ).
cnf(i_0_1361,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq2_0,
[final] ).
cnf(i_0_1362,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__cancel_0,
[final] ).
cnf(i_0_1363,axiom,
( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X3),X2)
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X4) ),
cls_ab__semigroup__mult_Omult__commute_0,
[final] ).
cnf(i_0_1364,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1365,plain,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
inference(rw,[status(thm)],[i_0_737,c_0_730]),
[final] ).
cnf(i_0_1366,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_1367,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_1368,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__neq__iff_1,
[final] ).
cnf(i_0_1369,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__irrefl_0,
[final] ).
cnf(i_0_1370,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__le_1,
[final] ).
cnf(i_0_1371,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[i_0_738,c_0_730]),
[final] ).
cnf(i_0_1372,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rw,[status(thm)],[i_0_739,c_0_730]),
[final] ).
cnf(i_0_1373,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__sup__top_0,
[final] ).
cnf(i_0_1374,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_sup__compl__top_0,
[final] ).
cnf(i_0_1375,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_1376,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_1377,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1378,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1379,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1380,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__empty_0,
[final] ).
cnf(i_0_1381,axiom,
( c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Inf__UNIV_0,
[final] ).
cnf(i_0_1382,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_1383,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_1384,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_1385,axiom,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X1),tc_Com_Ocom)
| ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X1)) ),
cls_WTs__elim__cases_I7_J_0,
[final] ).
cnf(i_0_1386,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_1387,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_1388,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__left_0,
[final] ).
cnf(i_0_1389,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__right_0,
[final] ).
cnf(i_0_1390,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
cls_set__empty__eq_0,
[final] ).
cnf(i_0_1391,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_1392,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__left_0,
[final] ).
cnf(i_0_1393,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__right_0,
[final] ).
cnf(i_0_1394,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_1395,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_1396,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_1397,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_finite_OemptyI_0,
[final] ).
cnf(i_0_1398,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1399,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1400,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1401,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_1402,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_1403,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_1404,axiom,
c_The(hAPP(c_fequal(X1),X2),X1) = X2,
cls_the__sym__eq__trivial_0,
[final] ).
cnf(i_0_1405,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_1406,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_1407,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_1408,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_1409,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_1410,axiom,
c_Option_Oset(c_Option_Ooption_ONone(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_set__empty__eq_1,
[final] ).
cnf(i_0_1411,axiom,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
cls_the_Osimps_0,
[final] ).
cnf(i_0_1412,axiom,
( X1 = X3
| c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_OSome(X3,X2) ),
cls_option_Oinject_0,
[final] ).
cnf(i_0_1413,axiom,
( c_Com_OWT(X2)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| ~ c_Com_OWT__bodies ),
cls_WT__bodiesD_0,
[final] ).
cnf(i_0_1414,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_1415,axiom,
( X1 = X2
| hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
cls_com_Osimps_I6_J_0,
[final] ).
cnf(i_0_1416,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_1417,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1418,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_1419,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1420,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1421,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1422,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1423,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_1424,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1425,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1426,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1427,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
| ~ class_Lattices_Oboolean__algebra(X2) ),
clsarity_fun__Lattices_Oboolean__algebra,
[final] ).
cnf(i_0_1428,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_1429,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_1430,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
cls_option_Osimps_I3_J_0,
[final] ).
cnf(i_0_1431,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
cls_not__None__eq_1,
[final] ).
cnf(i_0_1432,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
cls_option_Osimps_I2_J_0,
[final] ).
cnf(i_0_1433,axiom,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
cls_not__Some__eq_1,
[final] ).
cnf(i_0_1434,negated_conjecture,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
cls_conjecture_6,
[final] ).
cnf(i_0_1435,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
cls_conjecture_4,
[final] ).
cnf(i_0_1436,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite_0,
[final] ).
cnf(i_0_1437,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X1))
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_1438,negated_conjecture,
c_Finite__Set_Ofinite(v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
cls_conjecture_1,
[final] ).
cnf(i_0_1439,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
| X1 = X2 ),
cls_state__not__singleton__def_1,
[final] ).
cnf(i_0_1440,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_1441,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_1442,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1443,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1444,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_1445,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_1446,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1447,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1448,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
clsarity_nat__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1449,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1450,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1451,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1452,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1453,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1454,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1455,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1456,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1457,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1458,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1459,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1460,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1461,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra,
[final] ).
cnf(i_0_1462,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_0,
[final] ).
cnf(i_0_1463,axiom,
X1 = X1 ).
cnf(i_0_1464,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1465,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1466,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1467,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1468,axiom,
( X1 != X2
| c_Map_Odom(X1,X3,X4) = c_Map_Odom(X2,X3,X4) ) ).
cnf(i_0_1469,axiom,
( X1 != X2
| c_Map_Odom(X3,X1,X4) = c_Map_Odom(X3,X2,X4) ) ).
cnf(i_0_1470,axiom,
( X1 != X2
| c_Map_Odom(X3,X4,X1) = c_Map_Odom(X3,X4,X2) ) ).
cnf(i_0_1471,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1472,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1473,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1474,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1475,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1476,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5) ) ).
cnf(i_0_1477,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X4,X5) ) ).
cnf(i_0_1478,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X2,X5) ) ).
cnf(i_0_1479,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X2) ) ).
cnf(i_0_1480,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1481,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1482,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1483,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1484,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1485,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1486,axiom,
( X1 != X2
| c_Map_Omap__add(X1,X3,X4,X5) = c_Map_Omap__add(X2,X3,X4,X5) ) ).
cnf(i_0_1487,axiom,
( X1 != X2
| c_Map_Omap__add(X3,X1,X4,X5) = c_Map_Omap__add(X3,X2,X4,X5) ) ).
cnf(i_0_1488,axiom,
( X1 != X2
| c_Map_Omap__add(X3,X4,X1,X5) = c_Map_Omap__add(X3,X4,X2,X5) ) ).
cnf(i_0_1489,axiom,
( X1 != X2
| c_Map_Omap__add(X3,X4,X5,X1) = c_Map_Omap__add(X3,X4,X5,X2) ) ).
cnf(i_0_1490,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1491,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1492,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_1493,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_1494,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1495,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1496,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1497,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1498,axiom,
( X1 != X2
| c_The(X1,X3) = c_The(X2,X3) ) ).
cnf(i_0_1499,axiom,
( X1 != X2
| c_The(X3,X1) = c_The(X3,X2) ) ).
cnf(i_0_1500,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1501,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,X5) ) ).
cnf(i_0_1502,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,X5) ) ).
cnf(i_0_1503,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X2,X5) ) ).
cnf(i_0_1504,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X2) ) ).
cnf(i_0_1505,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X1,X3) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X2,X3) ) ).
cnf(i_0_1506,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X1) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X2) ) ).
cnf(i_0_1507,axiom,
( X1 != X2
| c_Option_Ooption_OSome(X1,X3) = c_Option_Ooption_OSome(X2,X3) ) ).
cnf(i_0_1508,axiom,
( X1 != X2
| c_Option_Ooption_OSome(X3,X1) = c_Option_Ooption_OSome(X3,X2) ) ).
cnf(i_0_1509,axiom,
( X1 != X2
| c_Option_Ooption_ONone(X1) = c_Option_Ooption_ONone(X2) ) ).
cnf(i_0_1510,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X4) ) ).
cnf(i_0_1511,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X1,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X2,X4) ) ).
cnf(i_0_1512,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X2) ) ).
cnf(i_0_1513,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1514,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1515,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1516,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1517,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X1,X3) = c_Finite__Set_Olinorder__class_OMax(X2,X3) ) ).
cnf(i_0_1518,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X3,X1) = c_Finite__Set_Olinorder__class_OMax(X3,X2) ) ).
cnf(i_0_1519,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X1,X3) = c_Finite__Set_Olinorder__class_OMin(X2,X3) ) ).
cnf(i_0_1520,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X3,X1) = c_Finite__Set_Olinorder__class_OMin(X3,X2) ) ).
cnf(i_0_1521,axiom,
( X1 != X2
| c_Set_Ocontents(X1,X3) = c_Set_Ocontents(X2,X3) ) ).
cnf(i_0_1522,axiom,
( X1 != X2
| c_Set_Ocontents(X3,X1) = c_Set_Ocontents(X3,X2) ) ).
cnf(i_0_1523,axiom,
( X1 != X2
| c_Option_Oset(X1,X3) = c_Option_Oset(X2,X3) ) ).
cnf(i_0_1524,axiom,
( X1 != X2
| c_Option_Oset(X3,X1) = c_Option_Oset(X3,X2) ) ).
cnf(i_0_1525,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1526,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1527,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1528,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1529,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1530,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1531,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1532,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1533,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_1534,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_1535,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_1536,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_1537,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_1538,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_1539,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_1540,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_1541,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_1542,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X3)
| c_OrderedGroup_Oab__semigroup__mult(X2,X3) ) ).
cnf(i_0_1543,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X3,X1)
| c_OrderedGroup_Oab__semigroup__mult(X3,X2) ) ).
cnf(i_0_1544,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1545,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1546,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1547,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1548,axiom,
( X1 != X2
| ~ c_Com_OWT(X1)
| c_Com_OWT(X2) ) ).
cnf(i_0_1549,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1550,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1551,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1552,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1553,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1554,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1555,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1556,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1557,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1558,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1559,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_1560,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1561,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1562,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1563,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1564,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1565,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1566,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1567,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1568,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1569,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1570,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1571,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X3,X4) ) ).
cnf(i_0_1572,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X4)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X4) ) ).
cnf(i_0_1573,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X2) ) ).
cnf(i_0_1574,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1575,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1576,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1577,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1578,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1579,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1580,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1581,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1582,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1583,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).
cnf(i_0_1584,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).
cnf(i_0_1585,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).
cnf(i_0_1586,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X1,X3,X4,X5)
| c_Map_Omap__le(X2,X3,X4,X5) ) ).
cnf(i_0_1587,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X3,X1,X4,X5)
| c_Map_Omap__le(X3,X2,X4,X5) ) ).
cnf(i_0_1588,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X3,X4,X1,X5)
| c_Map_Omap__le(X3,X4,X2,X5) ) ).
cnf(i_0_1589,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X3,X4,X5,X1)
| c_Map_Omap__le(X3,X4,X5,X2) ) ).
cnf(i_0_1463_001,axiom,
X1 = X1 ).
cnf(i_0_1464_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1465_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1466_004,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1467_005,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1468_006,axiom,
( X1 != X2
| c_Map_Odom(X1,X3,X4) = c_Map_Odom(X2,X3,X4) ) ).
cnf(i_0_1469_007,axiom,
( X1 != X2
| c_Map_Odom(X3,X1,X4) = c_Map_Odom(X3,X2,X4) ) ).
cnf(i_0_1470_008,axiom,
( X1 != X2
| c_Map_Odom(X3,X4,X1) = c_Map_Odom(X3,X4,X2) ) ).
cnf(i_0_1471_009,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1472_010,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1473_011,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1474_012,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1475_013,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1476_014,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5) ) ).
cnf(i_0_1477_015,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X4,X5) ) ).
cnf(i_0_1478_016,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X2,X5) ) ).
cnf(i_0_1479_017,axiom,
( X1 != X2
| c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X2) ) ).
cnf(i_0_1480_018,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1481_019,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1482_020,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1483_021,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1484_022,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1485_023,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1486_024,axiom,
( X1 != X2
| c_Map_Omap__add(X1,X3,X4,X5) = c_Map_Omap__add(X2,X3,X4,X5) ) ).
cnf(i_0_1487_025,axiom,
( X1 != X2
| c_Map_Omap__add(X3,X1,X4,X5) = c_Map_Omap__add(X3,X2,X4,X5) ) ).
cnf(i_0_1488_026,axiom,
( X1 != X2
| c_Map_Omap__add(X3,X4,X1,X5) = c_Map_Omap__add(X3,X4,X2,X5) ) ).
cnf(i_0_1489_027,axiom,
( X1 != X2
| c_Map_Omap__add(X3,X4,X5,X1) = c_Map_Omap__add(X3,X4,X5,X2) ) ).
cnf(i_0_1490_028,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1491_029,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1492_030,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_1493_031,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_1494_032,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1495_033,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1496_034,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1497_035,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1498_036,axiom,
( X1 != X2
| c_The(X1,X3) = c_The(X2,X3) ) ).
cnf(i_0_1499_037,axiom,
( X1 != X2
| c_The(X3,X1) = c_The(X3,X2) ) ).
cnf(i_0_1500_038,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1501_039,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X3,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X4,X5) ) ).
cnf(i_0_1502_040,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X1,X4,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X2,X4,X5) ) ).
cnf(i_0_1503_041,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X2,X5) ) ).
cnf(i_0_1504_042,axiom,
( X1 != X2
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X1) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,X2) ) ).
cnf(i_0_1505_043,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X1,X3) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X2,X3) ) ).
cnf(i_0_1506_044,axiom,
( X1 != X2
| c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X1) = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(X3,X2) ) ).
cnf(i_0_1507_045,axiom,
( X1 != X2
| c_Option_Ooption_OSome(X1,X3) = c_Option_Ooption_OSome(X2,X3) ) ).
cnf(i_0_1508_046,axiom,
( X1 != X2
| c_Option_Ooption_OSome(X3,X1) = c_Option_Ooption_OSome(X3,X2) ) ).
cnf(i_0_1509_047,axiom,
( X1 != X2
| c_Option_Ooption_ONone(X1) = c_Option_Ooption_ONone(X2) ) ).
cnf(i_0_1510_048,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X1,X3,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X2,X3,X4) ) ).
cnf(i_0_1511_049,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X1,X4) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X2,X4) ) ).
cnf(i_0_1512_050,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X1) = c_SetInterval_Oord__class_OatLeastAtMost(X3,X4,X2) ) ).
cnf(i_0_1513_051,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1514_052,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1515_053,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1516_054,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1517_055,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X1,X3) = c_Finite__Set_Olinorder__class_OMax(X2,X3) ) ).
cnf(i_0_1518_056,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X3,X1) = c_Finite__Set_Olinorder__class_OMax(X3,X2) ) ).
cnf(i_0_1519_057,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X1,X3) = c_Finite__Set_Olinorder__class_OMin(X2,X3) ) ).
cnf(i_0_1520_058,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X3,X1) = c_Finite__Set_Olinorder__class_OMin(X3,X2) ) ).
cnf(i_0_1521_059,axiom,
( X1 != X2
| c_Set_Ocontents(X1,X3) = c_Set_Ocontents(X2,X3) ) ).
cnf(i_0_1522_060,axiom,
( X1 != X2
| c_Set_Ocontents(X3,X1) = c_Set_Ocontents(X3,X2) ) ).
cnf(i_0_1523_061,axiom,
( X1 != X2
| c_Option_Oset(X1,X3) = c_Option_Oset(X2,X3) ) ).
cnf(i_0_1524_062,axiom,
( X1 != X2
| c_Option_Oset(X3,X1) = c_Option_Oset(X3,X2) ) ).
cnf(i_0_1525_063,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1526_064,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1527_065,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1528_066,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1529_067,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1530_068,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1531_069,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1532_070,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1533_071,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_1534_072,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_1535_073,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_1536_074,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_1537_075,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_1538_076,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_1539_077,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_1540_078,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_1541_079,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_1542_080,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X1,X3)
| c_OrderedGroup_Oab__semigroup__mult(X2,X3) ) ).
cnf(i_0_1543_081,axiom,
( X1 != X2
| ~ c_OrderedGroup_Oab__semigroup__mult(X3,X1)
| c_OrderedGroup_Oab__semigroup__mult(X3,X2) ) ).
cnf(i_0_1544_082,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1545_083,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1546_084,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1547_085,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1548_086,axiom,
( X1 != X2
| ~ c_Com_OWT(X1)
| c_Com_OWT(X2) ) ).
cnf(i_0_1549_087,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1550_088,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1551_089,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1552_090,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1553_091,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1554_092,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1555_093,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1556_094,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1557_095,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1558_096,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1559_097,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_1560_098,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1561_099,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1562_100,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1563_101,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1564_102,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1565_103,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1566_104,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1567_105,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1568_106,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1569_107,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1570_108,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1571_109,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X3,X4) ) ).
cnf(i_0_1572_110,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X4)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X4) ) ).
cnf(i_0_1573_111,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X4,X2) ) ).
cnf(i_0_1574_112,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1575_113,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1576_114,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1577_115,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1578_116,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1579_117,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1580_118,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1581_119,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1582_120,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1583_121,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).
cnf(i_0_1584_122,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).
cnf(i_0_1585_123,axiom,
( X1 != X2
| ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
| c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).
cnf(i_0_1586_124,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X1,X3,X4,X5)
| c_Map_Omap__le(X2,X3,X4,X5) ) ).
cnf(i_0_1587_125,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X3,X1,X4,X5)
| c_Map_Omap__le(X3,X2,X4,X5) ) ).
cnf(i_0_1588_126,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X3,X4,X1,X5)
| c_Map_Omap__le(X3,X4,X2,X5) ) ).
cnf(i_0_1589_127,axiom,
( X1 != X2
| ~ c_Map_Omap__le(X3,X4,X5,X1)
| c_Map_Omap__le(X3,X4,X5,X2) ) ).
cnf(i_0_1590,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X1,X1,X2,X3),X2,X3),
inference(equality_inference,[],[813]) ).
cnf(i_0_1591,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[824]) ).
cnf(i_0_1592,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[834]) ).
cnf(i_0_1593,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[889]) ).
cnf(i_0_1594,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[890]) ).
cnf(i_0_1595,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[891]) ).
cnf(i_0_1596,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[892]) ).
cnf(i_0_1597,plain,
X1 = X1,
inference(equality_inference,[],[907]) ).
cnf(i_0_1598,plain,
X1 = X1,
inference(equality_inference,[],[908]) ).
cnf(i_0_1599,plain,
X1 = X1,
inference(equality_inference,[],[909]) ).
cnf(i_0_1600,plain,
( ~ c_in(X1,X2,X3)
| X1 = X1
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
inference(equality_inference,[],[957]) ).
cnf(i_0_1601,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[994]) ).
cnf(i_0_1602,plain,
X1 = X1,
inference(equality_inference,[],[1072]) ).
cnf(i_0_1603,plain,
( X1 = X1
| c_in(X2,X1,X3)
| c_in(X2,X1,X3) ),
inference(equality_inference,[],[1128]) ).
cnf(i_0_1604,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
inference(equality_inference,[],[1148]) ).
cnf(i_0_1605,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1253]) ).
cnf(i_0_1606,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1254]) ).
cnf(i_0_1607,plain,
X1 = X1,
inference(equality_inference,[],[1341]) ).
cnf(i_0_1608,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1371]) ).
cnf(i_0_1609,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(equality_inference,[],[1372]) ).
cnf(i_0_1610,plain,
( X1 = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(equality_inference,[],[1402]) ).
cnf(i_0_1611,plain,
( X1 = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(equality_inference,[],[1403]) ).
cnf(i_0_1612,plain,
X1 = X1,
inference(equality_inference,[],[1412]) ).
cnf(i_0_1613,plain,
X1 = X1,
inference(equality_inference,[],[1415]) ).
cnf(i_0_1614,plain,
( ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(scs_inference,[],[i_0_1462,i_0_1036]) ).
cnf(i_0_1615,plain,
( c_Com_OWT(X1)
| hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(scs_inference,[],[i_0_1462,i_0_1413]) ).
cnf(i_0_1616,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(scs_inference,[],[i_0_1431,i_0_1439]) ).
cnf(i_0_1617,plain,
c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_Fa,c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_774]) ).
cnf(i_0_1618,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_774]) ).
cnf(i_0_1619,plain,
c_lessequals(c_Set_Oimage(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X2),c_Set_Oimage(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_774,i_0_841]) ).
cnf(i_0_1620,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_841]) ).
cnf(i_0_1621,plain,
c_lessequals(c_Set_Ovimage(X1,v_Fa,X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Ovimage(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_774,i_0_841,i_0_842]) ).
cnf(i_0_1622,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_842]) ).
cnf(i_0_1623,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_1182,i_0_774,i_0_841,i_0_842,i_0_944]) ).
cnf(i_0_1624,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1625,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_944]) ).
cnf(i_0_1626,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945]) ).
cnf(i_0_1627,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1628,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_945]) ).
cnf(i_0_1629,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_1245,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020]) ).
cnf(i_0_1630,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1631,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1020]) ).
cnf(i_0_1632,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_1245,i_0_1630,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021]) ).
cnf(i_0_1633,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1634,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1021]) ).
cnf(i_0_1635,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1245,i_0_1630,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049]) ).
cnf(i_0_1636,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1049]) ).
cnf(i_0_1637,plain,
c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060]) ).
cnf(i_0_1638,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1639,plain,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1060]) ).
cnf(i_0_1640,plain,
c_in(v_pna,c_Map_Odom(c_Com_Obody,X1,tc_Com_Ocom),X1),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220]) ).
cnf(i_0_1641,plain,
( hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
| c_in(X2,c_Map_Odom(X1,X5,X4),X5) ),
inference(rename_variables,[],[i_0_1220]) ).
cnf(i_0_1642,plain,
c_in(v_ya,c_Map_Oran(c_Com_Obody,X1,tc_Com_Ocom),tc_Com_Ocom),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221]) ).
cnf(i_0_1643,plain,
( hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
| c_in(X3,c_Map_Oran(X1,X5,X4),X4) ),
inference(rename_variables,[],[i_0_1221]) ).
cnf(i_0_1644,plain,
c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229]) ).
cnf(i_0_1645,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1229]) ).
cnf(i_0_1646,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236]) ).
cnf(i_0_1647,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1648,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_Com_Ostate),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241]) ).
cnf(i_0_1649,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1241]) ).
cnf(i_0_1650,plain,
c_Hoare__Mirabelle_Ohoare__valids(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_Com_Ostate),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318]) ).
cnf(i_0_1651,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1318]) ).
cnf(i_0_1652,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_1166,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365]) ).
cnf(i_0_1653,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1365]) ).
cnf(i_0_1654,plain,
c_Com_OWT(v_ya),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_1166,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615]) ).
cnf(i_0_1655,plain,
( hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
inference(rename_variables,[],[i_0_1615]) ).
cnf(i_0_1656,plain,
c_Option_Ooption_OSome(v_ya,tc_Com_Ocom) = hAPP(c_Com_Obody,v_pna),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_919,i_0_1166,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464]) ).
cnf(i_0_1657,plain,
c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_931,i_0_919,i_0_1166,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755]) ).
cnf(i_0_1658,plain,
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_931]) ).
cnf(i_0_1659,plain,
( ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X3,X1,X4,X5)),X3,X5)
| c_lessequals(c_Set_Oimage(X1,X2,X4,X5),X3,tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_755]) ).
cnf(i_0_1660,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_931,i_0_919,i_0_1166,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805]) ).
cnf(i_0_1661,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1216]) ).
cnf(i_0_1662,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_805]) ).
cnf(i_0_1663,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X1,c_Map_Omap__add(X1,X1,X2,X3),X2,X3),X2,X3),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1166,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813]) ).
cnf(i_0_1664,plain,
c_Map_Omap__add(X1,c_Map_Omap__add(X2,X3,X4,X5),X4,X5) = c_Map_Omap__add(c_Map_Omap__add(X1,X2,X4,X5),X3,X4,X5),
inference(rename_variables,[],[i_0_815]) ).
cnf(i_0_1665,plain,
( c_Map_Omap__add(X1,X2,X3,X4) != c_Map_Omap__add(X2,X1,X3,X4)
| c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4) ),
inference(rename_variables,[],[i_0_813]) ).
cnf(i_0_1666,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,c_Map_Omap__add(X3,X1,X4,X5),X4,X5),X4,X5),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1166,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823]) ).
cnf(i_0_1667,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_917]) ).
cnf(i_0_1668,plain,
( ~ c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
| c_Map_Omap__le(X2,X5,X3,X4) ),
inference(rename_variables,[],[i_0_823]) ).
cnf(i_0_1669,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1166,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846]) ).
cnf(i_0_1670,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1166]) ).
cnf(i_0_1671,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_846]) ).
cnf(i_0_1672,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874]) ).
cnf(i_0_1673,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1166]) ).
cnf(i_0_1674,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3))
| X3 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) ),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_1675,plain,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X4),X5),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935]) ).
cnf(i_0_1676,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1677,plain,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(rename_variables,[],[i_0_935]) ).
cnf(i_0_1678,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033]) ).
cnf(i_0_1679,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1033]) ).
cnf(i_0_1680,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_931,i_0_919,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059]) ).
cnf(i_0_1681,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2 ),
inference(rename_variables,[],[i_0_1059]) ).
cnf(i_0_1682,plain,
~ c_in(c_Option_Ooption_OSome(c_Option_Ooption_ONone(X1),X2),c_Map_Odom(c_Option_Othe(X2),X3,X1),X3),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129]) ).
cnf(i_0_1683,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1684,plain,
( hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
| ~ c_in(X2,c_Map_Odom(X1,X4,X3),X4) ),
inference(rename_variables,[],[i_0_1129]) ).
cnf(i_0_1685,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144]) ).
cnf(i_0_1686,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1144]) ).
cnf(i_0_1687,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181]) ).
cnf(i_0_1688,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_1181]) ).
cnf(i_0_1689,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242]) ).
cnf(i_0_1690,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = X4,
inference(rename_variables,[],[i_0_919]) ).
cnf(i_0_1691,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1242]) ).
cnf(i_0_1692,plain,
~ c_in(X1,c_Option_Oset(c_Option_Ooption_ONone(X2),X2),X2),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316]) ).
cnf(i_0_1693,plain,
( X1 = c_Option_Ooption_OSome(X2,X3)
| ~ c_in(X2,c_Option_Oset(X1,X3),X3) ),
inference(rename_variables,[],[i_0_1316]) ).
cnf(i_0_1694,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348]) ).
cnf(i_0_1695,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1348]) ).
cnf(i_0_1696,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_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371]) ).
cnf(i_0_1697,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1371]) ).
cnf(i_0_1698,plain,
~ hBOOL(hAPP(hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),X3)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372]) ).
cnf(i_0_1699,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1700,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1372]) ).
cnf(i_0_1701,plain,
c_lessequals(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_1450,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399]) ).
cnf(i_0_1702,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1399]) ).
cnf(i_0_1703,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400]) ).
cnf(i_0_1704,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1705,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436]) ).
cnf(i_0_1706,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_1436]) ).
cnf(i_0_1707,plain,
c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_Fa,c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1245,i_0_1630,i_0_1633,i_0_1433,i_0_1182,i_0_1624,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772]) ).
cnf(i_0_1708,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_772]) ).
cnf(i_0_1709,plain,
c_in(hAPP(X1,X2),c_Set_Oinsert(X3,c_Set_Oimage(X1,c_Set_Oinsert(X2,X4,X5),X5,X6),X6),X6),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1433,i_0_1182,i_0_1624,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858]) ).
cnf(i_0_1710,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1711,plain,
( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(hAPP(X1,X6),X5,X4)
| ~ c_in(X6,X2,X3) ),
inference(rename_variables,[],[i_0_858]) ).
cnf(i_0_1712,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X2),X2),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1379,i_0_1433,i_0_1182,i_0_1624,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875]) ).
cnf(i_0_1713,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1379]) ).
cnf(i_0_1714,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_875]) ).
cnf(i_0_1715,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914]) ).
cnf(i_0_1716,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1717,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_914]) ).
cnf(i_0_1718,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040]) ).
cnf(i_0_1719,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1328]) ).
cnf(i_0_1720,plain,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1721,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090]) ).
cnf(i_0_1722,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1333]) ).
cnf(i_0_1723,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1090]) ).
cnf(i_0_1724,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098]) ).
cnf(i_0_1725,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_1726,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100]) ).
cnf(i_0_1727,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1100]) ).
cnf(i_0_1728,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106]) ).
cnf(i_0_1729,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_1106]) ).
cnf(i_0_1730,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108]) ).
cnf(i_0_1731,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_1108]) ).
cnf(i_0_1732,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(v_Fa,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130]) ).
cnf(i_0_1733,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1734,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1130]) ).
cnf(i_0_1735,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_Com_Ostate),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131]) ).
cnf(i_0_1736,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1737,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1131]) ).
cnf(i_0_1738,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_HOL_Ominus__class_Ominus(v_Fa,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1328,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143]) ).
cnf(i_0_1739,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1740,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1143]) ).
cnf(i_0_1741,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1328,i_0_1443,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145]) ).
cnf(i_0_1742,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1743,plain,
c_Set_Oinsert(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164]) ).
cnf(i_0_1744,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1745,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1329]) ).
cnf(i_0_1746,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_1164]) ).
cnf(i_0_1747,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209]) ).
cnf(i_0_1748,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1209]) ).
cnf(i_0_1749,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233]) ).
cnf(i_0_1750,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1166]) ).
cnf(i_0_1751,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_1752,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259]) ).
cnf(i_0_1753,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_1754,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(v_Fa,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289]) ).
cnf(i_0_1755,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1756,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1757,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_pna),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465]) ).
cnf(i_0_1758,plain,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
inference(rename_variables,[],[i_0_1433]) ).
cnf(i_0_1759,plain,
~ c_HOL_Oord__class_Oless(hAPP(c_Com_Obody,v_pna),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544]) ).
cnf(i_0_1760,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1333]) ).
cnf(i_0_1761,plain,
~ c_HOL_Oord__class_Oless(c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),hAPP(c_Com_Obody,v_pna),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545]) ).
cnf(i_0_1762,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1333]) ).
cnf(i_0_1763,plain,
~ c_HOL_Oord__class_Oless(X1,X1,hAPP(c_Option_Othe(X2),c_Option_Ooption_OSome(tc_fun(X3,tc_bool),X2))),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546]) ).
cnf(i_0_1764,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1765,plain,
class_Lattices_Olattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547]) ).
cnf(i_0_1766,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549]) ).
cnf(i_0_1767,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551]) ).
cnf(i_0_1768,plain,
class_Lattices_Odistrib__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552]) ).
cnf(i_0_1769,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553]) ).
cnf(i_0_1770,plain,
class_Lattices_Oupper__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554]) ).
cnf(i_0_1771,plain,
class_HOL_Oord(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557]) ).
cnf(i_0_1772,plain,
class_Orderings_Olinorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558]) ).
cnf(i_0_1773,plain,
class_Orderings_Opreorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560]) ).
cnf(i_0_1774,plain,
~ c_in(hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,v_y),X1)),v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564]) ).
cnf(i_0_1775,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1776,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(v_Fa,X1)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565]) ).
cnf(i_0_1777,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1778,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),v_Fa,hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X1))),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566]) ).
cnf(i_0_1779,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1780,plain,
class_Orderings_Obot(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568]) ).
cnf(i_0_1781,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576]) ).
cnf(i_0_1782,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_1783,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577]) ).
cnf(i_0_1784,plain,
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),
inference(rename_variables,[],[i_0_773]) ).
cnf(i_0_1785,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool),X1))),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578]) ).
cnf(i_0_1786,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1787,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_Option_Othe(X3),X4,X5,X6,X7,X8,X9),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745]) ).
cnf(i_0_1788,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1789,plain,
( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
| ~ c_Complete__Lattice_Ocomplete__lattice(X5,X3,X1,X6,X7,X8,X9,X10,X11)
| ~ c_in(X2,X4,X11) ),
inference(rename_variables,[],[i_0_745]) ).
cnf(i_0_1790,plain,
c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832]) ).
cnf(i_0_1791,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1792,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_1793,plain,
c_lessequals(hAPP(X1,X2),c_Set_Oinsert(X3,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X2,X4,X5),X1,X5,tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845]) ).
cnf(i_0_1794,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1795,plain,
( ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X1,X3) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1796,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014]) ).
cnf(i_0_1797,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1333]) ).
cnf(i_0_1798,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(rename_variables,[],[i_0_1014]) ).
cnf(i_0_1799,plain,
~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)),X4),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018]) ).
cnf(i_0_1800,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_1801,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_in(X4,X3,X1)
| ~ c_in(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1018]) ).
cnf(i_0_1802,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),c_COMBK(X4,tc_bool,X3),X3,tc_bool) = X4,
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044]) ).
cnf(i_0_1803,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
| ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1804,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151]) ).
cnf(i_0_1805,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_HOL_Oord__class_Oless(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_1806,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152]) ).
cnf(i_0_1807,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1152]) ).
cnf(i_0_1808,plain,
~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_893,i_0_1330,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253]) ).
cnf(i_0_1809,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1810,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
inference(rename_variables,[],[i_0_1330]) ).
cnf(i_0_1811,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(rename_variables,[],[i_0_1253]) ).
cnf(i_0_1812,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_893,i_0_1330,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856]) ).
cnf(i_0_1813,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1224]) ).
cnf(i_0_1814,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_1277]) ).
cnf(i_0_1815,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_856]) ).
cnf(i_0_1816,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095]) ).
cnf(i_0_1817,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1818,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1379]) ).
cnf(i_0_1819,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X5,X4,X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1095]) ).
cnf(i_0_1820,plain,
c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117]) ).
cnf(i_0_1821,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1822,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1117]) ).
cnf(i_0_1823,plain,
c_HOL_Ominus__class_Ominus(v_Fa,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) = v_Fa,
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_917,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128]) ).
cnf(i_0_1824,plain,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
inference(rename_variables,[],[i_0_928]) ).
cnf(i_0_1825,plain,
( c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3)
| X2 = X4
| c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1128]) ).
cnf(i_0_1826,plain,
c_Map_Omap__le(c_Map_Omap__add(X1,X1,X2,X3),X1,X2,X3),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784]) ).
cnf(i_0_1827,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_917]) ).
cnf(i_0_1828,plain,
( ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
| ~ c_Map_Omap__le(X2,X5,X3,X4)
| ~ c_Map_Omap__le(X1,X5,X3,X4) ),
inference(rename_variables,[],[i_0_784]) ).
cnf(i_0_1829,plain,
~ c_Fun_Oinj__on(c_Option_Othe(X1),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_ONone(X1),X2,X3),X3),X3,X4),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957]) ).
cnf(i_0_1830,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1831,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1832,plain,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
inference(rename_variables,[],[i_0_1431]) ).
cnf(i_0_1833,plain,
( hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X2,X4,X5)
| X2 = X3
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5) ),
inference(rename_variables,[],[i_0_957]) ).
cnf(i_0_1834,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466]) ).
cnf(i_0_1835,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3),X4,X5,X6,X7,X8,X9,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748]) ).
cnf(i_0_1836,plain,
( 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) ),
inference(rename_variables,[],[i_0_748]) ).
cnf(i_0_1837,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5,X6,X7,X8,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X10,X2),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749]) ).
cnf(i_0_1838,plain,
( 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) ),
inference(rename_variables,[],[i_0_749]) ).
cnf(i_0_1839,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_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758]) ).
cnf(i_0_1840,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_758]) ).
cnf(i_0_1841,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X2)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X2) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717]) ).
cnf(i_0_1842,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_914]) ).
cnf(i_0_1843,plain,
c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_ONone(X1),X2,X3),X3) = c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_ONone(X1),X2,X3),X3),X3),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228]) ).
cnf(i_0_1844,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_1845,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1228]) ).
cnf(i_0_1846,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,hAPP(c_Option_Othe(X3),c_Option_Ooption_OSome(c_Option_Othe(X4),X3)),X5,X6,X7,X8,X9,X10),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535]) ).
cnf(i_0_1847,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1848,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5,X6,X7,X8,hAPP(c_Option_Othe(X9),c_Option_Ooption_OSome(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X9)),X11,X2),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539]) ).
cnf(i_0_1849,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1850,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3),X4,X5,X6,X7,X8,X9,hAPP(c_Option_Othe(X10),c_Option_Ooption_OSome(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X11,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X10)),X1),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540]) ).
cnf(i_0_1851,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1852,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),tc_bool)),X1,X2),X3,X4,X5,X6,X7,X8,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),tc_bool))),hAPP(c_Com_Obody,v_pna)),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541]) ).
cnf(i_0_1853,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom))
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(c_Com_Obody,v_pna)) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541,i_0_1582]) ).
cnf(i_0_1854,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom))
| X2 = c_Map_Omap__add(X2,X2,X3,X4) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1827,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541,i_0_1582,i_0_905]) ).
cnf(i_0_1855,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_917]) ).
cnf(i_0_1856,plain,
( ~ c_Map_Omap__le(X1,X2,X3,X4)
| X1 = X2
| ~ c_Map_Omap__le(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_905]) ).
cnf(i_0_1857,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom))
| ~ c_Fun_Oinj__on(hAPP(c_Option_Othe(X2),c_Option_Ooption_OSome(c_Option_Othe(X3),X2)),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X3),c_Option_Ooption_ONone(X3)),X3),c_Set_Oinsert(c_Option_Ooption_ONone(X3),X4,X5),X5),X5,X6) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1827,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_1851,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541,i_0_1582,i_0_905,i_0_1579]) ).
cnf(i_0_1858,plain,
hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(X2,X1)) = X2,
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_1859,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom))
| ~ c_Fun_Oinj__on(c_Option_Othe(X2),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X2),c_Option_Ooption_ONone(X2)),X2),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X2),c_Option_Ooption_ONone(X2)),X2),c_Set_Oinsert(c_Option_Ooption_ONone(X2),X3,X4),X4),X4),X4,X5) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1827,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_1782,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_1851,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541,i_0_1582,i_0_905,i_0_1579,i_0_1580]) ).
cnf(i_0_1860,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_1861,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom))
| ~ c_Fun_Oinj__on(c_Option_Othe(X2),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X2),c_Option_Ooption_ONone(X2)),X2),c_Set_Oinsert(c_Option_Ooption_ONone(X2),X3,c_Option_Ooption_OSome(v_ya,tc_Com_Ocom)),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom)),hAPP(c_Com_Obody,v_pna),X4) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1827,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_1782,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_1851,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541,i_0_1582,i_0_905,i_0_1579,i_0_1580,i_0_1581]) ).
cnf(i_0_1862,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_914]) ).
cnf(i_0_1863,plain,
( c_Fun_Oinj__on(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Option_Ooption_OSome(v_ya,tc_Com_Ocom))
| ~ c_in(X2,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))
| c_in(X2,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)) ),
inference(scs_inference,[],[i_0_753,i_0_754,i_0_1335,i_0_1434,i_0_1438,i_0_760,i_0_1162,i_0_917,i_0_1667,i_0_1827,i_0_1287,i_0_1676,i_0_1788,i_0_1245,i_0_1630,i_0_1633,i_0_1638,i_0_1710,i_0_1736,i_0_1744,i_0_1791,i_0_1794,i_0_1821,i_0_1333,i_0_1722,i_0_1760,i_0_1762,i_0_1379,i_0_1713,i_0_1431,i_0_1433,i_0_1116,i_0_1277,i_0_1182,i_0_1624,i_0_1627,i_0_1716,i_0_1733,i_0_1739,i_0_1224,i_0_1328,i_0_1329,i_0_1440,i_0_1442,i_0_1443,i_0_1444,i_0_1446,i_0_1448,i_0_1450,i_0_1452,i_0_1453,i_0_1454,i_0_1455,i_0_1456,i_0_1457,i_0_1459,i_0_815,i_0_1198,i_0_1782,i_0_773,i_0_1411,i_0_1683,i_0_1699,i_0_1764,i_0_1775,i_0_1777,i_0_1779,i_0_1786,i_0_1830,i_0_1847,i_0_1849,i_0_1851,i_0_931,i_0_919,i_0_893,i_0_1809,i_0_1330,i_0_1331,i_0_928,i_0_1085,i_0_1084,i_0_1166,i_0_1670,i_0_1673,i_0_1750,i_0_1216,i_0_1661,i_0_774,i_0_841,i_0_842,i_0_944,i_0_945,i_0_1020,i_0_1021,i_0_1049,i_0_1060,i_0_1220,i_0_1221,i_0_1229,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_1464,i_0_755,i_0_805,i_0_813,i_0_823,i_0_846,i_0_874,i_0_935,i_0_1033,i_0_1059,i_0_1129,i_0_1144,i_0_1181,i_0_1242,i_0_1316,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_1400,i_0_1436,i_0_772,i_0_858,i_0_875,i_0_914,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1130,i_0_1131,i_0_1143,i_0_1145,i_0_1164,i_0_1209,i_0_1233,i_0_1259,i_0_1289,i_0_1465,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1576,i_0_1577,i_0_1578,i_0_745,i_0_832,i_0_845,i_0_1014,i_0_1018,i_0_1044,i_0_1151,i_0_1152,i_0_1253,i_0_856,i_0_1095,i_0_1117,i_0_1128,i_0_784,i_0_957,i_0_1466,i_0_748,i_0_749,i_0_758,i_0_1717,i_0_1228,i_0_1535,i_0_1539,i_0_1540,i_0_1541,i_0_1582,i_0_905,i_0_1579,i_0_1580,i_0_1581,i_0_1740]) ).
cnf(i_0_1864,plain,
( ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(scs_inference,[],[i_0_1616,i_0_851]) ).
cnf(i_0_1865,plain,
( ~ c_Com_OWT(X1)
| c_in(v_sko__Hoare__Mirabelle__XMGF__lemma1__1(X2),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)
| c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(scs_inference,[],[i_0_1616,i_0_999]) ).
cnf(i_0_1866,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Set_Oinsert(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X5),X6,X7,X8,X9,X10,X11,X12,X3),
inference(scs_inference,[],[i_0_1769,i_0_743]) ).
cnf(i_0_1867,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1769]) ).
cnf(i_0_1868,plain,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
inference(rename_variables,[],[i_0_743]) ).
cnf(i_0_1869,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oinsert(c_Set_Oinsert(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X6),X7,X8,X9,X10,X11,X12,X4),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_743,i_0_744]) ).
cnf(i_0_1870,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1769]) ).
cnf(i_0_1871,plain,
( hAPP(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) = X2
| ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_1872,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X3),X4,X5,X6,X7,X8,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X10),X11,X1),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_743,i_0_744,i_0_750]) ).
cnf(i_0_1873,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1769]) ).
cnf(i_0_1874,plain,
( 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) ),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_1875,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oinsert(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X4),X5,X6,X7,X8,X9,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),X11),X2),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_743,i_0_744,i_0_750,i_0_751]) ).
cnf(i_0_1876,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1769]) ).
cnf(i_0_1877,plain,
( 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) ),
inference(rename_variables,[],[i_0_751]) ).
cnf(i_0_1878,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026]) ).
cnf(i_0_1879,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1678]) ).
cnf(i_0_1880,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1026]) ).
cnf(i_0_1881,plain,
c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(X3,X1,X4,X2)),X5),X6,tc_fun(X2,tc_bool)),X3,X4,X2),X1,tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1623,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774]) ).
cnf(i_0_1882,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1883,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_lessequals(c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_774]) ).
cnf(i_0_1884,plain,
c_lessequals(c_Set_Oimage(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_Fa,c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname,X2),c_Set_Oimage(X1,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841]) ).
cnf(i_0_1885,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_841]) ).
cnf(i_0_1886,plain,
c_lessequals(c_Set_Ovimage(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_Fa,c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X2,tc_Com_Opname),c_Set_Ovimage(X1,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),X2,tc_Com_Opname),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842]) ).
cnf(i_0_1887,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_842]) ).
cnf(i_0_1888,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1629,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020]) ).
cnf(i_0_1889,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_1890,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1020]) ).
cnf(i_0_1891,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1629,i_0_1889,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021]) ).
cnf(i_0_1892,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_1893,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1021]) ).
cnf(i_0_1894,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X2,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1629,i_0_1889,i_0_1781,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049]) ).
cnf(i_0_1895,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1049]) ).
cnf(i_0_1896,plain,
c_in(v_pn,c_Map_Odom(c_Com_Obody,X1,tc_Com_Ocom),X1),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1629,i_0_1889,i_0_1781,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220]) ).
cnf(i_0_1897,plain,
( hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
| c_in(X2,c_Map_Odom(X1,X5,X4),X5) ),
inference(rename_variables,[],[i_0_1220]) ).
cnf(i_0_1898,plain,
c_in(v_y,c_Map_Oran(c_Com_Obody,X1,tc_Com_Ocom),tc_Com_Ocom),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1629,i_0_1889,i_0_1781,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221]) ).
cnf(i_0_1899,plain,
( hAPP(X1,X2) != c_Option_Ooption_OSome(X3,X4)
| c_in(X3,c_Map_Oran(X1,X5,X4),X4) ),
inference(rename_variables,[],[i_0_1221]) ).
cnf(i_0_1900,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1629,i_0_1889,i_0_1781,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236]) ).
cnf(i_0_1901,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1236]) ).
cnf(i_0_1902,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X1),X3),X4,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241]) ).
cnf(i_0_1903,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1904,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1241]) ).
cnf(i_0_1905,plain,
c_Hoare__Mirabelle_Ohoare__valids(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(v_Fa,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318]) ).
cnf(i_0_1906,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__valids(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1318]) ).
cnf(i_0_1907,plain,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X6),X7),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1669,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365]) ).
cnf(i_0_1908,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1365]) ).
cnf(i_0_1909,plain,
c_Com_OWT(v_y),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1669,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615]) ).
cnf(i_0_1910,plain,
( hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| c_Com_OWT(X2) ),
inference(rename_variables,[],[i_0_1615]) ).
cnf(i_0_1911,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_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1669,i_0_1839,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758]) ).
cnf(i_0_1912,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_758]) ).
cnf(i_0_1913,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,hAPP(c_Option_Othe(X2),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2)),X4,X5),X6)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1669,i_0_1698,i_0_1839,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805]) ).
cnf(i_0_1914,plain,
~ hBOOL(hAPP(hAPP(c_Option_Othe(X1),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),X3)),
inference(rename_variables,[],[i_0_1698]) ).
cnf(i_0_1915,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_805]) ).
cnf(i_0_1916,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,hAPP(X1,X3)),X4,X5),X6,X7),X8,X9),X3)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1669,i_0_1698,i_0_1839,i_0_1678,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846]) ).
cnf(i_0_1917,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(rename_variables,[],[i_0_1669]) ).
cnf(i_0_1918,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_846]) ).
cnf(i_0_1919,plain,
~ c_in(X1,c_Map_Odom(c_Fun_Ofun__upd(X2,X1,c_Option_Ooption_ONone(X3),X4,X5),X6,X3),X6),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1732,i_0_1669,i_0_1698,i_0_1839,i_0_1678,i_0_793,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129]) ).
cnf(i_0_1920,plain,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
inference(rename_variables,[],[i_0_793]) ).
cnf(i_0_1921,plain,
( hAPP(X1,X2) != c_Option_Ooption_ONone(X3)
| ~ c_in(X2,c_Map_Odom(X1,X4,X3),X4) ),
inference(rename_variables,[],[i_0_1129]) ).
cnf(i_0_1922,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oinsert(X1,X2,X3),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1834,i_0_1732,i_0_1669,i_0_1698,i_0_1839,i_0_1678,i_0_793,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144]) ).
cnf(i_0_1923,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1144]) ).
cnf(i_0_1924,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_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1834,i_0_1732,i_0_1669,i_0_1698,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181]) ).
cnf(i_0_1925,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_1181]) ).
cnf(i_0_1926,plain,
~ c_in(X1,hAPP(c_Option_Othe(X2),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2)),X4),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1834,i_0_1732,i_0_1669,i_0_1698,i_0_1914,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348]) ).
cnf(i_0_1927,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1348]) ).
cnf(i_0_1928,plain,
~ hBOOL(hAPP(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),X3)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1834,i_0_1732,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371]) ).
cnf(i_0_1929,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1930,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rename_variables,[],[i_0_1371]) ).
cnf(i_0_1931,plain,
~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),tc_fun(X3,tc_bool)),X4)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372]) ).
cnf(i_0_1932,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_1933,plain,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_1372]) ).
cnf(i_0_1934,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1629,i_0_1889,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399]) ).
cnf(i_0_1935,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1399]) ).
cnf(i_0_1936,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(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),X5,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1629,i_0_1889,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944]) ).
cnf(i_0_1937,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1938,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_944]) ).
cnf(i_0_1939,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(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),X5,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945]) ).
cnf(i_0_1940,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1941,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_945]) ).
cnf(i_0_1942,plain,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Set_Oinsert(hAPP(X2,X1),X4,X5),X5),X6,X5),X6),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935]) ).
cnf(i_0_1943,plain,
c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
inference(rename_variables,[],[i_0_1637]) ).
cnf(i_0_1944,plain,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(rename_variables,[],[i_0_935]) ).
cnf(i_0_1945,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033]) ).
cnf(i_0_1946,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
inference(rename_variables,[],[i_0_1033]) ).
cnf(i_0_1947,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059]) ).
cnf(i_0_1948,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2 ),
inference(rename_variables,[],[i_0_1059]) ).
cnf(i_0_1949,plain,
c_in(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X3,X4),X5,tc_fun(X4,tc_bool)),X4),X4),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060]) ).
cnf(i_0_1950,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_1951,plain,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1060]) ).
cnf(i_0_1952,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,c_Map_Omap__add(X3,c_Map_Omap__add(X4,X1,X5,X6),X5,X6),X5,X6),X5,X6),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823]) ).
cnf(i_0_1953,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,c_Map_Omap__add(X3,X1,X4,X5),X4,X5),X4,X5),
inference(rename_variables,[],[i_0_1666]) ).
cnf(i_0_1954,plain,
( ~ c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
| c_Map_Omap__le(X2,X5,X3,X4) ),
inference(rename_variables,[],[i_0_823]) ).
cnf(i_0_1955,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5,X6,X7,X8,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X10),X11,X2),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749]) ).
cnf(i_0_1956,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1769]) ).
cnf(i_0_1957,plain,
( 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) ),
inference(rename_variables,[],[i_0_749]) ).
cnf(i_0_1958,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3),X4,X5,X6,X7,X8,X9,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),X11),X1),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748]) ).
cnf(i_0_1959,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1769]) ).
cnf(i_0_1960,plain,
( 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) ),
inference(rename_variables,[],[i_0_748]) ).
cnf(i_0_1961,plain,
c_Option_Ooption_OSome(v_y,tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(scs_inference,[],[i_0_1435,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464]) ).
cnf(i_0_1962,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092]) ).
cnf(i_0_1963,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1964,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_1092]) ).
cnf(i_0_1965,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3),X4,tc_fun(X5,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3)),X4),tc_fun(X5,tc_bool)),X6,X7,X8,X9,X10,X11,hAPP(c_Option_Othe(X12),c_Option_Ooption_OSome(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X12)),X1),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1932,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533]) ).
cnf(i_0_1966,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_1967,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5,tc_fun(X6,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X6,tc_bool)),c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4)),X5),tc_fun(X6,tc_bool)),X7,X8,X9,X10,hAPP(c_Option_Othe(X11),c_Option_Ooption_OSome(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X12,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),X11)),X13,X2),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534]) ).
cnf(i_0_1968,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_1969,plain,
c_Com_OWT(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(v_ya,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548]) ).
cnf(i_0_1970,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1971,plain,
class_Complete__Lattice_Ocomplete__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1839,i_0_1678,i_0_793,i_0_1376,i_0_1167,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550]) ).
cnf(i_0_1972,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1973,plain,
class_Lattices_Oboolean__algebra(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1839,i_0_1678,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559]) ).
cnf(i_0_1974,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1975,plain,
class_Lattices_Obounded__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1839,i_0_1678,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563]) ).
cnf(i_0_1976,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1977,plain,
class_Finite__Set_Ofinite_Ofinite(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1839,i_0_1678,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567]) ).
cnf(i_0_1978,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1979,plain,
class_Orderings_Otop(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569]) ).
cnf(i_0_1980,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_1981,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_ya),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614]) ).
cnf(i_0_1982,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Com_OWT(X1) ),
inference(rename_variables,[],[i_0_1614]) ).
cnf(i_0_1983,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),v_Fa),X1),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_754,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091]) ).
cnf(i_0_1984,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_1985,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1091]) ).
cnf(i_0_1986,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),v_Fa),X1),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189]) ).
cnf(i_0_1987,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1189]) ).
cnf(i_0_1988,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),X1),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839]) ).
cnf(i_0_1989,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_1705]) ).
cnf(i_0_1990,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
inference(rename_variables,[],[i_0_1715]) ).
cnf(i_0_1991,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_839]) ).
cnf(i_0_1992,plain,
c_Fun_Oinj__on(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(tc_bool,tc_bool)),tc_bool,tc_bool),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844]) ).
cnf(i_0_1993,plain,
c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1644]) ).
cnf(i_0_1994,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_1705]) ).
cnf(i_0_1995,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_844]) ).
cnf(i_0_1996,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X2,X3,X4),X5),X5),c_Set_Oinsert(X2,X3,X4),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041]) ).
cnf(i_0_1997,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1741]) ).
cnf(i_0_1998,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4) ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_1999,plain,
c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_bool,tc_bool)),c_Set_Oimage(X2,X1,X3,tc_bool)),X4),X5,tc_fun(tc_bool,tc_bool)),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772]) ).
cnf(i_0_2000,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2001,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(rename_variables,[],[i_0_1705]) ).
cnf(i_0_2002,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_772]) ).
cnf(i_0_2003,plain,
c_in(hAPP(X1,X2),c_Set_Oinsert(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,c_Set_Oinsert(X2,X4,X5),X6,X7),X8,tc_fun(X7,tc_bool)),X7),X7),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858]) ).
cnf(i_0_2004,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2005,plain,
( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(hAPP(X1,X6),X5,X4)
| ~ c_in(X6,X2,X3) ),
inference(rename_variables,[],[i_0_858]) ).
cnf(i_0_2006,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040]) ).
cnf(i_0_2007,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1328]) ).
cnf(i_0_2008,plain,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_2009,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090]) ).
cnf(i_0_2010,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2011,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1090]) ).
cnf(i_0_2012,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1724,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098]) ).
cnf(i_0_2013,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_2014,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1098]) ).
cnf(i_0_2015,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100]) ).
cnf(i_0_2016,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_2017,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1100]) ).
cnf(i_0_2018,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_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106]) ).
cnf(i_0_2019,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(rename_variables,[],[i_0_1728]) ).
cnf(i_0_2020,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_1106]) ).
cnf(i_0_2021,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_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108]) ).
cnf(i_0_2022,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(rename_variables,[],[i_0_1728]) ).
cnf(i_0_2023,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_1108]) ).
cnf(i_0_2024,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,tc_Com_Ostate),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_1773,i_0_1781,i_0_1644,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131]) ).
cnf(i_0_2025,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2026,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1131]) ).
cnf(i_0_2027,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool))),X4),X5,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164]) ).
cnf(i_0_2028,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2029,plain,
c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1644]) ).
cnf(i_0_2030,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_1164]) ).
cnf(i_0_2031,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259]) ).
cnf(i_0_2032,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_2033,plain,
c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool)),X5),X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832]) ).
cnf(i_0_2034,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2035,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_2036,plain,
c_lessequals(hAPP(X1,X2),c_Set_Oinsert(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X2,X4,X5),X1,X6,tc_fun(X7,tc_bool)),X8,tc_fun(X7,tc_bool)),X7),tc_fun(X7,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845]) ).
cnf(i_0_2037,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_1629]) ).
cnf(i_0_2038,plain,
( ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_bool)),X5,tc_fun(X4,tc_bool))
| c_lessequals(hAPP(X2,X6),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X1,X3) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_2039,plain,
c_Map_Omap__add(X1,X1,X2,X3) = X1,
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905]) ).
cnf(i_0_2040,plain,
c_Map_Omap__le(c_Map_Omap__add(X1,X1,X2,X3),X1,X2,X3),
inference(rename_variables,[],[i_0_1826]) ).
cnf(i_0_2041,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_917]) ).
cnf(i_0_2042,plain,
( ~ c_Map_Omap__le(X1,X2,X3,X4)
| X1 = X2
| ~ c_Map_Omap__le(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_905]) ).
cnf(i_0_2043,plain,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(X1,X2,X3),c_COMBK(X4,tc_bool,X5),X5,tc_bool) = X4,
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044]) ).
cnf(i_0_2044,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,c_COMBK(X3,X4,X2),X2,X4) = X3
| ~ class_Complete__Lattice_Ocomplete__lattice(X4) ),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_2045,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151]) ).
cnf(i_0_2046,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1804]) ).
cnf(i_0_2047,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_HOL_Oord__class_Oless(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_2048,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152]) ).
cnf(i_0_2049,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1804]) ).
cnf(i_0_2050,plain,
( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1152]) ).
cnf(i_0_2051,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X1)),X3),X4,tc_fun(X1,tc_bool)),X1),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875]) ).
cnf(i_0_2052,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2053,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_875]) ).
cnf(i_0_2054,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))),X4),X5,tc_fun(X2,tc_bool)),X2,X6),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914]) ).
cnf(i_0_2055,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2056,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_914]) ).
cnf(i_0_2057,plain,
c_in(hAPP(c_Set_Oinsert(X1,X2,X3),X1),c_Set_Oimage(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X5),X5,X6),X6),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104]) ).
cnf(i_0_2058,plain,
c_in(hAPP(X1,X2),c_Set_Oinsert(X3,c_Set_Oimage(X1,c_Set_Oinsert(X2,X4,X5),X5,X6),X6),X6),
inference(rename_variables,[],[i_0_1709]) ).
cnf(i_0_2059,plain,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1104]) ).
cnf(i_0_2060,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),X1),v_Fa),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130]) ).
cnf(i_0_2061,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1626]) ).
cnf(i_0_2062,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1130]) ).
cnf(i_0_2063,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209]) ).
cnf(i_0_2064,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1209]) ).
cnf(i_0_2065,plain,
c_Set_Oinsert(X1,X2,X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228]) ).
cnf(i_0_2066,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_2067,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1245]) ).
cnf(i_0_2068,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(rename_variables,[],[i_0_1228]) ).
cnf(i_0_2069,plain,
~ c_lessequals(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),hAPP(c_Option_Othe(X7),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),tc_fun(X9,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233]) ).
cnf(i_0_2070,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(rename_variables,[],[i_0_1669]) ).
cnf(i_0_2071,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_2072,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),v_Fa),X1),X2,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143]) ).
cnf(i_0_2073,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1623]) ).
cnf(i_0_2074,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1143]) ).
cnf(i_0_2075,plain,
~ c_HOL_Oord__class_Oless(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_Fa,c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145]) ).
cnf(i_0_2076,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_2077,plain,
~ c_in(X1,c_HOL_Ouminus__class_Ouminus(c_Set_Oinsert(X1,X2,X3),tc_fun(X4,tc_bool)),X4),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018]) ).
cnf(i_0_2078,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1167]) ).
cnf(i_0_2079,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_in(X4,X3,X1)
| ~ c_in(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1018]) ).
cnf(i_0_2080,plain,
c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),v_Fa,c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289]) ).
cnf(i_0_2081,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_2082,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014]) ).
cnf(i_0_2083,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1812]) ).
cnf(i_0_2084,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(rename_variables,[],[i_0_1652]) ).
cnf(i_0_2085,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(rename_variables,[],[i_0_1014]) ).
cnf(i_0_2086,plain,
c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,v_pn),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465]) ).
cnf(i_0_2087,plain,
c_Option_Ooption_ONone(X1) != c_Option_Ooption_OSome(X2,X1),
inference(rename_variables,[],[i_0_1433]) ).
cnf(i_0_2088,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(c_Option_Ooption_OSome(v_y,tc_Com_Ocom),tc_bool)),X1,X2),X3,X4,X5,X6,X7,X8,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(c_Option_Ooption_OSome(v_y,tc_Com_Ocom),tc_bool))),hAPP(c_Com_Obody,v_pn)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541]) ).
cnf(i_0_2089,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Oinsert(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3),X4,X5,X6,X7,X8,X9,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X1),
inference(rename_variables,[],[i_0_1835]) ).
cnf(i_0_2090,plain,
~ c_HOL_Oord__class_Oless(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),tc_fun(X2,tc_bool)),v_Fa,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544]) ).
cnf(i_0_2091,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2092,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(v_Fa,c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_y),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545]) ).
cnf(i_0_2093,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),v_Fa,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),X1),tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546]) ).
cnf(i_0_2094,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2095,plain,
class_Lattices_Olattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547]) ).
cnf(i_0_2096,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2097,plain,
class_Lattices_Olower__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549]) ).
cnf(i_0_2098,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2099,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551]) ).
cnf(i_0_2100,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2101,plain,
class_Lattices_Odistrib__lattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552]) ).
cnf(i_0_2102,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2103,plain,
hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2) != hAPP(hAPP(c_Option_Othe(X7),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),X9),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553]) ).
cnf(i_0_2104,plain,
class_Lattices_Oupper__semilattice(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554]) ).
cnf(i_0_2105,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2106,plain,
class_HOL_Oord(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557]) ).
cnf(i_0_2107,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2108,plain,
class_Orderings_Olinorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558]) ).
cnf(i_0_2109,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2110,plain,
class_Orderings_Opreorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560]) ).
cnf(i_0_2111,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2112,plain,
~ c_in(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(hAPP(c_Hoare__Mirabelle_OMGT,v_y),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(c_Hoare__Mirabelle_OMGT,v_y)),X1),tc_fun(X2,tc_bool)),v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564]) ).
cnf(i_0_2113,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2114,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),tc_fun(X2,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565]) ).
cnf(i_0_2115,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2116,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),v_Fa,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1),tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566]) ).
cnf(i_0_2117,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2118,plain,
class_Orderings_Obot(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568]) ).
cnf(i_0_2119,plain,
X1 = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
inference(rename_variables,[],[i_0_1672]) ).
cnf(i_0_2120,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),tc_fun(X2,tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577]) ).
cnf(i_0_2121,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2122,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(tc_fun(X5,tc_bool),X6,tc_fun(X7,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X7,tc_bool)),tc_fun(X5,tc_bool)),X6),tc_fun(X7,tc_bool))),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_1826,i_0_1666,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578]) ).
cnf(i_0_2123,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2124,plain,
~ c_Fun_Oinj__on(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Option_Othe(X1),X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),c_Option_Othe(X1)),X2),tc_fun(X3,tc_bool)),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_ONone(X1),X4,X5),X5),X5,X6),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_1826,i_0_1666,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579]) ).
cnf(i_0_2125,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2126,plain,
~ c_Fun_Oinj__on(c_Option_Othe(X1),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_ONone(X1),X2,c_Option_Ooption_OSome(v_y,tc_Com_Ocom)),c_Option_Ooption_OSome(v_y,tc_Com_Ocom)),hAPP(c_Com_Obody,v_pn),X3),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_1826,i_0_1666,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581]) ).
cnf(i_0_2127,plain,
~ c_Fun_Oinj__on(c_Option_Othe(X1),c_Set_Oinsert(c_Option_Ooption_OSome(hAPP(c_Option_Othe(X1),c_Option_Ooption_ONone(X1)),X1),c_Set_Oinsert(c_Option_Ooption_ONone(X1),X2,X3),X3),X3,X4),
inference(rename_variables,[],[i_0_1829]) ).
cnf(i_0_2128,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_fun(X2,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),tc_fun(X2,tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_1826,i_0_1666,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576]) ).
cnf(i_0_2129,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2130,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Option_Othe(X3),X4,tc_fun(X5,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Option_Othe(X3)),X4),tc_fun(X5,tc_bool)),X6,X7,X8,X9,X10,X11),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_1732,i_0_1823,i_0_1654,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1826,i_0_1787,i_0_1666,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535]) ).
cnf(i_0_2131,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2132,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1826,i_0_1787,i_0_1666,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175]) ).
cnf(i_0_2133,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1726]) ).
cnf(i_0_2134,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_1175]) ).
cnf(i_0_2135,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_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176]) ).
cnf(i_0_2136,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
inference(rename_variables,[],[i_0_1730]) ).
cnf(i_0_2137,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_1176]) ).
cnf(i_0_2138,plain,
c_Map_Omap__le(c_Map_Omap__add(X1,c_Map_Omap__add(X2,X1,X3,X4),X3,X4),c_Map_Omap__add(X2,X1,X3,X4),X3,X4),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784]) ).
cnf(i_0_2139,plain,
c_Map_Omap__le(X1,c_Map_Omap__add(X2,c_Map_Omap__add(X3,X1,X4,X5),X4,X5),X4,X5),
inference(rename_variables,[],[i_0_1666]) ).
cnf(i_0_2140,plain,
c_Map_Omap__le(X1,X1,X2,X3),
inference(rename_variables,[],[i_0_1162]) ).
cnf(i_0_2141,plain,
( ~ c_Map_Omap__le(X1,c_Map_Omap__add(X1,X2,X3,X4),X3,X4)
| c_Map_Omap__le(c_Map_Omap__add(X1,X2,X3,X4),X5,X3,X4)
| ~ c_Map_Omap__le(X2,X5,X3,X4)
| ~ c_Map_Omap__le(X1,X5,X3,X4) ),
inference(rename_variables,[],[i_0_784]) ).
cnf(i_0_2142,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856]) ).
cnf(i_0_2143,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1224]) ).
cnf(i_0_2144,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1694]) ).
cnf(i_0_2145,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_856]) ).
cnf(i_0_2146,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946]) ).
cnf(i_0_2147,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1333]) ).
cnf(i_0_2148,plain,
class_Orderings_Oorder(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)),
inference(rename_variables,[],[i_0_1767]) ).
cnf(i_0_2149,plain,
( c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X3),c_SetInterval_Oord__class_OatLeastAtMost(X4,X5,X3),tc_fun(X3,tc_bool))
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_lessequals(X4,X1,X3) ),
inference(rename_variables,[],[i_0_946]) ).
cnf(i_0_2150,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,c_Set_Oinsert(c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),X6,X7),X8,X9),X10,X11,X12,c_Option_Othe(X3),X13,X14,X15,X5),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740]) ).
cnf(i_0_2151,plain,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
inference(rename_variables,[],[i_0_740]) ).
cnf(i_0_2152,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,c_Set_Oinsert(c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6)),X7,X8),X9,X10),X11,X12,X13,c_Option_Othe(X4),X14,X15,X6),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741]) ).
cnf(i_0_2153,plain,
( hAPP(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)) = hAPP(hAPP(X5,X2),X3)
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
inference(rename_variables,[],[i_0_741]) ).
cnf(i_0_2154,plain,
~ c_in(hAPP(c_Com_Ocom_OBODY,v_pna),c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942]) ).
cnf(i_0_2155,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(rename_variables,[],[i_0_942]) ).
cnf(i_0_2156,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971]) ).
cnf(i_0_2157,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_971]) ).
cnf(i_0_2158,plain,
~ hBOOL(hAPP(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X3,tc_bool)),X4)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045]) ).
cnf(i_0_2159,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(rename_variables,[],[i_0_1045]) ).
cnf(i_0_2160,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))),X3),X4)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046]) ).
cnf(i_0_2161,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(rename_variables,[],[i_0_1046]) ).
cnf(i_0_2162,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118]) ).
cnf(i_0_2163,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1118]) ).
cnf(i_0_2164,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X1),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119]) ).
cnf(i_0_2165,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1119]) ).
cnf(i_0_2166,plain,
c_Finite__Set_Ofinite(X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_bool,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436]) ).
cnf(i_0_2167,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_1436]) ).
cnf(i_0_2168,plain,
c_lessequals(X1,X1,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400]) ).
cnf(i_0_2169,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_2170,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_ya),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,v_ya),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912]) ).
cnf(i_0_2171,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_bool)),tc_Hoare__Mirabelle_Otriple(X3)),X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oinsert(X2,X4,tc_Hoare__Mirabelle_Otriple(X3)),X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(rename_variables,[],[i_0_912]) ).
cnf(i_0_2172,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959]) ).
cnf(i_0_2173,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_2174,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))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_959]) ).
cnf(i_0_2175,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006]) ).
cnf(i_0_2176,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_1051]) ).
cnf(i_0_2177,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1006]) ).
cnf(i_0_2178,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153]) ).
cnf(i_0_2179,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1153]) ).
cnf(i_0_2180,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,c_Set_Oinsert(c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)),X6,X7),X8,X9),X10,X11,X12,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Option_Othe(X3),X13,tc_fun(X14,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X14,tc_bool)),c_Option_Othe(X3)),X13),tc_fun(X14,tc_bool)),X15,X16,X17,X5),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537]) ).
cnf(i_0_2181,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2182,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,c_Set_Oinsert(c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),X6)),X7,X8),X9,X10),X11,X12,X13,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Option_Othe(X4),X14,tc_fun(X15,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X15,tc_bool)),c_Option_Othe(X4)),X14),tc_fun(X15,tc_bool)),X16,X17,X6),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538]) ).
cnf(i_0_2183,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X2),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_2184,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_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742]) ).
cnf(i_0_2185,plain,
( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
| ~ c_Complete__Lattice_Ocomplete__lattice(X2,X5,X1,X6,X7,X8,X9,X10,X11)
| ~ c_in(X4,X3,X11) ),
inference(rename_variables,[],[i_0_742]) ).
cnf(i_0_2186,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X1),X2),tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1455,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742,i_0_1155]) ).
cnf(i_0_2187,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
inference(rename_variables,[],[i_0_1155]) ).
cnf(i_0_2188,plain,
~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),X2),X1),tc_nat),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1455,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742,i_0_1155,i_0_1156]) ).
cnf(i_0_2189,plain,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1156]) ).
cnf(i_0_2190,plain,
c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(X1,v_Fa,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),X2),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1455,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742,i_0_1155,i_0_1156,i_0_1115]) ).
cnf(i_0_2191,plain,
( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_1115]) ).
cnf(i_0_2192,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,v_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),v_Fa),X1),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1455,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742,i_0_1155,i_0_1156,i_0_1115,i_0_1057]) ).
cnf(i_0_2193,plain,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_2194,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1455,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742,i_0_1155,i_0_1156,i_0_1115,i_0_1057,i_0_970]) ).
cnf(i_0_2195,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_2196,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1678]) ).
cnf(i_0_2197,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X1,
inference(rename_variables,[],[i_0_920]) ).
cnf(i_0_2198,plain,
( ~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate))),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))
| c_lessequals(X1,X2,c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(tc_nat,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
inference(scs_inference,[],[i_0_1435,i_0_1438,i_0_760,i_0_1335,i_0_754,i_0_1652,i_0_2084,i_0_1637,i_0_1709,i_0_1721,i_0_1848,i_0_1850,i_0_1715,i_0_1990,i_0_1769,i_0_1867,i_0_1870,i_0_1873,i_0_1876,i_0_1956,i_0_1959,i_0_1707,i_0_1623,i_0_1882,i_0_1903,i_0_1937,i_0_1940,i_0_1963,i_0_1984,i_0_2000,i_0_2028,i_0_2052,i_0_2055,i_0_1626,i_0_1629,i_0_1889,i_0_1892,i_0_1950,i_0_2004,i_0_2010,i_0_2025,i_0_2034,i_0_1765,i_0_1766,i_0_1767,i_0_2148,i_0_1768,i_0_1770,i_0_1771,i_0_1772,i_0_1773,i_0_1780,i_0_1812,i_0_1781,i_0_1644,i_0_1993,i_0_1834,i_0_1741,i_0_1749,i_0_1783,i_0_1718,i_0_1728,i_0_2019,i_0_2022,i_0_1730,i_0_1724,i_0_2013,i_0_2016,i_0_1726,i_0_1732,i_0_1823,i_0_1654,i_0_1450,i_0_995,i_0_1932,i_0_1966,i_0_1968,i_0_2091,i_0_2094,i_0_2113,i_0_2115,i_0_2117,i_0_2121,i_0_2123,i_0_2125,i_0_2129,i_0_2131,i_0_2181,i_0_920,i_0_1162,i_0_1453,i_0_1826,i_0_1787,i_0_1666,i_0_1953,i_0_1829,i_0_1669,i_0_1917,i_0_2070,i_0_1698,i_0_1914,i_0_1672,i_0_1929,i_0_1970,i_0_1972,i_0_1974,i_0_1976,i_0_1978,i_0_1980,i_0_2096,i_0_2098,i_0_2100,i_0_2102,i_0_2105,i_0_2107,i_0_2109,i_0_2111,i_0_1835,i_0_1839,i_0_1678,i_0_1879,i_0_1694,i_0_1796,i_0_1701,i_0_1804,i_0_2046,i_0_1705,i_0_1989,i_0_1994,i_0_1445,i_0_1447,i_0_1458,i_0_1461,i_0_793,i_0_1356,i_0_1376,i_0_1051,i_0_1167,i_0_1616,i_0_917,i_0_2041,i_0_1245,i_0_1333,i_0_1182,i_0_1224,i_0_1328,i_0_1444,i_0_1454,i_0_1455,i_0_1433,i_0_1446,i_0_1456,i_0_1443,i_0_1459,i_0_743,i_0_744,i_0_750,i_0_751,i_0_1026,i_0_774,i_0_841,i_0_842,i_0_1020,i_0_1021,i_0_1049,i_0_1220,i_0_1221,i_0_1236,i_0_1241,i_0_1318,i_0_1365,i_0_1615,i_0_758,i_0_805,i_0_846,i_0_1129,i_0_1144,i_0_1181,i_0_1348,i_0_1371,i_0_1372,i_0_1399,i_0_944,i_0_945,i_0_935,i_0_1033,i_0_1059,i_0_1060,i_0_823,i_0_749,i_0_748,i_0_1464,i_0_1092,i_0_1533,i_0_1534,i_0_1548,i_0_1550,i_0_1559,i_0_1563,i_0_1567,i_0_1569,i_0_1614,i_0_1091,i_0_1189,i_0_839,i_0_844,i_0_1041,i_0_772,i_0_858,i_0_1040,i_0_1090,i_0_1098,i_0_1100,i_0_1106,i_0_1108,i_0_1131,i_0_1164,i_0_1259,i_0_832,i_0_845,i_0_905,i_0_1044,i_0_1151,i_0_1152,i_0_875,i_0_914,i_0_1104,i_0_1130,i_0_1209,i_0_1228,i_0_1233,i_0_1143,i_0_1145,i_0_1018,i_0_1289,i_0_1014,i_0_1465,i_0_1541,i_0_1544,i_0_1545,i_0_1546,i_0_1547,i_0_1549,i_0_1551,i_0_1552,i_0_1553,i_0_1554,i_0_1557,i_0_1558,i_0_1560,i_0_1564,i_0_1565,i_0_1566,i_0_1568,i_0_1577,i_0_1578,i_0_1579,i_0_1581,i_0_1576,i_0_1535,i_0_1175,i_0_1176,i_0_784,i_0_856,i_0_946,i_0_740,i_0_741,i_0_942,i_0_971,i_0_1045,i_0_1046,i_0_1118,i_0_1119,i_0_1436,i_0_1400,i_0_912,i_0_959,i_0_1006,i_0_1153,i_0_1537,i_0_1538,i_0_742,i_0_1155,i_0_1156,i_0_1115,i_0_1057,i_0_970,i_0_1426,i_0_1154,i_0_1307]) ).
cnf(i_0_2199,plain,
( ~ c_Com_OWT(X1)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(scs_inference,[],[i_0_1616,i_0_1614]) ).
cnf(i_0_2200,plain,
~ c_Complete__Lattice_Ocomplete__lattice(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,c_Set_Oinsert(c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),X4,X5)),X6,X7),X8,X9),X10,X11,X12,c_Option_Othe(X3),X13,X14,X15,X5),
inference(scs_inference,[],[i_0_2103,i_0_746]) ).
cnf(i_0_2201,plain,
hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2) != hAPP(hAPP(c_Option_Othe(X7),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),X9),
inference(rename_variables,[],[i_0_2103]) ).
cnf(i_0_2202,plain,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_2203,plain,
~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,c_Set_Oinsert(c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),X5,X6)),X7,X8),X9,X10),X11,X12,X13,c_Option_Othe(X4),X14,X15,X6),
inference(scs_inference,[],[i_0_2103,i_0_2201,i_0_746,i_0_747]) ).
cnf(i_0_2204,plain,
hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2) != hAPP(hAPP(c_Option_Othe(X7),c_Option_Ooption_OSome(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),X9),
inference(rename_variables,[],[i_0_2103]) ).
cnf(i_0_2205,plain,
( hAPP(X1,c_Set_Oinsert(X2,X3,X4)) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
| ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
inference(rename_variables,[],[i_0_747]) ).
cnf(i_0_2206,plain,
$false,
inference(scs_inference,[],[i_0_2103,i_0_2201,i_0_1640,i_0_2154,i_0_746,i_0_747,i_0_942]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV903-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n014.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 06:08:06 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.92/2.66 % Version : CSE_E---1.7
% 1.92/2.66 % Problem : theBenchmark.p
% 1.92/2.66 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/2.66 % SZS output start CNFRefutation
% See solution above
% 8.18/8.94 % Total time : 2.326s
%------------------------------------------------------------------------------