CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV860-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n012.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 05:27:33 PM UTC 2026

% Result   : Unsatisfiable 1.15s 1.52s
% Output   : CNFRefutation 6.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_520)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_insert__def_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__def_0) ).

cnf(cls_Collect__def_0,axiom,
    c_Collect(X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(cls_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__binary_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__singleton_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__insert_0) ).

cnf(cls_inj__on__insert_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1)))
    | ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).

cnf(cls_inj__on__insert_2,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),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)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).

cnf(cls_vimage__singleton__eq_0,axiom,
    ( hAPP(X1,X2) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__singleton__eq_0) ).

cnf(cls_vimage__singleton__eq_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).

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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).

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/sandbox2/benchmark/theBenchmark.p',cls_vimage__insert_0) ).

cnf(cls_singletonE_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).

cnf(cls_insertE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).

cnf(cls_insert__code_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_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/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__single_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/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).

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/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_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
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff_0) ).

cnf(cls_insert__inter__insert_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__inter__insert_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/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert_0) ).

cnf(cls_singleton__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).

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
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).

cnf(cls_insertCI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).

cnf(cls_insert__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).

cnf(cls_insertCI_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

cnf(cls_insertI1_0,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).

cnf(cls_insert__iff_1,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).

cnf(cls_insert__code_2,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_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/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).

cnf(cls_Int__insert__left_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).

cnf(cls_Int__insert__right_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).

cnf(cls_insert__ident_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).

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)
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_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/sandbox2/benchmark/theBenchmark.p',cls_UN__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/sandbox2/benchmark/theBenchmark.p',cls_UN__extend__simps_I1_J_0) ).

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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).

cnf(cls_Int__insert__left_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).

cnf(cls_Int__insert__right_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).

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)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).

cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).

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/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_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/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

cnf(cls_singleton__conv_0,axiom,
    c_Collect(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv_0) ).

cnf(cls_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_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/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(cls_Int__Collect_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect_0) ).

cnf(cls_Int__Collect_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,c_Collect(X1,X3),tc_fun(X3,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect_1) ).

cnf(cls_Int__Collect_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Collect_2) ).

cnf(cls_Collect__mem__eq_0,axiom,
    c_Collect(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__mem__eq_0) ).

cnf(cls_CollectD_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CollectD_0) ).

cnf(cls_CollectI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_empty__Collect__eq_0) ).

cnf(cls_Collect__empty__eq_0,axiom,
    ( c_Collect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__empty__eq_0) ).

cnf(cls_com_Orecs_I5_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(hAPP(X5,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X12)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I5_J_0) ).

cnf(cls_com_Orecs_I4_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(hAPP(hAPP(X4,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X11)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I4_J_0) ).

cnf(cls_com_Orecs_I3_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(X3,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I3_J_0) ).

cnf(cls_com_Orecs_I6_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(hAPP(X6,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I6_J_0) ).

cnf(cls_com_Osimps_I68_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X5,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I68_J_0) ).

cnf(cls_com_Osimps_I71_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I71_J_0) ).

cnf(cls_com_Osimps_I66_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X3,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I66_J_0) ).

cnf(cls_com_Orecs_I8_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I8_J_0) ).

cnf(cls_com_Osimps_I65_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I65_J_0) ).

cnf(cls_com_Osimps_I67_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(X4,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I67_J_0) ).

cnf(cls_com_Osimps_I69_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(X6,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I69_J_0) ).

cnf(cls_com_Orecs_I2_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I2_J_0) ).

cnf(cls_com_Osimps_I70_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10) = hAPP(X7,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I70_J_0) ).

cnf(cls_com_Orecs_I7_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10) = hAPP(X7,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I7_J_0) ).

cnf(cls_com_Osimps_I64_J_0,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I64_J_0) ).

cnf(cls_com_Orecs_I1_J_0,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Orecs_I1_J_0) ).

cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_Odual__complete__lattice_0) ).

cnf(cls_complete__lattice_OInf__lower_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OInf__lower_0) ).

cnf(cls_complete__lattice_OSup__upper_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__upper_0) ).

cnf(cls_complete__lattice_OInf__empty_0,axiom,
    ( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OInf__empty_0) ).

cnf(cls_complete__lattice_OSup__empty_0,axiom,
    ( hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) = X3
    | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X3,X9,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complete__lattice_OSup__empty_0) ).

cnf(cls_evaln__max2_0,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)
    | ~ c_Natural_Oevaln(X3,X4,X7,X6)
    | ~ c_Natural_Oevaln(X1,X2,X8,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__max2_0) ).

cnf(cls_evaln__max2_1,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)
    | ~ c_Natural_Oevaln(X1,X2,X7,X6)
    | ~ c_Natural_Oevaln(X3,X4,X8,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__max2_1) ).

cnf(cls_bex__UN_3,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X4,X5,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X5,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X6))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X6),hAPP(X3,X7)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X7),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__UN_3) ).

cnf(cls_ord_OatLeastLessThan__iff_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X5,X1,X6,X3,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatLeastLessThan__iff_1) ).

cnf(cls_ord_OatLeastLessThan__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X1,X5,X2,X6,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatLeastLessThan__iff_0) ).

cnf(cls_fcomp__assoc_0,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6,X3,X5,X7) = c_Fun_Ofcomp(X1,c_Fun_Ofcomp(X2,X6,X4,X5,X7),X3,X4,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__assoc_0) ).

cnf(cls_o__assoc_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Ocomp(X2,X3,X4,X5,X6),X5,X7,X6) = c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X5,X7,X4),X3,X4,X7,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__assoc_0) ).

cnf(cls_bex__UN_4,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X1,X4,X5)))
    | ~ hBOOL(hAPP(X1,X6))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X6),hAPP(X3,X7)))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__UN_4) ).

cnf(cls_ord_OatLeastLessThan__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X3,X4,X5,X6,X1)))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X6))
    | ~ hBOOL(hAPP(hAPP(X3,X5),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatLeastLessThan__iff_2) ).

cnf(cls_comp__cong_0,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6)
    | hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__cong_0) ).

cnf(cls_inj__on__imageI_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__imageI_0) ).

cnf(cls_inf__Int__eq_0,axiom,
    hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__Int__eq_0) ).

cnf(cls_sup__Un__eq_0,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__Un__eq_0) ).

cnf(cls_comp__inj__on_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X2,X6,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__inj__on_0) ).

cnf(cls_o__eq__dest_0,axiom,
    ( hAPP(X1,hAPP(X2,X9)) = hAPP(X6,hAPP(X7,X9))
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(X6,X7,X8,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__eq__dest_0) ).

cnf(cls_inj__on__Un_3,axiom,
    ( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).

cnf(cls_o__eq__id__dest_0,axiom,
    ( hAPP(X1,hAPP(X2,X7)) = hAPP(X6,X7)
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__eq__id__dest_0) ).

cnf(cls_image__compose_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__compose_0) ).

cnf(cls_vimage__compose_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Ovimage(X2,c_Set_Ovimage(X1,X6,X3,X4),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__compose_0) ).

cnf(cls_ball__conj__distrib_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
    | ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__conj__distrib_2) ).

cnf(cls_ball__conj__distrib_3,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)))
    | ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__conj__distrib_3) ).

cnf(cls_SUP2__I_0,axiom,
    ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
    | ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SUP2__I_0) ).

cnf(cls_SUP2__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
    | ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SUP2__iff_2) ).

cnf(cls_bex__Un_4,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__Un_4) ).

cnf(cls_bex__Un_6,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__Un_6) ).

cnf(cls_fcomp__apply_0,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6) = hAPP(X2,hAPP(X1,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__apply_0) ).

cnf(cls_o__apply_0,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__apply_0) ).

cnf(cls_o__eq__dest__lhs_0,axiom,
    hAPP(X1,hAPP(X2,X3)) = hAPP(c_Fun_Ocomp(X1,X2,X4,X5,X6),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__eq__dest__lhs_0) ).

cnf(cls_fcomp__def_0,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,t_a,X3,X4),v_x) = hAPP(X2,hAPP(X1,v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__def_0) ).

cnf(cls_o__def_0,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,t_a),v_x) = hAPP(X1,hAPP(X2,v_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__def_0) ).

cnf(cls_inj__on__Un_2,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_2) ).

cnf(cls_ball__conj__distrib_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__conj__distrib_0) ).

cnf(cls_ball__conj__distrib_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__conj__distrib_1) ).

cnf(cls_Un__Int__crazy_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).

cnf(cls_vimageD_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageD_0) ).

cnf(cls_vimageE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageE_0) ).

cnf(cls_ord_OatLeastAtMost__iff_1,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X5,X3,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatLeastAtMost__iff_1) ).

cnf(cls_ord_OatLeastAtMost__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X1,X2,X5,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatLeastAtMost__iff_0) ).

cnf(cls_pred__equals__eq_0,axiom,
    ( X2 = X3
    | hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) != hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pred__equals__eq_0) ).

cnf(cls_vimage__code_0,axiom,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_0) ).

cnf(cls_UN__I_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UN__I_0) ).

cnf(cls_UN__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UN__iff_2) ).

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/sandbox2/benchmark/theBenchmark.p',cls_UN__Un_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/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).

cnf(cls_vimage__Int_0,axiom,
    c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Int_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).

cnf(cls_triple__valid__def2_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Natural_Oevaln(X4,X5,X6,X3)
    | ~ hBOOL(hAPP(hAPP(X7,X2),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X7,X4,X1,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple__valid__def2_0) ).

cnf(cls_vimageI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI_0) ).

cnf(cls_vimageI2_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI2_0) ).

cnf(cls_vimage__eq_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__eq_1) ).

cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
    ( X2 = X5
    | c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).

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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    file('/export/starexec/sandbox2/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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SUP1__iff_2) ).

cnf(cls_imageI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).

cnf(cls_image__eqI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).

cnf(cls_image__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).

cnf(cls_rev__image__eqI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).

cnf(cls_ord_OatLeastAtMost__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X5))
    | ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatLeastAtMost__iff_2) ).

cnf(cls_bex__Un_5,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__Un_5) ).

cnf(cls_bex__Un_7,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__Un_7) ).

cnf(cls_id__fcomp_0,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__fcomp_0) ).

cnf(cls_id__o_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__o_0) ).

cnf(cls_fcomp__id_0,axiom,
    c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fcomp__id_0) ).

cnf(cls_o__id_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_o__id_0) ).

cnf(cls_vimage__code_1,axiom,
    ( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
    | ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_1) ).

cnf(cls_evaln_OWhileTrue_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)
    | ~ c_Natural_Oevaln(X2,X3,X4,X6)
    | ~ hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OWhileTrue_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))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UN__absorb_0) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).

cnf(cls_evaln__elim__cases_I5_J_2,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(X5,X2,X3,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_2) ).

cnf(cls_evaln_OSemi_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(X2,X6,X4,X5)
    | ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).

cnf(cls_distrib__inf__le_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).

cnf(cls_distrib__sup__le_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distrib__sup__le_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/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).

cnf(cls_inj__on__Un_1,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).

cnf(cls_UnE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).

cnf(cls_evaln__elim__cases_I5_J_1,axiom,
    ( c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_1) ).

cnf(cls_evaln__elim__cases_I5_J_0,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | hBOOL(hAPP(X5,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I5_J_0) ).

cnf(cls_DiffE_1,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_1) ).

cnf(cls_evaln_OIfTrue_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OIfTrue_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/sandbox2/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_triple_Oinject_2) ).

cnf(cls_evaln_OIfFalse_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevaln(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OIfFalse_0) ).

cnf(cls_inj__onD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__onD_0) ).

cnf(cls_inj__on__def_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__def_0) ).

cnf(cls_inj__on__iff_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).

cnf(cls_inj__on__contraD_0,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).

cnf(cls_IntE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_0) ).

cnf(cls_IntE_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_1) ).

cnf(cls_DiffE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_0) ).

cnf(cls_rev__bexI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X3,X1)),X2))
    | ~ hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__bexI_0) ).

cnf(cls_bexE_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X3,X1)),X2))
    | ~ hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bexE_0) ).

cnf(cls_bexI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X3,X1)),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | ~ hBOOL(hAPP(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bexI_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)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__SUPI_0) ).

cnf(cls_IntI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntI_0) ).

cnf(cls_Int__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__iff_2) ).

cnf(cls_ballE_0,axiom,
    ( hBOOL(hAPP(X4,X2))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ballE_0) ).

cnf(cls_evaln__nonstrict_0,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X3,tc_nat)
    | ~ c_Natural_Oevaln(X1,X2,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__nonstrict_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_INT__extend__simps_I4_J_0) ).

cnf(cls_DiffI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffI_0) ).

cnf(cls_Diff__iff_2,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__iff_2) ).

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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X1)) ),
    file('/export/starexec/sandbox2/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))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNION__empty__conv_I1_J_0) ).

cnf(cls_evaln__Suc_0,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).

cnf(cls_Diff__Int2_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).

cnf(cls_Int__Un__distrib2_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(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_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).

cnf(cls_Diff__Int__distrib2_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).

cnf(cls_Un__Int__distrib2_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib2_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/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff_0) ).

cnf(cls_Int__Un__distrib_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(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(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).

cnf(cls_Diff__Int__distrib_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).

cnf(cls_Un__Int__distrib_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).

cnf(cls_Diff__Int_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int_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)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Un_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/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).

cnf(cls_ord_OlessThan__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OlessThan__iff_0) ).

cnf(cls_ord_OatMost__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatMost__iff_0) ).

cnf(cls_ord_OgreaterThan__iff_0,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OgreaterThan__iff_0) ).

cnf(cls_ballE_1,axiom,
    ( hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ballE_1) ).

cnf(cls_UnCI_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).

cnf(cls_UnCI_0,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).

cnf(cls_hoare__valids__def_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__valids__def_0) ).

cnf(cls_inf1E_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).

cnf(cls_inf1E_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_1) ).

cnf(cls_disjoint__iff__not__equal_0,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).

cnf(cls_triples__valid__Suc_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3)),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triples__valid__Suc_0) ).

cnf(cls_hoare__valids__def_1,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__valids__def_1) ).

cnf(cls_evaln__WHILE__case_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__WHILE__case_0) ).

cnf(cls_Int__assoc_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__assoc_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/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).

cnf(cls_Int__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Diff_0) ).

cnf(cls_Int__left__commute_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_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/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

cnf(cls_rev__bexI_1,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X1,X3)))
    | ~ hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__bexI_1) ).

cnf(cls_bexE_1,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X1,X3)))
    | ~ hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bexE_1) ).

cnf(cls_bexI_1,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X1,X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bexI_1) ).

cnf(cls_empty__is__image_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).

cnf(cls_image__is__empty_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).

cnf(cls_ord_OlessThan__iff_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OlessThan__iff_1) ).

cnf(cls_ord_OgreaterThan__iff_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThan(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OgreaterThan__iff_1) ).

cnf(cls_ord_OatMost__iff_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ord_OatMost__iff_1) ).

cnf(cls_eval__eq_1,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__eq_1) ).

cnf(cls_evaln__evalc_0,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).

cnf(cls_inf__sup__distrib2_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).

cnf(cls_sup__inf__distrib2_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).

cnf(cls_inf__sup__distrib1_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).

cnf(cls_sup__inf__distrib1_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).

cnf(cls_inf1I_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1I_0) ).

cnf(cls_triples__valid__Suc_1,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triples__valid__Suc_1) ).

cnf(cls_evaln__elim__cases_I1_J_0,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_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)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__Int_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).

cnf(cls_bex__empty_0,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).

cnf(cls_evalc__elim__cases_I5_J_2,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | c_Natural_Oevalc(X4,X2,X3)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_2) ).

cnf(cls_ball__empty_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).

cnf(cls_evalc__elim__cases_I5_J_1,axiom,
    ( c_Natural_Oevalc(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X5),X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_1) ).

cnf(cls_evalc_OWhileTrue_0,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4)
    | ~ c_Natural_Oevalc(X2,X3,X5)
    | ~ hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OWhileTrue_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).

cnf(cls_le__infI_0,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI_0) ).

cnf(cls_le__inf__iff_2,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).

cnf(cls_inf__greatest_0,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__greatest_0) ).

cnf(cls_evalc__elim__cases_I5_J_0,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | hBOOL(hAPP(X4,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I5_J_0) ).

cnf(cls_hoare__valids__def_2,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__valids__def_2) ).

cnf(cls_emptyE_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).

cnf(cls_empty__iff_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

cnf(cls_inf__assoc_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__assoc_0) ).

cnf(cls_inf__sup__aci_I2_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_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/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_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/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).

cnf(cls_inf__left__commute_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).

cnf(cls_inf__sup__aci_I3_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_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/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_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/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).

cnf(cls_vimage__empty_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__empty_0) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).

cnf(cls_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_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/sandbox2/benchmark/theBenchmark.p',cls_le__supE_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/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).

cnf(cls_le__inf__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).

cnf(cls_le__infE_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_0) ).

cnf(cls_le__inf__iff_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).

cnf(cls_le__infE_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).

cnf(cls_Int__left__absorb_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__absorb_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Un__Diff__cancel_0) ).

cnf(cls_evaln_OWhileFalse_0,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)
    | hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OWhileFalse_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/sandbox2/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).

cnf(cls_evalc_OIfTrue_0,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
    | ~ c_Natural_Oevalc(X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OIfTrue_0) ).

cnf(cls_evalc_OIfFalse_0,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevalc(X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OIfFalse_0) ).

cnf(cls_inf__fun__eq_0,axiom,
    ( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__fun__eq_0) ).

cnf(cls_sup__fun__eq_0,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).

cnf(cls_fun__diff__def_0,axiom,
    ( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_HOL_Ominus(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__diff__def_0) ).

cnf(cls_Diff__disjoint_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).

cnf(cls_le__infI1_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI1_0) ).

cnf(cls_le__infI2_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI2_0) ).

cnf(cls_le__supI1_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).

cnf(cls_le__supI2_0,axiom,
    ( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).

cnf(cls_image__id_0,axiom,
    c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__id_0) ).

cnf(cls_image__ident_0,axiom,
    c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__ident_0) ).

cnf(cls_vimage__id_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__id_0) ).

cnf(cls_vimage__ident_0,axiom,
    c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__ident_0) ).

cnf(cls_inj__on__id_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__id_0) ).

cnf(cls_inj__on__id2_0,axiom,
    c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__id2_0) ).

cnf(cls_evalc_OSemi_0,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
    | ~ c_Natural_Oevalc(X2,X5,X4)
    | ~ c_Natural_Oevalc(X1,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_n,X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_evaln_OSkip_0,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).

cnf(cls_Diff__triv_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__triv_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_order__trans_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).

cnf(cls_xt1_I6_J_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).

cnf(cls_inf__left__idem_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).

cnf(cls_inf__sup__aci_I4_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_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/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_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/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).

cnf(cls_le__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__trans_0) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_2) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).

cnf(cls_WTs__elim__cases_I8_J_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OBODY(X1))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I8_J_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/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls_order__antisym_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).

cnf(cls_order__eq__iff_2,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).

cnf(cls_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).

cnf(cls_WTs__elim__cases_I5_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I5_J_0) ).

cnf(cls_WTs__elim__cases_I5_J_1,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I5_J_1) ).

cnf(cls_WTs__elim__cases_I3_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I3_J_0) ).

cnf(cls_not__less__eq__eq_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_1) ).

cnf(cls_com__det_0,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevalc(X3,X4,X1)
    | ~ c_Natural_Oevalc(X3,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).

cnf(cls_com_Osimps_I4_J_0,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_0) ).

cnf(cls_com_Osimps_I7_J_0,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I7_J_0) ).

cnf(cls_com_Osimps_I2_J_0,axiom,
    ( X1 = X4
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I2_J_0) ).

cnf(cls_com_Osimps_I4_J_1,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_1) ).

cnf(cls_com_Osimps_I7_J_1,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I7_J_1) ).

cnf(cls_com_Osimps_I2_J_1,axiom,
    ( X2 = X5
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I2_J_1) ).

cnf(cls_com_Osimps_I4_J_2,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I4_J_2) ).

cnf(cls_com_Osimps_I7_J_2,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I7_J_2) ).

cnf(cls_com_Osimps_I2_J_2,axiom,
    ( X3 = X6
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I2_J_2) ).

cnf(cls_com_Osimps_I56_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I56_J_0) ).

cnf(cls_com_Osimps_I37_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I37_J_0) ).

cnf(cls_com_Osimps_I57_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I57_J_0) ).

cnf(cls_com_Osimps_I36_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I36_J_0) ).

cnf(cls_com_Osimps_I43_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I43_J_0) ).

cnf(cls_com_Osimps_I42_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I42_J_0) ).

cnf(cls_le__antisym_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__antisym_0) ).

cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

cnf(cls_inf__sup__absorb_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).

cnf(cls_sup__inf__absorb_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).

cnf(cls_inf__le1_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).

cnf(cls_inf__sup__ord_I1_J_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).

cnf(cls_inf__le2_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).

cnf(cls_inf__sup__ord_I2_J_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_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/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_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/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_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/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_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/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).

cnf(cls_evalc__WHILE__case_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X4),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__WHILE__case_0) ).

cnf(cls_Suc__le__mono_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__le__mono_0) ).

cnf(cls_Int__empty__left_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(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/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__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/sandbox2/benchmark/theBenchmark.p',cls_empty__Diff_0) ).

cnf(cls_Int__empty__right_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).

cnf(cls_Int__commute_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_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/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_le__SucE_0,axiom,
    ( X1 = c_Suc(X2)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__SucE_0) ).

cnf(cls_triple__valid__Suc_0,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_triple__valid__Suc_0) ).

cnf(cls_le__iff__inf_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).

cnf(cls_le__iff__sup_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Oupper__semilattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).

cnf(cls_Suc__le__mono_1,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__le__mono_1) ).

cnf(cls_le__iff__inf_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).

cnf(cls_inf__absorb2_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).

cnf(cls_sup__absorb1_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).

cnf(cls_le__iff__sup_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
    | ~ class_Lattices_Oupper__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).

cnf(cls_bot__empty__eq_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).

cnf(cls_Suc__leD_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__leD_0) ).

cnf(cls_le__SucI_0,axiom,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__SucI_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Diff__empty_0) ).

cnf(cls_WT_OCall_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))
    | ~ c_Com_OWT(c_Com_Ocom_OBODY(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OCall_0) ).

cnf(cls_WT_OIf_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))
    | ~ c_Com_OWT(X3)
    | ~ c_Com_OWT(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OIf_0) ).

cnf(cls_WT_OLocal_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))
    | ~ c_Com_OWT(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OLocal_0) ).

cnf(cls_linorder__linear_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).

cnf(cls_inf__commute_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).

cnf(cls_inf__sup__aci_I1_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_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/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_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/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).

cnf(cls_not__less__eq__eq_0,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).

cnf(cls_evalc_OWhileFalse_0,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X3)
    | hBOOL(hAPP(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OWhileFalse_0) ).

cnf(cls_com_Osimps_I27_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I27_J_0) ).

cnf(cls_com_Osimps_I45_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I45_J_0) ).

cnf(cls_com_Osimps_I52_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I52_J_0) ).

cnf(cls_com_Osimps_I33_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I33_J_0) ).

cnf(cls_com_Osimps_I51_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I51_J_0) ).

cnf(cls_com_Osimps_I61_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I61_J_0) ).

cnf(cls_com_Osimps_I23_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I23_J_0) ).

cnf(cls_com_Osimps_I34_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I34_J_0) ).

cnf(cls_com_Osimps_I38_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I38_J_0) ).

cnf(cls_com_Osimps_I26_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I26_J_0) ).

cnf(cls_com_Osimps_I32_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I32_J_0) ).

cnf(cls_com_Osimps_I22_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I22_J_0) ).

cnf(cls_com_Osimps_I44_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I44_J_0) ).

cnf(cls_com_Osimps_I50_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I50_J_0) ).

cnf(cls_com_Osimps_I35_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I35_J_0) ).

cnf(cls_com_Osimps_I53_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I53_J_0) ).

cnf(cls_com_Osimps_I60_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I60_J_0) ).

cnf(cls_com_Osimps_I39_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I39_J_0) ).

cnf(cls_nat__le__linear_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).

cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).

cnf(cls_Suc__n__not__le__n_0,axiom,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_0) ).

cnf(cls_com_Osimps_I54_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OBODY(X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I54_J_0) ).

cnf(cls_com_Osimps_I63_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OBODY(X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I63_J_0) ).

cnf(cls_com_Osimps_I40_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OBODY(X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I40_J_0) ).

cnf(cls_com_Osimps_I55_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OCond(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I55_J_0) ).

cnf(cls_com_Osimps_I62_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OCall(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I62_J_0) ).

cnf(cls_com_Osimps_I41_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OLocal(X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I41_J_0) ).

cnf(cls_com_Osimps_I15_J_0,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I15_J_0) ).

cnf(cls_com_Osimps_I21_J_0,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I21_J_0) ).

cnf(cls_com_Osimps_I11_J_0,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I11_J_0) ).

cnf(cls_com_Osimps_I14_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I14_J_0) ).

cnf(cls_com_Osimps_I20_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I20_J_0) ).

cnf(cls_com_Osimps_I10_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I10_J_0) ).

cnf(cls_evalc__elim__cases_I1_J_0,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).

cnf(cls_Int__absorb_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).

cnf(cls_Un__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

cnf(cls_bot__fun__eq_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).

cnf(cls_inf__bot__left_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).

cnf(cls_inf__bot__right_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).

cnf(cls_sup__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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_le__Suc__eq_2,axiom,
    c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__Suc__eq_2) ).

cnf(cls_inf__idem_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

cnf(cls_order__eq__iff_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

cnf(cls_evalc_OSkip_0,axiom,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).

cnf(cls_eq__imp__le_0,axiom,
    c_lessequals(X1,X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).

cnf(cls_le__refl_0,axiom,
    c_lessequals(X1,X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__refl_0) ).

cnf(cls_WTs__elim__cases_I4_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I4_J_0) ).

cnf(cls_WTs__elim__cases_I4_J_1,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I4_J_1) ).

cnf(cls_WTs__elim__cases_I6_J_0,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__elim__cases_I6_J_0) ).

cnf(cls_com_Osimps_I1_J_0,axiom,
    ( X1 = X3
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I1_J_0) ).

cnf(cls_com_Osimps_I3_J_0,axiom,
    ( X1 = X3
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).

cnf(cls_com_Osimps_I5_J_0,axiom,
    ( X1 = X3
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_0) ).

cnf(cls_com_Osimps_I1_J_1,axiom,
    ( X2 = X4
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I1_J_1) ).

cnf(cls_com_Osimps_I3_J_1,axiom,
    ( X2 = X4
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).

cnf(cls_com_Osimps_I5_J_1,axiom,
    ( X2 = X4
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I5_J_1) ).

cnf(cls_WT_OSemi_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X2)
    | ~ c_Com_OWT(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OSemi_0) ).

cnf(cls_com_Osimps_I24_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I24_J_0) ).

cnf(cls_com_Osimps_I28_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I28_J_0) ).

cnf(cls_com_Osimps_I25_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I25_J_0) ).

cnf(cls_com_Osimps_I29_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I29_J_0) ).

cnf(cls_com_Osimps_I46_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I46_J_0) ).

cnf(cls_com_Osimps_I47_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I47_J_0) ).

cnf(clsarity_fun__Orderings_Opreorder,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

cnf(clsarity_fun__HOL_Ominus,axiom,
    ( class_HOL_Ominus(tc_fun(X1,X2))
    | ~ class_HOL_Ominus(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Ominus) ).

cnf(clsarity_fun__Orderings_Oorder,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).

cnf(cls_While_0,axiom,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))
    | ~ c_Com_OWT(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_While_0) ).

cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
    ( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Odistrib__lattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).

cnf(clsarity_fun__Lattices_Olattice,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).

cnf(clsarity_fun__Orderings_Obot,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).

cnf(cls_WT_OAssign_0,axiom,
    c_Com_OWT(c_Com_Ocom_OAss(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OAssign_0) ).

cnf(cls_com_Osimps_I30_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OBODY(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I30_J_0) ).

cnf(cls_com_Osimps_I48_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OBODY(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I48_J_0) ).

cnf(cls_com_Osimps_I58_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OBODY(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I58_J_0) ).

cnf(cls_com_Osimps_I31_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OAss(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I31_J_0) ).

cnf(cls_com_Osimps_I49_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSemi(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I49_J_0) ).

cnf(cls_com_Osimps_I59_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OWhile(X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I59_J_0) ).

cnf(cls_com_Osimps_I9_J_0,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I9_J_0) ).

cnf(cls_com_Osimps_I13_J_0,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).

cnf(cls_com_Osimps_I17_J_0,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I17_J_0) ).

cnf(cls_com_Osimps_I8_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I8_J_0) ).

cnf(cls_com_Osimps_I12_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).

cnf(cls_com_Osimps_I16_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I16_J_0) ).

cnf(cls_id__apply_0,axiom,
    hAPP(c_Fun_Oid(X1),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__apply_0) ).

cnf(cls_COMBI__def_0,axiom,
    hAPP(c_COMBI(X1),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).

cnf(cls_id__def_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__def_0) ).

cnf(cls_COMBI__def__raw_0,axiom,
    hAPP(c_COMBI(t_a),v_P) = v_P,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).

cnf(cls_nat_Oinject_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Oinject_0) ).

cnf(cls_Suc__inject_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__inject_0) ).

cnf(cls_com_Osimps_I6_J_0,axiom,
    ( X1 = X2
    | c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I6_J_0) ).

cnf(cls_Suc__n__not__n_0,axiom,
    c_Suc(X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).

cnf(cls_n__not__Suc__n_0,axiom,
    X1 != c_Suc(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).

cnf(cls_com_Osimps_I19_J_0,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSKIP,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I19_J_0) ).

cnf(cls_com_Osimps_I18_J_0,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I18_J_0) ).

cnf(clsarity_nat__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

cnf(clsarity_nat__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

cnf(clsarity_nat__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Ominus) ).

cnf(clsarity_bool__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).

cnf(clsarity_nat__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).

cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).

cnf(cls_WT_OSkip_0,axiom,
    c_Com_OWT(c_Com_Ocom_OSKIP),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OSkip_0) ).

cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).

cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).

cnf(clsarity_nat__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).

cnf(clsarity_nat__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

cnf(i_0_519,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X3),X2,tc_fun(X3,tc_bool)),
    cls_insert__def_0 ).

cnf(i_0_520,axiom,
    c_Collect(X1,X2) = X1,
    cls_Collect__def_0 ).

cnf(i_0_521,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 ).

cnf(i_0_522,plain,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[i_0_519,c_0_520]) ).

cnf(i_0_523,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 ).

cnf(i_0_524,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 ).

cnf(i_0_525,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 ).

cnf(i_0_526,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 ).

cnf(i_0_527,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 ).

cnf(i_0_528,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1)))
    | ~ c_Fun_Oinj__on(X2,c_Set_Oinsert(X3,X4,X5),X5,X1) ),
    cls_inj__on__insert_1 ).

cnf(i_0_529,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),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)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    cls_inj__on__insert_2 ).

cnf(i_0_530,axiom,
    ( hAPP(X1,X2) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X4,X5))) ),
    cls_vimage__singleton__eq_0 ).

cnf(i_0_531,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Oinsert(hAPP(X3,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X1,X4))),
    cls_vimage__singleton__eq_1 ).

cnf(i_0_532,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 ).

cnf(i_0_533,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 ).

cnf(i_0_534,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 ).

cnf(i_0_535,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 ).

cnf(i_0_536,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 ).

cnf(i_0_537,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))) ),
    cls_singletonE_0 ).

cnf(i_0_538,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | X2 = X4
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1))) ),
    cls_insertE_0 ).

cnf(i_0_539,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 ).

cnf(i_0_540,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    cls_insert__code_0 ).

cnf(i_0_541,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 ).

cnf(i_0_542,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 ).

cnf(i_0_543,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 ).

cnf(i_0_544,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
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    cls_insert__Diff_0 ).

cnf(i_0_545,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
    cls_insert__inter__insert_0 ).

cnf(i_0_546,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 ).

cnf(i_0_547,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1))),
    cls_singleton__iff_1 ).

cnf(i_0_548,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
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    cls_Diff__insert__absorb_0 ).

cnf(i_0_549,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_insertCI_0 ).

cnf(i_0_550,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_insert__iff_2 ).

cnf(i_0_551,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    cls_insertCI_1 ).

cnf(i_0_552,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    cls_insertI1_0 ).

cnf(i_0_553,axiom,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X1))),
    cls_insert__iff_1 ).

cnf(i_0_554,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_insert__code_2 ).

cnf(i_0_555,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1 ).

cnf(i_0_556,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    cls_insert__absorb2_0 ).

cnf(i_0_557,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 ).

cnf(i_0_558,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 ).

cnf(i_0_559,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_Int__insert__left_0 ).

cnf(i_0_560,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    cls_Int__insert__right_0 ).

cnf(i_0_561,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    cls_insert__ident_0 ).

cnf(i_0_562,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)
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_insert__Diff__if_1 ).

cnf(i_0_563,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 ).

cnf(i_0_564,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 ).

cnf(i_0_565,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 ).

cnf(i_0_566,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 ).

cnf(i_0_567,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 ).

cnf(i_0_568,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 ).

cnf(i_0_569,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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_insert__Diff1_0 ).

cnf(i_0_570,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    cls_Int__insert__left_1 ).

cnf(i_0_571,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    cls_Int__insert__right_1 ).

cnf(i_0_572,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    cls_insert__image_0 ).

cnf(i_0_573,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_comm__monoid__add_Ononempty__iff_2 ).

cnf(i_0_574,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_insert__not__empty_0 ).

cnf(i_0_575,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    cls_empty__not__insert_0 ).

cnf(i_0_576,axiom,
    c_Collect(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X1) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    cls_singleton__conv_0 ).

cnf(i_0_577,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    cls_insert__absorb_0 ).

cnf(i_0_578,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_579,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool)))) ),
    cls_Int__Collect_0 ).

cnf(i_0_580,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,c_Collect(X1,X3),tc_fun(X3,tc_bool)))) ),
    cls_Int__Collect_1 ).

cnf(i_0_581,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Collect(X4,X1),tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_Int__Collect_2 ).

cnf(i_0_582,axiom,
    c_Collect(hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2),X1) = X2,
    cls_Collect__mem__eq_0 ).

cnf(i_0_583,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Collect(X1,X3))) ),
    cls_CollectD_0 ).

cnf(i_0_584,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Collect(X3,X1)))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_CollectI_0 ).

cnf(i_0_585,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_586,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_587,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(hAPP(X5,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X12)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    cls_com_Orecs_I5_J_0,
    [final] ).

cnf(i_0_588,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(hAPP(hAPP(X4,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X9,X11)),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    cls_com_Orecs_I4_J_0,
    [final] ).

cnf(i_0_589,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(hAPP(X3,X9),X10),X11),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X11,X12)),
    cls_com_Orecs_I3_J_0,
    [final] ).

cnf(i_0_590,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(hAPP(X6,X9),X10),c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,X10,X11)),
    cls_com_Orecs_I6_J_0,
    [final] ).

cnf(i_0_591,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCond(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X5,X9),X10),X11),
    cls_com_Osimps_I68_J_0,
    [final] ).

cnf(i_0_592,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    cls_com_Osimps_I71_J_0,
    [final] ).

cnf(i_0_593,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OLocal(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X3,X9),X10),X11),
    cls_com_Osimps_I66_J_0,
    [final] ).

cnf(i_0_594,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OCall(X9,X10,X11),X12) = hAPP(hAPP(hAPP(X8,X9),X10),X11),
    cls_com_Orecs_I8_J_0,
    [final] ).

cnf(i_0_595,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    cls_com_Osimps_I65_J_0,
    [final] ).

cnf(i_0_596,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSemi(X9,X10),X11) = hAPP(hAPP(X4,X9),X10),
    cls_com_Osimps_I67_J_0,
    [final] ).

cnf(i_0_597,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OWhile(X9,X10),X11) = hAPP(hAPP(X6,X9),X10),
    cls_com_Osimps_I69_J_0,
    [final] ).

cnf(i_0_598,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OAss(X9,X10),X11) = hAPP(hAPP(X2,X9),X10),
    cls_com_Orecs_I2_J_0,
    [final] ).

cnf(i_0_599,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10) = hAPP(X7,X9),
    cls_com_Osimps_I70_J_0,
    [final] ).

cnf(i_0_600,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OBODY(X9),X10) = hAPP(X7,X9),
    cls_com_Orecs_I7_J_0,
    [final] ).

cnf(i_0_601,axiom,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    cls_com_Osimps_I64_J_0,
    [final] ).

cnf(i_0_602,axiom,
    c_Com_Ocom_Ocom__rec(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    cls_com_Orecs_I1_J_0,
    [final] ).

cnf(i_0_603,axiom,
    ( c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4) ),
    cls_complete__lattice_Odual__complete__lattice_0,
    [final] ).

cnf(i_0_604,plain,
    ( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),X3)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_521,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_605,plain,
    ( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),X3)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_523,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_606,plain,
    ( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))) = X2
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X5,X6,X7,X8,X9,X10,X3) ),
    inference(rw,[status(thm)],[i_0_524,c_0_522]),
    [final] ).

cnf(i_0_607,plain,
    ( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))) = X2
    | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X1,X5,X6,X7,X8,X9,X10,X3) ),
    inference(rw,[status(thm)],[i_0_525,c_0_522]),
    [final] ).

cnf(i_0_608,plain,
    ( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X6,X7,X8,X5,X9,X10,X11,X4) ),
    inference(rw,[status(thm)],[i_0_526,c_0_522]),
    [final] ).

cnf(i_0_609,plain,
    ( hAPP(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool))) = hAPP(hAPP(X5,X2),hAPP(X1,X3))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X6,X1,X7,X8,X9,X5,X10,X11,X4) ),
    inference(rw,[status(thm)],[i_0_527,c_0_522]),
    [final] ).

cnf(i_0_610,axiom,
    ( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
    cls_complete__lattice_OInf__lower_0,
    [final] ).

cnf(i_0_611,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),hAPP(X3,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X6,X3,X1,X7,X8,X9,X10,X11,X5) ),
    cls_complete__lattice_OSup__upper_0,
    [final] ).

cnf(i_0_612,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_613,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_614,plain,
    ( ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),X4,tc_fun(X5,tc_bool)),X5,X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_HOL_Ominus__class_Ominus(X4,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X5,X1))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_528,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_615,plain,
    ( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X4,X5)
    | hBOOL(hAPP(hAPP(c_in(X5),hAPP(X1,X2)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_529,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_616,plain,
    ( hAPP(X1,X2) = X3
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X4,X5))) ),
    inference(rw,[status(thm)],[i_0_530,c_0_522]),
    [final] ).

cnf(i_0_617,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)
    | ~ c_Natural_Oevaln(X3,X4,X7,X6)
    | ~ c_Natural_Oevaln(X1,X2,X8,X5) ),
    cls_evaln__max2_0,
    [final] ).

cnf(i_0_618,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)
    | ~ c_Natural_Oevaln(X1,X2,X7,X6)
    | ~ c_Natural_Oevaln(X3,X4,X8,X5) ),
    cls_evaln__max2_1,
    [final] ).

cnf(i_0_619,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X4,X5,X1)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,X3,X5,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X6))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X6),hAPP(X3,X7)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X7),X2)) ),
    cls_bex__UN_3,
    [final] ).

cnf(i_0_620,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X1,X4))),
    inference(rw,[status(thm)],[i_0_531,c_0_522]),
    [final] ).

cnf(i_0_621,plain,
    ( X1 = X5
    | X1 = X4
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_532,c_0_522]),c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_622,plain,
    ( X2 = X4
    | X1 = X4
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_533,c_0_522]),c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_623,plain,
    ( X2 = X5
    | X1 = X5
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_534,c_0_522]),c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_624,plain,
    ( X2 = X5
    | X2 = X4
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_535,c_0_522]),c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_625,plain,
    c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_536,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_626,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastLessThan(X5,X1,X6,X3,X4))) ),
    cls_ord_OatLeastLessThan__iff_1,
    [final] ).

cnf(i_0_627,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastLessThan(X1,X5,X2,X6,X4))) ),
    cls_ord_OatLeastLessThan__iff_0,
    [final] ).

cnf(i_0_628,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)))) ),
    inference(rw,[status(thm)],[i_0_537,c_0_522]),
    [final] ).

cnf(i_0_629,plain,
    ( X2 = X4
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X4),X3,tc_fun(X1,tc_bool)))) ),
    inference(rw,[status(thm)],[i_0_538,c_0_522]),
    [final] ).

cnf(i_0_630,axiom,
    c_Fun_Ofcomp(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6,X3,X5,X7) = c_Fun_Ofcomp(X1,c_Fun_Ofcomp(X2,X6,X4,X5,X7),X3,X4,X7),
    cls_fcomp__assoc_0,
    [final] ).

cnf(i_0_631,axiom,
    c_Fun_Ocomp(X1,c_Fun_Ocomp(X2,X3,X4,X5,X6),X5,X7,X6) = c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X5,X7,X4),X3,X4,X7,X6),
    cls_o__assoc_0,
    [final] ).

cnf(i_0_632,plain,
    c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_539,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_633,plain,
    ( X2 = X3
    | hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X1,tc_fun(X4,tc_bool)),X2)) ),
    inference(rw,[status(thm)],[i_0_540,c_0_522]),
    [final] ).

cnf(i_0_634,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_HOL_Ominus__class_Ominus(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_541,c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_635,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_542,c_0_522]),c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_636,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_543,c_0_522]),c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_637,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_HOL_Ominus__class_Ominus(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_544,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_638,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_545,c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_639,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(X2,X3,X1,X4,X5)))
    | ~ hBOOL(hAPP(X1,X6))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X6),hAPP(X3,X7)))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X7),X2)) ),
    cls_bex__UN_4,
    [final] ).

cnf(i_0_640,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastLessThan(X3,X4,X5,X6,X1)))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X6))
    | ~ hBOOL(hAPP(hAPP(X3,X5),X2)) ),
    cls_ord_OatLeastLessThan__iff_2,
    [final] ).

cnf(i_0_641,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6)
    | hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6)) ),
    cls_comp__cong_0,
    [final] ).

cnf(i_0_642,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6) ),
    cls_inj__on__imageI_0,
    [final] ).

cnf(i_0_643,plain,
    c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_546,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_644,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)))),
    inference(rw,[status(thm)],[i_0_547,c_0_522]),
    [final] ).

cnf(i_0_645,plain,
    ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_548,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_646,axiom,
    hAPP(c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,tc_bool))),
    cls_inf__Int__eq_0,
    [final] ).

cnf(i_0_647,axiom,
    hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X1),hAPP(c_COMBC(c_in(t_a),t_a,tc_fun(t_a,tc_bool),tc_bool),X2),tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,tc_bool))),
    cls_sup__Un__eq_0,
    [final] ).

cnf(i_0_648,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(rw,[status(thm)],[i_0_549,c_0_522]),
    [final] ).

cnf(i_0_649,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    inference(rw,[status(thm)],[i_0_550,c_0_522]),
    [final] ).

cnf(i_0_650,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rw,[status(thm)],[i_0_551,c_0_522]),
    [final] ).

cnf(i_0_651,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rw,[status(thm)],[i_0_552,c_0_522]),
    [final] ).

cnf(i_0_652,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rw,[status(thm)],[i_0_553,c_0_522]),
    [final] ).

cnf(i_0_653,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    inference(rw,[status(thm)],[i_0_554,c_0_522]),
    [final] ).

cnf(i_0_654,plain,
    hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X1)),
    inference(rw,[status(thm)],[i_0_555,c_0_522]),
    [final] ).

cnf(i_0_655,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_556,c_0_522]),c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_656,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X2,X6,X5,X3) ),
    cls_comp__inj__on_0,
    [final] ).

cnf(i_0_657,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X5),X2,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(rw,[status(thm)],[i_0_557,c_0_522]),
    [final] ).

cnf(i_0_658,plain,
    c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),hAPP(X1,X2)),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_558,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_659,axiom,
    ( hAPP(X1,hAPP(X2,X9)) = hAPP(X6,hAPP(X7,X9))
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(X6,X7,X8,X4,X5) ),
    cls_o__eq__dest_0,
    [final] ).

cnf(i_0_660,axiom,
    ( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
    cls_inj__on__Un_3,
    [final] ).

cnf(i_0_661,axiom,
    ( hAPP(X1,hAPP(X2,X7)) = hAPP(X6,X7)
    | c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5) ),
    cls_o__eq__id__dest_0,
    [final] ).

cnf(i_0_662,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_559,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_663,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_560,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_664,plain,
    ( X2 = X4
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X4,tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_561,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_665,plain,
    ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_562,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_666,plain,
    ( X1 = X3
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_563,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_667,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_564,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_668,plain,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_565,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_669,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_566,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_670,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Oimage(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4),
    cls_image__compose_0,
    [final] ).

cnf(i_0_671,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) = c_Set_Ovimage(X2,c_Set_Ovimage(X1,X6,X3,X4),X5,X3),
    cls_vimage__compose_0,
    [final] ).

cnf(i_0_672,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
    | ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3))) ),
    cls_ball__conj__distrib_2,
    [final] ).

cnf(i_0_673,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)))
    | ~ hBOOL(hAPP(X5,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3))) ),
    cls_ball__conj__distrib_3,
    [final] ).

cnf(i_0_674,plain,
    c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),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)),
    inference(rw,[status(thm)],[i_0_567,c_0_522]),
    [final] ).

cnf(i_0_675,axiom,
    ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
    | ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
    cls_SUP2__I_0,
    [final] ).

cnf(i_0_676,axiom,
    ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2,X3,tc_fun(X4,tc_fun(X5,tc_bool))),X6),X7))
    | ~ hBOOL(hAPP(hAPP(hAPP(X2,X8),X6),X7))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X8),X1)) ),
    cls_SUP2__iff_2,
    [final] ).

cnf(i_0_677,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),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)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X1),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_568,c_0_522]),c_0_522]),
    [final] ).

cnf(i_0_678,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X2)) ),
    cls_bex__Un_4,
    [final] ).

cnf(i_0_679,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X4,X1)),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X5),X3)) ),
    cls_bex__Un_6,
    [final] ).

cnf(i_0_680,plain,
    ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    inference(rw,[status(thm)],[i_0_569,c_0_522]),
    [final] ).

cnf(i_0_681,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
    inference(rw,[status(thm)],[i_0_570,c_0_522]),
    [final] ).

cnf(i_0_682,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X2),X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),X1)) ),
    inference(rw,[status(thm)],[i_0_571,c_0_522]),
    [final] ).

cnf(i_0_683,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,X3,X4,X5),X6) = hAPP(X2,hAPP(X1,X6)),
    cls_fcomp__apply_0,
    [final] ).

cnf(i_0_684,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
    cls_o__apply_0,
    [final] ).

cnf(i_0_685,axiom,
    hAPP(X1,hAPP(X2,X3)) = hAPP(c_Fun_Ocomp(X1,X2,X4,X5,X6),X3),
    cls_o__eq__dest__lhs_0,
    [final] ).

cnf(i_0_686,axiom,
    hAPP(c_Fun_Ofcomp(X1,X2,t_a,X3,X4),v_x) = hAPP(X2,hAPP(X1,v_x)),
    cls_fcomp__def_0,
    [final] ).

cnf(i_0_687,axiom,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,t_a),v_x) = hAPP(X1,hAPP(X2,v_x)),
    cls_o__def_0,
    [final] ).

cnf(i_0_688,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    cls_inj__on__Un_2,
    [final] ).

cnf(i_0_689,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X1,X5,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
    cls_ball__conj__distrib_0,
    [final] ).

cnf(i_0_690,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(hAPP(c_in(X3),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(X4,X5,X1,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
    cls_ball__conj__distrib_1,
    [final] ).

cnf(i_0_691,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),hAPP(X1,X2)),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    inference(rw,[status(thm)],[i_0_572,c_0_522]),
    [final] ).

cnf(i_0_692,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__Int__crazy_0,
    [final] ).

cnf(i_0_693,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    cls_vimageD_0,
    [final] ).

cnf(i_0_694,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    cls_vimageE_0,
    [final] ).

cnf(i_0_695,plain,
    ( hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[i_0_573,c_0_522]),
    [final] ).

cnf(i_0_696,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X5,X3,X4))) ),
    cls_ord_OatLeastAtMost__iff_1,
    [final] ).

cnf(i_0_697,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OatLeastAtMost(X1,X2,X5,X4))) ),
    cls_ord_OatLeastAtMost__iff_0,
    [final] ).

cnf(i_0_698,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rw,[status(thm)],[i_0_574,c_0_522]),
    [final] ).

cnf(i_0_699,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),
    inference(rw,[status(thm)],[i_0_575,c_0_522]),
    [final] ).

cnf(i_0_700,axiom,
    ( X2 = X3
    | hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) != hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X3) ),
    cls_pred__equals__eq_0,
    [final] ).

cnf(i_0_701,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_702,plain,
    hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_576,c_0_520]),c_0_522]),
    [final] ).

cnf(i_0_703,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
    cls_UN__I_0,
    [final] ).

cnf(i_0_704,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X5,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(X4,X6)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X6),X3)) ),
    cls_UN__iff_2,
    [final] ).

cnf(i_0_705,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_706,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_707,axiom,
    c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    cls_vimage__Int_0,
    [final] ).

cnf(i_0_708,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_709,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_710,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ c_Natural_Oevaln(X4,X5,X6,X3)
    | ~ hBOOL(hAPP(hAPP(X7,X2),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X7,X4,X1,t_a),t_a) ),
    cls_triple__valid__def2_0,
    [final] ).

cnf(i_0_711,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    cls_vimageI_0,
    [final] ).

cnf(i_0_712,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    cls_vimageI2_0,
    [final] ).

cnf(i_0_713,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,X4,X1,X5)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),hAPP(X3,X2)),X4)) ),
    cls_vimage__eq_1,
    [final] ).

cnf(i_0_714,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_715,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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    cls_SUP1__I_0,
    [final] ).

cnf(i_0_716,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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X6),X1)) ),
    cls_SUP1__iff_2,
    [final] ).

cnf(i_0_717,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    cls_imageI_0,
    [final] ).

cnf(i_0_718,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    cls_image__eqI_0,
    [final] ).

cnf(i_0_719,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_image__iff_2,
    [final] ).

cnf(i_0_720,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4)))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_rev__image__eqI_0,
    [final] ).

cnf(i_0_721,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X5))
    | ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    cls_ord_OatLeastAtMost__iff_2,
    [final] ).

cnf(i_0_722,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X1),X2,tc_fun(X3,tc_bool)) = X2
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2)) ),
    inference(rw,[status(thm)],[i_0_577,c_0_522]),
    [final] ).

cnf(i_0_723,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
    cls_bex__Un_5,
    [final] ).

cnf(i_0_724,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(X2,X3,X1,X4)))
    | ~ hBOOL(hAPP(X1,X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X3)) ),
    cls_bex__Un_7,
    [final] ).

cnf(i_0_725,axiom,
    c_Fun_Ofcomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    cls_id__fcomp_0,
    [final] ).

cnf(i_0_726,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    cls_id__o_0,
    [final] ).

cnf(i_0_727,axiom,
    c_Fun_Ofcomp(X1,c_Fun_Oid(X2),X3,X2,X2) = X1,
    cls_fcomp__id_0,
    [final] ).

cnf(i_0_728,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2) = X1,
    cls_o__id_0,
    [final] ).

cnf(i_0_729,plain,
    hAPP(c_fequal(X1),X2) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_578,c_0_520]),c_0_522]),
    [final] ).

cnf(i_0_730,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_731,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X6,X4,X5)
    | ~ c_Natural_Oevaln(X2,X3,X4,X6)
    | ~ hBOOL(hAPP(X1,X3)) ),
    cls_evaln_OWhileTrue_0,
    [final] ).

cnf(i_0_732,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))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3)) ),
    cls_UN__absorb_0,
    [final] ).

cnf(i_0_733,axiom,
    hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
    cls_COMBC__def_0,
    [final] ).

cnf(i_0_734,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | c_Natural_Oevaln(X5,X2,X3,X4)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X6,X5,X1),X2,X3,X4) ),
    cls_evaln__elim__cases_I5_J_2,
    [final] ).

cnf(i_0_735,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(X2,X6,X4,X5)
    | ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
    cls_evaln_OSemi_0,
    [final] ).

cnf(i_0_736,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_distrib__inf__le_0,
    [final] ).

cnf(i_0_737,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_distrib__sup__le_0,
    [final] ).

cnf(i_0_738,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_739,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_740,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X4,X3,tc_fun(X1,tc_bool)))) ),
    cls_UnE_0,
    [final] ).

cnf(i_0_741,axiom,
    ( c_Natural_Oevaln(X3,X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X6),X2,X4,X5) ),
    cls_evaln__elim__cases_I5_J_1,
    [final] ).

cnf(i_0_742,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | hBOOL(hAPP(X5,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X5,X6,X1),X2,X3,X4) ),
    cls_evaln__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_743,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)))) ),
    cls_DiffE_1,
    [final] ).

cnf(i_0_744,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | ~ c_Natural_Oevaln(X2,X4,X5,X6)
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_evaln_OIfTrue_0,
    [final] ).

cnf(i_0_745,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_746,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_747,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_748,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_749,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X2,X3),X4,X5,X6)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevaln(X3,X4,X5,X6) ),
    cls_evaln_OIfFalse_0,
    [final] ).

cnf(i_0_750,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ c_Fun_Oinj__on(X1,X4,X5,X6)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X2),X4)) ),
    cls_inj__onD_0,
    [final] ).

cnf(i_0_751,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    cls_inj__on__def_0,
    [final] ).

cnf(i_0_752,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    cls_inj__on__iff_0,
    [final] ).

cnf(i_0_753,axiom,
    ( X2 = X3
    | hAPP(X1,X2) != hAPP(X1,X3)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X5))
    | ~ c_Fun_Oinj__on(X1,X5,X4,X6) ),
    cls_inj__on__contraD_0,
    [final] ).

cnf(i_0_754,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))) ),
    cls_IntE_0,
    [final] ).

cnf(i_0_755,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)))) ),
    inference(rw,[status(thm)],[i_0_579,c_0_520]),
    [final] ).

cnf(i_0_756,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)))) ),
    cls_IntE_1,
    [final] ).

cnf(i_0_757,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool)))) ),
    cls_DiffE_0,
    [final] ).

cnf(i_0_758,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X3,X1)),X2))
    | ~ hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
    cls_rev__bexI_0,
    [final] ).

cnf(i_0_759,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X3,X1)),X2))
    | ~ hBOOL(hAPP(X3,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
    cls_bexE_0,
    [final] ).

cnf(i_0_760,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X3,X1)),X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
    | ~ hBOOL(hAPP(X3,X4)) ),
    cls_bexI_0,
    [final] ).

cnf(i_0_761,axiom,
    ( c_lessequals(hAPP(X2,X3),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,X2,X5,X1),X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),X4)) ),
    cls_le__SUPI_0,
    [final] ).

cnf(i_0_762,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_IntI_0,
    [final] ).

cnf(i_0_763,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_Int__iff_2,
    [final] ).

cnf(i_0_764,axiom,
    ( hBOOL(hAPP(X4,X2))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_ballE_0,
    [final] ).

cnf(i_0_765,axiom,
    ( c_Natural_Oevaln(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X3,tc_nat)
    | ~ c_Natural_Oevaln(X1,X2,X5,X4) ),
    cls_evaln__nonstrict_0,
    [final] ).

cnf(i_0_766,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_767,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_768,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_769,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_DiffI_0,
    [final] ).

cnf(i_0_770,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_Diff__iff_2,
    [final] ).

cnf(i_0_771,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)))) ),
    inference(rw,[status(thm)],[i_0_580,c_0_520]),
    [final] ).

cnf(i_0_772,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))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X5),X1)) ),
    cls_UNION__empty__conv_I2_J_0,
    [final] ).

cnf(i_0_773,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))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X5),X2)) ),
    cls_UNION__empty__conv_I1_J_0,
    [final] ).

cnf(i_0_774,axiom,
    ( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    cls_evaln__Suc_0,
    [final] ).

cnf(i_0_775,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(rw,[status(thm)],[i_0_581,c_0_520]),
    [final] ).

cnf(i_0_776,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
    cls_Diff__Int2_0,
    [final] ).

cnf(i_0_777,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(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_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Int__Un__distrib2_0,
    [final] ).

cnf(i_0_778,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Diff__Int__distrib2_0,
    [final] ).

cnf(i_0_779,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Un__Int__distrib2_0,
    [final] ).

cnf(i_0_780,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_781,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(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(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Int__Un__distrib_0,
    [final] ).

cnf(i_0_782,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Diff__Int__distrib_0,
    [final] ).

cnf(i_0_783,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Un__Int__distrib_0,
    [final] ).

cnf(i_0_784,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Diff__Int_0,
    [final] ).

cnf(i_0_785,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)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Diff__Un_0,
    [final] ).

cnf(i_0_786,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_787,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
    cls_ord_OlessThan__iff_0,
    [final] ).

cnf(i_0_788,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
    cls_ord_OatMost__iff_0,
    [final] ).

cnf(i_0_789,axiom,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
    cls_ord_OgreaterThan__iff_0,
    [final] ).

cnf(i_0_790,axiom,
    ( hBOOL(hAPP(X4,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1))) ),
    cls_ballE_1,
    [final] ).

cnf(i_0_791,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    cls_UnCI_1,
    [final] ).

cnf(i_0_792,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4)) ),
    cls_UnCI_0,
    [final] ).

cnf(i_0_793,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
    cls_hoare__valids__def_0,
    [final] ).

cnf(i_0_794,plain,
    hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) = X2,
    inference(rw,[status(thm)],[i_0_582,c_0_520]),
    [final] ).

cnf(i_0_795,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    cls_inf1E_0,
    [final] ).

cnf(i_0_796,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    cls_inf1E_1,
    [final] ).

cnf(i_0_797,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    cls_disjoint__iff__not__equal_0,
    [final] ).

cnf(i_0_798,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3)),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3)) ),
    cls_triples__valid__Suc_0,
    [final] ).

cnf(i_0_799,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X4,X1),t_a)
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X4,X3,t_a) ),
    cls_hoare__valids__def_1,
    [final] ).

cnf(i_0_800,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X4),X2,X5,X3) ),
    cls_evaln__WHILE__case_0,
    [final] ).

cnf(i_0_801,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Int__assoc_0,
    [final] ).

cnf(i_0_802,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_803,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Int__Diff_0,
    [final] ).

cnf(i_0_804,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Int__left__commute_0,
    [final] ).

cnf(i_0_805,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_806,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X2,X1,X3)))
    | ~ hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    cls_rev__bexI_1,
    [final] ).

cnf(i_0_807,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexE__1__1(X2,X1,X3)))
    | ~ hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2)) ),
    cls_bexE_1,
    [final] ).

cnf(i_0_808,axiom,
    ( hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Set__XbexI__1__1(X2,X1,X3)))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X4),X2))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_bexI_1,
    [final] ).

cnf(i_0_809,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_810,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_811,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
    cls_ord_OlessThan__iff_1,
    [final] ).

cnf(i_0_812,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OgreaterThan(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    cls_ord_OgreaterThan__iff_1,
    [final] ).

cnf(i_0_813,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(X3,X4,X1)))
    | ~ hBOOL(hAPP(hAPP(X3,X2),X4)) ),
    cls_ord_OatMost__iff_1,
    [final] ).

cnf(i_0_814,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    cls_eval__eq_1,
    [final] ).

cnf(i_0_815,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    cls_evaln__evalc_0,
    [final] ).

cnf(i_0_816,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_inf__sup__distrib2_0,
    [final] ).

cnf(i_0_817,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_sup__inf__distrib2_0,
    [final] ).

cnf(i_0_818,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_inf__sup__distrib1_0,
    [final] ).

cnf(i_0_819,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    cls_sup__inf__distrib1_0,
    [final] ).

cnf(i_0_820,axiom,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_inf1I_0,
    [final] ).

cnf(i_0_821,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X2),X3))
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X1,X3),t_a) ),
    cls_triples__valid__Suc_1,
    [final] ).

cnf(i_0_822,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
    cls_evaln__elim__cases_I1_J_0,
    [final] ).

cnf(i_0_823,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    cls_Un__Diff__Int_0,
    [final] ).

cnf(i_0_824,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_825,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_826,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    cls_bex__empty_0,
    [final] ).

cnf(i_0_827,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | c_Natural_Oevalc(X4,X2,X3)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X5,X4,X1),X2,X3) ),
    cls_evalc__elim__cases_I5_J_2,
    [final] ).

cnf(i_0_828,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
    cls_ball__empty_0,
    [final] ).

cnf(i_0_829,axiom,
    ( c_Natural_Oevalc(X3,X2,X4)
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X5),X2,X4) ),
    cls_evalc__elim__cases_I5_J_1,
    [final] ).

cnf(i_0_830,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X4)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X5,X4)
    | ~ c_Natural_Oevalc(X2,X3,X5)
    | ~ hBOOL(hAPP(X1,X3)) ),
    cls_evalc_OWhileTrue_0,
    [final] ).

cnf(i_0_831,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_832,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_833,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_834,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__infI_0,
    [final] ).

cnf(i_0_835,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),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_836,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_inf__greatest_0,
    [final] ).

cnf(i_0_837,axiom,
    ( c_Natural_Oevalc(X1,X2,X3)
    | hBOOL(hAPP(X4,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X4,X5,X1),X2,X3) ),
    cls_evalc__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_838,axiom,
    ( c_Hoare__Mirabelle_Ohoare__valids(X1,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X1,X2),X3,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X3),X1)) ),
    cls_hoare__valids__def_2,
    [final] ).

cnf(i_0_839,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    cls_emptyE_0,
    [final] ).

cnf(i_0_840,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    cls_empty__iff_0,
    [final] ).

cnf(i_0_841,axiom,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    cls_ex__in__conv_0,
    [final] ).

cnf(i_0_842,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__assoc_0,
    [final] ).

cnf(i_0_843,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I2_J_0,
    [final] ).

cnf(i_0_844,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_845,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_846,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__left__commute_0,
    [final] ).

cnf(i_0_847,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I3_J_0,
    [final] ).

cnf(i_0_848,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_849,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_850,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_851,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_852,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_853,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_854,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_855,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_856,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_857,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_858,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_859,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    cls_le__inf__iff_0,
    [final] ).

cnf(i_0_860,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    cls_le__infE_0,
    [final] ).

cnf(i_0_861,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    cls_le__inf__iff_1,
    [final] ).

cnf(i_0_862,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    cls_le__infE_1,
    [final] ).

cnf(i_0_863,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_864,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_865,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
    cls_Int__left__absorb_0,
    [final] ).

cnf(i_0_866,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_867,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_868,axiom,
    ( c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X2),X3,X4,X3)
    | hBOOL(hAPP(X1,X3)) ),
    cls_evaln_OWhileFalse_0,
    [final] ).

cnf(i_0_869,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_870,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
    | ~ c_Natural_Oevalc(X2,X4,X5)
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_evalc_OIfTrue_0,
    [final] ).

cnf(i_0_871,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X2,X3),X4,X5)
    | hBOOL(hAPP(X1,X4))
    | ~ c_Natural_Oevalc(X3,X4,X5) ),
    cls_evalc_OIfFalse_0,
    [final] ).

cnf(i_0_872,axiom,
    ( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__fun__eq_0,
    [final] ).

cnf(i_0_873,axiom,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(t_a,X1)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_sup__fun__eq_0,
    [final] ).

cnf(i_0_874,axiom,
    ( hAPP(c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(t_a,X1)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X2,v_x),hAPP(X3,v_x),X1)
    | ~ class_HOL_Ominus(X1) ),
    cls_fun__diff__def_0,
    [final] ).

cnf(i_0_875,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_Diff__disjoint_0,
    [final] ).

cnf(i_0_876,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__infI1_0,
    [final] ).

cnf(i_0_877,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_le__infI2_0,
    [final] ).

cnf(i_0_878,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_879,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_880,axiom,
    c_Set_Oimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    cls_image__id_0,
    [final] ).

cnf(i_0_881,axiom,
    c_Set_Oimage(c_COMBI(X1),X2,X1,X1) = X2,
    cls_image__ident_0,
    [final] ).

cnf(i_0_882,axiom,
    c_Set_Ovimage(c_Fun_Oid(X1),X2,X1,X1) = X2,
    cls_vimage__id_0,
    [final] ).

cnf(i_0_883,axiom,
    c_Set_Ovimage(c_COMBI(X1),X2,X1,X1) = X2,
    cls_vimage__ident_0,
    [final] ).

cnf(i_0_884,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1),
    cls_inj__on__id_0,
    [final] ).

cnf(i_0_885,axiom,
    c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
    cls_inj__on__id2_0,
    [final] ).

cnf(i_0_886,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
    | ~ c_Natural_Oevalc(X2,X5,X4)
    | ~ c_Natural_Oevalc(X1,X3,X5) ),
    cls_evalc_OSemi_0,
    [final] ).

cnf(i_0_887,negated_conjecture,
    ( c_Hoare__Mirabelle_Otriple__valid(v_n,X1,t_a)
    | ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_Ga)) ),
    cls_conjecture_3,
    [final] ).

cnf(i_0_888,axiom,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    cls_evaln_OSkip_0,
    [final] ).

cnf(i_0_889,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_Diff__triv_0,
    [final] ).

cnf(i_0_890,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
    cls_conjecture_1,
    [final] ).

cnf(i_0_891,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_892,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_893,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__left__idem_0,
    [final] ).

cnf(i_0_894,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I4_J_0,
    [final] ).

cnf(i_0_895,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_896,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_897,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X3,X2,tc_nat)
    | ~ c_lessequals(X1,X3,tc_nat) ),
    cls_le__trans_0,
    [final] ).

cnf(i_0_898,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    cls_bot1E_0,
    [final] ).

cnf(i_0_899,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_900,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    cls_mem__def_0,
    [final] ).

cnf(i_0_901,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
    inference(rw,[status(thm)],[i_0_583,c_0_520]),
    [final] ).

cnf(i_0_902,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_903,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_904,axiom,
    ( c_Com_OWT(c_Com_Ocom_OBODY(X1))
    | ~ c_Com_OWT(c_Com_Ocom_OCall(X2,X1,X3)) ),
    cls_WTs__elim__cases_I8_J_0,
    [final] ).

cnf(i_0_905,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_906,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_907,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_908,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_909,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_910,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X1,X3)) ),
    cls_WTs__elim__cases_I5_J_0,
    [final] ).

cnf(i_0_911,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OCond(X2,X3,X1)) ),
    cls_WTs__elim__cases_I5_J_1,
    [final] ).

cnf(i_0_912,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OLocal(X2,X3,X1)) ),
    cls_WTs__elim__cases_I3_J_0,
    [final] ).

cnf(i_0_913,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
    cls_not__less__eq__eq_1,
    [final] ).

cnf(i_0_914,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevalc(X3,X4,X1)
    | ~ c_Natural_Oevalc(X3,X4,X2) ),
    cls_com__det_0,
    [final] ).

cnf(i_0_915,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    cls_com_Osimps_I4_J_0,
    [final] ).

cnf(i_0_916,axiom,
    ( X1 = X4
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    cls_com_Osimps_I7_J_0,
    [final] ).

cnf(i_0_917,axiom,
    ( X1 = X4
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    cls_com_Osimps_I2_J_0,
    [final] ).

cnf(i_0_918,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    cls_com_Osimps_I4_J_1,
    [final] ).

cnf(i_0_919,axiom,
    ( X2 = X5
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    cls_com_Osimps_I7_J_1,
    [final] ).

cnf(i_0_920,axiom,
    ( X2 = X5
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    cls_com_Osimps_I2_J_1,
    [final] ).

cnf(i_0_921,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6) ),
    cls_com_Osimps_I4_J_2,
    [final] ).

cnf(i_0_922,axiom,
    ( X3 = X6
    | c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6) ),
    cls_com_Osimps_I7_J_2,
    [final] ).

cnf(i_0_923,axiom,
    ( X3 = X6
    | c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6) ),
    cls_com_Osimps_I2_J_2,
    [final] ).

cnf(i_0_924,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    cls_com_Osimps_I56_J_0,
    [final] ).

cnf(i_0_925,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    cls_com_Osimps_I37_J_0,
    [final] ).

cnf(i_0_926,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    cls_com_Osimps_I57_J_0,
    [final] ).

cnf(i_0_927,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCond(X4,X5,X6),
    cls_com_Osimps_I36_J_0,
    [final] ).

cnf(i_0_928,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OLocal(X4,X5,X6),
    cls_com_Osimps_I43_J_0,
    [final] ).

cnf(i_0_929,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OCall(X4,X5,X6),
    cls_com_Osimps_I42_J_0,
    [final] ).

cnf(i_0_930,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_le__antisym_0,
    [final] ).

cnf(i_0_931,axiom,
    ( X1 = X2
    | ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
    cls_ATP__Linkup_Ofequal__imp__equal_0,
    [final] ).

cnf(i_0_932,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__absorb_0,
    [final] ).

cnf(i_0_933,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
    | ~ class_Lattices_Olattice(X1) ),
    cls_sup__inf__absorb_0,
    [final] ).

cnf(i_0_934,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le1_0,
    [final] ).

cnf(i_0_935,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I1_J_0,
    [final] ).

cnf(i_0_936,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le2_0,
    [final] ).

cnf(i_0_937,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I2_J_0,
    [final] ).

cnf(i_0_938,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_939,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_940,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_941,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_942,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X4),X2,X3) ),
    cls_evalc__WHILE__case_0,
    [final] ).

cnf(i_0_943,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    cls_Suc__le__mono_0,
    [final] ).

cnf(i_0_944,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(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_Int__empty__left_0,
    [final] ).

cnf(i_0_945,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_946,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_Int__empty__right_0,
    [final] ).

cnf(i_0_947,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
    cls_Int__commute_0,
    [final] ).

cnf(i_0_948,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_949,axiom,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_mem__def_1,
    [final] ).

cnf(i_0_950,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(rw,[status(thm)],[i_0_584,c_0_520]),
    [final] ).

cnf(i_0_951,axiom,
    ( X1 = c_Suc(X2)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    cls_le__SucE_0,
    [final] ).

cnf(i_0_952,axiom,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X1),X2,X3) ),
    cls_triple__valid__Suc_0,
    [final] ).

cnf(i_0_953,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
    cls_le__iff__inf_1,
    [final] ).

cnf(i_0_954,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_955,axiom,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_Suc__le__mono_1,
    [final] ).

cnf(i_0_956,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__inf_0,
    [final] ).

cnf(i_0_957,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_inf__absorb2_0,
    [final] ).

cnf(i_0_958,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_959,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_960,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool))),
    cls_bot__empty__eq_0,
    [final] ).

cnf(i_0_961,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    cls_Suc__leD_0,
    [final] ).

cnf(i_0_962,axiom,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    cls_le__SucI_0,
    [final] ).

cnf(i_0_963,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_964,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_965,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_966,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCall(X1,X2,X3))
    | ~ c_Com_OWT(c_Com_Ocom_OBODY(X2)) ),
    cls_WT_OCall_0,
    [final] ).

cnf(i_0_967,axiom,
    ( c_Com_OWT(c_Com_Ocom_OCond(X1,X2,X3))
    | ~ c_Com_OWT(X3)
    | ~ c_Com_OWT(X2) ),
    cls_WT_OIf_0,
    [final] ).

cnf(i_0_968,axiom,
    ( c_Com_OWT(c_Com_Ocom_OLocal(X1,X2,X3))
    | ~ c_Com_OWT(X3) ),
    cls_WT_OLocal_0,
    [final] ).

cnf(i_0_969,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_970,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__commute_0,
    [final] ).

cnf(i_0_971,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I1_J_0,
    [final] ).

cnf(i_0_972,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_973,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_974,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    cls_not__less__eq__eq_0,
    [final] ).

cnf(i_0_975,axiom,
    ( c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X2),X3,X3)
    | hBOOL(hAPP(X1,X3)) ),
    cls_evalc_OWhileFalse_0,
    [final] ).

cnf(i_0_976,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    cls_com_Osimps_I27_J_0,
    [final] ).

cnf(i_0_977,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    cls_com_Osimps_I45_J_0,
    [final] ).

cnf(i_0_978,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    cls_com_Osimps_I52_J_0,
    [final] ).

cnf(i_0_979,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    cls_com_Osimps_I33_J_0,
    [final] ).

cnf(i_0_980,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    cls_com_Osimps_I51_J_0,
    [final] ).

cnf(i_0_981,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    cls_com_Osimps_I61_J_0,
    [final] ).

cnf(i_0_982,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OAss(X4,X5),
    cls_com_Osimps_I23_J_0,
    [final] ).

cnf(i_0_983,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSemi(X4,X5),
    cls_com_Osimps_I34_J_0,
    [final] ).

cnf(i_0_984,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OWhile(X4,X5),
    cls_com_Osimps_I38_J_0,
    [final] ).

cnf(i_0_985,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    cls_com_Osimps_I26_J_0,
    [final] ).

cnf(i_0_986,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    cls_com_Osimps_I32_J_0,
    [final] ).

cnf(i_0_987,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    cls_com_Osimps_I22_J_0,
    [final] ).

cnf(i_0_988,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    cls_com_Osimps_I44_J_0,
    [final] ).

cnf(i_0_989,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    cls_com_Osimps_I50_J_0,
    [final] ).

cnf(i_0_990,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    cls_com_Osimps_I35_J_0,
    [final] ).

cnf(i_0_991,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCond(X3,X4,X5),
    cls_com_Osimps_I53_J_0,
    [final] ).

cnf(i_0_992,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OCall(X3,X4,X5),
    cls_com_Osimps_I60_J_0,
    [final] ).

cnf(i_0_993,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OLocal(X3,X4,X5),
    cls_com_Osimps_I39_J_0,
    [final] ).

cnf(i_0_994,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    cls_nat__le__linear_0,
    [final] ).

cnf(i_0_995,axiom,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    cls_ATP__Linkup_Oequal__imp__fequal_0,
    [final] ).

cnf(i_0_996,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
    cls_conjecture_2,
    [final] ).

cnf(i_0_997,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_998,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_999,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_1000,axiom,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    cls_Suc__n__not__le__n_0,
    [final] ).

cnf(i_0_1001,plain,
    ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
    | ~ hBOOL(hAPP(X2,X3)) ),
    inference(rw,[status(thm)],[i_0_585,c_0_520]),
    [final] ).

cnf(i_0_1002,plain,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X1,X3)) ),
    inference(rw,[status(thm)],[i_0_586,c_0_520]),
    [final] ).

cnf(i_0_1003,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OBODY(X4),
    cls_com_Osimps_I54_J_0,
    [final] ).

cnf(i_0_1004,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OBODY(X4),
    cls_com_Osimps_I63_J_0,
    [final] ).

cnf(i_0_1005,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OBODY(X4),
    cls_com_Osimps_I40_J_0,
    [final] ).

cnf(i_0_1006,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OCond(X2,X3,X4),
    cls_com_Osimps_I55_J_0,
    [final] ).

cnf(i_0_1007,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OCall(X2,X3,X4),
    cls_com_Osimps_I62_J_0,
    [final] ).

cnf(i_0_1008,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OLocal(X2,X3,X4),
    cls_com_Osimps_I41_J_0,
    [final] ).

cnf(i_0_1009,axiom,
    c_Com_Ocom_OCond(X1,X2,X3) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I15_J_0,
    [final] ).

cnf(i_0_1010,axiom,
    c_Com_Ocom_OCall(X1,X2,X3) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I21_J_0,
    [final] ).

cnf(i_0_1011,axiom,
    c_Com_Ocom_OLocal(X1,X2,X3) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I11_J_0,
    [final] ).

cnf(i_0_1012,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X1,X2,X3),
    cls_com_Osimps_I14_J_0,
    [final] ).

cnf(i_0_1013,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(X1,X2,X3),
    cls_com_Osimps_I20_J_0,
    [final] ).

cnf(i_0_1014,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X1,X2,X3),
    cls_com_Osimps_I10_J_0,
    [final] ).

cnf(i_0_1015,axiom,
    ( X1 = X2
    | ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1) ),
    cls_evalc__elim__cases_I1_J_0,
    [final] ).

cnf(i_0_1016,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
    cls_Int__absorb_0,
    [final] ).

cnf(i_0_1017,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    cls_Un__absorb_0,
    [final] ).

cnf(i_0_1018,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__fun__eq_0,
    [final] ).

cnf(i_0_1019,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__left_0,
    [final] ).

cnf(i_0_1020,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__right_0,
    [final] ).

cnf(i_0_1021,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_1022,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_1023,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__least_0,
    [final] ).

cnf(i_0_1024,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    cls_conjecture_0,
    [final] ).

cnf(i_0_1025,axiom,
    c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
    cls_le__Suc__eq_2,
    [final] ).

cnf(i_0_1026,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__idem_0,
    [final] ).

cnf(i_0_1027,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
    | ~ class_Lattices_Oupper__semilattice(X1) ),
    cls_sup__idem_0,
    [final] ).

cnf(i_0_1028,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_1029,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_1030,axiom,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
    cls_evalc_OSkip_0,
    [final] ).

cnf(i_0_1031,axiom,
    c_lessequals(X1,X1,tc_nat),
    cls_eq__imp__le_0,
    [final] ).

cnf(i_0_1032,axiom,
    c_lessequals(X1,X1,tc_nat),
    cls_le__refl_0,
    [final] ).

cnf(i_0_1033,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
    cls_WTs__elim__cases_I4_J_0,
    [final] ).

cnf(i_0_1034,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OSemi(X2,X1)) ),
    cls_WTs__elim__cases_I4_J_1,
    [final] ).

cnf(i_0_1035,axiom,
    ( c_Com_OWT(X1)
    | ~ c_Com_OWT(c_Com_Ocom_OWhile(X2,X1)) ),
    cls_WTs__elim__cases_I6_J_0,
    [final] ).

cnf(i_0_1036,axiom,
    ( X1 = X3
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    cls_com_Osimps_I1_J_0,
    [final] ).

cnf(i_0_1037,axiom,
    ( X1 = X3
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    cls_com_Osimps_I3_J_0,
    [final] ).

cnf(i_0_1038,axiom,
    ( X1 = X3
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    cls_com_Osimps_I5_J_0,
    [final] ).

cnf(i_0_1039,axiom,
    ( X2 = X4
    | c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OAss(X3,X4) ),
    cls_com_Osimps_I1_J_1,
    [final] ).

cnf(i_0_1040,axiom,
    ( X2 = X4
    | c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
    cls_com_Osimps_I3_J_1,
    [final] ).

cnf(i_0_1041,axiom,
    ( X2 = X4
    | c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OWhile(X3,X4) ),
    cls_com_Osimps_I5_J_1,
    [final] ).

cnf(i_0_1042,axiom,
    ( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
    | ~ c_Com_OWT(X2)
    | ~ c_Com_OWT(X1) ),
    cls_WT_OSemi_0,
    [final] ).

cnf(i_0_1043,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    cls_com_Osimps_I24_J_0,
    [final] ).

cnf(i_0_1044,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    cls_com_Osimps_I28_J_0,
    [final] ).

cnf(i_0_1045,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    cls_com_Osimps_I25_J_0,
    [final] ).

cnf(i_0_1046,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OAss(X3,X4),
    cls_com_Osimps_I29_J_0,
    [final] ).

cnf(i_0_1047,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OWhile(X3,X4),
    cls_com_Osimps_I46_J_0,
    [final] ).

cnf(i_0_1048,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSemi(X3,X4),
    cls_com_Osimps_I47_J_0,
    [final] ).

cnf(i_0_1049,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_1050,axiom,
    ( class_HOL_Ominus(tc_fun(X1,X2))
    | ~ class_HOL_Ominus(X2) ),
    clsarity_fun__HOL_Ominus,
    [final] ).

cnf(i_0_1051,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_1052,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    clsarity_fun__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1053,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1054,axiom,
    ( c_Com_OWT(c_Com_Ocom_OWhile(X1,X2))
    | ~ c_Com_OWT(X2) ),
    cls_While_0,
    [final] ).

cnf(i_0_1055,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1056,axiom,
    ( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Odistrib__lattice(X2) ),
    clsarity_fun__Lattices_Odistrib__lattice,
    [final] ).

cnf(i_0_1057,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olattice,
    [final] ).

cnf(i_0_1058,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_1059,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    clsarity_fun__Orderings_Obot,
    [final] ).

cnf(i_0_1060,axiom,
    c_Com_OWT(c_Com_Ocom_OAss(X1,X2)),
    cls_WT_OAssign_0,
    [final] ).

cnf(i_0_1061,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OBODY(X3),
    cls_com_Osimps_I30_J_0,
    [final] ).

cnf(i_0_1062,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OBODY(X3),
    cls_com_Osimps_I48_J_0,
    [final] ).

cnf(i_0_1063,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OBODY(X3),
    cls_com_Osimps_I58_J_0,
    [final] ).

cnf(i_0_1064,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OAss(X2,X3),
    cls_com_Osimps_I31_J_0,
    [final] ).

cnf(i_0_1065,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSemi(X2,X3),
    cls_com_Osimps_I49_J_0,
    [final] ).

cnf(i_0_1066,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OWhile(X2,X3),
    cls_com_Osimps_I59_J_0,
    [final] ).

cnf(i_0_1067,axiom,
    c_Com_Ocom_OAss(X1,X2) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I9_J_0,
    [final] ).

cnf(i_0_1068,axiom,
    c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I13_J_0,
    [final] ).

cnf(i_0_1069,axiom,
    c_Com_Ocom_OWhile(X1,X2) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I17_J_0,
    [final] ).

cnf(i_0_1070,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(X1,X2),
    cls_com_Osimps_I8_J_0,
    [final] ).

cnf(i_0_1071,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
    cls_com_Osimps_I12_J_0,
    [final] ).

cnf(i_0_1072,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(X1,X2),
    cls_com_Osimps_I16_J_0,
    [final] ).

cnf(i_0_1073,axiom,
    hAPP(c_Fun_Oid(X1),X2) = X2,
    cls_id__apply_0,
    [final] ).

cnf(i_0_1074,axiom,
    hAPP(c_COMBI(X1),X2) = X2,
    cls_COMBI__def_0,
    [final] ).

cnf(i_0_1075,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    cls_id__def_0,
    [final] ).

cnf(i_0_1076,axiom,
    hAPP(c_COMBI(t_a),v_P) = v_P,
    cls_COMBI__def__raw_0,
    [final] ).

cnf(i_0_1077,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_nat_Oinject_0,
    [final] ).

cnf(i_0_1078,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    cls_Suc__inject_0,
    [final] ).

cnf(i_0_1079,axiom,
    ( X1 = X2
    | c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
    cls_com_Osimps_I6_J_0,
    [final] ).

cnf(i_0_1080,axiom,
    c_Suc(X1) != X1,
    cls_Suc__n__not__n_0,
    [final] ).

cnf(i_0_1081,axiom,
    X1 != c_Suc(X1),
    cls_n__not__Suc__n_0,
    [final] ).

cnf(i_0_1082,axiom,
    c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSKIP,
    cls_com_Osimps_I19_J_0,
    [final] ).

cnf(i_0_1083,axiom,
    c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
    cls_com_Osimps_I18_J_0,
    [final] ).

cnf(i_0_1084,axiom,
    class_Orderings_Olinorder(tc_nat),
    clsarity_nat__Orderings_Olinorder,
    [final] ).

cnf(i_0_1085,axiom,
    class_Orderings_Opreorder(tc_nat),
    clsarity_nat__Orderings_Opreorder,
    [final] ).

cnf(i_0_1086,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_1087,axiom,
    class_HOL_Ominus(tc_nat),
    clsarity_nat__HOL_Ominus,
    [final] ).

cnf(i_0_1088,axiom,
    class_HOL_Ominus(tc_bool),
    clsarity_bool__HOL_Ominus,
    [final] ).

cnf(i_0_1089,axiom,
    class_Orderings_Oorder(tc_nat),
    clsarity_nat__Orderings_Oorder,
    [final] ).

cnf(i_0_1090,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_1091,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    clsarity_bool__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1092,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    clsarity_nat__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1093,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    clsarity_bool__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1094,axiom,
    c_Com_OWT(c_Com_Ocom_OSKIP),
    cls_WT_OSkip_0,
    [final] ).

cnf(i_0_1095,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    clsarity_nat__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1096,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    clsarity_bool__Lattices_Oupper__semilattice,
    [final] ).

cnf(i_0_1097,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    clsarity_nat__Lattices_Odistrib__lattice,
    [final] ).

cnf(i_0_1098,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    clsarity_bool__Lattices_Odistrib__lattice,
    [final] ).

cnf(i_0_1099,axiom,
    class_Lattices_Olattice(tc_nat),
    clsarity_nat__Lattices_Olattice,
    [final] ).

cnf(i_0_1100,axiom,
    class_Lattices_Olattice(tc_bool),
    clsarity_bool__Lattices_Olattice,
    [final] ).

cnf(i_0_1101,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    clsarity_bool__Complete__Lattice_Ocomplete__lattice,
    [final] ).

cnf(i_0_1102,axiom,
    class_Orderings_Obot(tc_nat),
    clsarity_nat__Orderings_Obot,
    [final] ).

cnf(i_0_1103,axiom,
    class_Orderings_Obot(tc_bool),
    clsarity_bool__Orderings_Obot,
    [final] ).

cnf(i_0_1104,axiom,
    X1 = X1 ).

cnf(i_0_1105,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1106,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1107,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1108,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1109,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1110,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1111,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1112,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_1113,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_1114,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_1115,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_1116,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_1117,axiom,
    ( X1 != X2
    | c_Com_Ocom_OBODY(X1) = c_Com_Ocom_OBODY(X2) ) ).

cnf(i_0_1118,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).

cnf(i_0_1119,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).

cnf(i_0_1120,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).

cnf(i_0_1121,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1122,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1123,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1124,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1125,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1126,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1127,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1128,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1129,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1130,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1131,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1132,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1133,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X1,X3,X4) = c_Com_Ocom_OCond(X2,X3,X4) ) ).

cnf(i_0_1134,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X1,X4) = c_Com_Ocom_OCond(X3,X2,X4) ) ).

cnf(i_0_1135,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X4,X1) = c_Com_Ocom_OCond(X3,X4,X2) ) ).

cnf(i_0_1136,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_1137,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_1138,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_1139,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_1140,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X1,X3,X4,X5,X6) = c_Fun_Ofcomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1141,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X1,X4,X5,X6) = c_Fun_Ofcomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1142,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X1,X5,X6) = c_Fun_Ofcomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1143,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X1,X6) = c_Fun_Ofcomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1144,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X6,X1) = c_Fun_Ofcomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1145,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X1,X3,X4,X5,X6) = c_Fun_Ocomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1146,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X1,X4,X5,X6) = c_Fun_Ocomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1147,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X1,X5,X6) = c_Fun_Ocomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1148,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X1,X6) = c_Fun_Ocomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1149,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X6,X1) = c_Fun_Ocomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1150,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).

cnf(i_0_1151,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).

cnf(i_0_1152,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).

cnf(i_0_1153,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1154,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1155,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5) ) ).

cnf(i_0_1156,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X4,X5) ) ).

cnf(i_0_1157,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X2,X5) ) ).

cnf(i_0_1158,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X2) ) ).

cnf(i_0_1159,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1160,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).

cnf(i_0_1161,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).

cnf(i_0_1162,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X1,X3,X4) = c_Com_Ocom_OLocal(X2,X3,X4) ) ).

cnf(i_0_1163,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X1,X4) = c_Com_Ocom_OLocal(X3,X2,X4) ) ).

cnf(i_0_1164,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X4,X1) = c_Com_Ocom_OLocal(X3,X4,X2) ) ).

cnf(i_0_1165,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X1,X3) = c_Com_Ocom_OWhile(X2,X3) ) ).

cnf(i_0_1166,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X3,X1) = c_Com_Ocom_OWhile(X3,X2) ) ).

cnf(i_0_1167,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1168,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1169,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1170,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1171,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1172,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_1173,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_1174,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_1175,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_1176,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_1177,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X1,X3,X4) = c_Com_Ocom_OCall(X2,X3,X4) ) ).

cnf(i_0_1178,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X1,X4) = c_Com_Ocom_OCall(X3,X2,X4) ) ).

cnf(i_0_1179,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X4,X1) = c_Com_Ocom_OCall(X3,X4,X2) ) ).

cnf(i_0_1180,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X1,X3) = c_Com_Ocom_OAss(X2,X3) ) ).

cnf(i_0_1181,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X3,X1) = c_Com_Ocom_OAss(X3,X2) ) ).

cnf(i_0_1182,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_1183,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_1184,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_1185,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_1186,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_1187,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_1188,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_1189,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_1190,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_1191,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevalc(X1,X3,X4)
    | c_Natural_Oevalc(X2,X3,X4) ) ).

cnf(i_0_1192,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevalc(X3,X1,X4)
    | c_Natural_Oevalc(X3,X2,X4) ) ).

cnf(i_0_1193,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevalc(X3,X4,X1)
    | c_Natural_Oevalc(X3,X4,X2) ) ).

cnf(i_0_1194,axiom,
    ( X1 != X2
    | ~ class_Lattices_Odistrib__lattice(X1)
    | class_Lattices_Odistrib__lattice(X2) ) ).

cnf(i_0_1195,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1196,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1197,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1198,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_1199,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1200,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1201,axiom,
    ( X1 != X2
    | ~ c_Com_OWT(X1)
    | c_Com_OWT(X2) ) ).

cnf(i_0_1202,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1203,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1204,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1205,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1206,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1207,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1208,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1209,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1210,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1211,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X1,X3,X4,X5)
    | c_Natural_Oevaln(X2,X3,X4,X5) ) ).

cnf(i_0_1212,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X1,X4,X5)
    | c_Natural_Oevaln(X3,X2,X4,X5) ) ).

cnf(i_0_1213,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X1,X5)
    | c_Natural_Oevaln(X3,X4,X2,X5) ) ).

cnf(i_0_1214,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X5,X1)
    | c_Natural_Oevaln(X3,X4,X5,X2) ) ).

cnf(i_0_1215,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,X3,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X2,X3,X4) ) ).

cnf(i_0_1216,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X1,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X2,X4) ) ).

cnf(i_0_1217,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X4,X1)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,X2) ) ).

cnf(i_0_1218,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1219,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1220,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1221,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1222,axiom,
    ( X1 != X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(X2) ) ).

cnf(i_0_1223,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).

cnf(i_0_1224,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).

cnf(i_0_1225,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).

cnf(i_0_1104_001,axiom,
    X1 = X1 ).

cnf(i_0_1105_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1106_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1107_004,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1108_005,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1109_006,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1110_007,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1111_008,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1112_009,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_1113_010,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_1114_011,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_1115_012,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_1116_013,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__rec(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_1117_014,axiom,
    ( X1 != X2
    | c_Com_Ocom_OBODY(X1) = c_Com_Ocom_OBODY(X2) ) ).

cnf(i_0_1118_015,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).

cnf(i_0_1119_016,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).

cnf(i_0_1120_017,axiom,
    ( X1 != X2
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).

cnf(i_0_1121_018,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1122_019,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1123_020,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1124_021,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1125_022,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1126_023,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).

cnf(i_0_1127_024,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).

cnf(i_0_1128_025,axiom,
    ( X1 != X2
    | c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).

cnf(i_0_1129_026,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).

cnf(i_0_1130_027,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).

cnf(i_0_1131_028,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).

cnf(i_0_1132_029,axiom,
    ( X1 != X2
    | c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).

cnf(i_0_1133_030,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X1,X3,X4) = c_Com_Ocom_OCond(X2,X3,X4) ) ).

cnf(i_0_1134_031,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X1,X4) = c_Com_Ocom_OCond(X3,X2,X4) ) ).

cnf(i_0_1135_032,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCond(X3,X4,X1) = c_Com_Ocom_OCond(X3,X4,X2) ) ).

cnf(i_0_1136_033,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_1137_034,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_1138_035,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_1139_036,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_1140_037,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X1,X3,X4,X5,X6) = c_Fun_Ofcomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1141_038,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X1,X4,X5,X6) = c_Fun_Ofcomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1142_039,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X1,X5,X6) = c_Fun_Ofcomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1143_040,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X1,X6) = c_Fun_Ofcomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1144_041,axiom,
    ( X1 != X2
    | c_Fun_Ofcomp(X3,X4,X5,X6,X1) = c_Fun_Ofcomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1145_042,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X1,X3,X4,X5,X6) = c_Fun_Ocomp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1146_043,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X1,X4,X5,X6) = c_Fun_Ocomp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1147_044,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X1,X5,X6) = c_Fun_Ocomp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1148_045,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X1,X6) = c_Fun_Ocomp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1149_046,axiom,
    ( X1 != X2
    | c_Fun_Ocomp(X3,X4,X5,X6,X1) = c_Fun_Ocomp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1150_047,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).

cnf(i_0_1151_048,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).

cnf(i_0_1152_049,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).

cnf(i_0_1153_050,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1154_051,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1155_052,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X2,X3,X4,X5) ) ).

cnf(i_0_1156_053,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X3,X1,X4,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X2,X4,X5) ) ).

cnf(i_0_1157_054,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X1,X5) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X2,X5) ) ).

cnf(i_0_1158_055,axiom,
    ( X1 != X2
    | c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X1) = c_Hoare__Mirabelle_Otriple_Otriple(X3,X4,X5,X2) ) ).

cnf(i_0_1159_056,axiom,
    ( X1 != X2
    | c_Suc(X1) = c_Suc(X2) ) ).

cnf(i_0_1160_057,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).

cnf(i_0_1161_058,axiom,
    ( X1 != X2
    | c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).

cnf(i_0_1162_059,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X1,X3,X4) = c_Com_Ocom_OLocal(X2,X3,X4) ) ).

cnf(i_0_1163_060,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X1,X4) = c_Com_Ocom_OLocal(X3,X2,X4) ) ).

cnf(i_0_1164_061,axiom,
    ( X1 != X2
    | c_Com_Ocom_OLocal(X3,X4,X1) = c_Com_Ocom_OLocal(X3,X4,X2) ) ).

cnf(i_0_1165_062,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X1,X3) = c_Com_Ocom_OWhile(X2,X3) ) ).

cnf(i_0_1166_063,axiom,
    ( X1 != X2
    | c_Com_Ocom_OWhile(X3,X1) = c_Com_Ocom_OWhile(X3,X2) ) ).

cnf(i_0_1167_064,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X1,X3,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1168_065,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X1,X4,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X2,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1169_066,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X1,X5,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X2,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1170_067,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X1,X6,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X2,X6,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1171_068,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X1,X7,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X2,X7,X8,X9,X10,X11) ) ).

cnf(i_0_1172_069,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X1,X8,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X2,X8,X9,X10,X11) ) ).

cnf(i_0_1173_070,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X2,X9,X10,X11) ) ).

cnf(i_0_1174_071,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X2,X10,X11) ) ).

cnf(i_0_1175_072,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X2,X11) ) ).

cnf(i_0_1176_073,axiom,
    ( X1 != X2
    | c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X1) = c_Com_Ocom_Ocom__case(X3,X4,X5,X6,X7,X8,X9,X10,X11,X2) ) ).

cnf(i_0_1177_074,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X1,X3,X4) = c_Com_Ocom_OCall(X2,X3,X4) ) ).

cnf(i_0_1178_075,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X1,X4) = c_Com_Ocom_OCall(X3,X2,X4) ) ).

cnf(i_0_1179_076,axiom,
    ( X1 != X2
    | c_Com_Ocom_OCall(X3,X4,X1) = c_Com_Ocom_OCall(X3,X4,X2) ) ).

cnf(i_0_1180_077,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X1,X3) = c_Com_Ocom_OAss(X2,X3) ) ).

cnf(i_0_1181_078,axiom,
    ( X1 != X2
    | c_Com_Ocom_OAss(X3,X1) = c_Com_Ocom_OAss(X3,X2) ) ).

cnf(i_0_1182_079,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_1183_080,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_1184_081,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_1185_082,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_1186_083,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_1187_084,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_1188_085,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_1189_086,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_1190_087,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_1191_088,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevalc(X1,X3,X4)
    | c_Natural_Oevalc(X2,X3,X4) ) ).

cnf(i_0_1192_089,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevalc(X3,X1,X4)
    | c_Natural_Oevalc(X3,X2,X4) ) ).

cnf(i_0_1193_090,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevalc(X3,X4,X1)
    | c_Natural_Oevalc(X3,X4,X2) ) ).

cnf(i_0_1194_091,axiom,
    ( X1 != X2
    | ~ class_Lattices_Odistrib__lattice(X1)
    | class_Lattices_Odistrib__lattice(X2) ) ).

cnf(i_0_1195_092,axiom,
    ( X1 != X2
    | ~ class_Lattices_Oupper__semilattice(X1)
    | class_Lattices_Oupper__semilattice(X2) ) ).

cnf(i_0_1196_093,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1197_094,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1198_095,axiom,
    ( X1 != X2
    | ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(X2) ) ).

cnf(i_0_1199_096,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1200_097,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1201_098,axiom,
    ( X1 != X2
    | ~ c_Com_OWT(X1)
    | c_Com_OWT(X2) ) ).

cnf(i_0_1202_099,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1203_100,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1204_101,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1205_102,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1206_103,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1207_104,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Fun_Oinj__on(X2,X3,X4,X5) ) ).

cnf(i_0_1208_105,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | c_Fun_Oinj__on(X3,X2,X4,X5) ) ).

cnf(i_0_1209_106,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X1,X5)
    | c_Fun_Oinj__on(X3,X4,X2,X5) ) ).

cnf(i_0_1210_107,axiom,
    ( X1 != X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X1)
    | c_Fun_Oinj__on(X3,X4,X5,X2) ) ).

cnf(i_0_1211_108,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X1,X3,X4,X5)
    | c_Natural_Oevaln(X2,X3,X4,X5) ) ).

cnf(i_0_1212_109,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X1,X4,X5)
    | c_Natural_Oevaln(X3,X2,X4,X5) ) ).

cnf(i_0_1213_110,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X1,X5)
    | c_Natural_Oevaln(X3,X4,X2,X5) ) ).

cnf(i_0_1214_111,axiom,
    ( X1 != X2
    | ~ c_Natural_Oevaln(X3,X4,X5,X1)
    | c_Natural_Oevaln(X3,X4,X5,X2) ) ).

cnf(i_0_1215_112,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,X3,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X2,X3,X4) ) ).

cnf(i_0_1216_113,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X1,X4)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X2,X4) ) ).

cnf(i_0_1217_114,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Otriple__valid(X3,X4,X1)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X4,X2) ) ).

cnf(i_0_1218_115,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1219_116,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1220_117,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1221_118,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1222_119,axiom,
    ( X1 != X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(X2) ) ).

cnf(i_0_1223_120,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X1,X3,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,X4) ) ).

cnf(i_0_1224_121,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X1,X4)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X2,X4) ) ).

cnf(i_0_1225_122,axiom,
    ( X1 != X2
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X1)
    | c_Hoare__Mirabelle_Ohoare__valids(X3,X4,X2) ) ).

cnf(i_0_1226,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[621]) ).

cnf(i_0_1227,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[622]) ).

cnf(i_0_1228,plain,
    ( X1 = X1
    | X2 = X1 ),
    inference(equality_inference,[],[623]) ).

cnf(i_0_1229,plain,
    ( X1 = X1
    | X1 = X2 ),
    inference(equality_inference,[],[624]) ).

cnf(i_0_1230,plain,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6),
    inference(equality_inference,[],[641]) ).

cnf(i_0_1231,plain,
    hAPP(X1,hAPP(X2,X3)) = hAPP(X1,hAPP(X2,X3)),
    inference(equality_inference,[],[659]) ).

cnf(i_0_1232,plain,
    hAPP(c_Fun_Oid(X1),hAPP(X2,X3)) = hAPP(X2,X3),
    inference(equality_inference,[],[661]) ).

cnf(i_0_1233,plain,
    ( X1 = X1
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
    | hBOOL(hAPP(hAPP(c_in(X2),X3),X1)) ),
    inference(equality_inference,[],[664]) ).

cnf(i_0_1234,plain,
    X1 = X1,
    inference(equality_inference,[],[666]) ).

cnf(i_0_1235,plain,
    X1 = X1,
    inference(equality_inference,[],[700]) ).

cnf(i_0_1236,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,[],[714]) ).

cnf(i_0_1237,plain,
    X1 = X1,
    inference(equality_inference,[],[746]) ).

cnf(i_0_1238,plain,
    X1 = X1,
    inference(equality_inference,[],[747]) ).

cnf(i_0_1239,plain,
    X1 = X1,
    inference(equality_inference,[],[748]) ).

cnf(i_0_1240,plain,
    ( X1 = X1
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3)) ),
    inference(equality_inference,[],[753]) ).

cnf(i_0_1241,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[908]) ).

cnf(i_0_1242,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(equality_inference,[],[909]) ).

cnf(i_0_1243,plain,
    X1 = X1,
    inference(equality_inference,[],[915]) ).

cnf(i_0_1244,plain,
    X1 = X1,
    inference(equality_inference,[],[916]) ).

cnf(i_0_1245,plain,
    X1 = X1,
    inference(equality_inference,[],[917]) ).

cnf(i_0_1246,plain,
    X1 = X1,
    inference(equality_inference,[],[918]) ).

cnf(i_0_1247,plain,
    X1 = X1,
    inference(equality_inference,[],[919]) ).

cnf(i_0_1248,plain,
    X1 = X1,
    inference(equality_inference,[],[920]) ).

cnf(i_0_1249,plain,
    X1 = X1,
    inference(equality_inference,[],[921]) ).

cnf(i_0_1250,plain,
    X1 = X1,
    inference(equality_inference,[],[922]) ).

cnf(i_0_1251,plain,
    X1 = X1,
    inference(equality_inference,[],[923]) ).

cnf(i_0_1252,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(equality_inference,[],[1001]) ).

cnf(i_0_1253,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(equality_inference,[],[1002]) ).

cnf(i_0_1254,plain,
    X1 = X1,
    inference(equality_inference,[],[1036]) ).

cnf(i_0_1255,plain,
    X1 = X1,
    inference(equality_inference,[],[1037]) ).

cnf(i_0_1256,plain,
    X1 = X1,
    inference(equality_inference,[],[1038]) ).

cnf(i_0_1257,plain,
    X1 = X1,
    inference(equality_inference,[],[1039]) ).

cnf(i_0_1258,plain,
    X1 = X1,
    inference(equality_inference,[],[1040]) ).

cnf(i_0_1259,plain,
    X1 = X1,
    inference(equality_inference,[],[1041]) ).

cnf(i_0_1260,plain,
    X1 = X1,
    inference(equality_inference,[],[1078]) ).

cnf(i_0_1261,plain,
    X1 = X1,
    inference(equality_inference,[],[1079]) ).

cnf(i_0_1262,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_841,i_0_665]) ).

cnf(i_0_1263,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_665]) ).

cnf(i_0_1264,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_841,i_0_665,i_0_681]) ).

cnf(i_0_1265,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_681]) ).

cnf(i_0_1266,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_841,i_0_665,i_0_681,i_0_682]) ).

cnf(i_0_1267,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_682]) ).

cnf(i_0_1268,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4))),
    inference(scs_inference,[],[i_0_841,i_0_665,i_0_681,i_0_682,i_0_694]) ).

cnf(i_0_1269,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_841]) ).

cnf(i_0_1270,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1271,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_x),c_SetInterval_Oord_OlessThan(v_P,v_xa,X1))),
    inference(scs_inference,[],[i_0_1024,i_0_841,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811]) ).

cnf(i_0_1272,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
    inference(rename_variables,[],[i_0_811]) ).

cnf(i_0_1273,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_xa),c_SetInterval_Oord_OgreaterThan(v_P,v_x,X1))),
    inference(scs_inference,[],[i_0_1024,i_0_841,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812]) ).

cnf(i_0_1274,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
    inference(rename_variables,[],[i_0_812]) ).

cnf(i_0_1275,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_x),c_SetInterval_Oord_OatMost(v_P,v_xa,X1))),
    inference(scs_inference,[],[i_0_1024,i_0_841,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813]) ).

cnf(i_0_1276,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
    inference(rename_variables,[],[i_0_813]) ).

cnf(i_0_1277,plain,
    v_xb = v_xa,
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_841,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822]) ).

cnf(i_0_1278,plain,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3)
    | X3 = X1 ),
    inference(rename_variables,[],[i_0_822]) ).

cnf(i_0_1279,plain,
    c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_xb,X2,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_841,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868]) ).

cnf(i_0_1280,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
    inference(rename_variables,[],[i_0_868]) ).

cnf(i_0_1281,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),hAPP(X1,X3)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4,X2),X3)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901]) ).

cnf(i_0_1282,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(X3,X2)) ),
    inference(rename_variables,[],[i_0_901]) ).

cnf(i_0_1283,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),X4)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950]) ).

cnf(i_0_1284,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(rename_variables,[],[i_0_950]) ).

cnf(i_0_1285,plain,
    c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_xb,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975]) ).

cnf(i_0_1286,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X2) ),
    inference(rename_variables,[],[i_0_975]) ).

cnf(i_0_1287,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_890,i_0_1024,i_0_996,i_0_852,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001]) ).

cnf(i_0_1288,plain,
    ( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X2
    | ~ hBOOL(hAPP(X2,X3)) ),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1289,plain,
    ~ hBOOL(hAPP(c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),X10)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_601,i_0_852,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002]) ).

cnf(i_0_1290,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1291,plain,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_1002]) ).

cnf(i_0_1292,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,c_Suc(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))),X8),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1081,i_0_601,i_0_852,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612]) ).

cnf(i_0_1293,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1081]) ).

cnf(i_0_1294,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_612]) ).

cnf(i_0_1295,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,c_Suc(hAPP(X2,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)))),X8,X7),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1081,i_0_1293,i_0_601,i_0_852,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613]) ).

cnf(i_0_1296,plain,
    X1 != c_Suc(X1),
    inference(rename_variables,[],[i_0_1081]) ).

cnf(i_0_1297,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_613]) ).

cnf(i_0_1298,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1081,i_0_1293,i_0_601,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637]) ).

cnf(i_0_1299,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_637]) ).

cnf(i_0_1300,plain,
    hAPP(c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X7,X8,X9),X10) = hAPP(c_Fun_Ocomp(c_Fun_Ocomp(X1,X2,X11,X4,X12),X6,X13,X8,X14),X10),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641]) ).

cnf(i_0_1301,plain,
    hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6),
    inference(rename_variables,[],[i_0_1230]) ).

cnf(i_0_1302,plain,
    ( hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6))
    | hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6) ),
    inference(rename_variables,[],[i_0_641]) ).

cnf(i_0_1303,plain,
    hAPP(c_Fun_Oid(X1),hAPP(c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3),X4)) = hAPP(X2,X4),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661]) ).

cnf(i_0_1304,plain,
    c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3) = X2,
    inference(rename_variables,[],[i_0_726]) ).

cnf(i_0_1305,plain,
    ( c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5)
    | hAPP(X1,hAPP(X2,X7)) = hAPP(X6,X7) ),
    inference(rename_variables,[],[i_0_661]) ).

cnf(i_0_1306,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662]) ).

cnf(i_0_1307,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_1308,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663]) ).

cnf(i_0_1309,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_663]) ).

cnf(i_0_1310,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680]) ).

cnf(i_0_1311,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_680]) ).

cnf(i_0_1312,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),hAPP(X2,X3)),c_Set_Oimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1),tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691]) ).

cnf(i_0_1313,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X5,X3,X1,X4) ),
    inference(rename_variables,[],[i_0_691]) ).

cnf(i_0_1314,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_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701]) ).

cnf(i_0_1315,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_898]) ).

cnf(i_0_1316,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_701]) ).

cnf(i_0_1317,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),X5,tc_fun(X4,tc_bool)),X1,X4))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713]) ).

cnf(i_0_1318,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1319,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(rename_variables,[],[i_0_713]) ).

cnf(i_0_1320,plain,
    hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),X3),X5,tc_fun(X4,tc_bool)),X4,X1))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720]) ).

cnf(i_0_1321,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(rename_variables,[],[i_0_720]) ).

cnf(i_0_1322,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Set_Ovimage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X1,X4),tc_fun(X1,tc_bool)) = c_Set_Ovimage(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),X1,X4),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722]) ).

cnf(i_0_1323,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_722]) ).

cnf(i_0_1324,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,hAPP(c_fequal(X2),hAPP(X1,X3)),X4,X5),X3)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730]) ).

cnf(i_0_1325,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    inference(rename_variables,[],[i_0_995]) ).

cnf(i_0_1326,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_730]) ).

cnf(i_0_1327,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_fun(X5,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732]) ).

cnf(i_0_1328,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_732]) ).

cnf(i_0_1329,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_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889]) ).

cnf(i_0_1330,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
    inference(rename_variables,[],[i_0_889]) ).

cnf(i_0_1331,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_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902]) ).

cnf(i_0_1332,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_766]) ).

cnf(i_0_1333,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_902]) ).

cnf(i_0_1334,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105]) ).

cnf(i_0_1335,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4,X5),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_869,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642]) ).

cnf(i_0_1336,plain,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
    inference(rename_variables,[],[i_0_869]) ).

cnf(i_0_1337,plain,
    ( ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4) ),
    inference(rename_variables,[],[i_0_642]) ).

cnf(i_0_1338,plain,
    c_lessequals(X1,c_Suc(X1),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_1032,i_0_869,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961]) ).

cnf(i_0_1339,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1032]) ).

cnf(i_0_1340,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_961]) ).

cnf(i_0_1341,plain,
    ~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962]) ).

cnf(i_0_1342,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_1343,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_1344,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994]) ).

cnf(i_0_1345,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_994]) ).

cnf(i_0_1346,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028]) ).

cnf(i_0_1347,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1028]) ).

cnf(i_0_1348,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_in(X3),X4,X5,X6,X7,X8,X9),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_652,i_0_1318,i_0_841,i_0_1269,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610]) ).

cnf(i_0_1349,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_841]) ).

cnf(i_0_1350,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1351,plain,
    ( hBOOL(hAPP(hAPP(X1,hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X4),X3))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X6,X1,X7,X8,X9,X10,X11,X5) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1352,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_x),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X1))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_652,i_0_1318,i_0_841,i_0_1269,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640]) ).

cnf(i_0_1353,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    inference(rename_variables,[],[i_0_995]) ).

cnf(i_0_1354,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X5),X2))
    | hBOOL(hAPP(hAPP(c_in(X6),X2),c_SetInterval_Oord_OatLeastLessThan(X4,X1,X5,X3,X6))) ),
    inference(rename_variables,[],[i_0_640]) ).

cnf(i_0_1355,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_841,i_0_1269,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721]) ).

cnf(i_0_1356,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2))
    | hBOOL(hAPP(hAPP(c_in(X5),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X4,X3,X5))) ),
    inference(rename_variables,[],[i_0_721]) ).

cnf(i_0_1357,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740]) ).

cnf(i_0_1358,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1359,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
    inference(rename_variables,[],[i_0_740]) ).

cnf(i_0_1360,plain,
    c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(v_P,v_x),c_Com_Ocom_OSKIP,X1),v_xa,v_n,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744]) ).

cnf(i_0_1361,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | ~ c_Natural_Oevaln(X3,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_744]) ).

cnf(i_0_1362,plain,
    c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(v_P,v_x),X1,c_Com_Ocom_OSKIP),v_xb,X2,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749]) ).

cnf(i_0_1363,plain,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_1364,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | ~ c_Natural_Oevaln(X4,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_749]) ).

cnf(i_0_1365,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),X2,tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),X2,tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758]) ).

cnf(i_0_1366,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1367,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X3,X4,X1)),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_1368,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),X2,tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),X2,tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759]) ).

cnf(i_0_1369,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1370,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X3,X4,X1)),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(rename_variables,[],[i_0_759]) ).

cnf(i_0_1371,plain,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,c_Suc(v_n),v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765]) ).

cnf(i_0_1372,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_Natural_Oevaln(X3,X4,X1,X5)
    | c_Natural_Oevaln(X3,X4,X2,X5) ),
    inference(rename_variables,[],[i_0_765]) ).

cnf(i_0_1373,plain,
    hBOOL(hAPP(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xb),v_xb)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786]) ).

cnf(i_0_1374,plain,
    hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_654]) ).

cnf(i_0_1375,plain,
    ( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4)) ),
    inference(rename_variables,[],[i_0_786]) ).

cnf(i_0_1376,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),c_ATP__Linkup_Osko__Set__XballE__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xb),X2,tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790]) ).

cnf(i_0_1377,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1378,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)))
    | hBOOL(hAPP(X4,X2)) ),
    inference(rename_variables,[],[i_0_790]) ).

cnf(i_0_1379,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800]) ).

cnf(i_0_1380,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1080]) ).

cnf(i_0_1381,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X5)
    | X5 = X2 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1382,plain,
    c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(v_P,v_x),c_Com_Ocom_OSKIP,X1),v_xa,v_xa),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870]) ).

cnf(i_0_1383,plain,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1384,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
    | ~ c_Natural_Oevalc(X3,X2,X5) ),
    inference(rename_variables,[],[i_0_870]) ).

cnf(i_0_1385,plain,
    c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(v_P,v_x),X1,c_Com_Ocom_OSKIP),v_xb,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871]) ).

cnf(i_0_1386,plain,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1387,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
    | ~ c_Natural_Oevalc(X4,X2,X5) ),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1388,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942]) ).

cnf(i_0_1389,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1080]) ).

cnf(i_0_1390,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X4)
    | X4 = X2 ),
    inference(rename_variables,[],[i_0_942]) ).

cnf(i_0_1391,plain,
    hAPP(hAPP(v_P,v_x),v_xa) != hAPP(hAPP(v_P,v_x),v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203]) ).

cnf(i_0_1392,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_Ocom__case(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X12,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211]) ).

cnf(i_0_1393,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1394,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),X12,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212]) ).

cnf(i_0_1395,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1396,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,c_Com_Ocom_Ocom__case(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X5,X6,X7,X8,X9,X10,X11,c_Com_Ocom_OSKIP,X12)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214]) ).

cnf(i_0_1397,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1398,plain,
    c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),X1,X3,tc_bool),tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761]) ).

cnf(i_0_1399,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    inference(rename_variables,[],[i_0_761]) ).

cnf(i_0_1400,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797]) ).

cnf(i_0_1401,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1402,plain,
    ~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909]) ).

cnf(i_0_1403,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_699]) ).

cnf(i_0_1404,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
    | X3 = X4
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(rename_variables,[],[i_0_909]) ).

cnf(i_0_1405,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,c_Suc(X1)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914]) ).

cnf(i_0_1406,plain,
    c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1407,plain,
    ( ~ c_Natural_Oevalc(X1,X2,X3)
    | X4 = X3
    | ~ c_Natural_Oevalc(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_914]) ).

cnf(i_0_1408,plain,
    c_Suc(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)) != hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106]) ).

cnf(i_0_1409,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1080]) ).

cnf(i_0_1410,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),X7,X8,X9,X10,X11,X12,c_Suc(hAPP(hAPP(c_Fun_Ocomp(X1,X2,X13,X4,X14),X6),c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)))),X15),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182]) ).

cnf(i_0_1411,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),X8,X9,X10,X11,c_Suc(hAPP(hAPP(c_Fun_Ocomp(X2,X3,X12,X5,X13),X7),c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)))),X15,X14),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183]) ).

cnf(i_0_1412,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_Com_Ocom_Ocom__case(c_in(X3),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),X12,X13,X14,X15,X16,X17),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184]) ).

cnf(i_0_1413,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1414,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),X8,X9,X10,X11,c_Com_Ocom_Ocom__case(c_Suc(hAPP(hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),c_Orderings_Obot__class_Obot(tc_fun(X12,tc_bool)))),X13,X14,X15,X16,X17,X18,X19,c_Com_Ocom_OSKIP,X20),X21,X12),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188]) ).

cnf(i_0_1415,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1416,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),X7,X8,X9,X10,X11,X12,c_Com_Ocom_Ocom__case(c_Suc(hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)))),X14,X15,X16,X17,X18,X19,X20,c_Com_Ocom_OSKIP,X21),X13),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189]) ).

cnf(i_0_1417,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1418,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),X7,X8,X9,X10,X11,X12,c_Suc(hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),c_Orderings_Obot__class_Obot(tc_fun(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),tc_bool)))),hAPP(c_Fun_Ocomp(X1,X2,X13,X4,X14),X6)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190]) ).

cnf(i_0_1419,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_Ocom__case(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191]) ).

cnf(i_0_1420,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1421,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192]) ).

cnf(i_0_1422,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1423,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Com_Ocom_Ocom__case(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193]) ).

cnf(i_0_1424,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1425,plain,
    c_Fun_Oinj__on(c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),X2,X1,X1),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_869,i_0_1000,i_0_1086,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656]) ).

cnf(i_0_1426,plain,
    c_Fun_Oinj__on(c_Fun_Oid(X1),X2,X1,X1),
    inference(rename_variables,[],[i_0_884]) ).

cnf(i_0_1427,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_656]) ).

cnf(i_0_1428,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_869,i_0_1000,i_0_1086,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856]) ).

cnf(i_0_1429,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1032]) ).

cnf(i_0_1430,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_856]) ).

cnf(i_0_1431,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_869,i_0_1000,i_0_1086,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858]) ).

cnf(i_0_1432,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1032]) ).

cnf(i_0_1433,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_858]) ).

cnf(i_0_1434,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_869,i_0_1000,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860]) ).

cnf(i_0_1435,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1032]) ).

cnf(i_0_1436,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4)
    | c_lessequals(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_860]) ).

cnf(i_0_1437,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862]) ).

cnf(i_0_1438,plain,
    c_lessequals(X1,X1,tc_nat),
    inference(rename_variables,[],[i_0_1032]) ).

cnf(i_0_1439,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4)
    | c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_862]) ).

cnf(i_0_1440,plain,
    ~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878]) ).

cnf(i_0_1441,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_1442,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_878]) ).

cnf(i_0_1443,plain,
    ~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),X2,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879]) ).

cnf(i_0_1444,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_1445,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4)
    | ~ c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_879]) ).

cnf(i_0_1446,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897]) ).

cnf(i_0_1447,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_897]) ).

cnf(i_0_1448,plain,
    c_lessequals(X1,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969]) ).

cnf(i_0_1449,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_969]) ).

cnf(i_0_1450,plain,
    ~ c_lessequals(c_Com_Ocom_Ocom__case(c_Suc(X1),X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218]) ).

cnf(i_0_1451,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1452,plain,
    ~ c_lessequals(c_Suc(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6)),hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219]) ).

cnf(i_0_1453,plain,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_1454,plain,
    ~ c_lessequals(c_Suc(X1),X1,c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220]) ).

cnf(i_0_1455,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1456,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_n,c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710]) ).

cnf(i_0_1457,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X4,X7,X1,t_a),t_a)
    | ~ c_Natural_Oevaln(X7,X5,X6,X3) ),
    inference(rename_variables,[],[i_0_710]) ).

cnf(i_0_1458,plain,
    c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(v_P,v_x),c_Com_Ocom_OSKIP),v_xa,v_n,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731]) ).

cnf(i_0_1459,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X6,X4,X5)
    | ~ c_Natural_Oevaln(X3,X2,X4,X6) ),
    inference(rename_variables,[],[i_0_731]) ).

cnf(i_0_1460,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793]) ).

cnf(i_0_1461,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1462,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_841]) ).

cnf(i_0_1463,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X3,X4)),X3))
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X4,X1,t_a) ),
    inference(rename_variables,[],[i_0_793]) ).

cnf(i_0_1464,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4),tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645]) ).

cnf(i_0_1465,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_645]) ).

cnf(i_0_1466,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),X7,c_Suc(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815]) ).

cnf(i_0_1467,plain,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_815]) ).

cnf(i_0_1468,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),X8,X9,X10,X11,c_Suc(hAPP(hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),c_Orderings_Obot__class_Obot(tc_fun(hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),tc_bool)))),X12,hAPP(c_Fun_Ocomp(X2,X3,X13,X5,X14),X7)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603]) ).

cnf(i_0_1469,plain,
    ( c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_COMBC(X3,X4,X4,tc_bool),c_COMBC(X5,X4,X4,tc_bool),X6,X7,X8,X9,X4)
    | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X1,X3,X5,X7,X6,X9,X8,X4) ),
    inference(rename_variables,[],[i_0_603]) ).

cnf(i_0_1470,plain,
    c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1) = v_xa,
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628]) ).

cnf(i_0_1471,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool))))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_628]) ).

cnf(i_0_1472,plain,
    v_xa != v_xb,
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154]) ).

cnf(i_0_1473,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X1),X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913]) ).

cnf(i_0_1474,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_913]) ).

cnf(i_0_1475,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X1),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943]) ).

cnf(i_0_1476,plain,
    ( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_943]) ).

cnf(i_0_1477,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Suc(X2),tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955]) ).

cnf(i_0_1478,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_1479,plain,
    c_lessequals(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974]) ).

cnf(i_0_1480,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_974]) ).

cnf(i_0_1481,plain,
    ( ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | hBOOL(hAPP(hAPP(X3,X10),hAPP(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X9),X9,X9,tc_bool),X10),X11,tc_fun(X9,tc_bool))))) ),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611]) ).

cnf(i_0_1482,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(X4,X2),hAPP(X5,X3)))
    | ~ c_Complete__Lattice_Ocomplete__lattice(X6,X5,X4,X7,X8,X9,X10,X11,X1) ),
    inference(rename_variables,[],[i_0_611]) ).

cnf(i_0_1483,plain,
    c_ATP__Linkup_Osko__Set__XbexE__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1) = v_xa,
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629]) ).

cnf(i_0_1484,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_841]) ).

cnf(i_0_1485,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_629]) ).

cnf(i_0_1486,plain,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(v_n,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)))),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798]) ).

cnf(i_0_1487,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X3,X2)),X2))
    | c_Hoare__Mirabelle_Otriple__valid(X3,X1,t_a) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1488,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215]) ).

cnf(i_0_1489,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1490,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_n,c_Com_Ocom_Ocom__case(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216]) ).

cnf(i_0_1491,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1492,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_n,c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Com_Ocom_Ocom__case(t_a,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217]) ).

cnf(i_0_1493,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1494,plain,
    c_Set_Oimage(c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),c_Suc(X2),X1,X1) != c_Set_Oimage(c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),X2,X1,X1),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714]) ).

cnf(i_0_1495,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X1,X2,X4,X5) != c_Set_Oimage(X1,X3,X4,X5)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_714]) ).

cnf(i_0_1496,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(v_n),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(v_n,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821]) ).

cnf(i_0_1497,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1498,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X3),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X3,X2),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X1,t_a) ),
    inference(rename_variables,[],[i_0_821]) ).

cnf(i_0_1499,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X9,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223]) ).

cnf(i_0_1500,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1501,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Com_Ocom_Ocom__case(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),t_a),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224]) ).

cnf(i_0_1502,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1503,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Com_Ocom_Ocom__case(t_a,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_1502,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224,i_0_1225]) ).

cnf(i_0_1504,plain,
    c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9) = X1,
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1505,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(v_n,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a))))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_1502,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224,i_0_1225,i_0_697]) ).

cnf(i_0_1506,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    inference(rename_variables,[],[i_0_697]) ).

cnf(i_0_1507,plain,
    c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a) = v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(v_n,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a))),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_1502,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224,i_0_1225,i_0_697,i_0_931]) ).

cnf(i_0_1508,plain,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_1509,plain,
    ( c_Natural_Oevaln(X1,c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X2,X3)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_fequal(X4),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,X5),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X2,X3) ),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_1502,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224,i_0_1225,i_0_697,i_0_931,i_0_741]) ).

cnf(i_0_1510,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
    inference(rename_variables,[],[i_0_995]) ).

cnf(i_0_1511,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | c_Natural_Oevaln(X3,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_741]) ).

cnf(i_0_1512,plain,
    ( c_Natural_Oevaln(X1,c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X2,X3)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_fequal(X4),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),c_Com_Ocom_OCond(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X1),X7),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X2,X3) ),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_1502,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_1315,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_611,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224,i_0_1225,i_0_697,i_0_931,i_0_741,i_0_742]) ).

cnf(i_0_1513,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_898]) ).

cnf(i_0_1514,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | c_Natural_Oevaln(X4,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_742]) ).

cnf(i_0_1515,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_898]) ).

cnf(i_0_1516,plain,
    ( ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),c_Com_Ocom_OCond(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X6,X7)
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(c_in(X8),X9),c_Com_Ocom_OCond(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),X11,X12),X13),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X8),X8,X8,tc_bool),X9),X14,tc_fun(X8,tc_bool)),X15)
    | hAPP(X16,X9) = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X8),X8,X8,tc_bool),X9),X14,tc_fun(X8,tc_bool)),X16,X8,tc_fun(X17,tc_bool)) ),
    inference(scs_inference,[],[i_0_890,i_0_1024,i_0_996,i_0_1230,i_0_1301,i_0_888,i_0_1080,i_0_1380,i_0_1389,i_0_1409,i_0_1081,i_0_1293,i_0_601,i_0_1290,i_0_1393,i_0_1395,i_0_1397,i_0_1413,i_0_1415,i_0_1417,i_0_1420,i_0_1422,i_0_1424,i_0_1451,i_0_1455,i_0_1489,i_0_1491,i_0_1493,i_0_1500,i_0_1502,i_0_726,i_0_766,i_0_875,i_0_699,i_0_852,i_0_995,i_0_1325,i_0_1353,i_0_652,i_0_1318,i_0_1350,i_0_1358,i_0_1366,i_0_1369,i_0_1377,i_0_1461,i_0_1497,i_0_841,i_0_1269,i_0_1349,i_0_1462,i_0_620,i_0_884,i_0_885,i_0_1030,i_0_1383,i_0_1386,i_0_1032,i_0_1339,i_0_1429,i_0_1432,i_0_1435,i_0_869,i_0_1000,i_0_1342,i_0_1441,i_0_1444,i_0_1453,i_0_1084,i_0_1086,i_0_1092,i_0_1095,i_0_1101,i_0_654,i_0_898,i_0_1315,i_0_1513,i_0_665,i_0_681,i_0_682,i_0_694,i_0_811,i_0_812,i_0_813,i_0_822,i_0_868,i_0_901,i_0_950,i_0_975,i_0_1001,i_0_1002,i_0_612,i_0_613,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_713,i_0_720,i_0_722,i_0_730,i_0_732,i_0_889,i_0_902,i_0_1105,i_0_642,i_0_961,i_0_962,i_0_994,i_0_1028,i_0_610,i_0_640,i_0_721,i_0_740,i_0_744,i_0_749,i_0_758,i_0_759,i_0_765,i_0_786,i_0_790,i_0_800,i_0_870,i_0_871,i_0_942,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_761,i_0_797,i_0_909,i_0_914,i_0_1106,i_0_1182,i_0_1183,i_0_1184,i_0_1188,i_0_1189,i_0_1190,i_0_1191,i_0_1192,i_0_1193,i_0_656,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_897,i_0_969,i_0_1218,i_0_1219,i_0_1220,i_0_710,i_0_731,i_0_793,i_0_645,i_0_815,i_0_603,i_0_628,i_0_1154,i_0_913,i_0_943,i_0_955,i_0_974,i_0_629,i_0_798,i_0_1215,i_0_1216,i_0_1217,i_0_714,i_0_821,i_0_1223,i_0_1224,i_0_1225,i_0_697,i_0_931,i_0_741,i_0_742,i_0_829,i_0_837,i_0_1213,i_0_773]) ).

cnf(i_0_1517,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1268,i_0_665]) ).

cnf(i_0_1518,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_665]) ).

cnf(i_0_1519,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1268,i_0_665,i_0_681]) ).

cnf(i_0_1520,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_681]) ).

cnf(i_0_1521,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),X5,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1268,i_0_665,i_0_681,i_0_682]) ).

cnf(i_0_1522,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_682]) ).

cnf(i_0_1523,plain,
    c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),X6,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5)),
    inference(scs_inference,[],[i_0_1268,i_0_665,i_0_681,i_0_682,i_0_868]) ).

cnf(i_0_1524,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
    inference(rename_variables,[],[i_0_868]) ).

cnf(i_0_1525,plain,
    c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5)),
    inference(scs_inference,[],[i_0_1268,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975]) ).

cnf(i_0_1526,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X2) ),
    inference(rename_variables,[],[i_0_975]) ).

cnf(i_0_1527,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)),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X4)),
    inference(scs_inference,[],[i_0_1268,i_0_823,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002]) ).

cnf(i_0_1528,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1529,plain,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_1002]) ).

cnf(i_0_1530,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637]) ).

cnf(i_0_1531,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_637]) ).

cnf(i_0_1532,plain,
    hAPP(c_Fun_Ocomp(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2,X3,X4,X5),hAPP(X6,X7)) = hAPP(c_Fun_Ocomp(X2,X6,X8,X4,X9),X7),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_794,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641]) ).

cnf(i_0_1533,plain,
    hAPP(c_COMBC(c_in(X1),X1,tc_fun(X1,tc_bool),tc_bool),X2) = X2,
    inference(rename_variables,[],[i_0_794]) ).

cnf(i_0_1534,plain,
    ( hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6))
    | hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6) ),
    inference(rename_variables,[],[i_0_641]) ).

cnf(i_0_1535,plain,
    hAPP(c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3),hAPP(c_Fun_Oid(X3),X4)) = hAPP(X2,X4),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661]) ).

cnf(i_0_1536,plain,
    c_Fun_Ocomp(X1,c_Fun_Oid(X2),X2,X3,X2) = X1,
    inference(rename_variables,[],[i_0_728]) ).

cnf(i_0_1537,plain,
    ( c_Fun_Ocomp(X1,X2,X3,X4,X5) != c_Fun_Ocomp(c_Fun_Oid(X4),X6,X4,X4,X5)
    | hAPP(X1,hAPP(X2,X7)) = hAPP(X6,X7) ),
    inference(rename_variables,[],[i_0_661]) ).

cnf(i_0_1538,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X1),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662]) ).

cnf(i_0_1539,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_1540,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,X3),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663]) ).

cnf(i_0_1541,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_663]) ).

cnf(i_0_1542,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X1),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X3,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X1),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680]) ).

cnf(i_0_1543,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_680]) ).

cnf(i_0_1544,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),hAPP(X2,X3)),c_Set_Oimage(X2,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X3,X3,X5),X5,X1),tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X3,X3,X5),X5,X1),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691]) ).

cnf(i_0_1545,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X5,X3,X1,X4) ),
    inference(rename_variables,[],[i_0_691]) ).

cnf(i_0_1546,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X5,X6),X7)),
    inference(scs_inference,[],[i_0_1355,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701]) ).

cnf(i_0_1547,plain,
    ~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_1548,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_701]) ).

cnf(i_0_1549,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),hAPP(X2,hAPP(X1,X4))),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X5,X3),X6,X7),X4)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730]) ).

cnf(i_0_1550,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),hAPP(X1,X3)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4,X2),X3)),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_1551,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_730]) ).

cnf(i_0_1552,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X4),X1,X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X4),X1,X4,tc_fun(X5,tc_bool)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732]) ).

cnf(i_0_1553,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_732]) ).

cnf(i_0_1554,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X5,X6),X6,X7),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642]) ).

cnf(i_0_1555,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4,X5),
    inference(rename_variables,[],[i_0_1335]) ).

cnf(i_0_1556,plain,
    ( ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4) ),
    inference(rename_variables,[],[i_0_642]) ).

cnf(i_0_1557,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(X1)))),X1,tc_nat),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1446,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962]) ).

cnf(i_0_1558,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
    inference(rename_variables,[],[i_0_1446]) ).

cnf(i_0_1559,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_1560,plain,
    hBOOL(hAPP(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,X3),X2)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1446,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901]) ).

cnf(i_0_1561,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(X3,X2)) ),
    inference(rename_variables,[],[i_0_901]) ).

cnf(i_0_1562,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1),tc_fun(X1,tc_bool)) = c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1446,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722]) ).

cnf(i_0_1563,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_722]) ).

cnf(i_0_1564,plain,
    c_lessequals(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),c_Suc(hAPP(c_Fun_Ocomp(X1,X2,X7,X4,X8),X6)),tc_nat),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1452,i_0_1446,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994]) ).

cnf(i_0_1565,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_994]) ).

cnf(i_0_1566,plain,
    c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961]) ).

cnf(i_0_1567,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1344]) ).

cnf(i_0_1568,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_961]) ).

cnf(i_0_1569,plain,
    ~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(X1),X2,tc_nat)),X1,tc_nat),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913]) ).

cnf(i_0_1570,plain,
    c_lessequals(X1,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),tc_nat),
    inference(rename_variables,[],[i_0_1448]) ).

cnf(i_0_1571,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_913]) ).

cnf(i_0_1572,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X1)),X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955]) ).

cnf(i_0_1573,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_1574,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,c_Suc(X1)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815]) ).

cnf(i_0_1575,plain,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_815]) ).

cnf(i_0_1576,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X5),X1,X6))),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694]) ).

cnf(i_0_1577,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4))),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_1578,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1579,plain,
    hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Set_Oimage(X2,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X3,X3,X5),X5,X1))),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720]) ).

cnf(i_0_1580,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(rename_variables,[],[i_0_720]) ).

cnf(i_0_1581,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OlessThan(c_in(X3),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X3),X1))),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811]) ).

cnf(i_0_1582,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
    inference(rename_variables,[],[i_0_811]) ).

cnf(i_0_1583,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),X3,X3,X4)),c_SetInterval_Oord_OgreaterThan(c_in(X4),X3,X1))),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812]) ).

cnf(i_0_1584,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
    inference(rename_variables,[],[i_0_812]) ).

cnf(i_0_1585,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatMost(c_in(X3),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X3),X1))),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813]) ).

cnf(i_0_1586,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
    inference(rename_variables,[],[i_0_813]) ).

cnf(i_0_1587,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),hAPP(X3,X2),hAPP(X3,X2),X5),X1,X5))),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713]) ).

cnf(i_0_1588,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1589,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(rename_variables,[],[i_0_713]) ).

cnf(i_0_1590,plain,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105]) ).

cnf(i_0_1591,plain,
    class_Lattices_Odistrib__lattice(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194]) ).

cnf(i_0_1592,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1593,plain,
    class_Lattices_Oupper__semilattice(c_Com_Ocom_Ocom__case(tc_bool,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1096,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195]) ).

cnf(i_0_1594,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1595,plain,
    class_Lattices_Olower__semilattice(c_Com_Ocom_Ocom__case(tc_bool,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1093,i_0_1096,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196]) ).

cnf(i_0_1596,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1597,plain,
    class_HOL_Ominus(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1405,i_0_728,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1096,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198]) ).

cnf(i_0_1598,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1599,plain,
    class_Orderings_Opreorder(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1405,i_0_728,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1096,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199]) ).

cnf(i_0_1600,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1601,plain,
    class_Orderings_Oorder(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1096,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200]) ).

cnf(i_0_1602,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1603,plain,
    c_Com_OWT(c_Com_Ocom_Ocom__case(c_Com_Ocom_OSKIP,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201]) ).

cnf(i_0_1604,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1605,plain,
    class_Orderings_Olinorder(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1084,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204]) ).

cnf(i_0_1606,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1607,plain,
    class_Lattices_Olattice(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1084,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221]) ).

cnf(i_0_1608,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1609,plain,
    class_Complete__Lattice_Ocomplete__lattice(c_Com_Ocom_Ocom__case(tc_bool,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222]) ).

cnf(i_0_1610,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1611,plain,
    class_Lattices_Obounded__lattice(c_Com_Ocom_Ocom__case(tc_bool,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205]) ).

cnf(i_0_1612,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1613,plain,
    class_Orderings_Obot(c_Com_Ocom_Ocom__case(tc_nat,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1287,i_0_1464,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206]) ).

cnf(i_0_1614,plain,
    X1 = c_Com_Ocom_Ocom__case(X1,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),
    inference(rename_variables,[],[i_0_1334]) ).

cnf(i_0_1615,plain,
    c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X1,X3),tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1) = v_xa,
    inference(scs_inference,[],[i_0_1355,i_0_1281,i_0_1268,i_0_1577,i_0_1287,i_0_1464,i_0_1365,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629]) ).

cnf(i_0_1616,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),X2,tc_fun(X1,tc_bool)),hAPP(v_P,v_x),X1)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_xa),X2,tc_fun(X1,tc_bool)))),
    inference(rename_variables,[],[i_0_1365]) ).

cnf(i_0_1617,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4))),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_1618,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X3),X4,tc_fun(X1,tc_bool))))
    | hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_629]) ).

cnf(i_0_1619,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_in(X1),X2),c_Com_Ocom_OSKIP,X3),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X1),X5,c_Suc(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X4),X2,X2,X1))),
    inference(scs_inference,[],[i_0_1355,i_0_1588,i_0_1281,i_0_1268,i_0_1577,i_0_1287,i_0_1464,i_0_1365,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741]) ).

cnf(i_0_1620,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | c_Natural_Oevaln(X3,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_741]) ).

cnf(i_0_1621,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OCond(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4,c_Com_Ocom_OWhile(hAPP(c_in(X5),X6),X7)),c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X8,X9,X10,X11,X12,X13,X14,c_Com_Ocom_OSKIP,X15),X16,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),
    inference(scs_inference,[],[i_0_1355,i_0_1588,i_0_1281,i_0_1268,i_0_1577,i_0_1287,i_0_1547,i_0_1464,i_0_1365,i_0_1394,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742]) ).

cnf(i_0_1622,plain,
    ~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_1623,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | c_Natural_Oevaln(X4,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_742]) ).

cnf(i_0_1624,plain,
    c_Natural_Oevaln(c_Com_Ocom_OCond(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),hAPP(X1,v_xa)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X3,X2),c_Com_Ocom_OSKIP,X4),v_xa,v_n,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_1355,i_0_1588,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1287,i_0_1547,i_0_1464,i_0_1365,i_0_1394,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744]) ).

cnf(i_0_1625,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),hAPP(X1,X3)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),X4,X2),X3)),
    inference(rename_variables,[],[i_0_1281]) ).

cnf(i_0_1626,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | ~ c_Natural_Oevaln(X3,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_744]) ).

cnf(i_0_1627,plain,
    c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(v_P,v_x),X1,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X2)),v_xb,X3,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1355,i_0_1588,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1287,i_0_1547,i_0_1464,i_0_1365,i_0_1394,i_0_1279,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749]) ).

cnf(i_0_1628,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OCond(X1,X3,X4),X2,X5,X6)
    | ~ c_Natural_Oevaln(X4,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_749]) ).

cnf(i_0_1629,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),c_ATP__Linkup_Osko__Set__XballE__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xb,v_xb,X2),hAPP(v_P,v_x),X2))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1355,i_0_1588,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1287,i_0_1547,i_0_1464,i_0_1365,i_0_1394,i_0_1279,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790]) ).

cnf(i_0_1630,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1631,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X4,c_ATP__Linkup_Osko__Set__XballE__1__1(X3,X4,X1)))
    | hBOOL(hAPP(X4,X2)) ),
    inference(rename_variables,[],[i_0_790]) ).

cnf(i_0_1632,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4),hAPP(hAPP(v_P,v_x),v_xb),X5,hAPP(hAPP(v_P,v_x),v_xa)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1355,i_0_1588,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1287,i_0_1547,i_0_1622,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800]) ).

cnf(i_0_1633,plain,
    ~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_1634,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X5)
    | X5 = X2 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1635,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(c_in(X1),v_xb),c_Com_Ocom_OSKIP,X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),v_xb,v_xb,X1),c_Suc(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),v_xb,v_xb,X1))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1355,i_0_1588,i_0_1630,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1287,i_0_1547,i_0_1622,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829]) ).

cnf(i_0_1636,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1637,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,c_Suc(X1)),
    inference(rename_variables,[],[i_0_1405]) ).

cnf(i_0_1638,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
    | c_Natural_Oevalc(X3,X2,X5) ),
    inference(rename_variables,[],[i_0_829]) ).

cnf(i_0_1639,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(c_in(X1),X2),X3,c_Com_Ocom_OSKIP),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),c_Suc(c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1355,i_0_1588,i_0_1630,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837]) ).

cnf(i_0_1640,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,c_Suc(X1)),
    inference(rename_variables,[],[i_0_1405]) ).

cnf(i_0_1641,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
    | c_Natural_Oevalc(X4,X2,X5) ),
    inference(rename_variables,[],[i_0_837]) ).

cnf(i_0_1642,plain,
    c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(v_P,v_x),c_Com_Ocom_OCond(hAPP(v_P,v_x),c_Com_Ocom_OSKIP,X1),X2),v_xa,v_xa),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870]) ).

cnf(i_0_1643,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
    | ~ c_Natural_Oevalc(X3,X2,X5) ),
    inference(rename_variables,[],[i_0_870]) ).

cnf(i_0_1644,plain,
    c_Natural_Oevalc(c_Com_Ocom_OCond(hAPP(v_P,v_x),X1,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X2)),v_xb,v_xb),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871]) ).

cnf(i_0_1645,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OCond(X1,X3,X4),X2,X5)
    | ~ c_Natural_Oevalc(X4,X2,X5) ),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1646,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4),hAPP(hAPP(v_P,v_x),v_xb),hAPP(hAPP(v_P,v_x),v_xa)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942]) ).

cnf(i_0_1647,plain,
    ~ hBOOL(hAPP(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4)),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_1648,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X4)
    | X4 = X2 ),
    inference(rename_variables,[],[i_0_942]) ).

cnf(i_0_1649,plain,
    c_lessequals(hAPP(X1,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X4),X1,X4,tc_bool),tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761]) ).

cnf(i_0_1650,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_lessequals(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,X5),X5)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    inference(rename_variables,[],[i_0_761]) ).

cnf(i_0_1651,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,X3),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,X3),tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797]) ).

cnf(i_0_1652,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X4))
    | c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1653,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X9),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a))),t_a),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821]) ).

cnf(i_0_1654,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1655,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X3),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X3,X2),t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X3,X1,t_a) ),
    inference(rename_variables,[],[i_0_821]) ).

cnf(i_0_1656,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_xb,v_xa),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914]) ).

cnf(i_0_1657,plain,
    ( ~ c_Natural_Oevalc(X1,X2,X3)
    | X4 = X3
    | ~ c_Natural_Oevalc(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_914]) ).

cnf(i_0_1658,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_bool),tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856]) ).

cnf(i_0_1659,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1346]) ).

cnf(i_0_1660,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_856]) ).

cnf(i_0_1661,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_bool),tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1659,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858]) ).

cnf(i_0_1662,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1346]) ).

cnf(i_0_1663,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_858]) ).

cnf(i_0_1664,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X1,tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860]) ).

cnf(i_0_1665,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1346]) ).

cnf(i_0_1666,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4)
    | c_lessequals(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_860]) ).

cnf(i_0_1667,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X2,tc_bool),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862]) ).

cnf(i_0_1668,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(rename_variables,[],[i_0_1346]) ).

cnf(i_0_1669,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4)
    | c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_862]) ).

cnf(i_0_1670,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat))),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878]) ).

cnf(i_0_1671,plain,
    ~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
    inference(rename_variables,[],[i_0_1341]) ).

cnf(i_0_1672,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_878]) ).

cnf(i_0_1673,plain,
    ~ c_lessequals(c_Suc(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat))),X2,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1344,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879]) ).

cnf(i_0_1674,plain,
    ~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
    inference(rename_variables,[],[i_0_1341]) ).

cnf(i_0_1675,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4)
    | ~ c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_879]) ).

cnf(i_0_1676,plain,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,c_Suc(c_Suc(v_n)),v_xb),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1089,i_0_1085,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765]) ).

cnf(i_0_1677,plain,
    c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
    inference(rename_variables,[],[i_0_1344]) ).

cnf(i_0_1678,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_Natural_Oevaln(X3,X4,X1,X5)
    | c_Natural_Oevaln(X3,X4,X2,X5) ),
    inference(rename_variables,[],[i_0_765]) ).

cnf(i_0_1679,plain,
    c_Fun_Oinj__on(c_Fun_Ocomp(c_COMBI(X1),c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),X1,X1,X1),X2,X1,X1),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656]) ).

cnf(i_0_1680,plain,
    c_Fun_Oinj__on(c_COMBI(X1),X2,X1,X1),
    inference(rename_variables,[],[i_0_885]) ).

cnf(i_0_1681,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X5,X6,X4),X3,X4,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_656]) ).

cnf(i_0_1682,plain,
    ~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X1)),X2,tc_nat)),X1,tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897]) ).

cnf(i_0_1683,plain,
    c_lessequals(X1,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat)),tc_nat),
    inference(rename_variables,[],[i_0_1448]) ).

cnf(i_0_1684,plain,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(rename_variables,[],[i_0_897]) ).

cnf(i_0_1685,plain,
    c_lessequals(X1,c_Suc(X1),c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969]) ).

cnf(i_0_1686,plain,
    ~ c_lessequals(c_Suc(X1),X1,c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(rename_variables,[],[i_0_1454]) ).

cnf(i_0_1687,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_969]) ).

cnf(i_0_1688,plain,
    c_Set_Oimage(c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),hAPP(hAPP(v_P,v_x),v_xa),X1,X1) != c_Set_Oimage(c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),hAPP(hAPP(v_P,v_x),v_xb),X1,X1),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714]) ).

cnf(i_0_1689,plain,
    c_Fun_Oinj__on(c_Fun_Ocomp(c_Fun_Oid(X1),c_COMBI(X1),X1,X1,X1),X2,X1,X1),
    inference(rename_variables,[],[i_0_1425]) ).

cnf(i_0_1690,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X1,X2,X4,X5) != c_Set_Oimage(X1,X3,X4,X5)
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_714]) ).

cnf(i_0_1691,plain,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X9),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)))),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X9),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798]) ).

cnf(i_0_1692,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1693,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1(X3,X2)),X2))
    | c_Hoare__Mirabelle_Otriple__valid(X3,X1,t_a) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1694,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),v_xa,v_xa,X1),hAPP(v_P,v_x),X1)),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),v_xa,v_xa,X1))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759]) ).

cnf(i_0_1695,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1696,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(X3,X4,X1)),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(rename_variables,[],[i_0_759]) ).

cnf(i_0_1697,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),v_xa,v_xa,X1),hAPP(v_P,v_x),X1)),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),v_xa,v_xa,X1))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758]) ).

cnf(i_0_1698,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1699,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(X3,X4,X1)),X3))
    | ~ hBOOL(hAPP(X4,X2)) ),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_1700,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_xa),c_SetInterval_Oord_OatLeastLessThan(v_P,c_in(X2),v_x,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),v_xa,v_xa,X2),X1))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640]) ).

cnf(i_0_1701,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1702,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X5),X2))
    | hBOOL(hAPP(hAPP(c_in(X6),X2),c_SetInterval_Oord_OatLeastLessThan(X4,X1,X5,X3,X6))) ),
    inference(rename_variables,[],[i_0_640]) ).

cnf(i_0_1703,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),X3,X3,X4)),c_SetInterval_Oord_OatLeastAtMost(c_in(X4),X3,hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),X3,X3,X4)),X1))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721]) ).

cnf(i_0_1704,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))),
    inference(rename_variables,[],[i_0_1357]) ).

cnf(i_0_1705,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X1,X4),X2))
    | hBOOL(hAPP(hAPP(c_in(X5),X2),c_SetInterval_Oord_OatLeastAtMost(X1,X4,X3,X5))) ),
    inference(rename_variables,[],[i_0_721]) ).

cnf(i_0_1706,plain,
    hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1)) != hAPP(hAPP(v_P,v_x),v_xb),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203]) ).

cnf(i_0_1707,plain,
    ~ c_Natural_Oevaln(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X6,X7,X8,X9,X10,X11,X12,c_Com_Ocom_OSKIP,X13),X14,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211]) ).

cnf(i_0_1708,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1709,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),X12,tc_fun(X13,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),X12,tc_fun(X13,tc_bool)),tc_fun(X13,tc_bool)),X14,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212]) ).

cnf(i_0_1710,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1711,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Com_Ocom_Ocom__case(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11),X12,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X13,tc_fun(X14,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X13,tc_fun(X14,tc_bool)),tc_fun(X14,tc_bool))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214]) ).

cnf(i_0_1712,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1713,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),X9,tc_fun(X10,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),X9,tc_fun(X10,tc_bool)),tc_fun(X10,tc_bool)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),t_a),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215]) ).

cnf(i_0_1714,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1715,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X9,tc_fun(X10,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X9,tc_fun(X10,tc_bool)),tc_fun(X10,tc_bool)),t_a),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216]) ).

cnf(i_0_1716,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1717,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_Com_Ocom_Ocom__case(v_n,X1,X2,X3,X4,X5,X6,X7,c_Com_Ocom_OSKIP,X8),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(t_a,X9,tc_fun(X10,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(t_a,X9,tc_fun(X10,tc_bool)),tc_fun(X10,tc_bool))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217]) ).

cnf(i_0_1718,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1719,plain,
    c_Suc(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)) != c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_794,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106]) ).

cnf(i_0_1720,plain,
    c_Suc(X1) != X1,
    inference(rename_variables,[],[i_0_1080]) ).

cnf(i_0_1721,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool)),X9,X10,X11,X12,X13,X14,c_Suc(hAPP(hAPP(c_Fun_Ocomp(X1,X2,X15,X4,X16),X6),c_Orderings_Obot__class_Obot(tc_fun(X17,tc_bool)))),X17),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182]) ).

cnf(i_0_1722,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1723,plain,
    ~ c_Natural_Oevalc(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191]) ).

cnf(i_0_1724,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1725,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192]) ).

cnf(i_0_1726,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1727,plain,
    ~ c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193]) ).

cnf(i_0_1728,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1729,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X3,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223]) ).

cnf(i_0_1730,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1731,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224]) ).

cnf(i_0_1732,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(rename_variables,[],[i_0_1460]) ).

cnf(i_0_1733,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1262]) ).

cnf(i_0_1734,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(t_a,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(t_a,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225]) ).

cnf(i_0_1735,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1736,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Suc(X1),X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),X1,c_Com_Ocom_Ocom__case(tc_nat,X4,X5,X6,X7,X8,X9,X10,c_Com_Ocom_OSKIP,X11)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218]) ).

cnf(i_0_1737,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1738,plain,
    ~ c_lessequals(c_Suc(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2)),c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X3),X3,X3,tc_bool),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Com_Ocom_Ocom__case(tc_nat,X5,X6,X7,X8,X9,X10,X11,c_Com_Ocom_OSKIP,X12)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219]) ).

cnf(i_0_1739,plain,
    ~ c_lessequals(c_Suc(X1),X1,c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(rename_variables,[],[i_0_1454]) ).

cnf(i_0_1740,plain,
    ~ c_lessequals(c_Suc(X1),X1,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),X10,tc_fun(X11,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9),X10,tc_fun(X11,tc_bool)),tc_fun(X11,tc_bool))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_794,i_0_1410,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220]) ).

cnf(i_0_1741,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1742,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),X8,tc_fun(X9,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_Fun_Ocomp(X2,X3,X4,X5,X6),X7),X8,tc_fun(X9,tc_bool)),tc_fun(X9,tc_bool)),X10,X11,X12,X13,c_Suc(hAPP(hAPP(c_Fun_Ocomp(X2,X3,X14,X5,X15),X7),c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)))),X17,X16),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183]) ).

cnf(i_0_1743,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1744,plain,
    ~ c_Complete__Lattice_Ocomplete__lattice(X1,X2,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_in(X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_in(X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X6,X7,X8,X9,X10,X11),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184]) ).

cnf(i_0_1745,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1746,plain,
    ~ c_lessequals(c_Suc(c_Suc(X1)),X1,c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891]) ).

cnf(i_0_1747,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_891]) ).

cnf(i_0_1748,plain,
    ~ c_Hoare__Mirabelle_Ohoare__valids(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793]) ).

cnf(i_0_1749,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1750,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4))),
    inference(rename_variables,[],[i_0_1268]) ).

cnf(i_0_1751,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_sko__Hoare__Mirabelle__Xhoare__valids__def__1(X3,X4)),X3))
    | ~ c_Hoare__Mirabelle_Ohoare__valids(X3,X2,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(X4,X1,t_a) ),
    inference(rename_variables,[],[i_0_793]) ).

cnf(i_0_1752,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_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824]) ).

cnf(i_0_1753,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_824]) ).

cnf(i_0_1754,plain,
    ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X3,tc_bool)),X4)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825]) ).

cnf(i_0_1755,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_825]) ).

cnf(i_0_1756,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),c_ATP__Linkup_Osko__Set__XbexE__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xa,v_xa,X2),hAPP(v_P,v_x),X2)),v_xa)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696]) ).

cnf(i_0_1757,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | hBOOL(hAPP(hAPP(X3,X2),X5)) ),
    inference(rename_variables,[],[i_0_696]) ).

cnf(i_0_1758,plain,
    c_lessequals(X1,X1,c_Com_Ocom_Ocom__case(tc_nat,X2,X3,X4,X5,X6,X7,X8,c_Com_Ocom_OSKIP,X9)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029]) ).

cnf(i_0_1759,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1029]) ).

cnf(i_0_1760,plain,
    c_ATP__Linkup_Osko__Set__XbexE__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xa,v_xa,X2),hAPP(v_P,v_x),X2) = v_xa,
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931]) ).

cnf(i_0_1761,plain,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_1762,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),v_xa),c_ATP__Linkup_Osko__Set__XbexE__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xa,v_xa,X2),hAPP(v_P,v_x),X2))),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697]) ).

cnf(i_0_1763,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    inference(rename_variables,[],[i_0_697]) ).

cnf(i_0_1764,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3),X5,X4),X6)),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950]) ).

cnf(i_0_1765,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(rename_variables,[],[i_0_950]) ).

cnf(i_0_1766,plain,
    c_lessequals(X1,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat)),tc_nat),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950,i_0_974]) ).

cnf(i_0_1767,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_974]) ).

cnf(i_0_1768,plain,
    ( c_Hoare__Mirabelle_Ohoare__valids(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,tc_Hoare__Mirabelle_Otriple(t_a)),X3,t_a)
    | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,tc_Hoare__Mirabelle_Otriple(t_a)),X3),X2,t_a) ),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1749,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950,i_0_974,i_0_838]) ).

cnf(i_0_1769,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),X2,X2,X1))),
    inference(rename_variables,[],[i_0_1355]) ).

cnf(i_0_1770,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),X2))
    | c_Hoare__Mirabelle_Otriple__valid(v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(X2,X3),X1,t_a)
    | c_Hoare__Mirabelle_Ohoare__valids(X2,X3,t_a) ),
    inference(rename_variables,[],[i_0_838]) ).

cnf(i_0_1771,plain,
    ( ~ c_Natural_Oevaln(X1,v_xa,v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_xb)
    | c_Hoare__Mirabelle_Ohoare__valids(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X3,t_a) ),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1749,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950,i_0_974,i_0_838,i_0_710]) ).

cnf(i_0_1772,plain,
    ( hBOOL(hAPP(hAPP(X1,X2),X3))
    | ~ hBOOL(hAPP(hAPP(X4,X2),X5))
    | ~ c_Hoare__Mirabelle_Otriple__valid(X6,c_Hoare__Mirabelle_Otriple_Otriple(X4,X7,X1,t_a),t_a)
    | ~ c_Natural_Oevaln(X7,X5,X6,X3) ),
    inference(rename_variables,[],[i_0_710]) ).

cnf(i_0_1773,plain,
    ( ~ c_Natural_Oevaln(X1,v_xa,v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_xb)
    | c_Hoare__Mirabelle_Ohoare__valids(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X3,t_a) ),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1749,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950,i_0_974,i_0_838,i_0_710,i_0_731]) ).

cnf(i_0_1774,plain,
    c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(v_P,v_x),X1),v_xb,X2,v_xb),
    inference(rename_variables,[],[i_0_1279]) ).

cnf(i_0_1775,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X5)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X6,X4,X5)
    | ~ c_Natural_Oevaln(X3,X2,X4,X6) ),
    inference(rename_variables,[],[i_0_731]) ).

cnf(i_0_1776,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Suc(X1),tc_nat),tc_nat)
    | c_Hoare__Mirabelle_Ohoare__valids(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X3),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X4),v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),X4),v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X5,t_a) ),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1749,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950,i_0_974,i_0_838,i_0_710,i_0_731,i_0_943]) ).

cnf(i_0_1777,plain,
    ( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_943]) ).

cnf(i_0_1778,plain,
    ( ~ c_Natural_Oevaln(X1,v_xa,v_sko__Hoare__Mirabelle__Xhoare__valids__def__2(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,X1)),v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,X1)),v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_xb)
    | c_Hoare__Mirabelle_Ohoare__valids(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,X1)),v_P,t_a),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OWhile(hAPP(v_P,v_x),c_Com_Ocom_OSemi(c_Com_Ocom_OSKIP,X1)),v_P,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),X3,t_a) ),
    inference(scs_inference,[],[i_0_890,i_0_996,i_0_1024,i_0_1348,i_0_1355,i_0_1588,i_0_1630,i_0_1636,i_0_1654,i_0_1692,i_0_1695,i_0_1698,i_0_1701,i_0_1749,i_0_1281,i_0_1550,i_0_1268,i_0_1577,i_0_1617,i_0_1287,i_0_1547,i_0_1622,i_0_1633,i_0_1357,i_0_1464,i_0_1365,i_0_1262,i_0_1394,i_0_1388,i_0_1391,i_0_1488,i_0_1460,i_0_1732,i_0_1279,i_0_1285,i_0_1382,i_0_823,i_0_1528,i_0_1708,i_0_1710,i_0_1712,i_0_1714,i_0_1716,i_0_1718,i_0_1722,i_0_1724,i_0_1726,i_0_1728,i_0_1730,i_0_1735,i_0_1737,i_0_1741,i_0_1743,i_0_794,i_0_1410,i_0_1411,i_0_1334,i_0_1592,i_0_1594,i_0_1596,i_0_1598,i_0_1600,i_0_1602,i_0_1604,i_0_1606,i_0_1608,i_0_1610,i_0_1612,i_0_1405,i_0_1637,i_0_1472,i_0_728,i_0_888,i_0_1080,i_0_885,i_0_1089,i_0_1085,i_0_1425,i_0_1335,i_0_1454,i_0_1686,i_0_1739,i_0_1346,i_0_1659,i_0_1662,i_0_1665,i_0_1341,i_0_1671,i_0_1674,i_0_1344,i_0_1567,i_0_1452,i_0_1446,i_0_1448,i_0_1570,i_0_1087,i_0_1091,i_0_1093,i_0_1094,i_0_1096,i_0_1097,i_0_1099,i_0_1102,i_0_1084,i_0_1101,i_0_1095,i_0_665,i_0_681,i_0_682,i_0_868,i_0_975,i_0_1002,i_0_637,i_0_641,i_0_661,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_642,i_0_962,i_0_901,i_0_722,i_0_994,i_0_961,i_0_913,i_0_955,i_0_815,i_0_694,i_0_720,i_0_811,i_0_812,i_0_813,i_0_713,i_0_1105,i_0_1194,i_0_1195,i_0_1196,i_0_1198,i_0_1199,i_0_1200,i_0_1201,i_0_1204,i_0_1221,i_0_1222,i_0_1205,i_0_1206,i_0_629,i_0_741,i_0_742,i_0_744,i_0_749,i_0_790,i_0_800,i_0_829,i_0_837,i_0_870,i_0_871,i_0_942,i_0_761,i_0_797,i_0_821,i_0_914,i_0_856,i_0_858,i_0_860,i_0_862,i_0_878,i_0_879,i_0_765,i_0_656,i_0_897,i_0_969,i_0_714,i_0_798,i_0_759,i_0_758,i_0_640,i_0_721,i_0_1203,i_0_1211,i_0_1212,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1106,i_0_1182,i_0_1191,i_0_1192,i_0_1193,i_0_1223,i_0_1224,i_0_1225,i_0_1218,i_0_1219,i_0_1220,i_0_1183,i_0_1184,i_0_891,i_0_793,i_0_824,i_0_825,i_0_696,i_0_1029,i_0_931,i_0_697,i_0_950,i_0_974,i_0_838,i_0_710,i_0_731,i_0_943,i_0_735]) ).

cnf(i_0_1779,plain,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_1780,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
    | ~ c_Natural_Oevaln(X1,X3,X4,X6)
    | ~ c_Natural_Oevaln(X2,X6,X4,X5) ),
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_1781,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(rename_variables,[],[i_0_1329]) ).

cnf(i_0_1782,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_767]) ).

cnf(i_0_1783,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_698]) ).

cnf(i_0_1784,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1786,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_fequal(X1),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),c_Com_Ocom_OSKIP,X2),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X3,c_Suc(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a))),
    inference(scs_inference,[],[i_0_1574,i_0_1509]) ).

cnf(i_0_1787,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,c_Suc(X1)),
    inference(rename_variables,[],[i_0_1574]) ).

cnf(i_0_1788,plain,
    ( c_Natural_Oevaln(X1,c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X2,X3)
    | ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_fequal(X4),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),X1,X5),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),X2,X3) ),
    inference(rename_variables,[],[i_0_1509]) ).

cnf(i_0_1789,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xa,v_xa,X2),hAPP(v_P,v_x),X2)),v_xa)),
    inference(scs_inference,[],[i_0_1697,i_0_1574,i_0_1509,i_0_696]) ).

cnf(i_0_1790,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | hBOOL(hAPP(hAPP(X3,X2),X5)) ),
    inference(rename_variables,[],[i_0_696]) ).

cnf(i_0_1791,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)),c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X1,X7),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X1,X7),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1576,i_0_1697,i_0_1574,i_0_1509,i_0_696,i_0_681]) ).

cnf(i_0_1792,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_681]) ).

cnf(i_0_1793,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3),X5,X4),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X5),X5,X5,tc_bool),X6),X7,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3),X5,X4),X7,tc_fun(X5,tc_bool)),
    inference(scs_inference,[],[i_0_1576,i_0_1697,i_0_1574,i_0_1509,i_0_696,i_0_681,i_0_682]) ).

cnf(i_0_1794,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_682]) ).

cnf(i_0_1795,plain,
    ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),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)),X5)),
    inference(scs_inference,[],[i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002]) ).

cnf(i_0_1796,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_767]) ).

cnf(i_0_1797,plain,
    ( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(hAPP(X1,X3)) ),
    inference(rename_variables,[],[i_0_1002]) ).

cnf(i_0_1798,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_x),c_HOL_Ominus__class_Ominus(c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X1),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_x),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X1),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637]) ).

cnf(i_0_1799,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_637]) ).

cnf(i_0_1800,plain,
    hAPP(c_Fun_Ocomp(c_Fun_Oid(X1),c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3),X4,X5,X6),hAPP(X7,X8)) = hAPP(c_Fun_Ocomp(X2,X7,X9,X5,X10),X8),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641]) ).

cnf(i_0_1801,plain,
    hAPP(c_Fun_Oid(X1),hAPP(c_Fun_Ocomp(c_Fun_Oid(X1),X2,X1,X1,X3),X4)) = hAPP(X2,X4),
    inference(rename_variables,[],[i_0_1303]) ).

cnf(i_0_1802,plain,
    ( hAPP(X1,hAPP(X2,X3)) != hAPP(X4,hAPP(X5,X6))
    | hAPP(c_Fun_Ocomp(X1,X2,X7,X8,X9),X3) = hAPP(c_Fun_Ocomp(X4,X5,X10,X8,X11),X6) ),
    inference(rename_variables,[],[i_0_641]) ).

cnf(i_0_1803,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_x),X2,tc_fun(X1,tc_bool)),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X1),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_x),c_Lattices_Olower__semilattice__class_Oinf(X2,c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X1),tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662]) ).

cnf(i_0_1804,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_1805,plain,
    c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord_OatLeastLessThan(c_fequal(X1),v_P,v_x,v_xa,X2),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),v_x),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),v_x),c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord_OatLeastLessThan(c_fequal(X1),v_P,v_x,v_xa,X2),X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663]) ).

cnf(i_0_1806,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_663]) ).

cnf(i_0_1807,plain,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_x),X2,tc_fun(X1,tc_bool)),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X1),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X1),tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680]) ).

cnf(i_0_1808,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X3,tc_fun(X1,tc_bool)) ),
    inference(rename_variables,[],[i_0_680]) ).

cnf(i_0_1809,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),hAPP(X2,v_x)),c_Set_Oimage(X2,c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X4),X4,X1),tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X4),X4,X1),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691]) ).

cnf(i_0_1810,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X5,X3,X1,X4) ),
    inference(rename_variables,[],[i_0_691]) ).

cnf(i_0_1811,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X4),X6,X5),X7,X8),X9)),
    inference(scs_inference,[],[i_0_1352,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701]) ).

cnf(i_0_1812,plain,
    ~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X3),X5,X4),X6)),
    inference(rename_variables,[],[i_0_1764]) ).

cnf(i_0_1813,plain,
    ( hBOOL(hAPP(X1,hAPP(X2,X3)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_701]) ).

cnf(i_0_1814,plain,
    hBOOL(hAPP(c_Set_Ovimage(X1,c_SetInterval_Oord_OatLeastAtMost(c_fequal(X2),hAPP(X1,X3),hAPP(X1,X3),X4),X5,X6),X3)),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730]) ).

cnf(i_0_1815,plain,
    hBOOL(hAPP(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),X2,X2,X3),X2)),
    inference(rename_variables,[],[i_0_1560]) ).

cnf(i_0_1816,plain,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(rename_variables,[],[i_0_730]) ).

cnf(i_0_1817,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X3),X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X3),X1,X3,tc_fun(X4,tc_bool)),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732]) ).

cnf(i_0_1818,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(X4,X2),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X4,X1,tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_732]) ).

cnf(i_0_1819,plain,
    c_Natural_Oevaln(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X1,X7),X8,c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X1,X7)),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868]) ).

cnf(i_0_1820,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevaln(c_Com_Ocom_OWhile(X1,X3),X2,X4,X2) ),
    inference(rename_variables,[],[i_0_868]) ).

cnf(i_0_1821,plain,
    hBOOL(hAPP(c_SetInterval_Oord_OatLeastLessThan(c_fequal(X1),v_P,v_x,v_xa,X2),v_x)),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901]) ).

cnf(i_0_1822,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(X3,X2)) ),
    inference(rename_variables,[],[i_0_901]) ).

cnf(i_0_1823,plain,
    c_Natural_Oevalc(c_Com_Ocom_OWhile(hAPP(c_in(X1),X2),X3),c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X1,X7),c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X1,X7)),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975]) ).

cnf(i_0_1824,plain,
    ( hBOOL(hAPP(X1,X2))
    | c_Natural_Oevalc(c_Com_Ocom_OWhile(X1,X3),X2,X2) ),
    inference(rename_variables,[],[i_0_975]) ).

cnf(i_0_1825,plain,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),v_x),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X1),tc_fun(X1,tc_bool)) = c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X1),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722]) ).

cnf(i_0_1826,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2),X3,tc_fun(X1,tc_bool)) = X3 ),
    inference(rename_variables,[],[i_0_722]) ).

cnf(i_0_1827,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,c_Set_Oimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5,X6),X6,X7),X7,X8),X8,X9),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1554,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642]) ).

cnf(i_0_1828,plain,
    c_Fun_Oinj__on(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),X5,X6),X6,X7),
    inference(rename_variables,[],[i_0_1554]) ).

cnf(i_0_1829,plain,
    ( ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4) ),
    inference(rename_variables,[],[i_0_642]) ).

cnf(i_0_1830,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Suc(c_Suc(X2)),tc_nat),X2,tc_nat),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1554,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962]) ).

cnf(i_0_1831,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Suc(X2),tc_nat),X2,tc_nat),
    inference(rename_variables,[],[i_0_1477]) ).

cnf(i_0_1832,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_962]) ).

cnf(i_0_1833,plain,
    v_xa = c_ATP__Linkup_Osko__Set__XbexE__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xa,v_xa,X2),hAPP(v_P,v_x),X2),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1554,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931]) ).

cnf(i_0_1834,plain,
    ( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_1835,plain,
    hBOOL(hAPP(hAPP(c_fequal(X1),v_xa),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(c_SetInterval_Oord_OatLeastAtMost(c_fequal(X1),v_xa,v_xa,X2),hAPP(v_P,v_x),X2))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1554,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697]) ).

cnf(i_0_1836,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_SetInterval_Oord_OatLeastAtMost(X3,X4,X5,X1)))
    | hBOOL(hAPP(hAPP(X3,X4),X2)) ),
    inference(rename_variables,[],[i_0_697]) ).

cnf(i_0_1837,plain,
    c_lessequals(X1,c_Suc(c_Suc(c_Suc(c_Suc(X1)))),tc_nat),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1554,i_0_1566,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961]) ).

cnf(i_0_1838,plain,
    c_lessequals(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat),
    inference(rename_variables,[],[i_0_1566]) ).

cnf(i_0_1839,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_961]) ).

cnf(i_0_1840,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Suc(X1),tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994]) ).

cnf(i_0_1841,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_994]) ).

cnf(i_0_1842,plain,
    ~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Suc(X2),tc_nat)),X2,tc_nat),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913]) ).

cnf(i_0_1843,plain,
    c_lessequals(X1,c_Suc(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat)),tc_nat),
    inference(rename_variables,[],[i_0_1766]) ).

cnf(i_0_1844,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_913]) ).

cnf(i_0_1845,plain,
    ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(c_Suc(X1))),X2,tc_nat),X1,tc_nat),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955]) ).

cnf(i_0_1846,plain,
    ~ c_lessequals(c_Suc(c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X1)),X2,tc_nat)),X1,tc_nat),
    inference(rename_variables,[],[i_0_1682]) ).

cnf(i_0_1847,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_1848,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X6),X8,X7),X1,X8))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694]) ).

cnf(i_0_1849,plain,
    ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X5),X1,X6))),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_1850,plain,
    ( hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1851,plain,
    ~ c_Natural_Oevaln(c_Com_Ocom_OCond(hAPP(c_in(X1),X2),X3,c_Com_Ocom_OSKIP),c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5),X6,c_Suc(c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X1,X5))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815]) ).

cnf(i_0_1852,plain,
    ( c_Natural_Oevalc(X1,X2,X3)
    | ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_815]) ).

cnf(i_0_1853,plain,
    hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,v_x)),c_Set_Oimage(X2,c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X4),X4,X1))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720]) ).

cnf(i_0_1854,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),hAPP(X5,X2)),c_Set_Oimage(X5,X3,X1,X4))) ),
    inference(rename_variables,[],[i_0_720]) ).

cnf(i_0_1855,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Ovimage(X3,hAPP(c_COMBC(c_fequal(X4),X4,X4,tc_bool),hAPP(X3,X2)),X1,X4))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_1357,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720,i_0_713]) ).

cnf(i_0_1856,plain,
    hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X2))),
    inference(rename_variables,[],[i_0_1357]) ).

cnf(i_0_1857,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(X1),hAPP(X2,X3)),X4))
    | hBOOL(hAPP(hAPP(c_in(X5),X3),c_Set_Ovimage(X2,X4,X5,X1))) ),
    inference(rename_variables,[],[i_0_713]) ).

cnf(i_0_1858,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_x),c_SetInterval_Oord_OlessThan(c_in(X2),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X2),X1))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_1357,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720,i_0_713,i_0_811]) ).

cnf(i_0_1859,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OlessThan(X1,X3,X4))) ),
    inference(rename_variables,[],[i_0_811]) ).

cnf(i_0_1860,plain,
    hBOOL(hAPP(hAPP(c_in(X1),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X2),v_P,v_x,v_xa,X3)),c_SetInterval_Oord_OgreaterThan(c_in(X3),v_x,X1))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_1357,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720,i_0_713,i_0_811,i_0_812]) ).

cnf(i_0_1861,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X3),c_SetInterval_Oord_OgreaterThan(X1,X2,X4))) ),
    inference(rename_variables,[],[i_0_812]) ).

cnf(i_0_1862,plain,
    hBOOL(hAPP(hAPP(c_in(X1),v_x),c_SetInterval_Oord_OatMost(c_in(X2),c_SetInterval_Oord_OatLeastLessThan(c_fequal(X3),v_P,v_x,v_xa,X2),X1))),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_1357,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720,i_0_713,i_0_811,i_0_812,i_0_813]) ).

cnf(i_0_1863,plain,
    ( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
    | hBOOL(hAPP(hAPP(c_in(X4),X2),c_SetInterval_Oord_OatMost(X1,X3,X4))) ),
    inference(rename_variables,[],[i_0_813]) ).

cnf(i_0_1864,plain,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Suc(c_Suc(X1)),X2,tc_nat),tc_nat),
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_1357,i_0_767,i_0_1303,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1846,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720,i_0_713,i_0_811,i_0_812,i_0_813,i_0_974]) ).

cnf(i_0_1865,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(rename_variables,[],[i_0_974]) ).

cnf(i_0_1866,plain,
    $false,
    inference(scs_inference,[],[i_0_1352,i_0_1560,i_0_1576,i_0_1764,i_0_1277,i_0_1697,i_0_1639,i_0_1762,i_0_1574,i_0_1357,i_0_767,i_0_1303,i_0_1472,i_0_1477,i_0_1831,i_0_1554,i_0_1566,i_0_1766,i_0_1682,i_0_1846,i_0_1509,i_0_696,i_0_681,i_0_682,i_0_1002,i_0_637,i_0_641,i_0_662,i_0_663,i_0_680,i_0_691,i_0_701,i_0_730,i_0_732,i_0_868,i_0_901,i_0_975,i_0_722,i_0_642,i_0_962,i_0_931,i_0_697,i_0_961,i_0_994,i_0_913,i_0_955,i_0_694,i_0_815,i_0_720,i_0_713,i_0_811,i_0_812,i_0_813,i_0_974,i_0_1105]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : SWV860-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.06  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24  % Computer : n012.cluster.edu
% 0.07/0.24  % Model    : x86_64 x86_64
% 0.07/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24  % Memory   : 8042.1875MB
% 0.07/0.24  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24  % CPULimit   : 300
% 0.07/0.24  % WCLimit    : 300
% 0.07/0.24  % DateTime   : Tue May  5 06:05:01 EDT 2026
% 0.07/0.24  % CPUTime    : 
% 0.07/0.25  % start to proof: theBenchmark
% 1.15/1.52  % Version  : CSE_E---1.7
% 1.15/1.52  % Problem  : theBenchmark.p
% 1.15/1.52  % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.52  % SZS output start CNFRefutation
% See solution above
% 6.82/7.25  % Total time : 1.265s
%------------------------------------------------------------------------------